Last update:
Sat Sep 21 14:41:21 MDT 2024
Sigurd Bragnum Varför Tunneldioder? (Swedish) [Why
tunnel diodes?] . . . . . . . . . . . . 2--7
G. Ehrling On the Numerical Computation of
Incomplete Elliptic Integrals . . . . . 8--14
Carl-Erik Fröberg On the Sum of Inverses of Primes and of
Twin Primes . . . . . . . . . . . . . . 15--20
Jan V. Garwick The Programming of Large Logical
Problems . . . . . . . . . . . . . . . . 21--26
Birger Jansson Study of Antiaircraft Systems by
Simulation with a Monte Carlo Model . . 27--37
J. Jensen and
P. Naur An Implementation of ALGOL 60 Procedures 38--47
Risto Kivivuori A Method for Checking Numerical Codes
Using the 1401 . . . . . . . . . . . . . 48--53
Börje Langefors Information Retrieval in File Processing
I . . . . . . . . . . . . . . . . . . . 54--63
Anonymous ALGOL programming . . . . . . . . . . . 64--64
Olle Dopping ADB för folkbokföring och skatteuppbörd i
Sverige. (Swedish) [EDP for people
registration and tax processing in
Sweden] . . . . . . . . . . . . . . . . 65--68
Jöran Friberg Conditionally Stable Difference
Approximations for the Wave-Operator . . 69--86
Jan V. Garwick The Accuracy of Floating Point Computers 87--88
J. Jensen and
P. Mondrup and
P. Naur A Storage Allocation Scheme for ALGOL 60 89--102
Börje Langefors Information Retrieval in File Processing
II . . . . . . . . . . . . . . . . . . . 103--112
Aage Melbye Bearbejdning af Valgresultater på DASK.
(Danish) [Processing of election results
on DASK] . . . . . . . . . . . . . . . . 113--129
Hans Riesel A Case of Numerical Divergence . . . . . 130--131
Kurt Volby COBOL: en introduktion. (Swedish)
[COBOL: an introduction] . . . . . . . . 132--137
Anonymous Notes . . . . . . . . . . . . . . . . . 138--140
Anonymous Errata . . . . . . . . . . . . . . . . . 140--140
Anonymous Notes: Nordsam 1961 . . . . . . . . . . 138--140
Chr. Andersen The application of the
Lichtenstein--Gershgorin integral
equation in conformal mapping . . . . . 141--166
Stig Comét Factorization of Factorials . . . . . . 167--176
Jan V. Garwick An Input System for Electronic Computers 177--199
Torben Krarup The Fixed Point Division in GIER . . . . 200--201
Bent Scharòe Petersen Dimensionering af drivtrin for
diodeafkodninger. (Danish) [Dimensioning
of drive steps for diode decoders] . . . 202--205
K. Volby COBOL-grammatiken. (Swedish) [COBOL
grammar] . . . . . . . . . . . . . . . . 206--219
O. Amble and
Jan V. Garwick On the Accuracy of Floating Point
Computers [BIT \bf 1(2), 1961, pp.
87--88] . . . . . . . . . . . . . . . . 220--222
J. V. Garwick Reply to ``On the Accuracy of Floating
Point Computers'' [BIT \bf 1(3), 1961,
pp. 220--221] . . . . . . . . . . . . . 222--222
Anonymous Notice to subscribers . . . . . . . . . 223--223
Erik Magnus Alesen Analogue Calculation of $\chi^2$ for the
Testing of Hypothesis . . . . . . . . . 224--226
E. M. Alfsen Analogue Calculation of $\chi^2$ for the
Testing of Hypothesis . . . . . . . . . 224--226
Louis Fein The Computer-Related Sciences
(Synnoetics) at a University in the Year
1975 . . . . . . . . . . . . . . . . . . 227--255
Carl-Erik Fröberg Rational Chebyshev Approximations of
Elementary Functions . . . . . . . . . . 256--262
Kurt Volby COBOL-kompilering. (Swedish) [COBOL
compilation] . . . . . . . . . . . . . . 263--285
P. Wynn On the Tabulation of Indefinite
Integrals . . . . . . . . . . . . . . . 286--289
Anonymous ALGOL Programming . . . . . . . . . . . 290--290
Aarre Aaltonen Computer Type Instruments . . . . . . . 1--6
Ole-Johan Dahl Litt om symbolbruken i Algol.
(Norwegian) [A little about symbol use
in Algol] . . . . . . . . . . . . . . . 7--8
Bertil Greko Computer analysis of medical history as
an aid to diagnosis . . . . . . . . . . 9--15
Olle Karlqvist Applications to the Magnetic Tape
Storage Unit, Facit ECM 64 (the Carousel
Memory) . . . . . . . . . . . . . . . . 16--20
Börje Langefors Activity Network for Planning and
Scheduling . . . . . . . . . . . . . . . 21--34
Aage Melbye and
Poul Sveistrup The Need for Education and Research in
Administrative Data Processing . . . . . 35--44
Lars Erik Thorelli Automatic Correction of Errors in Text 45--52
Linde Wittmeyer Rational Approximation of Empirical
Functions . . . . . . . . . . . . . . . 53--60
P. Wynn Note on the Solution of a Certain
Boundary-Value Problem . . . . . . . . . 61--64
Olli Lokki New Books and Journals . . . . . . . . . 65--67
Anonymous Notes . . . . . . . . . . . . . . . . . 66--67
Klaus Appel Rational Approximation of Decay-Type
Functions . . . . . . . . . . . . . . . 69--75
Bengt Asker The Spline Curve, a Smooth Interpolating
Function Used in Numerical Design of
Ship-Lines . . . . . . . . . . . . . . . 76--82
Lassi Hyvärinen Classification of Qualitative Data . . . 83--89
Edgar Karst Some New Divisors of Mersenne Numbers 90--90
Börje Langefors Computation of Parts Requirements for
Production Scheduling . . . . . . . . . 91--111
Bent Scharòe Petersen Styrekredse for linieskriver. (Danish)
[Control circuit for a line printer] . . 112--117
Aage Melbye New Books and Journals . . . . . . . . . 118--119
Anonymous International computation centre (ICC) 120--121
Anonymous IFIP Congress 1962, Munich, August 27 to
September 1, 1962 . . . . . . . . . . . 122--132
Anonymous International Congress of
Mathematicians, Stockholm . . . . . . . 132--136
Ingemar Dahlstrand A Half Year's Experience with the
Facit-Algol 1 Compiler . . . . . . . . . 137--142
Bengt Kredell On Complex Successive Overrelaxation . . 143--152
Heinz-Otto Kreiss Über die Stabilitätsdefinition für
Differenzen gleichungen die partielle
Differentialgleichungen approximieren.
(German) [On the stability definition
for difference equations of partial
differential equation approximations] 153--181
Lars-Olof Sundström Saab 500 --- A Numerical Control System 182--191
Anonymous Algol Programming: Contribution no. 3:
Calculation of complementary Fresnel
integrals . . . . . . . . . . . . . . . 192--194
Sòren Christiansen Algol Programming: Contribution no. 3:
Calculation of complementary Fresnel
integrals . . . . . . . . . . . . . . . 192--194
Anonymous New Books and Journals . . . . . . . . . 195--196
O. Dopping Test Problems Used for Evaluation of
Computers . . . . . . . . . . . . . . . 197--202
L. Eriksson and
O. Lokki and
N. Ryti On Smoothing of Pulp Quality
Characteristics in a Flow System . . . . 203--211
Gene H. Golub Bounds for the Round-Off Errors in the
Richardson Second Order Method . . . . . 212--223
Edgar Karst Search Limits on Divisors of Mersenne
Numbers . . . . . . . . . . . . . . . . 224--227
Mok-Kong Shen On the Generation of Permutations and
Combinations . . . . . . . . . . . . . . 228--231
P. Wynn An Arsenal of ALGOL Procedures for
Complex Arithmetic . . . . . . . . . . . 232--255
Christian Andersen Algol Programming: Contribution no. 4:
Solution of Linear Equations . . . . . . 256--257
Bengt Sigurd New Books and Journals . . . . . . . . . 258--259
Anonymous Notes . . . . . . . . . . . . . . . . . 260--262
Janis A. Bubenko Multiprogrammering --- en orientering.
(Swedish) [Multiprogramming: an
orientation] . . . . . . . . . . . . . . 1--26
Germund G. Dahlquist A Special Stability Problem for Linear
Multistep Methods . . . . . . . . . . . 27--43
Leif Pròhl Hansen and
Bent Scharòe Petersen A Fast Card Reader for the GIER Computer 44--51
Hans Karlgren Representation of Text Strings in Binary
Computers . . . . . . . . . . . . . . . 52--59
Jan Bohman Algol programming: Remark on algorithm
no. 4, LLGAUSS (Chr. Andersen, BIT \bf
2, 4 (1962)) . . . . . . . . . . . . . . 60--60
Anonymous New Books and Journals . . . . . . . . . 61--66
Anonymous Notes . . . . . . . . . . . . . . . . . 67--68
C.-E. Fröberg Erratum: ``Rational Chebyshev
Approximations of Elementary Functions''
[BIT \bf 1(4), 1961, p. 261, line 12] 68--68
I. P. V. Carter Optimization techniques . . . . . . . . 69--92
Ture Hult Presentation of a new High-Speed Paper
Tape Reader . . . . . . . . . . . . . . 93--96
Olov Johansson and
Heinz-Otto Kreiss Über das Verfahren der zentralen
Differenzen zur Lösung des
Cauchy-Problems für partielle
Differentialgleichungen. (German) [On
the method of central differences for
the solution of Cauchy problems for
partial differential equations] . . . . 97--107
Carl-Axel Johansson Requirements Planning of Production
Components and Spare Parts at a Farm
Equipment Manufacturing Company . . . . 108--121
Edgar Karst A Remarkable Quartic yielding certain
Divisors of Mersenne Numbers . . . . . . 122--123
Peter Naur The design of the GIER ALGOL compiler.
Part I . . . . . . . . . . . . . . . . . 124--140
Anonymous Algol Programming: Contribution no. 5:
Computation of the Fermi function . . . 141--142
Carl-Erik Fröberg Algol Programming: Contribution no. 5:
Computation of the Fermi function . . . 141--142
Anonymous New Books and Journals . . . . . . . . . 143--144
Peter Naur The design of the GIER ALGOL compiler.
Part II . . . . . . . . . . . . . . . . 145--166
Bengt Jiewertz Miniatyrisering av
elektronikkomponenter. (Swedish)
[Miniaturization of electronics
components] . . . . . . . . . . . . . . 167--174
P. Wynn Singular Rules for Certain Non-Linear
Algorithms . . . . . . . . . . . . . . . 175--195
Ole R. Hestvik and
Hans J. Levold Prosessdataenhet for GIER. (Norwegian)
[Processing unit for GIER] . . . . . . . 196--203
Peter Naur Algol Programming: Goto statements and
good Algol style . . . . . . . . . . . . 204--208
Anonymous New Books and Journals . . . . . . . . . 209--211
Anonymous Notes . . . . . . . . . . . . . . . . . 211--212
Anonymous Errata . . . . . . . . . . . . . . . . . 212--212
Per-Erik Danielsson Converting a Curve to Right-Angled
Increments . . . . . . . . . . . . . . . 213--221
Edgar Karst List of all Prime Divisors $q = 2Kp+1$
of $2^p-1$, $K < 10$, $p < 15000$ . . . . 222--228
Börje Langefors Some Approaches to the Theory of
Information Systems . . . . . . . . . . 229--254
Hans Riesel In which Order are Different Conditions
to be examined? . . . . . . . . . . . . 255--256
T. Vahl Olsen Analysis of Elastic Structures on
Digital Computers . . . . . . . . . . . 257--272
Anonymous New books and journals . . . . . . . . . 273--274
Anonymous Notes . . . . . . . . . . . . . . . . . 275--275
Klaus Appel A Compiler for the Alwac--Wegematic
Computer . . . . . . . . . . . . . . . . 1--5
Birger Jansson Autocorrelations between Pseudo-Random
Numbers . . . . . . . . . . . . . . . . 6--27
Edgar Karst Some New Divisors of Mersenne Numbers 28--29
N. Lindecrantz Method for Optimum Cutting of
Rectangular Sheets . . . . . . . . . . . 30--35
Gustav Tollet A Labelling and Look-up System for
Handling Variable Format Records . . . . 36--45
Lars Östlund Information Retrieval . . . . . . . . . 46--53
Christian Gram Algol Programming: Contribution no. 8:
Definite Integrals by Romberg's Method 54--60
Anonymous Problems . . . . . . . . . . . . . . . . 61--64
Anonymous New Books and Journals . . . . . . . . . 65--68
Anonymous Notes . . . . . . . . . . . . . . . . . 68--68
Owe Axelsson Global Integration of Differential
Equations through Lobatto Quadrature . . 69--86
Bengt-Erik Bengtsson and
Stig Nordbeck Construction of isarithms and isarithmic
maps by computers . . . . . . . . . . . 87--105
J. Berghuis and
A. J. van der Heiden and
R. Bakker The Preparation of School Time Tables by
Electronic Computer . . . . . . . . . . 106--114
Peter Naur Using Machine-Code within an ALGOL
System . . . . . . . . . . . . . . . . . 115--117
Christian Gram Algol Programming: Note on ``Definite
Integral by Romberg's Method'' [BIT \bf
4(1), 1964, pp. 54--60] . . . . . . . . 118--119
Peter Naur Algol Programming: Contribution no. 9:
Eigenvalues and eigenvectors of real
symmetric matrices . . . . . . . . . . . 120--130
Anonymous Problems . . . . . . . . . . . . . . . . 131--133
Anonymous New Books and Journals . . . . . . . . . 134--134
Anonymous Notes: The GIER ALGOL III Compiler . . . 135--136
Jan v. Garwick Data Storage in Compilers . . . . . . . 137--140
I. H. Gould and
G. C. Tootill The Terminology Work of IFIP and ICC . . 141--155
Christian Gram On the Representation of Zero in
Floating-Point Arithmetic . . . . . . . 156--161
Börje Langefors ALGOL-GENIUS, a Programming Language for
General Data Processing . . . . . . . . 162--176
Peter Naur Automatic Grading of Students' ALGOL
Programming . . . . . . . . . . . . . . 177--188
Harold Josefsen Algol Programming: Contribution no. 10:
Linear programming by the modified
simplex method . . . . . . . . . . . . . 189--196
Anonymous Problems . . . . . . . . . . . . . . . . 197--201
Anonymous New Books and Journals . . . . . . . . . 202--203
Anonymous Erratum . . . . . . . . . . . . . . . . 204--204
Anonymous Notes: International seminar on
automatic data processing (ADP) for top
management in public administration . . 204--204
Peter Naur Erratum: ``Algol Programming:
Contribution no. 9: Eigenvalues and
eigenvectors of real symmetric
matrices'' [BIT \bf 4(2), 1964, p. 127] 204--204
Birger Jansson Generation of Random Bivariate Normal
Deviates and Computation of Related
Integrals . . . . . . . . . . . . . . . 205--212
Even Mehlum A Curve-fitting Method Based on a
Variational Criterion . . . . . . . . . 213--223
Harry v. Nordén and
Ilari Seppä A Problem on Heat Conduction in a Wire
Enclosed by a Cylindrical Material
Solved by Numerical Inverse Laplace
Transform . . . . . . . . . . . . . . . 224--242
Mok-Kong Shen On Checking the Goldbach Conjecture . . 243--245
Lars-Erik Thorelli Hjärnan, Datamaskinen och Matematiken.
(Swedish) [The brain, computers, and
mathematics] . . . . . . . . . . . . . . 246--249
Anonymous Algol programming . . . . . . . . . . . 250--260
Anonymous Problems . . . . . . . . . . . . . . . . 261--265
Anonymous Notes . . . . . . . . . . . . . . . . . 266--267
Germund Dahlquist and
Sven-Åke Gustafson and
Károly Siklósi Convergence Acceleration from the Point
of View of Linear Programming . . . . . 1--16
Eero Kostamo The Contents of ADP System Work in
Administrative ADP Applications . . . . 17--24
J. J. Laurikainen On the Influence of Coordinate
Transformations on the Lagrangian
Polynomial and its Evaluation in Curve
Representation . . . . . . . . . . . . . 25--36
Ole Mòller Quasi Double-Precision in Floating Point
Addition . . . . . . . . . . . . . . . . 37--50
E. Stiefel Neuere numerische Methoden in der
Himmelsmechanik. (German) [Newer
numerical methods in celestial
mechanics] . . . . . . . . . . . . . . . 51--60
J. Zachariassen Algol Programming: Contribution no. 12:
Solution of systems of linear equations
by Gaussian elimination . . . . . . . . 61--67
Anonymous Notes . . . . . . . . . . . . . . . . . 67--67
Anonymous Problems . . . . . . . . . . . . . . . . 68--72
O. Dopping Suggestion for Teaching of
Administrative Data Processing at
Swedish Universities . . . . . . . . . . 73--84
F. G. Duncan Possibilities for Refining an Object
Program Compiled with an ALGOL
Translator . . . . . . . . . . . . . . . 85--95
Börje Langefors Information System Design Computations
Using Generalized Matrix Algebra . . . . 96--121
K. J. Overholt Extended Aitken Acceleration . . . . . . 122--132
Lars Erik Thorelli Algol Programming: Contribution no. 13:
Evaluation of a function expression
described by a numerical vector . . . . 133--141
B. Markman The Riemann Zeta Function . . . . . . . 138--141
Anonymous Problems . . . . . . . . . . . . . . . . 142--146
Anonymous New Books and Journals . . . . . . . . . 147--147
Anonymous Notes . . . . . . . . . . . . . . . . . 148--150
Peter Naur Checking of Operand Types in ALGOL
Compilers . . . . . . . . . . . . . . . 151--163
Manfred Reimer An Integration Procedure Including Error
Estimation . . . . . . . . . . . . . . . 164--174
Lars-Erik Thorelli Finite Synchronous Automata . . . . . . 175--202
P. V. Villumsen On the Solution of Normal Equations
$p_1$ . . . . . . . . . . . . . . . . . 203--210
O. Ditlevsen A Remark on the Lagrangian Remainder in
Taylor's Formula . . . . . . . . . . . . 211--213
Anonymous Problems . . . . . . . . . . . . . . . . 214--218
Anonymous New Books and Journals . . . . . . . . . 219--219
Jan Ole Aasen and
Werner Romberg Eine Lösungsmethode für Eigenwertprobleme.
(German) [A solution method for
eigenvalue problems] . . . . . . . . . . 221--229
Carl-Erik Fröberg On Triangularization of Complex Matrices
by Two-Dimensional Unitary
Transformations . . . . . . . . . . . . 230--234
Jòrn Jensen Generation of Machine Code in ALGOL
Compilers . . . . . . . . . . . . . . . 235--245
Donald E. Knuth Construction of a Random Sequence . . . 246--250
Ole Mòller Note on Quasi Double-Precision . . . . . 251--255
Poul Sveistrup The Systems Concept and the Enterprise
as a System . . . . . . . . . . . . . . 256--275
W. P. Timlake On an Algorithm of Milne and Reynolds 276--281
Olle Dopping Optimum Printout Policy for Visual
Reference Files . . . . . . . . . . . . 282--286
K. J. Overholt An Instability in the Fibonacci and
Golden Section Search Methods . . . . . 284--286
S. Christiansen Algol programming: Error Integral with
Complex Argument . . . . . . . . . . . . 287--293
Anonymous Problems . . . . . . . . . . . . . . . . 294--296
Anonymous New books and journals . . . . . . . . . 297--299
Anonymous Post-secondary ADP education in Sweden 300--307
Per Brinch Hansen and
Roger House The COBOL Compiler for the Siemens 3003 1--23
T. Håvie On a Modification of Romberg's Algorithm 24--30
Martti Järveläinen and
Harry V. Nordén A Problem on Heat Conduction in an
Insulated Wire Solved by Numerical
Inverse Laplace Transform . . . . . . . 31--47
Brian H. Mayoh On the Second Goldbach Conjecture . . . 48--50
M. R. Osborne On Nordsieck's Method for the Numerical
Solution of Ordinary Differential
Equations . . . . . . . . . . . . . . . 51--57
Joseph Weizenbaum On-Line User Languages . . . . . . . . . 58--65
A. van Wijngaarden Numerical Analysis as an Independent
Science . . . . . . . . . . . . . . . . 66--81
Bengt Asker Algol Programming: Certification of
contribution no. 10: LPMODSIMPLEX [BIT
\bf 4(3), 1964, pp. 189--196] . . . . . 82--82
Anonymous Problems . . . . . . . . . . . . . . . . 83--84
Anonymous New Books and Journals . . . . . . . . . 85--86
Anonymous Notes . . . . . . . . . . . . . . . . . 87--88
S.-E. Andersson A Monte Carlo Model for Simulation of
Tank Battles . . . . . . . . . . . . . . 89--100
Jan V. Garwick The Summation of Some Series with
Variable Coefficients by Approximate
Analytical Expressions . . . . . . . . . 101--116
Sven-Åke Gustafson Convergence Acceleration by Means of
Numerical Quadrature . . . . . . . . . . 117--128
Th. Lunde Johnsen Efficiency of the Polyphase Merge and a
Related Method . . . . . . . . . . . . . 129--143
H. V. Nordén and
I. Seppä On Transient Heat Conduction in the
Walls of a Rectangular Gas Channel . . . 144--154
J. Palme SOFT --- Simple Output Format Translator 155--157
E. S. Selmer On Newton's Equations for the Power Sums 158--160
Torsten Ström An Inductive Proof of the Fundamental
Theorem of Games . . . . . . . . . . . . 161--163
Bj. Svejgaard Algol Programming: Contribution no. 17:
List Processing . . . . . . . . . . . . 164--175
Anonymous Problems . . . . . . . . . . . . . . . . 176--179
Anonymous New Books and Journals . . . . . . . . . 180--180
J. T. Day Quadrature Methods of Arbitrary Order
for Solving Linear Ordinary Differential
Equations . . . . . . . . . . . . . . . 181--190
Carl-Erik Fröberg Numerical Studies of the Möbius Power
Series . . . . . . . . . . . . . . . . . 191--211
Yrjö Seppälä On Optimization of the Maintenance of a
Register . . . . . . . . . . . . . . . . 212--227
P. Wynn On the Computation of Certain Functions
of Large Argument and Parameter . . . . 228--259
Bo Hellgren Algol Programming: Contribution no. 18:
Procedures for simplifying Boolean
expressions . . . . . . . . . . . . . . 260--269
Anonymous Problems . . . . . . . . . . . . . . . . 270--272
Anonymous New Books and Journals . . . . . . . . . 273--273
Anonymous Notes . . . . . . . . . . . . . . . . . 274--276
J. M. Glass Smooth-Curve Interpolation: a
Generalized Spline-Fit Procedure . . . . 277--293
Peter Johansen Construction of Recognition Devices for
Regular Languages from their Backus
Normal Form Definition . . . . . . . . . 294--309
Peter Naur Proof of Algorithms by General Snapshots 310--316
Harry V. Nordén and
Ilari Seppä Cooling of a Cylindrical Container
Blasted into the Rock . . . . . . . . . 317--331
M. Tienari and
V. Suokonautio A Set of Procedures Making Real
Arithmetic of Unlimited Accuracy
Possible Within Algol 60 . . . . . . . . 332--338
A. Törn Crude Monte Carlo Quadrature in Infinite
Variance Case and the Central Limit
Theorem . . . . . . . . . . . . . . . . 339--346
Lars-Erik E. Thorelli An Algorithm for Computing All Paths in
a Graph . . . . . . . . . . . . . . . . 347--349
Axel Ruhe Algol programming: Eigenvalues of a
complex matrix by the $QR$-method . . . 350--358
Anonymous Problems . . . . . . . . . . . . . . . . 359--361
Anonymous New books and journals . . . . . . . . . 362--365
Anonymous Notes . . . . . . . . . . . . . . . . . 366--366
Åke Björck Solving Linear Least Squares Problems by
Gram--Schmidt Orthogonalization . . . . 1--21
Jacques Cohen and
Laurent Trilling Remarks on `Garbage Collection' Using a
Two-Level Storage . . . . . . . . . . . 22--30
A. R. Gourlay and
A. R. Mitchell Intermediate Boundary Corrections for
Split Operator Methods in Three
Dimensions . . . . . . . . . . . . . . . 31--38
Stig Nordbeck and
Bengt Rystedt Computer Cartography Point-In-Polygon
Programs . . . . . . . . . . . . . . . . 39--64
O. B. Widlund A Note on Unconditionally Stable Linear
Multistep Methods . . . . . . . . . . . 65--70
J. T. Day On the Numerical Solution of Linear
Volterra Integral Equations . . . . . . 71--72
W. James and
P. Jarratt A Note on Optimum Ranges for the
Generation of $\sin$ and $\cos$ on a
Digital Computer . . . . . . . . . . . . 73--75
Hans Riesel A Continued Fraction Algorithm . . . . . 76--80
Anonymous Problems . . . . . . . . . . . . . . . . 81--83
Anonymous New Books and Journals . . . . . . . . . 84--86
Anonymous Notes: IFIP Congress 68 . . . . . . . . 87--90
L. Gunnarsson Program for Simulation of Relay Networks 91--95
H. B. Hansen and
Alan Wessel Subroutinized Tape Sorting . . . . . . . 96--102
T. Håvie On the Practical Application of the
Modified Romberg Algorithm . . . . . . . 103--113
Edgar Karst Tables on Fifth Power Residuacity . . . 114--122
Peter Naur Machine Dependent Programming in Common
Languages . . . . . . . . . . . . . . . 123--131
Stig Nord Approximation Properties of the Spline
Fit . . . . . . . . . . . . . . . . . . 132--144
Harry v. Nordén and
Ilari Seppä Seasonal Temperature Variation of Soil 145--155
Diran Sarafyan and
Robert Brown Computer Derivation of Algebraic
Equations Associated with Runge--Kutta
Formulas . . . . . . . . . . . . . . . . 156--162
Carl-Erik Fröberg and
Arne Sundström Algol Programming: Contribution no. 20:
Smith's normal form . . . . . . . . . . 163--169
Anonymous Problems . . . . . . . . . . . . . . . . 170--173
Anonymous New Books and Journals . . . . . . . . . 174--174
G. M. Birtwistle and
D. J. Evans On the Generalisation of Bairstow's
Method . . . . . . . . . . . . . . . . . 175--190
Per Brinch Hansen The logical structure of the RC 4000
computer . . . . . . . . . . . . . . . . 191--199
D. B. Hunter Romberg's Method for Certain Integrals
Involving a Singularity . . . . . . . . 200--205
Yrjö Seppälä Definition of Extraction Files and their
Optimization by Zero-One Programming . . 206--215
Sverre Storòy Error Control in the Simplex-Technique 216--225
R. P. Tewarson Solution of a System of Simultaneous
Linear Equations with a Sparse
Coefficient Matrix by Elimination
Methods . . . . . . . . . . . . . . . . 226--239
Bj. Svejgaard Algol Programming: Contribution no. 21:
Zeros of Polynomials . . . . . . . . . . 240--246
Anonymous Problems . . . . . . . . . . . . . . . . 247--249
H. B. Hansen and
Aage Melbye New Books and Journals . . . . . . . . . 250--254
Anonymous Notes . . . . . . . . . . . . . . . . . 255--256
Anonymous Convergence acceleration from the point
of view of linear programming . . . . . 256--256
Åke Björck Iterative Refinement of Linear Least
Squares Solutions I . . . . . . . . . . 257--278
Per Brinch Hansen The RC 4000 Real-Time Control System at
Pulawy . . . . . . . . . . . . . . . . . 279--288
Peter Johansen Non-Deterministic Programming . . . . . 289--304
Axel Ruhe On the Quadratic Convergence of the
Jacobi Method for Normal Matrices . . . 305--313
Torsten Ström Strict Error Bounds in Romberg
Quadrature . . . . . . . . . . . . . . . 314--321
Åke Björck and
Gene H. Golub Algol programming: Iterative Refinement
of Linear Least Squares Solutions by
Householder Transformation . . . . . . . 322--337
Anonymous Problems . . . . . . . . . . . . . . . . 338--340
Anonymous New books and journals . . . . . . . . . 341--344
Anonymous Notes . . . . . . . . . . . . . . . . . 345--345
H. D. Abramson Partial Ordering of the Syntax Elements
of a Language . . . . . . . . . . . . . 1--7
Åke Björck Iterative Refinement of Linear Least
Squares Solutions II . . . . . . . . . . 8--30
P. Jarratt A Numerical Method for Determining
Points of Inflexion . . . . . . . . . . 31--35
Peter Naur Features of the GIER ALGOL 4 System . . 36--42
John C. O'Neill and
George D. Byrne A Starting Method for the Numerical
Solution of Volterra's Integral Equation
of the Second Kind . . . . . . . . . . . 43--47
Eero Paananen Two Queues in Tandem . . . . . . . . . . 48--52
R. P. Tewarson Solution of Linear Equations with
Coefficient Matrix in Band Form . . . . 53--58
Anonymous Problems . . . . . . . . . . . . . . . . 59--61
Anonymous New Books and Journals . . . . . . . . . 62--66
Anonymous Notes: NordDATA-68; NEUCC Summer School
1968; 4th Yugoslav Symposium on
Information Processing . . . . . . . . . 67--68
T. Alanko and
S. Mustonen and
M. Tienari A Statistical Programming Language SURVO
66 . . . . . . . . . . . . . . . . . . . 69--85
J. C. Falkenberg A Method for Integration of Unstable
Systems of Ordinary Differential
Equations Subject to Two-Point Boundary
Conditions . . . . . . . . . . . . . . . 86--103
Eric Foxley Programming Problems in Mathematical
Logic . . . . . . . . . . . . . . . . . 104--121
Sven Ingvar Jönsson On-line Program Debugging . . . . . . . 122--127
B. H. Mayoh The Second Goldbach Conjecture Revisited 128--133
J. T. Day On the Numerical Solution of Volterra
Integral Equations . . . . . . . . . . . 134--137
Anonymous Problems . . . . . . . . . . . . . . . . 138--141
Anonymous New Books and Journals . . . . . . . . . 142--146
Anonymous Erratum . . . . . . . . . . . . . . . . 145--145
Harry Björk Decision Tables in ALGOL 60 . . . . . . 147--153
J. H. Bramble and
R. B. Kellogg and
V. Thomée On the rate of convergence of some
difference schemes for second order
elliptic equations . . . . . . . . . . . 154--173
E. W. Dijkstra A Constructive Approach to the Problem
of Program Correctness . . . . . . . . . 174--186
Carl-Erik Fröberg On the Prime Zeta Function . . . . . . . 187--202
Jacob Palme A Comparison between Simula and Fortran 203--209
Axel Ruhe On the Quadratic Convergence of a
Generalization of the Jacobi Method to
Arbitrary Matrices . . . . . . . . . . . 210--231
R. P. Tewarson On the Chebyshev Solution of
Inconsistent Linear Equations . . . . . 232--242
Tore Isacson Asymptotic Expansion of Coulomb Wave
Functions on the Transition Line . . . . 243--245
Anonymous Problems . . . . . . . . . . . . . . . . 246--249
Anonymous New Books and Journals . . . . . . . . . 250--251
Anonymous Notes . . . . . . . . . . . . . . . . . 251--252
Anonymous Notes: FILE-68: Conference on the
Numerical Solution of Differential
Equations . . . . . . . . . . . . . . . 252--252
H. D. Abramson The Applicability Matrix of a
Syntax-Directed Parsing Processor . . . 253--261
Bálint Dömölki A Universal Compiler System Based on
Production Rules . . . . . . . . . . . . 262--275
Byron L. Ehle High Order $A$-Stable Methods for the
Numerical Solution of Systems of D.E.'s 276--278
Bo Einarsson Numerical Calculation of Fourier
Integrals with Cubic Splines . . . . . . 279--286
Donald Greenspan Numerical Solution of a Class of
Nonsteady Cavity Flow Problems . . . . . 287--294
Martti Järveläinen and
Harry V. Nordén A Theoretical Study of Filter Cake
Washing . . . . . . . . . . . . . . . . 295--309
Yrjö Seppälä Translating Statements of Symbolic Logic
into Zero-One Linear Programming . . . . 310--327
L. Wittmeyer-Koch A Method of Descent for Chebyshev
Approximation . . . . . . . . . . . . . 328--342
Anonymous Problems . . . . . . . . . . . . . . . . 343--346
Anonymous New books and journals . . . . . . . . . 347--348
Anonymous Notes . . . . . . . . . . . . . . . . . 349--350
G. W. Hedström The Rate of Convergence of Parabolic
Difference Schemes with Constant
Coefficients . . . . . . . . . . . . . . 1--17
T. Håvie Derivation of Explicit Expressions for
the Error Terms in the Ordinary and the
Modified Romberg Algorithms . . . . . . 18--29
F. M. Larkin Estimation of a Non-Negative Function 30--52
Axel Ruhe The Norm of a Matrix after a Similarity
Transformation . . . . . . . . . . . . . 53--58
D. Wood A Proof of Hamblin's Algorithm for
Translation of Arithmetic Expressions
from Infix to Postfix Form . . . . . . . 59--68
C. H. Woodford Smooth Curve Interpolation . . . . . . . 69--77
Anders Beckman and
Bengt Fornberg and
Arne Tengvald A Method for Acceleration of the
Convergence of Infinite Series . . . . . 78--80
J. T. Day Numerical Solution of the Convolution
Integral Equation . . . . . . . . . . . 81--82
K. J. Overholt Algol Programming: Partition Functions
(modulo $d$) . . . . . . . . . . . . . . 83--86
Anonymous Problems . . . . . . . . . . . . . . . . 87--90
Carl-Erik Fröberg and
Peter Naur New Books and Journals . . . . . . . . . 91--93
Anonymous Notes . . . . . . . . . . . . . . . . . 94--96
R. M. Baer and
O. Òsterby Algorithms over Partially Ordered Sets 97--118
P. Jarratt Some Efficient Fourth Order Multipoint
Methods for Solving Equations . . . . . 119--124
Edgar Karst Unique Representation of Primitive
Factors of $2^n-1$. $n$ odd, in Certain
Quadratic Forms . . . . . . . . . . . . 125--132
Jakob Krarup A Branch-Bound Algorithm for a Wiring
Problem . . . . . . . . . . . . . . . . 133--156
Stig Nordbeck and
Bengt Rystedt Computer Cartography --- Range Map . . . 157--166
R. P. Tewarson and
B. Ramnath Some Comments on the Solution of Linear
Equations . . . . . . . . . . . . . . . 167--173
Anonymous Problems . . . . . . . . . . . . . . . . 174--177
Ole Johan Dahl and
Helge Bratt New Books and Journals . . . . . . . . . 178--182
Anonymous Notes . . . . . . . . . . . . . . . . . 183--184
B. Einarsson Erratum . . . . . . . . . . . . . . . . 183--184
Owe Axelsson A Class of $A$-stable Methods . . . . . 185--199
Jo Ann Howell and
Robert T. Gregory An Algorithm for Solving Linear
Algebraic Equations Using Residue
Arithmetic I . . . . . . . . . . . . . . 200--224
R. Kurki-Suonio Notes on Top-down Languages . . . . . . 225--238
Tom Lyche A note on correctors with an arbitrary
number of nonstep points . . . . . . . . 239--249
Peter Naur Programming by Action Clusters . . . . . 250--258
Syvert P. Nòrsett A Criterion for $A(\alpha)$-Stability of
Linear Multistep Methods . . . . . . . . 259--263
Hans Riesel Common Prime Factors of the Numbers $A_n
= a^{2^n} + 1$ . . . . . . . . . . . . . 264--269
P. L. Wodon Data Structure and Storage Allocation 270--282
Bo Hellgren Algol Programming: Contribution no. 24:
Algorithms for the interpolation of a
function defined by a character string 283--293
Anonymous Problems . . . . . . . . . . . . . . . . 294--296
Anonymous New Books and Journals . . . . . . . . . 297--298
Anonymous Notes . . . . . . . . . . . . . . . . . 298--300
Vishnu K. Agrawala and
Johan G. Belinfante Weight Diagrams for Lie Group
Representations: A Computer
Implementation of Freudenthal's
Algorithm in ALGOL and FORTRAN . . . . . 301--314
Apostolos Hadjidimos A New Explicit Three-Level Difference
Scheme for the Solution of the Heat Flow
Equation . . . . . . . . . . . . . . . . 315--323
Jo Ann Howell and
Robert T. Gregory An Algorithm for Solving Linear
Algebraic Equations Using Residue
Arithmetic II . . . . . . . . . . . . . 324--337
T. Håvie On a Modification of the
Clenshaw--Curtis Quadrature Formula . . 338--350
Robert Piessens New Quadrature Formulas for the
Numerical Inversion of the Laplace
Transform . . . . . . . . . . . . . . . 351--361
Niklaus Wirth A Basic Course on Compiler Principles 362--386
D. Wood A Note on Top-Down Deterministic
Languages . . . . . . . . . . . . . . . 387--399
Anonymous Problems . . . . . . . . . . . . . . . . 400--403
Lars Hörnström and
Karl Erik Karlsson New Books and Journals . . . . . . . . . 404--407
Anonymous Acknowledgements . . . . . . . . . . . . 407--407
H. D. Abramson A Note on Left-Recursive Rules and the
Partitioning of a Recognition Matrix for
Syntax-Directed Translation . . . . . . 1--5
H. D. Abramson A Partial Ordering of Some of the
Elements of Algol . . . . . . . . . . . 6--9
G. M. Campbell and
J. T. Day The Numerical Solution of Nonlinear
Volterra Integral Equations . . . . . . 10--19
C. W. Gear Rational Approximations by Implicit
Runge--Kutta Schemes . . . . . . . . . . 20--22
Jo Ann Howell and
Robert T. Gregory Solving Linear Equations Using Residue
Arithmetic --- Algorithm II . . . . . . 23--37
K. S. Kölbig and
J. A. Mignaco and
E. Remiddi On Nielsen's Generalized Polylogarithms
and their Numerical Calculation . . . . 38--73
Svein Mossige Generation of Permutations in
Lexicographical Order . . . . . . . . . 74--75
Paul Purdom A Transitive Closure Algorithm . . . . . 76--94
Yrjö Seppälä Criterion Function for Accessibility,
Uncertainty Problems in Regional
Land-Use Planning . . . . . . . . . . . 95--105
D. B. Hunter ALGOL programming: Analysis of the Outer
Product of Symmetric Group
Representations . . . . . . . . . . . . 106--114
Anonymous Problems . . . . . . . . . . . . . . . . 115--117
Anonymous New Books and Journals . . . . . . . . . 117--117
Anonymous Notes . . . . . . . . . . . . . . . . . 117--123
Anonymous New books and journals . . . . . . . . . 118--118
Anonymous Notes . . . . . . . . . . . . . . . . . 118--123
Dines Bjòrner A Flow-Mode, Self-Steering, Cellular
Multiplier-Summation Processor . . . . . 125--144
M. M. Chawla Hilbert Spaces for Estimating Errors of
Quadratures for Analytic Functions . . . 145--155
P. E. Danielsson Three-Dimensional Electronic Display . . 156--167
Ralph L. London Proving Programs Correct: Some
Techniques and Examples . . . . . . . . 168--182
C. C. Paige Practical Use of the Symmetric Lánczos
Process with Re-Orthogonalization . . . 183--195
Axel Ruhe An Algorithm for Numerical Determination
of the Structure of a General Matrix . . 196--216
K. Wright Some Relationships between Implicit
Runge--Kutta, Collocation and Lánczos
$\tau$ Methods, and their Stability
Properties . . . . . . . . . . . . . . . 217--227
Anonymous Problems . . . . . . . . . . . . . . . . 228--231
Matts Apelkrans New Books and Journals . . . . . . . . . 232--234
Anonymous Notes . . . . . . . . . . . . . . . . . 235--235
Anonymous Contents . . . . . . . . . . . . . . . . 236--236
Harald Bohman A Method to Calculate the Distribution
Function when the Characteristic
Function is Known . . . . . . . . . . . 237--242
M. M. Chawla Approximation by Non-Negative Algebraic
Polynomials . . . . . . . . . . . . . . 243--248
James R. Clay Research in Near-Ring Theory Using a
Digital Computer . . . . . . . . . . . . 249--265
Bengt Hakberg Uniformly Maximumnorm Stable Difference
Schemes . . . . . . . . . . . . . . . . 266--276
T. Håvie Some Algorithms for Numerical Quadrature
Using the Derivatives of the Integrand
in the Integration Interval . . . . . . 277--294
D. G. McVitie and
L. B. Wilson Stable Marriage Assignment for Unequal
Sets . . . . . . . . . . . . . . . . . . 295--309
E. L. Murphree, Jr. and
S. J. Fenves A Technique for Generating Interpretive
Translators for Problem-Oriented
Languages . . . . . . . . . . . . . . . 310--323
G. M. Phillips and
P. J. Taylor Approximation of convex data . . . . . . 324--332
Hans Riesel Primes Forming Arithmetic Series and
Clusters of Large Primes . . . . . . . . 333--342
Axel Ruhe Perturbation Bounds for Means of
Eigenvalues and Invariant Subspaces . . 343--354
Martti Tienari A Statistical Model of Roundoff Error
for Varying Length Floating-Point
Arithmetic . . . . . . . . . . . . . . . 355--365
J. R. Whiteman and
J. C. Webb Convergence of Finite-Difference
Techniques for a Harmonic Mixed Boundary
Value Problem . . . . . . . . . . . . . 366--374
Apostolos Hadjidimos A Note on a Difference Scheme for the
Solution of the Heat Equation . . . . . 375--375
P. Businger Algol programming: Updating a Singular
Value Decomposition . . . . . . . . . . 376--385
B. Parlett and
J. K. Reid On the Solution of a System of Linear
Equations whose Matrix is Symmetric but
not Definite . . . . . . . . . . . . . . 386--397
Anonymous Problems . . . . . . . . . . . . . . . . 398--399
Anonymous New Books and Journals . . . . . . . . . 400--401
Anonymous Notes . . . . . . . . . . . . . . . . . 402--403
K. S. Kölbig and
J. A. Mignaco and
E. Remiddi Erratum: ``On Nielsen's Generalized
Polylogarithms and their Numerical
Calculation'' [BIT \bf 10(1), 1970, p.
59] . . . . . . . . . . . . . . . . . . 403--403
Anonymous Contents . . . . . . . . . . . . . . . . 404--404
H. D. Baecker Implementing the ALGOL 68 Heap . . . . . 405--414
Dines Bjòrner Flowchart Machines . . . . . . . . . . . 415--442
E. G. Coffman and
J. Bruno On File Structuring for Non-Uniform
Access Frequencies . . . . . . . . . . . 443--456
Ruben Espinosa-Maldonado and
George D. Byrne Solution of Linear Integral Equations by
Gregory's Method . . . . . . . . . . . . 457--464
Apostolos Hadjidimos Extrapolated Alternating Direction
Implicit Iterative Methods . . . . . . . 465--475
Robert Piessens Numerical Evaluation of Cauchy Principal
Values of Integrals . . . . . . . . . . 476--480
R. G. Stoneham On a New Class of Multiplicative
Pseudo-Random Number Generators . . . . 481--500
C. H. Woodford An Algorithm for Data Smoothing Using
Spline Functions . . . . . . . . . . . . 501--510
J. T. Day On the Numerical Solution of
Integro-Differential Equations . . . . . 511--514
Anonymous Problems . . . . . . . . . . . . . . . . 515--517
Inge Persson and
P. E. Danielsson New Books and Journals . . . . . . . . . 518--520
Anonymous Notes . . . . . . . . . . . . . . . . . 521--523
Anonymous Acknowledgements . . . . . . . . . . . . 524--524
Anonymous Index . . . . . . . . . . . . . . . . . 525--526
Vishnu K. Agrawala and
Johan G. Belinfante An Algorithm for Computing ${\rm SU}(n)$
Invariants . . . . . . . . . . . . . . . 1--15
Harry Björk A Bi-Unique Transformation Into Integers
of Identifiers and Other Variable Length
Items . . . . . . . . . . . . . . . . . 16--20
K. S. Kölbig On the Value of a
Logarithmic-Trigonometric Integral . . . 21--28
Bengt Lindberg On Smoothing and Extrapolation for the
Trapezoidal Rule . . . . . . . . . . . . 29--52
Seymour V. Parter and
Víctor Pereyra Nonlinear Two-Point Boundary Value
Problems with Multiple Solutions . . . . 53--83
Victor Schneider On the Number of Registers Needed to
Evaluate Arithmetic Expressions . . . . 84--93
Kenneth Steiglitz and
John Bruno A New Derivation of Frisch's Algorithm
for Calculating Vertex-Pair Connectivity 94--106
Y. Sundblad The Ackermann Function. A Theoretical,
Computational, and Formula Manipulative
Study . . . . . . . . . . . . . . . . . 107--119
G. M. Campbell and
J. T. Day A Block by Block Method for the
Numerical Solution of Volterra Integral
Equations . . . . . . . . . . . . . . . 120--124
Anonymous Problems . . . . . . . . . . . . . . . . 125--126
Anonymous New Books and Journals . . . . . . . . . 127--128
Anonymous Notes . . . . . . . . . . . . . . . . . 129--131
Anonymous Contents . . . . . . . . . . . . . . . . 132--132
H. Bohman On the Maximum Deviation in Random Walks 133--138
W. Robert Boland and
C. S. Duris Product Type Quadrature Formulas . . . . 139--158
M. M. Chawla Convergence of Newton--Cotes Quadratures
for Analytic Functions . . . . . . . . . 159--167
M. Powell and
P. Jarratt A Modified \em Regula Falsi Method for
Computing the Root of an Equation . . . 168--174
D. B. Hunter The Evaluation of Integrals of Periodic
Analytic Functions . . . . . . . . . . . 175--180
G. M. Phillips An Error Estimate for Volterra Integral
Equations . . . . . . . . . . . . . . . 181--186
P. W. Purdom and
S. M. Stigler and
Tat-Ong Cheam Statistical Investigation of Three
Storage Allocation Algorithms . . . . . 187--195
Torsten Ström An Inclusion Formula for Derivatives . . 196--198
Torsten Ström Strict Estimation of the Maximum of a
Function of one Variable . . . . . . . . 199--211
P. G. Terzi On a Conjecture by Erd\Hos--Straus . . . 212--216
M. C. Wunderlich The Use of Bit and Byte Manipulation in
Computing Summation Sequences . . . . . 217--224
Anonymous Problems . . . . . . . . . . . . . . . . 225--227
Anonymous New Books and Journals . . . . . . . . . 228--230
Anonymous Notes . . . . . . . . . . . . . . . . . 231--231
Anonymous Contents . . . . . . . . . . . . . . . . 232--232
Jan Ole Aasen On the Reduction of a Symmetric Matrix
to Tridiagonal Form . . . . . . . . . . 233--242
H. D. Abramson A Program for Computing Identity-Kernels
from Certain Directed Graphs . . . . . . 243--253
E. Amble A Cosmo--Simula Program for a Simple
Air-Pollution Model . . . . . . . . . . 254--261
P. A. Businger Numerically Stable Deflation of
Hessenberg and Symmetric Tridiagonal
Matrices . . . . . . . . . . . . . . . . 262--270
Ole Caprani Implementation of a Low Round-Off
Summation Method . . . . . . . . . . . . 271--275
Sòren Christiansen Numerical Solution of an Integral
Equation with a Logarithmic Kernel . . . 276--287
T. Håvie On the Use of Trigonometric
Approximations in Extrapolation Methods 288--298
N. S. Kambo Error Bounds for the Clenshaw--Curtis
Quadrature Formulas . . . . . . . . . . 299--309
Mark I. Krusemeyer Determining Multiplicities of Dominant
Weights in Irreducible Lie Algebra
Representations Using a Computer . . . . 310--316
R. Piessens and
F. Poleunis A Numerical Method for the Integration
of Oscillatory Functions . . . . . . . . 317--327
N. F. Stewart A Heuristic to Reduce the Wrapping
Effect in the Numerical Solution of
$z'=f(t,x)$ . . . . . . . . . . . . . . 328--337
Anonymous Problems . . . . . . . . . . . . . . . . 338--339
Anonymous New Books and Journals . . . . . . . . . 340--341
Anonymous Notes . . . . . . . . . . . . . . . . . 341--343
Anonymous Contents . . . . . . . . . . . . . . . . 344--344
Nabih N. Abdelmalek Round-off Error Analysis for
Gram--Schmidt Method and Solution of
Linear Least Squares Problems . . . . . 345--367
P. C. Chakravarti and
P. B. Worland A Class of Self-Starting Methods for the
Numerical Solution of $y''=f(z,y)$ . . . 368--383
F. H. Chipman $A$-Stable Runge--Kutta Processes . . . 384--388
Carl-Erik E. Fröberg On Sums and Products of Quadratic
Residues . . . . . . . . . . . . . . . . 389--398
Donald Greenspan Computer Simulation of Transverse String
Vibrations . . . . . . . . . . . . . . . 399--408
Richard F. King A Fifth-Order Family of Modified Newton
Methods . . . . . . . . . . . . . . . . 409--412
Peter Linz Product Integration Methods for Volterra
Integral Equations of the First Kind . . 413--421
Webb Miller A Note on the Instability of Gaussian
Elimination . . . . . . . . . . . . . . 422--424
A. Wang and
O. J. Dahl Coroutine Sequencing in a Block
Structured Environment . . . . . . . . . 425--449
J. T. Day On the Numerical Solution of the Goursat
Problem . . . . . . . . . . . . . . . . 450--454
Anonymous Problems . . . . . . . . . . . . . . . . 455--457
Mats-Åke Hugoson New Books and Journals . . . . . . . . . 458--459
V. Schneider Erratum: ``On the Number of Registers
Needed to Evaluate Arithmetic
Expressions'' [BIT \bf 11(1), 1971, pp.
87, 92] . . . . . . . . . . . . . . . . 460--460
Anonymous Acknowledgements . . . . . . . . . . . . 461--461
Anonymous Index . . . . . . . . . . . . . . . . . 462--463
Anonymous Contents . . . . . . . . . . . . . . . . 464--464
Owe Axelsson A Note on a Class of Strongly $A$-Stable
Methods . . . . . . . . . . . . . . . . 1--4
W. Robert Boland The Numerical Solution of Fredholm
Integral Equations Using Product Type
Quadrature Formulas . . . . . . . . . . 5--16
Colin W. Cryer On the Instability of High Order
Backward-Difference Multistep Methods 17--25
Olav Dahl Numerical Solution of Some Degenerate
Parabolic Cauchy Problems . . . . . . . 26--37
P. Henderson and
R. Snowdon An Experiment in Structured Programming 38--53
W. D. Hoskins and
P. J. Ponzo Explicit Calculation of Interpolating
Cubic Splines on Equi-Distant Knots . . 54--62
Lydia Kronsjö and
Germund Dahlquist On the Design of Nested Iterations for
Elliptic Difference Equations . . . . . 63--71
Anita Lukka On the Estimation of Numerus Clausus . . 72--80
A. R. Mitchell and
G. M. Phillips Construction of Basis Functions in the
Finite Element Method . . . . . . . . . 81--89
Lars Rehnqvist Inversion of Certain Symmetric Band
Matrices . . . . . . . . . . . . . . . . 90--98
P.-Å. Wedin Perturbation Bounds in Connection with
Singular Value Decomposition . . . . . . 99--111
T. Espelid On the Behavior of the Secant Method
Near a Multiple Root . . . . . . . . . . 112--115
W. H. Hosken An Asymmetric Regular Set . . . . . . . 115--117
Ingemar Jönsson On Certain Primes of Mersenne-Type . . . 117--118
Anonymous Problems . . . . . . . . . . . . . . . . 119--121
Göran Eriksson New Books and Journals . . . . . . . . . 121--123
Anonymous Contents . . . . . . . . . . . . . . . . 124--124
Stefan Arnborg Storage Administration in a Virtual
Memory Simula System . . . . . . . . . . 125--141
Gunnar Bjurel Modified Linear Multistep Methods for a
Class of Stiff Ordinary Differential
Equations . . . . . . . . . . . . . . . 142--160
D. G. Corneil An Algorithm for Determining the
Automorphism Partitioning of an
Undirected Graph . . . . . . . . . . . . 161--171
John H. George and
Robert W. Gunderson Conditioning of Linear Boundary Value
Problems . . . . . . . . . . . . . . . . 172--181
J. Hilden Testing the Relative Positions of
Several Points on a Circle . . . . . . . 182--187
B. H. Laidlaw and
G. M. Phillips Iterative Methods for Solving Fredholm
Integral Equations . . . . . . . . . . . 188--193
J. N. Lyness An Algorithm for Gauss--Romberg
Integration . . . . . . . . . . . . . . 194--203
F. Mavaddat A Unified Approach to Evaluation of
Expressions . . . . . . . . . . . . . . 204--212
Webb Miller On an Interval-Arithmetic Matrix Method 213--219
Werner C. Rheinboldt and
Victor R. Basilli and
Charles K. Mesztenyi On a Programming Language for Graph
Algorithms . . . . . . . . . . . . . . . 220--241
R. E. Scraton A Modification of Miller's Recurrence
Algorithm . . . . . . . . . . . . . . . 242--251
H. A. Watts and
L. F. Shampine $A$-Stable Block Implicit One-Step
Methods . . . . . . . . . . . . . . . . 252--266
A. C. McKay Algol Programming: Certification of
contribution no. 10: LPMODSIMPLEX [BIT
\bf 4(4), 1964, pp. 189--196] . . . . . 267--268
A. C. McKay Algol Programming: Certification of
contribution no. 10: LPMODSIMPLEX [BIT
\bf 4(4), 1964, pp. 189--196] with upper
bounds . . . . . . . . . . . . . . . . . 268--271
Anonymous Problems . . . . . . . . . . . . . . . . 272--273
Peter Bergh New Books and Journals . . . . . . . . . 274--276
Anonymous Notes . . . . . . . . . . . . . . . . . 277--277
Anonymous Contents . . . . . . . . . . . . . . . . 278--278
Harald Bohman From Characteristic Function to
Distribution Function via Fourier
Analysis . . . . . . . . . . . . . . . . 279--283
William Chuba and
Webb Miller Quadratic Convergence in Interval
Arithmetic, Part I . . . . . . . . . . . 284--290
Webb Miller Quadratic Convergence in Interval
Arithmetic, Part II . . . . . . . . . . 291--298
Jacques Cohen and
Carl Zuckerman Evalquote in Simple Fortran: a Tutorial
on Interpreting Lisp . . . . . . . . . . 299--317
A. J. W. Duijvestijn Correctness Proof of an In-Place
Permutation . . . . . . . . . . . . . . 318--324
L. Garey Predictor-Corrector Methods for
Nonlinear Volterra Integral Equations of
the Second Kind . . . . . . . . . . . . 325--333
C. A. R. Hoare A Note on the \em For Statement . . . . 334--341
Torleiv Klòve Representations of Integers as Sums of
Powers with Increasing Exponents . . . . 342--346
Peter Naur An Experiment on Program Development . . 347--365
Paul Purdom A Sentence Generator for Testing Parsers 366--375
Yrjö Seppälä A Chance-Constrained Programming
Algorithm . . . . . . . . . . . . . . . 376--399
Roland F. Streit The Evaluation of Double Series . . . . 400--408
Martti Tienari On Some Topological Properties of
Numerical Algorithms . . . . . . . . . . 409--433
J. Emery and
J. Vine Algol Programming: Remark on
``Procedures for Simplifying Boolean
Expressions'' [BIT \bf 6(3), 1966, pp.
260--269, by Bo Hellgren] . . . . . . . 434--434
Anonymous Problems . . . . . . . . . . . . . . . . 435--437
I. Dahlstrand New Books and Journals . . . . . . . . . 438--439
Anonymous Errata . . . . . . . . . . . . . . . . . 440--440
Anonymous Notes . . . . . . . . . . . . . . . . . 440--440
Anonymous Contents . . . . . . . . . . . . . . . . 442--442
O. Axelsson A Generalized SSOR Method . . . . . . . 443--467
H. Brunner A Class of $A$-Stable Two-Step Methods
Based on Schur Polynomials . . . . . . . 468--474
R. L. Burden and
G. W. Hedstrom The Distribution of the Eigenvalues of
the Discrete Laplacian . . . . . . . . . 475--488
M. M. Chawla and
B. L. Raina Optimal Quadratures for Analytic
Functions . . . . . . . . . . . . . . . 489--502
M. Powell and
P. Jarratt The `Pegasus' Method for Computing the
Root of an Equation . . . . . . . . . . 503--508
W. H. Hosken Some Post Canonical Systems in One
Letter . . . . . . . . . . . . . . . . . 509--515
Tore Håvie Error Derivation in Romberg Integration 516--527
Peter Linz Error Estimates for the Computation of
Eigenvalues of Self-Adjoint Operators 528--533
Jacob Palme Part-Compilation in High-Level Languages 534--542
Axel Ruhe and
Torbjörn Wiberg The Method of Conjugate Gradients Used
in Inverse Iteration . . . . . . . . . . 543--554
Lars-Erik Thorelli Marking Algorithms . . . . . . . . . . . 555--568
L. B. Wilson An Analysis of the Stable Marriage
Assignment Algorithm . . . . . . . . . . 569--575
J. Bohman On the Number of Primes Less than a
Given Limit . . . . . . . . . . . . . . 576--577
A. Goldfine An Algorithm for the Numerical Solution
of Integro-Differential Equations . . . 578--580
D. Jacobs and
F. Lambert On the Numerical Calculation of
Polylogarithms . . . . . . . . . . . . . 581--585
J. Douglas Lawson On the Exactness of Implicit
Runge--Kutta Processes for Particular
Integrals . . . . . . . . . . . . . . . 586--588
Anonymous Problems . . . . . . . . . . . . . . . . 589--590
Anonymous New Books and Journals . . . . . . . . . 591--591
Anonymous Notes . . . . . . . . . . . . . . . . . 592--594
Anonymous Acknowledgements . . . . . . . . . . . . 595--595
P. Purdom Erratum: ``A Sentence Generator for
Testing Parsers'' [BIT \bf 12(3), 1972,
p. 372] . . . . . . . . . . . . . . . . 595--595
Anonymous Index . . . . . . . . . . . . . . . . . 596--597
Anonymous Contents . . . . . . . . . . . . . . . . 598--598
M. E. A. El Tom Numerical solution of Volterra integral
equations by spline functions . . . . . 1--7
M. R. Farmer and
G. Loizou A note on a paper by G. Pólya . . . . . . 8--15
Tore Håvie Remarks on an Expansion for Integrals of
Rapidly Oscillating Functions . . . . . 16--29
N. S. Kambo Error Bounds for a Chebyshev Quadrature
Scheme . . . . . . . . . . . . . . . . . 30--37
Eugene M. Klimko An Algorithm for Calculating Indices in
F\`aa di Bruno's Formula . . . . . . . . 38--49
Gary Lindstrom Control Extension in a Recursive
Language . . . . . . . . . . . . . . . . 50--70
Kaj Madsen A Root-Finding Algorithm Based on
Newton's Method . . . . . . . . . . . . 71--75
Webb Miller More on Quadratic Convergence in
Interval Arithmetic . . . . . . . . . . 76--83
K. J. Overholt Optimal Binary Search Methods . . . . . 84--91
K. J. Overholt Efficiency of the Fibonacci Search
Method . . . . . . . . . . . . . . . . . 92--96
Hans Riesel Some Series Related to Infinite Series
Given by Ramanujan . . . . . . . . . . . 97--113
S. Storòy An Algorithm for Finding a Vector in the
Intersection of Open Convex Polyhedral
Cones . . . . . . . . . . . . . . . . . 114--119
Aaron Gurski A Note on Analysis of Keys for Use in
Hashing . . . . . . . . . . . . . . . . 120--122
Anonymous Problems . . . . . . . . . . . . . . . . 123--124
Anonymous Books Received . . . . . . . . . . . . . 125--125
Anonymous Notes . . . . . . . . . . . . . . . . . 126--129
W. H. Hosken Erratum: ``Some Post Canonical Systems
in One Letter'' [BIT \bf 12(4), 1972, p.
511] . . . . . . . . . . . . . . . . . . 129--129
Anonymous Contents . . . . . . . . . . . . . . . . 130--130
George D. Andria and
George D. Byrne and
David R. Hill Natural spline block implicit methods 131--144
M. M. Chawla and
Veena Kaul Optimal Rules for Numerical Integration
Round the Unit Circle . . . . . . . . . 145--152
Colin W. Cryer A New Class of Highly-Stable Methods:
$A_0$-Stable Methods . . . . . . . . . . 153--159
Murli M. Gupta Numerical Solution of a Second
Biharmonic Boundary Value Problem . . . 160--164
Harold W. Lawson, Jr. and
Bengt Malm A Flexible Asynchronous Microprocessor 166--176
G. M. Phillips Explicit Forms for Certain Hermite
Approximations . . . . . . . . . . . . . 177--180
Boris Smeds A $3$-Colour Ink Jet Plotter for
Computer Graphics . . . . . . . . . . . 181--195
Torsten Ström Practical Error Estimates for Repeated
Richardson Extrapolation Schemes . . . . 196--205
Arne Thesen Scheduling of Computer Programs for
Optimal Machine Utilization . . . . . . 206--216
Per-Åke Wedin Perturbation Theory for Pseudo-Inverses 217--232
H. Vold and
B. H. Sjògren Optimal Backup of Data Bases: a
Statistical Investigation . . . . . . . 233--241
J. Bohman Some Computational Results Regarding the
Prime Numbers Below $3,000,000,000$ . . 242--244
Derick Wood A Note on Table Look-up . . . . . . . . 245--246
Anonymous Problems . . . . . . . . . . . . . . . . 247--249
Anonymous Books Received . . . . . . . . . . . . . 250--250
Anonymous Contents . . . . . . . . . . . . . . . . 251--251
Ned Anderson and
Åke Björck A New High Order Method of \em Regula
Falsi Type for Computing a Root of an
Equation . . . . . . . . . . . . . . . . 253--264
Dagfinn Andreassen On $k$-Step Methods with Almost Constant
Coefficients . . . . . . . . . . . . . . 265--271
Theodore A. Bickart and
Zdenek Picel High Order Stiffly Stable Composite
Multistep Methods for Numerical
Integration of Stiff Differential
Equations . . . . . . . . . . . . . . . 272--286
W. Robert Boland Properties of Product-Type Quadrature
Formulas . . . . . . . . . . . . . . . . 287--291
Håkan Ekblom Calculation of linear best
$L_p$-approximations . . . . . . . . . . 292--300
G. Germano and
A. Maggiolo-Schettini A Flow Diagram Composition of Markov's
Normal Algorithms without Concluding
Formulas . . . . . . . . . . . . . . . . 301--312
Donald E. Knuth and
Francis R. Stevenson Optimal Measurement Points for Program
Frequency Counts . . . . . . . . . . . . 313--322
Sòren Lauesen Program Control of Operating Systems . . 323--337
R. D. Riess Error Estimates of Hermite Interpolation 338--343
Per-Åke Wedin On the Almost Rank Deficient Case of the
Least Squares Problem . . . . . . . . . 344--354
H. Väliaho A Procedure for Parameterizing a
Constraint in Linear Programming . . . . 355--369
J. Bohman New primes of the form n $^4$ +1 . . . . 370--372
P. D. Tuan An Extension of Clenshaw's Method for
Linear Differential Equations . . . . . 372--374
Anonymous Problems . . . . . . . . . . . . . . . . 375--378
Anonymous New Books and Journals . . . . . . . . . 378--378
Anonymous Notes . . . . . . . . . . . . . . . . . 379--379
Anonymous Contents . . . . . . . . . . . . . . . . 380--380
H. Brunner On the Numerical Solution of Nonlinear
Volterra Integro-Differential Equations 381--390
F. H. Chipman The Implementation of Runge--Kutta
Implicit Processes . . . . . . . . . . . 391--393
Terje O. Espelid Analysis of a Shellsort Algorithm . . . 394--400
W. D. Hoskins and
D. S. Meek Successive Polynomial Spline Function
Approximation . . . . . . . . . . . . . 401--407
D. R. Hunkins Product Type Multiple Integration
Formulas . . . . . . . . . . . . . . . . 408--414
N. S. Kambo Optimal Quadrature Formulas . . . . . . 415--422
Richard F. King An Improved Pegasus Method for Root
Finding . . . . . . . . . . . . . . . . 423--427
Kaj Madsen On the Solution of Nonlinear Equations
in Interval Arithmetic . . . . . . . . . 428--433
J. H. McCabe and
G. M. Phillips On a Certain Class of Lebesgue Constants 434--442
Robert Piessens and
Maria Branders The Evaluation and Application of some
Modified Moments . . . . . . . . . . . . 443--450
R. Piessens and
P. Verbaeten Numerical Solution of the Abel Integral
Equation . . . . . . . . . . . . . . . . 451--457
Riaz A. Usmani A Method of High-Order Accuracy for the
Numerical Integration of Boundary Value
Problems . . . . . . . . . . . . . . . . 458--469
Richard Weiss The Convergence of Shooting Methods . . 470--475
D. Wood Some Remarks on the KH Algorithm for
$s$-Grammars . . . . . . . . . . . . . . 476--489
K. J. Overholt Integral Form of Divided Differences . . 490--492
Anonymous Problems . . . . . . . . . . . . . . . . 493--495
Bertil Ekenberg Books Received . . . . . . . . . . . . . 496--497
Anonymous Acknowledgements . . . . . . . . . . . . 497--497
Anonymous Index . . . . . . . . . . . . . . . . . 498--499
Anonymous Contents . . . . . . . . . . . . . . . . 500--500
G. V. Bochmann and
W. W. Armstrong Properties of Boolean Functions with a
Tree Decomposition . . . . . . . . . . . 1--13
M. M. Chawla and
T. R. Ramakrishnan Modified Gauss--Jacobi Quadrature
Formulas for the Numerical Evaluation of
Cauchy Type Singular Integrals . . . . . 14--21
Håkan Ekblom $L_p$-methods for robust regression . . 22--32
L. Garey The Numerical Solution of Volterra
Integral Equations with Singular Kernels 33--39
Torleiv Klòve Expressing a Prime as Difference Between
Two Numbers Containing All the Previous
Primes . . . . . . . . . . . . . . . . . 40--44
Henry F. Ledgard The Case for Structured Programming . . 45--57
Marketa Novak Full Reduction of a General Square
Matrix . . . . . . . . . . . . . . . . . 58--62
Syvert P. Nòrsett One Step Methods of Hermite Type for
Numerical Integration of Stiff Systems 63--77
Victor Schneider and
Gary Winiger Translation Grammars for Compilation and
Decompilation . . . . . . . . . . . . . 78--86
Stig Skelboe Computation of Rational Interval
Functions . . . . . . . . . . . . . . . 87--95
R. Winther A Collocation Method for Eigenvalue
Problems . . . . . . . . . . . . . . . . 96--105
P. B. Worland A Stability and Error Analysis of Block
Methods for the Numerical Solution of
$y''=f(x,y)$ . . . . . . . . . . . . . . 106--111
R. H. Barlow Convergent Continued Fraction
Approximant's to Generalised
Polylogarithms . . . . . . . . . . . . . 112--116
Carl-Erik E. Fröberg New Results on the Kummer Conjecture . . 117--119
Hans Riesel A Consequence of the Von Staudt--Clausen
Theorem . . . . . . . . . . . . . . . . 120--121
Anonymous Problems . . . . . . . . . . . . . . . . 122--124
Göran Eriksson New Books and Journals . . . . . . . . . 125--127
Jan Rohman Some computational results regarding the
prime numbers below 2,000,000,000 . . . 127--127
Anonymous Notes . . . . . . . . . . . . . . . . . 128--131
Anonymous Contents . . . . . . . . . . . . . . . . 132--132
J. Bohman Erratum: ``Some Computational Results
Regarding the Prime Numbers Below
$3,000,000,000$'' [BIT 13(2), 1973, pp.
242--244] . . . . . . . . . . . . . . . 132--132
Charles B. Dunham Convergence of Interpolation in
Polynomial Chebyshev Approximation . . . 133--135
M. E. A. El Tom On the Numerical Stability of Spline
Function Approximations to Solutions of
Volterra Integral Equations of the
Second Kind . . . . . . . . . . . . . . 136--143
C. J. Gladwin and
R. Jeltsch Stability of Quadrature Rule Methods for
First Kind Volterra Integral Equations 144--151
W. D. Hoskins and
P. J. Ponzo Some Approximation Properties of
Periodic Parametric Cubic Splines . . . 152--155
Ilkka Karasalo A Criterion for Truncation of the
$QR$-Decomposition Algorithm for the
Singular Linear Least Squares Problem 156--166
Seppo Linnainmaa Analysis of Some Known Methods of
Improving the Accuracy of Floating-Point
Sums . . . . . . . . . . . . . . . . . . 167--202
Mario Magidin The `Best' Partition of an Integer . . . 203--208
Andrzej Proskurowski Search for a Unique Incidence Matrix of
a Graph . . . . . . . . . . . . . . . . 209--226
Werner C. Rheinboldt and
Charles K. Mesztenyi Arc Graphs and their Possible
Application to Sparse Matrix Problems 227--239
H. Vantilborgh On the Working Set Size and its Normal
Approximation . . . . . . . . . . . . . 240--251
Herbert E. Salzer Some Remarks on Riesel's Series . . . . 252--253
Anonymous Problems . . . . . . . . . . . . . . . . 254--256
Anonymous New Books and Journals . . . . . . . . . 256--256
Anonymous Notes . . . . . . . . . . . . . . . . . 257--259
Anonymous Contents . . . . . . . . . . . . . . . . 260--260
H. D. Abramson A Syntax Directed Macro Processor . . . 261--272
Stefan Arnborg A Note on the Assignment of Measurement
Points for Frequency Counts in
Structured Programs . . . . . . . . . . 273--278
O. Axelsson On the Efficiency of a Class of
$A$-stable Methods . . . . . . . . . . . 279--287
M. E. A. El Tom On Spline Function Approximations to the
Solution of Volterra Integral Equations
of the First Kind . . . . . . . . . . . 288--297
David R. Hill A New Class of One-Step Methods for the
Solution of Volterra Functional
Differential Equations . . . . . . . . . 298--305
Tore Håvie Some Expansions for Integrals with
Weight Functions . . . . . . . . . . . . 306--313
Staffan Nordmark Uniform Stability of a Class of
Parabolic Difference Operators . . . . . 314--325
Paul Purdom The Size of ${\rm LALR}(1)$ Parsers . . 326--337
Lars-Erik Thorelli Design of a Small Conversational System 338--346
E. v. d. S. de Villers and
L. B. Wilson Hashing the Subscripts of a Sparse
Matrix . . . . . . . . . . . . . . . . . 347--358
A. Billauer On Gaussian Quadrature by Divided
Differences of a Modified Function . . . 359--361
Peter Pohl Iterative Improvement Without Double
Precision in a Boundary Value Problem 361--365
Anonymous Problems . . . . . . . . . . . . . . . . 366--368
C. Mårtensson New Books and Journals . . . . . . . . . 369--371
Anonymous Notes . . . . . . . . . . . . . . . . . 372--373
Anonymous Contents . . . . . . . . . . . . . . . . 374--374
Stefan Arnborg Optimal Memory Management in a System
with Garbage Collection . . . . . . . . 375--381
Y. Genin An Algebraic Approach to $A$-Stable
Linear Multistep-Multiderivative
Integration Formulas . . . . . . . . . . 382--406
Harry C. Heacox, Jr. and
Paul W. Purdom, Jr. Analysis of a Multi-Level Time-Sharing
Model . . . . . . . . . . . . . . . . . 407--412
D. B. Hunter and
Susan J. Parsons On the Numerical Integration of an Odd
Periodic Function over a Half-Period . . 413--415
Timo Järvi and
Markku Nurminen Some Problems in Automatic Process
Grouping and File Consolidation . . . . 416--429
Bengt Lindberg On a Dangerous Property of Methods for
Stiff Differential Equations . . . . . . 430--436
Matti Mäkelä and
Olavi Nevanlinna and
Aarne H. Sipilä Exponentially Fitted Multistep Methods
by Generalized Hermite--Birkhoff
Interpolation . . . . . . . . . . . . . 437--451
N. Papamichael and
J. R. Whiteman Cubic Spline Interpolation of Harmonic
Functions . . . . . . . . . . . . . . . 452--459
Teodor Rus and
Ulrich Sinn An Algebraic Approach to Data
Organization . . . . . . . . . . . . . . 460--481
Anonymous Problems . . . . . . . . . . . . . . . . 482--484
Anonymous New Books and Journals . . . . . . . . . 485--485
Anonymous Notes . . . . . . . . . . . . . . . . . 486--486
Anonymous Acknowledgements . . . . . . . . . . . . 487--487
Anonymous Index . . . . . . . . . . . . . . . . . 488--489
Anonymous Contents . . . . . . . . . . . . . . . . 490--490
Ned Anderson and
Ilkka Karasalo On Computing Bounds for the Least
Singular Value of a Triangular Matrix 1--4
Ole Caprani Round-off Errors in Floating-Point
Summation . . . . . . . . . . . . . . . 5--9
W. H. Enright and
T. E. Hull and
B. Lindberg Comparing Numerical Methods for Stiff
Systems of O.D.E's . . . . . . . . . . . 10--48
Linda Kaufman A Variable Projection Method for Solving
Separable Nonlinear Least Squares
Problems . . . . . . . . . . . . . . . . 49--57
Frans Lemeire Bounds for Condition Numbers of
Triangular and Trapezoid Matrices . . . 58--64
Frans Lemeire Computation of Equivalent Inherent
Rounding Errors in the Solution of a Set
of Linear Equations . . . . . . . . . . 65--71
Arne Maus On Access to Temporary Resources . . . . 72--84
J. G. Peters and
P. S. Kritzinger Implementation of Samplesort: a Minimal
Storage Tree Sort . . . . . . . . . . . 85--93
B. Schorr Numerical Inversion of a Class of
Characteristic Functions . . . . . . . . 94--102
C. Corradi On the Acceleration of the Convergence
of Monotone Iteration Processes for
Solving Systems of Linear Algebraic
Equations . . . . . . . . . . . . . . . 103--104
J. D. Donaldson A Note on Osculatory Quadrature Formulae 105--106
Lydia Kronsjö A Note on the `Nested Iterations' Method 107--110
Anonymous Problems . . . . . . . . . . . . . . . . 111--113
Anonymous New Books and Journals . . . . . . . . . 114--114
Anonymous Notes . . . . . . . . . . . . . . . . . 114--115
Anonymous Contents . . . . . . . . . . . . . . . . 116--116
Nabih N. Abdelmalek Chebyshev Solution of Overdetermined
Systems of Linear Equations . . . . . . 117--129
V. K. Barwell Special Stability Problems for
Functional Differential Equations . . . 130--135
H. Brunner On the Approximate Solution of the Abel
Integral Equation with Discontinuous
Solution . . . . . . . . . . . . . . . . 136--143
B. J. Cornelius and
G. H. Kirby Depth of Recursion and the Ackermann
Function . . . . . . . . . . . . . . . . 144--150
Grete Dahl and
Sverre Storòy Decomposed Enumeration of Extreme Points
in the Linear Programming Problem . . . 151--157
Nachum Dershowitz A Simplified Loop-free Algorithm for
Generating Permutations . . . . . . . . 158--164
Seppo Linnainmaa Towards Accurate Statistical Estimation
of Rounding Errors in Floating-Point
Computations . . . . . . . . . . . . . . 165--173
W. Rey On Least $p$-th Power Methods in
Multiple Regressions and Location
Estimations . . . . . . . . . . . . . . 174--184
A. Sameh and
J. Lermit and
K. Noh On the Intermediate Eigenvalues of
Symmetric Sparse Matrices . . . . . . . 185--191
Sven Tafvelin Dynamic Microprogramming and External
Subroutine Calls in a Multics-type
Environment . . . . . . . . . . . . . . 192--202
Sven Tafvelin and
Åke Wikström Aspects of Compact Programs and Directly
Executed Languages . . . . . . . . . . . 203--214
S.-Å. Tärnlund Computation of Resource Requirements . . 215--220
D. B. Hunter and
Susan J. Parsons A Note on the Numerical Evaluation of
Finite Integrals of Oscillatory
Functions . . . . . . . . . . . . . . . 221--223
Anonymous Problems . . . . . . . . . . . . . . . . 224--226
Sten Henrickson New Books and Journals . . . . . . . . . 227--231
Anonymous Notes . . . . . . . . . . . . . . . . . 232--234
Anonymous Contents . . . . . . . . . . . . . . . . 235--235
Carl-Erik Fröberg Niels Ivar Bech: 22.8.1920 -- 25.7.1975 237--238
Jan Bohman and
Carl-Erik Fröberg Numerical Results on the Goldbach
Conjecture . . . . . . . . . . . . . . . 239--243
David M. Creedon and
John J. H. Miller The Stability Properties of $q$-Step
Backward Difference Schemes . . . . . . 244--249
M. R. Farmer and
G. Loizou A Class of Iteration Functions for
Improving, Simultaneously,
Approximations to the Zeros of a
Polynomial . . . . . . . . . . . . . . . 250--258
Arne Halaas Event-Driven Control Statements . . . . 259--271
W. D. Hoskins and
D. S. Meek Linear Dependence Relations for
Polynomial Splines at Midknots . . . . . 272--276
D. P. Laurie Propagation of Initial Rounding Error in
Romberg-Like Quadrature . . . . . . . . 277--282
J. Oliver and
A. Ruffhead The Selection of Interpolation Points in
Numerical Differentiation . . . . . . . 283--295
Merrell L. Patrick and
Donald G. Saari A Globally Convergent Algorithm for
Determining Approximate Real Zeros of a
Class of Functions . . . . . . . . . . . 296--303
Lawrence L. Rose and
Malcolm H. Gotterer An Analysis of File Movement under
Dynamic File Management Strategies . . . 304--313
T. Ström and
J. N. Lyness On Numerical Differentiation . . . . . . 314--322
D. Woodhouse A Note on the Secant Method . . . . . . 323--327
L. V. Atkinson Hashing Matrix Subscripts . . . . . . . 328--330
J. M. Pollard A Monte Carlo Method for Factorization 331--334
Anonymous Problems . . . . . . . . . . . . . . . . 335--337
Anonymous New Books and Journals . . . . . . . . . 337--337
Anonymous Notes . . . . . . . . . . . . . . . . . 338--339
Anonymous Contents . . . . . . . . . . . . . . . . 340--340
T. B. Boffey The Linearization of Flow Charts . . . . 341--350
I. Borosh More Numerical Evidence on the
Uniqueness of Markov Numbers . . . . . . 351--357
J. C. Butcher A Stability Property of Implicit
Runge--Kutta Methods . . . . . . . . . . 358--361
Ole Caprani and
Kaj Madsen Contraction Mappings in Interval
Analysis . . . . . . . . . . . . . . . . 362--366
M. M. Chawla Optimal Approximate Formulas with
Polynomial Precision . . . . . . . . . . 367--372
Jacques Cohen and
Peter Grossman Compilation of Linear Partial
Differential Equations into
Finite-Difference Programs . . . . . . . 373--380
Germund Dahlquist and
Ingemar Ingemarsson and
Hans Riesel A Randomly Generated Program for
Automatic Identity Checking . . . . . . 381--384
Bertil Ekenberg Curve Fitting by Use of Graphic Display 385--393
Göran Fries On Compatibility --- A Proposed Solution 394--400
L. Garey Block Methods for Nonlinear Volterra
Integral Equations . . . . . . . . . . . 401--408
Arne Jonassen and
Ole-Johan Dahl Analysis of an Algorithm for Priority
Queue Administration . . . . . . . . . . 409--422
Torleiv Klòve Representations of Integers as Sums of
Powers with Increasing Exponents --- II 423--425
G. M. Phillips and
B. N. Sahney An Error Estimate for Least Squares
Approximation . . . . . . . . . . . . . 426--430
David S. Wise and
Daniel P. Friedman and
Stuart C. Shapiro and
Mitchell Wand Boolean Valued Loops . . . . . . . . . . 431--451
Anonymous Problems . . . . . . . . . . . . . . . . 452--454
P. Naur New Books and Journals . . . . . . . . . 455--457
Anonymous Notes . . . . . . . . . . . . . . . . . 458--459
Anonymous Acknowledgements . . . . . . . . . . . . 460--460
Anonymous Index . . . . . . . . . . . . . . . . . 461--462
Anonymous Contents . . . . . . . . . . . . . . . . 463--463
Allan Aulin Newton-like methods for two-point
boundary value problems . . . . . . . . 1--12
Walter A. Burkhard Partial Match Retrieval . . . . . . . . 13--31
David Elliott and
D. F. Paget Product-integration rules and their
convergence . . . . . . . . . . . . . . 32--40
Richard Goodman On round-off error in fixed-point
multiplication . . . . . . . . . . . . . 41--51
Ann Haegemans Circularly symmetrical integration
formulas for two-dimensional circularly
symmetrical regions . . . . . . . . . . 52--59
J. Hilden Elimination of recursive calls using a
small table of `randomly' selected
function values . . . . . . . . . . . . 60--73
Rolf Jeltsch Note on $A$-stability of multistep
multiderivative methods . . . . . . . . 74--78
Olavi Nevanlinna On error bounds for $G$-stable methods 79--84
Seppo Pajunen Computations on the growth of the first
factor for prime cyclotomic fields . . . 85--87
Arne Wang An axiomatic basis for proving total
correctness of GOTO programs . . . . . . 88--102
B. A. Wichmann Ackermann's function: a study in the
efficiency of calling procedures . . . . 103--110
Anonymous Problems . . . . . . . . . . . . . . . . 111--113
Bertil Ekenberg New Books and Journals . . . . . . . . . 114--115
Anonymous Notes . . . . . . . . . . . . . . . . . 116--122
Anonymous Contents . . . . . . . . . . . . . . . . 123--123
B. J. Cornelius and
G. H. Kirby A programming technique for recursive
procedures . . . . . . . . . . . . . . . 125--132
Terje O. Espelid On replacement selection and Dinsmore's
improvement . . . . . . . . . . . . . . 133--142
Frans Lemeire Equilibration of matrices to optimize
backward numerical stability . . . . . . 143--145
Seppo Linnainmaa Taylor expansion of the accumulated
rounding error . . . . . . . . . . . . . 146--160
R. A. Rink and
B. P. Guru Analytical solutions for a class of
nonlinear differential equations using
Altran . . . . . . . . . . . . . . . . . 161--171
J. L. Siemieniuch Properties of certain rational
approximations to $e^{-z}$ . . . . . . . 172--191
Jayme L. Szwarcfiter and
Peter E. Lauer A search strategy for the elementary
cycles of a directed graph . . . . . . . 192--204
Jesse Y. Wang On the discretisation error of the
weighted Simpson rule . . . . . . . . . 205--214
A. Wouk Collocation for initial value problems 215--222
F. H. Chipman A note on implicit $A$-stable R-K
methods with parameters . . . . . . . . 223--225
Gerhard Wanner A short proof on nonlinear $A$-stability 226--227
Anonymous Problems . . . . . . . . . . . . . . . . 228--230
Anonymous New Books and Journals . . . . . . . . . 231--231
Anonymous Notes . . . . . . . . . . . . . . . . . 232--234
Anonymous Contents . . . . . . . . . . . . . . . . 235--235
J. C. Butcher On the implementation of implicit
Runge--Kutta methods . . . . . . . . . . 237--240
J. A. Campbell and
J. G. Kent and
R. J. Moore Experiments with a symbolic programming
system for complex analysis . . . . . . 241--256
D. P. Davey and
N. F. Stewart Guaranteed error bounds for the initial
value problem using polytope arithmetic 257--268
Åke Hansson and
Sten-Åke Tärnlund Zig-zag procedures for memory allocation
and retrieval of dense equilateral
arrays of dynamically varying order . . 269--274
Donald B. Johnson and
Ravi Sethi A characterization of ${\rm LL}(1)$
grammars . . . . . . . . . . . . . . . . 275--280
Tom Lyche Discrete cubic spline interpolation . . 281--290
Abdel-Wahab M. Nourein Root determination by use of Padé
approximants . . . . . . . . . . . . . . 291--297
Augustin Paulik On the optimal approximation of bounded
linear functionals in Hilbert spaces of
analytic functions . . . . . . . . . . . 298--307
Peter Pohl On binary-exponent alternating sums . . 308--312
G. Tsamasphyros and
P. S. Theocaris Numerical inversion of Mellin transforms 313--321
Arne Wang A case study in program transformation 322--331
L. B. Wilson Sequence search trees: Their analysis
using recurrence relations . . . . . . . 332--337
Gaston H. Gonnet A short note on convergence near a high
order zero . . . . . . . . . . . . . . . 338--339
Bruce Knobe and
Gideon Yuval Compilers should indent . . . . . . . . 340--343
Anonymous Problems . . . . . . . . . . . . . . . . 344--346
Anonymous Newton-like methods for two-point
boundary value problems . . . . . . . . 346--346
Anonymous Notes . . . . . . . . . . . . . . . . . 346--347
Anonymous New Books and Journals . . . . . . . . . 347--347
Anonymous Contents . . . . . . . . . . . . . . . . 348--348
D. O. Andreassen and
G. A. Watson Linear Chebyshev approximation without
Chebyshev sets . . . . . . . . . . . . . 349--362
G. Avdelas and
A. Hadjidimos On improving the convergence rates of
extrapolated alternating direction
implicit schemes . . . . . . . . . . . . 363--373
L. M. Chawla and
John E. Maxfield On a table of the product-sum partition
function $p(n,m)$ . . . . . . . . . . . 374--377
Harry T. Hsu A note on weighted buddy systems for
dynamic storage allocation . . . . . . . 378--382
L. W. Jackson The $A$-stability of a family of fourth
order methods . . . . . . . . . . . . . 383--387
Syvert P. Nòrsett Runge--Kutta methods with a multiple
real eigenvalue only . . . . . . . . . . 388--393
H. V. Smith Error estimates for a class of
quadrature formulae . . . . . . . . . . 394--399
Sven Tafvelin The time dependent behaviour of high
speed sequential files on cycling
storage . . . . . . . . . . . . . . . . 400--415
P. J. Taylor The solution of Volterra integral
equations of the first kind using
inverted differentiation formulae . . . 416--425
Lars-Erik Thorelli A fast compactifying garbage collector 426--441
David S. Wise and
Dan C. Watson Tuning Garwick's algorithm for repacking
sequential storage . . . . . . . . . . . 442--450
O. Òsterby Prime decompositions with minimum sum 451--458
M. Boyer and
L. Paquette An algorithm to decide if the
intersection of convex polyhedral cones
has a non empty interior . . . . . . . . 459--461
Jan Eriksson A note on the decomposition of systems
of sparse nonlinear equations . . . . . 462--465
Anonymous Problems . . . . . . . . . . . . . . . . 466--468
Anonymous New Books and Journals . . . . . . . . . 469--469
Anonymous Notes . . . . . . . . . . . . . . . . . 470--473
Anonymous Acknowledgements . . . . . . . . . . . . 473--473
Anonymous Index . . . . . . . . . . . . . . . . . 474--475
Anonymous Contents . . . . . . . . . . . . . . . . 476--476
David M. Choy and
C. K. Wong Bounds for optimal $\alpha$-$\beta$
binary trees . . . . . . . . . . . . . . 1--15
Narsingh Deo and
J. M. Davis and
R. E. Lord A new algorithm for digraph isomorphism 16--30
John D. Donaldson Convergence of osculatory quadrature
formulae . . . . . . . . . . . . . . . . 31--38
Bo Kågström Bounds and perturbation bounds for the
matrix exponential . . . . . . . . . . . 39--57
Olavi Nevanlinna On the numerical integration of
nonlinear initial value problems by
linear multistep methods . . . . . . . . 58--71
Håkan Ramsin and
Per-Åke Wedin A comparison of some algorithms for the
nonlinear least squares problem . . . . 72--90
Stig Skelboe The control of order and steplength for
backward differentiation methods . . . . 91--107
H. V. Smith Error estimates for Gauss--Legendre
quadrature of integrands possessing
Dirichlet series expansions . . . . . . 108--112
Seppo Pajunen Computations of the growth of the first
factor for prime cyclotomic fields II 113--114
Anonymous Problems . . . . . . . . . . . . . . . . 115--116
S. Henriksson New Books and Journals . . . . . . . . . 116--117
Sten Henriksson Reviews . . . . . . . . . . . . . . . . 117--118
Anonymous Notes . . . . . . . . . . . . . . . . . 119--119
Anonymous Contents . . . . . . . . . . . . . . . . 120--120
Carter Bays and
Richard H. Hudson The segmented sieve of Eratosthenes and
primes in arithmetic progressions to
$10^{12}$ . . . . . . . . . . . . . . . 121--127
M. M. Chawla A sixth order tridiagonal finite
difference method for non-linear
two-point boundary value problems . . . 128--133
Lars Eldén Algorithms for the regularization of
ill-conditioned least squares problems 134--145
Reinhard Frank and
Christoph W. Ueberhuber Iterated defect correction for the
efficient solution of stiff systems of
ordinary differential equations . . . . 146--159
Torkel Glad and
Allen A. Goldstein Optimization of functions whose values
are subject to small errors . . . . . . 160--169
Gaston H. Gonnet On the structure of zero finders . . . . 170--183
W. D. Hoskins and
D. S. Meek and
D. J. Walton The numerical solution of the matrix
equation $XA + AY= F$ . . . . . . . . . 184--190
Terence C.-Y -Y. Lau Rational exponential approximation with
real poles . . . . . . . . . . . . . . . 191--199
Syvert P. Nòrsett and
Arne Wolfbrandt Attainable order of rational
approximations to the exponential
function with only real poles . . . . . 200--208
Trond Steihaug Numerical solution of linear algebraic
equations where the coefficient matrix
is a polynomial of a square matrix . . . 209--214
Sten-Åke Tärnlund Horn clause computability . . . . . . . 215--226
R. A. Usmani On the numerical integration of a
boundary value problem involving a
fourth order linear differential
equation . . . . . . . . . . . . . . . . 227--234
R. Scherer A note on Radau and Lobatto formulae for
O.D.E.'s . . . . . . . . . . . . . . . . 235--238
Sol Weintraub Primes in arithmetic progression . . . . 239--243
Anonymous Problems . . . . . . . . . . . . . . . . 244--246
Anonymous New Books and Journals . . . . . . . . . 247--247
Anonymous Contents . . . . . . . . . . . . . . . . 248--248
Nabih N. Abdelmalek The discrete linear restricted Chebyshev
approximation . . . . . . . . . . . . . 249--261
M. Brannigan Uniform approximation by generalised
polynomials . . . . . . . . . . . . . . 262--269
J. R. Cash On a class of cyclic methods for the
numerical integration of stiff systems
of O.D.E.s . . . . . . . . . . . . . . . 270--280
M. M. Chawla An eighth order tridiagonal finite
difference method for nonlinear
two-point boundary value problems . . . 281--285
Robert Todd Gregory and
David W. Matula Base conversion in residue number
systems . . . . . . . . . . . . . . . . 286--302
M. Jankowski and
H. Wo\'zniakowski Iterative refinement implies numerical
stability . . . . . . . . . . . . . . . 303--311
Malcolm S. Keech A third order, semi-explicit method in
the numerical solution of first kind
Volterra integral equations . . . . . . 312--320
Richard F. King A secant method for multiple roots . . . 321--328
Peter Linz An analysis of a method for solving
singular integral equations . . . . . . 329--337
H. V. Smith A method for the integration of
oscillatory functions . . . . . . . . . 338--343
N. Solntseff and
D. Wood Pyramids: a data type for matrix
representation in Pascal . . . . . . . . 344--350
David S. Wise and
Daniel P. Friedman The One-Bit Reference Count . . . . . . 351--359
G. Claessens and
G. Loizou and
L. Wuytack Comments on a root finding method using
Padé approximation . . . . . . . . . . . 360--361
R. D. Tennent A note on files in Pascal . . . . . . . 362--366
Arne Wolfbrandt A note on a recent result of rational
approximations to the exponential
function . . . . . . . . . . . . . . . . 367--368
Anonymous Problems . . . . . . . . . . . . . . . . 369--370
Anonymous New Books and Journals . . . . . . . . . 371--371
Anonymous Notes . . . . . . . . . . . . . . . . . 372--373
J. C. Butcher On $A$-stable implicit Runge--Kutta
methods . . . . . . . . . . . . . . . . 375--378
D. J. Evans and
G. Avdelas On extrapolated alternating direction
implicit (E.A.D.I.) methods of second
order . . . . . . . . . . . . . . . . . 379--385
Carl-Erik Fröberg Accurate estimation of the number of
binary partitions . . . . . . . . . . . 386--391
J. D. Gribble Further properties of inner product
quadrature formulas . . . . . . . . . . 392--408
E. Hansen and
M. Patrick and
J. Rusnak Some modifications of Laguerre's method 409--417
Tore Håvie Romberg integration as a problem in
interpolation theory . . . . . . . . . . 418--429
Jozef Miklo\vsko A fast algorithm for repeated
computation of linear recurrence
relations . . . . . . . . . . . . . . . 430--436
W. C. Rheinboldt and
C. K. Mesztenyi and
J. M. Fitzgerald On the evaluation of multivariate
polynomials and their derivatives . . . 437--450
Jorma Sajaniemi Some difficulties with abstract and
concrete syntax . . . . . . . . . . . . 451--457
G. J. Tsamasphyros and
P. S. Theocaris On the convergence of a Gauss quadrature
rule for evaluation of Cauchy type
singular integrals . . . . . . . . . . . 458--464
M. S. Waterman Multidimensional greatest common divisor
and Lehmer algorithms . . . . . . . . . 465--478
J. Bohman A note on the number of partitions other
than binary . . . . . . . . . . . . . . 479--480
A. K. Dhawan and
V. K. Srivastava On a new division algorithm . . . . . . 481--485
D. J. Evans Fast A.D.I. methods for the solution of
linear parabolic partial differential
equations involving $2$ space dimensions 486--491
J. D. Lawson and
J. Ll. Morris A note on the efficient implementation
of splitting methods in two space
variables . . . . . . . . . . . . . . . 492--493
Anonymous Problems . . . . . . . . . . . . . . . . 494--496
Anonymous New Books and Journals . . . . . . . . . 497--497
Syvert P. Nòrsett Erratum: ``Runge--Kutta methods with a
multiple real eigenvalue only'' [BIT \bf
16(4), 1976, pp. 388--393] . . . . . . . 497--497
Anonymous Notes . . . . . . . . . . . . . . . . . 498--499
Anonymous Acknowledgements . . . . . . . . . . . . 499--499
Anonymous Index . . . . . . . . . . . . . . . . . 500--501
Anonymous Contents . . . . . . . . . . . . . . . . 502--504
T. Anderson and
R. W. Witty Safe programming . . . . . . . . . . . . 1--8
T. A. Bickart and
E. I. Jury Arithmetic tests for $A$-stability,
$A(\alpha)$-stability, and
stiff-stability . . . . . . . . . . . . 9--21
Kevin Burrage A special family of Runge--Kutta methods
for solving stiff differential equations 22--41
Ole Caprani and
Kaj Madsen Iterative methods for interval inclusion
of fixed points . . . . . . . . . . . . 42--51
E. G. Coffman, Jr. and
Donald B. Johnson and
Joseph Y.-T. Leung An efficient algorithm for allocating
paged drum-like storage . . . . . . . . 52--66
John M. Einbu Determination of a basis for linear
least square approximation . . . . . . . 67--71
Stein Gjessing Compile time preparations for run time
scheduling in monitors . . . . . . . . . 73--83
B. S. Goh Global convergence of some differential
equation algorithms for solving
equations involving positive variables 84--90
I. H. Sloan On the numerical evaluation of singular
integrals . . . . . . . . . . . . . . . 91--102
R. L. Brown Evaluation of ordinary differential
equation software . . . . . . . . . . . 103--105
G. Fairweather A note on the efficient implementation
of certain Padé methods for linear
parabolic problems . . . . . . . . . . . 106--109
Torleiv Klòve Two non-closure results on families of
$L$-languages . . . . . . . . . . . . . 109--111
Riaz A. Usmani and
F. S. Chebib A note on the least-square linear
approximation . . . . . . . . . . . . . 112--115
Anonymous Problems . . . . . . . . . . . . . . . . 115--117
Anonymous New Books and Journals . . . . . . . . . 117--117
Anonymous Notes . . . . . . . . . . . . . . . . . 118--123
Peter M. G. Apers Recursive samplesort . . . . . . . . . . 125--132
Germund Dahlquist On accuracy and unconditional stability
of linear multistep methods for second
order differential equations . . . . . . 133--136
David Elliott and
D. F. Paget The convergence of product integration
rules . . . . . . . . . . . . . . . . . 137--141
Ivar Gustafsson A class of first order factorization
methods . . . . . . . . . . . . . . . . 142--156
Arieh Iserles On the $A$-stability of implicit
Runge--Kutta processes . . . . . . . . . 157--169
R. Jeltsch Stability on the imaginary axis and
$A$-stability of linear multistep
methods . . . . . . . . . . . . . . . . 170--174
W. Knauff and
A. Paulik A note on Davis type error bounds . . . 175--183
Per-Åke Larson Dynamic Hashing . . . . . . . . . . . . 184--201
K. M. Mjelde Convex-concave fractional programming
with each variable occurring in a single
constraint . . . . . . . . . . . . . . . 202--210
P. W. Purdom Automatic program indentation . . . . . 211--218
D. Wood A comparison of two methods of encoding
arrays . . . . . . . . . . . . . . . . . 219--229
J. Georges and
F. Heymans On compound statements in a
conversational language . . . . . . . . 230--233
J. Oliver A note on the signs of truncated
Chebyshev polynomials . . . . . . . . . 233--235
Anonymous Problems . . . . . . . . . . . . . . . . 236--237
Anonymous New Books and Journals . . . . . . . . . 237--237
Anonymous Notes . . . . . . . . . . . . . . . . . 238--238
Anonymous Contents . . . . . . . . . . . . . . . . 239--239
Vijay B. Aggarwal and
James W. Burgmeier An algorithmic decomposition system for
second order recurrence relations . . . 241--258
Stefan Arnborg Analysis of non-deterministic drum
scheduling . . . . . . . . . . . . . . . 259--264
Jane Cullum The simultaneous computation of a few of
the algebraically largest and smallest
eigenvalues of a large, sparse,
symmetric matrix . . . . . . . . . . . . 265--275
W. H. Enright and
Steven M. Serbin A note on the efficient solution of
matrix pencil systems . . . . . . . . . 276--281
Robert Todd Gregory The use of finite segment $p$-adic
arithmetic for exact computation . . . . 282--300
E. N. Houstis Collocation methods for linear elliptic
problems . . . . . . . . . . . . . . . . 301--310
Bush Jones and
W. G. Waller and
Arnold Feldman Root isolation using function values . . 311--319
Olli Nevalainen and
Jukka Teuhola The efficiency of two indexed priority
queue algorithms . . . . . . . . . . . . 320--333
Giuliano Pacini and
Maria Simi Testing equality in LISP-like
environments . . . . . . . . . . . . . . 334--341
Fernanda Patrício Cubic spline functions and initial value
problems . . . . . . . . . . . . . . . . 342--347
P. Révay Evaluation of a system design model . . 348--361
Ned Anderson A note on a generalized interpolation
problem . . . . . . . . . . . . . . . . 362--363
Grete Dahl On scaling in linear algebraic systems 363--365
Anonymous Problems . . . . . . . . . . . . . . . . 366--368
Anonymous New books and journals . . . . . . . . . 368--368
Anonymous Notes . . . . . . . . . . . . . . . . . 369--371
Anonymous Contents . . . . . . . . . . . . . . . . 372--372
Kevin Burrage High order algebraically stable
Runge--Kutta methods . . . . . . . . . . 373--383
Germund Dahlquist $G$-stability is equivalent to
$A$-stability . . . . . . . . . . . . . 384--401
A. Friedli and
R. Jeltsch An algebraic test for $A_0$-stability 402--414
Eldon Hansen A globally convergent interval method
for computing and bounding real roots 415--424
H. P. Kriegel and
V. K. Vaishnavi and
D. Wood $2$-$3$ brother trees . . . . . . . . . 425--435
Stein Krogdahl Verification of a class of link-level
protocols . . . . . . . . . . . . . . . 436--448
Zavdi L. Lichtman Source program optimization with a
generalized for statement . . . . . . . 449--453
K. M. Mjelde Sufficiency of Kuhn--Tucker optimality
conditions for a fractional programming
problem . . . . . . . . . . . . . . . . 454--456
Olavi Nevanlinna and
Werner Liniger Contractive methods for stiff
differential equations, Part I . . . . . 457--474
G. Wanner and
E. Hairer and
S. P. Nòrsett Order stars and stability theorems . . . 475--489
David G. Carta Minimax approximation by rational
fractions of the inverse polynomial type 490--492
Tore Herlestam Critical remarks on some public-key
cryptosystems . . . . . . . . . . . . . 493--496
T. R. Hopkins Note on a family of economical sixth
order finite difference methods for
non-linear $2$-point boundary value
problems . . . . . . . . . . . . . . . . 497--499
Rolf Jeltsch and
Olavi Nevanlinna Largest disk of stability of explicit
Runge--Kutta methods . . . . . . . . . . 500--502
G. Wanner and
E. Hairer and
S. P. Nòrsett When $I$-stability implies $A$-stability 503--503
Anonymous Problems . . . . . . . . . . . . . . . . 504--505
Anonymous New Books and Journals . . . . . . . . . 506--506
Anonymous Notes . . . . . . . . . . . . . . . . . 506--509
Anonymous Acknowledgements . . . . . . . . . . . . 509--509
Anonymous Index . . . . . . . . . . . . . . . . . 510--511
Anonymous Contents . . . . . . . . . . . . . . . . 512--512
Celia Andrade and
S. McKee On optimal high accuracy linear
multistep methods for first kind
Volterra integral equations . . . . . . 1--11
G. Avdelas and
A. Hadjidimos and
N. P. Krimnianiotis Improved extrapolated alternating
direction implicit schemes for the
numerical solution of three-dimensional
elliptic problems . . . . . . . . . . . 12--18
G. H. Behforooz and
N. Papamichael Improved orders of approximation derived
from interpolatory cubic splines . . . . 19--26
M. M. Chawla and
C. P. Katti Finite difference methods for two-point
boundary value problems involving high
order differential equations . . . . . . 27--33
N. D. Francis Computation of material requirements for
production planning . . . . . . . . . . 34--38
Jorma Kaarlo Merikoski On a lower bound for the Perron
eigenvalue . . . . . . . . . . . . . . . 39--42
Niels Munksgaard New factorization codes for sparse,
symmetric and positive definite matrices 43--52
Olavi Nevanlinna and
Werner Liniger Contractive methods for stiff
differential equations Part II . . . . . 53--72
Anton Nijholt Grammar functors and covers: From
non-left-recursive to Greibach normal
form grammars . . . . . . . . . . . . . 73--78
S. P. Nòrsett and
G. Wanner The real-pole sandwich for rational
approximations and oscillation equations 79--94
G. M. Phillips Best polynomial approximations: a
corrected proof . . . . . . . . . . . . 95--97
G. M. Phillips Seventh degree integration rules for the
cube . . . . . . . . . . . . . . . . . . 98--103
Philip Rabinowitz On avoiding the singularity in the
numerical integration of proper
integrals . . . . . . . . . . . . . . . 104--110
Rudolf Scherer A necessary condition for $B$-stability 111--115
Esko Ukkonen An analysis of the effect of rounding
errors on the flow of control in
numerical processes . . . . . . . . . . 116--133
M. N. Channabasappa A note on the computation of multiple
zeros of polynomials by Newton's method 134--135
P. M. Dew and
M. R. West Estimating and controlling the global
error in Gear's method . . . . . . . . . 135--137
Arne Fransén Accurate determination of the inverse
gamma integral . . . . . . . . . . . . . 137--138
Anonymous Problems . . . . . . . . . . . . . . . . 139--140
Anonymous New Books and Journals . . . . . . . . . 140--140
Anonymous Notes . . . . . . . . . . . . . . . . . 141--143
Anonymous Contents . . . . . . . . . . . . . . . . 144--144
Åke Björck and
Tommy Elfving Accelerated projection methods for
computing pseudoinverse solutions of
systems of linear equations . . . . . . 145--163
Baruch Cahlon On the initial value problem for a
certain partial differential equation 164--171
D. J. Evans and
N. M. Missirlis The modified alternating direction
preconditioning method for the numerical
solution of the elliptic self-adjoint
second order and biharmonic equations 172--185
Pierre Hillion A new stability criterion for linear
discrete systems . . . . . . . . . . . . 186--195
Ellen Hisdal Quantitative measure of the amount of
information acquired in a learning
process . . . . . . . . . . . . . . . . 196--203
T. Håvie Generalized Neville type extrapolation
schemes . . . . . . . . . . . . . . . . 204--213
F. M. Larkin A modification of the secant rule
derived from a maximum likelihood
principle . . . . . . . . . . . . . . . 214--222
Per-Åke Larson Frequency loading and linear probing . . 223--228
Tom Lyche A Newton form for trigonometric Hermite
interpolation . . . . . . . . . . . . . 229--235
José Mario Martínez Three new algorithms based on the
sequential secant method . . . . . . . . 236--243
Bo Sandén Verification of a program complex . . . 244--255
Hannu Väliaho A procedure for one-parametric linear
programming . . . . . . . . . . . . . . 256--269
K. M. Mjelde Convex-concave fractional programming
--- evaluation of solutions and
optimality conditions . . . . . . . . . 270--270
Michael L. Overton and
Andrzej Proskurowski Canonical incidence matrices of graphs 271--273
Ronald L. Rivest Critical remarks on: ``Critical remarks
on some public-key cryptosystems'' [BIT
\bf 18(4), 1978, pp. 493--496; MR
80b:94033 ] by Tore Herlestam . . . . . 274--275
Ray P. Steiner On Cullen numbers . . . . . . . . . . . 276--277
R. S. Stepleman Monotone convergence and effective
stopping criteria for numerical
processes . . . . . . . . . . . . . . . 278--281
Amiram Yehudai A new definition for simple precedence
grammars . . . . . . . . . . . . . . . . 282--284
Anonymous Problems . . . . . . . . . . . . . . . . 285--286
Anonymous New Books and Journals . . . . . . . . . 286--286
Anonymous Notes . . . . . . . . . . . . . . . . . 287--287
Anonymous Contents . . . . . . . . . . . . . . . . 288--288
Kabekode V. S. Bhat and
Bharat Kinariwala An algorithm for the $n \times n$
optimum assignment problem . . . . . . . 289--296
Jan Bohman and
Carl-Erik Fröberg and
Hans Riesel Partitions in squares . . . . . . . . . 297--301
R. Devillers and
G. Louchard Hashing techniques. A global approach 302--311
Greg Finn and
Ellis Horowitz A linear time approximation algorithm
for multiprocessor scheduling . . . . . 312--320
T. L. Freeman A method for computing all the zeros of
a polynomial with real coefficients . . 321--333
Stein Gjessing Monitors with associated processors . . 334--346
M. K. Jain and
R. K. Jain and
U. Anantha Krishnaiah $P$-stable methods for periodic initial
value problems of second order
differential equations . . . . . . . . . 347--355
Axel Ruhe Accelerated Gauss--Newton Algorithms for
Nonlinear Least Squares Problems . . . . 356--367
G. Tsamasphyros and
P. S. Theocaris Cubature formulas for the evaluation of
surface singular integrals . . . . . . . 368--377
E. H. Twizell An explicit difference method for the
wave equation with extended stability
range . . . . . . . . . . . . . . . . . 378--383
J. G. Verwer The application of iterated defect
correction to the LOD method for
parabolic equations . . . . . . . . . . 384--394
R. F. Warming and
Richard M. Beam An extension of $A$-stability to
alternating direction implicit methods 395--417
Jin Kue Wong A new implementation of an algorithm for
the optimal assignment problem: An
improved version of Munkre's algorithm 418--424
Anonymous Problems . . . . . . . . . . . . . . . . 425--426
Anonymous New Books and Journals . . . . . . . . . 427--427
Anonymous Notes . . . . . . . . . . . . . . . . . 427--427
Anonymous Contents . . . . . . . . . . . . . . . . 428--428
J. E. Bond and
J. R. Cash A block method for the numerical
integration of stiff systems of ordinary
differential equations . . . . . . . . . 429--447
D. C. St. Clair and
A. K. Rigler An algorithm for least squares analysis
of spectroscopic data . . . . . . . . . 448--456
David Elliott On the convergence of Hunter's
quadrature rule for Cauchy principal
value integrals . . . . . . . . . . . . 457--462
J. Ernvall and
O. Nevalainen Compact storage schemes for formatted
files by spanning trees . . . . . . . . 463--475
S. McKee and
N. Pitcher On the convergence of advanced linear
multistep methods . . . . . . . . . . . 476--481
Sheo Kumar On a method of Noble for second kind
Volterra integral equations . . . . . . 482--488
F. Patrício A numerical method for solving
initial-value-problems with spline
functions . . . . . . . . . . . . . . . 489--494
L. F. Shampine Evaluation of implicit formulas for the
solution of ODES . . . . . . . . . . . . 495--502
Per Grove Thomsen and
Zahari Zlatev Two-parameter families of
predictor-corrector methods for the
solution of ordinary differential
equations . . . . . . . . . . . . . . . 503--517
Å. Wikström Optimal search trees and length
restricted codes . . . . . . . . . . . . 518--524
H. C. Williams and
B. Schmid Some remarks concerning the M.I.T.
public-key cryptosystem . . . . . . . . 525--538
T. Dokken and
T. Lyche A divided difference formula for the
error in Hermite interpolation . . . . . 539--540
E. Hairer Nonlinear stability of RAT, an explicit
rational Runge--Kutta method . . . . . . 540--542
Arieh Iserles A note on Padé approximations and
generalized hypergeometric functions . . 543--545
J. M. Pollard On not storing the path of a random walk 545--548
H. V. Smith The numerical approximation of a class
of infinite integrals . . . . . . . . . 549--551
Anonymous Problems . . . . . . . . . . . . . . . . 552--553
Anonymous New Books and Journals . . . . . . . . . 554--554
Anonymous Notes . . . . . . . . . . . . . . . . . 555--556
Anonymous Acknowledgements . . . . . . . . . . . . 556--556
Anonymous Index . . . . . . . . . . . . . . . . . 557--559
Anonymous Contents . . . . . . . . . . . . . . . . 560--560
Selim G. Akl A New Algorithm for Generating
Derangements . . . . . . . . . . . . . . 2--7
W. M. Chan and
Alan George A linear time implementation of the
reverse Cuthill--McKee algorithm . . . . 8--14
Pertti Järvinen On structuring problems of job design
met in the development and maintenance
of information systems . . . . . . . . . 15--24
Per-Åke Larson Analysis of Repeated Hashing . . . . . . 25--32
W. M. G. van Bokhoven Efficient higher order implicit one-step
methods for integration of stiff
differential equations . . . . . . . . . 34--43
J. R. Cash and
D. R. Moore A high order method for the numerical
solution of two-point boundary value
problems . . . . . . . . . . . . . . . . 44--52
Suhrit K. Dey Nonlinear discretization errors in
partial difference equations . . . . . . 53--57
Eusebius J. Doedel Some stability theorems for finite
difference collocation methods on
nonuniform meshes . . . . . . . . . . . 58--66
L. Fox and
M. R. Valenca Some experiments with interval methods
for two-point boundary value problems in
ordinary differential equations . . . . 67--82
N. I. Ioakimidis and
P. S. Theocaris On convergence of two direct methods for
solution of Cauchy-type singular
integral equations of the first kind . . 83--87
Axel Ruhe The Relation Between the Jacobi
Algorithm and Inverse Iteration and a
Jacobi Algorithm Based on Elementary
Reflections . . . . . . . . . . . . . . 88--96
J. M. Sanz-Serna Some aspects of the boundary locus
method . . . . . . . . . . . . . . . . . 97--101
G. Wanner On the choice of $\gamma$ for
singly-implicit RK or Rosenbrock methods 102--106
M. M. Chawla and
C. P. Katti On Noumerov's method for computing
eigenvalues . . . . . . . . . . . . . . 107--109
A. Hadjidimos A note on the simplification of
$p$-parametric E.A.D.I. schemes for
elliptic problems of higher order . . . 110--114
A. K. Head Multiplication modulo $n$ . . . . . . . 115--116
G. M. Phillips Seventh degree integration rules for the
sphere . . . . . . . . . . . . . . . . . 117--119
H. Shniad Global error estimation for the implicit
trapezoidal rule . . . . . . . . . . . . 120--121
Sverre Storòy An Algorithm for Least Distance
Programming . . . . . . . . . . . . . . 122--123
Anonymous Problems . . . . . . . . . . . . . . . . 124--125
Anonymous New Books and Journals . . . . . . . . . 126--126
Anonymous Notes . . . . . . . . . . . . . . . . . 127--127
Anonymous Contents . . . . . . . . . . . . . . . . 128--128
Hannu Erkiö A heuristic approximation of the worst
case of Shellsort . . . . . . . . . . . 130--136
Stein Gjessing Monitors with arrays of condition
variables and proof rules handling local
quantities . . . . . . . . . . . . . . . 137--144
Juha Hakola and
Ari Heiskanen On the Distribution of Wasted Space at
the End of File Blocks . . . . . . . . . 145--156
R. Kemp A note on the stack size of regularly
distributed binary trees . . . . . . . . 157--162
Jerker Wilander An interactive programming system for
Pascal . . . . . . . . . . . . . . . . . 163--174
Richard P. Brent An improved Monte Carlo factorization
algorithm . . . . . . . . . . . . . . . 176--184
Kevin Burrage and
J. C. Butcher Nonlinear stability of a general class
of differential equation methods . . . . 185--203
Vassilios A. Dougalis and
Steven M. Serbin Some remarks on a class of rational
approximations to the cosine . . . . . . 204--211
W. D. Hoskins and
G. M. Pathan and
D. J. Walton Solution of bilinear systems arising
from high order discretizations of
Poisson-type equations . . . . . . . . . 212--214
L. Kramarz Stability of collocation methods for the
numerical solution of
$y^{\prime\prime}=f(x,\,y)$ . . . . . . 215--222
R. P. Tewarson On the use of splines for the numerical
solution of nonlinear two-point boundary
value problems . . . . . . . . . . . . . 223--232
H. H. Wang On vectorizing the fast Fourier
transform . . . . . . . . . . . . . . . 233--243
P. Degano and
G. Pacini and
F. Turini A Note on the Power of Backtracking . . 244--246
E. H. Bareiss and
J. L. Barlow Roundoff error distribution in fixed
point multiplication . . . . . . . . . . 247--250
James Caldwell An application of extrapolation to the
limit . . . . . . . . . . . . . . . . . 251--253
E. Hairer Highest possible order of algebraically
stable diagonally implicit Runge--Kutta
methods . . . . . . . . . . . . . . . . 254--256
D. P. Laurie Efficient implementation of Wilson's
algorithm for factorizing a
self-reciprocal polynomial . . . . . . . 257--259
J. Gribble A correction to: ``Further properties of
inner product quadrature formulas'' [BIT
\bf 17(4), 1977, pp. 392--408; MR \bf 58
#24873] . . . . . . . . . . . . . . . . 260--260
Anonymous Problems . . . . . . . . . . . . . . . . 261--262
Anonymous Notes . . . . . . . . . . . . . . . . . 263--263
Anonymous New Books and Journals . . . . . . . . . 263--263
Anonymous Addresses of the Authors . . . . . . . . 264--264
Stefan Arnborg A simple query language based on set
algebra . . . . . . . . . . . . . . . . 266--278
D. Julian M. Davies The fifty percent rule revisited . . . . 279--288
P. W. Hemker On the structure of an adaptive
multi-level algorithm . . . . . . . . . 289--301
Th. Ottmann and
W. Stucky Higher order analysis of random $1-2$
brother trees . . . . . . . . . . . . . 302--314
K. Burrage Non-linear stability of multivalue
multiderivative methods . . . . . . . . 315--325
K. Burrage Nonlinear stability of multivalue
multiderivative methods . . . . . . . . 316--325
K. Burrage and
J. C. Butcher and
F. H. Chipman An implementation of singly-implicit
Runge--Kutta methods . . . . . . . . . . 326--340
Michael A. Epton Methods for the solution of $AXD-BXC=E$
and its application in the numerical
solution of implicit ordinary
differential equations . . . . . . . . . 341--345
Sheo Kumar On modified increment methods of Garey
for nonlinear second kind Volterra
integral equations . . . . . . . . . . . 346--350
Herbert E. Salzer Note on trigonometric divided
differences . . . . . . . . . . . . . . 351--355
Stig Skelboe Implementation of Chebyshevian linear
multistep formulas . . . . . . . . . . . 356--366
G. Wanner Characterization of all $A$-stable
methods of order $2m-4$ . . . . . . . . 367--374
P. J. van der Houwen Convergence and stability results in
Runge--Kutta type methods for Volterra
integral equations of the second kind 375--377
G. Loizou The generalized accelerated symmetric
overrelaxation method . . . . . . . . . 378--381
D. Meek Some new linear relations for even
degree polynomial splines on a uniform
mesh . . . . . . . . . . . . . . . . . . 382--384
A. Ruffhead and
J. Oliver A characterisation of certain optimal
collocation points for numerical
differentiation . . . . . . . . . . . . 385--388
Anonymous Problems . . . . . . . . . . . . . . . . 389--390
Anonymous New Books and Journals . . . . . . . . . 391--391
Anonymous Notes . . . . . . . . . . . . . . . . . 391--391
Anonymous Addresses of the Authors . . . . . . . . 392--392
Anker Helms Jòrgensen A Methodology for Measuring the
Readability and Modifiability of
Computer Programs . . . . . . . . . . . 394--405
J. W. Lloyd Optimal partial-match retrieval . . . . 406--413
Peter Naur Impressions of the Early Days of
Programming . . . . . . . . . . . . . . 414--425
H.-W. Six and
D. Wood The rectangle intersection problem
revisited . . . . . . . . . . . . . . . 426--433
Dan Strömberg and
Peter Fritzson Transfer of Programs from Development to
Runtime Environments . . . . . . . . . . 434--442
C. Brezinski The Mühlbach--Neville--Aitken algorithm
and some extensions . . . . . . . . . . 443--451
Kevin Burrage and
Pamela Moss Simplifying assumptions for the order of
partitioned multivalue methods . . . . . 452--465
J. D. Gribble Interpolatory inner product quadrature
formulas . . . . . . . . . . . . . . . . 466--474
J. Hackl and
Hj. Wacker and
W. Zulehner An efficient step size control for
continuation methods . . . . . . . . . . 475--485
Bengt Lindberg Error estimation and iterative
improvement for discretization
algorithms . . . . . . . . . . . . . . . 486--500
José Mario Martínez Solving nonlinear simultaneous equations
with a generalization of Brent's method 501--510
M. M. Chawla and
C. P. Katti A new fourth order method for computing
eigenvalues of two-point boundary value
problems . . . . . . . . . . . . . . . . 511--514
Robert D. Girse The number of conjugacy classes of the
alternating group . . . . . . . . . . . 515--517
Tore Herlestam A note on Rabin's probabilistic
primality test . . . . . . . . . . . . . 518--521
Sukhamay Kundu A Dijkstra-like shortest path algorithm
for certain cases of negative arc
lengths . . . . . . . . . . . . . . . . 522--524
W. A. Light and
J. Forrest and
N. Hammond and
S. Roe A note on Goldbach's conjecture . . . . 525--525
G. W. Stewart The behavior of a multiplicity
independent root-finding scheme in the
presence of error . . . . . . . . . . . 526--528
Anonymous Problems . . . . . . . . . . . . . . . . 529--530
Anonymous New Books and Journals . . . . . . . . . 530--531
Anonymous Notes . . . . . . . . . . . . . . . . . 531--532
Anonymous Acknowledgements . . . . . . . . . . . . 532--532
Anonymous Index . . . . . . . . . . . . . . . . . 533--535
Anonymous Addresses of the Authors . . . . . . . . 536--536
Hannu Erkiö Speeding sort algorithms by special
instructions . . . . . . . . . . . . . . 2--19
Stephen Y. Itoga The string merging problem . . . . . . . 20--30
Donald E. Knuth Verification of link-level protocols . . 31--36
Bengt Lundberg On Consistency of Information Models . . 37--45
O. Nevalainen and
J. Ernvall and
J. Katajainen Finding minimal spanning trees in a
Euclidean coordinate space . . . . . . . 46--54
Petter E. Bjòrstad and
Germund Dahlquist and
Eric H. Grosse Extrapolation of Asymptotic Expansions
by a Modified Aitken $\delta^2$-Formula 56--65
K. Dekker Stability of linear multistep methods on
the imaginary axis . . . . . . . . . . . 66--79
A. Iserles Two-step numerical methods for parabolic
differential equations . . . . . . . . . 80--96
Andrzej Kie\lbasi\'nski Iterative refinement for linear systems
in variable-precision arithmetic . . . . 97--103
E. V. Krishnamurthy and
H. Venkateswaran A parallel Wilf algorithm for complex
zeros of a polynomial . . . . . . . . . 104--111
Jeffrey M. Lane and
R. F. Riesenfeld Bounds on a polynomial . . . . . . . . . 112--117
Jan Bohman and
Carl-Erik Fröberg Numerical investigation of Waring's
problem for cubes . . . . . . . . . . . 118--122
Sheo Kumar A recurrence relation for solution of
singular Volterra integral equations
using Chebyshev polynomials . . . . . . 123--125
G. M. Phillips Seventh degree integration rules for
${\bf R}^3$ . . . . . . . . . . . . . . 126--128
D. B. Popovski A note on King's fifth-order family of
methods for solving equations . . . . . 129--130
Wen Da Wu Neville type extrapolation scheme for a
special expansion . . . . . . . . . . . 131--135
Anonymous Problems . . . . . . . . . . . . . . . . 136--137
Anonymous New Books and Journals . . . . . . . . . 138--138
Anonymous Notes . . . . . . . . . . . . . . . . . 139--139
Anonymous Addresses of the Authors . . . . . . . . 140--140
Harvey K. Brock and
Barbara J. Brooks and
Francis Sullivan Diamond: a sorting method for vector
machines . . . . . . . . . . . . . . . . 142--152
T. I. Fenner and
G. Loizou A Note on Traversal Algorithms for
Triply Linked Binary Trees . . . . . . . 153--156
Jin Kue Wong Some Simple In-Place Merging Algorithms 157--166
T. D. Bui and
S. W. H. Poon On the computational aspects of
Rosenbrock procedures with built-in
error estimates for stiff systems . . . 168--174
J. C. Butcher A generalization of singly-implicit
methods . . . . . . . . . . . . . . . . 175--189
M. M. Chawla Two-step fourth order $P$-stable methods
for second order differential equations 190--193
R. T. Gregory Error-free computation with rational
numbers . . . . . . . . . . . . . . . . 194--202
Eldon Hansen and
Saumyendra Sengupta Bounding solutions of systems of
equations using interval analysis . . . 203--211
D. F. Paget A quadrature rule for finite-part
integrals . . . . . . . . . . . . . . . 212--220
Stig Skelboe and
Brian Christensen Backward differentiation formulas with
extended regions of absolute stability 221--231
P. H. M. Wolkenfelt Reducible quadrature methods for
Volterra integral equations of the first
kind . . . . . . . . . . . . . . . . . . 232--241
Anonymous Problems . . . . . . . . . . . . . . . . 242--243
Anonymous New Books and Journals . . . . . . . . . 243--243
Anonymous Addresses of the Authors . . . . . . . . 244--244
Ph. Darondeau and
P. Le Guernic and
M. Raynal Types in a mixed language system . . . . 246--254
Ernst-Erich Doberkat Inserting a new element into a heap . . 255--269
Bent Bruun Kristensen and
Ole Lehrmann Madsen Diagnostics on ${\rm LALR}(k)$ conflicts
based on a method for ${\rm LR}(k)$
testing . . . . . . . . . . . . . . . . 270--293
C. M. Lam and
K. T. Fung An Quadratic Programming Model for
Optimal Data Distribution . . . . . . . 294--304
Renzo Sprugnoli On the allocation of binary trees to
secondary storage . . . . . . . . . . . 305--316
Charles M. Elliott and
Sean McKee On the numerical solution of an
integro-differential equation arising
from wave-power hydraulics . . . . . . . 317--325
Tore Herlestam and
Rolf Johannesson On computing logarithms over ${\rm
GF}(2^p)$ . . . . . . . . . . . . . . . 326--334
N. G. Kazakova and
D. D. Ba\uìnov Convergence of finite difference methods
for the initial value problem for
functional-differential equations of
neutral type . . . . . . . . . . . . . . 335--341
P. Neittaanmäki and
J. Saranen A mixed finite element method for the
heat flow problem . . . . . . . . . . . 342--346
Norbert Schneider Results about monotone convergence of
Steffensen-like-methods . . . . . . . . 347--354
J. G. Verwer On the practical value of the notion of
$BN$-stability . . . . . . . . . . . . . 355--361
G. A. Watson Globally convergent methods for
semi-infinite programming . . . . . . . 362--373
Charles J. Colbourn and
Marlene J. Colbourn Deciding Hadamard equivalence of
Hadamard matrices . . . . . . . . . . . 374--376
Apostolos Gerasoulis On the existence of approximate
solutions for singular integral
equations of Cauchy type discretized by
Gauss--Chebyshev quadrature formulae . . 377--380
A. C. R. Newbery A consistency test for interpolators . . 381--384
Anonymous Problems . . . . . . . . . . . . . . . . 385--386
Anonymous New books and journals . . . . . . . . . 386--386
Anonymous Notes . . . . . . . . . . . . . . . . . 387--387
Anonymous Addresses of the Authors . . . . . . . . 388--388
James K. Mullin Tightly Controlled Linear Hashing
without Separate Overflow Storage . . . 390--400
Mohamed Ouksel and
Peter Scheuermann Multidimensional $B$-trees: Analysis of
Dynamic Behavior . . . . . . . . . . . . 401--418
Markku Tamminen Order Preserving Extendible Hashing and
Bucket Tries . . . . . . . . . . . . . . 419--435
Peter J. L. Wallis Some primitives for the portable
programming of array and vector
processors . . . . . . . . . . . . . . . 436--448
J. R. Cash A note on the exponential fitting of
blended, extended linear multistep
methods . . . . . . . . . . . . . . . . 450--454
M. M. Chawla and
S. R. Sharma Intervals of periodicity and absolute
stability of explicit Nyström methods for
$y^{\prime\prime}=f(x,\,y)$ . . . . . . 455--464
Tore Håvie Remarks on a unified theory for
classical and generalized interpolation
and extrapolation . . . . . . . . . . . 465--474
D. S. Scott Solving sparse symmetric definite
quadratic $\lambda$-matrix problems . . 475--480
H. V. Smith Global error bounds for
Gauss--Gegenbauer quadrature . . . . . . 481--490
G. Sottas Quadrature formulas with positive
weights . . . . . . . . . . . . . . . . 491--504
W. P. Tang and
G. H. Golub The Block Decomposition of a Vandermonde
Matrix and Its Applications . . . . . . 505--517
E. H. Twizell and
A. Q. M. Khaliq One-step multiderivative methods for
first order ordinary differential
equations . . . . . . . . . . . . . . . 518--527
E. V. Krishnamurthy and
H. Venkateswaran Errata: ``A parallel Wilf algorithm for
complex zeros of a polynomial'' [BIT \bf
21(1), 1981, pp. 104--111] . . . . . . . 528--528
Anonymous Problems . . . . . . . . . . . . . . . . 529--530
Anonymous New Books and Journals . . . . . . . . . 530--530
Anonymous Notes . . . . . . . . . . . . . . . . . 531--531
Anonymous Acknowledgements . . . . . . . . . . . . 532--532
Anonymous Index . . . . . . . . . . . . . . . . . 533--535
Anonymous Addresses of the Authors . . . . . . . . 536--536
Da Shing Yeh Improved planarity algorithms . . . . . 2--16
Jainendra Navlakha A new proof technique to establish
equivalence of the original and the
generated $\lambda$-free CFG with linear
increase in size . . . . . . . . . . . . 17--26
Markku Tamminen The extendible cell method for closest
point problems . . . . . . . . . . . . . 27--41
Rodney W. Topor Fundamental solutions of the eight
queens problem . . . . . . . . . . . . . 42--52
Stefan Ljung and
Lennart Ljung Fast numerical solution of Fredholm
integral equations with stationary
kernels . . . . . . . . . . . . . . . . 54--72
M. Madalena Martins Generalized diagonal dominance in
connection with the accelerated
overrelaxation (AOR) method . . . . . . 73--78
R. M. M. Mattheij Stable computation of solutions of
unstable linear initial value recursions 79--93
Peter R. Nelson An approximation for the complex normal
probability integral . . . . . . . . . . 94--100
Heinz-Joachim Rack and
Manfred Reimer The numerical stability of evaluation
schemes for polynomials based on the
Lagrange interpolation form . . . . . . 101--107
T. J. Ypma Affine invariant convergence results for
Newton's method . . . . . . . . . . . . 108--118
Charles B. Dunham Biased rational Chebyshev approximation 119--122
C. Lazos A Note on the CPU Usage of a Computer
System with Many I/O Channels . . . . . 123--124
Anonymous Problems . . . . . . . . . . . . . . . . 125--126
Anonymous New books and journals . . . . . . . . . 126--126
Anonymous Notes . . . . . . . . . . . . . . . . . 127--127
Anonymous Addresses of the Authors . . . . . . . . 128--128
Selim G. Akl A constant-time parallel algorithm for
computing convex hulls . . . . . . . . . 130--134
D. C. S. Allison and
M. T. Noga USORT: an efficient hybrid of
distributive partitioning sorting . . . 135--139
Robert W. Gunderson Choosing the $r$-dimension for the FCV
family of clustering algorithms . . . . 140--149
John W. Lloyd and
K. Ramamohanarao Partial-match retrieval for dynamic
files . . . . . . . . . . . . . . . . . 150--168
Mary Lou Soffa Control discipline necessity: making the
language as general as the
implementation . . . . . . . . . . . . . 169--182
J. R. Cash and
A. Singhal High order methods for the numerical
solution of two-point boundary value
problems . . . . . . . . . . . . . . . . 183--199
Apostolos Gerasoulis Singular integral equations --- the
convergence of the Nyström interpolant of
the Gauss--Chebyshev method . . . . . . 200--210
E. Hairer and
G. Bader and
Ch. Lubich On the stability of semi-implicit
methods for ordinary differential
equations . . . . . . . . . . . . . . . 211--232
L. B. Rall Solution of finite systems of equations
by interval iteration . . . . . . . . . 233--251
Andreas Griewank A short proof of the Dennis--Schnabel
theorem . . . . . . . . . . . . . . . . 252--256
K. M. Mjelde Incremental allocation of a discrete and
convex resource to concave activities 257--260
Riaz A. Usmani and
Manabu Sakai A note on quadratic spline interpolation
at mid-points . . . . . . . . . . . . . 261--267
Anonymous Problems . . . . . . . . . . . . . . . . 268--269
Anonymous New Books and Journals . . . . . . . . . 270--270
Anonymous Notes . . . . . . . . . . . . . . . . . 271--271
Anonymous Addresses of the Authors . . . . . . . . 272--272
H. Edelsbrunner and
H. A. Maurer and
F. P. Preparata and
A. L. Rosenberg and
E. Welzl and
D. Wood Stabbing line segments . . . . . . . . . 274--281
Michael A. Langston Improved $0/1$-Interchange Scheduling 282--290
Bengt Lundberg An axiomatization of events . . . . . . 291--299
A. Perko On the path representation of networks 300--302
Eljas Soisalon-Soininen Translations on a subclass of ${\rm
LR}(k)$ grammars . . . . . . . . . . . . 303--312
S. McKee and
N. Pitcher Two-sided error bounds for
discretisation methods in ordinary
differential equations . . . . . . . . . 314--330
Edward Neuman Convex interpolating splines of
arbitrary degree. II . . . . . . . . . . 331--338
G. Sottas and
G. Wanner The number of positive weights of a
quadrature formula . . . . . . . . . . . 339--352
R. P. Tewarson and
S. Gupta Improving the accuracy of finite
difference methods for solving boundary
value ordinary differential equations 353--360
Arne Wolfbrandt Dynamic adaptive selection of
integration algorithms when solving ODEs 361--367
T. J. Ypma Following paths through turning points 368--383
F. Costabile and
C. Costabile Two-step fourth order $P$-stable methods
for second order differential equations 384--386
Walter Gautschi Polynomials orthogonal with respect to
the reciprocal gamma function . . . . . 387--389
D. Daniel Sathiaraj and
R. Sankar The method of successive updated
iterated defect correction and its
application to second kind Volterra
integral equations . . . . . . . . . . . 390--394
H. V. Smith Global error bounds for the
Clenshaw--Curtis quadrature formula . . 395--398
Anonymous Problems . . . . . . . . . . . . . . . . 399--400
Anonymous New Books and Journals . . . . . . . . . 400--400
Bjòrn Kirkerud Completeness of Hoare-calculi revisited 401--418
Mats Löfgren and
Boris Magnusson Access mechanisms in block structured
environments . . . . . . . . . . . . . . 419--436
Peter Naur Formalization in program development . . 437--453
Mai Thanh and
T. D. Bui An improvement of the binary merge
algorithm . . . . . . . . . . . . . . . 454--462
Theodore A. Bickart $P$-stable and $P[\alpha,\beta]$-stable
integration/interpolation methods in the
solution of retarded
differential-difference equations . . . 463--476
Wolfgang Bunse Blending product-type quadrature rules 477--486
Lars Eldén A weighted pseudoinverse, generalized
singular values, and constrained least
squares problems . . . . . . . . . . . . 487--502
Boles\law Kacewicz On the optimal error of algorithms for
solving a scalar autonomous ODE . . . . 503--518
Gunhild Lindskog The continued fraction methods for the
solution of systems of linear equations 519--527
J. C. Butcher A short proof concerning $B$-stability 528--529
T. H. Charles Chen An upper bound for the Gauss--Legendre
quadrature error for analytic functions 530--532
P. Van der Cruyssen Nonhomogeneous recursions and
generalised continued fractions . . . . 533--537
S. Weintraub A prime gap of $682$ and a prime
arithmetic sequence . . . . . . . . . . 538--538
Anonymous Problems . . . . . . . . . . . . . . . . 539--539
Anonymous New Books and Journals . . . . . . . . . 540--541
Anonymous Notes . . . . . . . . . . . . . . . . . 540--541
Anonymous Acknowledgements . . . . . . . . . . . . 542--542
Anonymous Index 1982 . . . . . . . . . . . . . . . 543--544
Jyrki Katajainen On the worst case of a minimal spanning
tree algorithm for Euclidean space . . . 1--8
Peter Kornerup and
R. T. Gregory Mapping integers and Hensel codes onto
Farey fractions . . . . . . . . . . . . 9--20
Franco Turini Abstractions of Control Environments . . 21--35
Da Shing Yeh On incremental shift-reduce parsing . . 36--48
G. Avdelas and
S. Galanis and
A. Hadjidimos On the optimization of a class of second
order iterative schemes . . . . . . . . 50--64
Itshak Borosh and
Harald Niederreiter Optimal multipliers for pseudorandom
number generation by the linear
congruential method . . . . . . . . . . 65--74
P. C. Chakravarti and
M. S. Kamel Stiffly stable second derivative
multistep methods with higher order and
improved stability regions . . . . . . . 75--83
M. Crouzeix and
W. H. Hundsdorfer and
M. N. Spijker On the existence of solutions to the
algebraic equations in implicit
Runge--Kutta methods . . . . . . . . . . 84--91
N. I. Ioakimidis A natural interpolation formula for the
numerical solution of singular integral
equations with Hilbert kernel . . . . . 92--104
S. L. Loi and
A. W. McInnes An algorithm for generalized rational
interpolation . . . . . . . . . . . . . 105--117
Tian Min Han Numerical small parameter method for
stiff ODE:s . . . . . . . . . . . . . . 118--131
Michael R. Leuze A hybrid Laguerre method . . . . . . . . 132--138
Philip Rabinowitz On an osculatory quadrature formula . . 139--140
Anonymous Problems . . . . . . . . . . . . . . . . 141--142
Anonymous Erratum . . . . . . . . . . . . . . . . 142--142
Anonymous Notes . . . . . . . . . . . . . . . . . 143--144
Gunner Helweg Johansen and
Chr. Gram A simple algorithm for building the $3$D
convex hull . . . . . . . . . . . . . . 145--160
Stephen Y. Itoga A probabilistic version of the stable
marriage problem . . . . . . . . . . . . 161--169
J. A. Orenstein and
T. H. Merrett and
L. Devroye Linear sorting with $O({\rm log}\,n)$
processors . . . . . . . . . . . . . . . 170--180
Esko Ukkonen Exponential lower bounds for some
NP-complete problems in a restricted
linear decision tree model . . . . . . . 181--192
David J. Evans and
Elias A. Lipitakis Implicit semi-direct methods based on
root-free sparse factorization
procedures . . . . . . . . . . . . . . . 193--208
David J. Evans and
Elias A. Lipitakis Implicit semidirect methods based on
root-free sparse factorization
procedures . . . . . . . . . . . . . . . 194--208
Walter Gautschi How and how not to check Gaussian
quadrature formulae . . . . . . . . . . 209--216
Boles\law Kacewicz Optimality of Euler-integral information
for solving a scalar autonomous ODE . . 217--230
William J. Layton The finite element method for a
degenerate hyperbolic partial
differential equation . . . . . . . . . 231--238
D. Daniel Sathiaraj and
R. Sankar The method of successive extrapolated
iterated defect correction and its
application to second kind Fredholm's
integral equations . . . . . . . . . . . 239--247
K. Zi\ketak The $l_p$-solution of the nonlinear
matrix equation $XY=A$ . . . . . . . . . 248--257
D. P. Laurie Sharper error estimates in adaptive
quadrature . . . . . . . . . . . . . . . 258--261
Rudolf Scherer and
Helmut Türke Reflected and transposed Runge--Kutta
methods . . . . . . . . . . . . . . . . 262--266
Stein W. Wallace On degeneracy in enumeration . . . . . . 267--270
Anonymous Problems . . . . . . . . . . . . . . . . 271--272
Anonymous Books Received . . . . . . . . . . . . . 272--272
S. McKee and
N. Pitcher Erratum: ``Two-sided error bounds for
discretisation methods in ordinary
differential equations'' [BIT \bf 22(3),
1982, pp. 314--330] . . . . . . . . . . 272--272
Walter A. Burkhard Interpolation-based index maintenance 274--294
M. C. Er An iterative solution to the generalized
Towers of Hanoi problem . . . . . . . . 295--302
H. Legind Larsen Generalized double modulo $11$ check
digit error detection . . . . . . . . . 303--307
Da Shing Yeh On incremental evaluation of ordered
attributed grammars . . . . . . . . . . 308--320
S. Amini Stability analysis of methods employing
reducible rules for Volterra integral
equations . . . . . . . . . . . . . . . 322--328
Åke Björck A block $QR$ algorithm for partitioning
stiff differential systems . . . . . . . 329--345
Seppo Linnainmaa Error linearization as an effective tool
for experimental analysis of the
numerical stability of algorithms . . . 346--359
F. Patrício A class of hybrid formulae for the
numerical integration of stiff systems 360--369
Robert Piessens and
Maria Branders Modified Clenshaw--Curtis method for the
computation of Bessel function integrals 370--381
R. P. Tewarson and
N. S. Huslak An adaptive implementation of
interpolation methods for boundary value
ordinary differential equations . . . . 382--387
Reiner Vanselow Nonlinear stability behaviour of linear
multistep methods . . . . . . . . . . . 388--396
M. M. Chawla and
C. P. Katti Addendum: ``A new fourth order method
for computing eigenvalues of two-point
boundary value problems'' [BIT \bf
20(4), 1980, pp. 511--514; MR 82e:65084] 397--398
Manabu Sakai and
Riaz A. Usmani Some new consistency relations
connecting spline values and integrals
of the spline . . . . . . . . . . . . . 399--402
Sverre Storòy Ranking of vertices in the linear
fractional programming problem . . . . . 403--405
Anonymous Problems . . . . . . . . . . . . . . . . 406--407
Anonymous New Books and Journals . . . . . . . . . 407--407
Anonymous Notes . . . . . . . . . . . . . . . . . 408--408
V. S. Alagar and
T. D. Bui and
Mai Thanh Efficient algorithms for merging . . . . 409--428
M. C. Er An analysis of the generalized Towers of
Hanoi problem . . . . . . . . . . . . . 429--435
Shou Hsuan Huang and
C. K. Wong Binary search trees with limited
rotation . . . . . . . . . . . . . . . . 436--455
T. M. Nicholl and
D. T. Lee and
Y. Z. Liao and
C. K. Wong On the $X$-$Y$ convex hull of a set of
$X$-$Y$ polygons . . . . . . . . . . . . 456--471
Vasudevan Raman and
S. Sitharama Iyengar Properties and Applications of Forests
of Quadtrees for Pictorial Data
Representation . . . . . . . . . . . . . 472--486
Catterina Dagnino Extended product integration rules . . . 487--499
Per Lötstedt Perturbation bounds for the linear least
squares problem subject to linear
inequality constraints . . . . . . . . . 500--519
Meng Zhao Qin Stability of difference schemes for a
class of partial differential equations 520--528
K. M. Mjelde Max-min resource allocation . . . . . . 529--537
J. M. Borwein and
P. B. Borwein A very rapidly convergent product
expansion for $\pi$ . . . . . . . . . . 538--540
M. M. Chawla Unconditionally stable Noumerov-type
methods for second order differential
equations . . . . . . . . . . . . . . . 541--542
Manabu Sakai Some new consistency relations
connecting spline values at mesh and mid
points . . . . . . . . . . . . . . . . . 543--546
S. Weintraub Erratum: ``A prime gap of $682$ and a
prime arithmetic sequence'' [BIT 22(4),
1982, pp. 538; MR 84b:10014] . . . . . . 546--546
Anonymous Problems . . . . . . . . . . . . . . . . 547--548
Anonymous Notes . . . . . . . . . . . . . . . . . 549--549
Anonymous Acknowledgements . . . . . . . . . . . . 550--550
Anonymous Index 1983 . . . . . . . . . . . . . . . 551--552
D. C. S. Allison and
M. T. Noga Some performance tests of convex hull
algorithms . . . . . . . . . . . . . . . 2--13
Svante Carlsson Improving worst-case behavior of heaps 14--18
J. Ernvall and
O. Nevalainen Estimating the length of minimal
spanning trees in compression of files 19--32
T. I. Fenner and
G. Loizou Loop-free algorithms for traversing
binary trees . . . . . . . . . . . . . . 33--44
W. J. Hsu and
M. W. Du Computing a longest common subsequence
for a set of strings . . . . . . . . . . 45--59
J. P. Malmquist and
E. L. Robertson On the complexity of partitioning sparse
matrix representations . . . . . . . . . 60--68
G. E. Bell and
G. M. Phillips Aitken acceleration of some alternating
series . . . . . . . . . . . . . . . . . 70--77
J. Chen and
L. W. Johnson and
R. D. Riess An algorithm for Gauss harmonic formulas 78--84
R. D. Grigorieff and
P. J. Paes-Leme On the zero-stability of the $3$-step
BDF-formula on nonuniform grids . . . . 85--91
Peter Linz Uncertainty in the solution of linear
operator equations . . . . . . . . . . . 92--101
M. Neumann and
R. J. Plemmons Backward error analysis for linear
systems associated with inverses of
$H$-matrices . . . . . . . . . . . . . . 102--112
Jan Bohman and
Carl-Erik Fröberg On numerical computation of singular
integrals . . . . . . . . . . . . . . . 113--116
M. M. Chawla Numerov made explicit has better
stability . . . . . . . . . . . . . . . 117--118
Jainendra K. Navlakha An analytical technique for
$3$-dimensional interpolation . . . . . 119--122
Alicja Smoktunowicz and
Jolanta Sokolnicka Binary cascades iterative refinement in
doubled-mantissa arithmetics . . . . . . 123--127
Anonymous Problems . . . . . . . . . . . . . . . . 128--130
Anonymous New Books and Journals . . . . . . . . . 131--131
Anonymous Notes . . . . . . . . . . . . . . . . . 132--132
Ratan K. Ghosh and
G. P. Bhattacharjee A parallel search algorithm for directed
acyclic graphs . . . . . . . . . . . . . 133--150
Arne Maus Delaunay triangulation and the convex
hull of $n$ points in expected linear
time . . . . . . . . . . . . . . . . . . 151--163
Erkki Mäkinen On context-free and Szilard languages 164--170
Timo Niemi Specification of a query language by the
attribute method . . . . . . . . . . . . 171--186
S. S. Tseng and
R. C. T. Lee A new parallel sorting algorithm based
upon min-mid-max operations . . . . . . 187--195
Shmuel Zaks A new algorithm for generation of
permutations . . . . . . . . . . . . . . 196--204
Per Lötstedt Solving the minimal least squares
problem subject to bounds on the
variables . . . . . . . . . . . . . . . 205--224
R. M. Thomas Phase properties of high order, almost
$P$-stable formulae . . . . . . . . . . 225--238
Jarle Berntsen and
Terje O. Espelid On the use of Gauss quadrature in
adaptive automatic integration schemes 239--242
Duncan A. Buell and
Richard H. Hudson On runs of consecutive quadratic
residues and quadratic nonresidues . . . 243--247
J. R. Cash Efficient $P$-stable methods for
periodic initial value problems . . . . 248--252
H. V. Smith The numerical approximation of a class
of finite integrals . . . . . . . . . . 253--256
Anonymous Problems . . . . . . . . . . . . . . . . 257--258
Anonymous New Books and Journals . . . . . . . . . 259--259
Anonymous Notes . . . . . . . . . . . . . . . . . 260--260
Mee Yee Chan Multidisk file design: An analysis of
folding buckets to disks . . . . . . . . 262--268
R. C. Chang and
R. C. T. Lee On the average length of Delaunay
triangulations . . . . . . . . . . . . . 269--273
P. Gupta and
G. P. Bhattacharjee A parallel selection algorithm . . . . . 274--287
Bengt Nordström and
Jan Smith Propositions and specifications of
programs in Martin-Löf's type theory . . 288--301
G. M. Prabhu and
Narsingh Deo On the power of a perturbation for
testing nonisomorphism of graphs . . . . 302--307
S. S. Tseng and
R. C. T. Lee A parallel algorithm to solve the stable
marriage problem . . . . . . . . . . . . 308--316
Aimo A. Torn Hashing With Overflow Indexing . . . . . 317--332
D. Y. Yeh and
D. T. Lee Graph algorithms on a tree-structured
parallel computer . . . . . . . . . . . 333--340
Ravi P. Agarwal and
Ramesh C. Gupta On the solution of Holt's problem . . . 341--346
K. Dekker Error bounds for the solution to the
algebraic equations in Runge--Kutta
methods . . . . . . . . . . . . . . . . 347--356
N. M. Missirlis The extrapolated first order method for
solving systems with complex eigenvalues 357--365
A. Neumaier An interval version of the secant method 366--372
P. H. Sammon and
P. Forsyth, Jr. Instability in Runge--Kutta schemes for
simulation of oil recovery . . . . . . . 373--379
Georg Brügner Three-triangle-tangram . . . . . . . . . 380--382
Ernst Hairer A note on $D$-stability . . . . . . . . 383--386
Shou Hsuan Stephen Huang and
C. K. Wong Average number of rotations and access
cost in $iR$-trees . . . . . . . . . . . 387--390
Gustaf Söderlind An error bound for fixed-point
iterations . . . . . . . . . . . . . . . 391--393
T. J. Ypma Linear stability of stiff differential
equation solvers . . . . . . . . . . . . 394--396
Anonymous Problems . . . . . . . . . . . . . . . . 397--400
Anonymous Books Received . . . . . . . . . . . . . 400--400
Anonymous Erratum . . . . . . . . . . . . . . . . 400--400
Anonymous Notes . . . . . . . . . . . . . . . . . 400--400
J. R. Cash Erratum: ``Efficient $P$-stable methods
for periodic initial value problems''
[BIT 24(2), 1984, pp. 248--252] . . . . 400--400
R. S. Anderssen and
F. R. de Hoog On the correction of finite difference
eigenvalue approximations for
Sturm--Liouville problems with general
boundary conditions . . . . . . . . . . 401--412
O. Axelsson Error estimates over infinite intervals
of some discretizations of evolution
equations . . . . . . . . . . . . . . . 413--424
J. C. Butcher An application of the Runge--Kutta space 425--440
George Cybenko The numerical stability of the lattice
algorithm for least squares linear
prediction problems . . . . . . . . . . 441--455
P. Deuflhard Computation of periodic solutions of
nonlinear ODEs . . . . . . . . . . . . . 456--466
Lars Eldén A note on the computation of the
generalized cross-validation function
for ill-conditioned least squares
problems . . . . . . . . . . . . . . . . 467--472
Walter Gautschi On some orthogonal polynomials of
interest in theoretical chemistry . . . 473--483
C. W. Gear and
D. R. Wells Multirate linear multistep methods . . . 484--502
A. A. Goldstein A note on the complexity of an algorithm
for Chebyshev approximation . . . . . . 503--509
Sven-Åke Gustafson On the stability of a class of
convergence acceleration methods for
power series . . . . . . . . . . . . . . 510--519
E. Hairer and
H. Türke The equivalence of $B$-stability and
$A$-stability . . . . . . . . . . . . . 520--528
Arieh Iserles and
Syvert P. Nòrsett A proof of the first Dahlquist barrier
by order stars . . . . . . . . . . . . . 529--537
Rolf Jeltsch and
Olavi Nevanlinna Dahlquist's first barrier for multistage
multistep formulas . . . . . . . . . . . 538--555
Göran Kjellberg Two observations on Durand--Kerner's
root-finding method . . . . . . . . . . 556--559
H. O. Kreiss Central difference schemes and stiff
boundary value problems . . . . . . . . 560--567
Bo Kågström The generalized singular value
decomposition and the general
$(A-\lambda B)$-problem . . . . . . . . 568--583
Randall J. LeVeque and
Lloyd N. Trefethen On the resolvent condition in the Kreiss
Matrix Theorem . . . . . . . . . . . . . 584--591
Werner Liniger On factored discretizations of the
Laplacian for the fast solution of
Poisson's equation on general regions 592--608
R. M. M. Mattheij and
R. E. O'Malley, Jr. On solving boundary value problems for
multiscale systems using asymptotic
approximations and multiple-shooting . . 609--622
Gérard Meurant The block preconditioned conjugate
gradient method on vector computers . . 623--633
Syvert P. Nòrsett and
Per G. Thomsen Embedded SDIRK-methods of basic order
three . . . . . . . . . . . . . . . . . 634--646
Lothar Reichel An asymptotically orthonormal polynomial
family . . . . . . . . . . . . . . . . . 647--655
M. N. Spijker On the relation between stability and
contractivity . . . . . . . . . . . . . 656--666
Gustaf Söderlind On nonlinear difference and differential
equations . . . . . . . . . . . . . . . 667--680
P. Van Dooren Deadbeat control: a special inverse
eigenvalue problem . . . . . . . . . . . 681--699
Zahari Zlatev Application of predictor-corrector
schemes with several correctors in
solving air pollution problems . . . . . 700--715
Stefan Arnborg Efficient algorithms for combinatorial
problems on graphs with bounded
decomposability --- a survey . . . . . . 1--23
Ole Emmanuel Franksen The nature of data --- From measurements
to systems . . . . . . . . . . . . . . . 24--50
Rolf Nossum Automated theorem proving methods . . . 51--64
Martti Tienari Computer Networking of Nordic
Universities . . . . . . . . . . . . . . 65--69
T. D. Bui and
Mai Thanh Significant improvements to the
Ford-Johnson algorithm for sorting . . . 70--75
Bernard Chazelle and
Leo J. Guibas and
D. T. Lee The power of geometric duality . . . . . 76--90
Ola-Olu A. Daini A language-driven generalized numerical
database translator . . . . . . . . . . 91--105
D. J. Evans and
Nadia Y. Yousif Analysis of the performance of the
parallel quicksort method . . . . . . . 106--112
Philippe Flajolet Approximate counting: a detailed
analysis . . . . . . . . . . . . . . . . 113--134
Markku Tamminen On Search by Address Computation . . . . 135--147
W. P. Yang and
M. W. Du A Backtracking Method for Constructing
Perfect Hash Functions from a Set of
Mapping Functions . . . . . . . . . . . 148--164
O. Axelsson A survey of preconditioned iterative
methods for linear systems of algebraic
equations . . . . . . . . . . . . . . . 165--187
Germund Dahlquist $33$ years of numerical instability. I 188--204
Hans Riesel Modern factorization methods . . . . . . 205--222
Giovanni Di Lena and
Roberto I. Peluso On conditions for the existence and
uniqueness of solutions to the algebraic
equations in Runge--Kutta methods . . . 223--232
Suchitra Gupta Multiderivative Runge--Kutta processes
for two-point boundary value problems 233--241
N. I. Ioakimidis and
E. G. Anastasselou A simple quadrature-type method for the
computation of real zeros of analytic
functions in finite intervals . . . . . 242--249
M. K. Jain Fifth order implicit multipoint method
for solving equations . . . . . . . . . 250--255
A. Neumaier Interval iteration for zeros of systems
of equations . . . . . . . . . . . . . . 256--273
Stein W. Wallace Pivoting rules and redundancy schemes in
extreme point enumeration . . . . . . . 274--280
S. Amini Stability analysis of methods employing
reducible rules for Volterra integral
equations of the first kind . . . . . . 281--284
Kees Dekker and
Ernst Hairer A necessary condition for ${\rm
BSI}$-stability . . . . . . . . . . . . 285--288
Jarmo Ernvall and
Jyrki Katajainen and
Martti Penttonen NP-completeness of the Hamming salesman
problem . . . . . . . . . . . . . . . . 289--292
Erkki Mäkinen A note on depth-first derivations . . . 293--296
M. Reimer All symmetric interpolatory
block-implicit methods of order less
than six are $A$-stable . . . . . . . . 297--298
Anonymous Problems . . . . . . . . . . . . . . . . 299--300
Anonymous Books Received . . . . . . . . . . . . . 300--300
Ivan E. Auger and
M. S. Krishnamoorthy A parallel algorithm for the monadic
unification problem . . . . . . . . . . 302--306
N. D. Francis and
D. I. Fleming Optimum allocation of places to students
in a national university system . . . . 307--317
Stein Krogdahl Multiple Inheritance in Simula-like
Languages . . . . . . . . . . . . . . . 318--326
Alberto Pettorossi Towers of Hanoi problems: deriving
iterative solutions by program
transformations . . . . . . . . . . . . 327--334
Mireille Regnier Analysis of Grid File Algorithms . . . . 335--357
Lars-Erik Thorelli A language for linking modules into
systems . . . . . . . . . . . . . . . . 358--378
E. J. van Asselt On $M$-functions and nonlinear
relaxation methods . . . . . . . . . . . 380--385
G. J. Cooper Algebraic stability and the existence of
solutions of implicit Runge--Kutta
equations . . . . . . . . . . . . . . . 386--390
Jòrgen Sand $A_0$-contractivity of the variable-step
BDFs of order less than four . . . . . . 391--398
Claus Schneider Generalized singly-implicit Runge--Kutta
methods with arbitrary knots . . . . . . 399--412
Ezio Venturino Error bounds of the Galerkin method for
singular integral equations of the
second kind . . . . . . . . . . . . . . 413--419
Shimshon Berkovits and
Joel E. Sachs Analysis of the Herlestam and
Johannesson discrete logarithm scheme in
${\rm GF}(2^n)$ for large $n^1$ . . . . 420--424
M. R. Valença Multiple shooting using interval
analysis . . . . . . . . . . . . . . . . 425--427
Anonymous Problems . . . . . . . . . . . . . . . . 428--430
Anonymous New Books and Journals . . . . . . . . . 431--431
Anonymous Notes . . . . . . . . . . . . . . . . . 432--432
T. I. Fenner and
A. M. Frieze An algorithm for finding a matroid basis
which maximizes the product of the
weights of the elements . . . . . . . . 433--438
Kai Koskimies A note on one-pass evaluation of
attribute grammars . . . . . . . . . . . 439--450
M. T. Noga and
D. C. S. Allison Sorting in linear expected time . . . . 451--465
Otto Nurmi A fast line-sweep algorithm for hidden
line elimination . . . . . . . . . . . . 466--472
Michael J. Quinn A note on two parallel algorithms to
solve the stable marriage problem . . . 473--476
K. Ramamohanarao and
R. Sacks-Davis Partial Match Retrieval Using Recursive
Linear Hashing . . . . . . . . . . . . . 477--484
Pawel Winter Generalized Steiner problem in
outerplanar networks . . . . . . . . . . 485--496
U. Anantha Krishnaiah $E$-stable methods for exponentially
decreasing solutions of second order
initial value problems . . . . . . . . . 497--506
J. L. Barlow Stability analysis of the $G$-algorithm
and a note on its application to sparse
least squares problems . . . . . . . . . 507--520
J. C. Butcher The nonexistence of ten-stage eighth
order explicit Runge--Kutta methods . . 521--540
O. Ersoy Representation of real discrete Fourier
transform in terms of a new set of
functions based upon Möbius inversion . . 541--556
Anonymous Problems . . . . . . . . . . . . . . . . 557--559
Anonymous Notes . . . . . . . . . . . . . . . . . 560--560
Anonymous New Books and Journals . . . . . . . . . 560--560
A. C. Armenakis and
L. E. Garey and
R. D. Gupta An adaptation of a root finding method
to searching ordered disk files . . . . 561--568
Klaus Hinrichs Implementation of the grid file: design
concepts and experience . . . . . . . . 569--592
Matti Jakobsson Compression of Character Strings by an
Adaptive Dictionary . . . . . . . . . . 593--603
Erkki Mäkinen On permutative grammars generating
context-free languages . . . . . . . . . 604--610
Martti Penttonen and
Jyrki Katajainen Notes on the complexity of sorting in
abstract machines . . . . . . . . . . . 611--622
Jennifer Dixon On the order of the error in
discretization methods for weakly
singular second kind Volterra integral
equations with nonsmooth solutions . . . 623--634
M. Jankowski and
H. Wo\'zniakowski The accurate solution of certain
continuous problems using only single
precision arithmetic . . . . . . . . . . 635--651
J. F. B. M. Kraaijevanger $B$-convergence of the implicit midpoint
rule and the trapezoidal rule . . . . . 652--666
Bernard Smeets On the number of polynomials over ${\rm
GF}(2)$ that factor into $2,\;3$ or $4$
prime polynomials . . . . . . . . . . . 667--674
G. J. Cooper Reducible Runge--Kutta methods . . . . . 675--680
N. I. Ioakimidis A modification of the classical
quadrature method for locating zeros of
analytic functions . . . . . . . . . . . 681--686
Jòrgen Sand Integration methods for solving
equations . . . . . . . . . . . . . . . 687--688
Anonymous Problems . . . . . . . . . . . . . . . . 689--690
Anonymous New Books and Journals . . . . . . . . . 691--691
Anonymous BIT Prize for Young Nordic Scientists 692--692
Anonymous Notes . . . . . . . . . . . . . . . . . 692--692
Anonymous Acknowledgements . . . . . . . . . . . . 693--693
Anonymous Index 1985 . . . . . . . . . . . . . . . 694--696
Becky Chan and
Selim G. Akl Generating combinations in parallel . . 1--6
R. C. Chang and
R. C. T. Lee An $O(N{\rm log}\,N)$ minimal spanning
tree algorithm for $N$ points in the
plane . . . . . . . . . . . . . . . . . 7--16
G. Louchard Brownian motion and algorithm complexity 17--34
Michael J. Quinn and
Narsingh Deo An upper bound for the speedup of
parallel best-bound branch-and-bound
algorithms . . . . . . . . . . . . . . . 35--43
Pawel Winter An algorithm for the enumeration of
spanning trees . . . . . . . . . . . . . 44--62
M. M. Chawla and
P. S. Rao Phase-lag analysis of explicit Nyström
methods for ``$y=f(x,y)$'' . . . . . . . 63--70
Annie Cuyt Multivariate Padé approximants revisited 71--79
Bernd Hofmann and
Volkmar Friedrich On regularization and discretization
control for the numerical solution of
inverse problems in parabolic equations 80--92
S. R. K. Iyengar and
R. K. Jain Derivative free multipoint iterative
methods for simple and multiple roots 93--99
Syvert P. Nòrsett and
Per G. Thomsen Local error control in SDIRK-methods . . 100--113
Jòrgen Sand Circle contractive linear multistep
methods . . . . . . . . . . . . . . . . 114--122
J. M. Borwein and
P. B. Borwein An explicit cubic iteration for $\pi$ 123--126
Huang Bing-Chao and
Donald E. Knuth A one-way, stackless quicksort algorithm 127--130
Philip Rabinowitz The convergence of interpolatory product
integration rules . . . . . . . . . . . 131--134
Anonymous Problems . . . . . . . . . . . . . . . . 135--135
Anonymous Notes . . . . . . . . . . . . . . . . . 136--136
H. C. Du Disk allocation methods for binary
Cartesian product files . . . . . . . . 138--147
Anders Edenbrandt Quotient tree partitioning of undirected
graphs . . . . . . . . . . . . . . . . . 148--155
Jeffrey H. Kingston The amortized complexity of Henriksen's
algorithm . . . . . . . . . . . . . . . 156--163
Sigurd Meldal An axiomatic semantics for nested
concurrency . . . . . . . . . . . . . . 164--174
Peter Naur Thinking and Turing's test . . . . . . . 175--187
Heikki Saikkonen and
Stefan Rönn Distributed termination on a ring . . . 188--194
Y. Zhang A note on parallel depth first search 195--198
S. Amini Efficient quadrature rules with a priori
error estimates for integrands with end
point singularities . . . . . . . . . . 200--208
Gene H. Golub and
R. Kannan Convergence of a two-stage Richardson
process for nonlinear equations . . . . 209--216
Martin S. Hanna and
David G. Evans and
Peter N. Schweitzer On the approximation of plane curves by
parametric cubic splines . . . . . . . . 217--232
D. B. Hunter and
G. E. Okecha A modified Gaussian quadrature rule for
integrals involving poles of any order 233--240
Per Erik Koch Jackson theorems for generalized
polynomials with special applications to
trigonometric and hyperbolic functions 241--250
A. L. Andrew The accuracy of Numerov's method for
eigenvalues . . . . . . . . . . . . . . 251--253
Claude Brezinski On interpolatory multivariate Padé-type
approximants . . . . . . . . . . . . . . 254--258
J. Herzberger Bounds for the $R$-order of certain
iterative numerical processes . . . . . 259--262
Anonymous Problems . . . . . . . . . . . . . . . . 263--263
Anonymous Notes . . . . . . . . . . . . . . . . . 264--264
Anonymous New books and Journals . . . . . . . . . 264--264
Anonymous New Books and Journals . . . . . . . . . 264--264
Alfs Berztiss A taxonomy of binary tree traversals . . 266--276
G. H. Chen and
Maw Sheng Chern Parallel generation of permutations and
combinations . . . . . . . . . . . . . . 277--283
Jakob Krarup and
Peter Pruzan Assessment of Approximate Algorithms:
The Error Measure's Crucial Role . . . . 284--294
Sigurd Meldal Partial Correctness of Exits from
Concurrent Structures . . . . . . . . . 295--302
Robert Schreiber On Systolic Array Methods for Band
Matrix Factorizations . . . . . . . . . 303--316
M. M. Chawla and
S. McKee and
G. Shaw Order $h^2$ method for a singular
two-point boundary value problem . . . . 318--326
Klaus-Jürgen Förster On Chebyshev quadrature for a special
class of weight functions . . . . . . . 327--332
M. Koppinen Computation of simple characters of a
Chevalley group . . . . . . . . . . . . 333--338
Syvert P. Nòrsett and
Per G. Thomsen Switching between modified Newton and
fix-point iteration for implicit
ODE-solvers . . . . . . . . . . . . . . 339--348
Lothar Reichel On polynomial approximation in the
uniform norm by the discrete least
squares method . . . . . . . . . . . . . 349--368
Yiannis G. Saridakis Generalized consistent orderings and the
accelerated overrelaxation method . . . 369--376
Jochen W. Schmidt Convex interval interpolation with cubic
splines . . . . . . . . . . . . . . . . 377--387
C. L. Frenzen A note on an error estimate for least
squares approximation . . . . . . . . . 388--391
Panos M. Pardalos An algorithm for a class of nonlinear
fractional problems using ranking of the
vertices . . . . . . . . . . . . . . . . 392--395
Manabu Sakai A characterization of a class of
polynomial splines by convolution . . . 396--397
Anonymous Problems . . . . . . . . . . . . . . . . 398--399
Anonymous New Books and Journals . . . . . . . . . 399--400
Anonymous Notes . . . . . . . . . . . . . . . . . 400--400
Keith Brinck Computing Parent Nodes in Threaded
Binary Trees . . . . . . . . . . . . . . 401--409
C. C. Chang On the Design of a Key-Lock-Pair
Mechanism in Information Protection
Systems . . . . . . . . . . . . . . . . 410--417
Pranay Chaudhuri and
Ratan K. Ghosh Parallel algorithms for analyzing
activity networks . . . . . . . . . . . 418--429
W. Randolph Franklin and
Varol Akman Reconstructing Visible Regions from
Visible Segments . . . . . . . . . . . . 430--441
Shou-Hsuan Stephen Huang Ordered priority queues . . . . . . . . 442--450
Robert Schreiber and
Wei-Pai Tang On Systolic Arrays for Updating the
Cholesky Factorization . . . . . . . . . 451--466
D. Yun Yeh A dynamic programming approach to the
complete set partitioning problem . . . 467--474
C. W. Clenshaw and
F. W. J. Olver Unrestricted algorithms for reciprocals
and square roots . . . . . . . . . . . . 475--492
P. Concus and
G. Meurant On computing INV block preconditionings
for the conjugate gradient method . . . 493--504
Rolf Jeltsch and
Olavi Nevanlinna Error bounds for multistep methods
revisited . . . . . . . . . . . . . . . 505--520
G. V. Milovanovi\'c and
B. P. Acharya and
T. N. Pattnaik On numerical evaluation of double
integrals of an analytic function of two
complex variables . . . . . . . . . . . 521--526
Edward Neuman Convex interpolating splines of
arbitrary degree. III . . . . . . . . . 527--536
H. Guggenheimer Initial approximations in
Durand--Kerner's root finding method . . 537--539
Anonymous Problems . . . . . . . . . . . . . . . . 540--542
Anonymous New books and journals . . . . . . . . . 543--543
Anonymous Notes . . . . . . . . . . . . . . . . . 544--544
Anonymous Acknowledgements . . . . . . . . . . . . 545--545
Svante Carlsson Average-case results on Heapsort . . . . 2--17
Rade Doroslova\vcki and
Ivan Stojmenovi\'c and
Ratko To\vsi\'c Generating and counting triangular
systems . . . . . . . . . . . . . . . . 18--24
J. van Leeuwen and
J. Wiedermann Array processing machines: An abstract
model . . . . . . . . . . . . . . . . . 25--43
Lutz M. Wegner A generalized, one-way, stackless
quicksort . . . . . . . . . . . . . . . 44--48
Adi Ben-Israel A ${\bf Z}$-simplex algorithm with
partial updates . . . . . . . . . . . . 50--61
K. Burrage and
W. H. Hundsdorfer The order of $B$-convergence of
algebraically stable Runge--Kutta
methods . . . . . . . . . . . . . . . . 62--71
Giuliana Criscuolo and
Giuseppe Mastroianni Convergence of Gauss type product
formulas for the evaluation of
two-dimensional Cauchy principal value
integrals . . . . . . . . . . . . . . . 72--84
Ulf Torsten Ehrenmark On the error term of the Filon
quadrature formulae . . . . . . . . . . 85--97
Daniel C. Mayer Sharp bounds for the partition function
of integer sequences . . . . . . . . . . 98--110
Miodrag S. Petkovi\'c and
Lidija V. Stefanovi\'c On some iteration functions for the
simultaneous computation of multiple
complex polynomial zeros . . . . . . . . 111--122
Gary K. Rockswold $A_0$-stable linear multistep formulas
of the $\alpha$-type . . . . . . . . . . 123--128
Anonymous Problems . . . . . . . . . . . . . . . . 129--130
Anonymous New Books and Journals . . . . . . . . . 131--131
Anonymous Notes . . . . . . . . . . . . . . . . . 132--132
H. A. Burgdorff and
S. Jajodia and
F. N. Springsteel and
Y. Zalcstein Alternative methods for the
reconstruction of trees from their
traversals . . . . . . . . . . . . . . . 133--140
G. H. Chen and
Maw-Sheng Chern and
R. C. T. Lee A new systolic architecture for convex
hull and half-plane intersection
problems . . . . . . . . . . . . . . . . 141--147
Donald K. Friesen and
Michael A. Langston Bin packing: on optimizing the number of
pieces packed . . . . . . . . . . . . . 148--156
G. Loizou and
P. Thanisch On finding a worst-case optimal fourth
normal form database decomposition . . . 157--162
Erkki Mäkinen Left distance binary tree
representations . . . . . . . . . . . . 163--169
Shaunak Pawagi Maximum weight independent set in trees 170--180
J. C. Butcher Linear and non-linear stability for
general linear methods . . . . . . . . . 181--189
J. C. Butcher Linear and nonlinear stability for
general linear methods . . . . . . . . . 182--189
J. A. Cuminato On the uniform convergence of a
collocation method for a class of
singular integral equations . . . . . . 190--202
Walter Gautschi and
Jet Wimp Computing the Hilbert transform of a
Jacobi weight function . . . . . . . . . 203--215
Ch. Lubich and
A. Ostermann Multigrid dynamic iteration for
parabolic equations . . . . . . . . . . 216--234
L. G. McAlevey Product integration rules for Volterra
integral equations of the first kind . . 235--247
Hans Riesel On the metric theory of nearest integer
continued fractions . . . . . . . . . . 248--263
K. Strehmel and
R. Weiner $B$-convergence results for linearly
implicit one step methods . . . . . . . 264--281
Manabu Sakai and
Riaz A. Usmani A recursion relation for simple rational
B-splines . . . . . . . . . . . . . . . 282--284
Anonymous Problems . . . . . . . . . . . . . . . . 285--287
Anonymous Notes . . . . . . . . . . . . . . . . . 288--288
Anonymous New Books and Journals . . . . . . . . . 288--288
Ferenc Belik Deadlock avoidance with a modified
banker's algorithm . . . . . . . . . . . 290--305
C. C. Chang and
C. Y. Chen Performance of two-disk partition data
allocations . . . . . . . . . . . . . . 306--314
A. Hasham and
J.-R. Sack Bounds for min-max heaps . . . . . . . . 315--323
J. Ian Munro and
Patricio V. Poblete Searchability in merging and implicit
data structures . . . . . . . . . . . . 324--329
Erkki Mäkinen On top-down splaying . . . . . . . . . . 330--339
M. T. Noga Sorting in parallel by double
distributive partitioning . . . . . . . 340--348
W. Auzinger and
J. P. Monnet IDeC --- convergence independent of
error asymptotics . . . . . . . . . . . 350--367
François Dubeau and
Jean Savoie On consistency relations for polynomial
splines on a uniform partition . . . . . 368--373
P. M. Fuchs On the stability of spline-collocation
methods of multivalue type . . . . . . . 374--388
Walter Gautschi and
M. A. Kova\vcevi\'c and
Gradimir V. Milovanovi\'c The numerical evaluation of singular
integrals with coth-kernel . . . . . . . 389--402
P. H. Muir and
W. H. Enright Relationships among some classes of
implicit Runge--Kutta methods and their
stability functions . . . . . . . . . . 403--423
M. N. Spijker A note on contractivity in the numerical
solution of initial value problems . . . 424--437
Anonymous Problems . . . . . . . . . . . . . . . . 438--439
Anonymous New Books and Journals . . . . . . . . . 439--439
Anonymous Notes . . . . . . . . . . . . . . . . . 440--440
M. A. Bassiouni and
U. Khamare Algorithms for Reducing Rollbacks in
Concurrency Control by Certification . . 441--457
B. Joe and
R. B. Simpson Corrections to Lee's Visibility Polygon
Algorithm . . . . . . . . . . . . . . . 458--473
Andrzej Lingas and
Christos Levcopoulos and
Jörg Sack Algorithms for minimum length partitions
of polygons . . . . . . . . . . . . . . 474--479
Rami Melhem Verification of a class of self-timed
computational networks . . . . . . . . . 480--500
Paul G. Bao and
Jon Rokne Inclusion isotonicity of circular
complex centered forms . . . . . . . . . 502--509
J. C. Butcher The equivalence of algebraic stability
and ${\rm AN}$-stability . . . . . . . . 510--533
Per Christian Hansen The truncated SVD as a method for
regularization . . . . . . . . . . . . . 534--553
Ulla Miekkala and
Olavi Nevanlinna Sets of convergence and stability
regions . . . . . . . . . . . . . . . . 554--584
Axel Ruhe Closest normal matrix finally found! . . 585--598
R. M. Thomas Efficient fourth order $P$-stable
formulae . . . . . . . . . . . . . . . . 599--614
Riaz A. Usmani On quadratic spline interpolation . . . 615--622
B. L. Raina and
Nancy Kaul and
Sunita Warikoo Error bound for an osculatory quadrature
formula . . . . . . . . . . . . . . . . 623--626
J. A. Cuminato Erratum: ``On the uniform convergence of
a collocation method for a class of
singular integral equations'' [BIT \bf
27(2), 1987, pp. 190--202] . . . . . . . 627--627
S. Pawagi Erratum: ``Maximum weight independent
set in trees'' [BIT \bf 27(2), 1987, pp.
170--180] . . . . . . . . . . . . . . . 627--627
Anonymous Problems . . . . . . . . . . . . . . . . 628--629
Anonymous New Books and Journals . . . . . . . . . 630--630
Anonymous Notes . . . . . . . . . . . . . . . . . 631--631
Anonymous Acknowledgements . . . . . . . . . . . . 632--632
Pranay Chaudhuri Fast parallel graph searching with
applications . . . . . . . . . . . . . . 1--18
Rolf G. Karlsson Greedy matching on a grid . . . . . . . 19--26
Y. P. Manolopoulos and
J. G. Kollias Estimating disk head movement in batched
searching . . . . . . . . . . . . . . . 27--36
Nageswara S. V. Rao and
Vijay K. Vaishnavi and
S. Sitharama Iyengar On the dynamization of data structures 37--53
Ling-Ling Wang and
Wen-Hsiang Tsai Optimal Assignment of Task Modules with
Precedence for Distributed Processing by
Graph Matching and State-Space Search 54--68
Laurence A. Bales and
Ohannes A. Karakashian and
Steven M. Serbin On the $A_0$-acceptability of rational
approximations to the exponential
function with only real poles . . . . . 69--79
Eckart Baumann Optimal centered forms . . . . . . . . . 80--87
M. M. Chawla and
R. Subramanian and
H. L. Sathi A fourth order method for a singular
two-point boundary value problem . . . . 88--97
Annie Cuyt A multivariate QD-like algorithm . . . . 98--112
Timo Eirola Invariant curves of one-step methods . . 113--122
Håkan Ekblom A new algorithm for the Huber estimator
in linear models . . . . . . . . . . . . 123--132
Nicholas J. Higham The Symmetric Procrustes Problem . . . . 133--143
Gunilla Kreiss Convergence to steady state of solutions
of the Euler equations. I . . . . . . . 144--162
Dennis C. Smolarski and
Paul E. Saylor An optimum iterative method for solving
any linear system with a square matrix 163--178
Heikki Mannila and
Derick Wood A note on the largest empty rectangle
problem . . . . . . . . . . . . . . . . 179--183
Josef Schneid Stability properties of collocation
methods . . . . . . . . . . . . . . . . 184--187
Hans Riesel Errata: ``On the metric theory of
nearest integer continued fractions''
[BIT \bf 27(2), 1987, pp. 248--263; MR
88k:11048] . . . . . . . . . . . . . . . 188--188
Anonymous Problems . . . . . . . . . . . . . . . . 189--191
Anonymous Notes . . . . . . . . . . . . . . . . . 192--192
Anonymous New Books and Journals . . . . . . . . . 192--192
Anonymous Notes: BIT Prize for Young Nordic
Scientists . . . . . . . . . . . . . . . 192--192
F. Aurenhammer On-line sorting of twisted sequences in
linear time . . . . . . . . . . . . . . 194--204
C. C. Chang Application of Principal Component
Analysis to Multi-disk Concurrent
Accessing . . . . . . . . . . . . . . . 205--214
Shou-Hsuan Stephen Huang A VLSI partition algorithm . . . . . . . 215--226
Rolf G. Karlsson and
Mark H. Overmars Scanline algorithms on a grid . . . . . 227--241
P. P. Nicolaou and
C. C. Lefas On the Recovery of Error Patterns from
Signatures Obtained in Digital Systems
Testing . . . . . . . . . . . . . . . . 242--252
Alan L. Andrew Correction of finite element eigenvalues
for problems with natural or periodic
boundary conditions . . . . . . . . . . 254--269
Kjell Gustafsson and
Michael Lundh and
Gustaf Söderlind A PI stepsize control for the numerical
solution of ordinary differential
equations . . . . . . . . . . . . . . . 270--287
M. Irodotou-Ellina and
E. N. Houstis An $O(h^6)$ quintic spline collocation
method for fourth order two-point
boundary value problems . . . . . . . . 288--301
M. K. Jain A modification of the Stiefel--Bettis
method for nonlinearly damped
oscillators . . . . . . . . . . . . . . 302--307
E. F. Kaasschieter A practical termination criterion for
the conjugate gradient method . . . . . 308--322
Panos M. Pardalos Quadratic problems defined on a convex
hull of points . . . . . . . . . . . . . 323--328
Manabu Sakai and
Riaz A. Usmani A shape preserving area true
approximation of histogram by rational
splines . . . . . . . . . . . . . . . . 329--339
Jochen W. Schmidt and
Walter Hess Positivity of cubic polynomials on
intervals and positive spline
interpolation . . . . . . . . . . . . . 340--352
G. H. Chen and
M. T. Kuo and
J. P. Sheu An optimal time algorithm for finding a
maximum weight independent set in a tree 353--356
Ronald Cools and
Ann Haegemans An embedded pair of cubature formulae of
degree $5$ and $7$ for the triangle . . 357--359
Klaus-Jürgen Förster On Chebyshev quadrature and variance of
quadrature formulas . . . . . . . . . . 360--363
Gary D. Knott Linear open addressing and Peterson's
theorem rehashed . . . . . . . . . . . . 364--371
Anonymous Problems . . . . . . . . . . . . . . . . 372--374
Anonymous Notes . . . . . . . . . . . . . . . . . 375--375
Anonymous New Books and Journals . . . . . . . . . 375--375
Edsger W. Dijkstra On binary operators and their derived
relations . . . . . . . . . . . . . . . 377--382
Bo Einarsson Tutorial on Analytical Methods as a
Complement to Numerical Computing . . . 383--390
Paul Erd\Hos and
Hans Riesel On admissible constellations of
consecutive primes . . . . . . . . . . . 391--396
Andrei P. Ershov Basic Concepts of Algorithms and
Programming to be Taught in a School
Course in Informatics . . . . . . . . . 397--405
Carl-Erik Fröberg On a combinatorial problem related to
permanents . . . . . . . . . . . . . . . 406--411
Brian Mayoh On formalisms . . . . . . . . . . . . . 412--426
Anders P. Ravn and
Hans Rischel and
Hans Henrik Lòvengreen A design method for embedded software
systems . . . . . . . . . . . . . . . . 427--438
K. W. Smillie Array theory and the Nial programming
language . . . . . . . . . . . . . . . . 439--449
Edda Sveinsdottir and
Erik Fròkjær Datalogy --- the Copenhagen tradition of
computer science . . . . . . . . . . . . 450--472
W. M. Turski Time considered irrelevant for real-time
systems . . . . . . . . . . . . . . . . 473--486
Annika Aasa and
Sören Holmström and
Christina Nilsson An efficiency comparison of some
representations of purely functional
arrays . . . . . . . . . . . . . . . . . 489--503
J. W. de Bakker and
J.-J. Ch. Meyer Metric semantics for concurrency . . . . 504--529
Edward K. Blum The semantics and complexity of parallel
programs for vector computations. Part
I: a case study using ADA . . . . . . . 530--551
Jens Clausen and
Jakob Krarup Arranging apples in an array . . . . . . 552--568
David Gries and
Jin Yun Xue Generating a random cyclic permutation 569--572
Peter Johansen Inductive inference of ultimately
periodic sequences . . . . . . . . . . . 573--580
R. Kurki-Suonio and
T. Kankaanpää On the design of reactive systems . . . 581--604
Bengt Nordström Terminating general recursion . . . . . 605--619
J. Staunstrup and
M. R. Greenstreet From high-level descriptions to VLSI
circuits . . . . . . . . . . . . . . . . 620--638
Alan Stewart SIMD language design using prescriptive
semantics . . . . . . . . . . . . . . . 639--649
Laurence A. Bales and
Ohannes A. Karakashian and
Steve M. Serbin On the stability of rational
approximations to the cosine with only
imaginary poles . . . . . . . . . . . . 651--658
Åke Björck A bidiagonalization algorithm for
solving large and sparse ill-posed
systems of linear equations . . . . . . 659--670
Hanne Dalgas Christiansen Uniformly distributed sums of Bernoulli
variables . . . . . . . . . . . . . . . 671--677
E. Hairer and
Ch. Lubich and
M. Roche Error of Runge--Kutta methods for stiff
problems studied via differential
algebraic equations . . . . . . . . . . 678--700
Frank Körner A new branching rule for the branch and
bound algorithm for solving nonlinear
integer programming problems . . . . . . 701--708
Kang Hoh Phua Solving sparse linear systems by an
ABS-method that corresponds to
$LU$-decomposition . . . . . . . . . . . 709--718
Anonymous Problems . . . . . . . . . . . . . . . . 719--724
Erik Bruhn and
Carl-Erik Fröberg and
Christian Gram Peter Naur on his 60th birthday, October
25, 1988 . . . . . . . . . . . . . . . . i--iii
István Beck and
Stein Krogdahl A select and insert sorting algorithm 725--735
Christos Faloutsos Signature files: an integrated access
method for text and attributes, suitable
for optical disk storage . . . . . . . . 736--754
J. K. Gibson A generalisation of Brickell's algorithm
for fast modular multiplication . . . . 755--763
Dana Richards and
Pravin Vaidya On the distribution of comparisons in
sorting algorithms . . . . . . . . . . . 764--774
Steven S. Skiena Encroaching lists as a measure of
presortedness . . . . . . . . . . . . . 775--784
Ivan Stojmenovi\'c and
Michael A. Langston On a proposed divide-and-conquer minimal
spanning tree algorithm . . . . . . . . 785--789
Ronald Cools and
Ann Haegemans Why do so many cubature formulae have so
many positive weights . . . . . . . . . 791--802
V. Denzer and
A. Ecker Optimal multipliers for linear
congruential pseudo-random number
generators with prime moduli . . . . . . 803--808
E. W. Gekeler On implicit Runge--Kutta methods with
higher derivatives . . . . . . . . . . . 809--816
R. K. Jain Single step methods for general second
order singular initial value problems
with spherical symmetry . . . . . . . . 817--824
M. Z. Liu and
J. F. B. M. Kraaijevanger On the solvability of the systems of
equations arising in implicit
Runge--Kutta methods . . . . . . . . . . 825--838
Hans Riesel Some soluble cases of the discrete
logarithm problem . . . . . . . . . . . 839--851
Jon Rokne and
Paul G. Bao The number of centered forms for a
polynomial . . . . . . . . . . . . . . . 852--866
M. Sakai and
Riaz A. Usmani Nonpolynomial splines and weakly
singular two-point boundary value
problems . . . . . . . . . . . . . . . . 867--876
J. M. Sanz-Serna Runge--Kutta schemes for Hamiltonian
systems . . . . . . . . . . . . . . . . 877--883
Bernhard A. Schmitt Stability of implicit Runge--Kutta
methods for nonlinear stiff differential
equations . . . . . . . . . . . . . . . 884--897
R. M. Thomas Efficient sixth order methods for
nonlinear oscillation problems . . . . . 898--903
Anonymous Problems . . . . . . . . . . . . . . . . 904--906
Anonymous New Books and Journals . . . . . . . . . 907--907
Anonymous Acknowledgements . . . . . . . . . . . . 908--909
Anonymous Index 1988 . . . . . . . . . . . . . . . 909--912
M. Gori and
G. Soda An algebraic approach to Cichelli's
perfect hashing . . . . . . . . . . . . 2--13
P. Gupta and
G. P. Bhattacharjee A parallel derangement generation
algorithm . . . . . . . . . . . . . . . 14--22
Chau-Jy Lin and
Jong Chuang Tsay A systolic generation of combinations 23--36
Ernst S. Selmer On Shellsort and the Frobenius problem 37--40
Eugene Veklerov On the decomposability of the stable
marriage problem . . . . . . . . . . . . 41--46
Edmund Christiansen and
Henrik Gordon Petersen Estimation of convergence orders in
repeated Richardson extrapolation . . . 48--59
Håkan Ekblom and
Kaj Madsen Algorithms for nonlinear Huber
estimation . . . . . . . . . . . . . . . 60--76
E. Hairer and
Ch. Lubich and
M. Roche Error of Rosenbrock methods for stiff
problems studied via differential
algebraic equations . . . . . . . . . . 77--90
Stephen L. Keeling On implicit Runge--Kutta methods with a
stability function having distinct real
poles . . . . . . . . . . . . . . . . . 91--109
Catherine Meadows and
George Purdy Summing over a network without revealing
summands . . . . . . . . . . . . . . . . 110--125
P. H. Muir and
P. W. Beame A note on error expressions for
reflected and averaged implicit
Runge--Kutta methods . . . . . . . . . . 126--139
M. Sakai and
J. W. Schmidt Positive interpolation with rational
splines . . . . . . . . . . . . . . . . 140--147
Tor Sòrevik and
Terje O. Espelid Fully symmetric integration rules for
the $4$-cube . . . . . . . . . . . . . . 148--153
Edward Neuman Short proof of an identity of Gaffney 155--156
Anonymous Problems . . . . . . . . . . . . . . . . 157--158
Anonymous New Books and Journals . . . . . . . . . 159--159
Anonymous Notes . . . . . . . . . . . . . . . . . 160--160
Anonymous Index 1980--1988 . . . . . . . . . . . . 161--181
W. D. Gropp and
I. C. F. Ipsen Recursive Mesh Refinement on Hypercubes 186--211
Nen Fu Huang and
Tsing Her Huang On the complexity of some arborescences
finding problems on a multihop radio
network . . . . . . . . . . . . . . . . 212--216
Shing Tsaan Huang and
Ming-Shin Tsai A linear systolic algorithm for the
connected component problem . . . . . . 217--226
Matti O. Jokinen Automatically Replacing Indices into
Parallel Arrays with Pointers to Records 227--238
Michael J. Quinn Analysis and Benchmarking of Two
Parallel Sorting Algorithms:
Hyperquicksort and Quick Merge . . . . . 239--250
Thomas Strothotte and
Patrik Eriksson and
Sören Vallner A note on constructing min-max heaps . . 251--256
M. R. Crisci and
E. Russo and
A. Vecchio On the stability of the one-step exact
collocation methods for the numerical
solution of the second kind Volterra
integral equation . . . . . . . . . . . 258--269
Martin C. Eiermann Automatic, guaranteed integration of
analytic functions . . . . . . . . . . . 270--282
Terje O. Espelid and
Tor Sòrevik A discussion of a new error estimate for
adaptive quadrature . . . . . . . . . . 283--294
P. M. Fuchs $A$-stable spline-collocation methods of
multivalue type . . . . . . . . . . . . 295--310
A. Hadjidimos and
M. Neumann Precise domains of convergence for the
block SSOR method associated with
$p$-cyclic matrices . . . . . . . . . . 311--320
Jiao Xun Kuang and
Jia Xiang Xiang On the $D$-suitability of implicit
Runge--Kutta methods . . . . . . . . . . 321--327
Olavi Nevanlinna Remarks on Picard--Lindelöf iteration:
Part I . . . . . . . . . . . . . . . . . 328--346
Philip Rabinowitz On an interpolatory product rule for
evaluating Cauchy principal value
integrals . . . . . . . . . . . . . . . 347--355
R. E. Scraton The practical use of the Euler
transformation . . . . . . . . . . . . . 356--360
W. Slough and
K. Efe Efficient algorithms for tree
reconstruction . . . . . . . . . . . . . 361--363
Y. Manolopoulos and
G. Poulakis An Adaptation of a Root-Finding Method
to Searching Ordered Disk Files
Revisited . . . . . . . . . . . . . . . 364--369
Bengt Lindberg Variable stepsize in Cowell's method . . 369--371
J. Rohn An asymptotic result for linear interval
systems . . . . . . . . . . . . . . . . 372--374
Anonymous Problems . . . . . . . . . . . . . . . . 375--376
Anonymous Notes . . . . . . . . . . . . . . . . . 376--376
Ricardo A. Baeza-Yates A trivial algorithm whose analysis is
not: a continuation . . . . . . . . . . 378--394
Per Galle Branch & Sample: a Simple Strategy for
Constraint Satisfaction . . . . . . . . 395--408
Rami Melhem and
Concettina Guerra The application of a sequence notation
to the design of systolic computations 409--427
Peter Scheuermann and
Young Chul Park and
Edward Omiecinski A Heuristic File Reorganization
Algorithm Based on Record Clustering . . 428--447
S. S. Tseng The average performance of a parallel
stable marriage algorithm . . . . . . . 448--456
Zhi Yong Bi and
Paul H. Calamai A class of root finding methods . . . . 458--463
Bernard Bialecki A modified sinc quadrature rule for
functions with poles near the arc of
integration . . . . . . . . . . . . . . 464--476
S. Galanis and
A. Hadjidimos and
D. Noutsos Optimum first and second order
extrapolations of successive
overrelaxation type methods for certain
classes of matrices . . . . . . . . . . 477--490
Per Christian Hansen Regularization, GSVD and truncated GSVD 491--504
W. H. Hundsdorfer and
J. Schneid On the equivalence of ${\rm
BS}$-stability and ${\rm B}$-consistency 505--511
D. B. Hunter and
H. V. Smith The evaluation of Cauchy principal value
integrals involving unknown poles . . . 512--517
R. K. Jain and
Rajive Kumar and
Rakesh Goel Superstable implicit Runge--Kutta
methods for second order initial value
problems . . . . . . . . . . . . . . . . 518--526
J. N. Lyness and
T. Sòrevik The number of lattice rules . . . . . . 527--534
Olavi Nevanlinna Remarks on Picard--Lindelöf iteration:
Part II . . . . . . . . . . . . . . . . 535--562
Gabriele Steidl On symmetric radix representation of
Gaussian integers . . . . . . . . . . . 563--571
Erkki Mäkinen Constructing a binary tree from its
traversals . . . . . . . . . . . . . . . 572--575
Anonymous Jan V. Garwick: in memoriam . . . . . . 576--576
Owe Axelsson Preconditioned conjugate gradient
methods. Preface . . . . . . . . . . . . 577--582
Steven F. Ashby and
Thomas A. Manteuffel and
Paul E. Saylor Adaptive polynomial preconditioning for
Hermitian indefinite linear systems . . 583--609
A. Greenbaum and
G. H. Rodrigue Optimal preconditioners of a given
sparsity pattern . . . . . . . . . . . . 610--634
Iain S. Duff and
Gérard A. Meurant The effect of ordering on preconditioned
conjugate gradients . . . . . . . . . . 635--657
Robert Beauwens Approximate factorizations with S/P
consistently ordered $M$-factors . . . . 658--681
Yvan Notay Incomplete factorization of singular
linear systems . . . . . . . . . . . . . 682--702
Gaia Valeria Paolini and
Giuseppe Radicati di Brozolo Data structures to vectorize CG
algorithms for general sparsity patterns 703--718
Gabriel Wittum and
Frank Liebau On truncated incomplete decompositions 719--740
D. J. Evans and
C. Li Connections between the PCG method
applied to systems with red/black form
and its reduced system . . . . . . . . . 741--747
M. Jung and
U. Langer and
U. Semmler Two-level hierarchically preconditioned
conjugate gradient methods for solving
linear elasticity finite element
equations . . . . . . . . . . . . . . . 748--768
O. Axelsson and
P. S. Vassilevski A survey of multilevel preconditioned
iterative methods . . . . . . . . . . . 769--793
G. F. Carey and
E. Barragy Basis function selection and
preconditioning high degree finite
element and spectral methods . . . . . . 794--804
L. Yu. Kolotilina and
A. Yu. Yeremin Block SSOR preconditionings for high
order $3$D FE systems . . . . . . . . . 805--823
E. F. Kaasschieter A general finite element preconditioning
for the conjugate gradient method . . . 824--849
Richard E. Ewing Preconditioned conjugate gradient
methods for large-scale fluid flow
applications . . . . . . . . . . . . . . 850--866
O. Axelsson and
V. Eijkhout and
B. Polman and
P. Vassilevski Incomplete block-matrix factorization
iterative methods for
convection-diffusion problems . . . . . 867--889
Howard C. Elman Relaxed and stabilized incomplete
factorizations for nonselfadjoint linear
systems . . . . . . . . . . . . . . . . 890--915
J. M. C. Aarden and
K. E. Karlsson Preconditioned CG-type methods for
solving the coupled system of
fundamental semiconductor equations . . 916--937
R. E. Bank and
T. F. Chan and
W. M. Coughran, Jr. and
R. K. Smith The Alternate-Block-Factorization
Procedure for Systems of Partial
Differential Equations . . . . . . . . . 938--954
Anonymous Acknowledgements . . . . . . . . . . . . 955--956
Anonymous Books received . . . . . . . . . . . . . 956--956
N. Andersen A general transposition method for a
matrix on auxiliary store . . . . . . . 2--16
Bruce Bauslaugh and
Frank Ruskey Generating alternating permutations
lexicographically . . . . . . . . . . . 17--26
Chin-Chen Chang and
Chu-Hsing Lin A reciprocal confluence tree unit and
its applications . . . . . . . . . . . . 27--33
Sushil Jajodia and
Frederick N. Springsteel Lossless outer joins with incomplete
information . . . . . . . . . . . . . . 34--41
S. D. Lang Analysis of recursive batched
interpolation search . . . . . . . . . . 42--50
Arch D. Robison An improved rewriting-number algorithm 51--61
Renzo Sprugnoli Counting labels in binary trees . . . . 62--69
Alan Stewart An axiomatic treatment of SIMD
assignment . . . . . . . . . . . . . . . 70--82
Maciej M. Sys\lo and
Pawel Winter In-trees and plane embeddings of
outerplanar graphs . . . . . . . . . . . 83--90
Ioannis K. Argyros Error for the modified secant method . . 92--100
Anders Barrlund Perturbation bounds on the polar
decomposition . . . . . . . . . . . . . 101--113
L. C. Hsu and
R. J. Tomkins and
Chung-Lie Wang A quadrature method for a class of
strongly oscillatory infinite integrals 114--125
Ivar Lie Local error estimation for multistep
collocation methods . . . . . . . . . . 126--144
Franz Peherstorfer Weight functions admitting repeated
positive Kronrod quadrature . . . . . . 145--151
Ulf Torsten Ehrenmark A note on an extension of extrapolative
techniques for a class of infinite
oscillatory integrals . . . . . . . . . 152--155
R. Legault and
T. D. Bui Comparing the contractivity properties
of semi-implicit methods . . . . . . . . 156--160
J. Rohn On nonconvexity of the solution set of a
system of linear interval equations . . 161--165
J. Schneid A necessary condition for
$B$-convergence of Runge--Kutta methods 166--170
Mirjana Stojanovi\'c Numerical solution of a singularly
perturbed problem via exponential
splines . . . . . . . . . . . . . . . . 171--176
Craig C. Douglas and
Willard L. Miranker The multilevel principle applied to
sorting . . . . . . . . . . . . . . . . 177--195
Nen Fu Huang A divide-and-conquer algorithm for
constructing relative neighborhood graph 196--206
Shou-Hsuan Huang and
Venkatraman Viswanathan On the construction of weighted
time-optimal ${\bf B}$-trees . . . . . . 207--215
Yannis Manolopoulos and
J. (Yannis) G. Kollias Optimal data placement in two-headed
disk systems . . . . . . . . . . . . . . 216--219
J. Ian Munro and
Venkatesh Raman and
Jeffrey S. Salowe Stable in situ sorting and minimum data
movement . . . . . . . . . . . . . . . . 220--234
Vincent G. Winters Minimal Perfect Hashing in Polynomial
Time . . . . . . . . . . . . . . . . . . 235--244
M. Zubair and
S. N. Gupta Embeddings on a Boolean cube . . . . . . 245--256
Virendra C. Bhavsar and
Uday G. Gujar and
Joseph D. Horton and
Lambros A. Lambrou Evaluation of the discrepancy of the
linear congruential pseudo-random number
sequences . . . . . . . . . . . . . . . 257--267
Ö. E\ugecio\uglu and
E. Gallopoulos and
Ç. K. Koç A parallel method for fast and practical
high-order Newton interpolation . . . . 268--288
Sjur D. Flåm and
Jochem Zowe Relaxed outer projections, weighted
averages and convex feasibility . . . . 289--300
Chaya Gurwitz Weighted median algorithms for $L_1$
approximation . . . . . . . . . . . . . 301--310
Thomas Chiungtung Kao and
Gary D. Knott An efficient and numerically correct
algorithm for the $2$D convex hull
problem . . . . . . . . . . . . . . . . 311--331
Lothar Reichel Newton interpolation at Leja points . . 332--346
Avram Sidi On rates of acceleration of
extrapolation methods for oscillatory
infinite integrals . . . . . . . . . . . 347--357
K. Strehmel and
R. Weiner and
I. Dannehl On error behaviour of partitioned
linearly implicit Runge--Kutta methods
for stiff and differential algebraic
systems . . . . . . . . . . . . . . . . 358--375
Anonymous Bit prize 1990 . . . . . . . . . . . . . 376--376
Anonymous New books and journals . . . . . . . . . 376--376
Per-Olof Fjällström and
Jyrki Katajainen and
Christos Levcopoulos and
Ola Petersson A sublogarithmic convex hull algorithm 378--384
Mark H. Overmars and
Haijo Schipper and
Micha Sharir Storing line segments in partition trees 385--403
Kotagiri Ramamohanarao and
John Shepherd and
Ron Sacks-Davis Multi-Attribute Hashing with Multiple
File Copies for High Performance
Partial-Match Retrieval . . . . . . . . 404--423
Ivan Stojmenovi\'c An optimal algorithm for generating
equivalence relations on a linear array
of processors . . . . . . . . . . . . . 424--436
Jorma Tarhio Uncle-attributed grammars . . . . . . . 437--449
Ravi Varadarajan Partitioning multi-edge graphs . . . . . 450--463
Lars Eldén Algorithms for the computation of
functionals defined on the solution of a
discrete ill-posed problem . . . . . . . 466--483
M. N. El Tarazi Quadratic spline interpolation on
uniform meshes . . . . . . . . . . . . . 484--489
W. Govaerts and
J. D. Pryce Block elimination with one refinement
solves bordered linear systems
accurately . . . . . . . . . . . . . . . 490--507
J. Herzberger Using error bounds for hyperpower
methods to calculate inclusions for the
inverse of a matrix . . . . . . . . . . 508--515
Roeland P. van der Marel Stability radius of polynomials
occurring in the numerical solution of
initial value problems . . . . . . . . . 516--528
Knut Petras Error estimates for Filon quadrature
formulae . . . . . . . . . . . . . . . . 529--541
Johan Sowa Stability of a Runge--Kutta method for
the Navier--Stokes equation . . . . . . 542--560
E. Grazzini and
F. Pippolini Performance evaluation of shared and
separate inverted files . . . . . . . . 561--565
Manabu Sakai and
Riaz A. Usmani An application of Chawla's identity to a
different scheme for singular problems 566--568
Chiu Yuan Chen and
Ruei Chuan Chang On the minimality of polygon
triangulation . . . . . . . . . . . . . 570--582
Zbigniew Kokosi\'nski On generation of permutations through
decomposition of symmetric groups into
cosets . . . . . . . . . . . . . . . . . 583--591
R. T. Kuo and
S. S. Tseng On the invariance of male optimal stable
matching . . . . . . . . . . . . . . . . 592--598
Heikki Mannila and
Esko Ukkonen Unifications, deunifications, and their
complexity . . . . . . . . . . . . . . . 599--619
Yannis Manolopoulos and
Christos Faloutsos Analysis for the end of block wasted
space . . . . . . . . . . . . . . . . . 620--630
Jimmy J. M. Tan A maximum stable matching for the
roommates problem . . . . . . . . . . . 631--640
R. Caira and
C. Costabile and
F. Costabile A class of pseudo Runge--Kutta methods 642--649
Tibor Csendes Interval method for bounding level sets:
revisited and tested with global
optimization problems . . . . . . . . . 650--657
Per Christian Hansen The discrete Picard condition for
discrete ill-posed problems . . . . . . 658--672
J. D. Lambert On the local error and the local
truncation error of linear multistep
methods . . . . . . . . . . . . . . . . 673--681
Kaj Madsen and
Hans Bruun Nielsen Finite algorithms for robust linear
regression . . . . . . . . . . . . . . . 682--699
Brynjulf Owren and
Kristian Seip Some stability results for explicit
Runge--Kutta methods . . . . . . . . . . 700--706
C.-T. Pan A modification to the Linpack downdating
algorithm . . . . . . . . . . . . . . . 707--722
C. J. Price and
I. D. Coope An exact penalty function algorithm for
semi-infinite programmes . . . . . . . . 723--734
Manabu Sakai and
Riaz A. Usmani On orders of approximation of plane
curves by parametric cubic splines . . . 735--741
Shen Zuhe and
A. Neumaier and
M. C. Eiermann Solving minimax problems by interval
methods . . . . . . . . . . . . . . . . 742--751
Ioannis K. Argyros On the solution of equations with
nondifferentiable and Pták error
estimates . . . . . . . . . . . . . . . 752--754
Anonymous Acknowledgements . . . . . . . . . . . . 755--756
Anonymous New books and journals . . . . . . . . . 756--756
Oliver Günther and
Eugene Wong A dual approach to detect polyhedral
intersections in arbitrary dimensions 2--14
Ben Johnsen Generating binary trees with uniform
probability . . . . . . . . . . . . . . 15--31
John Konvalina and
Yi-Hsin Liu Bit strings without $q$-separation . . . 32--35
Vijay K. Vaishnavi and
Timothy D. Korson Height-analysis of $k$-dimensional leaf
and node height-balanced trees: a new
approach . . . . . . . . . . . . . . . . 36--49
H. van de Vel and
Sun Shijie A modification of Hochbaum and Shmoys'
algorithm for scheduling problems . . . 50--52
Shyan-Ming Yuan An efficient fault-tolerant
decentralized commit protocol for single
site failure . . . . . . . . . . . . . . 53--68
Wei Xiong Zhang and
Nageswara S. V. Rao Optimal parallel quicksort on EREW PRAM 69--74
Petter E. Bjòrstad and
Jan Mandel On the Spectra of Sums of Orthogonal
Projections with Applications to
Parallel Computing . . . . . . . . . . . 76--88
W. Burmeister and
Ch. Grossmann and
S. Scholz Directional approximation of the
Jacobians in ROW methods . . . . . . . . 89--101
Paola Favati and
Grazia Lotti and
Francesco Romani Local error estimates in quadrature . . 102--111
Pierre Fraigniaud The Durand--Kerner polynomials
roots-finding method in case of multiple
roots . . . . . . . . . . . . . . . . . 112--123
W. H. Hundsdorfer and
B. I. Steininger Convergence of linear multistep and
one-leg methods for stiff non-linear
initial value problems . . . . . . . . . 124--143
Bojan Orel Real pole approximations to the
exponential function . . . . . . . . . . 144--159
A. D. Raptis and
T. E. Simos A four-step phase-fitted method for the
numerical integration of second order
initial value problems . . . . . . . . . 160--168
Daniel Stoffer and
Kaspar Nipp Invariant curves for variable step size
integrators . . . . . . . . . . . . . . 169--180
Srinivasa R. Arikati and
C. Pandu Rangan and
Glenn K. Manacher Efficient reduction for path problems on
circular-arc graphs . . . . . . . . . . 181--193
M. D. Atkinson The recursive structure of some ordering
problems . . . . . . . . . . . . . . . . 194--201
Marc J. van Kreveld and
Mark T. de Berg Finding squares and rectangles in sets
of points . . . . . . . . . . . . . . . 202--219
L. T. Liu and
Gen-Huey Chen and
Yue Li Wang A note on optimal multiway split trees 220--229
Cao An Wang Finding minimal nested polygons . . . . 230--236
Åke Björck Component-wise perturbation analysis and
error bounds for linear least squares
solutions . . . . . . . . . . . . . . . 237--244
Gunnar Ekolin Finite difference methods for a nonlocal
boundary value problem for the heat
equation . . . . . . . . . . . . . . . . 245--261
David Elliott and
George M. Phillips Improved error bounds for near-minimax
approximations . . . . . . . . . . . . . 262--275
N. I. Ioakimidis and
K. E. Papadakis and
E. A. Perdios Numerical evaluation of analytic
functions by Cauchy's theorem . . . . . 276--285
Arnold Knopfmacher and
John Knopfmacher The number of steps in the Euclidean
algorithm over complex quadratic fields 286--292
Christian Lubich and
Olavi Nevanlinna On resolvent conditions and stability
estimates . . . . . . . . . . . . . . . 293--313
Michael Müller Algebraic characterization of $I$-stable
Runge--Kutta methods . . . . . . . . . . 314--320
Philip Rabinowitz Product integration of singular
integrands using Hermite--Fejér
interpolation . . . . . . . . . . . . . 321--327
Jochen W. Schmidt Convex interval interpolation with cubic
splines. II . . . . . . . . . . . . . . 328--340
Ji Guang Sun Perturbation bounds for the Cholesky and
$QR$ factorizations . . . . . . . . . . 341--352
Erkki Mäkinen A linear time and space algorithm for
finding isomorphic subtrees of a binary
tree . . . . . . . . . . . . . . . . . . 353--357
Anders Barrlund Perturbation bounds for the $LDL^H$ and
$LU$ decompositions . . . . . . . . . . 358--363
J. M. Carnicer A lower bound for the number of stages
of an explicit continuous Runge--Kutta
method to obtain convergence of given
order . . . . . . . . . . . . . . . . . 364--368
Eric Kvaalen A faster Broyden method . . . . . . . . 369--372
Brynjulf Owren and
Kristian Seip A uniqueness result related to the
stability of explicit Runge--Kutta
methods . . . . . . . . . . . . . . . . 373--374
Hong Yuan Zha Implicit $QR$ factorization of a product
of three matrices . . . . . . . . . . . 375--379
Giorgio Gambosi and
Giuseppe F. Italiano and
Maurizio Talamo The set union problem with dynamic
weighted backtracking . . . . . . . . . 381--393
Per Grape Complete problems with $L$-samplable
distributions . . . . . . . . . . . . . 394--405
Juha Puustjärvi Distributed management of transactions
in heterogeneous distributed database
systems . . . . . . . . . . . . . . . . 406--420
Haijo Schipper and
Mark H. Overmars Dynamic partition trees . . . . . . . . 421--436
Walter Gautschi Quadrature formulae on half-infinite
intervals . . . . . . . . . . . . . . . 437--446
Nicholas J. Higham Iterative Refinement Enhances the
Stability of $QR$ Factorization Methods
for Solving Linear Equations . . . . . . 447--468
P. J. van der Houwen and
B. P. Sommeijer and
Nguyen Huu Cong Stability of collocation-based
Runge--Kutta--Nyström methods . . . . . . 469--481
J. F. B. M. Kraaijevanger Contractivity of Runge--Kutta methods 482--528
R. T. Worley On integration lattices . . . . . . . . 529--539
Peter Köhler On a generalization of compound
Newton--Cotes quadrature formulas . . . 540--544
Ch. Lubich On projected Runge--Kutta methods for
differential-algebraic equations . . . . 545--550
M. N. Spijker On a conjecture by LeVeque and Trefethen
related to the Kreiss matrix theorem . . 551--555
Anonymous BIT Prize 1991 [to Heiki Mannila] . . . 556--556
Frank Bartling and
Klaus Hinrichs Probabilistic analysis of an algorithm
for solving the $k$-dimensional
all-nearest-neighbors problem by
projection . . . . . . . . . . . . . . . 558--565
C. Y. Chen and
H. F. Lin Optimality criteria of the disk modulo
allocation method for Cartesian product
files . . . . . . . . . . . . . . . . . 566--575
Jaana Eloranta Minimizing the number of transitions
with respect to observation equivalence 576--590
Andrzej Lingas An unfeasible matching problem . . . . . 591--597
Kim-Heng H. Teo and
Tai-Ching C. Tuan A tight upper bound for the number of
intersections between two rectangular
paths . . . . . . . . . . . . . . . . . 598--606
Leif Abrahamsson and
Heinz-Otto O. Kreiss Explicit methods for mildly stiff
oscillatory systems . . . . . . . . . . 608--619
Uday Banerjee Approximation of the eigenvalues of a
fourth order differential equation with
non-smooth coefficients . . . . . . . . 620--631
Raymond H. Chan and
Xiao Qing Jin Circulant and skew-circulant
preconditioners for skew-Hermitian type
Toeplitz systems . . . . . . . . . . . . 632--646
W. H. Enright and
D. J. Higham Parallel defect control . . . . . . . . 647--663
Anita Hansbo Error estimates for the numerical
solution of a time-periodic linear
parabolic problem . . . . . . . . . . . 664--685
Ana C. Matos Some new acceleration methods for
periodic-linearly convergent power
series . . . . . . . . . . . . . . . . . 686--696
G. A. Watson and
K. F. C. Yiu On the solution of the errors in
variables problem using the $l_1$ norm 697--710
Hong Yuan Zha The product-product singular value
decomposition of matrix triplets . . . . 711--726
Anonymous Acknowledgements . . . . . . . . . . . . 727--728
Anonymous Index 1991 . . . . . . . . . . . . . . . 729--732
Bengt Nordström Preface . . . . . . . . . . . . . . . . 2--4
Loïc Colson On list primitive recursion and the
complexity of computing inf . . . . . . 5--9
Thierry Coquand The paradox of trees in type theory . . 10--14
Joëlle Despeyroux Theo: an interactive proof development
system . . . . . . . . . . . . . . . . . 15--29
Daniel Fredholm and
Svetozar Serafimovski Partial inductive definitions as
type-systems for $\lambda$-terms . . . . 30--44
Lars Hallnäs On systems of definitions, induction and
recursion . . . . . . . . . . . . . . . 45--63
G. Mints Complexity of subclasses of the
intuitionistic propositional calculus 64--69
Erik Palmgren and
Viggo Stoltenberg-Hansen Remarks on Martin-Löf's partial type
theory . . . . . . . . . . . . . . . . . 70--83
Anne Salvesen On specifications, subset types and
interpretation of proposition in type
theory . . . . . . . . . . . . . . . . . 84--101
A. Bellen and
Z. Jackiewicz and
M. Zennaro Local error estimation for
singly-implicit formulas by two-step
Runge--Kutta methods . . . . . . . . . . 104--117
J. C. Butcher and
F. H. Chipman Generalized Padé approximations to the
exponential function . . . . . . . . . . 118--130
M. P. Calvo and
J. M. Sanz-Serna Order conditions for canonical
Runge--Kutta--Nyström methods . . . . . . 131--142
Sylvan Elhay and
Gene H. Golub and
Jaroslav Kautský Jacobi matrices for sums of weight
functions . . . . . . . . . . . . . . . 143--166
Qun Lin and
J. G. Rokne A family of centered forms for a
polynomial . . . . . . . . . . . . . . . 167--176
John R. Gilbert Algorithm Theory . . . . . . . . . . . . 177--179
Anonymous Preface . . . . . . . . . . . . . . . . 178--179
Ravi Boppana and
Magnús M. Halldórsson Approximating maximum independent sets
by excluding subgraphs . . . . . . . . . 180--196
Stefan Arnborg and
Andrzej Proskurowski Canonical representations of partial
$2$- and $3$-trees . . . . . . . . . . . 197--214
Grammati E. Pantziou and
Paul G. Spirakis and
Christos D. Zaroliagis Efficient parallel algorithms for
shortest paths in planar digraphs . . . 215--236
David Eppstein Finding the $k$ smallest spanning trees 237--248
John Hershberger and
Subhash Suri Applications of a semi-dynamic convex
hull algorithm . . . . . . . . . . . . . 249--267
Marc van Kreveld and
Mark Overmars and
Pankaj K. Agarwal Intersection queries in sets of disks 268--279
Christos Levcopoulos and
Andrzej Lingas Fast algorithms for greedy triangulation 280--296
Ricardo Baeza-Yates and
Gaston H. Gonnet and
Nivio Ziviani Improved bounds for the expected
behaviour of AVL trees . . . . . . . . . 297--315
Thomas Papadakis and
J. Ian Munro and
Patricio V. Poblete Average search and update costs in skip
lists . . . . . . . . . . . . . . . . . 316--332
Götz E. Alefeld and
Florian A. Potra Some efficient methods for enclosing
simple zeros of nonlinear equations . . 334--344
Satoshi Saito and
Hiroshi Sugiura and
Taketomo Mitsui Butcher's simplifying assumption for
symplectic integrators . . . . . . . . . 345--349
Jòrgen Sand and
Stig Skelboe Stability of backward Euler multirate
methods and convergence of waveform
relaxation . . . . . . . . . . . . . . . 350--366
D. Stoffer and
K. Nipp Erratum: ``Invariant curves for variable
step size integrators'' [BIT \bf 31(1),
1991, pp. 169--180; MR 91m:65204] . . . 367--368
J. Blieberger and
U. Schmid FCFS-scheduling in a hard real-time
environment under rush-hour conditions 370--383
Mamoru Hoshi and
Philippe Flajolet Page usage in a quadtree index . . . . . 384--402
Rong Hong Jan and
Lih-Hsing Hsu and
Yueh-Ying Lee The most vital edges with respect to the
number of spanning trees in two-terminal
series-parallel graphs . . . . . . . . . 403--412
Mark Levene and
George Loizou Inferring null join dependencies in
relational databases . . . . . . . . . . 413--429
Harry G. Mairson The Effect of Table Expansion on the
Program Complexity of Perfect Hash
Functions . . . . . . . . . . . . . . . 430--440
E. F. D'Azevedo and
P. A. Forsyth and
Wei Pai Tang Towards a cost-effective ILU
preconditioner with high level fill . . 442--463
Ilan Bar-On and
Avram Sidi New algorithms for polynomial and
trigonometric interpolation on parallel
computers . . . . . . . . . . . . . . . 464--480
Tony F. Chan and
Julia A. Olkin and
Donald W. Cooley Solving quadratically constrained least
squares using black box solvers . . . . 481--494
Mladen Rogina Basis of splines associated with some
singular differential operators . . . . 496--505
Ralf Wolke Iteratively reweighted least squares: a
comparison of several single step
algorithms for linear models . . . . . . 506--524
N. Kjurkchiev Note on the estimation of the order of
convergence of some iterative methods 525--528
Andreas Guthmann Effective primality tests for integers
of the forms $N=k\cdot 3^n+1$ and
$N=k\cdot 2^m3^n+1$ . . . . . . . . . . 529--534
Ch. Lubich Chebyshev acceleration of
Picard--Lindelöf iteration . . . . . . . 535--538
Satoshi Saito and
Hiroshi Sugiura and
Taketomo Mitsui Family of symplectic implicit
Runge--Kutta formulae . . . . . . . . . 539--543
Anonymous New Books And Journals . . . . . . . . . 544--544
Tung Shou Chen and
Wei Pang Yang and
R. C. T. Lee Amortized analysis of some disk
scheduling algorithms: SSTF, SCAN, and
$N$-StepSCAN . . . . . . . . . . . . . . 546--558
K. Coolsaet and
H. De Meyer and
V. Fack Optimal algorithms for total exchange
without buffering on the hypercube . . . 559--569
Jeannette M. de Graaf and
Walter A. Kosters Expected heights in heaps . . . . . . . 570--579
Jyrki Katajainen and
Tomi Pasanen Stable minimum space partitioning in
linear time . . . . . . . . . . . . . . 580--585
Stephan Olariu and
James L. Schwing and
Jingyuan Zhang A constant-time channel-assignment
algorithm on reconfigurable meshes . . . 586--597
A. Louise Perkins A mixed directed-undirected data
structure for a parallel implementation
of a domain decomposition algorithm . . 598--608
Chang Wu Yu and
Gen-Huey Chen The weighted maximum independent set
problem in permutation graphs . . . . . 609--618
Diego Bricio Hernández and
Renato Spigler $A$-stability of Runge--Kutta methods
for systems with additive noise . . . . 620--633
K. J. in 't Hout A new interpolation procedure for
adapting Runge--Kutta methods to delay
differential equations . . . . . . . . . 634--649
Xiao-Qing Jin and
Raymond H. Chan Circulant preconditioners for second
order hyperbolic equations . . . . . . . 650--664
J. N. Lyness and
T. Sòrevik An algorithm for finding optimal
integration lattices of composite order 665--675
Michael Müller An inverse eigenvalue problem: computing
$B$-stable Runge--Kutta methods having
real poles . . . . . . . . . . . . . . . 676--688
Stig Skelboe Methods for parallel integration of
stiff systems of ODEs . . . . . . . . . 689--701
Ji Guang Sun Componentwise perturbation bounds for
some matrix decompositions . . . . . . . 702--714
Anonymous Acknowledgements . . . . . . . . . . . . 715--716
Anonymous New books and journals . . . . . . . . . 716--716
M. D. Atkinson and
Murali Thiyagarajah The permutational power of a priority
queue . . . . . . . . . . . . . . . . . 1--6
D. Bhagavathi and
P. J. Looges and
S. Olariu and
J. L. Schwing and
J. Zhang Selection on rectangular meshes with
multiple broadcasting . . . . . . . . . 7--14
F. Cesarini and
G. Soda Single access hashing with overflow
separators for dynamic files . . . . . . 15--28
Giorgio Gambosi and
Marco Protasi and
Maurizio Talamo An efficient implicit data structure for
relation testing and searching in
partially ordered sets . . . . . . . . . 29--45
Horng Twu Liaw and
Chin Laung Lei An optimal algorithm to assign
cryptographic keys in a tree structure
for access control . . . . . . . . . . . 46--56
Iain A. Stewart On parallelizing a greedy heuristic for
finding small dominant sets . . . . . . 57--62
Carsten Carstensen On quadratic-like convergence of the
means for two methods for simultaneous
rootfinding of polynomials . . . . . . . 63--73
M. Crouzeix and
S. Larsson and
S. Piskarëv and
V. Thomée The stability of rational approximations
of analytic semigroups . . . . . . . . . 74--84
Germund Dahlquist A ``multigrid'' extension of the FFT for
the numerical inversion of Fourier and
Laplace transforms . . . . . . . . . . . 85--112
Franz-Jürgen Delvos Hermite interpolation with trigonometric
polynomials . . . . . . . . . . . . . . 113--123
Nicholas J. Higham Perturbation theory and backward error
analysis for $AX-XB=C$ . . . . . . . . . 124--136
Laurent Jay Convergence of a class of Runge--Kutta
methods for differential-algebraic
systems of index $2$ . . . . . . . . . . 137--150
Stanis\law Lewanowicz Error bounds for a near-minimax
approximation . . . . . . . . . . . . . 151--157
Haesun Park and
Vjeran Hari A real algorithm for the Hermitian
eigenvalue decomposition . . . . . . . . 158--171
Robert D. Skeel Variable step size destabilizes the
Störmer/Leapfrog/Verlet method . . . . . 172--175
Celina Imieli\'nska and
Bahman Kalantari A generalized hypergreedy algorithm for
weighted perfect matching . . . . . . . 177--189
Lars Lundberg Performance bounds on multiprocessor
scheduling strategies for statically
allocated programs . . . . . . . . . . . 190--213
Roland Olsson Execution of logic programs by
iterative-deepening $A^*$ SLD-tree
search . . . . . . . . . . . . . . . . . 214--231
Ondrej Sýkora and
Imrich V\vr\softto On crossing numbers of hypercubes and
cube connected cycles . . . . . . . . . 232--237
Cao An Wang Efficiently updating constrained
Delaunay triangulations . . . . . . . . 238--252
Tony Barrera and
Pelle Olsson An Integer Based Square Root Algorithm 253--261
Achiya Dax A row relaxation method for large
minimax problems . . . . . . . . . . . . 262--276
Walter Gautschi Is the recurrence relation for
orthogonal polynomials always stable? 277--284
Desmond J. Higham and
Lloyd N. Trefethen Stiffness of ODEs . . . . . . . . . . . 285--303
Ren Cang Li A perturbation bound for the generalized
polar decomposition . . . . . . . . . . 304--308
Peter K. Moore and
Joseph E. Flaherty High-order adaptive finite
element-singly implicit Runge--Kutta
methods for parabolic differential
equations . . . . . . . . . . . . . . . 309--331
Stefan Schneider Numerical experiments with a multistep
Radau method . . . . . . . . . . . . . . 332--350
Anonymous New Books and Journals . . . . . . . . . 351--351
Hong Chich Chou and
Chung Ping Chung Modeling of superscalar instruction
scheduling and analysis of a heuristic
scheduling algorithm . . . . . . . . . . 354--371
Ronald D. Dutton Weak-heap sort . . . . . . . . . . . . . 372--381
J. K. Jan and
C. C. Chang A key-lock-pair oriented access control
scheme for the growth of users and files 382--389
Chiou Kuo Liang An $O(n^2)$ algorithm for finding the
compact sets of a graph . . . . . . . . 390--395
S. Olariu and
J. L. Schwing and
J. Zhang Optimal convex hull algorithms on
enhanced meshes . . . . . . . . . . . . 396--410
Patricio V. Poblete A note on the height of the $k$th
element in a heap . . . . . . . . . . . 411--412
Chang Wu Yu and
Gen Huey Chen Parallel algorithms for permutation
graphs . . . . . . . . . . . . . . . . . 413--419
Ming Shing Yu and
Cheng Hsing Yang A linear time algorithm for the maximum
matching problem on cographs . . . . . . 420--432
P. Amodio and
F. Mazzia and
D. Trigiante Stability of some boundary value methods
for the solution of initial value
problems . . . . . . . . . . . . . . . . 434--451
J. C. Butcher and
Z. Jackiewicz Diagonally implicit general linear
methods for ordinary differential
equations . . . . . . . . . . . . . . . 452--472
D. Calvetti and
L. Reichel Fast inversion of Vandermonde-like
matrices involving orthogonal
polynomials . . . . . . . . . . . . . . 473--484
Ulla Miekkala Graph properties for splitting with
grounded Laplacian matrices . . . . . . 485--495
Jochen W. Schmidt and
Walter Heß $S$-convex, monotone, and positive
interpolation with rational bicubic
splines of $C^2$-continuity . . . . . . 496--511
H. Schwetlick and
V. Kunert Spline smoothing under constraints on
derivatives . . . . . . . . . . . . . . 512--528
Chin-Chen Chang and
Huey-Cheue Kowng and
Tzong-Chen Wu A refinement of a compression-oriented
addressing scheme . . . . . . . . . . . 529--535
Jong-Jen Chen and
Chiau-Shin Wang and
Ching-Roung Chou A general performance analysis method
for uniform memory architectures . . . . 536--560
Evan P. Harris and
Kotagiri Ramamohanarao Optimal dynamic multi-attribute hashing
for range queries . . . . . . . . . . . 561--579
Klaus Jansen and
Gerhard J. Woeginger The complexity of detecting
crossing-free configurations in the
plane . . . . . . . . . . . . . . . . . 580--595
Olav Lysne The equational part of proofs by
structural induction . . . . . . . . . . 596--618
A. H. Al-Rabeh Optimal order diagonally implicit
Runge--Kutta methods . . . . . . . . . . 619--633
Bernard Bialecki and
D. Scott Dillery Fourier analysis of Schwarz alternating
methods for piecewise Hermite bicubic
orthogonal spline collocation . . . . . 634--646
G. Di Lena and
R. I. Peluso and
G. Piazza Results on the relative perturbation of
the singular values of a matrix . . . . 647--653
Diego Bricio Hernández and
Renato Spigler Convergence and stability of implicit
Runge--Kutta methods for systems with
multiplicative noise . . . . . . . . . . 654--669
Stefan Schneider Convergence results for general linear
methods on singular perturbation
problems . . . . . . . . . . . . . . . . 670--686
Inge Söderkvist Perturbation analysis of the orthogonal
Procrustes problem . . . . . . . . . . . 687--694
Shu Fang Xu A stability analysis of the Jacobi
matrix inverse eigenvalue problem . . . 695--702
Anonymous Acknowledgements . . . . . . . . . . . . 703--703
Anonymous New books and journals . . . . . . . . . 704--704
Åke Björck and
C. C. Paige Solution of augmented linear systems
using orthogonal factorizations . . . . 1--24
J. C. Butcher A transformation for the analysis of
DIMSIMs . . . . . . . . . . . . . . . . 25--32
Christina C. Christara Quadratic spline collocation methods for
elliptic partial differential equations 33--61
Terje O. Espelid On integrating vertex singularities
using extrapolation . . . . . . . . . . 62--79
E. Hairer and
A. Murua and
J. M. Sanz-Serna The non-existence of symplectic
multi-derivative Runge--Kutta methods 80--87
Desmond J. Higham Runge--Kutta stability on a Floquet
problem . . . . . . . . . . . . . . . . 88--98
Thomas Huckle Fast transforms for tridiagonal linear
equations . . . . . . . . . . . . . . . 99--112
J. F. B. M. Kraaijevanger Two counterexamples related to the
Kreiss matrix theorem . . . . . . . . . 113--119
Giuseppe Mastroianni and
Siegfried Prössdorf Some nodes matrices appearing in the
numerical analysis for singular integral
equations . . . . . . . . . . . . . . . 120--128
Vladimir Maz'ya and
Vladimir Karlin Semi-analytic time-marching algorithms
for semi-linear parabolic equations . . 129--147
Peter Naur Proof versus formalization . . . . . . . 148--164
Axel Ruhe The Rational Krylov algorithm for
nonsymmetric Eigenvalue problems. III:
Complex shifts for real matrices . . . . 165--176
Axel Ruhe Carl-Erik Fröberg on his 75th birthday
June 23, 1993 . . . . . . . . . . . . . i--ii
A. M. Bruaset and
A. Tveito A numerical study of optimized sparse
preconditioners . . . . . . . . . . . . 177--204
P. C. Chakravarti and
M. Barrientos On a fast and accurate method for
computing Fourier transforms . . . . . . 205--214
M. R. Crisci Parallel frontal methods for ODE's . . . 215--227
J. L. M. van Dorsselaer and
W. Hundsdorfer Stability estimates based on numerical
ranges with an application to a spectral
method . . . . . . . . . . . . . . . . . 228--238
M. Gulliksson Iterative refinement for constrained and
weighted linear least squares . . . . . 239--253
G. Q. Han Asymptotic error expansion for the
Nyström method for nonlinear Fredholm
integral equations of the second kind 254--261
T. Koto A stability property of $A$-stable
natural Runge--Kutta methods for systems
of delay differential equations . . . . 262--267
A. Liu and
B. Joe Relationship between tetrahedron shape
measures . . . . . . . . . . . . . . . . 268--287
E. Novak and
K. Petras Optimal stochastic quadrature formulas
for convex functions . . . . . . . . . . 288--294
J. Schneid A characterization of compactly
supported orthonormal wavelets . . . . . 295--303
W. J. Walker A summability method for the arithmetic
Fourier transform . . . . . . . . . . . 304--309
E. Hairer and
G. Wanner Symplectic Runge--Kutta methods with
real eigenvalues . . . . . . . . . . . . 310--312
X.-Q. Jin A note on best conditioned
preconditioners . . . . . . . . . . . . 313--317
N. Kjurkchiev and
K. Mahdi Some remarks on Dvorcuk's root-finding
method . . . . . . . . . . . . . . . . . 318--322
Anonymous Books . . . . . . . . . . . . . . . . . 323--323
Anonymous New books and journals . . . . . . . . . 323--323
M. Bjòrhus On dynamic iteration for delay
differential equations . . . . . . . . . 325--336
P. B. Bochev and
C. Scovel On quadratic invariants and symplectic
structure . . . . . . . . . . . . . . . 337--345
B. Della Vecchia Two new formulas for the numerical
evaluation of the Hilbert Transform . . 346--360
Inmaculada Higueras Runge--Kutta schemes that maintain
invariant solutions for differential
algebraic systems . . . . . . . . . . . 361--366
X.-Q. Jin Hartley preconditioners for Toeplitz
systems generated by positive continuous
functions . . . . . . . . . . . . . . . 367--371
Kristján Jónasson and
Kaj Madsen Corrected sequential linear programming
for sparse minimax optimization . . . . 372--387
Zeynep F. Koçak and
George M. Phillips B-splines with geometric knot spacings 388--399
J. X. Kuang and
J. X. Xiang and
H. J. Tian The asymptotic stability of
one-parameter methods for neutral
differential equations . . . . . . . . . 400--408
K. Meerbergen and
A. Spence and
D. Roose Shift-invert and Cayley transforms for
detection of rightmost eigenvalues of
nonsymmetric matrices . . . . . . . . . 409--423
Inge Söderkvist and
Per-Åke Wedin On condition numbers and algorithms for
determining a rigid body movement . . . 424--436
Musheng Wei and
Birong Zhang Structures and uniqueness conditions of
$MK$-weighted pseudoinverses . . . . . . 437--450
Ö. J. Rödseth A note on primality tests for $N = h
\cdot 2^n - 1$ . . . . . . . . . . . . . 451--454
Taifun Alishenas and
Örn Ólafsson Modeling and velocity stabilization of
constrained mechanical systems . . . . . 455--483
Bengt Aspvall and
Pinar Heggernes Finding minimum height elimination trees
for interval graphs in polynomial time 484--509
Åke Björck and
Eric Grimme and
Paul Van Dooren An implicit shift bidiagonalization
algorithm for ill-posed systems . . . . 510--534
Annie Cuyt On the convergence of the multivariate
``homogeneous'' $qd$-algorithm . . . . . 535--545
Paola Favati and
Grazia Lotti and
Francesco Romani Theoretical and practical efficiency
measures for symmetric interpolatory
quadrature formulas . . . . . . . . . . 546--557
Walter Gander and
Gene H. Golub and
Rolf Strebel Least-squares fitting of circles and
ellipses . . . . . . . . . . . . . . . . 558--578
Stefano Serra Preconditioning strategies for
asymptotically ill-conditioned block
Toeplitz systems . . . . . . . . . . . . 579--594
Anonymous Acknowledgements . . . . . . . . . . . . 595--595
Anonymous Index . . . . . . . . . . . . . . . . . 596--598
Anders Barrlund Comparing stability properties of three
methods in DAEs or ODEs with invariants 1--18
Baruch Cahlon On the stability of Volterra integral
equations with a lagging argument . . . 19--29
Simon S. Clift and
Wei-Pai Tang Weighted graph based ordering techniques
for preconditioned conjugate gradient
methods . . . . . . . . . . . . . . . . 30--47
D. J. Evans and
Guang-Yao Lei Approximate inverses of multidiagonal
matrices and application to the block
PCG method . . . . . . . . . . . . . . . 48--63
D. B. Hunter Some error expansions for Gaussian
quadrature . . . . . . . . . . . . . . . 64--82
Rolf Jeltsch and
Rosemary A. Renaut and
Kosie J. H. Smit The maximal accuracy of stable
difference schemes for the wave equation 83--115
Noah H. Rhee and
Vjeran Hari On the cubic convergence of the
Paardekooper method . . . . . . . . . . 116--132
Chang Zhong Zhu and
Charles B. Dunham Parameter error estimate of near
alternation approximation . . . . . . . 133--142
Carmen Arévalo and
Gustaf Söderlind Convergence of multistep discretizations
of DAEs . . . . . . . . . . . . . . . . 143--168
C. Brezinski and
M. Redivo-Zaglia Look-ahead in BI-CGSTAB and other
product methods for linear systems . . . 169--201
J. C. Butcher On fifth order Runge--Kutta methods . . 202--209
S. Farestam and
R. B. Simpson A framework for advancing front
techniques of finite element mesh
generation . . . . . . . . . . . . . . . 210--232
T. N. T. Goodman and
C. A. Micchelli and
G. Rodriguez and
S. Seatzu On the Cholesky factorization of the
Gram matrix of locally supported
functions . . . . . . . . . . . . . . . 233--257
Robert I. McLachlan Composition methods in the presence of
small parameters . . . . . . . . . . . . 258--268
A. Portillo and
J. M. Sanz-Serna Lack of dissipativity is not
symplecticness . . . . . . . . . . . . . 269--276
Philip Rabinowitz and
Elisabetta Santi On the uniform convergence of Cauchy
principal values of quasi-interpolating
splines . . . . . . . . . . . . . . . . 277--290
Morten Bjòrhus A note on the convergence of discretized
dynamic iteration . . . . . . . . . . . 291--296
Carmen Arévalo and
Per Lötstedt Improving the accuracy of BDF methods
for index $3$ differential-algebraic
equations . . . . . . . . . . . . . . . 297--308
J. Drko\vsová and
A. Greenbaum and
M. Rozlo\vzník and
Z. Strako\vs Numerical stability of GMRES . . . . . . 309--330
David Lee and
Henryk Wo\'zniakowski Testing linear operators . . . . . . . . 331--351
Wolfram Luther Highly accurate tables for elementary
functions . . . . . . . . . . . . . . . 352--360
Hubert Schwetlick and
Torsten Schütze Least squares approximation by splines
with free knots . . . . . . . . . . . . 361--384
Ji-Guang Sun A note on backward perturbations for the
Hermitian eigenvalue problem . . . . . . 385--393
Jukka Tuomela A note on high order schemes for the
one-dimensional wave equation . . . . . 394--405
J. H. Verner and
M. Zennaro The Orders of Embedded Continuous
Explicit Runge--Kutta Methods . . . . . 406--416
Jungong Xue and
Erxiong Jiang Entrywise relative perturbation theory
for nonsingular $M$-matrices and
applications . . . . . . . . . . . . . . 417--427
Plamen Y. Yalamov On the stability of the cyclic reduction
without back substitution for
tridiagonal systems . . . . . . . . . . 428--447
Hongyuan Zha and
Zhenyue Zhang A note on constructing a symmetric
matrix with specified diagonal entries
and eigenvalues . . . . . . . . . . . . 448--452
Mårten Gulliksson On the modified Gram--Schmidt algorithm
for weighted and constrained linear
least squares problems . . . . . . . . . 453--468
A. Hadjidimos and
D. Noutsos and
M. Tzoumas Exact SOR convergence regions for a
general class of $p$-cyclic matrices . . 469--487
Dinh Nho H\`ao and
H.-J. Reinhardt and
A. Schneider Stable approximation of fractional
derivatives of rough functions . . . . . 488--503
Guang-Da Hu and
Taketomo Mitsui Stability analysis of numerical methods
for systems of neutral
delay-differential equations . . . . . . 504--515
Zhongxiao Jia A block incomplete orthogonalization
method for large nonsymmetric
eigenproblems . . . . . . . . . . . . . 516--539
Tianzi Jiang On a new kind of Birkhoff type
trigonometric interpolation . . . . . . 540--547
Vladimir Karlin and
Vladimir Maz\cprimeya Time-marching algorithms for
initial-boundary value problems based
upon ``approximate approximations'' . . 548--560
Qun Lin and
J. G. Rokne An interval iteration for multiple roots
of transcendental equations . . . . . . 561--571
Hans Munthe-Kaas Lie--Butcher theory for Runge--Kutta
methods . . . . . . . . . . . . . . . . 572--587
Michael A. Saunders Solution of sparse rectangular systems
using LSQR and Craig . . . . . . . . . . 588--604
N. Yu. Bakaev On the bounds of approximations of
holomorphic semigroups . . . . . . . . . 605--608
J. Bohman and
C.-E. Fröberg Heuristic investigation of chaotic
mapping producing fractal objects . . . 609--615
Anonymous Acknowledgements . . . . . . . . . . . . 616--616
Anonymous Index . . . . . . . . . . . . . . . . . 617--619
C. Arévalo and
C. Führer and
G. Söderlind Stabilized multistep methods for index
$2$ Euler--Lagrange DAEs . . . . . . . . 1--13
Jesse L. Barlow and
Peter A. Yoon and
Hongyuan Zha An algorithm and a stability theory for
downdating the ULV decomposition . . . . 14--40
J. M. Bennett and
J. J. Edwards A graph isomorphism algorithm using
pseudoinverses . . . . . . . . . . . . . 41--53
K. Burrage and
Z. Jackiewicz and
S. P. Nòrsett and
R. A. Renaut Preconditioning waveform relaxation
iterations for differential systems . . 54--76
G. J. Cooper Some linear stability results for
iterative schemes for implicit
Runge--Kutta methods . . . . . . . . . . 77--85
Ivar Gustafsson An incomplete factorization
preconditioning method based on
modification of element matrices . . . . 86--100
Xiao-Qing Jin A preconditioner for constrained and
weighted least squares problems with
Toeplitz structure . . . . . . . . . . . 101--109
Fu-Rong Lin and
Michael K. Ng Higher-order quadratures for circulant
preconditioned Wiener--Hopf equations 110--121
Sebastian Reich Enhancing energy conserving methods . . 122--134
Stefano Serra On the extreme spectral properties of
Toeplitz matrices generated by $L^1$
functions with several minima/maxima . . 135--142
Avram Sidi Further results on convergence and
stability of a generalization of the
Richardson extrapolation process . . . . 143--157
Jukka Tuomela On the construction of arbitrary order
schemes for the many-dimensional wave
equation . . . . . . . . . . . . . . . . 158--165
K. Yoo and
H. Park Accurate downdating of a modified
Gram--Schmidt $QR$ decomposition . . . . 166--181
N. Kjurkchiev A note on the Le Verrier--Fadeev's
method . . . . . . . . . . . . . . . . . 182--186
Anonymous New books and journals . . . . . . . . . 187--187
M. Arioli and
C. Fassino Roundoff error analysis of algorithms
based on Krylov subspace methods . . . . 189--205
Ilan Bar-On and
Bruno Codenotti and
Mauro Leoncini Checking robust nonsingularity of
tridiagonal matrices in linear time . . 206--220
Hermann Brunner and
Lin Qun and
Yan Ningning The iterative correction method for
Volterra integral equations . . . . . . 221--228
R. P. K. Chan and
P. Chartier A composition law for Runge--Kutta
methods applied to index-$2$
differential-algebraic equations . . . . 229--246
L. Eldén and
H. Park Perturbation and error analyses for
block downdating of a Cholesky
decomposition . . . . . . . . . . . . . 247--263
Martin H. Gutknecht and
Marlis Hochbruck Optimized look-ahead recurrences for
adjacent rows in the Padé table . . . . . 264--286
Martin Hanke Limitations of the $L$-curve method in
ill-posed problems . . . . . . . . . . . 287--301
W. S. Luk Finding roots of a real polynomial
simultaneously by means of Bairstow's
method . . . . . . . . . . . . . . . . . 302--308
Arne Marthinsen Continuous extensions to Nyström methods
for second order initial value problems 309--332
Jussi Rahola Diagonal forms of the translation
operators in the fast multipole
algorithm for scattering problems . . . 333--358
M. Sakai and
R. A. Usmani On fair parametric rational cubic curves 359--377
Jòrgen Sand On some stability bounds subject to
Hille--Yosida resolvent conditions . . . 378--386
Antoinetta Venter and
Dirk P. Laurie Automatic quadrature of functions of the
form $g(\vert f(x)\vert)$ . . . . . . . 387--394
B. Kalantari and
I. Kalantari High order iterative methods for
approximating square roots . . . . . . . 395--399
J. Baglama and
D. Calvetti and
L. Reichel Iterative methods for the computation of
a few eigenvalues of a large symmetric
matrix . . . . . . . . . . . . . . . . . 400--421
Thierry Braconnier and
Nicholas J. Higham Computing the Field of Values and
Pseudospectra Using the Lánczos Method
with Continuation . . . . . . . . . . . 422--440
Martin Brühl A curve tracing algorithm for computing
the pseudospectrum . . . . . . . . . . . 441--454
F. Chaitin-Chatelin and
S. Gratton Convergence in finite precision of
successive iteration methods under high
nonnormality . . . . . . . . . . . . . . 455--469
Jane Cullum Arnoldi versus nonsymmetric Lánczos
algorithms for solving matrix eigenvalue
problems . . . . . . . . . . . . . . . . 470--493
Alan Edelman and
Steven T. Smith On conjugate gradient-like methods for
eigen-like problems . . . . . . . . . . 494--508
Jean-Luc Fattebert An inverse iteration method using
multigrid for quantum chemistry . . . . 509--522
S. Gratton On the condition number of linear least
squares problems in a weighted Frobenius
norm . . . . . . . . . . . . . . . . . . 523--530
Olavi Nevanlinna Meromorphic resolvents and power bounded
operators . . . . . . . . . . . . . . . 531--541
B. N. Parlett Invariant subspaces for tightly
clustered eigenvalues of tridiagonals 542--562
Y. Saad and
A. Stathopoulos and
J. Chelikowsky and
K. Wu and
S. Ö\ugüt Solution of large eigenvalue problems in
electronic structure calculations . . . 563--578
V. Simoncini and
M. Sadkane Arnoldi--Riccati method for large
eigenvalue problems . . . . . . . . . . 579--594
Gerard L. G. Sleijpen and
Albert G. L. Booten and
Diederik R. Fokkema and
Henk A. Van der Vorst Jacobi--Davidson type methods for
generalized eigenproblems and polynomial
eigenproblems . . . . . . . . . . . . . 595--633
W. Auzinger and
R. Frank and
G. Kirlinger Extending convergence theory for
nonlinear stiff problems. I . . . . . . 635--652
C. Bendtsen On the construction of stiffly accurate
and $B$-stable Runge--Kutta methods . . 653--663
S. L. Campbell and
I. C. F. Ipsen and
C. T. Kelley and
C. D. Meyer GMRES and the minimal polynomial . . . . 664--675
F. Costabile and
M. I. Gualtieri and
S. Serra Asymptotic expansion and extrapolation
for Bernstein polynomials with
applications . . . . . . . . . . . . . . 676--687
Z. Jackiewicz and
R. Vermiglio General linear methods with external
stages of different orders . . . . . . . 688--712
K. R. Jackson and
A. Kværnò and
S. P. Nòrsett An analysis of the order of Runge--Kutta
methods that use an iterative scheme to
compute their internal stage values . . 713--765
D. A. MacDonald A note on the summation of slowly
convergent alternating series . . . . . 766--774
Olavi Nevanlinna Convergence of Krylov methods for sums
of two operators . . . . . . . . . . . . 775--785
Wen Shen and
Aslak Tveito and
Ragnar Winther A system of conservation laws including
a stiff relaxation term; the $2$D case 786--813
V. Simoncini On the numerical solution of $AX - XB =
C$ . . . . . . . . . . . . . . . . . . . 814--830
Shlomo Ta'asan and
Hong Zhang Fourier--Laplace analysis of the
multigrid waveform relaxation method for
hyperbolic equations . . . . . . . . . . 831--841
J. M. Varah Least squares data fitting with implicit
functions . . . . . . . . . . . . . . . 842--854
Toshiyuki Koto A stability property of $A$-stable
collocation-based Runge--Kutta methods
for neutral delay differential equations 855--859
Hans Riesel Summation of double series using the
Euler--Maclaurin sum formula . . . . . . 860--862
Anonymous Acknowledgements . . . . . . . . . . . . 863--863
Hermann Brunner On the discretization of differential
and Volterra integral equations with
variable delay . . . . . . . . . . . . . 1--12
Ove Edlund Linear $M$-estimation with bounded
variables . . . . . . . . . . . . . . . 13--23
Desmond J. Higham Time-stepping and preserving
orthonormality . . . . . . . . . . . . . 24--36
Adrian T. Hill Dissipativity of Runge--Kutta methods in
Hilbert spaces . . . . . . . . . . . . . 37--42
Yoshio Komori and
Taketomo Mitsui and
Hiroshi Sugiura Rooted tree analysis of the order
conditions of ROW-type scheme for
stochastic differential equations . . . 43--66
Ren-Cang Li Relative perturbation bounds for the
unitary polar factor . . . . . . . . . . 67--75
Ewald Quak and
Norman Weyrich Algorithms for spline wavelet packets on
an interval . . . . . . . . . . . . . . 76--95
Michael A. Saunders Computing projections with LSQR . . . . 96--104
Torsten Schütze and
Hubert Schwetlick Constrained approximation by splines
with free knots . . . . . . . . . . . . 105--137
R. Bruce Simpson A data modeling abstraction for
describing triangular mesh algorithms 138--163
E. Sterner Semi-implicit Runge--Kutta schemes for
the Navier--Stokes equations . . . . . . 164--178
Ji-Guang Sun On optimal backward perturbation bounds
for the linear least squares problem . . 179--188
Guido Walz Identities for trigonometric B-splines
with an application to curve design . . 189--201
Hongyuan Zha and
Zhenyue Zhang Computing the optimal commuting matrix
pairs . . . . . . . . . . . . . . . . . 202--220
C. Bendtsen On implicit Runge--Kutta methods with
high stage order . . . . . . . . . . . . 221--226
Helmut Brass and
Knut Petras On a conjecture of D. B. Hunter . . . . 227--231
George M. Phillips A de Casteljau algorithm for generalized
Bernstein polynomials . . . . . . . . . 232--236
N. Yu. Bakaev On the Galerkin finite element
approximations to multi-dimensional
differential and integro-differential
parabolic equations . . . . . . . . . . 237--255
Germund Dahlquist On summation formulas due to Plana,
Lindelöf and Abel, and related
Gauss--Christoffel rules. I . . . . . . 256--295
M. Dryja and
W. Hackbusch On the nonlinear domain decomposition
method . . . . . . . . . . . . . . . . . 296--311
Yu Yu Feng and
Jernej Kozak On $G^2$ continuous cubic spline
interpolation . . . . . . . . . . . . . 312--332
Luca Gemignani Polynomial root computation by means of
the LR algorithm . . . . . . . . . . . . 333--345
W. Hoffmann and
J. J. B. de Swart Approximating Runge--Kutta matrices by
triangular matrices . . . . . . . . . . 346--354
David Lee and
Henryk Wo\'zniakowski Testing linear operators --- an average
case study . . . . . . . . . . . . . . . 355--376
Zbigniew Leyk Breakdowns and stagnation in iterative
methods . . . . . . . . . . . . . . . . 377--403
Robert Plato The Galerkin scheme for Lavrentiev's
$m$-times iterated method to solve
linear accretive Volterra integral
equations of the first kind . . . . . . 404--423
Stefan Schneider Convergence of general linear methods on
differential-algebraic systems of index
$3$ . . . . . . . . . . . . . . . . . . 424--441
M. N. Spijker and
F. A. J. Straetemans Error growth analysis via stability
regions for discretizations of initial
value problems . . . . . . . . . . . . . 442--464
Geetha Ramaswami Higher order symplectic RK and RKN
methods using perturbed collocation . . 465--471
Anonymous New Books . . . . . . . . . . . . . . . 472--472
Fernando L. Alvarado Matrix enlarging methods and their
application . . . . . . . . . . . . . . 473--505
Cleve Ashcraft and
Joseph W. H. Liu Using domain decomposition to find graph
bisectors . . . . . . . . . . . . . . . 506--534
P. C. Hansen and
Tz. Ostromsky and
A. Sameh and
Z. Zlatev Solving sparse linear least-squares
problems on some supercomputers by using
large dense blocks . . . . . . . . . . . 535--558
Gary Kumfert and
Alex Pothen Two improved algorithms for envelope and
wavefront reduction . . . . . . . . . . 559--590
Oleg Burdakov A greedy algorithm for the optimal basis
problem . . . . . . . . . . . . . . . . 591--599
Achiya Dax A proximal point algorithm for minimax
problems . . . . . . . . . . . . . . . . 600--622
S. C. Brenner and
L.-Y. Sung Multigrid methods for the computation of
singular solutions and stress intensity
factors. II. Crack singularities . . . . 623--643
T. F. Chan and
W. P. Tang and
W. L. Wan Wavelet sparse approximate inverse
preconditioners . . . . . . . . . . . . 644--660
C. C. Douglas and
S. Malhotra and
M. H. Schultz A characterization of mapping
unstructured grids onto structured grids
and using multigrid as a preconditioner 661--677
J. Douglas, Jr. and
C.-S. Huang An accelerated domain decomposition
procedure based on Robin transmission
conditions . . . . . . . . . . . . . . . 678--686
G. H. Golub and
G. Meurant Matrices, moments and quadrature. II.
How to compute the norm of the error in
iterative methods . . . . . . . . . . . 687--705
A. Greenbaum and
M. Rozlo\vzník and
Z. Strako\vs Numerical behaviour of the modified
Gram--Schmidt GMRES implementation . . . 706--719
C. Lacour and
Y. Maday Two different approaches for matching
nonconforming grids: the mortar element
method and the FETI method . . . . . . . 720--738
H. Lötzbeyer and
U. Rüde Patch-adaptive multilevel iteration . . 739--758
Th. Rottner and
I. Lenhardt and
G. Alefeld and
K. Schweizerhof Nonlinear structural finite element
analysis using the preconditioned Lánczos
method on serial and parallel computers 759--769
K. Burrage and
P. M. Burrage and
J. A. Belward A bound on the maximum strong order of
stochastic Runge--Kutta methods for
stochastic ordinary differential
equations . . . . . . . . . . . . . . . 771--780
Christina C. Christara and
Barry Smith Multigrid and multilevel methods for
quadratic spline collocation . . . . . . 781--803
Germund Dahlquist On summation formulas due to Plana,
Lindelöf and Abel, and related
Gauss--Christoffel rules. II . . . . . . 804--832
Jos L. M. van Dorsselaer Pseudospectra for matrix pencils and
stability of equilibria . . . . . . . . 833--845
Karl Entacher Quasi-Monte Carlo methods for numerical
integration of multivariate Haar series 846--861
Rune Karlson and
Bertil Waldén Estimation of optimal backward
perturbation bounds for the linear least
squares problem . . . . . . . . . . . . 862--869
T. Koto NP-stability of Runge--Kutta methods
based on classical quadrature . . . . . 870--884
Michael K. Ng Preconditioning of elliptic problems by
approximation in the transform domain 885--900
Peeter Oja Low degree rational spline interpolation 901--909
J. M. Peña Backward stability of a pivoting
strategy for sign-regular linear systems 910--924
G. De Samblanx and
K. Meerbergen and
A. Bultheel The implicit application of a rational
filter in the RKS method . . . . . . . . 925--947
Jochen W. Schmidt and
Walter Hess Fair upper bounds for the curvature in
univariate convex interpolation . . . . 948--960
G. W. Stewart On the weighting method for least
squares problems with linear equality
constraints . . . . . . . . . . . . . . 961--967
Jukka Tuomela On singular points of quasilinear
differential and differential-algebraic
equations . . . . . . . . . . . . . . . 968--977
Aihui Zhou Multi-parameter error resolution for the
collocation method of Volterra integral
equations . . . . . . . . . . . . . . . 978--987
Anonymous Publisher's announcement . . . . . . . . 988--988
Anonymous Acknowledgements . . . . . . . . . . . . 989--989
Anonymous Index . . . . . . . . . . . . . . . . . 990--993
Rajendra Bhatia and
Fuad Kittaneh and
Ren-Cang C. Li Eigenvalues of symmetrizable matrices 1--11
Christopher Burnton and
Rudolf Scherer Gauss--Runge--Kutta--Nyström methods . . 12--21
E. Gallestey Computing spectral value sets using the
subharmonicity of the norm of rational
matrices . . . . . . . . . . . . . . . . 22--33
Per Christian Hansen Rank-deficient prewhitening with
quotient SVD and ULV decompositions . . 34--43
D. J. Higham and
A. M. Stuart Analysis of the dynamics of local error
control via a piecewise continuous
residual . . . . . . . . . . . . . . . . 44--57
M. Huhtanen An alternative to the Ritz pairs with
the EN subspace method . . . . . . . . . 58--71
Karel in 't Hout and
Christian Lubich Periodic orbits of delay differential
equations under discretization . . . . . 72--91
Hans Munthe-Kaas Runge--Kutta methods on Lie groups . . . 92--111
M. Petkovi\'c and
\Dbar. Herceg and
S. Ili\'c Point estimation and some applications
to iterative methods . . . . . . . . . . 112--126
Mustafa C. Pinar and
Samir Elhedhli A penalty continuation method for the
$l_\infty$ solution of overdetermined
linear systems . . . . . . . . . . . . . 127--150
Constantin Popa Extensions of block-projections methods
with relaxation parameters to
inconsistent and rank-deficient
least-squares problems . . . . . . . . . 151--176
Yair Shapira Coloring update methods . . . . . . . . 177--185
Kiyotaka Yamamura and
Hitomi Kawata and
Ai Tokue Interval solution of nonlinear equations
using linear programming . . . . . . . . 186--199
Hongyuan Zha and
Zhenyue Zhang Modifying the generalized singular value
decomposition with application in
direction-of-arrival finding . . . . . . 200--216
Dieter Britz An error propagation in the numerical
literature . . . . . . . . . . . . . . . 217--218
Suchin Arunsawatwong Stability of Zakian $I_{MN}$ recursions
for linear delay differential equations 219--233
Michele Benzi and
Miroslav T\ocirc uma Numerical experiments with two
approximate inverse preconditioners . . 234--241
Xing Cai and
Even Mehlum Application of Cauchy integrals and
singular integral equations in scattered
data problems . . . . . . . . . . . . . 242--255
G. Criscuolo and
L. Scuderi The numerical evaluation of Cauchy
principal value integrals with
non-standard weight functions . . . . . 256--274
Tommy Elfving A stationary iterative pseudoinverse
algorithm . . . . . . . . . . . . . . . 275--282
Karl Entacher Quasi-Monte Carlo methods for numerical
integration of multivariate Haar series.
II . . . . . . . . . . . . . . . . . . . 283--292
Bertil Gustafsson On the implementation of boundary
conditions for the method of lines . . . 293--314
Arieh Iserles and
Geetha Ramaswami and
Mark Sofroniou Runge--Kutta methods for quadratic
ordinary differential equations . . . . 315--346
Changjun Li and
Baojia Li and
David J. Evans A generalized successive overrelaxation
method for least squares problems . . . 347--355
J. Malinen Properties of iteration of Toeplitz
operators with Toeplitz preconditioners 356--371
Alexei A. Medovikov High order explicit methods for
parabolic equations . . . . . . . . . . 372--390
Bernhard A. Schmitt and
Rüdiger Weiner Equilibrium attractivity of
Krylov-$W$-methods for nonlinear stiff
ODEs . . . . . . . . . . . . . . . . . . 391--414
M. Arnold Half-explicit Runge--Kutta methods with
explicit stages for
differential-algebraic systems of index
$2$ . . . . . . . . . . . . . . . . . . 415--438
A. Aubry and
P. Chartier Pseudo-symplectic Runge--Kutta methods 439--461
N. Yu. Bakaev On the variable stepsize approximations
of a Cauchy problem for the evolution
equation . . . . . . . . . . . . . . . . 462--485
X.-W. Chang and
C. C. Paige On the sensitivity of the LU
factorization . . . . . . . . . . . . . 486--501
S. C. Eisenstat and
I. C. F. Ipsen Relative perturbation results for
eigenvalues and eigenvectors of
diagonalisable matrices . . . . . . . . 502--509
P. Favati and
B. Meini Relaxed functional iteration techniques
for the numerical solution of $M/G/1$
type Markov chains . . . . . . . . . . . 510--526
B. Fisher and
A. Ramage and
D. Silvester and
A. J. Wathen Minimum residual methods for augmented
systems . . . . . . . . . . . . . . . . 527--543
S. Holmgren and
K. Otto A framework for polynomial
preconditioners based on fast transforms
I: Theory . . . . . . . . . . . . . . . 544--559
J. Kamm and
J. G. Nagy A total least squares method for
Toeplitz systems of equations . . . . . 560--582
P. Kravanja and
R. Cools and
A. Haegemans Computing zeros of analytic mappings: a
logarithmic residue approach . . . . . . 583--596
V. Thomée and
A. S. Vasudeva Murthy A numerical method for the Benjamin--Ono
equation . . . . . . . . . . . . . . . . 597--611
G.-Y. Psihoyios and
J. R. Cash A stability result for general linear
methods with characteristic function
having real poles only . . . . . . . . . 612--617
Anonymous Announcement: Householder award X . . . 618--618
G. E. Alefeld and
F. A. Potra and
W. Völker Modifications of the
interval-Newton-method with improved
asymptotic efficiency . . . . . . . . . 619--635
M. Arioli and
V. Pták and
Z. Strakos Krylov sequences of maximal length and
convergence of GMRES . . . . . . . . . . 636--643
J. Becker A second order backward difference
method with variable steps for a
parabolic problem . . . . . . . . . . . 644--662
Y. Cao and
Q. Li The maximum order of multistep formula
for solving index-2
differential-algebraic equations . . . . 663--673
B. Chen and
M. C. Pinar On Newton's method for Huber's robust
$M$-estimation problems in linear
regression . . . . . . . . . . . . . . . 674--684
I. Dhillon Current inverse iteration software can
fail . . . . . . . . . . . . . . . . . . 685--704
M. S. Floater and
A. Iske Thinning algorithms for scattered data
interpolation . . . . . . . . . . . . . 705--720
S. Holmgren and
K. Otto A framework for polynomial
preconditioners based on fast transforms
II: PDE applications . . . . . . . . . . 721--736
T. Koto A criterion for $p$-stability properties
of Runge--Kutta methods . . . . . . . . 737--750
H. Lamba and
A. M. Stuart Convergence results for the MATLAB ode23
routine . . . . . . . . . . . . . . . . 751--780
P. A. Yoon and
J. L. Barlow An efficient rank detection procedure
for modifying the ULV decomposition . . 781--801
A. Aubry and
P. Chartier A note on pseudo-symplectic Runge--Kutta
methods . . . . . . . . . . . . . . . . 802--806
K. D. Ikramov A remark on ``A note on constructing a
symmetric matrix with specified diagonal
entries and eigenvalues'' [BIT \bf
35(3), September 1995, pp. 448--451] . . 807--807
Anonymous Acknowledgements . . . . . . . . . . . . 808--808
Anonymous Index . . . . . . . . . . . . . . . . . 809--812
A. Bellen and
N. Guglielmi and
M. Zennaro On the Contractivity and Asymptotic
Stability of Systems of Delay
Differential Equations of Neutral Type 1--24
Stéphane Cirilli and
Ernst Hairer and
Benedict Leimkuhler Asymptotic Error Analysis of the
Adaptive Verlet Method . . . . . . . . . 25--33
Anthony J. Cox and
Nicholas J. Higham Accuracy and Stability of the Null Space
Method for Solving the Equality
Constrained Least Squares Problem . . . 34--50
Germund Dahlquist On Summation Formulas due to Plana,
Lindelof and Abel, and Related
Gauss--Christoffel Rules, III . . . . . 51--78
Cesáreo González and
Alexander Ostermann Optimal Convergence Results for
Runge--Kutta Discretizations of Linear
Nonautonomous Parabolic Problems . . . . 79--95
Bahman Kalantari On the Order of Convergence of a
Determinantal Family of Root-Finding
Methods . . . . . . . . . . . . . . . . 96--109
T. Koto Naimark--Sacker Bifurcations in the
Euler Method for a Delay Differential
Equation . . . . . . . . . . . . . . . . 110--115
B. Owren and
A. Marthinsen Runge--Kutta Methods Adapted to
Manifolds and Based on Rigid Frames . . 116--142
Siegfried M. Rump Ill-Conditionedness Need Not be
Componentwise Near to Ill-posedness for
Least Squares Problems . . . . . . . . . 143--151
S. Serra Spectral and Computational Analysis of
Block Toeplitz Matrices Having
Nonnegative Definite Matrix-Valued
Generating Functions . . . . . . . . . . 152--175
G. A. Watson Least Squares Fitting of Circles and
Ellipses to Measured Data . . . . . . . 176--191
D. Brunner and
A. Uhl Optimal multipliers for linear
congruential pseudo random number
generators with prime moduli: Parallel
computation and properties . . . . . . . 193--209
Anthony J. Cox and
Nicholas J. Higham Backward error bounds for constrained
least squares problems . . . . . . . . . 210--227
Jerry Eriksson Quasi-Newton methods for nonlinear least
squares focusing on curvatures . . . . . 228--254
M. A. Hernández and
M. A. Salanova How to solve nonlinear equations when a
third-order method is not applicable . . 255--269
Chengming Huang and
Hongyuan Fu and
Shoufu Li and
Guangnan Chen Stability Analysis of Runge--Kutta
Methods for Non-Linear Delay
Differential Equations . . . . . . . . . 270--280
A. Iserles and
A. Marthinsen and
S. P. Nòrsett On the implementation of the method of
Magnus series for linear differential
equations . . . . . . . . . . . . . . . 281--304
T. Lyche and
K. Mòrken The sensitivity of a spline function to
perturbations of the knots . . . . . . . 305--322
Constantin Popa Block-projections algorithms with blocks
containing mutually orthogonal rows and
columns . . . . . . . . . . . . . . . . 323--338
Xiquan Shi and
Renhong Wang The Bezout number for piecewise
algebraic curves . . . . . . . . . . . . 339--349
V. Simoncini Remarks on Non-Linear Spectral
Perturbation . . . . . . . . . . . . . . 350--365
Jürgen Herzberger Scientific Notes --- Bounds for the
Positive Root of a Class of Polynomials
with Applications . . . . . . . . . . . 366--372
Yongzhong Song A Note on an Error Bound for the AOR
Method . . . . . . . . . . . . . . . . . 373--383
P. Amodio and
F. Mazzia A new approach to backward error
analysis of LU factorization . . . . . . 385--402
Ilan Bar-On and
Mauro Leoncini Reliable solution of bidiagonal systems
with applications . . . . . . . . . . . 403--416
Michele Benzi and
Gene H. Golub Bounds for the entries of matrix
functions with applications to
preconditioning . . . . . . . . . . . . 417--438
Franz-Jürgen Delvos and
Ludger Knoche Lacunary interpolation by antiperiodic
trigonometric polynomials . . . . . . . 439--450
Runar Holdahl and
Helge Holden and
Knut-Andreas Lie Unconditionally stable splitting methods
for the shallow water equations . . . . 451--472
Willem Hundsdorfer Stability of approximate factorization
with $\theta$-methods . . . . . . . . . 473--483
W. Lucht and
K. Strehmel and
C. Eichler-Liebenow Indexes and special discretization
methods for linear partial differential
algebraic equations . . . . . . . . . . 484--512
Daniel Potts and
Gabrielle Steidl Preconditioners for ill-conditioned
Toeplitz matrices . . . . . . . . . . . 513--533
Siegfried M. Rump Fast and Parallel Interval Arithmetic 534--554
Jian-Zhong Zhang and
Cheng-Xian Xu A projected indefinite dogleg path
method for equality constrained
optimization . . . . . . . . . . . . . . 555--578
F. Pérez-Acosta and
J. C. Santos-Léon Convergence of Gaussian quadrature and
Lagrange interpolation in Haar systems 579--584
S. Amini and
A. T. J. Profit Analysis of a diagonal form of the fast
multipole algorithm for scattering
theory . . . . . . . . . . . . . . . . . 585--602
D. Calvetti and
G. H. Golub and
L. Reichel Estimation of the $L$-curve via Lánczos
bidiagonalization . . . . . . . . . . . 603--619
Marlis Hochbruck and
Christian Lubich Exponential integrators for
quantum-classical molecular dynamics . . 620--645
P. Kravanja and
T. Sakurai and
M. Van Barel On Locating Clusters of Zeros of
Analytic Functions . . . . . . . . . . . 646--682
Knut-Andreas Lie A dimensional splitting method for
quasilinear hyperbolic equations with
variable coefficients . . . . . . . . . 683--700
J. N. Lyness and
S. Joe A constructive approach to lattice rule
canonical forms . . . . . . . . . . . . 701--715
Leszek Marcinkowski The mortar element method with locally
nonconforming elements . . . . . . . . . 716--739
Ching-Tsuan Pan and
Ping Tak Peter Tang Bounds on singular values revealed by QR
factorizations . . . . . . . . . . . . . 740--756
H. Park and
L. Zhang and
J. B. Rosen Low rank approximation of a Hankel
matrix by structured total least norm 757--779
Ricardo Celorrio and
Francisco-Javier Sayas The Euler--Maclaurin Formula in Presence
of a Logarithmic Singularity . . . . . . 780--785
Anonymous Acknowledgements . . . . . . . . . . . . 786--786
Anonymous Author Index Volume 39, 1999 BIT,
Numerical Mathematics . . . . . . . . . 787--790
Nikolai Yu. Bakaev Analysis of discretizations of parabolic
problems in pairs of spaces . . . . . . 1--23
Raymond H. Chan and
Wing-Fai Ng and
Hai-Wei Sun Fast Construction of Optimal Circulant
Preconditioners for Matrices from the
Fast Dense Matrix Method . . . . . . . . 24--40
Kenth Engö On the construction of geometric
integrators in the RKMK class . . . . . 41--61
Paola Favati and
Mauro Leoncini and
Angeles Martinez On the robustness of Gaussian
elimination with partial pivoting . . . 62--73
V. Frayssé and
S. Gratton and
V. Toumazou Structured backward error and condition
number for linear systems of the type
$A^*Ax=b$ . . . . . . . . . . . . . . . 74--83
Walter Gander and
Walter Gautschi Adaptive quadrature --- revisited . . . 84--101
A. Novruzi and
J. R. Roche Newton's method in shape optimization: A
three-dimensional case . . . . . . . . . 102--120
B. Owren and
B. Welfert The Newton iteration on Lie groups . . . 121--145
J. K. Reid Implicit Scaling of Linear Least Squares
Problems . . . . . . . . . . . . . . . . 146--157
O. Schenk and
K. Gärtner and
W. Fichtner Efficient sparse $LU$ factorization with
left--right looking strategy on shared
memory multiprocessors . . . . . . . . . 158--176
Assyr Abdulle On roots and error constants of optimal
stability polynomials . . . . . . . . . 177--182
P. Spellucci and
W. M. Hartmann A QR Decomposition for Matrix Pencils 183--189
Anonymous Author Index: BIT Numerical Mathematics
Volumes 30--39 (1990--1999) . . . . . . 191--214
Carl-Erik Fröberg BIT --- A Nordic Computer Related
Journal . . . . . . . . . . . . . . . . i--vi
Amin Boumenir Higher approximation of eigenvalues by
the sampling method . . . . . . . . . . 215--225
K. Burrage and
S. Piskarev Stochastic Methods for Ill-Posed
Problems . . . . . . . . . . . . . . . . 226--240
Alok Dutt and
Leslie Greengard and
Vladimir Rokhlin Spectral deferred correction methods for
ordinary differential equations . . . . 241--266
S. Hyvönen and
O. Nevanlinna Robust bounds for Krylov methods . . . . 267--290
Christian Jansson Convex-Concave Extensions . . . . . . . 291--313
H. Lamba Dynamical systems and adaptive
timestepping in ODE solvers . . . . . . 314--335
Fu-Rong Lin and
Michael K. Ng Fast preconditioned iterative methods
for convolution-type integral equations 336--350
Hans Olsson and
Gustaf Söderlind The approximate Runge--Kutta
computational process . . . . . . . . . 351--373
Norio Takama and
Yoshiaki Muroya and
Emiko Ishiwata On the attainable order of collocation
methods for delay differential equations
with proportional delay . . . . . . . . 374--394
Froilán M. Dopico A note on $\sin{\Theta}$ theorems for
singular subspace variations . . . . . . 395--403
Desmond J. Higham A-Stability and Stochastic Mean-Square
Stability . . . . . . . . . . . . . . . 404--409
Michael J. Tsatsomeros and
Lei Li A Recursive Test for $P$-Matrices . . . 410--414
W.-J. Beyn and
J. Schropp Runge-Kutta discretizations of
singularly perturbed gradient equations 415--433
S. Blanes and
F. Casas and
J. Ros Improved high order integrators based on
the Magnus expansion . . . . . . . . . . 434--450
L. Brugnano and
K. Burrage and
P. M. Burrage Adams-type methods for the numerical
solution of stochastic ordinary
differential equations . . . . . . . . . 451--470
Heike Fassbender Error analysis of the symplectic Lánczos
method for the symplectic eigenvalue
problem . . . . . . . . . . . . . . . . 471--496
J. E. Frank and
P. J. Van Der Houwen Diagonalizable extended backward
differentiation formulas . . . . . . . . 497--512
M. E. Gulliksson and
P.-Å. Å. Wedin and
Yimin Wei Perturbation identities for regularized
Tikhonov inverses and weighted
pseudoinverses . . . . . . . . . . . . . 513--524
I. C. F. Ipsen Expressions and Bounds for the GMRES
Residual . . . . . . . . . . . . . . . . 524--535
Chih-Jen Lin and
Romesh Saigal An incomplete Cholesky factorization for
dense symmetric positive definite
matrices . . . . . . . . . . . . . . . . 536--558
Sebastian Reich Finite Volume Methods for
Multi-Symplectic PDES . . . . . . . . . 559--582
Jae Heon Yun Block $ILU$ preconditioners for a
nonsymmetric block-tridiagonal
$M$-matrix . . . . . . . . . . . . . . . 583--605
Guang-Da Hu and
Guang-Di Hu A Relation Between the Weighted
Logarithmic Norm of a Matrix and the
Lyapunov Equation . . . . . . . . . . . 606--610
M. Calvo and
S. González-Pinto and
J. I. Montijano Runge--Kutta methods for the numerical
solution of stiff semi-linear systems 611--639
Philip I. Davies and
Nicholas J. Higham Numerically Stable Generation of
Correlation Matrices and Their Factors 640--651
S. Faltinsen Backward error analysis for Lie-group
methods . . . . . . . . . . . . . . . . 652--670
Gene H. Golub and
Qiang Ye Inexact inverse iteration for
generalized eigenvalue problems . . . . 671--684
S. González-Pinto and
J. I. Montijano and
S. Pérez-Rodríguez On the Starting Algorithms for Fully
Implicit Runge--Kutta Methods . . . . . 685--714
J. Gwinner and
A. Rott Least squares solutions of bivariate
surface fitting problems using tensor
product splines . . . . . . . . . . . . 715--725
E. Hairer Symmetric projection methods for
differential equations on manifolds . . 726--734
Tobias Jahnke and
Christian Lubich Error Bounds for Exponential Operator
Splittings . . . . . . . . . . . . . . . 735--744
Zhi-Ping Li Finite order rank-one convex envelopes
and computation of microstructures with
laminates in laminates . . . . . . . . . 745--761
Ya Yan Lu Fourth order conservative exponential
methods for linear evolution equations 762--774
S. Tracogna and
B. Welfert Two-step Runge--Kutta: Theory and
practice . . . . . . . . . . . . . . . . 775--799
M. Embree The Most Widely Cited Papers in BIT . . 800--801
Anonymous Acknowledgements . . . . . . . . . . . . 802--802
Anonymous Author Index: Volume 40, 2000, BIT,
Numerical Mathematics . . . . . . . . . 803--806
Martin Arnold and
Michael Günther Preconditioned dynamic iteration for
coupled differential-algebraic systems 1--25
S. F. Ashby and
M. J. Holst and
T. A. Manteuffel and
P. E. Saylor The role of the inner product in
stopping criteria for conjugate gradient
iterations . . . . . . . . . . . . . . . 26--52
Zhong-Zhi Bai and
Iain S. Duff and
Andrew J. Wathen A class of incomplete orthogonal
factorization methods. I: Methods and
theories . . . . . . . . . . . . . . . . 53--70
Gene H. Golub and
X. Wu and
Jin-Yun Yuan SOR-like Methods for Augmented Systems 71--85
Martin H. Gutknecht and
Miroslav Rozlo\vzník Residual smoothing techniques: Do they
improve the limiting accuracy of
iterative solvers? . . . . . . . . . . . 86--114
Chi-Kwong Li and
Roy Mathias Construction of matrices with prescribed
singular values and eigenvalues . . . . 115--126
Carla Manni On Shape Preserving $C^2$ Hermite
Interpolation . . . . . . . . . . . . . 127--148
N. Mastronardi and
S. Chandrasekaran and
S. Van Huffel Fast and stable reduction of diagonal
plus semi-separable matrices to
tridiagonal and bidiagonal form . . . . 149--157
Günther Meinardus and
Guido Walz Best Approximation by Free Knot Splines 158--178
Hai-Wei Sun and
Xiao-Qing Jin and
Qian-Shun Chang Convergence of the multigrid method for
ill-conditioned block Toeplitz systems 179--190
Barbara Zubik-Kowal Stability in the numerical solution of
linear parabolic equations with a delay
term . . . . . . . . . . . . . . . . . . 191--206
A. Marthinsen and
B. Owren A note on the construction of
Crouch--Grossman methods . . . . . . . . 207--214
Nikolai Yu. Bakaev Maximum norm resolvent estimates for
elliptic finite element operators . . . 215--239
J. C. Butcher General linear methods for stiff
differential equations . . . . . . . . . 240--264
J. K. Cullum and
A. E. Ruehli Pseudospectra analysis, nonlinear
eigenvalue problems, and studying
systems with time delays . . . . . . . . 265--281
Judith Ford and
Ke Chen Wavelet-based preconditioners for dense
matrices with non-smooth local features 282--307
M. Gulliksson and
I. Söderkvist and
G. A. Watson Implicit surface fitting using
directional constraints . . . . . . . . 308--321
K. J. in 't Hout Convergence of Runge--Kutta Methods for
Delay Differential Equations . . . . . . 322--344
Shengde Liang and
Xiuling Ma and
Aihui Zhou Finite Volume Methods for Eigenvalue
Problems . . . . . . . . . . . . . . . . 345--363
J. D. Pryce A Simple Structural Analysis Method for
DAEs . . . . . . . . . . . . . . . . . . 364--394
Antonella Zanna and
Kenth Engò and
Hans Z. Munthe-Kaas Adjoint and selfadjoint Lie-group
methods . . . . . . . . . . . . . . . . 395--421
L. O. Jay A Note on $Q$-order of Convergence . . . 422--429
A. N. Malyshev Optimal backward perturbation bounds for
the LSS problem . . . . . . . . . . . . 430--432
Daniele Bertaccini and
Michael K. Ng The convergence rate of block
preconditioned systems arising from
LMF-based ODE codes . . . . . . . . . . 433--450
F. A. Costabile and
F. Dell'accio Expansion over a rectangle of real
functions in Bernoulli polynomials and
applications . . . . . . . . . . . . . . 451--464
M. Dobrowolski and
G. Stoyan Algebraic and discrete Velte
decompositions . . . . . . . . . . . . . 465--479
Jim Douglas, Jr. and
Chieh-Sen Huang A locally conservative
Eulerian--Lagrangian finite difference
method for a parabolic equation . . . . 480--489
Walter Gautschi and
Jörg Waldvogel Computing the Hilbert transform of the
generalized Laguerre and Hermite weight
functions . . . . . . . . . . . . . . . 490--503
M. Günther and
A. Kværnò and
P. Rentrop Multirate partitioned Runge--Kutta
methods . . . . . . . . . . . . . . . . 504--514
Philippe Langlois Automatic Linear Correction of Rounding
Errors . . . . . . . . . . . . . . . . . 515--539
Siegfried M. Rump Rigorous and Portable Standard Functions 540--562
Manfred Tasche and
Hansmartin Zeuner Worst and average case roundoff error
analysis for FFT . . . . . . . . . . . . 563--581
Alexandre Timonov Factorised preconditionings of
successive approximations in finite
precision . . . . . . . . . . . . . . . 582--598
J. Tuomela and
T. Arponen On the numerical solution of involutive
ordinary differential systems II: Higher
order methods . . . . . . . . . . . . . 599--628
Kenth Engò On the BCH-Formula in SO$(3)$ . . . . . 629--632
J. L. Mead and
R. A. Renaut and
B. D. Welfert Stability of a pivoting strategy for
parallel Gaussian elimination . . . . . 633--639
J. M. Peña A Note on a Paper by P. Amodio and F.
Mazzia . . . . . . . . . . . . . . . . . 640--643
K. Burrage and
G. Hertono and
Z. Jackiewicz and
B. D. Welfert Acceleration of convergence of static
and dynamic iterations . . . . . . . . . 645--655
J. C. Butcher and
Z. Jackiewicz A reliable error estimation for
diagonally implicit multistage
integration methods . . . . . . . . . . 656--665
M. R. Capobianco and
G. Criscuolo and
R. Giova Approximation of the weighted Hilbert
transform on the real line by an
interpolatory process . . . . . . . . . 666--682
L. G. Casado and
I. García and
T. Csendes A heuristic rejection criterion in
interval global optimization algorithms 683--692
J. R. Gilbert and
X. S. Li and
E. G. Ng and
B. W. Peyton Computing row and column counts for
sparse QR and LU factorization . . . . . 693--710
L. Grüne and
P. E. Kloeden Pathwise Approximation of Random
Ordinary Differential Equations . . . . 711--721
Ekatherina A. Karatsuba Fast computation of $\zeta (3)$ and of
some special integrals using the
Ramanujan formula and polylogarithms . . 722--730
J. Lang and
J. Verwer ROS3P --- An accurate third-order
Rosenbrock solver designed for parabolic
problems . . . . . . . . . . . . . . . . 731--738
A. Malyshev and
M. Sadkane Computation of optimal backward
perturbation bounds for large sparse
linear least squares problems . . . . . 739--747
K. N. Melnik and
R. V. N. Melnik Optimal cubature formulae and recovery
of fast-oscillating functions from an
interpolational class . . . . . . . . . 748--775
P. H. Muir and
M. Adams Mono-implicit Runge--Kutta--Nyström
methods with application to boundary
value ordinary differential equations 776--799
Jürgen Schulze Towards a tighter coupling of bottom-up
and top-down sparse matrix ordering
methods . . . . . . . . . . . . . . . . 800--841
Tiziano Politi A formula for the exponential matrix of
a real skew-symmetric matrix of order
$4$ . . . . . . . . . . . . . . . . . . 842--845
Venansius Baryamureeba The impact of equal weighting of low-
and high-confidence observations on
robust linear regression computations 847--855
B. Beckermann and
A. B. J. Kuijlaars On the Sharpness of an Asymptotic Error
Estimate for Conjugate Gradients . . . . 856--867
Jean-Paul Berrut and
Richard Baltensperger The linear rational pseudospectral
method for boundary value problems . . . 868--879
Carl de Boor What is the Inverse of a Basis? . . . . 880--890
H. Brunner and
A. Pedas and
G. Vainikko A spline collocation method for linear
Volterra integro-differential equations
with weakly singular kernels . . . . . . 891--900
H. Martin Bücker and
Manfred Sauren On Using Hölder Norms in the
Quasi-Minimal Residual Approach . . . . 901--911
N. del Buono and
L. Lopez Runge--Kutta Type Methods Based on
Geodesics for Systems of ODEs on the
Stiefel Manifold . . . . . . . . . . . . 912--923
K. Dekker Partitioned-GMRES in domain
decomposition with approximate subdomain
solution . . . . . . . . . . . . . . . . 924--935
Erik Elmroth and
Fred G. Gustavson A faster and simpler recursive algorithm
for the LAPACK routine DGELS . . . . . . 936--949
Bernd Fischer and
Martin Ludwig and
Andreas Meister The thermo-regulation of infants:
Modeling and numerical simulation . . . 950--966
W. N. Gansterer and
J. Schneid and
C. W. Ueberhuber A low-complexity divide-and-conquer
method for computing eigenvalues and
eigenvectors of symmetric band matrices 967--976
G. H. Golub and
H. Melbö A stochastic approach to error estimates
for iterative linear solvers: Part 1 . . 977--985
Bertil Gustafsson and
Wendy Kress Deferred correction methods for initial
value problems . . . . . . . . . . . . . 986--995
E. Hairer Geometric integration of ordinary
differential equations on manifolds . . 996--1007
Martin Hanke On Lánczos based methods for the
regularization of discrete ill-posed
problems . . . . . . . . . . . . . . . . 1008--1018
Takemitsu Hasegawa Error analysis of Clenshaw's algorithm
for evaluating derivatives of a
polynomial . . . . . . . . . . . . . . . 1019--1028
U. Hämarik and
U. Tautenhahn On the monotone error rule for parameter
choice in iterative and continuous
regularization methods . . . . . . . . . 1029--1038
Gabriela Kirlinger On the convergence of backward
differentiation formulas for stiff
initial value problems . . . . . . . . . 1039--1048
T. Kitagawa and
S. Nakata and
Y. Hosoda Regularization using QR factorization
and the estimation of the optimal
parameter . . . . . . . . . . . . . . . 1049--1058
Marek Andrzej Kojdecki Examples of saturated convergence rates
for Tikhonov regularization . . . . . . 1059--1068
Karl Meerbergen The Lánczos method with semi-definite
inner product . . . . . . . . . . . . . 1069--1078
Michael K. Ng and
Daniel Potts Circulant preconditioners for indefinite
Toeplitz systems . . . . . . . . . . . . 1079--1088
Bojan Orel Extrapolated Magnus methods . . . . . . 1089--1100
Teresa Regínska Application of wavelet shrinkage to
solving the sideways heat equation . . . 1101--1110
Heinrich Voss A variant of the inverted Lánczos method 1111--1120
Anonymous Acknowledgements . . . . . . . . . . . . 1121--1121
Anonymous Index: Volume 41 . . . . . . . . . . . . 1123--1127
Gustaf Söderlind Preface . . . . . . . . . . . . . . . . ??
Peter Benner and
Volker Mehrmann and
Hongguo Xu Perturbation analysis for the eigenvalue
problem of a formal product of matrices 1--43
D. Calvetti and
B. Lewis and
L. Reichel GMRES, $L$-curves, and discrete
ill-posed problems . . . . . . . . . . . 44--65
Xiao-Wen Chang Some features of Gaussian elimination
with rook pivoting . . . . . . . . . . . 66--83
Froilán M. Dopico and
Julio Moro Perturbation theory for simultaneous
bases of singular subspaces . . . . . . 84--109
Walter Gautschi Computation of Bessel and Airy functions
and of related Gaussian quadrature
formulae . . . . . . . . . . . . . . . . 110--118
D. Lera and
Ya. D. Sergeyev Global minimization algorithms for Hölder
functions . . . . . . . . . . . . . . . 119--133
Per Lötstedt and
Stefan Söderberg and
Alison Ramage and
Lina Hemmingsson-Frändén Implicit solution of hyperbolic
equations with space-time adaptivity . . 134--158
Valeria Simoncini and
Lars Eldén Inexact Rayleigh quotient-type methods
for eigenvalue computations . . . . . . 159--182
A. Venter and
D. P. Laurie A doubly adaptive integration algorithm
using stratified rules . . . . . . . . . 183--193
Divakar Viswanath How many timesteps for a cycle? Analysis
of the Wisdom--Holman algorithm . . . . 194--205
Xinghua Wang and
Chong Li and
Ming-Jun Lai A unified convergence theory for
Newton-type methods for zeros of
nonlinear operators in Banach spaces . . 206--213
Kiyotaka Yamamura and
Shigeru Tanaka Finding all solutions of systems of
nonlinear equations using the dual
simplex method . . . . . . . . . . . . . 214--230
S. Bacchelli and
M. Cotronei and
T. Sauer Multifilters with and without Prefilters 231--261
S. Blanes and
F. Casas and
J. Ros High order optimized geometric
integrators for linear differential
equations . . . . . . . . . . . . . . . 262--284
F. Diele and
I. Sgura The Cayley method and the inverse
eigenvalue problem for Toeplitz matrices 285--299
Iain S. Duff and
Christof Vömel Incremental norm estimation for dense
and sparse matrices . . . . . . . . . . 300--322
Lars Eld\`en Solving quadratically constrained least
squares problems using a
differential-geometric approach . . . . 323--335
Tian Min Han and
Yuhuan Han A new approach of solving implicit
equations arising from Adams--Moulton
methods . . . . . . . . . . . . . . . . 336--350
Anita Hansbo Strong stability and non-smooth data
error estimates for discretizations of
linear parabolic problems . . . . . . . 351--379
Chengming Huang and
Shoufu Li and
Hongyuan Fu and
Guangnan Chen Nonlinear stability of general linear
methods for delay differential equations 380--392
Marko Huhtanen and
Rasmus Munk Larsen On generating discrete orthogonal
bivariate polynomials . . . . . . . . . 393--407
Kaspar Nipp Numerical integration of differential
algebraic systems and invariant
manifolds . . . . . . . . . . . . . . . 408--439
Sotirios E. Notaris Positivity of the weights of
interpolatory quadrature formulae with
Jacobi abscissae . . . . . . . . . . . . 440--446
P. F. Tupper Adaptive Model Reduction for Chemical
Kinetics . . . . . . . . . . . . . . . . 447--465
P. Batra Simultaneous Point Estimates for
Newton's Method . . . . . . . . . . . . 467--476
J. C. Butcher and
T. M. H. Chan A new approach to the algebraic
structures for integration methods . . . 477--489
K. Diethelm and
N. J. Ford Numerical solution of the Bagley--Torvik
equation . . . . . . . . . . . . . . . . 490--507
Xiaohua Ding and
Mingzhu Liu Convergence aspects of step-parallel
iteration of Runge--Kutta methods for
delay differential equations . . . . . . 508--518
J. A. Ezquerro and
M. A. Hernández On an application of Newton's method to
nonlinear operators with $w$-conditioned
second derivative . . . . . . . . . . . 519--530
Ricardo D. Fierro and
Per Christian Hansen Truncated VSV solutions to symmetric
rank-deficient problems . . . . . . . . 531--540
Thomas Huckle and
Jochen Staudacher Matrix Multilevel Methods and
Preconditioning . . . . . . . . . . . . 541--560
Arieh Iserles On the global error of discretization
methods for highly-oscillatory ordinary
differential equations . . . . . . . . . 561--599
Alicja Smoktunowicz Backward stability of Clenshaw's
algorithm . . . . . . . . . . . . . . . 600--610
Yongzhong Song Monotone convergence of iterative
methods for singular linear systems . . 611--624
T. H. Tian and
K. Burrage Two-stage stochastic Runge--Kutta
methods for stochastic differential
equations . . . . . . . . . . . . . . . 625--643
Anna-Karin Tornberg Multi-dimensional quadrature of singular
and discontinuous functions . . . . . . 644--669
Emil \vZagar On $G^2$ Continuous Spline Interpolation
of Curves in $\mathbb{R}^d$ . . . . . . 670--688
M. Calvo and
R. D. Grigorieff Time discretization of parabolic
problems with the variable $3$-step BDF 689--701
Christina C. Christara and
Kit Sun Ng Fast Fourier Transform solvers and
preconditioners for quadratic spline
collocation . . . . . . . . . . . . . . 702--739
Maksymilian Dryja The Dirichlet--Neumann algorithm for
mortar saddle point problems . . . . . . 740--752
Claudio Estatico A class of filtering superoptimal
preconditioners for highly
ill-conditioned linear systems . . . . . 753--778
Martin J. Gander and
Hongkai Zhao Overlapping Schwarz waveform relaxation
for the heat equation in $n$ dimensions 779--795
M. Gerdts and
C. Büskens Consistent initialization of sensitivity
matrices for a class of parametric DAE
systems . . . . . . . . . . . . . . . . 796--813
Gene H. Golub and
Jin-Yun Yuan Symmetric-triangular decomposition and
its applications Part I: Theorems and
algorithms . . . . . . . . . . . . . . . 814--822
Inmaculada Higueras and
Gustaf Söderlind Logarithmic Norms and Nonlinear DAE
Stability . . . . . . . . . . . . . . . 823--841
Peeter Oja Monotonicity preserving adaptive
interpolating splines . . . . . . . . . 842--855
M. Ç. Pinar Linear Huber $M$-estimator under
ellipsoidal data uncertainty . . . . . . 856--866
G. A. Watson Incorporating angular information into
parametric models . . . . . . . . . . . 867--878
N. Kyurkchiev and
A. Iliev On the $R$-order of convergence of a
family of methods for simultaneous
extraction of part of all roots of
algebraic polynomials . . . . . . . . . 879--885
Anonymous Publisher's Announcement . . . . . . . . 886--886
Anonymous Acknowledgements . . . . . . . . . . . . 887--887
Anonymous Author Index: Volume 42, 2002 BIT,
Numerical Mathematics . . . . . . . . . 887--891
Alan Bryden and
Desmond J. Higham On the Boundedness of Asymptotic
Stability Regions for the Stochastic
Theta Method . . . . . . . . . . . . . . 1--6
R. H. Chan and
H. L. Chung and
S.-F. Xu The Inexact Newton-Like Method for
Inverse Eigenvalue Problem . . . . . . . 7--20
Kenth Engò Partitioned Runge--Kutta Methods in
Lie-Group Setting . . . . . . . . . . . 21--39
Jason Frank and
Sebastian Reich Conservation Properties of Smoothed
Particle Hydrodynamics Applied to the
Shallow Water Equation . . . . . . . . . 41--55
V. Grimm and
R. Scherer A Generalized $W$-Transformation for
Constructing Symplectic Partitioned
Runge--Kutta Methods . . . . . . . . . . 57--66
I. Higueras and
T. Roldán IRK Methods for Index $2$ and $3$ DAEs:
Starting Algorithms . . . . . . . . . . 67--92
L. O. Jay Solution of Index $2$ Implicit
Differential-Algebraic Equations by
Lobatto Runge--Kutta Methods . . . . . . 93--106
Stein Krogstad A Low Complexity Lie Group Method on the
Stiefel Manifold . . . . . . . . . . . . 107--122
G. Larcher and
F. Pillichshammer and
K. Scheicher Weighted Discrepancy and
High-Dimensional Numerical Integration 123--137
F. R. Lin and
X. Q. Jin and
S. L. Lei Strang-Type Preconditioners for Solving
Linear Systems from Delay Differential
Equations . . . . . . . . . . . . . . . 139--152
Torsten Schütze and
Hubert Schwetlick Bivariate Free Knot Splines . . . . . . 153--178
Tony Shardlow Weak Convergence of a Numerical Method
for a Stochastic Heat Equation . . . . . 179--193
R. Vermiglio and
L. Torelli A Stable Numerical Approach for Implicit
Non-Linear Neutral Delay Differential
Equations . . . . . . . . . . . . . . . 195--215
J. Z. Zhang and
Y. Xue and
K. Zhang A Structured Secant Method Based on a
New Quasi-Newton Equation for Nonlinear
Least Squares Problems . . . . . . . . . 217--229
Axel Ruhe Editorial . . . . . . . . . . . . . . . v--viii
Michele Benzi and
Daniele Bertaccini Approximate Inverse Preconditioning for
Shifted Linear Systems . . . . . . . . . 231--244
Fritz G. Boese and
Wolfram J. Luther Accurate Enclosure of the Zero Set of
Multivariate Polynomials . . . . . . . . 245--261
Daniela Calvetti and
Lothar Reichel Tikhonov Regularization of Large Linear
Problems . . . . . . . . . . . . . . . . 263--283
W. K. Ching Iterative Methods for Queuing Systems
with Batch Arrivals and Negative
Customers . . . . . . . . . . . . . . . 285--296
Paolo Costantini and
Maria Lucia Sampoli A General Scheme for Shape Preserving
Planar Interpolating Curves . . . . . . 297--317
Terje O. Espelid Doubly Adaptive Quadrature Routines
Based on Newton--Cotes Rules . . . . . . 319--337
D. Fränken and
K. Ochs Passive Runge--Kutta Methods ---
Properties, Parametric Representation,
and Order Conditions . . . . . . . . . . 339--361
K. J. In 'T Hout and
M. N. Spijker Analysis of Error Growth Via Stability
Regions in Numerical Initial Value
Problems . . . . . . . . . . . . . . . . 363--385
Elisabeth Larsson and
Sverker Holmgren Parallel Solution of the Helmholtz
Equation in a Multilayer Domain . . . . 387--411
J. N. Lyness and
S. Joe The Number of Lattice Rules of Specified
Upper Class and Rank . . . . . . . . . . 413--426
Haesun Park and
Moongu Jeon and
J. Ben Rosen Lower Dimensional Representation of Text
Data Based on Centroids and Least
Squares . . . . . . . . . . . . . . . . 427--448
Martin Hanke A Note on Tikhonov Regularization of
Large Linear Problems . . . . . . . . . 449--451
B. Kalantari and
Y. Jin On Extraneous Fixed-Points of the Basic
Family of Iteration Functions . . . . . 453--458
V. Simoncini Restarted Full Orthogonalization Method
for Shifted Linear Systems . . . . . . . 459--466
Anonymous Introduction to the Contents of Issue
43:2 . . . . . . . . . . . . . . . . . . v--vi
Axel Ruhe Editorial . . . . . . . . . . . . . . . iii--iii
Georgios Akrivis and
Fotini Karakatsani Modified implicit-explicit BDF methods
for nonlinear parabolic equations . . . 467--483
Alan L. Andrew Asymptotic correction of more
Sturm--Liouville eigenvalue estimates 485--503
Adam Bojanczyk and
Nicholas J. Higham and
Harikrishna Patel The equality constrained indefinite
least squares problem: theory and
algorithms . . . . . . . . . . . . . . . 505--517
F. M. Buchmann and
W. P. Petersen Solving Dirichlet problems numerically
using the Feynman--Kac representation 519--540
Daniela Calvetti and
Lothar Reichel Symmetric Gauss--Lobatto and modified
anti-Gauss rules . . . . . . . . . . . . 541--554
S. González-Pinto and
D. Hernández-Abreu Strong $A$-Acceptability for Rational
Functions . . . . . . . . . . . . . . . 555--561
Marko Huhtanen Two Splittings of a Square Matrix . . . 563--570
P. E. Kloeden and
J. Schropp Runge-Kutta methods for monotone
differential and delay equations . . . . 571--586
L. László Second-Order Optimality Condition for
$\Delta H$-Matrices . . . . . . . . . . 587--593
J. Makazaga and
A. Murua New Runge--Kutta based schemes for ODEs
with cheap global error estimation . . . 595--610
Laura B. Montefusco and
Serena Papi A parameter selection method for wavelet
shrinkage denoising . . . . . . . . . . 611--626
Musheng Wei and
Qiaohua Liu Roundoff error estimates of the modified
Gram--Schmidt algorithm with column
pivoting . . . . . . . . . . . . . . . . 627--645
Yubin Yan Smoothing $A$ properties and
approximation of time derivatives for
parabolic equations: variable time steps 647--669
A. Aimi and
L. Bassotti and
M. Diligenti Groups of Congruences and Restriction
Matrices . . . . . . . . . . . . . . . . 671--693
J. C. Butcher and
W. M. Wright The Construction of Practical General
Linear Methods . . . . . . . . . . . . . 695--721
F. Casas and
B. Owren Cost efficient Lie group integrators in
the RKMK class . . . . . . . . . . . . . 723--742
Stefan Henn A Levenberg--Marquardt scheme for
nonlinear image registration . . . . . . 743--759
M. Janssen and
P. Van Hentenryck Precisely $A(\alpha)$-Stable One-Leg
Multistep Methods . . . . . . . . . . . 761--774
D. Kressner Block algorithms for orthogonal
symplectic factorizations . . . . . . . 775--790
Z. Kulpa and
S. Markov On the inclusion properties of interval
multiplication: a diagrammatic study . . 791--810
Ole Òsterby Five ways of reducing the
Crank--Nicolson oscillations . . . . . . 811--822
Siegfried M. Rump and
Jens-Peter M. Zemke On Eigenvector Bounds . . . . . . . . . 823--837
Anonymous Editorial . . . . . . . . . . . . . . . ??
Mario Arioli and
Gianmarco Manzini Null space algorithm and spanning trees
in solving Darcy's equation . . . . . . 839--848
Josep Arnal and
Violeta Migallón and
José Penadés Parallel Newton two-stage multisplitting
iterative methods for nonlinear systems 849--861
Owe Axelsson A survey of algebraic multilevel
iteration (AMLI) methods . . . . . . . . 863--879
Michele Benzi and
Martin J. Gander and
Gene H. Golub Optimization of the Hermitian and
skew-Hermitian splitting iteration for
saddle-point problems . . . . . . . . . 881--900
Daniele Bertaccini and
Michael K. Ng Band-Toeplitz preconditioned GMRES
iterations for time-dependent PDEs . . . 901--914
Xiao-Wen Chang and
Christopher C. Paige An algorithm for combined code and
carrier phase based GPS positioning . . 915--927
Achiya Dax An Open Question on Cyclic Relaxation 929--943
Evridiki Efstathiou and
Martin J. Gander Why restricted additive Schwarz
converges faster than additive Schwarz 945--959
H. C. Elman and
D. Loghin and
A. J. Wathen Preconditioning techniques for Newton's
method for the incompressible
Navier--Stokes equations . . . . . . . . 961--974
M. Jacobsen and
P. C. Hansen and
M. A. Saunders Subspace preconditioned LSQR for
discrete ill-posed problems . . . . . . 975--989
D. Janovská and
G. Opfer Givens' transformation applied to
quaternion valued vectors . . . . . . . 991--1002
J. G. Nagy and
K. M. Palmer Steepest descent, CG, and iterative
regularization of ill-posed problems . . 1003--1017
Pierre Spiteri A new characterization of $M$-matrices
and $H$-matrices . . . . . . . . . . . . 1019--1032
Zdenek Strakos and
Daniel B. Szyld Editorial . . . . . . . . . . . . . . . ??
Zden\vek Strako\vs and
Daniel B. Szyld Editorial [Conference on Computational
Linear Algebra with Applications] . . . iii--v
I. Alonso-Mallo and
B. Cano Avoiding order reduction of Runge--Kutta
discretizations for linear
time-dependent parabolic problems . . . 1--20
Kevin Burrage and
Tianhai Tian Implicit stochastic Runge--Kutta methods
for stochastic differential equations 21--39
Luca Dieci and
Jorge Rebaza Point-to-periodic and
periodic-to-periodic connections . . . . 41--62
Stanis\law Lewanowicz and
Pawe\l Wo\'zny Generalized Bernstein polynomials . . . 63--78
Jörg Liesen and
Petr Tichý The Worst-Case GMRES for Normal Matrices 79--98
Robert I. McLachlan and
Matthew Perlmutter and
G. R. W. Quispel On the Nonlinear Stability of Symplectic
Integrators . . . . . . . . . . . . . . 99--117
Teresa Regi\'nska Regularization of Discrete Ill-Posed
Problems . . . . . . . . . . . . . . . . 119--133
F. Sezgin A method of systematic search for
optimal multipliers in congruential
random number generators . . . . . . . . 135--149
David J. Silvester and
Milan D. Mihajlovi\'c A black-box multigrid preconditioner for
the biharmonic equation . . . . . . . . 151--163
V. Thomée and
L. B. Wahlbin Maximum-norm estimates for
finite-element methods for a strongly
damped wave equation . . . . . . . . . . 165--179
Jinxi Zhao and
Weiguo Wang and
Weiqing Ren Stability of the matrix factorization
for solving block tridiagonal symmetric
indefinite linear systems . . . . . . . 181--188
J. Y. Yuan and
G. H. Golub and
R. J. Plemmons and
W. A. G. Cecílio Semi-conjugate direction methods for
real positive definite systems . . . . . 189--207
Anonymous Introduction to the Contents of Issue
44:1 . . . . . . . . . . . . . . . . . . ??
Anonymous Editorial . . . . . . . . . . . . . . . ??
R. Byers and
D. Kressner On the condition of a complex eigenvalue
under real perturbations . . . . . . . . 209--214
B. Cano and
A. Duran A technique to improve the error
propagation when integrating relative
equilibria . . . . . . . . . . . . . . . 215--235
Xiao-shan Chen and
Wen Li and
Weiwei Sun Some new perturbation bounds for the
generalized polar decomposition . . . . 237--244
Nicholas J. Daras On the best choice for the generating
polynomial of a Padé-type approximation 245--257
V. Demichelis and
P. Rabinowitz Finite-Part Integrals and Modified
Splines . . . . . . . . . . . . . . . . 259--267
E. R. Jakobsen On error bounds for approximation
schemes for non-convex degenerate
elliptic equations . . . . . . . . . . . 269--285
Francisco-Javier Sayas Aubin--Nitsche estimates are equivalent
to compact embeddings . . . . . . . . . 287--290
M.-R. Skrzipek Inversion of Vandermonde-like matrices 291--306
S. Sundberg and
L. von Sydow Semi-Toeplitz preconditioning for the
linearized Navier--Stokes equations . . 307--341
Mechthild Thalhammer On the convergence behaviour of variable
stepsize multistep methods for
singularly perturbed problems . . . . . 343--361
Li Wang and
Zhong-Zhi Bai Skew-Hermitian triangular splitting
iteration methods for non-Hermitian
positive definite linear systems of
strong skew-Hermitian parts . . . . . . 363--386
H. Voss An Arnoldi method for nonlinear
eigenvalue problems . . . . . . . . . . 387--401
Anonymous Editorial . . . . . . . . . . . . . . . ??
T. Arponen and
B. Leimkuhler An Efficient Geometric Integrator for
Thermostatted Anti-/Ferromagnetic Models 403--424
Ch. Brouder Trees, Renormalization and Differential
Equations . . . . . . . . . . . . . . . 425--438
Colin John Cotter and
Sebastian Reich Adiabatic invariance and applications:
from molecular dynamics to numerical
weather prediction . . . . . . . . . . . 439--455
Subhendu Bikash Hazra and
Volker Schulz Simultaneous pseudo-timestepping for
PDE-model based optimization problems 457--472
A. Iserles On the method of Neumann series for
highly oscillatory equations . . . . . . 473--488
A. Kværnò Singly Diagonally Implicit Runge--Kutta
Methods with an Explicit First Stage . . 489--502
Christian Lubich Convolution Quadrature Revisited . . . . 503--514
Robert I. McLachlan and
G. Reinout W. Quispel Explicit geometric integration of
polynomial vector fields . . . . . . . . 515--538
A. Tordesillas and
S. D. C. Walsh and
B. S. Gardiner Bridging the length scales:
micromechanics of granular media . . . . 539--556
J. C. Butcher and
Z. Jackiewicz Unconditionally stable general linear
methods for ordinary differential
equations . . . . . . . . . . . . . . . 557--570
Holger Dullin and
Francesco Fass\`o An algorithm for detecting directional
quasi-convexity . . . . . . . . . . . . 571--584
Ren-Cang Li Accuracy of computed eigenvectors via
optimizing a Rayleigh quotient . . . . . 585--593
I. Moret and
P. Novati RD-rational approximations of the matrix
exponential . . . . . . . . . . . . . . 595--615
Luca Dieci and
Jorge Rebaza Erratum: ``Point-to-periodic and
periodic-to-periodic connections'' [BIT
\bf 44 (2004), no. 1, 41--62; MR2057361] 617--618
Anonymous Introduction to the Contents of Issue
44:3 . . . . . . . . . . . . . . . . . . ??
Anonymous Editorial . . . . . . . . . . . . . . . ??
Anonymous Preface . . . . . . . . . . . . . . . . 3--4
Axel Ruhe Introduction to the Contents of Issue
44:4 . . . . . . . . . . . . . . . . . . 5--5
A. Atieg and
G. A. Watson Incomplete Orthogonal Distance
Regression . . . . . . . . . . . . . . . 619--629
Hermann Brunner On the Divergence of Collocation
Solutions in Smooth Piecewise Polynomial
Spaces for Volterra Integral Equations 631--650
M. Isabel Bueno and
Froilán M. Dopico Stability and Sensitivity of Tridiagonal
LU Factorization without Pivoting . . . 651--673
Jonas Englund and
Johan Helsing A Comparison of Splittings and Integral
Equation Solvers for a Nonseparable
Elliptic Equation . . . . . . . . . . . 675--697
Erwan Faou and
Ernst Hairer and
Truong-Linh Pham Energy Conservation with Non-Symplectic
Methods: Examples and Counter-Examples 699--709
Walter Gautschi Generalized Gauss--Radau and
Gauss--Lobatto Formulae . . . . . . . . 711--720
M. E. Hochstenbach Harmonic and Refined Extraction Methods
for the Singular Value Problem, with
Applications in Least Squares Problems 721--754
A. Iserles and
S. P. NÒrsett On Quadrature Methods for Highly
Oscillatory Integrals and Their
Implementation . . . . . . . . . . . . . 755--772
Martin Nilsson Stability of the High Frequency Fast
Multipole Method for Helmholtz' Equation
in Three Dimensions . . . . . . . . . . 773--791
Diana M. Sima and
Sabine Van Huffel and
Gene H. Golub Regularized Total Least Squares Based on
Quadratic Eigenvalue Problem Solvers . . 793--812
Dexuan Xie Analysis of a Class of Parallel
Multigrid Smoothers . . . . . . . . . . 813--828
Yubin Yan Semidiscrete Galerkin Approximation for
a Linear Stochastic Parabolic Partial
Differential Equation Driven by an
Additive Noise . . . . . . . . . . . . . 829--847
F. Carbonell and
J. C. Jimenez and
R. J. Biscay and
H. de la Cruz The local linearization method for
numerical integration of random
differential equations . . . . . . . . . 1--14
P. Favati and
G. Lotti and
O. Menchi Preconditioners based on fit techniques
for the iterative regularization in the
image deconvolution problem . . . . . . 15--35
E. R. Jakobsen and
K. H. Karlsen Convergence rates for semi-discrete
splitting approximations for degenerate
parabolic equations with source terms 37--67
Henrik Kalisch Error analysis of a spectral projection
of the regularized Benjamin--Ono
equation . . . . . . . . . . . . . . . . 69--89
Katina Lorenz and
Tobias Jahnke and
Christian Lubich Adiabatic integrators for highly
oscillatory second-order linear
differential equations with time-varying
eigendecomposition . . . . . . . . . . . 91--115
G. V. Milovanovi\'c and
M. M. Spalevi\'c An error expansion for some Gauss--Turán
quadratures and $L^1$-estimates of the
remainder term . . . . . . . . . . . . . 117--136
C. Negoita and
R. A. Renaut On the convergence of the generalized
linear least squares algorithm . . . . . 137--158
A. T. Papadopoulos and
I. S. Duff and
A. J. Wathen A class of incomplete orthogonal
factorization methods. II.
Implementation and results . . . . . . . 159--179
M. Robbé and
M. Sadkane Convergence analysis of the block
Householder block diagonalization
algorithm . . . . . . . . . . . . . . . 181--195
Bernhard A. Schmitt and
Rüdiger Weiner and
Helmut Podhaisky Multi-implicit peer two-step $W$-methods
for parallel time integration . . . . . 197--217
Axel Ruhe Introduction to the Contents of Issue
45:1 . . . . . . . . . . . . . . . . . . ??
Nairo D. Aparicio and
Simon J. A. Malham and
Marcel Oliver Numerical Evaluation of the Evans
Function by Magnus Integration . . . . . 219--258
Jesse L. Barlow and
Alicja Smoktunowicz and
Hasan Erbay Improved Gram--Schmidt Type Downdating
Methods . . . . . . . . . . . . . . . . 259--285
D. Cohen and
E. Hairer and
Ch. Lubich Numerical Energy Conservation for
Multi-Frequency Oscillatory Differential
Equations . . . . . . . . . . . . . . . 287--305
Qiang Du and
Wenxiang Zhu Analysis and Applications of the
Exponential Time Differencing Schemes
and Their Contour Integration
Modifications . . . . . . . . . . . . . 307--328
L. Eldén and
P. C. Hansen and
M. Rojas Minimization of Linear Functionals
Defined on Solutions of Large-Scale
Discrete Ill-Posed Problems . . . . . . 329--340
Anita T. Layton and
Michael L. Minion Implications of the Choice of Quadrature
Nodes for Picard Integral Deferred
Corrections Methods for Ordinary
Differential Equations . . . . . . . . . 341--373
Leszek Marcinkowski Additive Schwarz Method for Mortar
Discretization of Elliptic Problems with
$P_1$ Nonconforming Finite Elements . . 375--394
Wolfgang Wülling The Stabilization of Weights in the
Lánczos and Conjugate Gradient Method . . 395--414
A. Zilinskas and
J. Zilinskas On Underestimating in Interval
Computations . . . . . . . . . . . . . . 415--427
Axel Ruhe Introduction to the Contents of Issue
45:2 . . . . . . . . . . . . . . . . . . ??
G. Akrivis and
S. Larsson Linearly Implicit Finite Element Methods
for the Time-Dependent Joule Heating
Problem . . . . . . . . . . . . . . . . 429--442
I. Al-Subaihi and
G. A. Watson Fitting Parametric Curves and Surfaces
by $l_\infty$ Distance Regression . . . 443--461
P. Birken and
A. Meister Stability of Preconditioned Finite
Volume Schemes at Low Mach Numbers . . . 463--480
H. Brandén and
P. Sundqvist Preconditioners Based on Fundamental
Solutions . . . . . . . . . . . . . . . 481--494
Roland W. Freund Krylov Subspaces Associated with
Higher-Order Linear Dynamical Systems 495--516
G. Yu. Kulikov and
S. K. Shindin Global Error Estimation and Extrapolated
Multistep Methods For Index 1
Differential-Algebraic Systems . . . . . 517--542
B. V. Rathish Kumar and
M. Mehra Wavelet-Taylor Galerkin Method for the
Burgers Equation . . . . . . . . . . . . 543--560
Nedialko S. Nedialkov and
John D. Pryce Solving Differential-Algebraic Equations
by Taylor Series (I): Computing Taylor
Coefficients . . . . . . . . . . . . . . 561--591
Walter Gautschi Numerical Quadrature Computation of the
Macdonald Function for Complex Orders 593--603
Koen Verheyden and
Kurt Lust A Newton--Picard Collocation Method for
Periodic Solutions of Delay Differential
Equations . . . . . . . . . . . . . . . 605--625
Abraham Zemui Fourth Order Symmetric Finite Difference
Schemes for the Acoustic Wave Equation 627--651
Axel Ruhe Introduction to the Contents of Issue
45:3 . . . . . . . . . . . . . . . . . . ??
G. Beliakov Monotonicity Preserving Approximation of
Multivariate Scattered Data . . . . . . 653--677
M. S. Floater Arc Length Estimation and the
Convergence of Polynomial Curve
Interpolation . . . . . . . . . . . . . 679--694
J. Guzmán Quadrature and Schatz's Pointwise
Estimates for Finite Element Methods . . 695--707
V. Grimm and
G. R. W. Quispel Geometric Integration Methods that
Preserve Lyapunov Functions . . . . . . 709--723
Monica Hanslien and
Kenneth H. Karlsen and
Aslak Tveito A Maximum Principle for an Explicit
Finite Difference Scheme Approximating
the Hodgkin--Huxley Model . . . . . . . 725--741
M. Z. Liu and
Z. W. Yang and
G. D. Hu Asymptotical Stability of Numerical
Methods with Constant Stepsize for
Pantograph Equations . . . . . . . . . . 743--759
J. Rang and
L. Angermann New Rosenbrock $W$-Methods of Order $3$
for Partial Differential Algebraic
Equations of Index $1$ . . . . . . . . . 761--787
Zdenek Strakos and
Petr Tichý Error Estimation in Preconditioned
Conjugate Gradients . . . . . . . . . . 789--817
Krister Åhlander and
Hans Munthe-Kaas Applications of the Generalized Fourier
Transform in Numerical Linear Algebra 819--850
Department of Numerical Analysis and
Computer Science (NADA) and
Royal Institute of Technology (KTH) and
Stockholm and
Sweden Author Index Volume 40-45, 2000-2005 . . 851--870
Anonymous Editorial . . . . . . . . . . . . . . . v--vi
Axel Ruhe Introduction to the Contents of Issue
45:4 . . . . . . . . . . . . . . . . . . vii--vii
Olof Runborg and
Anna-Karin Tornberg Preface . . . . . . . . . . . . . . . . 1--3
J.-D. Benamou A semi-Lagrangian numerical method for
geometric optics type problems . . . . . 5--17
L. Carleson Computations in pure mathematics
(Outline of lecture at the B. Engquist
conference) . . . . . . . . . . . . . . 19--20
L. Halpern Absorbing boundary conditions and
optimized Schwarz waveform relaxation 21--34
Rolf Jeltsch and
Manuel Torrilhon On curl-preserving finite volume
discretizations for shallow water
equations . . . . . . . . . . . . . . . 35--53
H.-O. Kreiss and
J. Yström A note on viscous conservation laws with
complex characteristics . . . . . . . . 55--59
Lars Ferm and
Per Lötstedt and
Paul Sjöberg Conservative solution of the
Fokker--Planck equation for stochastic
chemical reactions . . . . . . . . . . . 61--83
V. Calvez and
B. Perthame A Lyapunov function for a two-chemical
species version of the chemotaxis model 85--97
K. Henrik A. Olsson and
Axel Ruhe Rational Krylov for eigenvalue
computation and model order reduction 99--111
P. Chatzipantelidis and
R. D. Lazarov and
V. Thomée and
L. B. Wahlbin Parabolic finite element equations in
nonconvex polygonal domains . . . . . . 113--143
A.-K. Tornberg and
B. Engquist and
B. Gustafsson and
P. Wahlund A new type of boundary treatment for
wave propagation . . . . . . . . . . . . 145--170
Axel Ruhe Preface . . . . . . . . . . . . . . . . 1--1
Axel Ruhe Introduction to the Contents of Issue
46:1 . . . . . . . . . . . . . . . . . . 3--3
J. C. Butcher and
A. T. Hill Linear Multistep Methods as Irreducible
General Linear Methods . . . . . . . . . 5--19
Walter Gautschi Computing the Kontorovich--Lebedev
Integral Transforms and their Inverses 21--40
P. C. Hansen and
M. E. Kilmer and
R. H. Kjeldsen Exploiting Residual Information in the
Parameter Choice for Discrete Ill-Posed
Problems . . . . . . . . . . . . . . . . 41--59
Thomas Huckle and
Jochen Staudacher Multigrid Methods for Block Toeplitz
Matrices with Small Size Blocks . . . . 61--83
Zhiping Li The Mesh Transformation Method and
Optimal Finite Element Solutions . . . . 85--95
Andreas Rößler Runge--Kutta Methods for Itô Stochastic
Differential Equations with Scalar Noise 97--110
Tony Shardlow Modified Equations for Stochastic
Differential Equations . . . . . . . . . 111--125
Ralf Siewer Martensen Splines . . . . . . . . . . . 127--140
Sanja Singer Indefinite QR Factorization . . . . . . 141--161
Yiorgos-Sokratis Smyrlis The Method of Fundamental Solutions: a
Weighted Least--Squares Approach . . . . 163--194
Jörg Waldvogel Fast Construction of the Fejér and
Clenshaw--Curtis Quadrature Rules . . . 195--202
W. Xu and
Y. Wei and
S. Qiao Condition Numbers for Structured Least
Squares Problems . . . . . . . . . . . . 203--225
Anders Szepessy Preface and Introduction to the Contents
of Issue 46:2 . . . . . . . . . . . . . 227--227
A. Bellen and
H. Brunner and
S. Maset and
L. Torelli Superconvergence in Collocation Methods
on Quasi-Graded Meshes for Functional
Differential Equations with Vanishing
Delays . . . . . . . . . . . . . . . . . 229--247
Mats Boman Estimates for the $L[2]$-Projection onto
Continuous Finite Element Spaces in a
Weighted $L[p]$-Norm . . . . . . . . . . 249--260
E. Buckwar and
R. Horváth-Bokor and
R. Winkler Asymptotic Mean-Square Stability of
Two-Step Methods for Stochastic Ordinary
Differential Equations . . . . . . . . . 261--282
Howard C. Elman and
Alison Ramage Fourier Analysis of Multigrid for a
Model Two-Dimensional
Convection-Diffusion Equation . . . . . 283--306
Johan Helsing Approximate Inverse Preconditioners for
Some Large Dense Random Electrostatic
Interaction Matrices . . . . . . . . . . 307--323
Stefan Henn A Translation and Rotation Invariant
Gauss--Newton Like Scheme for Image
Registration . . . . . . . . . . . . . . 325--344
B. Laszkiewicz and
K. Zi\ketak Approximation of Matrices and a Family
of Gander Methods for Polar
Decomposition . . . . . . . . . . . . . 345--366
K.-S. Moon and
E. von Schwerin and
A. Szepessy and
R. Tempone Convergence Rates for an Adaptive Dual
Weighted Residual Finite Element
Algorithm . . . . . . . . . . . . . . . 367--407
A. Ostermann and
M. Thalhammer and
W. M. Wright A Class of Explicit Exponential General
Linear Methods . . . . . . . . . . . . . 409--431
S. M. Rump Verification of Positive Definiteness 433--452
Gustaf Söderlind Preface . . . . . . . . . . . . . . . . 453--454
R. H. Bartels and
G. H. Golub and
F. F. Samavati Some observations on local least squares 455--477
J. C. Butcher Thirty years of $G$-stability . . . . . 479--489
Walter Gander Generating numerical algorithms using a
computer algebra system . . . . . . . . 491--504
C. W. Gear Towards explicit methods for
differential algebraic equations . . . . 505--514
Ernst Hairer Symmetric linear multistep methods . . . 515--524
D. J. Higham and
X. Mao Nonnormality and stochastic differential
equations . . . . . . . . . . . . . . . 525--532
Marko Huhtanen and
Olavi Nevanlinna A minimum residual algorithm for solving
linear systems . . . . . . . . . . . . . 533--548
A. Iserles and
S. P. Nòrsett On the computation of highly oscillatory
multivariate integrals with stationary
points . . . . . . . . . . . . . . . . . 549--566
Rolf Jeltsch Reducibility and contractivity of
Runge--Kutta methods revisited . . . . . 567--587
S. Morigi and
L. Reichel and
F. Sgallari An iterative Lavrentiev regularization
method . . . . . . . . . . . . . . . . . 589--606
Sebastian Reich Linearly implicit time stepping methods
for numerical weather prediction . . . . 607--616
Stig Skelboe Adaptive partitioning techniques for
ordinary differential equations . . . . 617--629
Gustaf Söderlind The logarithmic norm. History and modern
theory . . . . . . . . . . . . . . . . . 631--652
L. N. Trefethen and
J. A. C. Weideman and
T. Schmelzer Talbot quadratures and rational
approximations . . . . . . . . . . . . . 653--670
G. Wanner Dahlquist's classical papers on
stability theory . . . . . . . . . . . . 671--683
Axel Ruhe Editorial . . . . . . . . . . . . . . . 685--686
Axel Ruhe Introduction to the Contents of Issue
46:4 . . . . . . . . . . . . . . . . . . 687--688
Jamie Alcock and
Kevin Burrage A note on the Balanced Method . . . . . 689--710
J. K. Cullum and
M. Tuma Matrix-free preconditioning using
partial matrix estimation . . . . . . . 711--729
Bosco García-Archilla and
Juan Sánchez and
Carles Simó Krylov methods and determinants for
detecting bifurcations in one parameter
dependent partial differential equations 731--757
G. H. Golub and
C. Greif An Arnoldi-type algorithm for computing
page rank . . . . . . . . . . . . . . . 759--771
Erika Hausenblas and
Iuliana Marchis A numerical approximation of parabolic
stochastic partial differential
equations driven by a Poisson random
measure . . . . . . . . . . . . . . . . 773--811
L. Lopez and
V. Simoncini Preserving geometric properties of the
exponential matrix by block Krylov
subspace methods . . . . . . . . . . . . 813--830
Tom Lyche and
Jean-Louis Merrien Hermite subdivision with shape
constraints on a rectangular mesh . . . 831--859
Nguyen Si Hoang and
Roger B. Sidje and
Nguyen Huu Cong On functionally-fitted Runge--Kutta
methods . . . . . . . . . . . . . . . . 861--874
N. N. Pham Thi and
W. Hundsdorfer and
B. P. Sommeijer Positivity for explicit two-step methods
in linear multistep and one-leg form . . 875--882
N. Wermuth and
M. Wiedenbeck and
D. R. Cox Partial inversion for linear systems and
partial closure of independence graphs 883--901
Axel Ruhe Preface and Introduction to the Contents
of Issue 47:1 . . . . . . . . . . . . . 1--2
U. M. Ascher and
H. Huang and
K. van den Doel Artificial time integration . . . . . . 3--25
M. A. Freitag and
A. Spence Convergence of inexact inverse iteration
with application to preconditioned
iterative solves . . . . . . . . . . . . 27--44
L. Grigori and
M. Cosnard and
E. G. Ng On the row merge tree for sparse $LU$
factorization with partial pivoting . . 45--76
Wen-Ming He and
Jun-Zhi Cui A finite element method for elliptic
problems with rapidly oscillating
coefficients . . . . . . . . . . . . . . 77--102
T. K. Jensen and
P. C. Hansen Iterative regularization with
minimum-residual methods . . . . . . . . 103--120
Nedialko S. Nedialkov and
John D. Pryce Solving differential-algebraic equations
by Taylor series (II): Computing the
System Jacobian . . . . . . . . . . . . 121--135
V. Savcenco and
W. Hundsdorfer and
J. G. Verwer A multirate time stepping strategy for
stiff ordinary differential equations 137--155
Thorsten Sickenberger and
Ewa Weinmüller and
Renate Winkler Local error estimates for moderately
smooth problems: Part I: ODEs and DAEs 157--187
A. Tocino On preserving long-time features of a
linear stochastic oscillator . . . . . . 189--196
K. Wright Adaptive methods for piecewise
polynomial collocation for ordinary
differential equations . . . . . . . . . 197--212
Krister Åhlander and
Daniel Henriksson Sparse generalized Fourier transforms 213--237
Axel Ruhe Introduction to the Contents of Issue
47:2 . . . . . . . . . . . . . . . . . . 239--240
P. Amodio and
I. Sgura High order generalized upwind schemes
and numerical solution of singular
perturbation problems . . . . . . . . . 241--257
G. Capobianco and
D. Conte and
I. Del Prete and
E. Russo Fast Runge--Kutta methods for nonlinear
convolution systems of Volterra integral
equations . . . . . . . . . . . . . . . 259--275
Ke Chen and
Joseph Savage An accelerated algebraic multigrid
algorithm for total-variation denoising 277--296
Chin-Yun Chen Verified computed Peano constants and
applications in numerical quadrature . . 297--312
Çetin Disibüyük and
Halil Oruç A generalization of rational
Bernstein--Bézier curves . . . . . . . . 313--323
F. C. Hoppensteadt and
Z. Jackiewicz and
B. Zubik-Kowal Numerical solution of Volterra integral
and integro-differential equations with
rapidly vanishing convolution kernels 325--350
A. Iserles and
G. R. W. Quispel and
P. S. P. Tse B-series Methods Cannot Be
Volume-Preserving . . . . . . . . . . . 351--378
T. Linss Maximum-norm error analysis of a
non-monotone FEM for a singularly
perturbed reaction-diffusion problem . . 379--391
Thomas Müller-Gronbach and
Klaus Ritter An implicit Euler scheme with
non-uniform time discretization for heat
equations with multiplicative noise . . 393--418
Alexander Ostermann and
Marnix van Daele Positivity of exponential Runge--Kutta
methods . . . . . . . . . . . . . . . . 419--426
G. Pisinger and
A. Zimmermann Bivariate least squares approximation
with linear constraints . . . . . . . . 427--439
A. Sommariva and
M. Vianello Product Gauss cubature over polygons
based on Green's integration formula . . 441--453
Holger Wendland On the stability of meshless symmetric
collocation for boundary value problems 455--468
Shuhuang Xiang Numerical analysis of a fast integration
method for highly oscillatory functions 469--482
Axel Ruhe Editorial . . . . . . . . . . . . . . . 483--483
Axel Ruhe Introduction to the Contents of Issue
47:3 . . . . . . . . . . . . . . . . . . 485--486
Konstantinos Chrysafinos Approximations of parabolic
integro-differential equations using
wavelet-Galerkin compression techniques 487--505
D. Cottrell and
P. F. Tupper Energy drift in molecular dynamics
simulations . . . . . . . . . . . . . . 507--523
Pilwon Kim Invariantization of numerical schemes
using moving frames . . . . . . . . . . 525--546
Jernej Kozak and
Marjetka Krajnc Geometric interpolation by planar cubic
$G^1$ splines . . . . . . . . . . . . . 547--563
William Layton Superconvergence of finite element
discretization of time relaxation models
of advection . . . . . . . . . . . . . . 565--576
Ren-Cang Li Convergence of CG and GMRES on a
tridiagonal Toeplitz linear system . . . 577--599
Zhi-Ping Li and
Carsten Carstensen An averaging scheme for macroscopic
numerical simulation of nonconvex
minimization problems . . . . . . . . . 601--611
A. Mazroui and
H. Mraoui and
D. Sbibih and
A. Tijini A new method for smoothing surfaces and
computing Hermite interpolants . . . . . 613--635
S. Olver Numerical approximation of vector-valued
highly oscillatory integrals . . . . . . 637--655
Andreas Rößler Second order Runge--Kutta methods for
Stratonovich stochastic differential
equations . . . . . . . . . . . . . . . 657--680
Kiyotaka Yamamura and
Koki Suda An efficient algorithm for finding all
solutions of separable systems of
nonlinear equations . . . . . . . . . . 681--691
Axel Ruhe Editorial . . . . . . . . . . . . . . . 693--695
Axel Ruhe Introduction to the Contents of Issue
47:4 . . . . . . . . . . . . . . . . . . 697--697
M. H. Annaby and
M. M. Tharwat Sinc-based computations of eigenvalues
of Dirac systems . . . . . . . . . . . . 699--713
Erik Burman On nonlinear artificial viscosity,
discrete maximum principle and
hyperbolic conservation laws . . . . . . 715--733
Lars Ferm and
Per Lötstedt Numerical method for coupling the macro
and meso scales in stochastic chemical
kinetics . . . . . . . . . . . . . . . . 735--762
Robert Granat and
Bo Kågström and
Daniel Kressner Computing periodic deflating subspaces
associated with a specified set of
eigenvalues . . . . . . . . . . . . . . 763--791
Marko Huhtanen Factoring matrices into the product of
two matrices . . . . . . . . . . . . . . 793--808
G. Pisinger and
A. Zimmermann Linear least squares problems with data
over incomplete grids . . . . . . . . . 809--824
P. Sablonni\`ere A quadrature formula associated with a
univariate spline quasi interpolant . . 825--837
X. H. Wang and
C. C. Xie and
S. J. Yang The Iyengar inequality, revisited . . . 839--852
Dexuan Xie and
Shuzi Zhou A new minimization protocol for solving
nonlinear Poisson--Boltzmann mortar
finite element equation . . . . . . . . 853--871
Qiang Ye and
Hongyuan Zha and
Ren-Cang Li Analysis of an alignment algorithm for
nonlinear dimensionality reduction . . . 873--885
Axel Ruhe Editorial . . . . . . . . . . . . . . . 1--2
Axel Ruhe Introduction to the Contents of Issue
48:1 . . . . . . . . . . . . . . . . . . 3--3
C. Conti and
M. Cotronei and
T. Sauer Full rank positive matrix symbols:
interpolation and orthogonality . . . . 5--27
Robert M. Corless and
Silvana Ilie Polynomial cost for solving IVP for
high-index DAE . . . . . . . . . . . . . 29--49
Nikolaos Halidias and
Peter E. Kloeden A note on the Euler--Maruyama scheme for
stochastic differential equations with a
discontinuous monotone drift coefficient 51--59
Nguyen S. Hoang and
Roger B. Sidje On the stability of functionally fitted
Runge--Kutta methods . . . . . . . . . . 61--77
J. N. Lyness and
S. Joe Determination of the rank of an
integration lattice . . . . . . . . . . 79--93
E. D. Popova and
W. Krämer Visualizing parametric solution sets . . 95--115
Aaron Solo Sharp estimates for finite element
approximations to parabolic problems
with Neumann boundary data of low
regularity . . . . . . . . . . . . . . . 117--137
Xiaonan Wu and
Gene H. Golub and
José A. Cuminato and
Jin Yun Yuan Symmetric-triangular decomposition and
its applications part II:
Preconditioners for indefinite systems 139--162
Timo Eirola and
Rolf Jeltsch and
Claes Johnson and
Erkki Somersalo and
Rolf Stenberg Perspectives in Numerical Analysis 2008 163--165
Ivo Babuska and
Robert Lipton and
Michael Stuebner The penetration function and its
application to microscale problems . . . 167--187
L. Beirão da Veiga and
C. Chinosi and
C. Lovadina and
R. Stenberg A-priori and a-posteriori error analysis
for a family of Reissner--Mindlin plate
elements . . . . . . . . . . . . . . . . 189--213
V. Grimm and
M. Hochbruck Rational approximation to trigonometric
operators . . . . . . . . . . . . . . . 215--229
E. Hairer and
R. I. McLachlan and
A. Razakarivony Achieving Brouwer's law with implicit
Runge--Kutta methods . . . . . . . . . . 231--243
Martin Hanke and
Nuutti Hyvönen and
Manfred Lehn and
Stefanie Reusswig Source supports in electrostatics . . . 245--264
Markus Hegland and
Andreas Hellander and
Per Lötstedt Sparse grids and hybrid methods for the
chemical master equation . . . . . . . . 265--283
Johan Hoffman and
Claes Johnson Blow up of incompressible Euler
solutions . . . . . . . . . . . . . . . 285--307
R. Bruce Kellogg and
Martin Stynes Layers and corner singularities in
singularly perturbed elliptic problems 309--314
A. Pedas and
G. Vainikko What is the complexity of periodic
weakly singular integral equations? . . 315--335
J. Pohjanpelto Reduction of exterior differential
systems with infinite dimensional
symmetry groups . . . . . . . . . . . . 337--355
C. de Souza and
F. Béchet and
D. Leguillon and
É. Sanchez-Palencia Anisotropic adaptive mesh procedure for
computing very thin hyperbolic shells 357--387
A. R. Terrel and
L. R. Scott and
M. G. Knepley and
R. C. Kirby Automated FEM discretizations for the
Stokes equation . . . . . . . . . . . . 389--404
J. Tuomela Kinematic analysis of multibody systems 405--421
Axel Ruhe Introduction to the Contents of Issue
48:3 . . . . . . . . . . . . . . . . . . 423--424
A. Asheim A combined Filon/asymptotic quadrature
method for highly oscillatory problems 425--448
B. Bialecki and
G. Fairweather and
A. Karageorghis and
Q. N. Nguyen Optimal superconvergent one step
quadratic spline collocation methods . . 449--472
F. Calabr\`o and
A. Corbo Esposito An efficient and reliable quadrature
algorithm for integration with respect
to binomial measures . . . . . . . . . . 473--491
Xiao Shan Chen Two perturbation bounds for singular
values and eigenvalues . . . . . . . . . 493--497
F. Costabile and
A. Napoli Economical Runge--Kutta methods for
numerical solution of stochastic
differential equations . . . . . . . . . 499--509
Xiuhong Du and
Daniel B. Szyld Inexact GMRES for singular linear
systems . . . . . . . . . . . . . . . . 511--531
X. Gao and
F. Liu and
A. Zhou Three-scale finite element eigenvalue
discretizations . . . . . . . . . . . . 533--562
B. Kågström and
D. Kressner and
E. S. Quintana-Ortí and
G. Quintana-Ortí Blocked algorithms for the reduction to
Hessenberg-triangular form revisited . . 563--584
D. Leykekhman and
L. B. Wahlbin A posteriori error estimates by
recovered gradients in parabolic finite
element equations . . . . . . . . . . . 585--605
L. Marcinkowski and
T. Rahman Neumann--Neumann algorithms for a mortar
Crouzeix--Raviart element for 2nd order
elliptic problems . . . . . . . . . . . 607--626
Lothar Reichel and
Andriy Shyshkov A new zero-finder for Tikhonov
regularization . . . . . . . . . . . . . 627--643
Åke Björck Editorial . . . . . . . . . . . . . . . 645--647
Axel Ruhe Introduction to the Contents of Issue
48:4 . . . . . . . . . . . . . . . . . . 649--650
Johnathan M. Bardsley Stopping rules for a nonnegatively
constrained iterative method for
ill-posed Poisson imaging problems . . . 651--664
Paolo Costantini and
Francesca Pelosi and
Maria L. Sampoli New spline spaces with generalized
tension properties . . . . . . . . . . . 665--688
Çetin Disibüyük and
Halil Oruç Tensor product $q$-Bernstein polynomials 689--700
Tobin A. Driscoll and
Folkmar Bornemann and
Lloyd N. Trefethen The \tt chebop system for automatic
solution of differential equations . . . 701--723
N. S. Hoang and
A. G. Ramm An iterative scheme for solving
nonlinear equations with monotone
operators . . . . . . . . . . . . . . . 725--741
M. Khanamiryan Quadrature methods for highly
oscillatory linear and nonlinear systems
of ordinary differential equations: part
I . . . . . . . . . . . . . . . . . . . 743--761
L. Luksan and
C. Matonoha and
J. Vlcek On Lagrange multipliers of trust-region
subproblems . . . . . . . . . . . . . . 763--768
J. Matejas and
V. Hari Relative eigenvalue and singular value
perturbations of scaled diagonally
dominant matrices . . . . . . . . . . . 769--781
Axel Ruhe Preface and Introduction to the Contents
of Issue 49:1 . . . . . . . . . . . . . 1--2
Marc Baboulin and
Serge Gratton Using dual techniques to derive
componentwise and mixed condition
numbers for a linear function of a
linear least squares solution . . . . . 3--19
C. Cartis and
N. I. M. Gould and
P. L. Toint Trust-region and other regularisations
of linear least-squares problems . . . . 21--53
Stefano De Marchi and
Marco Vianello and
Yuan Xu New cubature formulae and
hyperinterpolation in three variables 55--73
H. Hakula and
N. Hyvönen On computation of test dipoles for
factorization method . . . . . . . . . . 75--91
L. L. Hewitt and
A. T. Hill Algebraically stable general linear
methods and the G-matrix . . . . . . . . 93--111
Arnulf Jentzen and
Peter E. Kloeden Pathwise Taylor schemes for random
ordinary differential equations . . . . 113--140
Georg Kitzhofer and
Othmar Koch and
Ewa B. Weinmüller Path following for essentially singular
boundary value problems with application
to the complex Ginzburg--Landau equation 141--160
René Lamour and
Francesca Mazzia Computation of consistent initial values
for properly stated index 3 DAEs . . . . 161--175
R. I. McLachlan and
G. R. W. Quispel and
P. S. P. Tse Linearization-preserving self-adjoint
and symplectic integrators . . . . . . . 177--197
Christof Neuhauser and
Mechthild Thalhammer On the convergence of splitting methods
for linear evolutionary Schrödinger
equations involving an unbounded
potential . . . . . . . . . . . . . . . 199--215
Thorsten Sickenberger and
Ewa Weinmüller and
Renate Winkler Local error estimates for moderately
smooth problems: Part II --- SDEs and
SDAEs with small noise . . . . . . . . . 217--245
Axel Ruhe Introduction to the contents of issue
49:2 . . . . . . . . . . . . . . . . . . 247--248
Ben Adcock Univariate modified Fourier methods for
second order boundary value problems . . 249--280
Benjamin F. Bunck A fast algorithm for evaluation of
normalized Hermite functions . . . . . . 281--295
Etienne Emmrich Convergence of the variable two-step BDF
time discretisation of nonlinear
evolution problems governed by a
monotone potential operator . . . . . . 297--323
J. A. Ezquerro and
M. A. Hernández New iterations of $R$-order four with
reduced computational cost . . . . . . . 325--342
Matthias Geissert and
Mihály Kovács and
Stig Larsson Rate of weak convergence of the finite
element method for the stochastic heat
equation with additive noise . . . . . . 343--356
Juan Carlos Jimenez and
Felix Carbonell Rate of convergence of Local
Linearization schemes for random
differential equations . . . . . . . . . 357--373
Ujjwal Koley and
Siddhartha Mishra and
Nils Henrik Risebro and
Magnus Svärd Higher order finite difference schemes
for the magnetic induction equations . . 375--395
James N. Lyness and
James W. Lottes Asymptotic expansions for oscillatory
integrals using inverse functions . . . 397--417
Siegfried M. Rump and
Paul Zimmermann and
Sylvie Boldo and
Guillaume Melquiond Computing predecessor and successor in
rounding to nearest . . . . . . . . . . 419--431
Christof Vömel and
Jason Slemons Twisted factorization of a banded matrix 433--447
Jörg Wensch and
Oswald Knoth and
Alexander Galant Multirate infinitesimal step methods for
atmospheric flow simulation . . . . . . 449--473
Axel Ruhe Introduction to the Contents of Issue
49:3 . . . . . . . . . . . . . . . . . . 475--476
Rafael G. Campos and
Francisco Mejía Díaz Quadrature formulas for the Laplace and
Mellin transforms . . . . . . . . . . . 477--486
F. Castella and
P. Chartier and
S. Descombes and
G. Vilmart Splitting methods with complex times for
parabolic equations . . . . . . . . . . 487--508
Kui Du and
Graeme Fairweather and
Que N. Nguyen and
Weiwei Sun Matrix decomposition algorithms for the
$C^0$-quadratic finite element Galerkin
method . . . . . . . . . . . . . . . . . 509--526
Eskil Hansen and
Alexander Ostermann High order splitting methods for
analytic semigroups exist . . . . . . . 527--542
Frances Y. Kuo and
Grzegorz W. Wasilkowski and
Henryk Wo\'zniakowski On the power of standard information for
$L_\infty$ approximation in the
randomized setting . . . . . . . . . . . 543--564
Paola Lamberti Numerical integration based on bivariate
quadratic spline quasi-interpolants on
bounded domains . . . . . . . . . . . . 565--588
A. Lamnii and
H. Mraoui and
D. Sbibih and
A. Zidna A multiresolution method for fitting
scattered data on the sphere . . . . . . 589--610
Francesca Mazzia and
Alessandra Sestini The BS class of Hermite spline
quasi-interpolants on nonuniform knot
distributions . . . . . . . . . . . . . 611--628
Silvia Noschese and
Lothar Reichel The structured distance to normality of
banded Toeplitz matrices . . . . . . . . 629--640
Axel Ruhe Collaborators for volume 49 . . . . . . 641--643
Snorre H. Christiansen and
Tore Gunnar Halvorsen Convergence of lattice gauge theory for
Maxwell's equations . . . . . . . . . . 645--667
Iveta Hnetynková and
Martin Plesinger and
Zdenek Strakos The regularizing effect of the
Golub--Kahan iterative bidiagonalization
and revealing the noise level in the
data . . . . . . . . . . . . . . . . . . 669--696
Mohammad Izadi A posteriori error estimates for the
coupling equations of scalar
conservation laws . . . . . . . . . . . 697--720
Ricardo Pachón and
Lloyd N. Trefethen Barycentric--Remez algorithms for best
polynomial approximation in the \tt
chebfun system . . . . . . . . . . . . . 721--741
Ljiljana Teofanov and
Helena Zarin Superconvergence analysis of a finite
element method for a two-parameter
singularly perturbed problem . . . . . . 743--765
Axel Ruhe Introduction to the contents of issue
50:1 . . . . . . . . . . . . . . . . . . 1--2
M. Calvo and
J. M. Franco and
J. I. Montijano and
L. Rández On high order symmetric and symplectic
trigonometrically fitted Runge--Kutta
methods with an even number of stages 3--21
P. Chartier and
E. Darrigrand and
E. Faou A regular fast multipole method for
geometric numerical integrations of
Hamiltonian systems . . . . . . . . . . 23--40
Xiao Shan Chen Perturbation bounds for the periodic
Schur decomposition . . . . . . . . . . 41--58
Armin Lechleiter Imaging of periodic dielectrics . . . . 59--83
Siddhartha Mishra and
Magnus Svärd On stability of numerical schemes via
frozen coefficients and the magnetic
induction equations . . . . . . . . . . 85--108
Yuji Nakatsukasa Perturbation behavior of a multiple
eigenvalue in generalized Hermitian
eigenvalue problems . . . . . . . . . . 109--121
Sotirios E. Notaris The error norm of Gauss--Radau
quadrature formulae for Chebyshev weight
functions . . . . . . . . . . . . . . . 123--147
Sheehan Olver Fast, numerically stable computation of
oscillatory integrals with stationary
points . . . . . . . . . . . . . . . . . 149--171
Lennart Simonsson and
Lars Eldén Grassmann algorithms for low rank
approximation of matrices with missing
values . . . . . . . . . . . . . . . . . 173--191
Jiming Wu and
Xiaoping Zhang and
Dongjie Liu An efficient calculation of the Clausen
functions $\mathrm{Cl}_n(\theta), (n
\geq 2)$ . . . . . . . . . . . . . . . . 193--206
Naimin Zhang A note on preconditioned GMRES for
solving singular linear systems . . . . 207--220
Axel Ruhe Introduction to the contents of issue
50:2 . . . . . . . . . . . . . . . . . . 221--222
M. Calvo and
M. P. Laburta and
J. I. Montijano and
L. Rández Projection methods preserving Lyapunov
functions . . . . . . . . . . . . . . . 223--241
Gheorghe Coman and
Teodora Catinas Interpolation operators on a triangle
with one curved side . . . . . . . . . . 243--267
Costanza Conti and
Lucia Romani Affine combination of B-spline
subdivision masks and its non-stationary
counterparts . . . . . . . . . . . . . . 269--299
Sergei Gusev and
Stefan Johansson and
Bo Kågström and
Anton Shiriaev and
Andras Varga A numerical evaluation of solvers for
the periodic Riccati differential
equation . . . . . . . . . . . . . . . . 301--329
Helge Holden and
Nils Henrik Risebro and
Hilde Sande Front tracking for a model of immiscible
gas flow with large data . . . . . . . . 331--376
Chong-Jun Li and
Vittoria Demichelis and
Catterina Dagnino Finite-part integrals over polygons by
an $8$-node quadrilateral spline finite
element . . . . . . . . . . . . . . . . 377--394
Deanna Needell Randomized Kaczmarz solver for noisy
linear systems . . . . . . . . . . . . . 395--403
Stig Skelboe Adaptive partitioning techniques for
index 1 IDEs . . . . . . . . . . . . . . 405--423
Zhe Sun and
Jinping Zeng and
Donghui Li Semismooth Newton Schwarz iterative
methods for the linear complementarity
problem . . . . . . . . . . . . . . . . 425--449
Axel Ruhe Editorial . . . . . . . . . . . . . . . 451--453
Winfried Auzinger and
Felix Kramer On the stability and error structure of
BDF schemes applied to linear parabolic
evolution equations . . . . . . . . . . 455--480
Fermín S. Viloche Bazán and
Leonardo S. Borges GKB-FP: an algorithm for large-scale
discrete ill-posed problems . . . . . . 481--507
H. De la Cruz Cancino and
R. J. Biscay and
J. C. Jimenez and
F. Carbonell and
T. Ozaki High order local linearization methods:
an approach for constructing $A$-stable
explicit schemes for stochastic
differential equations with additive
noise . . . . . . . . . . . . . . . . . 509--539
Kristian Debrabant Runge--Kutta methods for third order
weak approximation of SDEs with
multidimensional additive noise . . . . 541--558
Marco Donatelli Fast transforms for high order boundary
conditions in deconvolution problems . . 559--576
Michael S. Floater A chain rule for multivariate divided
differences . . . . . . . . . . . . . . 577--586
Karin Kraft and
Stig Larsson The dual weighted residuals approach to
optimal control of ordinary differential
equations . . . . . . . . . . . . . . . 587--607
Jaeun Ku Pointwise error estimates for a
stabilized Galerkin method:
non-selfadjoint problems . . . . . . . . 609--630
María López-Fernández A quadrature based method for evaluating
exponential-type functions for
exponential methods . . . . . . . . . . 631--655
André Nagamine and
José Alberto Cuminato A collocation method for solving
singular integro-differential equations 657--688
Axel Ruhe Editorial . . . . . . . . . . . . . . . 689--692
Hermann Brunner and
Hui Liang Stability of collocation methods for
delay differential equations with
vanishing delays . . . . . . . . . . . . 693--711
J. C. Butcher and
T. M. H. Chan The tree and forest spaces with
applications to initial-value problem
methods . . . . . . . . . . . . . . . . 713--728
Stéphane Descombes and
Mechthild Thalhammer An exact local error representation of
exponential operator splitting methods
for evolutionary problems and
applications to linear Schrödinger
equations in the semi-classical regime 729--749
N. S. Hoang Dynamical Systems Method of gradient
type for solving nonlinear equations
with monotone operators . . . . . . . . 751--780
Michael J. Holst and
Mats G. Larson and
Axel Målqvist and
Robert Söderlund Convergence analysis of finite element
approximations of the Joule heating
problem in three spatial dimensions . . 781--795
Tobias Jahnke and
Derya Altintan Efficient simulation of discrete
stochastic reaction systems with a
splitting method . . . . . . . . . . . . 797--822
Jian Li and
Lihua Shen and
Zhangxin Chen Convergence and stability of a
stabilized finite volume method for the
stationary Navier--Stokes equations . . 823--842
P. Sablonni\`ere and
D. Sbibih and
M. Tahrichi Error estimate and extrapolation of a
quadrature formula derived from a
quartic spline quasi-interpolant . . . . 843--862
Suzanne M. Shontz and
Stephen A. Vavasis Analysis of and workarounds for element
reversal for a finite element-based
algorithm for warping triangular and
tetrahedral meshes . . . . . . . . . . . 863--884
M. D. Stuber and
V. Kumar and
P. I. Barton Nonsmooth exclusion test for finding all
solutions of nonlinear equations . . . . 885--917
Axel Ruhe BIT50 . . . . . . . . . . . . . . . . . 1--5
Ben Adcock Gibbs phenomenon and its removal for a
class of orthogonal expansions . . . . . 7--41
Winfried Auzinger and
Herbert Lehner and
Ewa Weinmüller An efficient asymptotically correct
error estimator for collocation
solutions to singular index-1 DAEs . . . 43--65
Alex Barnett and
Leslie Greengard A new integral representation for
quasi-periodic scattering problems in
two dimensions . . . . . . . . . . . . . 67--90
David Cohen and
Ernst Hairer Linear energy-preserving integrators for
Poisson systems . . . . . . . . . . . . 91--101
Walter Gautschi Optimally scaled and optimally
conditioned Vandermonde and
Vandermonde-like matrices . . . . . . . 103--125
David F. Gleich and
Ying Wang and
Xiangrui Meng and
Farnaz Ronaghi and
Margot Gerritsen and
Amin Saberi Some computational tools for digital
archive and metadata maintenance . . . . 127--154
S. González-Pinto and
D. Hernández-Abreu Global error estimates for a
uniparametric family of stiffly accurate
Runge--Kutta collocation methods on
singularly perturbed problems . . . . . 155--175
Desmond J. Higham and
Somkid Intep and
Xuerong Mao and
Lukasz Szpruch Hybrid simulation of autoregulation
within transcription and translation . . 177--196
Michiel E. Hochstenbach and
Lothar Reichel Fractional Tikhonov regularization for
linear discrete ill-posed problems . . . 197--215
Alison Ramage and
Lina von Sydow A multigrid preconditioner for an
adaptive Black--Scholes solver . . . . . 217--233
Sebastian Reich A dynamical systems framework for
intermittent data assimilation . . . . . 235--249
Axel Ruhe Introduction to the contents of issue
51:2 . . . . . . . . . . . . . . . . . . 251--252
Jeffrey M. Connors and
Attou Miloua Partitioned time discretization for
parallel solution of coupled ODE systems 253--273
Ronald Cools and
Koen Poppe Chebyshev lattices, a unifying framework
for cubature with Chebyshev weight
function . . . . . . . . . . . . . . . . 275--288
Kaushik Mukherjee and
Srinivasan Natesan Optimal error estimate of upwind scheme
on Shishkin-type meshes for singularly
perturbed parabolic problems with
discontinuous convection coefficients 289--315
E. O'Riordan and
J. Quinn Parameter-uniform numerical methods for
some linear and nonlinear singularly
perturbed convection diffusion boundary
turning point problems . . . . . . . . . 317--337
Tomoaki Okayama and
Takayasu Matsuo and
Masaaki Sugihara Improvement of a Sinc-collocation method
for Fredholm integral equations of the
second kind . . . . . . . . . . . . . . 339--366
Siegfried M. Rump Verified bounds for singular values, in
particular for the spectral norm of a
matrix and its inverse . . . . . . . . . 367--384
Jennifer Scott and
Miroslav Tuma The importance of structure in
incomplete factorization preconditioners 385--404
Lukasz Szpruch and
Xuerong Mao and
Desmond J. Higham and
Jiazhu Pan Numerical simulation of a strongly
nonlinear Ait--Sahalia-type interest
rate model . . . . . . . . . . . . . . . 405--425
J. G. Verwer Component splitting for semi-discrete
Maxwell equations . . . . . . . . . . . 427--445
James F. Whidborne and
Nathalie Amar Computing the maximum transient energy
growth . . . . . . . . . . . . . . . . . 447--457
Qinghui Zhang Theoretical analysis of numerical
integration in Galerkin meshless methods 459--480
Axel Ruhe Introduction to the contents of issue
51:3 . . . . . . . . . . . . . . . . . . 481--482
Lehel Banjai and
Christian Lubich An error analysis of Runge--Kutta
convolution quadrature . . . . . . . . . 483--496
Sergiy Borodachov and
Tatyana Sorokina An optimal multivariate spline method of
recovery of twice differentiable
functions . . . . . . . . . . . . . . . 497--511
Christine Böckmann and
Athassawat Kammanee Broyden method for inverse non-symmetric
Sturm--Liouville problems . . . . . . . 513--528
Kristian Debrabant and
Anne Kværnò B-series analysis of iterated Taylor
methods . . . . . . . . . . . . . . . . 529--553
Luca Dieci and
Cinzia Elia and
Erik Van Vleck Detecting exponential dichotomy on the
real line: SVD and QR algorithms . . . . 555--579
Etienne Emmrich Time discretisation of monotone
nonlinear evolution problems by the
discontinuous Galerkin method . . . . . 581--607
Hui Feng and
Xiaoping Zhang and
Jin Li Numerical solution of a certain
hypersingular integral equation of the
first kind . . . . . . . . . . . . . . . 609--630
Sebastian Franz SDFEM with non-standard higher-order
finite elements for a
convection-diffusion problem with
characteristic boundary layers . . . . . 631--651
Tomas Johnson and
Warwick Tucker On a computer-aided approach to the
computation of Abelian integrals . . . . 653--667
E. Klann and
R. Ramlau and
L. Reichel Wavelet-based multilevel methods for
linear ill-posed problems . . . . . . . 669--694
D. Noutsos and
P. Vassalos Band plus algebra preconditioners for
two-level Toeplitz systems . . . . . . . 695--719
Jelena Popovic and
Olof Runborg Analysis of a fast method for solving
the high frequency Helmholtz equation in
one dimension . . . . . . . . . . . . . 721--755
Sara Remogna Quasi-interpolation operators based on
the trivariate seven-direction $C^2$
quartic box spline . . . . . . . . . . . 757--776
Axel Ruhe Editorial . . . . . . . . . . . . . . . 777--780
Carolina Vittoria Beccari and
Giulio Casciola and
Lucia Romani Non-uniform interpolatory curve
subdivision with edge parameters built
upon compactly supported fundamental
splines . . . . . . . . . . . . . . . . 781--808
Simone Cifani and
Espen R. Jakobsen and
Kenneth H. Karlsen The discontinuous Galerkin method for
fractional degenerate
convection-diffusion equations . . . . . 809--844
Ben Cumming and
Tim Moroney and
Ian Turner A mass-conservative control
volume-finite element method for solving
Richards' equation in heterogeneous
porous media . . . . . . . . . . . . . . 845--864
Xin He and
Maya Neytcheva and
Stefano Serra Capizzano On an augmented Lagrangian-based
preconditioning of Oseen type problems 865--888
Marlis Hochbruck and
Alexander Ostermann Exponential multistep methods of
Adams-type . . . . . . . . . . . . . . . 889--908
W. Hundsdorfer and
A. Mozartova and
M. N. Spijker Special boundedness properties in
numerical initial value problems . . . . 909--936
Elias Jarlebring and
Wim Michiels Analyzing the convergence factor of
residual inverse iteration . . . . . . . 937--957
Carl Christian Kjelgaard Mikkelsen Retracing the residual curve of a
Lyapunov equation solver . . . . . . . . 959--975
Klas Modin and
Gustaf Söderlind Geometric integration of Hamiltonian
systems perturbed by Rayleigh damping 977--1007
Vedran Novakovi\'c and
Sanja Singer A GPU-based hyperbolic SVD algorithm . . 1009--1030
H. V. Smith and
D. B. Hunter The numerical evaluation of the error
term in a quadrature formula of
Clenshaw--Curtis type for the Gegenbauer
weight function . . . . . . . . . . . . 1031--1038
Joris Van Deun and
Lloyd N. Trefethen A robust implementation of the
Carathéodory--Fejér method for rational
approximation . . . . . . . . . . . . . 1039--1050
Dexuan Xie and
L. Ridgway Scott A new boundary integral equation for
molecular electrostatics with charges
over whole space . . . . . . . . . . . . 1051--1071
Axel Ruhe Preface to BIT 52:1 . . . . . . . . . . 1--2
Winfried Auzinger and
Magdalena Lapi\'nska Convergence of rational multistep
methods of Adams--Padé type . . . . . . . 3--20
Romina Gobbi and
Renato Spigler Comparing Shannon to
autocorrelation-based wavelets for
solving singularly perturbed elliptic BV
problems . . . . . . . . . . . . . . . . 21--43
Martin Hanke and
Lauri Harhanen and
Nuutti Hyvönen and
Eva Schweickert Convex source support in three
dimensions . . . . . . . . . . . . . . . 45--63
Antti Hannukainen Continuous preconditioners for the mixed
Poisson problem . . . . . . . . . . . . 65--83
Mihály Kovács and
Stig Larsson and
Fredrik Lindgren Weak convergence of finite element
approximations of linear stochastic
evolution equations with additive noise 85--108
Raphael Kruse Characterization of bistability for
stochastic multistep methods . . . . . . 109--140
G. N. Milstein and
M. V. Tretyakov Solving the Dirichlet problem for
Navier--Stokes equations by
probabilistic approach . . . . . . . . . 141--153
Allan Perämäki Convergence of a numerical solver for an
$R$-linear Beltrami equation . . . . . . 155--178
Evgenija D. Popova Explicit description of $2$D parametric
solution sets . . . . . . . . . . . . . 179--200
Siegfried M. Rump Error estimation of floating-point
summation and dot product . . . . . . . 201--220
D. Sbibih and
A. Serghini and
A. Tijini Normalized trivariate B-splines on
Worsey--Piper split and
quasi-interpolants . . . . . . . . . . . 221--249
Liping Wen and
Xiong Liu Numerical stability of one-leg methods
for neutral delay differential equations 251--269
Axel Ruhe Introduction to the contents of issue
52:2 . . . . . . . . . . . . . . . . . . 271--272
A. Abdi and
J. C. Butcher Order bounds for second derivative
approximations . . . . . . . . . . . . . 273--281
C. E. Dangerfield and
D. Kay and
S. MacNamara and
K. Burrage A boundary preserving numerical
algorithm for the Wright--Fisher model
with mutation . . . . . . . . . . . . . 283--304
Marco Donatelli and
Stefano Serra-Capizzano and
Debora Sesana Multigrid methods for Toeplitz linear
systems with different size reduction 305--327
T. L. Jensen and
J. H. Jòrgensen and
P. C. Hansen and
S. H. Jensen Implementation of an optimal first-order
method for strongly convex total
variation regularization . . . . . . . . 329--356
J. C. Jimenez and
H. de la Cruz Cancino Convergence rate of strong Local
Linearization schemes for stochastic
differential equations with additive
noise . . . . . . . . . . . . . . . . . 357--382
Marianna Khanamiryan Quadrature methods for highly
oscillatory linear and non-linear
systems of ordinary differential
equations: part II . . . . . . . . . . . 383--405
Georges Klein and
Jean-Paul Berrut Linear barycentric rational quadrature 407--424
Frances Y. Kuo and
Henryk Wo\'zniakowski Gauss--Hermite quadratures for functions
from Hilbert spaces with Gaussian
reproducing kernels . . . . . . . . . . 425--436
Dominique Küpper and
Anne Kværnò and
Andreas Rößler A Runge--Kutta method for index $1$
stochastic differential-algebraic
equations with scalar noise . . . . . . 437--455
Akil Narayan and
Jan S. Hesthaven Computation of connection coefficients
and measure modifications for orthogonal
polynomials . . . . . . . . . . . . . . 457--483
Hassane Sadok and
Daniel B. Szyld A new look at CMRH and its relation to
GMRES . . . . . . . . . . . . . . . . . 485--501
Alicja Smoktunowicz and
Iwona Wróbel Numerical aspects of computing the
Moore--Penrose inverse of full column
rank matrices . . . . . . . . . . . . . 503--524
Huiqing Xie An iterative method for partial
derivatives of eigenvectors of quadratic
eigenvalue problems . . . . . . . . . . 525--536
Axel Ruhe Introduction to the contents of issue
52:3 . . . . . . . . . . . . . . . . . . 537--538
Jamie Alcock and
Kevin Burrage Stable strong order $1.0$ schemes for
solving stochastic ordinary differential
equations . . . . . . . . . . . . . . . 539--557
Sören Bartels and
Patrick Schreier Local coarsening of simplicial finite
element meshes generated by bisections 559--569
Per Bergström and
Ove Edlund and
Inge Söderkvist Efficient computation of the
Gauss--Newton direction when fitting
NURBS using ODR . . . . . . . . . . . . 571--588
Petru A. Cioica and
Stephan Dahlke and
Nicolas Döhring and
Stefan Kinzel and
Felix Lindner and
others Adaptive wavelet methods for the
stochastic Poisson equation . . . . . . 589--614
B. Engquist and
J. Häggblad and
O. Runborg On energy preserving consistent boundary
conditions for the Yee scheme in $2$D 615--637
Volker Grimm Resolvent Krylov subspace approximation
to operator functions . . . . . . . . . 639--659
Ralf Hiptmair and
Shipeng Mao Stable multilevel splittings of boundary
edge element spaces . . . . . . . . . . 661--685
Gérard Meurant GMRES and the Arioli, Pták, and Strakos
parametrization . . . . . . . . . . . . 687--702
Georg Muntingh Divided differences of multivariate
implicit functions . . . . . . . . . . . 703--723
Mohammad Shakourifar and
Wayne Enright Superconvergent interpolants for
collocation methods applied to Volterra
integro-differential equations with
delay . . . . . . . . . . . . . . . . . 725--740
Xiaojie Wang and
Siqing Gan and
Desheng Wang A family of fully implicit Milstein
methods for stiff stochastic
differential equations with
multiplicative noise . . . . . . . . . . 741--772
Xinyuan Wu and
Bin Wang and
Jianlin Xia Explicit symplectic multidimensional
exponential fitting modified
Runge--Kutta--Nyström methods . . . . . . 773--795
Axel Ruhe Editorial . . . . . . . . . . . . . . . 797--800
Lyonell Boulton and
Michael Strauss Eigenvalue enclosures and convergence
for the linearized MHD operator . . . . 801--825
Zvonimir Bujanovi\'c and
Zlatko Drmac A contribution to the theory and
practice of the block Kogbetliantz
method for computing the SVD . . . . . . 827--849
Haotao Cai A fast numerical solution for the first
kind boundary integral equation for the
Helmholtz equation . . . . . . . . . . . 851--875
David Cohen and
Ludwig Gauckler One-stage exponential integrators for
nonlinear Schrödinger equations over long
times . . . . . . . . . . . . . . . . . 877--903
Paolo Corti and
Siddhartha Mishra Stable finite difference schemes for the
magnetic induction equation with Hall
effect . . . . . . . . . . . . . . . . . 905--932
Cedric Effenberger and
Daniel Kressner Chebyshev interpolation for nonlinear
eigenvalue problems . . . . . . . . . . 933--951
Xuli Han and
Yuanpeng Zhu Curve construction based on five
trigonometric blending functions . . . . 953--979
Holger Heumann and
Ralf Hiptmair and
Kun Li and
Jinchao Xu Fully discrete semi-Lagrangian methods
for advection of differential forms . . 981--1007
Marie-Laurence Mazure On a new criterion to decide whether a
spline space can be used for design . . 1009--1034
Miroslav Rozlozník and
Miroslav Tuma and
Alicja Smoktunowicz and
Ji\vrí Kopal Numerical stability of orthogonalization
methods with a non-standard inner
product . . . . . . . . . . . . . . . . 1035--1058
Siegfried M. Rump Interval arithmetic over finitely many
endpoints . . . . . . . . . . . . . . . 1059--1075
Axel Ruhe Preface to BIT 53:1 . . . . . . . . . . 1--2
Andrea Barth and
Annika Lang and
Christoph Schwab Multilevel Monte Carlo method for
parabolic stochastic partial
differential equations . . . . . . . . . 3--27
B. Cano Conservation of invariants by symmetric
multistep cosine methods for
second-order partial differential
equations . . . . . . . . . . . . . . . 29--56
Julio E. Castrillón-Candás and
Jun Li and
Victor Eijkhout A discrete adapted hierarchical basis
solver for radial basis function
interpolation . . . . . . . . . . . . . 57--86
Catterina Dagnino and
Sara Remogna and
Paul Sablonni\`ere Error bounds on the approximation of
functions and partial derivatives by
quadratic spline quasi-interpolants on
non-uniform criss-cross triangulations
of a rectangular domain . . . . . . . . 87--109
Daniele A. Di Pietro and
Jean-Marc Gratien and
Christophe Prud'homme A domain-specific embedded language in
C++ for lowest-order discretizations of
diffusive problems on general meshes . . 111--152
David R. Martin and
Lothar Reichel Minimization of functionals on the
solution of a large-scale discrete
ill-posed problem . . . . . . . . . . . 153--173
P. Sablonni\`ere and
D. Sbibih and
M. Tahrichi Numerical integration based on bivariate
quadratic spline quasi-interpolants on
Powell--Sabin partitions . . . . . . . . 175--192
Plamen Simeonov and
Ron Goldman Quantum B-splines . . . . . . . . . . . 193--223
Gang Wu and
Yimin Wei and
Zhi-gang Jia and
Si-tao Ling and
Lu Zhang Towards backward perturbation bounds for
approximate dual Krylov subspaces . . . 225--239
Shuhuang Xiang and
Hermann Brunner Efficient methods for Volterra integral
equations with highly oscillatory Bessel
kernels . . . . . . . . . . . . . . . . 241--263
Huiyan Xue and
Antonella Zanna Explicit volume-preserving splitting
methods for polynomial divergence-free
vector fields . . . . . . . . . . . . . 265--281
Axel Ruhe Preface to BIT 53:2 . . . . . . . . . . 283--284
James Baglama and
Lothar Reichel An implicitly restarted block Lanczos
bidiagonalization method using Leja
shifts . . . . . . . . . . . . . . . . . 285--310
M. Bebendorf and
M. Bollhöfer and
M. Bratsch Hierarchical matrix approximation with
blockwise constraints . . . . . . . . . 311--339
T. Björk and
A. Szepessy and
R. Tempone and
G. E. Zouraris Monte Carlo Euler approximations of HJM
term structure financial models . . . . 341--383
J. M. Carnicer and
J. Delgado and
J. M. Peña Richardson's iterative method for
surface interpolation . . . . . . . . . 385--396
Michael S. Floater and
Bartlomiej P. Siwek Analysis of Hermite subdivision using
piecewise polynomials . . . . . . . . . 397--409
Yong-Xia Hao and
Chong-Jun Li and
Ren-Hong Wang An approximation method based on MRA for
the quasi-plateau problem . . . . . . . 411--442
Rong Huang Factoring symmetric totally nonpositive
matrices and inverses with a diagonal
pivoting method . . . . . . . . . . . . 443--458
T. Huckle and
M. Sedlacek Data based regularization for discrete
deconvolution problems . . . . . . . . . 459--473
Max Jensen and
Axel Målqvist Finite element convergence for the Joule
heating problem with mixed boundary
conditions . . . . . . . . . . . . . . . 475--496
Mihály Kovács and
Stig Larsson and
Fredrik Lindgren Weak convergence of finite element
approximations of linear stochastic
evolution equations with additive noise
II. Fully discrete schemes . . . . . . . 497--525
Ioana Pantelimon and
Constantin Popa Constraining by a family of strictly
nonexpansive idempotent functions with
applications in image reconstruction . . 527--544
Kholmat M. Shadimetov and
Abdullo R. Hayotov Construction of interpolation splines
minimizing semi-norm in $ W(m, m - 1)2
(0, 1) W_2^{(m, m - 1)}(0, 1) $ space 545--563
Axel Ruhe Preface to BIT 53:3 . . . . . . . . . . 565--566
John Carroll and
Eoin O'Callaghan Exponential almost Runge--Kutta methods
for semilinear problems . . . . . . . . 567--594
Stefan Güttel and
Leonid Knizhnerman A black-box rational Arnoldi variant for
Cauchy--Stieltjes matrix functions . . . 595--616
Yoshio Komori and
Evelyn Buckwar Stochastic Runge--Kutta methods with
deterministic high order for ordinary
differential equations . . . . . . . . . 617--639
Gunilla Kreiss and
Kenneth Duru Discrete stability of perfectly matched
layers for anisotropic wave equations in
first and second order formulation . . . 641--663
Huipo Liu and
Wei Gong and
Shuanghu Wang and
Ningning Yan Superconvergence and a posteriori error
estimates for the Stokes eigenvalue
problems . . . . . . . . . . . . . . . . 665--687
Fardin Saedpanah A posteriori error analysis for a
continuous space-time finite element
method for a hyperbolic
integro-differential equation . . . . . 689--716
Bernhard A. Schmitt and
Rüdiger Weiner and
Steffen Beck Two-step peer methods with continuous
output . . . . . . . . . . . . . . . . . 717--739
Ralf Siewer Nodal splines on compact intervals . . . 741--753
Petr N. Vabishchevich Splitting schemes for hyperbolic heat
conduction equation . . . . . . . . . . 755--778
V. Vatchev and
J. Del Castillo Approximation of Fejér partial sums by
interpolating functions . . . . . . . . 779--790
Eddie Wadbro and
Sara Zahedi and
Gunilla Kreiss and
Martin Berggren A uniformly well-conditioned, unfitted
Nitsche method for interface problems 791--820
Axel Ruhe Preface to BIT 53:4 . . . . . . . . . . 821--825
A. Abdulle and
G. Vilmart and
K. C. Zygalakis Mean-square $A$-stable diagonally
drift-implicit integrators of weak
second order for stiff Itô stochastic
differential equations . . . . . . . . . 827--840
A. K. B. Chand and
P. Viswanathan A constructive approach to cubic Hermite
Fractal Interpolation Function and its
constrained aspects . . . . . . . . . . 841--865
R. D'Ambrosio and
E. Hairer and
C. J. Zbinden $G$-symplecticity implies
conjugate-symplecticity of the
underlying one-step method . . . . . . . 867--872
Catterina Dagnino and
Paola Lamberti and
Sara Remogna Numerical integration based on
trivariate $ C^2 $ quartic spline
quasi-interpolants . . . . . . . . . . . 873--896
Érik Martin-Dorel and
Guillaume Melquiond and
Jean-Michel Muller Some issues related to double rounding 897--924
Ralf Hiptmair and
Carlos Jerez-Hanckes and
Christoph Schwab Sparse tensor edge elements . . . . . . 925--939
Tsung-Ming Huang and
Zhongxiao Jia and
Wen-Wei Lin On the convergence of Ritz pairs and
refined Ritz vectors for quadratic
eigenvalue problems . . . . . . . . . . 941--958
Zhongxiao Jia and
Qian Zhang Robust dropping criteria for $F$-norm
minimization based sparse approximate
inverse preconditioning . . . . . . . . 959--985
Shishun Li and
Zhengda Huang Convergence analysis of HSS-multigrid
methods for second-order nonselfadjoint
elliptic problems . . . . . . . . . . . 987--1012
Marie-Laurence Mazure Extended Chebyshev spaces in rationality 1013--1045
Yujie Zhang and
Yangfeng Su A memory-efficient model order reduction
for time-delay systems . . . . . . . . . 1047--1073
Peter Benner and
Miloud Sadkane and
Ahmed Salam Structured matrix computations in
non-Euclidean geometries: algorithms and
applications . . . . . . . . . . . . . . 1--5
Jared L. Aurentz and
Raf Vandebril and
David S. Watkins Fast computation of eigenvalues of
companion, comrade, and related matrices 7--30
Zhaojun Bai and
Ren-Cang Li Minimization principles and computation
for the generalized linear response
eigenvalue problem . . . . . . . . . . . 31--54
Dario A. Bini and
Bruno Iannazzo and
Ben Jeuris and
Raf Vandebril Geometric means of structured matrices 55--83
P. Boito and
Y. Eidelman and
L. Gemignani Implicit $ Q R $ for rank-structured
matrix pencils . . . . . . . . . . . . . 85--111
Marco Caliari and
Peter Kandolf and
Alexander Ostermann Comparison of software for computing the
action of the matrix exponential . . . . 113--128
L. Dykes and
F. Marcellán and
L. Reichel The structure of iterative methods for
symmetric linear discrete ill-posed
problems . . . . . . . . . . . . . . . . 129--145
Hung-Yuan Fan and
Peter Chang-Yi Weng and
Eric King-wah Chu Refining estimates of invariant and
deflating subspaces for large and sparse
matrices and pencils . . . . . . . . . . 147--169
Christian Lubich and
Ivan V. Oseledets A projector-splitting integrator for
dynamical low-rank approximation . . . . 171--188
Alexander Malyshev and
Miloud Sadkane A bisection method for measuring the
distance of a quadratic matrix
polynomial to the quadratic matrix
polynomials that are singular on the
unit circle . . . . . . . . . . . . . . 189--200
Nicola Mastronardi and
Paul Van Dooren An algorithm for solving the indefinite
least squares problem with equality
constraints . . . . . . . . . . . . . . 201--218
Christian Mehl and
Volker Mehrmann and
André C. M. Ran and
Leiba Rodman Eigenvalue perturbation theory of
symplectic, orthogonal, and unitary
matrices under generic structured rank
one perturbations . . . . . . . . . . . 219--255
H. Z. Munthe-Kaas and
G. R. W. Quispel and
A. Zanna Symmetric spaces and Lie triple systems
in numerical analysis of differential
equations . . . . . . . . . . . . . . . 257--282
A. Salam and
E. Al-Aidarous Equivalence between modified symplectic
Gram--Schmidt and Householder $ S R $
algorithms . . . . . . . . . . . . . . . 283--302
Axel Ruhe Preface to BIT 54:2 . . . . . . . . . . 303--304
Andreas Arnold and
Tobias Jahnke On the approximation of high-dimensional
differential equations in the
hierarchical Tucker format . . . . . . . 305--341
A. Barreras and
J. M. Peña Accurate and efficient $ L D U $
decomposition of almost diagonally
dominant $Z$-matrices . . . . . . . . . 343--356
André Bodendiek and
Matthias Bollhöfer Adaptive-order rational Arnoldi-type
methods in computational
electromagnetism . . . . . . . . . . . . 357--380
Melina A. Freitag and
Alastair Spence A new approach for calculating the real
stability radius . . . . . . . . . . . . 381--400
Takashi Goda Construction of scrambled polynomial
lattice rules over $ \mathbb {F}_2 $
with small mean square weighted $
\mathcal {L}_2 $ discrepancy . . . . . . 401--423
Mika Juntunen and
Jeonghun Lee Optimal second order rectangular
elasticity elements with weakly
symmetric stress . . . . . . . . . . . . 425--445
Daniel Kressner and
Michael Steinlechner and
Bart Vandereycken Low-rank tensor completion by Riemannian
optimization . . . . . . . . . . . . . . 447--468
Bishnu P. Lamichhane A finite element method for a biharmonic
equation based on gradient recovery
operators . . . . . . . . . . . . . . . 469--484
Bo Ling and
Yongping Liu Optimal recovery of isotropic classes of
$r$ th differentiable multivariate
functions . . . . . . . . . . . . . . . 485--500
Paolo Novati and
Maria Rosaria Russo A GCV based Arnoldi--Tikhonov
regularization method . . . . . . . . . 501--521
Li Sun and
Ke Chen A new iterative algorithm for mean
curvature-based variational image
denoising . . . . . . . . . . . . . . . 523--553
Yubin Yan and
Kamal Pal and
Neville J. Ford Higher order numerical methods for
solving fractional differential
equations . . . . . . . . . . . . . . . 555--584
Axel Ruhe Preface to 54-3 . . . . . . . . . . . . 585--586
Andreas Asheim A remedy for the failure of the
numerical steepest descent method on a
class of oscillatory integrals . . . . . 587--605
Hao Chen A splitting preconditioner for the
iterative solution of implicit
Runge--Kutta and boundary value methods 607--621
Minghua Chen and
Yantao Wang and
Xiao Cheng and
Weihua Deng Second-order LOD multigrid method for
multidimensional Riesz fractional
diffusion equation . . . . . . . . . . . 623--647
Per Christian Hansen and
James G. Nagy and
Konstantinos Tigkos Rotational image deblurring with sparse
matrices . . . . . . . . . . . . . . . . 649--671
Eskil Hansen and
Tony Stillfjord Implicit Euler and Lie splitting
discretizations of nonlinear parabolic
equations with delay . . . . . . . . . . 673--689
Miklós Hoffmann and
Imre Juhász and
Gyula Károlyi A control point based curve with two
exponential shape parameters . . . . . . 691--710
Rong Huang and
Jianzhou Liu and
Li Zhu Accurate solutions of diagonally
dominant tridiagonal linear systems . . 711--727
Emil Kieri Accelerated convergence for Schrödinger
equations with non-smooth potentials . . 729--748
M. Lamnii and
A. Mazroui and
A. Tijini Raising the approximation order of
multivariate quasi-interpolants . . . . 749--761
J. E. Macías-Díaz On an exact numerical simulation of
solitary-wave solutions of the
Burgers--Huxley equation through
Cardano's method . . . . . . . . . . . . 763--776
Yuto Miyatake An energy-preserving
exponentially-fitted continuous stage
Runge--Kutta method for Hamiltonian
systems . . . . . . . . . . . . . . . . 777--799
C. Perret and
W. P. Petersen A weak second-order split-step method
for numerical simulations of stochastic
differential equations . . . . . . . . . 801--821
Magnus Svärd A note on $ L^\infty $ bounds and
convergence rates of summation-by-parts
schemes . . . . . . . . . . . . . . . . 823--830
Shu-Lin Wu and
Mohammad D. Al-Khaleel Semi-discrete Schwarz waveform
relaxation algorithms for reaction
diffusion equations . . . . . . . . . . 831--866
Axel Ruhe Preface to BIT 54:4 . . . . . . . . . . 867--871
Winfried Auzinger and
Othmar Koch and
Amir Saboor Bagherzadeh Error estimation based on locally
weighted defect for boundary value
problems in second order ordinary
differential equations . . . . . . . . . 873--900
Lehel Banjai and
Maryna Kachanovska Sparsity of Runge--Kutta convolution
weights for the three-dimensional wave
equation . . . . . . . . . . . . . . . . 901--936
Alfonso Bueno-Orovio and
David Kay and
Kevin Burrage Fourier spectral methods for
fractional-in-space reaction-diffusion
equations . . . . . . . . . . . . . . . 937--954
Costanza Conti and
Jean-Louis Merrien and
Lucia Romani Dual Hermite subdivision schemes of de
Rham-type . . . . . . . . . . . . . . . 955--977
Catterina Dagnino and
Sara Remogna and
Paul Sablonni\`ere On the solution of Fredholm integral
equations based on spline
quasi-interpolating projectors . . . . . 979--1008
Nicholas Hurl and
William Layton and
Yong Li and
Catalin Trenchea Stability analysis of the
Crank--Nicolson--Leapfrog method with
the Robert--Asselin--Williams time
filter . . . . . . . . . . . . . . . . . 1009--1021
Jonas Kiessling and
Raúl Tempone Computable error estimates of a finite
difference scheme for option pricing in
exponential Lévy models . . . . . . . . . 1023--1065
Yoshio Komori and
Kevin Burrage A stochastic exponential Euler scheme
for simulation of stiff biochemical
reaction systems . . . . . . . . . . . . 1067--1085
JaEun Ku Supercloseness of the mixed finite
element method for the primary function
on unstructured meshes and its
applications . . . . . . . . . . . . . . 1087--1097
A. Lamnii and
M. Lamnii and
H. Mraoui Cubic spline quasi-interpolants on
Powell--Sabin partitions . . . . . . . . 1099--1118
Yuto Miyatake and
Takayasu Matsuo A general framework for finding energy
dissipative/conservative $ H^1$-Galerkin
schemes and their underlying $ H^1$-weak
forms for nonlinear evolution equations 1119--1154
Andrew Skelton and
Allan R. Willms An algorithm for continuous piecewise
linear bounding of discrete time series
data . . . . . . . . . . . . . . . . . . 1155--1169
Ralf Hiptmair Preface to BIT 55:1 . . . . . . . . . . 1--3
John Fun-Choi Chan and
Peter Monk Time dependent electromagnetic
scattering by a penetrable obstacle . . 5--31
Xavier Claeys and
Ralf Hiptmair and
Elke Spindler A second-kind Galerkin boundary element
method for scattering at composite
objects . . . . . . . . . . . . . . . . 33--57
Monique Dauge and
Richard A. Norton and
Robert Scheichl Regularity for Maxwell eigenproblems in
photonic crystal fibre modelling . . . . 59--80
Sonia Fliss and
Dirk Klindworth and
Kersten Schmidt Robin-to-Robin transparent boundary
conditions for the computation of guided
modes in photonic crystal wave-guides 81--115
M. Ganesh and
S. C. Hawkins An efficient $ \mathcal {O}(N) $
algorithm for computing $ \mathcal
{O}(N^2) $ acoustic wave interactions in
large $N$-obstacle three dimensional
configurations . . . . . . . . . . . . . 117--139
Adrianna Gillman and
Alex H. Barnett and
Per-Gunnar Martinsson A spectrally accurate direct solution
technique for frequency-domain
scattering problems with variable media 141--170
I. G. Graham and
M. Löhndorf and
J. M. Melenk and
E. A. Spence When is the error in the $h$-BEM for
solving the Helmholtz equation bounded
independently of $k$ ? . . . . . . . . . 171--214
Thorsten Hohage and
Lothar Nannen Convergence of infinite element methods
for scalar waveguide problems . . . . . 215--254
Ronald H. W. Hoppe and
Irwin Yousept Adaptive edge element approximation of
$H$ (curl)-elliptic optimal control
problems with control constraints . . . 255--277
E. A. Spence Bounding acoustic layer potentials via
oscillatory integral techniques . . . . 279--318
Mélanie Beck and
Martin J. Gander On the positivity of Poisson integrators
for the Lotka--Volterra equations . . . 319--340
Matthias Bolten and
Marco Donatelli and
Thomas Huckle and
Christos Kravvaritis Generalized grid transfer operators for
multigrid methods applied on Toeplitz
matrices . . . . . . . . . . . . . . . . 341--366
James Bremer and
Adrianna Gillman and
Per-Gunnar Martinsson A high-order accurate accelerated direct
solver for acoustic scattering from
surfaces . . . . . . . . . . . . . . . . 367--397
Nathan Collier and
Abdul-Lateef Haji-Ali and
Fabio Nobile and
Erik von Schwerin and
Raúl Tempone A continuation multilevel Monte Carlo
algorithm . . . . . . . . . . . . . . . 399--432
Laurent Gosse A well-balanced and
asymptotic-preserving scheme for the
one-dimensional linear Dirac equation 433--458
R. Hiptmair and
A. Paganini and
S. Sargheini Comparison of approximate shape
gradients . . . . . . . . . . . . . . . 459--485
Cassio M. Oishi and
Jin Y. Yuan and
Jose A. Cuminato and
David E. Stewart Stability analysis of Crank--Nicolson
and Euler schemes for time-dependent
diffusion equations . . . . . . . . . . 487--513
M. J. Senosiain and
A. Tocino A review on numerical schemes for
solving a linear stochastic oscillator 515--529
Gustaf Söderlind and
Laurent Jay and
Manuel Calvo Stiffness 1952--2012: Sixty years in
search of a definition . . . . . . . . . 531--558
Hendrik Speleers Inner products of box splines and their
derivatives . . . . . . . . . . . . . . 559--567
Zhe Sun and
Lei Wu and
Zhe Liu A damped semismooth Newton method for
the Brugnano--Casulli piecewise linear
system . . . . . . . . . . . . . . . . . 569--589
Thomas Trogdon On the application of GMRES to
oscillatory singular integral equations 591--620
Åke Björck and
Lars Eldén Axel Ruhe 1942--2015 . . . . . . . . . . 621--623
Gerard Awanou Spline element method for
Monge--Amp\`ere equations . . . . . . . 625--646
Igor Boglaev Monotone iterative ADI method for
semilinear parabolic problems . . . . . 647--676
Nela Bosner Efficient algorithm for simultaneous
reduction to the
$m$-Hessenberg--triangular--triangular
form . . . . . . . . . . . . . . . . . . 677--703
David Cohen and
Ludwig Gauckler and
Ernst Hairer and
Christian Lubich Long-term analysis of numerical
integrators for oscillatory Hamiltonian
systems under minimal non-resonance
conditions . . . . . . . . . . . . . . . 705--732
Michelle L. Ghrist and
Bengt Fornberg and
Jonah A. Reeger Stability ordinates of Adams
predictor-corrector methods . . . . . . 733--750
Davide Lettieri and
Carla Manni and
Francesca Pelosi Shape preserving $ H C^2 $ interpolatory
subdivision . . . . . . . . . . . . . . 751--779
David Levin Between moving least-squares and moving
least-$ \ell_1 $ . . . . . . . . . . . . 781--796
Driss Sbibih and
Abdelhafid Serghini and
Ahmed Tijini and
Ahmed Zidna Superconvergent $ C^1 $ cubic spline
quasi-interpolants on Powell--Sabin
partitions . . . . . . . . . . . . . . . 797--821
H. V. Smith Convergence properties of a quadrature
formula of Clenshaw--Curtis type for the
Gegenbauer weight function . . . . . . . 823--842
Robert Speck and
Daniel Ruprecht and
Matthew Emmett and
Michael Minion A multi-level spectral deferred
correction method . . . . . . . . . . . 843--867
Lei-Hong Zhang and
Wen-Wei Lin and
Ren-Cang Li Backward perturbation analysis and
residual-based error bounds for the
linear response eigenvalue problem . . . 869--896
Lars Eldén Preface to BIT 55:4 . . . . . . . . . . 897--899
Mahmoud Behroozifar Spectral method for solving high order
nonlinear boundary value problems via
operational matrices . . . . . . . . . . 901--925
John C. Butcher and
Gulshad Imran Order conditions for $G$-symplectic
methods . . . . . . . . . . . . . . . . 927--948
Stefano De Marchi and
Gabriele Santin Fast computation of orthonormal basis
for RBF spaces through Krylov space
methods . . . . . . . . . . . . . . . . 949--966
Weihua Deng and
Jan S. Hesthaven Local discontinuous Galerkin methods for
fractional ordinary differential
equations . . . . . . . . . . . . . . . 967--985
Luca Dieci and
Luciano Lopez One-sided direct event location
techniques in the numerical solution of
discontinuous differential systems . . . 987--1003
Bogdan Dumitrescu On the relation between the randomized
extended Kaczmarz algorithm and
coordinate descent . . . . . . . . . . . 1005--1015
J. B. Collins and
D. Estep and
S. Tavener A posteriori error analysis for finite
element methods with projection
operators as applied to explicit time
integration techniques . . . . . . . . . 1017--1042
Johannes Czekansky and
Tomas Sauer The multivariate Horner scheme revisited 1043--1056
Marie Kopec Weak backward error analysis for
Langevin process . . . . . . . . . . . . 1057--1103
Natalia Kopteva and
Martin Stynes An efficient collocation method for a
Caputo two-point boundary value problem 1105--1123
Stefan Pauli and
Robert Nicholas Gantner and
Peter Arbenz Multilevel Monte Carlo for the
Feynman--Kac formula for the Laplace
equation . . . . . . . . . . . . . . . . 1125--1143
Lothar Reichel and
Xuebo Yu Tikhonov regularization via flexible
Arnoldi reduction . . . . . . . . . . . 1145--1168
H.-G. Roos and
M. Schopf An optimal a priori error estimate in
the maximum norm for the Il'in scheme in
$2$D . . . . . . . . . . . . . . . . . . 1169--1186
Yuan-Ming Wang A compact finite difference method for
solving a class of time fractional
convection-subdiffusion equations . . . 1187--1217
Martin Weiser Faster SDC convergence on
non-equidistant grids by DIRK sweeps . . 1219--1241
Hehu Xie A type of multi-level correction scheme
for eigenvalue problems by nonconforming
finite element methods . . . . . . . . . 1243--1266
Rachid Ait-Haddou Polynomial degree reduction in the
discrete $ L_2 $-norm equals best
Euclidean approximation of $h$-Bézier
coefficients . . . . . . . . . . . . . . 1--14
Peter Alfeld and
Tatyana Sorokina Linear differential operators on
bivariate spline spaces and spline
vector fields . . . . . . . . . . . . . 15--32
Gleb Beliakov and
Yuri Matiyasevich A parallel algorithm for calculation of
determinants and minors using arbitrary
precision arithmetic . . . . . . . . . . 33--50
Pratibhamoy Das and
Volker Mehrmann Numerical solution of singularly
perturbed convection-diffusion-reaction
problems with two small parameters . . . 51--76
Jurjen Duintjer Tebbens and
Gérard Meurant On the convergence of Q-OR and Q-MR
Krylov methods for solving nonsymmetric
linear systems . . . . . . . . . . . . . 77--97
Jan Giesselmann and
Tristan Pryer Reduced relative entropy techniques for
a priori analysis of multiphase problems
in elastodynamics . . . . . . . . . . . 99--127
N. S. Hoang and
R. B. Sidje Functionally fitted Runge--Kutta--Nyström
methods . . . . . . . . . . . . . . . . 129--150
Gunther Leobacher and
Michaela Szölgyenyi A numerical method for SDEs with
discontinuous drift . . . . . . . . . . 151--162
O. Mali and
S. Repin Estimates of the solution set for a
class of elliptic problems with
incompletely known data . . . . . . . . 163--188
Alvaro Moraes and
Raúl Tempone and
Pedro Vilanova Multilevel hybrid Chernoff tau-leap . . 189--239
Bor Plestenjak Numerical methods for nonlinear
two-parameter eigenvalue problems . . . 241--262
Nils Henrik Risebro and
Christoph Schwab and
Franziska Weber Multilevel Monte Carlo front-tracking
for random scalar conservation laws . . 263--292
Siegfried M. Rump and
Florian Bünger and
Claude-Pierre Jeannerod Improved error bounds for floating-point
products and Horner's scheme . . . . . . 293--307
Siegfried M. Rump and
Marko Lange On the definition of unit roundoff . . . 309--317
Lena Scholz and
Andreas Steinbrecher Regularization of DAEs based on the
Signature method . . . . . . . . . . . . 319--340
Tor Sòrevik and
Morten A. Nome Trigonometric interpolation on lattice
grids . . . . . . . . . . . . . . . . . 341--356
M. M. Spalevi\'c and
A. S. Cvetkovi\'c Estimating the error of Gaussian
quadratures with simple and multiple
nodes by using their extensions with
multiple nodes . . . . . . . . . . . . . 357--374
Rüdiger Weiner and
Jürgen Bruder Exponential Krylov peer integrators . . 375--393
Zhong-Zhi Bai and
Lothar Reichel Editorial Preface: ``Advances in
numerical algebra and scientific
computing'' . . . . . . . . . . . . . . 395--397
Zhong-Zhi Bai and
Min Tao Rigorous convergence analysis of
alternating variable minimization with
multiplier methods for quadratic
programming problems with equality
constraints . . . . . . . . . . . . . . 399--422
Yang Cao and
Zhi-Ru Ren and
Quan Shi A simplified HSS preconditioner for
generalized saddle point problems . . . 423--439
Martin J. Gander and
Qiang Niu and
Yingxiang Xu Analysis of a new dimension-wise
splitting iteration with selective
relaxation for saddle point problems . . 441--465
Guangxin Huang and
Lothar Reichel and
Feng Yin Projected nonstationary iterated
Tikhonov regularization . . . . . . . . 467--487
Yi-Fen Ke and
Chang-Feng Ma Spectrum analysis of a more general
augmentation block preconditioner for
generalized saddle point matrices . . . 489--500
Jing Li and
Nai-Min Zhang A triple-parameter modified SSOR method
for solving singular saddle point
problems . . . . . . . . . . . . . . . . 501--521
Zhao-Zheng Liang and
Guo-Feng Zhang Variants of the accelerated
parameterized inexact Uzawa method for
saddle-point problems . . . . . . . . . 523--542
Guo-Yan Meng and
Rui-Ping Wen and
Qing-Shan Zhao The generalized HSS method with a
flexible shift-parameter for
non-Hermitian positive definite linear
systems . . . . . . . . . . . . . . . . 543--556
Patrick Njue Njeru and
Xue-Ping Guo Accelerated SOR-like method for
augmented linear systems . . . . . . . . 557--571
Alison Ramage and
André M. Sonnet Computational fluid dynamics for nematic
liquid crystals . . . . . . . . . . . . 573--586
Juli Zhang and
Chuanqing Gu A variant of the deteriorated PSS
preconditioner for nonsymmetric saddle
point problems . . . . . . . . . . . . . 587--604
Alina Girod and
Thorsten Hüls Nonautonomous systems with transversal
homoclinic structures under
discretization . . . . . . . . . . . . . 605--631
Phi Ha and
Volker Mehrmann Analysis and numerical solution of
linear delay differential-algebraic
equations . . . . . . . . . . . . . . . 633--657
Zhongyi Huang and
Ye Li Monotone finite point method for
non-equilibrium radiation diffusion
equations . . . . . . . . . . . . . . . 659--679
Cristina La Cognata and
Jan Nordström Well-posedness, stability and
conservation for a discontinuous
interface problem . . . . . . . . . . . 681--704
Sotirios E. Notaris The error norm of Clenshaw--Curtis and
related quadrature formulae . . . . . . 705--728
Katsuhisa Ozaki and
Florian Bünger and
Takeshi Ogita Simple floating-point filters for the
two-dimensional orientation problem . . 729--749
Davide Palitta and
Valeria Simoncini Matrix-equation-based strategies for
convection-diffusion equations . . . . . 751--776
Lena Scholz and
Andreas Steinbrecher Structural-algebraic regularization for
coupled systems of DAEs . . . . . . . . 777--804
Per Christian Hansen and
Lars Eldén Obituary: Jens Hugger 1958--2016 . . . . 805--805
M. H. Annaby and
R. M. Asharabi Bounds for truncation and perturbation
errors of nonuniform sampling series . . 807--832
François Cuvelier and
Caroline Japhet and
Gilles Scarella An efficient way to assemble finite
element matrices in vector languages . . 833--864
Andreas Frommer and
Marcel Schweitzer Error bounds and estimates for Krylov
subspace approximations of Stieltjes
matrix functions . . . . . . . . . . . . 865--892
Silvia Gazzola and
Paolo Novati Inheritance of the discrete Picard
condition in Krylov subspace methods . . 893--918
Silvia Gazzola and
Lothar Reichel A new framework for multi-parameter
regularization . . . . . . . . . . . . . 919--949
Tomas Lundquist and
Jan Nordström Efficient fully discrete
summation-by-parts schemes for unsteady
flow problems . . . . . . . . . . . . . 951--966
L. Marcinkowski and
T. Rahman and
A. Loneland and
J. Valdman Additive Schwarz preconditioner for the
finite volume element discretization of
symmetric elliptic problems . . . . . . 967--993
Andreas Müller A note on the motion representation and
configuration update in time stepping
schemes for the constrained rigid body 995--1015
Andreas Müller Erratum to: A note on the motion
representation and configuration update
in time stepping schemes for the
constrained rigid body . . . . . . . . . 1017--1018
Daniel Potts and
Manfred Tasche Reconstruction of sparse Legendre and
Gegenbauer expansions . . . . . . . . . 1019--1043
Lothar Reichel and
Miodrag M. Spalevi\'c and
Tunan Tang Generalized averaged Gauss quadrature
rules for the approximation of matrix
functionals . . . . . . . . . . . . . . 1045--1067
Mauro A. Rincon and
Juliana C. Xavier and
Daniel G. Alfaro Vigo Analysis and computation of a nonlinear
Korteweg--de Vries system . . . . . . . 1069--1099
Tony Shardlow and
Phillip Taylor On the pathwise approximation of
stochastic differential equations . . . 1101--1129
Lijin Wang and
Jialin Hong and
Liying Sun Modified equations for weakly convergent
stochastic symplectic schemes via their
generating functions . . . . . . . . . . 1131--1162
Lars Eldén Preface to BIT 56:4 . . . . . . . . . . 1163--1164
Cesare Bracco and
Carlotta Giannelli and
Francesca Mazzia Bivariate hierarchical Hermite spline
quasi-interpolation . . . . . . . . . . 1165--1188
J. C. Butcher and
A. T. Hill and
T. J. T. Norton Symmetric general linear methods . . . . 1189--1212
Carmen Campos and
Jose E. Roman Restarted $Q$-Arnoldi-type methods
exploiting symmetry in quadratic
eigenvalue problems . . . . . . . . . . 1213--1236
Lucas Chesnel and
Xavier Claeys A numerical approach for the Poisson
equation in a planar domain with a small
inclusion . . . . . . . . . . . . . . . 1237--1256
Jan Groselj A normalized representation of super
splines of arbitrary degree on
Powell--Sabin triangulations . . . . . . 1257--1280
Apostolos Hadjidimos The saddle point problem and the
Manteuffel algorithm . . . . . . . . . . 1281--1302
Eskil Hansen and
Alexander Ostermann High-order splitting schemes for
semilinear evolution equations . . . . . 1303--1316
H. Kojima Invariants preserving schemes based on
explicit Runge--Kutta methods . . . . . 1317--1337
Hui Liang and
Hermann Brunner On the convergence of collocation
solutions in continuous piecewise
polynomial spaces for Volterra integral
equations . . . . . . . . . . . . . . . 1339--1367
Koya Sakakibara Analysis of the dipole simulation method
for two-dimensional Dirichlet problems
in Jordan regions with analytic
boundaries . . . . . . . . . . . . . . . 1369--1400
Victor Shcherbakov Radial basis function partition of unity
operator splitting method for pricing
multi-asset American options . . . . . . 1401--1423
Sara Soltani and
Misha E. Kilmer and
Per Christian Hansen A tensor-based dictionary learning
approach to tomographic image
reconstruction . . . . . . . . . . . . . 1425--1454
Martin Stynes and
Eugene O'Riordan and
José Luis Gracia Necessary conditions for convergence of
difference schemes for
fractional-derivative two-point boundary
value problems . . . . . . . . . . . . . 1455--1477
Magnus Svärd Entropy solutions of the compressible
Euler equations . . . . . . . . . . . . 1479--1496
Weien Zhou and
Liying Zhang and
Jialin Hong and
Songhe Song Projection methods for stochastic
differential equations with conserved
quantities . . . . . . . . . . . . . . . 1497--1518
Lars Eldén Preface . . . . . . . . . . . . . . . . 1--2
Chafik Allouch and
Driss Sbibih and
Mohamed Tahrichi Superconvergent Nyström method for
Urysohn integral equations . . . . . . . 3--20
Adam Andersson and
Raphael Kruse Mean-square convergence of the
BDF2-Maruyama and backward Euler schemes
for SDE satisfying a global monotonicity
condition . . . . . . . . . . . . . . . 21--53
Winfried Auzinger and
Harald Hofstätter and
David Ketcheson Practical splitting methods for the
adaptive integration of nonlinear
evolution equations. Part I:
Construction of optimized schemes and
pairs of schemes . . . . . . . . . . . . 55--74
Xiao Shan Chen On estimating the separation of two
periodic matrix sequences . . . . . . . 75--91
G. M. Coclite and
J. Ridder and
N. H. Risebro A convergent finite difference scheme
for the Ostrovsky--Hunter equation on a
bounded domain . . . . . . . . . . . . . 93--122
H. de la Cruz and
J. C. Jimenez and
J. P. Zubelli Locally Linearized methods for the
simulation of stochastic oscillators
driven by random forces . . . . . . . . 123--151
Kristian Debrabant and
Anne Kværnò Cheap arbitrary high order methods for
single integrand SDEs . . . . . . . . . 153--168
Weiyang Ding and
Liqun Qi and
Yimin Wei Inheritance properties and
sum-of-squares decomposition of Hankel
tensors: theory and algorithms . . . . . 169--190
Guergana Petrova Generalized Gauss--Radau and
Gauss--Lobatto formulas with Jacobi
weight functions . . . . . . . . . . . . 191--206
Jason Quinn Parameter-uniform numerical methods for
general nonlinear singularly perturbed
reaction diffusion problems having a
stable reduced solution . . . . . . . . 207--240
Xiao Tang and
Aiguo Xiao Efficient weak second-order stochastic
Runge--Kutta methods for Itô stochastic
differential equations . . . . . . . . . 241--260
A. Arrarás and
K. J. in 't Hout and
W. Hundsdorfer and
L. Portero Modified Douglas splitting methods for
reaction-diffusion equations . . . . . . 261--285
Zhong-Zhi Bai and
Michele Benzi Regularized HSS iteration methods for
saddle-point linear systems . . . . . . 287--311
John C. Butcher and
Gulshad Imran and
Helmut Podhaisky A $G$-symplectic method with order $6$ 313--328
Catterina Dagnino and
Sara Remogna Quasi-interpolation based on the
ZP-element for the numerical solution of
integral equations on surfaces in $
\mathbb {R}^3 $ . . . . . . . . . . . . 329--350
G. Huang and
A. Lanza and
S. Morigi and
L. Reichel and
F. Sgallari Majorization-minimization generalized
Krylov subspace methods for $ \ell_p$-$
\ell_q$ optimization applied to image
restoration . . . . . . . . . . . . . . 351--378
Hao Ji and
Yaohang Li A breakdown-free block conjugate
gradient method . . . . . . . . . . . . 379--403
Kent-André Mardal and
Bjòrn Fredrik Nielsen and
Magne Nordaas Robust preconditioners for
PDE-constrained optimization with
limited observations . . . . . . . . . . 405--431
Ross McKenzie and
John Pryce Structural analysis based dummy
derivative selection for differential
algebraic equations . . . . . . . . . . 433--462
Kaspar Nipp and
Daniel Stoffer Invariant curves for the discretised van
der Pol equation . . . . . . . . . . . . 463--497
Rosemary A. Renaut and
Michael Horst and
Yang Wang and
Douglas Cochran Efficient estimation of regularization
parameters via downsampling and the
singular value expansion . . . . . . . . 499--529
Hermann Schichl and
Ferenc Domes and
Tiago Montanher and
Kevin Kofler Interval unions . . . . . . . . . . . . 531--556
Xiaojie Wang and
Ruisheng Qi and
Fengze Jiang Sharp mean-square regularity results for
SPDEs with fractional noise and optimal
convergence rates for the numerical
approximations . . . . . . . . . . . . . 557--585
Chaoxia Yang Linearly implicit BDF methods for
nonlinear parabolic interface problems 587--606
Lars Eldén Preface: Gunilla Kreiss new
Editor-in-Chief . . . . . . . . . . . . 607--607
Miloud Sadkane and
Roger B. Sidje An alternating maximization method for
approximating the hump of the matrix
exponential . . . . . . . . . . . . . . 609--628
Helle Hallik and
Peeter Oja Quadratic/linear rational spline
histopolation . . . . . . . . . . . . . 629--648
Xiaofei Zhao Uniformly accurate multiscale time
integrators for second order oscillatory
differential equations with large
initial data . . . . . . . . . . . . . . 649--683
S. Yeganeh and
R. Mokhtari and
J. S. Hesthaven Space-dependent source determination in
a time-fractional diffusion equation
using a local discontinuous Galerkin
method . . . . . . . . . . . . . . . . . 685--707
Xingjun Luo and
Chunmei Zeng and
Suhang Yang and
Rong Zhang Multiscale collocation methods for
ill-posed integral equations with a
modified posteriori parameter selection 709--730
Guang-Da Hu and
Taketomo Mitsui Delay-dependent stability of numerical
methods for delay differential systems
of neutral type . . . . . . . . . . . . 731--752
Ludwig Gauckler and
Harry Yserentant Structure-preserving discretization of
the chemical master equation . . . . . . 753--770
Sebastian Franz Convergence of local projection
stabilisation finite element methods for
convection-diffusion problems on
layer-adapted meshes . . . . . . . . . . 771--786
Axel Målqvist and
Tony Stillfjord Finite element convergence analysis for
the thermoviscoelastic Joule heating
problem . . . . . . . . . . . . . . . . 787--810
Christian Mehl and
Volker Mehrmann and
Punit Sharma Stability radii for real linear
Hamiltonian systems with perturbed
dissipation . . . . . . . . . . . . . . 811--843
Guangning Tan and
Nedialko S. Nedialkov and
John D. Pryce Conversion methods for improving
structural analysis of
differential--algebraic equation systems 845--865
Georg Muntingh Symbols and exact regularity of
symmetric pseudo-splines of any arity 867--900
Tiago Montanher and
Ferenc Domes and
Hermann Schichl Using interval unions to solve linear
systems of equations with uncertainties 901--926
Marko Lange and
Siegfried M. Rump Error estimates for the summation of
real numbers with application to
floating-point summation . . . . . . . . 927--941
Jing Gao and
Arieh Iserles A generalization of
Filon--Clenshaw--Curtis quadrature for
highly oscillatory integrals . . . . . . 943--961
Annika Lang and
Andreas Petersson and
Andreas Thalhammer Mean-square stability analysis of
approximations of stochastic
differential equations in infinite
dimensions . . . . . . . . . . . . . . . 963--990
Tomoya Kemmochi Energy dissipative numerical schemes for
gradient flows of planar curves . . . . 991--1017
Caterina Fenu and
Lothar Reichel and
Giuseppe Rodriguez GCV for Tikhonov regularization by
partial SVD . . . . . . . . . . . . . . 1019--1039
Davoud Mirzaei Direct approximation on spheres using
generalized moving least squares . . . . 1041--1063
Huiqing Xie A new method for eigenvector derivatives
of a quadratic eigenvalue problem . . . 1065--1082
Ching-Sung Liu and
Che-Rung Lee On the structured backward error of
inexact Arnoldi methods for
(skew)-Hermitian and (skew)-symmetric
eigenvalue problems . . . . . . . . . . 1083--1108
Iwona Skalna and
Milan Hladík A new method for computing a
$p$-solution to parametric interval
linear systems with affine-linear and
nonlinear dependencies . . . . . . . . . 1109--1136
Yuji Nakatsukasa Accuracy of singular vectors obtained by
projection-based SVD methods . . . . . . 1137--1152
Jana Burkotová and
Irena Rachunková and
Ewa B. Weinmüller On singular BVPs with nonsmooth data:
convergence of the collocation schemes 1153--1184
Patrick Zulian and
Teseo Schneider and
Kai Hormann and
Rolf Krause Parametric finite elements with
bijective mappings . . . . . . . . . . . 1185--1203
Gunilla Kreiss and
Lars Eldén Preface . . . . . . . . . . . . . . . . 1--3
Mohammad Asadzadeh and
Christoffer Standar A posteriori error estimates for the one
and one-half Dimensional Relativistic
Vlasov--Maxwell system . . . . . . . . . 5--26
J. M. Carnicer and
C. Godés Multivariate polynomial interpolation
using even and odd polynomials . . . . . 27--49
M. Irene Falcão and
Fernando Miranda and
Ricardo Severino Evaluation schemes in the ring of
quaternionic polynomials . . . . . . . . 51--72
Liviu I. Ignat and
Alejandro Pozo A splitting method for the augmented
Burgers equation . . . . . . . . . . . . 73--102
Rakesh Kumar Adaptive semi-discrete formulation of
BSQI--WENO scheme for the modified
Burgers' equation . . . . . . . . . . . 103--132
Giampaolo Mele and
Elias Jarlebring On restarting the tensor infinite
Arnoldi method . . . . . . . . . . . . . 133--162
Xinyan Niu and
Jianbo Cui and
Jialin Hong and
Zhihui Liu Explicit pseudo-symplectic methods for
stochastic Hamiltonian systems . . . . . 163--178
Sotirios E. Notaris Anti-Gaussian quadrature formulae based
on the zeros of Stieltjes polynomials 179--198
Tomoaki Okayama Theoretical analysis of Sinc-collocation
methods and Sinc--Nyström methods for
systems of initial value problems . . . 199--220
Jin Zhang and
Xiaowei Liu Pointwise estimates of SDFEM on Shishkin
triangular meshes for problems with
exponential layers . . . . . . . . . . . 221--246
Nils Henrik Risebro and
Christoph Schwab and
Franziska Weber Correction to: Multilevel Monte Carlo
front-tracking for random scalar
conservation laws . . . . . . . . . . . 247--255
Sverre Anmarkrud and
Kristian Debrabant and
Anne Kværnò General order conditions for stochastic
partitioned Runge--Kutta methods . . . . 257--280
Dario Fasino and
Antonio Fazzi A Gauss--Newton iteration for Total
Least Squares problems . . . . . . . . . 281--299
Ahmet Guzel and
William Layton Time filters increase accuracy of the
fully implicit method . . . . . . . . . 301--315
Tomasz Hrycak and
Sebastian Schmutzhard Evaluation of Chebyshev polynomials by a
three-term recurrence in floating-point
arithmetic . . . . . . . . . . . . . . . 317--330
Marcel Klinge and
Rüdiger Weiner and
Helmut Podhaisky Optimally zero stable explicit peer
methods with variable nodes . . . . . . 331--345
Jeonghun J. Lee Robust three-field finite element
methods for Biot's consolidation model
in poroelasticity . . . . . . . . . . . 347--372
Lothar Nannen and
Markus Wess Computing scattering resonances using
perfectly matched layers with frequency
dependent scaling functions . . . . . . 373--395
Terence J. T. Norton Composite symmetric general linear
methods (COSY-GLMs) for the long-time
integration of reversible Hamiltonian
systems . . . . . . . . . . . . . . . . 397--421
Abtin Rahimian and
Alex Barnett and
Denis Zorin Ubiquitous evaluation of layer
potentials using Quadrature by
Kernel--Independent Expansion . . . . . 423--456
Jeremy Schmitt and
Tatiana Shingel and
Melvin Leok Lagrangian and Hamiltonian Taylor
variational integrators . . . . . . . . 457--488
Pavel Strachota and
Michal Benes Error estimate of the finite volume
scheme for the Allen--Cahn equation . . 489--507
Markus Wahlsten and
Jan Nordström The effect of uncertain geometries on
advection--diffusion of scalar
quantities . . . . . . . . . . . . . . . 509--529
Catterina Dagnino and
Sara Remogna Erratum to: Quasi-interpolation based on
the ZP-element for the numerical
solution of integral equations on
surfaces in $ \mathbb {R}^3 $ . . . . . 531--531
M. Ahmadinia and
Z. Safari and
S. Fouladi Analysis of local discontinuous Galerkin
method for time-space fractional
convection-diffusion equations . . . . . 533--554
A. H. Bentbib and
M. El Guide and
K. Jbilou and
E. Onunwor and
L. Reichel Solution methods for linear discrete
ill-posed problems for color image
restoration . . . . . . . . . . . . . . 555--576
A. H. Bentbib and
M. El Guide and
K. Jbilou and
E. Onunwor and
L. Reichel Correction to: Solution methods for
linear discrete ill-posed problems for
color image restoration . . . . . . . . 577--578
Alexander Bihlo and
Scott MacLachlan Well-balanced mesh-based and meshless
schemes for the shallow-water equations 579--598
Yanmei Chen and
Xiaofei Peng and
Wen Li Relative perturbation bounds for
eigenpairs of diagonalizable matrices 599--612
Allal Guessab and
Boris Semisalov Numerical integration using integrals
over hyperplane sections of simplices in
a triangulation of a polytope . . . . . 613--660
Chaobao Huang and
Martin Stynes and
Na An Optimal $ L^\infty (L^2) $ error
analysis of a direct discontinuous
Galerkin method for a time-fractional
reaction--diffusion problem . . . . . . 661--690
Stefan Kopecz and
Andreas Meister Unconditionally positive and
conservative third order modified
Patankar--Runge--Kutta discretizations
of production-destruction systems . . . 691--728
Xue-Lei Lin and
Michael K. Ng and
Hai-Wei Sun Efficient preconditioner of one-sided
space fractional diffusion equation . . 729--748
Andrew J. Steyer and
Erik S. Van Vleck A Lyapunov and Sacker--Sell spectral
stability theory for one-step methods 749--781
Pengde Wang and
Chengming Huang An efficient fourth-order in space
difference scheme for the nonlinear
fractional Ginzburg--Landau equation . . 783--805
Shuai Zhu and
Shilie Weng A parallel spectral deferred correction
method for first-order evolution
problems . . . . . . . . . . . . . . . . 807--834
Hessah Alqahtani and
Lothar Reichel Multiple orthogonal polynomials applied
to matrix function evaluation . . . . . 835--849
Tracy Babb and
Adrianna Gillman and
Sijia Hao and
Per-Gunnar Martinsson An accelerated Poisson solver based on
multidomain spectral discretization . . 851--879
David Bolin and
Kristin Kirchner and
Mihály Kovács Weak convergence of Galerkin
approximations for fractional elliptic
stochastic PDEs with spatial white noise 881--906
Marco Caliari and
Peter Kandolf and
Franco Zivcovich Backward error analysis of polynomial
approximations for computing the action
of the matrix exponential . . . . . . . 907--935
Sven-Erik Ekström and
Isabella Furci and
Stefano Serra-Capizzano Exact formulae and matrix-less
eigensolvers for block banded symmetric
Toeplitz matrices . . . . . . . . . . . 937--968
Ernst Hairer and
Christian Lubich Energy behaviour of the Boris method for
charged-particle dynamics . . . . . . . 969--979
Behnam Hashemi and
Yuji Nakatsukasa On the spectral problem for trivariate
functions . . . . . . . . . . . . . . . 981--1008
Darryl D. Holm and
Tomasz M. Tyranowski Stochastic discrete Hamiltonian
variational integrators . . . . . . . . 1009--1048
Peter Kunkel and
Volker Mehrmann Regular solutions of DAE hybrid systems
and regularization techniques . . . . . 1049--1077
Dirk A. Lorenz and
Sean Rose and
Frank Schöpfer The randomized Kaczmarz method with
mismatched adjoint . . . . . . . . . . . 1079--1098
Gabriel Oksa and
Yusaku Yamamoto and
Martin Becka and
Marián Vajtersic Asymptotic quadratic convergence of the
parallel block-Jacobi EVD algorithm with
dynamic ordering for Hermitian matrices 1099--1123
Gustaf Söderlind and
Imre Fekete and
István Faragó On the zero-stability of multistep
methods on smooth nonuniform grids . . . 1125--1143
Zhong-Zhi Bai and
Kang-Ya Lu On banded $M$-splitting iteration
methods for solving discretized spatial
fractional diffusion equations . . . . . 1--33
Annie Cuyt and
Oliver Salazar Celis Multivariate data fitting with error
control . . . . . . . . . . . . . . . . 35--55
Timo Eirola and
Antti Koskela Krylov integrators for Hamiltonian
systems . . . . . . . . . . . . . . . . 57--76
Ping Guo and
Chong-Jun Li Razumikhin-type technique on stability
of exact and numerical solutions for the
nonlinear stochastic pantograph
differential equations . . . . . . . . . 77--96
Tom Gustafsson and
Rolf Stenberg and
Juha Videman A stabilised finite element method for
the plate obstacle problem . . . . . . . 97--124
Marko Huhtanen and
Vesa Kotila Optimal quotients for solving large
eigenvalue problems . . . . . . . . . . 125--154
Hassan Majidian Stable application of
Filon--Clenshaw--Curtis rules to
singular oscillatory integrals by
exponential transformations . . . . . . 155--181
Samaneh Qasemi and
Davood Rostamy and
Nazdar Abdollahi The time-fractional diffusion inverse
problem subject to an extra measurement
by a local discontinuous Galerkin method 183--212
Shun Sato Stability and convergence of a
conservative finite difference scheme
for the modified Hunter--Saxton equation 213--241
Fazlollah Soleymani Pricing multi-asset option problems: a
Chebyshev pseudo-spectral method . . . . 243--270
Min Wang and
Yangfeng Su A further analysis of backward error in
polynomial deflation . . . . . . . . . . 271--297
Ai-Li Yang and
Yang Cao and
Yu-Jiang Wu Minimum residual Hermitian and
skew-Hermitian splitting iteration
method for non-Hermitian positive
definite linear systems . . . . . . . . 299--319
Owe Axelsson and
Davod Khojasteh Salkuyeh A new version of a preconditioning
method for certain two-by-two block
matrices with square blocks . . . . . . 321--342
João R. Cardoso and
Amir Sadeghi Computation of matrix gamma function . . 343--370
J. M. Carnicer and
Y. Khiar and
J. M. Peña Central orderings for the Newton
interpolation formula . . . . . . . . . 371--386
Jamie Haddock and
Deanna Needell On Motzkin's method for inconsistent
linear systems . . . . . . . . . . . . . 387--401
Tomasz Hrycak and
Sebastian Schmutzhard Accurate evaluation of Chebyshev
polynomials in floating-point arithmetic 403--416
Masoumeh Javanbakht and
Tomas Sauer Numerical computation of $H$-bases . . . 417--442
Roland Maier and
Daniel Peterseim Explicit computational wave propagation
in micro-heterogeneous media . . . . . . 443--462
M. Mazza and
J. Pestana Spectral properties of flipped Toeplitz
matrices and related preconditioning . . 463--482
J. I. Montijano and
H. Podhaisky and
L. Rández and
M. Calvo A family of $L$-stable singly implicit
peer methods for solving stiff IVPs . . 483--502
Evgenija D. Popova Rank one interval enclosure of the
parametric united solution set . . . . . 503--521
Z. Ramezani and
F. Toutounian Extended and rational Hessenberg methods
for the evaluation of matrix functions 523--545
Hendrik Ranocha Mimetic properties of difference
operators: product and chain rules as
for functions of bounded variation and
entropy stability of second derivatives 547--563
Kensuke Aihara and
Ryosuke Komeyama and
Emiko Ishiwata Variants of residual smoothing with a
small residual gap . . . . . . . . . . . 565--584
Rachid Ait-Haddou New stability results for explicit
Runge--Kutta methods . . . . . . . . . . 585--612
Cristina Anton Weak backward error analysis for
stochastic Hamiltonian Systems . . . . . 613--646
Dirk Blömker and
Minoo Kamrani Numerically computable a
posteriori-bounds for the stochastic
Allen--Cahn equation . . . . . . . . . . 647--673
Chun-Yueh Chiang and
Matthew M. Lin and
Xiao-Qing Jin Riemannian inexact Newton method for
structured inverse eigenvalue and
singular value problems . . . . . . . . 675--694
Huai-An Diao and
Qing-Le Meng Structured generalized eigenvalue
condition numbers for parameterized
quasiseparable matrices . . . . . . . . 695--720
Silvia Gazzola and
Malena Sabaté Landman Flexible GMRES for total variation
regularization . . . . . . . . . . . . . 721--746
Libo Li and
Dai Taguchi On a positivity preserving numerical
scheme for jump-extended CIR process:
the alpha-stable case . . . . . . . . . 747--774
J. Ridder and
A. M. Ruf A convergent finite difference scheme
for the Ostrovsky--Hunter equation with
Dirichlet boundary conditions . . . . . 775--796
Shixin Xu and
Minxin Chen and
Chun Liu and
Ran Zhang and
Xingye Yue Behavior of different numerical schemes
for random genetic drift . . . . . . . . 797--821
Tobias Breiten and
Emil Ringh Residual-based iterations for the
generalized Lyapunov equation . . . . . 823--852
Jie Du and
Yang Yang and
Eric Chung Stability analysis and error estimates
of local discontinuous Galerkin methods
for convection--diffusion equations on
overlapping meshes . . . . . . . . . . . 853--876
Toni Karvonen and
Simo Särkkä Gaussian kernel quadrature at scaled
Gauss--Hermite nodes . . . . . . . . . . 877--902
Rasmus Dalgas Kongskov and
Yiqiu Dong and
Kim Knudsen Directional total generalized variation
regularization . . . . . . . . . . . . . 903--928
Chaman Kumar and
Sotirios Sabanis On Milstein approximations with varying
coefficients: the case of super-linear
diffusion coefficients . . . . . . . . . 929--968
Stefano Pozza and
Valeria Simoncini Inexact Arnoldi residual estimates and
decay properties for functions of
non-Hermitian matrices . . . . . . . . . 969--986
Christoph Reisinger and
Zhenru Wang Stability and error analysis of an
implicit Milstein finite difference
scheme for a two-dimensional Zakai SPDE 987--1029
Rosemary A. Renaut and
Anthony W. Helmstetter and
Saeed Vatankhah Unbiased predictive risk estimation of
the Tikhonov regularization parameter:
convergence with increasing rank
approximations of the singular value
decomposition . . . . . . . . . . . . . 1031--1061
Shun Sato Linear gradient structures and discrete
gradient methods for
conservative/dissipative
differential--algebraic equations . . . 1063--1091
Jiguang Sun and
Qian Zhang and
Zhimin Zhang A curl-conforming weak Galerkin method
for the quad-curl problem . . . . . . . 1093--1114
Yunfeng Cai and
Zhigang Jia and
Zheng-Jian Bai Perturbation analysis of an
eigenvector-dependent nonlinear
eigenvalue problem with applications . . 1--29
G. Chandhini and
K. S. Prashanthi and
V. Antony Vijesh Direct and integrated radial functions
based quasilinearization schemes for
nonlinear fractional differential
equations . . . . . . . . . . . . . . . 31--65
G. Kettil and
A. Målqvist and
A. Mark and
M. Fredlund and
K. Wester and
F. Edelvik Numerical upscaling of discrete network
models . . . . . . . . . . . . . . . . . 67--92
Georgios Akrivis and
Emmanouil Katsoprinakis Maximum angles of $ A \varvec
{(\vartheta)} $-stability of backward
difference formulae . . . . . . . . . . 93--99
Sedigheh Sabermahani and
Yadollah Ordokhani and
Sohrab Ali Yousefi Fractional-order general Lagrange
scaling functions and their applications 101--128
Tina Bosner and
Bojan Crnkovi\'c and
Jerko Skifi\'c Application of CCC--Schoenberg operators
on image resampling . . . . . . . . . . 129--155
Tobias Jawecki and
Winfried Auzinger and
Othmar Koch Computable upper error bounds for Krylov
approximations to matrix exponentials
and associated $ \varvec {\varphi
}$-functions . . . . . . . . . . . . . . 157--197
Erwan Deriaz Compact finite difference schemes of
arbitrary order for the Poisson equation
in arbitrary dimensions . . . . . . . . 199--233
Erik Burman and
Peter Hansbo and
Mats G. Larson Dirichlet boundary value correction
using Lagrange multipliers . . . . . . . 235--260
Derya Altintan and
Heinz Koeppl Hybrid master equation for
jump-diffusion approximation of
biomolecular reaction networks . . . . . 261--294
Carmen Campos and
Jose E. Roman A polynomial Jacobi--Davidson solver
with support for non-monomial bases and
deflation . . . . . . . . . . . . . . . 295--318
A. K. B. Chand and
N. Vijender and
P. Viswanathan and
A. V. Tetenov Affine zipper fractal interpolation
functions . . . . . . . . . . . . . . . 319--344
Snorre H. Christiansen and
Martin W. Licht Poincaré=-Friedrichs inequalities of
complexes of discrete distributional
differential forms . . . . . . . . . . . 345--371
Andrew Gillette and
Kaibo Hu and
Shuo Zhang Nonstandard finite element de Rham
complexes on cubical meshes . . . . . . 373--409
José Luis Gracia and
Eugene O'Riordan and
Martin Stynes Convergence analysis of a finite
difference scheme for a two-point
boundary value problem with a
Riemann--Liouville--Caputo fractional
derivative . . . . . . . . . . . . . . . 411--439
S. De Marchi and
F. Marchetti and
E. Perracchione Jumping with variably scaled
discontinuous kernels (VSDKs) . . . . . 441--463
Roberto Porc\`u and
Maurizio M. Chiaramonte Orthogonality constrained gradient
reconstruction for superconvergent
linear functionals . . . . . . . . . . . 465--479
Shweta Srivastava and
Sashikumaar Ganesan Local projection stabilization with
discontinuous Galerkin method in time
applied to convection dominated problems
in time-dependent domains . . . . . . . 481--507
Xiongbiao Tu and
Ander Murua and
Yifa Tang New high order symplectic integrators
via generating functions with its
application in many-body problem . . . . 509--535
Chaman Kumar and
Sotirios Sabanis Correction to: On Milstein
approximations with varying
coefficients: the case of super-linear
diffusion coefficients . . . . . . . . . 537--537
S. De Marchi and
F. Marchetti and
E. Perracchione Correction to: Jumping with variably
scaled discontinuous kernels (VSDKs) . . 539--540
Alberto Pettorossi Correction to: Towers of Hanoi problems:
Deriving iterative solutions by program
transformations . . . . . . . . . . . . 541--541
Charles-Edouard Bréhier and
Ludovic Gouden\`ege Weak convergence rates of splitting
schemes for the stochastic Allen--Cahn
equation . . . . . . . . . . . . . . . . 543--582
Coralia Cartis and
Nicholas I. M. Gould and
Marius Lange On monotonic estimates of the norm of
the minimizers of regularized quadratic
functions in Krylov spaces . . . . . . . ??
Gianluca Ceruti and
Christian Lubich Time integration of symmetric and
anti-symmetric low-rank matrices and
Tucker tensors . . . . . . . . . . . . . ??
Martin J. Gander and
Gerhard Wanner Exact BDF stability angles with Maple ??
Jan Giesselmann and
Fabian Meyer and
Christian Rohde A posteriori error analysis and adaptive
non-intrusive numerical schemes for
systems of random conservation laws . . ??
Karsten Kahl and
Nils Kintscher Automated local Fourier analysis (aLFA) ??
Marie-Laurence Mazure Geometrically continuous piecewise
Chebyshevian NU(R)BS . . . . . . . . . . ??
Joshua L. Padgett Analysis of an approximation to a
fractional extension problem . . . . . . ??
Milo Viviani A minimal-variable symplectic method for
isospectral flows . . . . . . . . . . . ??
Xiaojie Wang and
Jiayi Wu and
Bozhang Dong Mean-square convergence rates of
stochastic theta methods for SDEs under
a coupled monotonicity condition . . . . ??
Andrew R. Winters and
Christof Czernik and
Gregor J. Gassner Entropy stable numerical approximations
for the isothermal and polytropic Euler
equations . . . . . . . . . . . . . . . ??
Teng-Teng Yao and
Zheng-Jian Bai and
Zhi Zhao A geometric Gauss--Newton method for
least squares inverse eigenvalue
problems . . . . . . . . . . . . . . . . ??
Shengfeng Zhu and
Xianliang Hu and
Qifeng Liao Convergence analysis of Galerkin finite
element approximations to shape
gradients in eigenvalue optimization . . ??
O. Kounchev and
H. Render and
T. Tsachev On a class of $L$-splines of order 4:
fast algorithms for interpolation and
smoothing . . . . . . . . . . . . . . . 879--899
Lloyd N. Trefethen Quantifying the ill-conditioning of
analytic continuation . . . . . . . . . 901--915
Chuchu Chen and
Jialin Hong and
Diancong Jin Modified averaged vector field methods
preserving multiple invariants for
conservative stochastic differential
equations . . . . . . . . . . . . . . . 917--957
Kristian Debrabant and
Giovanni Samaey and
Przemys\law Zieli\'nski Study of micro-macro acceleration
schemes for linear slow-fast stochastic
differential equations with additive
noise . . . . . . . . . . . . . . . . . 959--998
Martin Lind and
Adrian Muntean and
Omar Richardson A semidiscrete Galerkin scheme for a
coupled two-scale elliptic-parabolic
system: well-posedness and convergence
approximation rates . . . . . . . . . . 999--1031
Mashetti Ravibabu and
Arindama Singh The Least squares and line search in
extracting eigenpairs in
Jacobi--Davidson method . . . . . . . . 1033--1055
Sebastian Becker and
Benjamin Gess and
Peter E. Kloeden Lower and upper bounds for strong
approximation errors for numerical
approximations of stochastic heat
equations . . . . . . . . . . . . . . . 1057--1073
Carla Jesus and
Ercília Sousa Numerical method with fractional splines
for a subdiffusion problem . . . . . . . 1075--1111
Marco Caliari and
Fabio Cassini and
Franco Zivcovich Approximation of the matrix exponential
for matrices with a skinny field of
values . . . . . . . . . . . . . . . . . 1113--1131
Chang-Song Deng and
Wei Liu Semi-implicit Euler--Maruyama method for
non-linear time-changed stochastic
differential equations . . . . . . . . . 1133--1151
Eleonora Musharbash and
Fabio Nobile and
Eva Vidlicková Symplectic dynamical low rank
approximation of wave equations with
random parameters . . . . . . . . . . . 1153--1201
Taibai Fu and
Zhoushun Zheng and
Beiping Duan Variational formulation for fractional
inhomogeneous boundary value problems 1203--1219
Patrick Kürschner and
Melina A. Freitag Inexact methods for the low rank
solution to large scale Lyapunov
equations . . . . . . . . . . . . . . . 1221--1259
Anonymous Read and Publish (Springer Compact)
Agreements . . . . . . . . . . . . . . . ??
Anonymous COVID-19 and impact on peer review . . . ??
Xiao Li and
Lili Ju and
Thi-Thao-Phuong Hoang Overlapping domain decomposition based
exponential time differencing methods
for semilinear parabolic equations . . . 1--36
Patrick Henning and
Johan Wärnegård A note on optimal $ H^1 $-error
estimates for Crank--Nicolson
approximations to the nonlinear
Schrödinger equation . . . . . . . . . . 37--59
Simon Baumstark and
Katharina Schratz Asymptotic preserving trigonometric
integrators for the quantum Zakharov
system . . . . . . . . . . . . . . . . . 61--81
Ludvig af Klinteberg and
Alex H. Barnett Accurate quadrature of nearly singular
line integrals in two and three
dimensions by singularity swapping . . . 83--118
Armin Eftekhari and
Bart Vandereycken and
Konstantinos C. Zygalakis Explicit stabilised gradient descent for
faster strongly convex optimisation . . 119--139
Yabin Zhang and
Adrianna Gillman A fast direct solver for two dimensional
quasi-periodic multilayered media
scattering problems . . . . . . . . . . 141--171
Martin J. Gander and
Felix Kwok and
Bankim C. Mandal Dirichlet--Neumann waveform relaxation
methods for parabolic and hyperbolic
problems in multiple subdomains . . . . 173--207
A. Anciaux-Sedrakian and
L. Grigori and
S. Yousef An a posteriori-based adaptive
preconditioner for controlling a local
algebraic error norm . . . . . . . . . . 209--235
Stefano Massei and
Leonardo Robol Rational Krylov for Stieltjes matrix
functions: convergence and pole
selection . . . . . . . . . . . . . . . 237--273
Jehanzeb H. Chaudhry and
Donald Estep and
Simon J. Tavener Error estimation and uncertainty
quantification for first time to a
threshold value . . . . . . . . . . . . 275--307
Lukas Bystricky and
Sara Pålsson and
Anna-Karin Tornberg An accurate integral equation method for
Stokes flow with piecewise smooth
boundaries . . . . . . . . . . . . . . . 309--335
Jacob D. Moorman and
Thomas K. Tu and
Deanna Needell Randomized Kaczmarz with averaging . . . 337--359
Marko Lange and
Siegfried M. Rump Verified inclusions for a nearest matrix
of specified rank deficiency via a
generalization of Wedin's $ \sin
(\theta) $ theorem . . . . . . . . . . . 361--380
Kristian Debrabant and
Anne Kværnò and
Nicky Cordua Mattsson Runge--Kutta Lawson schemes for
stochastic differential equations . . . 381--409
Maciej Go\'cwin On optimal adaptive quadratures for
automatic integration . . . . . . . . . 411--439
Katrin Grunert and
Anders Nordli and
Susanne Solem Numerical conservative solutions of the
Hunter--Saxton equation . . . . . . . . 441--471
Yuka Hashimoto and
Takashi Nodera Inexact rational Krylov method for
evolution equations . . . . . . . . . . 473--502
Shin-ichi Ito and
Takeru Matsuda and
Yuto Miyatake Adjoint-based exact Hessian computation 503--522
Jean B. Lasserre Simple formula for integration of
polynomials on a simplex . . . . . . . . 523--533
Vu Thai Luan Efficient exponential Runge--Kutta
methods of high order: construction and
implementation . . . . . . . . . . . . . 535--560
Alberto Pessia and
Jing Tang A three-term recurrence relation for
accurate evaluation of transition
probabilities of the simple
birth-and-death process . . . . . . . . 561--585
Behzad Nemati Saray Abel's integral operator: sparse
representation based on multiwavelets 587--606
Jingmin Xia and
Patrick E. Farrell and
Florian Wechsung Augmented Lagrangian preconditioners for
the Oseen--Frank model of nematic and
cholesteric liquid crystals . . . . . . 607--644
Fei Xu and
Hehu Xie and
Meiling Yue A multigrid method for the ground state
solution of Bose--Einstein condensates
based on Newton iteration . . . . . . . 645--663
Huilan Zeng and
Chen-Song Zhang and
Shuo Zhang Optimal quadratic element on rectangular
grids for $ H^1 $ problems . . . . . . . 665--689
Yongtao Zhou and
Martin Stynes Block boundary value methods for linear
weakly singular Volterra
integro-differential equations . . . . . 691--720
Simon Becher and
Gunar Matthies Variational time discretizations of
higher order and higher regularity . . . 721--755
Teodora Catinas Nielson interpolation operators on an
arbitrary triangle with one curved side 757--770
Joachim Crevat and
Francis Filbet Asymptotic preserving schemes for the
FitzHugh--Nagumo transport equation with
strong local interactions . . . . . . . 771--804
S. González-Pinto and
E. Hairer and
D. Hernández-Abreu Power boundedness in the maximum norm of
stability matrices for ADI methods . . . 805--827
Sixian Jin and
Kei Kobayashi Strong approximation of time-changed
stochastic differential equations
involving drifts with random and
non-random integrators . . . . . . . . . 829--857
Hyun-Min Kim and
Jie Meng Structured perturbation analysis for an
infinite size quasi-Toeplitz matrix
equation with applications . . . . . . . 859--879
Katharina Kormann and
Anna Yurova A generalized Fourier--Hermite method
for the Vlasov--Poisson system . . . . . 881--909
Hanyu Li and
Yuanyang Zhu Randomized block Krylov subspace methods
for trace and log-determinant estimators 911--939
Kent-Andre Mardal and
Marie E. Rognes and
Travis B. Thompson Accurate discretization of
poroelasticity without Darcy stability 941--976
Bin Wang and
Xinyuan Wu A long-term numerical energy-preserving
analysis of symmetric and/or symplectic
extended RKN integrators for efficiently
solving highly oscillatory Hamiltonian
systems . . . . . . . . . . . . . . . . 977--1004
Fei Wang and
Sheheryar Shah and
Wenqiang Xiao A priori error estimates of
discontinuous Galerkin methods for a
quasi-variational inequality . . . . . . 1005--1022
Yuan-Ming Wang A high-order compact finite difference
method on nonuniform time meshes for
variable coefficient
reaction-subdiffusion problems with a
weak initial singularity . . . . . . . . 1023--1059
Yong-Liang Zhao and
Meng Li and
Xian-Ming Gu An efficient second-order energy stable
BDF scheme for the space fractional
Cahn--Hilliard equation . . . . . . . . 1061--1092
Xianglan Bai and
Alessandro Buccini and
Lothar Reichel Golub--Kahan vs. Monte Carlo: a
comparison of bidiagonalization and a
randomized SVD method for the solution
of linear discrete ill-posed problems 1093--1114
Yongyong Cai and
Yichen Guo Uniformly accurate nested Picard
integrators for a system of oscillatory
ordinary differential equations . . . . 1115--1152
Jehanzeb H. Chaudhry and
Donald Estep and
Simon J. Tavener A posteriori error analysis for Schwarz
overlapping domain decomposition methods 1153--1191
Xavier Claeys and
Lorenzo Giacomel and
Carolina Urzúa-Torres Quotient-space boundary element methods
for scattering at complex screens . . . 1193--1221
G. Deligiannidis and
S. Maurer and
M. V. Tretyakov Random walk algorithm for the Dirichlet
problem for parabolic
integro-differential equation . . . . . 1223--1269
Sondre Tesdal Galtung and
Katrin Grunert A numerical study of variational
discretizations of the Camassa--Holm
equation . . . . . . . . . . . . . . . . 1271--1309
Fu-Rong Lin and
Hai-Dong Qu and
Zi-Hang She DNT preconditioner for one-sided space
fractional diffusion equations . . . . . 1311--1335
Hassan Majidian Efficient computation of oscillatory
integrals by exponential transformations 1337--1365
Martyna Soszy\'nska and
Thomas Richter Adaptive time-step control for a
monolithic multirate scheme coupling the
heat and wave equation . . . . . . . . . 1367--1396
Chunmei Su and
Gulcin M. Muslu An exponential integrator sine
pseudospectral method for the
generalized improved Boussinesq equation 1397--1419
Jing Sun and
Daxin Nie and
Weihua Deng Algorithm implementation and numerical
analysis for the two-dimensional
tempered fractional Laplacian . . . . . 1421--1452
Xiangcheng Zheng and
Hong Wang A time-fractional diffusion equation
with space-time dependent hidden-memory
variable order: analysis and
approximation . . . . . . . . . . . . . 1453--1481
Yuka Hashimoto and
Takashi Nodera Correction to: Inexact rational Krylov
method for evolution equations . . . . . 1483--1487
Anton Arnold and
Christian Klein and
Bernhard Ujvari WKB-method for the 1D Schrödinger
equation in the semi-classical limit:
enhanced phase treatment . . . . . . . . 1--22
Gianluca Ceruti and
Christian Lubich An unconventional robust integrator for
dynamical low-rank approximation . . . . 23--44
Rodrigo T. Sato Martín de Almagro Convergence of Lobatto-type Runge--Kutta
methods for partitioned
differential-algebraic systems of index
2 . . . . . . . . . . . . . . . . . . . 45--67
Andrii Dmytryshyn Recovering a perturbation of a matrix
polynomial from a perturbation of its
first companion linearization . . . . . 69--88
Sharat Gaddam and
Thirupathi Gudi and
Kamana Porwal Two new approaches for solving elliptic
obstacle problems using discontinuous
Galerkin methods . . . . . . . . . . . . 89--124
Erna Begovi\'c Kovac Hybrid CUR-type decomposition of tensors
in the Tucker format . . . . . . . . . . 125--138
Saint-Cyr E. R. Koyaguerebo-Imé and
Yves Bourgault Arbitrary high order A-stable and
B-convergent numerical methods for ODEs
via deferred correction . . . . . . . . 139--170
Anna Ma and
Denali Molitor Randomized Kaczmarz for tensor linear
systems . . . . . . . . . . . . . . . . 171--194
Stefano Massei Some algorithms for maximum volume and
cross approximation of symmetric
semidefinite matrices . . . . . . . . . 195--220
Antoni Musolas and
Estelle Massart and
Youssef Marzouk Low-rank multi-parametric covariance
identification . . . . . . . . . . . . . 221--249
G. Murali Mohan Reddy Fully discrete a posteriori error
estimates for parabolic
integro-differential equations using the
two-step backward differentiation
formula . . . . . . . . . . . . . . . . 251--277
Gabriele Santin and
Toni Karvonen and
Bernard Haasdonk Sampling based approximation of linear
functionals in reproducing kernel
Hilbert spaces . . . . . . . . . . . . . 279--310
Zhi Zhao and
Xiao-Qing Jin and
Teng-Teng Yao A Riemannian under-determined BFGS
method for least squares inverse
eigenvalue problems . . . . . . . . . . 311--337
M. H. Annaby and
S. R. Elsayed-Abdullah Pointwise and uniform error estimates
associated with Abel--Whittaker
interpolation series and its dual . . . 339--356
Michele Benzi and
Igor Simunec Rational Krylov methods for fractional
diffusion problems on graphs . . . . . . 357--385
Marie Billaud-Friess and
Antonio Falcó and
Anthony Nouy A new splitting algorithm for dynamical
low-rank approximation motivated by the
fibre bundle structure of matrix
manifolds . . . . . . . . . . . . . . . 387--408
Henrik Brandén Grid independent convergence using
multilevel circulant preconditioning:
Poisson's equation . . . . . . . . . . . 409--429
B. Cano and
N. Reguera How to avoid order reduction when Lawson
methods integrate nonlinear initial
boundary value problems . . . . . . . . 431--463
Sean Hon and
Stefano Serra-Capizzano and
Andy Wathen Band-Toeplitz preconditioners for
ill-conditioned Toeplitz systems . . . . 465--491
Jialin Hong and
Lihai Ji and
Jingjing Zhang Positivity-preserving symplectic methods
for the stochastic Lotka--Volterra
predator-prey model . . . . . . . . . . 493--520
Riu Naito and
Toshihiro Yamada A higher order weak approximation of
McKean--Vlasov type SDEs . . . . . . . . 521--559
Dimitrios Noutsos and
Grigorios Tachyridis Band-times-circulant preconditioners for
non-symmetric Toeplitz systems . . . . . 561--590
Harry Oviedo and
Oscar Dalmau and
Rafael Herrera An accelerated minimal gradient method
with momentum for strictly convex
quadratic optimization . . . . . . . . . 591--606
Markus Wahlsten and
Oskar Ålund and
Jan Nordström An efficient hybrid method for
uncertainty quantification . . . . . . . 607--629
Baoli Yin and
Yang Liu and
Zhimin Zhang Efficient shifted fractional trapezoidal
rule for subdiffusion problems with
nonsmooth solutions on uniform meshes 631--666
Zhong Zheng and
Jing Chen and
Yue-Fen Chen A fully structured preconditioner for a
class of complex symmetric indefinite
linear systems . . . . . . . . . . . . . 667--680
Giovanni Barbarino A systematic approach to reduced GLT . . 681--743
Alexei Bazavov Commutator-free Lie group methods with
minimum storage requirements and reuse
of exponentials . . . . . . . . . . . . 745--771
Francesco Dell'Accio and
Filomena Di Tommaso and
Najoua Siar and
Marco Vianello Numerical differentiation on scattered
data through multivariate polynomial
interpolation . . . . . . . . . . . . . 773--801
Monika Eisenmann and
Mihály Kovács and
Raphael Kruse and
Stig Larsson Error estimates of the backward
Euler--Maruyama method for multi-valued
stochastic differential equations . . . 803--848
Luca Gemignani and
Federico Poloni Comparison theorems for splittings of
M-matrices in (block) Hessenberg form 849--867
Michael Günther and
Adrian Sandu Multirate linearly-implicit GARK schemes 869--901
Tomoya Kemmochi and
Shun Sato Scalar auxiliary variable approach for
conservative/dissipative partial
differential equations with unbounded
energy functionals . . . . . . . . . . . 903--930
A. Lanza and
M. Pragliola and
F. Sgallari Automatic fidelity and regularization
terms selection in variational image
restoration . . . . . . . . . . . . . . 931--964
Kookjin Lee and
Howard C. Elman and
Catherine E. Powell and
Dongeun Lee Enhanced alternating energy minimization
methods for stochastic Galerkin matrix
equations . . . . . . . . . . . . . . . 965--994
Lei Li and
Dongling Wang Numerical stability of Grünwald--Letnikov
method for time fractional delay
differential equations . . . . . . . . . 995--1027
Peipei Lu and
Andreas Rupp and
Guido Kanschat Homogeneous multigrid for embedded
discontinuous Galerkin methods . . . . . 1029--1048
Yifei Wu and
Xiaofei Zhao Embedded exponential-type low-regularity
integrators for KdV equation under rough
data . . . . . . . . . . . . . . . . . . 1049--1090
Niel Van Buggenhout and
Marc Van Barel Correction to: ``How and how not to
check Gaussian quadrature formulae'' . . 1091--1092
Michelle Muniz and
Matthias Ehrhardt and
Michael Günther and
Renate Winkler Correction to: Higher strong order
methods for linear Itô SDEs on matrix Lie
groups . . . . . . . . . . . . . . . . . 1093--1093
Michelle Muniz and
Matthias Ehrhardt and
Michael Günther and
Renate Winkler Higher strong order methods for linear
Itô SDEs on matrix Lie groups . . . . . . 1095--1119
Kristian Debrabant and
Anne Kværnò and
Nicky Cordua Mattsson Lawson schemes for highly oscillatory
stochastic differential equations and
conservation of invariants . . . . . . . 1121--1147
Gianluca Ceruti and
Jonas Kusch and
Christian Lubich A rank-adaptive robust integrator for
dynamical low-rank approximation . . . . 1149--1174
Zhao-Zheng Liang and
Yan Dou Fast rotated BSOR method for block
two-by-two linear systems with
application to PDE-constrained optimal
control problems . . . . . . . . . . . . 1175--1206
Sòlve Eidnes Order theory for discrete gradient
methods . . . . . . . . . . . . . . . . 1207--1255
A. H. Bentbib and
A. Khouia and
H. Sadok Color image and video restoration using
tensor CP decomposition . . . . . . . . 1257--1278
Robin Merkle and
Andrea Barth Multilevel Monte Carlo estimators for
elliptic PDEs with Lévy-type diffusion
coefficient . . . . . . . . . . . . . . 1279--1317
Xiujie Shan and
Jiebao Sun and
Zhichang Guo and
Wenjuan Yao and
Zhenyu Zhou Fractional-order diffusion model for
multiplicative noise removal in
texture-rich images and its fast
explicit diffusion solving . . . . . . . 1319--1354
Udo Boehm and
Sonja Cox and
Gregor Gantner and
Rob Stevenson Efficient numerical approximation of a
non-regular Fokker--Planck equation
associated with first-passage time
distributions . . . . . . . . . . . . . 1355--1382
M. Asadzadeh and
B. N. Saray On a multiwavelet spectral element
method for integral equation of a
generalized Cauchy problem . . . . . . . 1383--1416
Manuel Bogoya and
Sergei M. Grudsky and
Stefano Serra\textendashCapizzano and
Cristina Tablino\textendashPossio Fine spectral estimates with
applications to the optimally fast
solution of large FDE linear systems . . 1417--1431
Luka Grubisi\'c and
Harri Hakula High order approximations of the
operator Lyapunov equation have low rank 1433--1459
Moulay Abdellah Chkifa Newton interpolation using $ \Re $-Leja
sequences . . . . . . . . . . . . . . . 1461--1485
Jonas Zeifang and
Jochen Schütz and
David C. Seal Stability of implicit multiderivative
deferred correction methods . . . . . . 1487--1503
Gunther Leobacher and
Christoph Reisinger and
Wolfgang Stockinger Well-posedness and numerical schemes for
one-dimensional McKean--Vlasov equations
and interacting particle systems with
discontinuous drift . . . . . . . . . . 1505--1549
Vladimir Druskin and
Stefan Güttel and
Leonid Knizhnerman Model order reduction of layered
waveguides via rational Krylov fitting 1551--1572
Zhihui Liu $ L^p $-convergence rate of backward
Euler schemes for monotone SDEs . . . . 1573--1590
Guoguo Yang and
Kevin Burrage and
Yoshio Komori and
Xiaohua Ding A new class of structure-preserving
stochastic exponential Runge--Kutta
integrators for stochastic differential
equations . . . . . . . . . . . . . . . 1591--1623
Maria Cabrera Calvo and
Katharina Schratz Uniformly accurate splitting schemes for
the Benjamin--Bona--Mahony equation with
dispersive parameter . . . . . . . . . . 1625--1647
Peter Benner and
Bruno Iannazzo and
Beatrice Meini and
Davide Palitta Palindromic linearization and numerical
solution of nonsymmetric algebraic
$T$-Riccati equations . . . . . . . . . 1649--1672
Simon-Christian Klein Using the Dafermos entropy rate
criterion in numerical schemes . . . . . 1673--1701
Mildred Aduamoah and
Benjamin D. Goddard and
John W. Pearson and
Jonna C. Roden Pseudospectral methods and iterative
solvers for optimization problems from
multiscale particle dynamics . . . . . . 1703--1743
Francesco Patrizi Effective grading refinement for locally
linearly independent $ L R $ B-splines 1745--1764
Jennifer Scott and
Miroslav Tuma Solving large linear least squares
problems with linear equality
constraints . . . . . . . . . . . . . . 1765--1787
Yves Bourgault and
André Garon Variable-step deferred correction
methods based on backward
differentiation formulae for ordinary
differential equations . . . . . . . . . 1789--1822
Clauson Carvalho da Silva and
Christian Lessig Variational symplectic diagonally
implicit Runge--Kutta methods for
isospectral systems . . . . . . . . . . 1823--1840
Maryam Al Zohbi and
Ahmad El Hajj and
Mustapha Jazar Convergent semi-explicit scheme to a
non-linear eikonal system . . . . . . . 1841--1872
Ali Gholami and
Silvia Gazzola Automatic balancing parameter selection
for Tikhonov--TV regularization . . . . 1873--1898
Congpei An and
Hao-Ning Wu On the quadrature exactness in
hyperinterpolation . . . . . . . . . . . 1899--1919
Guillaume Penent and
Nicolas Privault Numerical evaluation of ODE solutions by
Monte Carlo enumeration of Butcher
series . . . . . . . . . . . . . . . . . 1921--1944
Mohammad Motamed A hierarchically low-rank optimal
transport dissimilarity measure for
structured data . . . . . . . . . . . . 1945--1982
Wei-Hua Luo and
Xian-Ming Gu and
Bruno Carpentieri A dimension expanded preconditioning
technique for saddle point problems . . 1983--2004
Fei Xu and
Qiumei Huang and
Manting Xie An efficient adaptive multigrid method
for the elasticity eigenvalue problem 2005--2033
Wei-Hua Luo and
Xian-Ming Gu and
Bruno Carpentieri Correction to: a dimension expanded
preconditioning technique for saddle
point problems . . . . . . . . . . . . . 2035--2035
Ivana Kuzmanovi\'c Ivici\'c and
Suzana Miodragovi\'c Perturbation bounds for stable
gyroscopic systems . . . . . . . . . . . ??
Cao-Kha Doan and
Thi-Thao-Phuong Hoang and
Lili Ju and
Katharina Schratz Low regularity integrators for
semilinear parabolic equations with
maximum bound principles . . . . . . . . ??
Ibrahim Almuslimani A fully adaptive explicit stabilized
integrator for
advection-diffusion-reaction problems ??
Marlis Hochbruck and
Markus Neher and
Stefan Schrammer Dynamical low-rank integrators for
second-order matrix differential
equations . . . . . . . . . . . . . . . ??
Daniel Appelö and
Lu Zhang and
Thomas Hagstrom and
Fengyan Li An energy-based discontinuous Galerkin
method with tame CFL numbers for the
wave equation . . . . . . . . . . . . . ??
Jan Glaubitz and
Jonah A. Reeger Towards stability results for global
radial basis function based quadrature
formulas . . . . . . . . . . . . . . . . ??
Yuan-Ming Wang and
Bo Xie A fractional Adams--Simpson-type method
for nonlinear fractional ordinary
differential equations with non-smooth
data . . . . . . . . . . . . . . . . . . ??
Hennes Hajduk and
Andreas Rupp Analysis of algebraic flux correction
schemes for semi-discrete advection
problems . . . . . . . . . . . . . . . . ??
Marlis Hochbruck and
Markus Neher and
Stefan Schrammer Rank-adaptive dynamical low-rank
integrators for first-order and
second-order matrix differential
equations . . . . . . . . . . . . . . . ??
Zora Lj. Golubovi\'c and
Gradimir V. Milovanovi\'c Quadrature processes for efficient
calculation of the Clausen functions . . ??
Changqing Ye and
Eric T. Chung Convergence of trigonometric and
finite-difference discretization schemes
for FFT-based computational
micromechanics . . . . . . . . . . . . . ??
Jehanzeb H. Chaudhry and
Donald Estep and
Trevor Giannini and
Zachary Stevens and
Simon J. Tavener Error estimation for the time to a
threshold value in evolutionary partial
differential equations . . . . . . . . . ??
Benjamin Carrel and
Martin J. Gander and
Bart Vandereycken Low-rank Parareal: a low-rank
parallel-in-time integrator . . . . . . ??
Christian Lubich and
Yanyan Shi On a large-stepsize integrator for
charged-particle dynamics . . . . . . . ??
G. Cappellazzo and
W. Erb and
F. Marchetti and
D. Poggiali On Kosloff Tal--Ezer least-squares
quadrature formulas . . . . . . . . . . ??
D. Ivanenko and
A. Kohatsu-Higa and
A. Kulik Small time chaos approximations for heat
kernels of multidimensional diffusions ??
Byron A. Jacobs and
Fredrik Laurén and
Jan Nordström On the order reduction of approximations
of fractional derivatives: an
explanation and a cure . . . . . . . . . ??
Daniel Kressner and
Ivana Sain Glibi\'c Singular quadratic eigenvalue problems:
linearization and weak condition numbers ??
Reza Zolfaghari and
Nedialko S. Nedialkov An Hermite--Obreschkoff method for stiff
high-index DAE . . . . . . . . . . . . . ??
Dario A. Bini and
Bruno Iannazzo and
Jie Meng Geometric means of quasi-Toeplitz
matrices . . . . . . . . . . . . . . . . ??
Daan Huybrechs and
Lloyd N. Trefethen AAA interpolation of equispaced data . . ??
Alvise Sommariva and
Marco Vianello Low cardinality positive interior
cubature on NURBS-shaped domains . . . . ??
Annan Yu and
Alex Townsend On the stability of unevenly spaced
samples for interpolation and quadrature ??
Francesco Dell'Accio and
Domenico Mezzanotte and
Federico Nudo and
Donatella Occorsio Product integration rules by the
constrained mock-Chebyshev least squares
operator . . . . . . . . . . . . . . . . ??
Yanhui Liu and
Xueying Zeng and
Weiguo Wang Proximal gradient algorithm for
nonconvex low tubal rank tensor recovery ??
Tobias Jahnke and
Michael Kirn On numerical methods for the
semi-nonrelativistic limit system of the
nonlinear Dirac equation . . . . . . . . ??
Gerd Steinebach Construction of Rosenbrock--Wanner
method Rodas5P and numerical benchmarks
within the Julia Differential Equations
package . . . . . . . . . . . . . . . . ??
Siegfried M. Rump Computation of the unit in the first
place (ufp) and the unit in the last
place (ulp) in precision-$p$ base $
\beta $ . . . . . . . . . . . . . . . . ??
Peter Kunkel and
Volker Mehrmann Discretization of inherent ODEs and the
geometric integration of DAEs with
symmetries . . . . . . . . . . . . . . . ??
Angelo Casulli and
Leonardo Robol Low-rank tensor structure preservation
in fractional operators by means of
exponential sums . . . . . . . . . . . . ??
Tinko Bartels and
Vissarion Fisikopoulos and
Martin Weiser Fast floating-point filters for robust
predicates . . . . . . . . . . . . . . . ??
Leszek Plaskota and
Pawe\l Przyby\lowicz and
Lukasz St\kepie\'n Monte Carlo integration of $ C^r $
functions with adaptive variance
reduction: an asymptotic analysis . . . ??
Cónall Kelly and
Gabriel J. Lord and
Fandi Sun Strong convergence of an adaptive
time-stepping Milstein method for SDEs
with monotone coefficients . . . . . . . ??
Philip L. Lederer Asymptotically exact a posteriori error
estimates for the BDM finite element
approximation of mixed Laplace
eigenvalue problems . . . . . . . . . . ??
Daniel Eckhardt and
Barbara Verfürth Fully discrete heterogeneous multiscale
method for parabolic problems with
multiple spatial and temporal scales . . ??
Taejun Park and
Yuji Nakatsukasa A fast randomized algorithm for
computing an approximate null space . . ??
Vo Anh Khoa and
Nguyen Dat Thuc and
Ajith Gunaratne Analysis and simulation of a variational
stabilization for the Helmholtz equation
with noisy Cauchy data . . . . . . . . . ??
Chao Zheng Multilevel Monte Carlo using approximate
distributions of the CIR process . . . . ??
Hong-lin Liao and
Tao Tang and
Tao Zhou Stability and convergence of the
variable-step time filtered backward
Euler scheme for parabolic equations . . ??
Hao Zhou and
Yaozhong Hu and
Yanghui Liu Backward Euler method for stochastic
differential equations with
non-Lipschitz coefficients driven by
fractional Brownian motion . . . . . . . ??
William Mitchell and
Abbie Natkin and
Paige Robertson and
Marika Sullivan and
Xuechen Yu and
Chenxin Zhu Decomposition and conformal mapping
techniques for the quadrature of nearly
singular integrals . . . . . . . . . . . ??
Jeonghun J. Lee Analysis and preconditioning of
parameter-robust finite element methods
for Biot's consolidation model . . . . . ??
Meng Cai and
Ruisheng Qi and
Xiaojie Wang Strong convergence rates of an explicit
scheme for stochastic Cahn--Hilliard
equation with additive noise . . . . . . ??
Arne Rempke Parallel line identification for
line-implicit-solvers . . . . . . . . . ??
Viktor Linders and
Hendrik Ranocha and
Philipp Birken Resolving entropy growth from iterative
methods . . . . . . . . . . . . . . . . ??
Weimin Han and
Feifei Jing and
Yuan Yao Stabilized low-order mixed finite
element methods for a Navier--Stokes
hemivariational inequality . . . . . . . ??
Zhijie Du and
Huoyuan Duan A stabilized finite element method on
nonaffine grids for time-harmonic
Maxwell's equations . . . . . . . . . . ??
Xue-Feng Duan and
Yong-Shen Zhang and
Qing-Wen Wang and
Chun-Mei Li Paige's Algorithm for solving a class of
tensor least squares problem . . . . . . ??
Vance Faber and
Jörg Liesen and
Petr Tichý On the Forsythe conjecture . . . . . . . ??
Elena Celledoni and
Helge Glöckner and
Jòrgen N. Riseth and
Alexander Schmeding Deep neural networks on diffeomorphism
groups for optimal shape
reparametrization . . . . . . . . . . . ??
Annika Lang and
Mike Pereira Galerkin--Chebyshev approximation of
Gaussian random fields on compact
Riemannian manifolds . . . . . . . . . . ??
Andrés Galindo-Olarte and
Juntao Huang and
Jennifer Ryan and
Yingda Cheng Superconvergence and accuracy
enhancement of discontinuous Galerkin
solutions for Vlasov--Maxwell equations ??
Eleonora Denich and
Paolo Novati Gaussian rule for integrals involving
Bessel functions . . . . . . . . . . . . ??
Laurent O. Jay and
Olga Sokratova A note on approximate Jacobians of
implicit Runge--Kutta methods and
convergence of modified Newton
iterations . . . . . . . . . . . . . . . ??
Xiaodi Zhang and
Shitian Dong New structure-preserving mixed finite
element method for the stationary MHD
equations with magnetic-current
formulation . . . . . . . . . . . . . . ??
Jiayu Han and
Zhimin Zhang An hp-version interior penalty
discontinuous Galerkin method for the
quad-curl eigenvalue problem . . . . . . ??
Malak Diab and
Andreas Frommer and
Karsten Kahl A flexible short recurrence Krylov
subspace method for matrices arising in
the time integration of port-Hamiltonian
systems and ODEs/DAEs with a dissipative
Hamiltonian . . . . . . . . . . . . . . ??
J. Bernier and
S. Blanes and
F. Casas and
A. Escorihuela-Tom\`as Symmetric-conjugate splitting methods
for linear unitary problems . . . . . . ??
Shounian Deng and
Chen Fei and
Weiyin Fei and
Xuerong Mao Positivity-preserving truncated
Euler--Maruyama method for generalised
Ait--Sahalia-type interest model . . . . ??
Zeyi Zhang and
Dong Shen Randomized Kaczmarz algorithm with
averaging and block projection . . . . . ??
Fredrik Hellman and
Axel Målqvist and
Malin Mosquera Well-posedness and finite element
approximation of mixed dimensional
partial differential equations . . . . . ??
Sergio Amat and
David Levin and
Juan Ruiz-Álvarez and
Dionisio F. Yáñez A regularization-correction approach for
adapting subdivision schemes to the
presence of discontinuities . . . . . . ??
Chao Zeng and
Michael K. Ng and
Tai-Xiang Jiang Incremental algorithms for truncated
higher-order singular value
decompositions . . . . . . . . . . . . . ??
Alexander Malyshev and
Miloud Sadkane On the stability radius for linear
time-delay systems . . . . . . . . . . . ??
Bin Wang and
Yaolin Jiang Improved uniform error bounds on
parareal exponential algorithm for
highly oscillatory systems . . . . . . . ??
JaEun Ku and
Martin Stynes A posteriori error estimates for a dual
finite element method for singularly
perturbed reaction--diffusion problems ??
Hao Ren and
Junjie Ma and
Huilan Liu A convolution quadrature using
derivatives and its application . . . . ??
Zheng Ma and
Martin Stynes and
Chengming Huang Convergence and superconvergence of a
fractional collocation method for weakly
singular Volterra integro-differential
equations . . . . . . . . . . . . . . . ??
Anshul Prajapati and
Punit Sharma Structured eigenvalue backward errors
for rational matrix functions with
symmetry structures . . . . . . . . . . ??
Ludvig af Klinteberg Singularity swap quadrature for nearly
singular line integrals on closed curves
in two dimensions . . . . . . . . . . . ??
Pedro Massey Admissible subspaces and the subspace
iteration method . . . . . . . . . . . . ??
Slimane Adjerid and
Tao Lin and
Haroun Meghaichi A unified immersed finite element error
analysis for one-dimensional interface
problems . . . . . . . . . . . . . . . . ??
Georgios Akrivis and
Minghua Chen and
Jianxing Han and
Fan Yu and
Zhimin Zhang The variable two-step BDF method for
parabolic equations . . . . . . . . . . ??
Mokhtar Abbasi and
Touraj Nikazad Bounded perturbations resilient
iterative methods for linear systems and
least squares problems: operator-based
approaches, analysis, and performance
evaluation . . . . . . . . . . . . . . . ??
W. Erb and
T. Hangelbroek and
F. J. Narcowich and
C. Rieger and
J. D. Ward Highly localized RBF Lagrange functions
for finite difference methods on spheres ??
Thomas R. Cameron and
Stef Graillat Accurate Horner methods in real and
complex floating-point arithmetic . . . ??
Qing Li and
Steinar Evje Learning the flux and diffusion function
for degenerate convection-diffusion
equations using different types of
observations . . . . . . . . . . . . . . ??
André Uschmajew and
Andreas Zeiser Dynamical low-rank approximation of the
Vlasov--Poisson equation with piecewise
linear spatial boundary . . . . . . . . ??
R. Altmann and
R. Maier and
B. Unger Semi-explicit integration of second
order for weakly coupled poroelasticity ??
Fei Xu and
Bingyi Wang and
Manting Xie Multilevel local defect-correction
method for the non-selfadjoint Steklov
eigenvalue problems . . . . . . . . . . ??
Siegfried M. Rump and
Takeshi Ogita On a quality measure for interval
inclusions . . . . . . . . . . . . . . . ??
Tom Gustafsson and
Juha Videman Stabilised finite element method for
Stokes problem with nonlinear slip
condition . . . . . . . . . . . . . . . ??
Yuanyuan Feng and
Lei Li A class of monotonicity-preserving
variable-step discretizations for
Volterra integral equations . . . . . . ??
Axel Séguin and
Gianluca Ceruti and
Daniel Kressner From low-rank retractions to dynamical
low-rank approximation and back . . . . ??
Benjamin Jarman and
Lara Kassab and
Deanna Needell and
Alexander Sietsema Stochastic iterative methods for online
rank aggregation from pairwise
comparisons . . . . . . . . . . . . . . ??
Yanping Chen and
Zhenrong Chen and
Yunqing Huang An hp-version of the discontinuous
Galerkin method for fractional
integro-differential equations with
weakly singular kernels . . . . . . . . ??
Gouranga Pradhan and
Bhupen Deka Optimal convergence analysis of the
virtual element methods for viscoelastic
wave equations with variable
coefficients on polygonal meshes . . . . ??
Utku Erdogan and
Gabriel J. Lord Weak convergence of tamed exponential
integrators for stochastic differential
equations . . . . . . . . . . . . . . . ??
Gianluca Ceruti and
Lukas Einkemmer and
Jonas Kusch and
Christian Lubich A robust second-order low-rank BUG
integrator based on the midpoint rule ??
Roxane Delville-Atchekzai and
Xavier Claeys and
Matthieu Lecouvez Substructuring the Hiptmair--Xu
preconditioner for positive definite $
H(\varvec {curl}, \Omega) $ problems . . ??
Daniel Kressner and
Bor Plestenjak Analysis of eigenvalue condition numbers
for a class of randomized numerical
methods for singular matrix pencils . . ??
Francesca Bonizzoni and
Philip Freese and
Daniel Peterseim Super-localized orthogonal decomposition
for convection-dominated diffusion
problems . . . . . . . . . . . . . . . . ??
Kristof Cools and
Carolina Urzúa-Torres Block diagonal Calderón preconditioning
for scattering at multi-screens . . . . ??
Pawe\l Przyby\lowicz and
Verena Schwarz and
Michaela Szölgyenyi Lower error bounds and optimality of
approximation for jump-diffusion SDEs
with discontinuous drift . . . . . . . . ??
Medine Demir and
Volker John Pressure-robust approximation of the
incompressible Navier--Stokes equations
in a rotating frame of reference . . . . ??
S. Gill A process for the step-by-step
integration of differential equations in
an automatic digital computing machine 96--108
W. Kahan Pracniques: Further Remarks on Reducing
Truncation Errors . . . . . . . . . . . 40--40
D. T. Lee Visibility of a Simple Polygon . . . . . 207--221
W\lodzimierz Dobosiewicz Sorting by Distributive Partitioning . . 1--6
Arne T. Jonassen and
Donald E. Knuth A trivial algorithm whose analysis isn't 301--322
Ronald Fagin and
Jürg Nievergelt and
Nicholas Pippenger and
H. Raymond Strong Extendible Hashing --- a Fast Access
Method for Dynamic Files . . . . . . . . 315--344