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Thu Apr 11 10:11:44 MDT 2024
E. Stiefel Über diskrete und lineare
Tschebyscheff-Approximationen. (German)
[On Discrete and Linear Chebyshev
Approximations] . . . . . . . . . . . . 1--28
Alston S. Householder and
Friedrich L. Bauer On Certain Methods for Expanding the
Characteristic Polynomial . . . . . . . 29--37
M. Weisfeld Orthogonal polynomials in several
variables . . . . . . . . . . . . . . . 38--40
A. J. Perlis and
K. Samelson Report on the algorithmic language ALGOL
by the ACM committee on programming
languages and the GAMM committee on
programming . . . . . . . . . . . . . . 41--60
Lothar Collatz and
J. Schroeder Einschließen der Lösungen von
Randwertaufgaben. (German) [Bracketing
Solutions to Boundary Value Problems] 61--72
W. Dueck Eine Fehlerabschätzung zum
Einzelschrittverfahren bei linearen
Gleichungssystemen. (German) [An Error
Bound for the Independent Step Method in
Linear Equation Systems] . . . . . . . . 73--77
Erwin Kreyszig and
John Todd The radius of univalence of the error
function . . . . . . . . . . . . . . . . 78--89
Stig Comét Über die Anwendung von Binärmodellen in
der Theorie der Charaktere der
symmetrischen Gruppen. (German) [On the
use of the Binary Model in the Theory of
Characters of Symmetric Groups] . . . . 90--109
A. Walther and
H. Schappert Numerische Behandlung des
Gelenkvierecks. (German) [Numerical
Treatment of General Quadrilaterals] . . 110--120
Harvey Cohn Numerical study of the representation of
a totally positive quadratic integer as
the sum of quadratic integral squares 121--134
G. Bertram Verschärfung einer Fehlerabschätzung zum
Ritz--Galerkinschen Verfahren von
Kryloff für Randwertaufgaben. (German)
[Tightening of an Error Bound for the
Ritz--Galerkin Method for Krylov
Boundary Value Problems] . . . . . . . . 135--141
P. Wynn On the propagation of error in certain
non-linear algorithms . . . . . . . . . 142--149
J. H. Wilkinson The evaluation of the zeros of
ill-conditioned polynomials. I . . . . . 150--166
J. H. Wilkinson The evaluation of the zeros of
ill-conditioned polynomials. II . . . . 167--180
G. Bertram Eine Fehlerabschätzung für gewisse
selbstadjungierte, gewöhnliche
Randwertaufgaben. (German) [An error
estimate for certain adjoint ordinary
boundary value problems] . . . . . . . . 181--185
Heinz-Otto Kreiss Über die Differenzapproximation hoher
Genauigkeit bei Anfangswertproblemen für
partielle Differentialgleichungen.
(German) [On the difference
approximation of higher accuracy with
initial value problems for partial
differential equations] . . . . . . . . 186--202
P. Wynn A sufficient condition for the
instability of the q-d algorithm . . . . 203--207
F. L. Bauer and
H. J. Stetter Zur numerischen Fourier--Transformation.
(German) [The numerical Fourier
transform] . . . . . . . . . . . . . . . 208--220
P. C. Sikkema Über den Grad der Approximation mit
Bernstein--Polynomen. (German) [On the
degree of approximation with Bernstein
polynomials] . . . . . . . . . . . . . . 221--239
Seymour V. Parter On ``two-line'' iterative methods for
the Laplace and biharmonic difference
equations . . . . . . . . . . . . . . . 240--252
E. W. Cheney and
A. A. Goldstein Newton's method for convex programming
and Tchebycheff approximation . . . . . 253--268
E. W. Dijkstra A note on two problems in connexion with
graphs . . . . . . . . . . . . . . . . . 269--271
P. Wynn Converging factors for continued
fractions. Part I . . . . . . . . . . . 272--307
P. Wynn Converging factors for continued
fractions. Part II . . . . . . . . . . . 308--320
E. Stiefel Note on Jordan elimination, linear
programming and Tchebyscheff
approximation . . . . . . . . . . . . . 1--17
W. Wetterling Zum Einschließungssatz von
Kryloff-Bogoliubov für allgemeine
Eigenwertaufgaben bei gewöhnlichen
Differentialgleichungen. (German) [An
enclosure theorem of Kryloff-Bogoliubov
for ordinary eigenvalue problems in
ordinary differential equations] . . . . 18--21
Tosio Kato Estimation of Iterated Matrices, with
Application to the von Neumann Condition 22--29
T. E. Hull and
W. A. J. Luxemburg Numerical methods and existence theorems
for ordinary differential equations . . 30--41
F. L. Bauer and
A. S. Householder Moments and Characteristic Roots . . . . 42--53
G. Bertram Berichtigung zu meinen Arbeit
,,Verschärfung einer Fehlerabschätzung
\ldots [Num. Math. \bf 1, 135--141
(1959)]. (German) [Correction to my
Paper ``Tightening of an Error Bound
\ldots''] . . . . . . . . . . . . . . . 54--54
A. S. Householder and
F. L. Bauer On Certain Iterative Methods for Solving
Linear Systems . . . . . . . . . . . . . 55--59
N. J. Lehmann Eine Fehlerabschätzung zum Ritzschen
Verfahren für inhomogene
Randwertaufgaben. (German) [An Error
Bound for the Ritz Method for
Inhomogeneous Boundary Value Problems] 60--66
Robert L. Causey and
Peter Henrici Convergence of approximate eigenvectors
in Jacobi methods . . . . . . . . . . . 67--78
W. Börsch-Supan Bemerkungen zur Fehlerabschätzung beim
Ritz--Galerkin-Verfahren nach Krylow.
(German) [Remark on the Error Bounds of
the Ritz--Galerkin Method of Krylov] . . 79--83
J. H. Halton On the efficiency of certain
quasi-random sequences of points in
evaluating multi-dimensional integrals 84--90
Jim Douglas A numerical method for the solution of a
parabolic system . . . . . . . . . . . . 91--98
L. Veidinger On the numerical determination of the
best approximations in the Chebyshev
sense . . . . . . . . . . . . . . . . . 99--105
J. W. Backus and
F. L. Bauer and
J. Green and
C. Katz and
J. McCarthy and
P. Naur and
A. J. Perlis and
H. Rutishauser and
K. Samelson and
B. Vauquois and
J. H. Wegstein and
A. van Wijngaarden and
M. Woodger Report on the algorithmic language Algol
60 . . . . . . . . . . . . . . . . . . . 106--136
F. L. Bauer and
C. T. Fike Norms and Exclusion Theorems . . . . . . 137--141
H. Maehly and
Ch. Witzgall Tschebyscheff-Approximationen in kleinen
Intervallen. I. (German) [Chebyshev
Approximations in Small Intervals. I] 142--150
G. Freud Nachtrag bei der Korrektur. (German)
[Supplement with correction] . . . . . . 150--150
Peter Wynn Über einen Interpolations-Algorithmus und
gewisse andere Formeln, die in der
Theorie der Interpolation durch
rationale Funktionen bestehen. (German)
[On interpolation algorithms and certain
other formulas existing in the
interpolations theory by rational
functions] . . . . . . . . . . . . . . . 151--182
H. Brakhage Über die numerische Behandlung von
Integralgleichungen nach der
Quadraturformelmethode. (German) [On the
Numerical Treatment of Integral
Equations for the Quadrature Formula
Method] . . . . . . . . . . . . . . . . 183--196
J. H. Halton Berichtigung: ``On the efficiency of
certain quasi-random sequences of points
in evaluating multi-dimensional
integrals'' [Num. Math. \bf 2, 84--90
(1960)]. (German) [Correction] . . . . . 196--196
C. W. Clenshaw and
A. R. Curtis A method for numerical integration on an
automatic computer . . . . . . . . . . . 197--205
C. G. Esseen Über die asymptotisch beste Approximation
stetiger Funktionen mit Hilfe von
Bernstein-Polynomen. (German) [On the
Asymptotically Best Approximation of
Continuous Functions with the Aid of
Berstein Polynomials] . . . . . . . . . 206--213
Herbert E. Salzer Optimal points for numerical
differentiation . . . . . . . . . . . . 214--227
Wilhelm Magnus and
Leon Kotin The zeros of the Hankel function as a
function of its order . . . . . . . . . 228--244
Rudolf F. Albrecht Approximation to the solution of partial
differential-equations by the solution
of ordinary differential-equations . . . 245--262
Heinz Rutishauser Bemerkungen zur numerischen Integration
gewöhnlicher Differentialgleichungen
$n$-ter Ordnung. (German) [Remark on the
Numerical Integration of $n$-th Order
Ordinary Differential Equations] . . . . 263--279
J. Neubüser Untersuchungen des Untergruppenverbandes
endlicher Gruppen auf einer
programmgesteuerten elektronischen
Dualmaschine. (German) [Investigation of
Subroup Units of Finite Groups with a
Programmable Electronic Dual Machine] 280--292
H. Maehly and
Ch. Witzgall Tschebyscheff-Approximationen in kleinen
Intervallen. II: Stetigkeitssätze für
gebrochen rationale Approximationen.
(German) [Chebyshev Approximations in
Small Intervals. II. Stability
Conditions for Broken Rational
Approximations] . . . . . . . . . . . . 293--307
F. L. Bauer and
A. S. Householder Some inequalities involving the
Euclidean condition of a matrix . . . . 308--311
E. W. Dijkstra Recursive programming . . . . . . . . . 312--318
J. H. Wilkinson Error Analysis of Floating-Point
Computation . . . . . . . . . . . . . . 319--340
Hans-Lothar Haas Bestimmung der Eigenwerte des
allgemeinen Eigenwertproblems. (German)
[Determination of the eigenvalues of the
general eigenvalue problem] . . . . . . 341--343
Andreas H. Schopf On the Kantorovich inequality . . . . . 344--346
Harvey Cohn A numerical study of Weber's real class
number calculation. Part I . . . . . . . 347--362
N. J. Lehmann Das inhomogene natürliche Randwertproblem
und Fehlerabschätzungen für
Näherungslösungen. (German) [The
Inhomogeneous Natural Boundary Value
Problem and Error Bounds for Approximate
Solution] . . . . . . . . . . . . . . . 1--29
Friedrich Wilhelm Schäfke Ein Verfahren zur Berechnung des
charakteristischen Exponenten der
Mathieuschen Differentialgleichung. I.
(German) [A Method for Calculation of
Characteristic Exponents of the Mathiew
Differential Equation. I] . . . . . . . 30--38
Johann Schröder Fehlerabschätzung mit Rechenanlagen bei
gewönlichen Differentialgleichungen
erster Ordnung. (German) [Computational
error bounds for first-order ordinary
differential equations] . . . . . . . . 39--61
A. Schönhage Fehlerfortpflanzung bei Interpolation.
(German) [Error Transmission in
Interpolation] . . . . . . . . . . . . . 62--71
E. W. Cheney and
H. L. Loeb Two new algorithms for rational
approximation . . . . . . . . . . . . . 72--75
Yudell L. Luke The radius of univalence of the function
exp $z^2 \int_0^z$ exp $(-t^2) dt$ . . . 76--78
E. Karst Faktorenzerlegung Mersennescher Zahlen
mittels programmgesteuerter Rechengeräte.
(German) [Factorization of Mersenne
Numbers with Programmable Computers] . . 79--86
Göran Kjellberg On the successive over-relaxation method
for cyclic operators . . . . . . . . . . 87--91
J. Douglas, Jr. Alternating direction iteration for
mildly nonlinear elliptic difference
equations . . . . . . . . . . . . . . . 92--98
Lothar Collatz Monotonie und Extremalprinzipien beim
Newtonschen Verfahren. (German)
[Monotonicty and Extremal Principles of
Newton Methods] . . . . . . . . . . . . 99--106
P. C. Sikkema Der Wert einiger Konstanten in der
Theorie der Approximation mit
Bernstein-Polynomen.. (German) [The
Value of Some Constants in the
Approximation Theory for Bernstein
Polynomials] . . . . . . . . . . . . . . 107--116
F. L. Bauer A further generalization of the
Kantorovic inequality . . . . . . . . . 117--119
Herbert E. Salzer Some extensions of Bairstow's method . . 120--124
Johann Schröder Verbesserung einer Fehlerabschätzung für
gewöhnliche Differentialgleichungen
erster Ordnung. (German) [Improvement of
error bounds for first-order ordinary
differential equations] . . . . . . . . 125--130
Rudolf Albrecht and
Wolfram Ulrich Ein Differenzenverfahren zur
näherungsweisen Lösung des
Anfangswertproblems für Systeme
halblinearer partieller
Differentialgleichungen. 1. Ordnung.
(German) [A Difference Equation for
Approximate Solution of Initial Value
Problems for Half-Linear Partial
Differential Equations. 1. Order] . . . 131--146
Gene H. Golub and
Richard S. Varga Chebyshev Semi-Iterative Methods,
Successive Overrelaxation Iterative
Methods, and Second Order Richardson
Iterative Methods. I . . . . . . . . . . 147--156
Gene H. Golub and
Richard S. Varga Chebyshev Semi-Iterative Methods,
Successive Overrelaxation Iterative
Methods, and Second Order Richardson
Iterative Methods. II . . . . . . . . . 157--168
L. C. Hsu Note on the numerical integration of
periodic functions and of partially
periodic functions . . . . . . . . . . . 169--173
H. Brakhage Zur Fehlerabschätzung für die numerische
Eigenwertbestimmung bei
Integralgleichungen. (German) [Toward
Error Bounds for Numerical Eigenvalue
Determination in Integral Equations] . . 174--179
J. Descloux Dégénérescence dans les approximations de
Tschebyscheff linéaires et discr\`etes.
(French) [Degeneration in Linear and
Discrete Chebyshev Approximations] . . . 180--187
J. Albrecht Fehlerabschätzungen bei
Relaxationsverfahren zur numerischen
Auflösung linearer Gleichungssysteme.
(German) [Error Bounds for the
Relaxation Method for Numerical Solution
of Linear Equation Systems] . . . . . . 188--201
M. Blum A stagewise parameter estimation
procedure for correlated data . . . . . 202--208
Stefan Bergman and
John G. Herriot Application of the method of the kernel
function for solving boundary- value
problems . . . . . . . . . . . . . . . . 209--225
Peter Läuchli Jordan-Elimination und Ausgleichung nach
kleinsten Quadraten. (German) [Jordan
elimination and balancing using least
squares] . . . . . . . . . . . . . . . . 226--240
F. L. Bauer and
A. S. Householder Absolute norms and characteristic roots 241--246
H. Fisser Some tests applied to pseudo-random
numbers generated by v. Hörner's rule . . 247--249
H. Felsch Programmierung der Restklassenabzählung
einer Gruppe nach Untergruppen. (German)
[Programming of Residue Classes of a
Group via its Subgroups] . . . . . . . . 250--256
F. L. Bauer and
J. Stoer and
C. Witzgall Absolute and Monotonic Norms . . . . . . 257--264
Werner Liniger On a Method by D. H. Lehmer for the
Generation of Pseudo Random Numbers . . 265--270
J. Neubüser Bestimmung der Untergruppenverbände
endlicher $p$-Gruppen auf einer
programmgesteuerten elektronischen
Dualmaschine. (German) [Determination of
subgroups of finite $p$-groups on a
program-controlled electronic Dual
machine] . . . . . . . . . . . . . . . . 271--278
P. C. Chakravarti Truncation error in interpolation and
numerical differentiation . . . . . . . 279--284
Josef Stoer Über zwei Algorithmen zur Interpolation
mit rationalen Funktionen. (German) [On
two algorithms for interpolation with
rational functions] . . . . . . . . . . 285--304
Seymour V. Parter ``Multi-line'' iterative methods for
elliptic difference equations and
fundamental frequencies . . . . . . . . 305--319
Herbert E. Salzer and
R. Zurmühl Some extensions of Bairstow's method . . 320--320
Hans J. Stetter On the convergence of characteristic
finite-difference methods of high
accuracy for quasi-linear hyperbolic
equations . . . . . . . . . . . . . . . 321--344
J. Albrecht Monotone Iterationsfolgen und ihre
Verwendung zur Lösung linearer
Gleichungssysteme. (German) [Monotonic
iteration sequences and their use in
solving sets of linear equations] . . . 345--358
Walter L. Wilson On discrete Dirichlet and plateau
problems . . . . . . . . . . . . . . . . 359--373
A. Schönhage Zur Konvergenz des Jacobi--Verfahrens.
(German) [On the convergence of the
Jacobi method] . . . . . . . . . . . . . 374--380
Walter Gautschi Numerical integration of ordinary
differential equations based on
trigonometric polynomials . . . . . . . 381--397
Milton Lees Alternating direction and semi-explicit
difference methods for parabolic partial
differential equations . . . . . . . . . 398--412
Friedrich Wilhelm Schäfke and
Rudolf Ebert and
Helmut Groh Ein Verfahren zur Berechnung des
charakteristischen Exponenten der
Mathieuschen Differentialgleichung. II.
(German) [A Method for Calculation of
Characteristic Exponents of the Mathiew
Differential Equation. II] . . . . . . . 1--7
P. Wynn A comparison technique for the numerical
transformation of slowly convergent
series based on the use of rational
functions . . . . . . . . . . . . . . . 8--14
Hans Schneider and
W. Gilbert Strang Comparison Theorems for Supremum Norms 15--20
P. Treuenfels Schranken für Lösungen von
Randwertaufgaben. (German) [Bounds for
Solution of Boundary Value Problems] . . 21--23
Peter Henrici Bounds for Iterates, Inverses, Spectral
Variation and Fields of Values of
Non-Normal Matrices . . . . . . . . . . 24--39
Jim Douglas, Jr. Alternating direction methods for three
space variables . . . . . . . . . . . . 41--63
F. W. Schäfke and
H. Groh Zur Berechnung der Eigenwerte der
Mathieuschen Differentialgleichung.
(German) [Toward Computation of
Eigenvalues of the Mathieu Differential
Equation] . . . . . . . . . . . . . . . 64--67
R. D. Richtmyer and
Marjorie Devaney and
N. Metropolis Continued fraction expansions of
algebraic numbers . . . . . . . . . . . 68--84
E. Frank On continued fraction expansions for
binomial quadratic surds . . . . . . . . 85--95
J. Douglas, Jr. and
B. F. Jones, Jr. Numerical methods for
integrodifferential equations of
parabolic and hyperbolic types . . . . . 96--102
F. L. Bauer On the field of values subordinate to a
norm . . . . . . . . . . . . . . . . . . 103--113
Betty Jane Stone Best Possible Ratios of Certain Matrix
Norms . . . . . . . . . . . . . . . . . 114--116
Walter Gautschi On Inverses of Vandermonde and Confluent
Vandermonde Matrices . . . . . . . . . . 117--123
E. W. Cheney and
H. L. Loeb On rational Chebyshev approximation . . 124--127
Frank Harary A graph theoretic approach to matrix
inversion by partitioning . . . . . . . 128--135
Hirofumi Morimoto Stability in the wave equation coupled
with heat flow . . . . . . . . . . . . . 136--145
A. A. Goldstein Cauchy's method of minimization . . . . 146--150
Wolfgang Lindenberg Über eine Darstellung von
Gruppenelementen in digitalen
Rechenautomaten. (German) [On a
representation of group elements in
computers] . . . . . . . . . . . . . . . 151--153
Helmut Werner Ein Satz über diskete
Tschebyscheff-Approximation bei
gebrochen linearer Funktionen. (German)
[A proposition on the discrete Chebyshev
approximation of broken linear
functions] . . . . . . . . . . . . . . . 154--157
J. Stoer and
C. Witzgall Transformations by Diagonal Matrices in
a Normed Space . . . . . . . . . . . . . 158--171
C. Pearcy On convergence of alternating direction
procedures . . . . . . . . . . . . . . . 172--176
R. C. Buck Stochastic ascent . . . . . . . . . . . 177--186
John Greenstadt Some numerical experiments in
triangularizing matrices . . . . . . . . 187--195
Julius Albrecht Fehlerschranken und
Konvergenzbeschleunigung bei einer
monotonen oder alternierenden
Iterationsfolge. (German) [Error Bounds
and Convergence Acceleration with a
Monotone or Alternating Iteration
Sequence] . . . . . . . . . . . . . . . 196--208
Tse-Sun Chow and
Harold W. Milnes Solution of Laplace's equation by
boundary contraction over regions of
irregular shape . . . . . . . . . . . . 209--225
W. Uhlmann Über den Fehler bei Differenzenverfahren
für die Poissonsche
Differentialgleichung. (German) [On the
Bound of Difference Method for Poisson
Differential Equation] . . . . . . . . . 226--237
J. F. Benders Partitioning procedures for solving
mixed-variables programming problems . . 238--252
R. F. Albrecht and
W. Urich Numerical treatment of the initial value
problem for systems of quasilinear
partial differential equations of first
order . . . . . . . . . . . . . . . . . 253--261
Johannes C. C. Nitsche Über die Abhängigkeit der
Tschebyscheffschen Approximierenden
einer differenzierbaren Funktion vom
Intervall. (German) [On the relation of
Chebyshev approximations for a
differentiable interval function] . . . 262--276
Seymour V. Parter Stability, convergence, and
pseudo-stability of finite-difference
equations for an over-determined problem 277--292
Seymour V. Parter An observation on the numerical solution
of difference equations and a theorem of
Szeg\Ho . . . . . . . . . . . . . . . . 293--295
J. H. Wilkinson Note on the quadratic convergence of the
cyclic Jacobi process . . . . . . . . . 296--300
Jim Douglas, Jr. A correction to my paper ``Alternating
direction iteration for mildly nonlinear
elliptic difference equations'' . . . . 301--302
Evelyn Frank On continued fraction expansion for
binomial quadratic surds. II . . . . . . 303--309
Friedrich Wilhelm Schäfke and
Helmut Groh Zur Berechnung der Eigenwerte der
Sphäroiddifferentialgleichung. (German)
[On the Calculation of the Eigenvalues
of the Spheroidal Differential Equation] 310--312
J. H. Bramble and
B. E. Hubbard On the formulation of finite difference
analogues of the Dirichlet problem for
Poisson's equation . . . . . . . . . . . 313--327
Walter L. Wilson, Jr. $d$-minimal surfaces spanning polygons
in $E_n$ by solving a linear system . . 328--329
L. C. Hsu On the numerical integration of
non-periodic functions of several
variables . . . . . . . . . . . . . . . 330--335
C. Brenner and
J. L. Brenner The popularity of small integers as
primitive roots . . . . . . . . . . . . 336--342
Chandler Davis The norm of the Schur product operation 343--344
T. J. Rivlin Polynomials of best uniform
approximation to certain rational
functions . . . . . . . . . . . . . . . 345--349
Marvin Marcus An inequality connecting the
$P$-condition number and the determinant 350--353
J. H. Wilkinson Householder's method for symmetric
matrices . . . . . . . . . . . . . . . . 354--361
J. H. Wilkinson Calculation of the eigenvalues of a
symmetric tridiagonal matrix by the
method of bisection . . . . . . . . . . 362--367
J. H. Wilkinson Calculation of the eigenvectors of a
symmetric tridiagonal matrix by inverse
iteration . . . . . . . . . . . . . . . 368--376
R. Zurmühl Bemerkungen zum Verfahren von
Hessenberg. (German) [Remark on a Method
of Hessenberg] . . . . . . . . . . . . . 377--380
Herbert E. Salzer Equally-weighted formulas for numerical
differentiation . . . . . . . . . . . . 381--392
Klaus Wohlfahrt Über die Berechnung der
Periodenverhältnisse elliptischer
Gebilde. (German) [On the Calculation of
the Relationship of the Periods of
Elliptic Structures] . . . . . . . . . . 393--397
H. Nagler On a property of simplex tableaux in the
transportation problem . . . . . . . . . 398--402
C. W. Clenshaw and
G. F. Miller and
M. Woodger Algorithms for special functions. I . . 403--419
J. W. Backus and
F. L. Bauer and
J. Green and
C. Katz and
J. McCarthy and
P. Naur and
A. J. Perlis and
H. Rutishauser and
K. Samelson and
B. Vauquois and
J. H. Wegstein and
A. van Wijngaarden and
M. Woodger Revised report on the algorithmic
language ALGOL 60 . . . . . . . . . . . 420--453
Gerhard Neubauer Eine empirische Untersuchung zur
Mertensschen Funktion. (German) [An
Empirical Investigation of the Merten
Function] . . . . . . . . . . . . . . . 1--13
Günter Meinardus Über eine Verallgemeinerung einer
Ungleichung von L. V. Kantorowitsch.
(German) [On a Generalization of an
Inequation of L. V. Kantorowitsch] . . . 14--23
Heinz-Otto Kreiss Über implizite Differenzmethoden für
partielle Differentialgleichungen.
(German) [On Implicit Difference Methods
for Partial Differential Equations] . . 24--47
H. Rutishauser Ausdehnung des Rombergschen Prinzips.
(German) [Extension of the Romberg
Principle] . . . . . . . . . . . . . . . 48--54
Robert Sauer Differenzenverfahren für hyperbolische
Anfangswertprobleme bei mehr als zwei
unabhängigen Veränderlichen mit Hilfe von
Nebencharakteristiken. (German)
[Difference Method for Hyperbolic
Initial Value Problems in More than Two
Independent Variables with the Aid of
Secondary Characteristics] . . . . . . . 55--67
Georg Aumann Über den Vergleichsfaktor bei linearen
Approximationsproblemen. (German) [On
the Comparison Factor for Linear
Approximation Problems] . . . . . . . . 68--72
F. L. Bauer Optimally Scaled Matrices . . . . . . . 73--87
George W. Struble Orthogonal polynomials: Variable-signed
weight functions . . . . . . . . . . . . 88--94
Heinz Rutishauser Stabile Sonderfälle des
Quotienten-Differenzen-Algorithmus.
(German) [Stable Special Cases of the
Quotient-Difference Algorithm] . . . . . 95--112
Evelyn Frank On continued expansions for binomial
quadratic surds. III . . . . . . . . . . 113--117
D. G. Aronson On the stability of certain finite
difference approximations to parabolic
systems of differential equations . . . 118--137
J. P. Imhof On the method for numerical integration
of Clenshaw and Curtis . . . . . . . . . 138--141
N. Gastinel Sur-decomposition de normes générales et
procédés iteratifs. (French) [Super
Decomposition of Generalized Norms and
Iterative Procedures] . . . . . . . . . 142--151
M. Stuart Lynn Some infra-max bounds for the spectral
radii of splittings of $ {H}$-matrices 152--174
J. Douglas, Jr. and
C. M. Pearcy On convergence of alternating direction
procedures in the presence of singular
operators . . . . . . . . . . . . . . . 175--184
Jean Descloux Bounds for the spectral norm of
functions of matrices . . . . . . . . . 185--190
Theo Ginsburg The conjugate gradient method . . . . . 191--200
Thomas I. Seidman On the stability of certain difference
schemes . . . . . . . . . . . . . . . . 201--210
James M. Ortega An Error Analysis of Householder's
Method for the Symmetric Eigenvalue
Problem . . . . . . . . . . . . . . . . 211--225
Günther Haemmerlin Über ableitungsfreie Schranken für
Quadraturfehler. (German) [On
Derivative-Free Bounds for Quadrature
Error] . . . . . . . . . . . . . . . . . 226--233
A. S. Householder and
John A. Carpenter The singular values of involutory and of
idempotent matrices . . . . . . . . . . 234--237
Alexander Weinstein On the Sturm--Liouville theory and the
eigenvalues of intermediate problems . . 238--245
N. J. Lehmann Optimale Eigenwerteinschliessungen.
(German) [Optimal Eigenvalue Inclusion] 246--272
H. Rutishauser and
H. R. Schwarz The $ L R $ transformation method for
symmetric matrices . . . . . . . . . . . 273--289
D. G. Aronson A Correction to the Paper ``On the
stability of certain finite difference
approximations to parabolic systems of
differential equations'' [Num. Math. \bf
5, 118--137 (1963)] . . . . . . . . . . 290--290
D. J. Hofsommer and
R. van de Riet On the numerical calculation of elliptic
integrals of the first and second kind
and the elliptic functions of Jacobi . . 291--302
A. Schönhage Optimale Punkte für Differentiation und
Integration. (German) [Optimal Points
for Differentiation and Integration] . . 303--331
P. Wynn Note on a converging factor for a
certain continued fraction . . . . . . . 332--352
Willi Törnig Über Differenzverfahren in
Rechteckgittern zur numerischen Lösung
quasilinearer hyperbolischer
Differentialgleichungen. (German) [On
the Difference Method in Rectangular
Grid for the Numerical Solution of
Quasilinear Hyperbolic Differential
Equations] . . . . . . . . . . . . . . . 353--370
J. Stoer Duality in nonlinear programming and the
minimax theorem . . . . . . . . . . . . 371--379
W. Börsch-Supan A Posteriori Error Bounds for the Zeros
of Polynomials . . . . . . . . . . . . . 380--398
Hans J. Stetter Maximum bounds for the solutions of
initial value problems for partial
difference equations . . . . . . . . . . 399--424
Walter Gautschi On Inverses of Vandermonde and Confluent
Vandermonde Matrices. II . . . . . . . . 425--430
A. A. Goldstein On the stability of rational
approximation . . . . . . . . . . . . . 431--438
H. C. Kranzer An error formula for numerical
differentiation . . . . . . . . . . . . 439--442
R. Ansorge Die Adams--Verfahren als
Charakteristikenverfahren höherer Ordnung
zur Lösung von hyperbolischen Systemen
halblinearer Differentialgleichungen.
(German) [The Adams method for
characteristic procedures of higher
order for the solution of hyperbolic
systems of half-linear differential
equations] . . . . . . . . . . . . . . . 443--460
R. Zurmühl Zur angenäherten ganzrationalen
Tschebyscheff-Approximation mit Hilfe
trigonometrischer Interpolation.
(German) [Toward Approximate Fairly
Rational Chebyshev Approximation with
the Aid of Trigonometric Interpolation] 1--5
R. Bulirsch Bemerkungen zur Romberg-Integration.
(German) [Remark on Romberg Integration] 6--16
J. Eve The evaluation of polynomials . . . . . 17--21
P. Wynn General purpose vector epsilon algorithm
ALGOL procedures . . . . . . . . . . . . 22--36
G. Strang Accurate partial difference methods. II:
Non-linear problems . . . . . . . . . . 37--46
A. A. Goldstein and
R. B. Kripke Mathematical Programming by Minimizing
Differentiable Functions . . . . . . . . 47--48
J. H. Bennett Integral equation methods for transport
problems. Some numerical results . . . . 49--54
J. Stoer Über einen Dualitätssatz der nichtlinearen
Programmierung. (German) [On a duality
theorem of nonlinear programming] . . . 55--58
T. Tsuda and
T. Kiyono Application of the Monte Carlo method to
systems of nonlinear algebraic equations 59--67
H. E. Salzer Divided differences for functions of two
variables for irregularly spaces
arguments . . . . . . . . . . . . . . . 68--77
Jochen W. Schmidt Ausgangsvektoren für monotone Iterationen
bei linearen Gleichungsystemen. (German)
[Starting vectors for monotone
iterations of linear equation systems] 78--88
J. Patry and
J. Keller Zur Berechnung des Fehlerintegrals.
(German) [Toward the Computation of
Error Integrals] . . . . . . . . . . . . 89--97
A. W. Marshall and
I. Olkin Inclusion theorems for eigenvalues from
probability inequalities . . . . . . . . 98--102
Bernard R. Kripke Best approximation with respect to
nearby norms . . . . . . . . . . . . . . 103--105
L. A. Hageman and
R. S. Varga Block iterative methods for cyclically
reduced matrix equations . . . . . . . . 106--119
B. R. Heap and
M. S. Lynn The index of primitivity of a
non-negative matrix . . . . . . . . . . 120--141
G. J. Tee An application of $p$-cyclic matrices,
for solving periodic parabolic problems 142--159
L. Bittner Über ein mehrstufiges Iterationsverfahren
zur Lösung von linearen Gleichungen.
(German) [On a More Layered Iteration
Method for Solution of Linear Equations] 161--180
J. E. Gunn The numerical solution of $\nabla\cdot
a\nabla u = f$ by a semi-explicit
alternating-direction iterative
technique . . . . . . . . . . . . . . . 181--184
R. Lynch and
J. Rice and
D. Thomas Direct solution of partial difference
equations by tensor product methods . . 185--199
D. Suschowk Difference analogues of Green's
identities for grids in $R^n$ . . . . . 200--210
F. Briones On the alternants appearing in
Chebyshev's best approximation problem 211--223
Rainer Ansorge Zur Struktur gewisser
Konvergenzkriterien bei der numerischen
Lösung von Anfangswertaufgaben. (German)
[On the structure of some convergence
criteria for numerical solving of
certain initial value problems] . . . . 224--234
B. Boehm Functions whose best rational Chebyshev
approximation are polynomials . . . . . 235--242
J. E. Gunn On the two-stage iterative method of
Douglas for mildly non-linear elliptic
difference equations . . . . . . . . . . 243--249
J. B. Rosen Primal partition programming for block
diagonal matrices . . . . . . . . . . . 250--260
D. C. Handscomb Remarks on a Monte Carlo integration
method . . . . . . . . . . . . . . . . . 261--268
C. G. Broyden Some generalisations of the theory of
successive over-relaxation . . . . . . . 269--284
A. Mitchell and
G. Fairweather Improved forms of the alternating
direction methods of Douglas, Peaceman,
and Rachford for solving parabolic and
elliptic equations . . . . . . . . . . . 285--292
Ch.L. Lawson Characteristic properties of the
segmented rational minmax approximation
problem . . . . . . . . . . . . . . . . 293--301
J. Stoer On the characterization of least upper
bound norms in matrix space . . . . . . 302--314
H. Wilf Exactness conditions in numerical
quadrature . . . . . . . . . . . . . . . 315--319
Siegfried Filippi Angenäherte Tschebyscheff-Approximation
einer Stammfunktion des Verfahrens von
Clenshaw und Curtis. (German) [Chebyshev
Approximation of a Primitive Function of
the Clenshaw--Curtis Methods] . . . . . 320--328
A. G. Azpeitia and
D. J. Dickinson A decision rule in the simplex method
that avoids cycling . . . . . . . . . . 329--331
A. Schneider Bemerkungen zur numerischen
Differentiation. (German) [Remark on
numerical differentiation] . . . . . . . 332--334
M. Buchmann A condition for uniform Jordanization of
a family of triangular matrices . . . . 335--345
B. R. Heap and
M. S. Lynn A graph-theoretic algorithm for the
solution of a linear Diophantine problem
of Frobenius . . . . . . . . . . . . . . 346--354
N. Nirschl and
H. Schneider The Bauer fields of values of a matrix 355--365
R. S. Varga On smallest isolated Gerschgorin disks
for eigenvalues . . . . . . . . . . . . 366--376
P. Lancaster On eigenvalues of matrices dependent on
a parameter . . . . . . . . . . . . . . 377--387
P. Lancaster Algorithms for lambda-matrices . . . . . 388--394
H. J. Weinitschke Über eine Klasse von Iterationsverfahren.
(German) [On a Class of Iteration
Methods] . . . . . . . . . . . . . . . . 395--404
W. Oettli and
W. Prager Compatibility of Approximate Solution of
Linear Equations With Given Error Bounds
for Coefficients and Right-Hand Sides 405--409
L. Gerhards and
W. Lindenberg Ein Verfahren zur Berechnung des
vollständigen Untergruppenverbandes
endlicher Gruppen auf Dualmaschinen.
(German) [A Method for Calculation of
the Complete Collection of Subgroups of
Finite Groups from Dual Machines] . . . 1--10
Hans Schneider Positive operators and an inertia
theorem . . . . . . . . . . . . . . . . 11--17
Hans J. Stetter Asymptotic expansions for the error of
discretization algorithms for non-
linear functional equations . . . . . . 18--31
Dietrich Braess Monotone Iterationsfolgen bei
Gleichungssystemen mit fehlerhaften
Koeffizienten und
Iterationsbeschleunigung. (German)
[Monotone Iteration Sequences for
Equation Systems with Coefficients
Having Errors, and Iteration
Acceleration] . . . . . . . . . . . . . 32--41
Stefan Bergmann and
John G. Herriot Numerical solution of boundary-value
problems by the method of integral
operators . . . . . . . . . . . . . . . 42--65
J. S. Maybee Some structural theorems for partial
difference operators . . . . . . . . . . 66--72
G. W. Hedstrom The near-stability of the Lax--Wendroff
method . . . . . . . . . . . . . . . . . 73--77
Roland Bulirsch Numerical calculation of elliptic
integrals and elliptic functions . . . . 78--90
Keith Miller Numerical analogs to the Schwarz
alternating procedure . . . . . . . . . 91--103
N. Metropolis Algorithms in unnormalized arithmetic.
I: Recurrence relations . . . . . . . . 104--112
Seymour V. Parter Mildly nonlinear elliptic partial
differential equations and their
numerical solution. I . . . . . . . . . 113--128
Donald Greenspan and
Seymour V. Parter Mildly nonlinear elliptic partial
differential equations and their
numerical solution. II . . . . . . . . . 129--146
Dietrich Marsal Eine Verallgemeinerung der Summenformel
von Euler und ihre Anwendung auf
ausgewählte Probleme der numerischen
Integration. (German) [A Generalization
of Euler's Summation Formula and its Use
for Selected Problems of Numerical
Integration] . . . . . . . . . . . . . . 147--154
M. R. Osborne A note on the numerical solution of a
periodic parabolic problem . . . . . . . 155--158
A. L. Roark and
G. M. Wing A method for computing the eigenvalues
of certain integral equations . . . . . 159--170
John Todd On smallest isolated Gerschgorin disks
for eigenvalues . . . . . . . . . . . . 170--175
Bruno Brosowski Über die Eindeutigkeit der rationalen
Tschebyscheff-Approximationen. (German)
[On the uniqueness of rational Chebyshev
approximations] . . . . . . . . . . . . 176--186
Beresford Parlett Convergence of the $QR$ algorithm . . . 187--193
G. F. Miller Algorithms for special functions. II . . 194--196
Adriano M. Garsia Some bounds on best uniform linear
approximation . . . . . . . . . . . . . 197--205
G. H. Golub Numerical Methods for Solving Linear
Least Squares Problems . . . . . . . . . 206--216
John M. Bennett Triangular factors of modified matrices 217--221
H. P. Kuenzi and
H. Tzschach The duoplex-algorithm . . . . . . . . . 222--225
B. R. Heap and
M. S. Lynn On a linear Diophantine problem of
Frobenius: an improved algorithm . . . . 226--231
Günther Hämmerlin Über ableitungsfreie Schranken für
Quadraturfehler. II: Ergänzungen und
Möglichkeiten zur Verbesserung. (German)
[On constraints without derivatives for
quadrature errors. II: Completions and
possibilities to improve] . . . . . . . 232--237
James Alan Cochran The zeros of Hankel functions as
functions of their order . . . . . . . . 238--250
J. Focke Über die Multiplikativität von
Matrizennormen. (German) [On the
Multiplicability of Matrix Norms] . . . 251--254
N. Gastinel Propriétés de certains ensembles normes de
matrices. (French) [Properties of
Certain Matrix Norm Ensembles] . . . . . 255--260
W. P. Timlake An extension of the ${\Sigma}^2$
procedure . . . . . . . . . . . . . . . 261--268
Peter A. Businger and
Gene H. Golub Linear Least Squares Solutions by
Householder Transformations . . . . . . 269--276
Manfred Reimer Eine Fehlerabschätzung für lineare
Differenzenverfahren. (German) [An error
bound for linear difference methods] . . 277--285
H. Greenspan and
W. Hafner and
M. Ribaric On varying stepsize in numerical
integration of first order differential
equations . . . . . . . . . . . . . . . 286--291
T. L. Hayden Continued fraction approximation to
functions . . . . . . . . . . . . . . . 292--309
G. Németh Chebyshev expansions for Fresnel
integrals . . . . . . . . . . . . . . . 310--312
Victor Klee A class of linear programming problems
requiring a large number of iterations 313--321
Anthony Ralston Rational Chebyshev approximation by
Remes' algorithms . . . . . . . . . . . 322--330
F. L. Bauer An elementary proof of the Hopf
inequality for positive operators . . . 331--337
F. L. Bauer Elimination with Weighted Row
Combinations for Solving Linear
Equations and Least Squares Problems . . 338--352
Roland Bulirsch Numerical calculation of elliptic
integrals and elliptic functions. II . . 353--354
N. Metropolis Berichtigung: Algorithms in unnormalized
arithmetic. I: Recurrence relations . . 354--354
R. S. Martin and
J. H. Wilkinson Symmetric Decomposition of Positive
Definite Band Matrices . . . . . . . . . 355--361
R. S. Martin and
G. Peters and
J. H. Wilkinson Symmetric Decomposition of a Positive
Definite Matrix . . . . . . . . . . . . 362--383
Robert E. Barnhill Complex quadratures with remainders of
minimum norm . . . . . . . . . . . . . . 384--390
A. A. Goldstein On Newton's method . . . . . . . . . . . 391--393
A. L. Roark and
L. F. Shampine On paper of Roark and Wing . . . . . . . 394--395
Bruno Brosowski Über Extremalsignaturen linearer Polynome
in $n$ Veränderlichen. (German) [On the
extremal signature of linear polynomials
in $n$ variables] . . . . . . . . . . . 396--405
Francis J. Smith Quadrature methods based on the
Clenshaw--Curtis method of integration 406--411
Herbert B. Keller On the accuracy of finite difference
approximations to the eigenvalues of
differential and integral operators . . 412--419
S. M. Shah and
P. Suryanarayana Approximation of continuous functions by
power series with polynomial
coefficients . . . . . . . . . . . . . . 420--425
John R. Rice On the Conditioning of Polynomial and
Rational Forms . . . . . . . . . . . . . 426--435
Roland Bulirsch and
Josef Stoer Numerical treatment of ordinary
differential equations by extrapolation
methods . . . . . . . . . . . . . . . . 1--13
J. Legras Résolution numérique des grands syst\`emes
différentiels linéaires. (French)
[Numerical Solution of Large Systems of
Linear Differentials] . . . . . . . . . 14--28
B. Dejon Stronger than uniform convergence of
multistep difference methods . . . . . . 29--41
N. J. Lehmann Zur Verwendung optimaler
Eigenwerteingrenzungen bei der Lösung
symmetrischer Matrizenaufgaben. (German)
[On the Use of Optimal Eigenvalue
Enclosure for the Solution of Symmetric
Matrix Problems] . . . . . . . . . . . . 42--55
Bui Trong Liêü and
P. Huard La méthode des centres dans un espace
topologique. (French) [The Method of
Centers in a Topological Space] . . . . 56--67
Friedrich W. Schaefke and
Dieter Schmidt Ein Verfahren zur Berechnung des
charakteristischen Exponenten der
Mathieuschen Differentialgleichung. III.
(German) [A Method for Computation of
the Characteristic Exponent of Mathieu'
Differential Equation. III] . . . . . . 68--71
Dennis J. Mueller Householder's Method for Complex
Matrices and Eigensystems of Hermitian
Matrices . . . . . . . . . . . . . . . . 72--92
Roland Bulirsch and
Josef Stoer Asymptotic upper and lower bounds for
results of extrapolation methods . . . . 93--104
Jochen W. Schmidt Asymptotische Einschließung bei
konvergenzbeschleunigenden Verfahren.
(German) [Asymptotic bounds for
convergence accelerating methods] . . . 105--113
B. R. Heap Random matrices and graphs . . . . . . . 114--122
Boro Döring Inverse Interpolation bei den speziellen
Funktionen der mathematischen Physik.
(German) [Inverse interpolation in the
special functions of mathematical
physics] . . . . . . . . . . . . . . . . 123--136
A. R. Gourlay and
A. R. Mitchell Alternating direction methods for
hyperbolic systems . . . . . . . . . . . 137--149
Frank Stenger Bounds on the error of Gauss-type
quadratures . . . . . . . . . . . . . . 150--160
M. N. Spijker Convergence and stability of
step-by-step methods for the numerical
solution of initial-value problems . . . 161--177
Rainer Ansorge Zur Frage der Verallgemeinerung des
Äquivalenzsatzes von Lax. (German) [On
the Question of Generalization of the
Lax Equivalence Principles] . . . . . . 178--185
Olaf B. Widlund Stability of parabolic difference
schemes in the maximum norm . . . . . . 186--202
R. S. Martin and
G. Peters and
J. H. Wilkinson Iterative Refinement of the Solution of
a Positive Definite System of Equations 203--216
H. J. Bowdler and
R. S. Martin and
G. Peters and
J. H. Wilkinson Solution of Real and Complex Systems of
Linear Equations . . . . . . . . . . . . 217--234
Hans J. Stetter Numerical approximation of
Fourier-transforms . . . . . . . . . . . 235--249
John D. Lambert and
Brian Shaw A generalisation of multistep methods
for ordinary differential equations . . 250--263
P. Wynn Upon systems of recursions which obtain
among the quotients of the Padé table . . 264--269
Karl G. Guderley and
Paul J. Nikolai Reduction of two-point boundary value
problems in a vector space to initial
value problems by projection . . . . . . 270--289
Immo O. Kerner Ein Gesamtschrittverfahren zur
Berechnung der Nullstellen von
Polynomen. (German) [A Complete Step
Method for the Computation of Zeros of
Polynomials] . . . . . . . . . . . . . . 290--294
Ian Barrodale and
Andrew Young Algorithms for best $L_1$ and $L_\infty$
linear approximations on a discrete set 295--306
C. G. Broyden and
F. Ford An algorithm for the solution of certain
kinds of linear equations . . . . . . . 307--323
Tetsuro Yamamoto A computational method for the dominant
root of a nonnegative irreducible matrix 324--333
Günther Hämmerlin Zur Abschätzung von Quadraturfehlern für
analytische Funktionen. (German) [On
Bounds for Quadrature Error for Analytic
Funktions] . . . . . . . . . . . . . . . 334--344
J. Meinguet Methods for estimating the remainder in
linear rules of approximation.
Application to the Romberg algorithm . . 345--366
A. R. Gourlay and
A. R. Mitchell A stable implicit difference method for
hyperbolic systems in two space
variables . . . . . . . . . . . . . . . 367--375
Victor Pereyra On improving an approximate solution of
a functional equation by deferred
corrections . . . . . . . . . . . . . . 376--391
Rudolf Gorenflo and
Yehudith Kovetz Solution of an Abel-type integral
equation in the presence of noise by
quadratic programming . . . . . . . . . 392--406
W. S. Rudert and
H. G. Lill Über Partitionen und ein lineares
diophantisches Problem. (German) [On
partitions and a linear Diophantine
problem] . . . . . . . . . . . . . . . . 407--411
J. Ponstein Splitting certain eigenvalue/eigenvector
problems . . . . . . . . . . . . . . . . 412--421
W. W. Clendenin A method for numerical calculation of
Fourier integrals . . . . . . . . . . . 422--436
T. A. Porsching Diagonal similarity transformations
which isolate Gerschgorin disks . . . . 437--443
B. W. Ninham Generalised functions and divergent
integrals . . . . . . . . . . . . . . . 444--457
J. N. Lyness and
C. B. Moler Van der Monde Systems and Numerical
Differentiation . . . . . . . . . . . . 458--464
W. B. Gragg and
A. S. Householder On a Theorem of König . . . . . . . . . . 465--468
H. Rutishauser The Jacobi method for real symmetric
matrices . . . . . . . . . . . . . . . . 1--10
H. P. M. van Kempen On the convergence of the classical
Jacobi method for real symmetric
matrices with non-distinct eigenvalues 11--18
H. P. M. van Kempen On the quadratic convergence of the
special cyclic Jacobi method . . . . . . 19--22
L. B. Rall Convergence of the Newton process to
multiple solutions . . . . . . . . . . . 23--37
A. H. Stroud Some approximative integration formulas
of degree $3$ for an $n$-dimensional
simplex . . . . . . . . . . . . . . . . 38--45
A. S. Householder Separation theorems for normalizable
matrices . . . . . . . . . . . . . . . . 46--50
M. L. Buchanan and
B. N. Parlett The uniform convergence of matrix powers 51--54
P. Lancaster Error analysis for the Newton--Raphson
method . . . . . . . . . . . . . . . . . 55--68
Karl Nickel Über die Notwendigkeit einer
Fehlerschranken-Arithmetik für
Rechenautomaten. (German) [On the Need
for Interval Arithmetic on Computers] 69--79
Karl Nickel Die numerische Berechnung der Wurzeln
eines Polynoms. (German) [The Numerical
Computation of Polynomial Roots] . . . . 80--98
James W. Daniel Correcting approximations to multiple
roots of polynomials . . . . . . . . . . 99--102
H. Rutishauser Bestimmung der Eigenwerte orthogonaler
Matrizen. (German) [Determination of the
Eigenvalues of Orthogonal Matrices] . . 104--108
Miroslav Fiedler Matrix inequalities . . . . . . . . . . 109--119
Peter Henrici and
Pia Pflüger Truncation error estimates for Stieltjes
fractions . . . . . . . . . . . . . . . 120--138
G. H. Golub and
J. H. Wilkinson Note on the Iterative Refinement of
Least Squares Solution . . . . . . . . . 139--148
Johann Schröder Operator-Ungleichungen und ihre
numerische Anwendung bei
Randwertaufgaben. (German) [Operator
inequalities and their numerical use in
boundary value problems] . . . . . . . . 149--162
Miroslav Fiedler and
Vlastimil Pták Some generalizations of positive
definiteness and monotonicity . . . . . 163--172
F. L. Bauer Inclusion sets for roots of polynomials 173--176
W. J. Cody and
J. Stoer Rational Chebyshev approximations using
interpolation . . . . . . . . . . . . . 177--188
F. Robert Recherche d'une $M$-matrice parmi les
minorantes d'un opérateur linéaire.
(French) [Search for an $M$-Matrix among
the Minorants of a Linear Operator] . . 189--199
Frank Stenger Error bounds for the evaluation of
integrals by repeated Gauss-type
formulae . . . . . . . . . . . . . . . . 200--213
B. Penkov and
Bl. Sendov Hausdorffsche Metrik und
Approximationen. (German) [Hausdorff
Metric and Approximations] . . . . . . . 214--226
Victor Klee A comparison of primal and dual methods
of linear programming . . . . . . . . . 227--235
James H. Bramble A second order finite difference analog
of the first biharmonic boundary value
problem . . . . . . . . . . . . . . . . 236--249
George T. Symm An integral equation method in conformal
mapping . . . . . . . . . . . . . . . . 250--258
W. W. Bradbury and
R. Fletcher New Iterative Methods for Solution of
the Eigenproblem . . . . . . . . . . . . 259--267
B. Dejon Addendum to ``stronger than uniform
convergence of multistep difference
methods'' . . . . . . . . . . . . . . . 268--270
Roland Bulirsch and
Josef Stoer Numerical quadrature by extrapolation 271--278
R. S. Martin and
J. H. Wilkinson Solution of Symmetric and Unsymmetric
Band Equations and the Calculation of
Eigenvectors of Band Matrices . . . . . 279--301
Peter Hofmann Asymptotic expansions of the
discretization error of boundary value
problems of the Laplace equation in
rectangular domains . . . . . . . . . . 302--322
J. Oliver Relative error propagation in the
recursive solution of linear recurrence
relations . . . . . . . . . . . . . . . 323--340
Minoru Urabe Numerical solution of multi-point
boundary value problems in Chebyshev
series. Theory of the method . . . . . . 341--366
B. Shaw Some multistep formulae for special high
order ordinary differential equations 367--378
R. Sauer Alwin Watther em. ord. Professor an der
Technischen Hochschule Darmstadt . . . . 379--379
Roland Bulirsch Numerical calculation of the sine,
cosine and Fresnel integrals . . . . . . 380--385
R. S. Martin and
W. Barth and
J. H. Wilkinson Calculation of the Eigenvalues of a
Symmetric Tridiagonal matrix by the
Method of Bisection . . . . . . . . . . 386--393
P. G. Ciarlet and
M. H. Schultz and
R. S. Varga Numerical methods of high-order accuracy
for nonlinear boundary value problems.
I: One dimensional problem . . . . . . . 394--430
Ernst Merzrath Direct solution of partial difference
equations . . . . . . . . . . . . . . . 431--436
R. M. Redheffer Bemerkungen über
Differentialungleichungen bei abzählbaren
Ausnahmemengen. (German) [Remark on
Differential Equations for Countable
Sets] . . . . . . . . . . . . . . . . . 437--445
W. R. Hodgkins On the relation between dynamic
relaxation and semi-iterative matrix
methods . . . . . . . . . . . . . . . . 446--451
Dieter Gaier and
John Todd On the rate of convergence of optimal
ADI processes . . . . . . . . . . . . . 452--459
A. H. Stroud Some fifth degree integration formulas
for symmetric regions II . . . . . . . . 460--468
N. Metropolis and
M. L. Stein and
P. R. Stein Stable states of a non-linear
transformation . . . . . . . . . . . . . 1--19
Dennis Eisen The equivalence of stability and
convergence for finite difference
schemes with singular coefficients . . . 20--29
David Gries Characterizations of certain classes of
norms . . . . . . . . . . . . . . . . . 30--41
Jochen W. Schmidt and
Hartmut Dressel Fehlerabschätzungen bei
Polynomgleichungen mit dem Fixpunktsatz
von Brouwer. (German) [Error estimates
by polynomial equations with Brouwer's
fixed point estimate] . . . . . . . . . 42--50
Bruno Brosowski and
Henry L. Loeb Zur Eindeutigkeit der rationalen
Tschebyscheff-Approximation an stetig
differenzierbare Funktionen. (German)
[On the uniqueness of rational Chebyshev
approximation of continuous
differentiable functions] . . . . . . . 51--55
G. Fairweather and
A. R. Gourlay and
A. R. Mitchell Some high accuracy difference with a
splitting operator for equations of
parabolic and elliptic type . . . . . . 56--66
P. Keast and
A. R. Mitchell Finite difference solution of the third
boundary problem in elliptic and
parabolic equations . . . . . . . . . . 67--75
M. R. Osborne The numerical solution of a periodic
parabolic problem subject to a nonlinear
boundary condition . . . . . . . . . . . 76--79
Wolfgang Walter Bemerkungen zu Iterationsverfahren bei
linearen Gleichungssystemen. (German)
[Remark on Iteration Method for Linear
Equation Systems] . . . . . . . . . . . 80--85
L. Duane Pyle A generalized inverse
$\epsilon$-algorithm for constructing
intersection projection matrices, with
applications . . . . . . . . . . . . . . 86--102
S. L. Mehndiratta Symmetry and self-duality in nonlinear
programming . . . . . . . . . . . . . . 103--109
Takao Tsuda and
Kozo Ichida and
Takeshi Kiyono Monte Carlo path-integral calculations
for two-point boundary-value problems 110--116
Kendall E. Atkinson The solution of non-unique linear
integral equations . . . . . . . . . . . 117--124
James W. Daniel Convergence of the Conjugate Gradient
Method with Computationally Convenient
Modifications . . . . . . . . . . . . . 125--131
Jean-François Maitre Norme composée et norme associée généralisée
d'une matrice. (French) [Composed and
Associative Generalized Matrix Norm] . . 132--141
G. Loizou Bounds for the inequality of Wielandt 142--146
Charles B. Dunham Transformed rational Chebyshev
approximation . . . . . . . . . . . . . 147--152
L. Elsner and
R. M. Redheffer Remarks on band matrices . . . . . . . . 153--161
G. W. Stewart III A generalization of a theorem of Fan on
Gershgorin disks . . . . . . . . . . . . 162--162
Beresford Parlett Correction to convergence of the QR
algorithm . . . . . . . . . . . . . . . 163--164
C. W. Cryer On the calculation of the largest
eigenvalue of an integral equation . . . 165--176
Christian H. Reinsch Smoothing by spline functions . . . . . 177--183
A. A. Goldstein and
J. F. Price An effective algorithm for minimization 184--189
P. J. Laurent Théor\`emes de caractérisation d'une
meilleure approximation dans un espace
norme et généralisation de l'algorithme de
Remes. (French) [Theorems for
Characterizing the Best Approximation in
a Normed Space and Generalization of the
Remes Algorithm] . . . . . . . . . . . . 190--208
Rainer Ansorge Konvergenz von Mehrschrittverfahren zur
Lösung halblinearer Anfangswertaufgaben.
(German) [Convergence of a multistep
method for solution of half-linear
initial-value problems] . . . . . . . . 209--219
Erich Bohl Nichtlineare Aufgaben in halbgeordneten
Räumen. (German) [Nonlinear problems in
half-ordered spaces] . . . . . . . . . . 220--231
R. A. Smith The condition numbers of the matrix
eigenvalue problem . . . . . . . . . . . 232--240
Horst Kadner Die numerische Behandlung von
Integralgleichungen nach der
Kollokationsmethode. (German) [The
numerical treatment of integral
equations in the collocation method] . . 241--260
N. J. Lehmann Fehlerschranken für Näherungslösungen bei
Differentialgleichungen. (German) [Error
bounds for approximate solutions of
differential equations] . . . . . . . . 261--288
H. Werner and
J. Stoer and
W. Bommas Rational Chebyshev approximation . . . . 289--306
G. J. Cooper and
E. Gal Single step methods for linear
differential equations . . . . . . . . . 307--315
Victor Pereyra Iterated deferred corrections for
nonlinear operator equations . . . . . . 316--323
Joseph T. Ryan A sieve method for classifying composite
numbers . . . . . . . . . . . . . . . . 324--326
J. McNamee and
F. Stenger Construction of fully symmetric
numerical integration formulas . . . . . 327--344
M. H. Schultz and
R. S. Varga L-splines . . . . . . . . . . . . . . . 345--369
J. Meinguet Optimal approximation and error bounds
in seminormed spaces . . . . . . . . . . 370--388
John J. H. Miller On power-bounded operators and operators
satisfying a resolvent condition . . . . 389--396
Dennis Eisen On the numerical solution of $u_t =
u\sb{rr} +{2\over r} u_r$ . . . . . . . 397--409
Peter Förster Existenzaussagen und Fehlerabschätzungen
bei gewissen nichtlinearen
Randwertaufgaben mit gewöhnlichen
Differentialgleichungen. (German)
[Existence statement and error bounds
for certain nonlinear boundary value
problems with ordinary differential
equations] . . . . . . . . . . . . . . . 410--422
Hanns-Jörg Stoss Ein Verfahren zur Berechnung des
charakteristischen Exponenten der
Differentialgleichung $y'' + (\lambda +
2\lambda1cos\chi + 2\lambda 2 cos 2\chi)
y = 0$. (German) [A procedure for the
computation of the characteristic
exponent of the differential equation
$y'' + (\lambda + 2\lambda1cos\chi +
2\lambda 2 cos 2\chi) y = 0$] . . . . . 423--436
George T. Symm Numerical mapping of exterior domains 437--445
John D. Dixon High speed computation of group
characters . . . . . . . . . . . . . . . 446--450
M. Menzel and
N. Metropolis Algorithms in unnormalized arithmetic
II. Unrestricted polynomial evaluation 451--462
P. J. Eberlein and
J. Boothroyd Solution to the Eigenproblem by a Norm
Reducing Jacobi Type Method . . . . . . 1--12
G. T. McAllister A priori bounds on difference quotients
of solutions to some linear uniformly
elliptic difference equations . . . . . 13--37
P. M. Anselone and
L. B. Rall The solution of characteristic
value-vector problems by Newton's method 38--45
Sidney Heller On the uniform positivity of a certain
finite difference matrix . . . . . . . . 46--52
Jochen W. Schmidt Asymptotische Einschließung bei
konvergenzbeschleunigenden Verfahren.
II. (German) [Asymptotic enclosure with
convergence acceleration method. II] . . 53--56
George E. Forsythe On the asymptotic directions of the
$s$-dimensional optimum gradient method 57--76
M. Stuart Lynn and
William P. Timlake The numerical solution of singular
integral equations of potential theory 77--98
R. S. Martin and
J. H. Wilkinson Reduction of the Symmetric Eigenproblem
$Ax = \lambda Bx$ and Related Problems
to Standard Form . . . . . . . . . . . . 99--110
Victor Pereyra Iterated deferred corrections for
nonlinear boundary value problems . . . 111--125
A. S. Householder Moments and characteristic roots. II . . 126--128
L. Bittner Abschätzungen bei Variationsmethoden mit
Hilfe von Dualitätssätzen. I. (German)
[Bounds of the Variational Method with
the Aid of the Duality Principle. I] . . 129--143
Heinrich N. Müller Zur Eindeutigkeit bei der linearen
Approximation im allgemeinen sowie
Tschebyscheffschen Fall. (German) [On
the Uniqueness of the Linear
Approximation in General as Well as
Chebyshev Cases] . . . . . . . . . . . . 144--150
Wolfgang Werner Numerical solution of systems of
quasilinear hyperbolic differential
equations by means of the method of
nebencharacteristics in combination with
extrapolation methods . . . . . . . . . 151--169
H. Kempfert On sign determinations in real algebraic
number fields . . . . . . . . . . . . . 170--174
N. Apostolatos and
U. Kulisch and
R. Krawczyk and
B. Lortz and
K. Nickel and
H. W. Wippermann The algorithmic language Triplex-ALGOL
60 . . . . . . . . . . . . . . . . . . . 175--180
R. S. Martin and
C. Reinsch and
J. H. Wilkinson Householder's tridiagonalization of a
symmetric matrix . . . . . . . . . . . . 181--195
Vidar Thomée and
Bertil Westergren Elliptic difference equations and
interior regularity . . . . . . . . . . 196--210
Tetsuro Yamamoto On the eigenvalues of compact operators
in a Hilbert space . . . . . . . . . . . 211--219
Werner Krabs Lineare Optimierung in halbgeordneten
Vektorräumen. (German) [Linear
Optimization in Half-Ordered Vector
Spaces] . . . . . . . . . . . . . . . . 220--231
G. Birkhoff and
M. H. Schultz and
R. S. Varga Piecewise Hermite interpolation in one
and two variables with applications to
partial differential equations . . . . . 232--256
R. De Meersman The method of Garabedian . . . . . . . . 257--263
C. Reinsch and
F. L. Bauer Rational $ Q R $ Transformation with
Newton Shift for Symmetric Tridiagonal
Matrices . . . . . . . . . . . . . . . . 264--272
A. H. Stroud Some seventh degree integration formulas
for the surface of an $n$-sphere . . . . 273--276
V. Felsch and
J. Neubüser Über ein Programm zu Berechnung der
Automorphismengruppe einer endlichen
Gruppe. (German) [On a Program for
Computation of the Automorphism Group of
a Finite Group] . . . . . . . . . . . . 277--292
Hilary J. Bowdler and
R. S. Martin and
C. Reinsch and
J. H. Wilkinson The $ Q R $ and $ Q L $ Algorithms for
Symmetric Matrices . . . . . . . . . . . 293--306
H. Kschwendt Convergence limits in the Monte Carlo
theory of integral equations . . . . . . 307--314
George Pólya Graeffe's method for eigenvalues . . . . 315--319
Helen I. Medley and
Richard S. Varga On Smallest Isolated Gerschgorin Disks
for Eigenvalues. II . . . . . . . . . . 320--323
J. E. Dennis, Jr. On Newton-like methods . . . . . . . . . 324--330
P. G. Ciarlet and
M. H. Schultz and
R. S. Varga Numerical methods of high-order accuracy
for nonlinear boundary value problems.
II: Nonlinear boundary conditions . . . 331--345
Joachim A. Nitsche Ein Kriterium für die Quasi-Optimalität
des Titzschen Verfahrens. (German) [A
Criterion for the Quasi-Optimality of
Titzche Methods] . . . . . . . . . . . . 346--348
J. Oliver The numerical solution of linear
recurrence relations . . . . . . . . . . 349--360
Helen I. Medley and
Richard S. Varga On Smallest Isolated Gerschgorin Disks
for Eigenvalues. III . . . . . . . . . . 361--369
William B. Gragg Truncation error bounds for
$g$-fractions . . . . . . . . . . . . . 370--379
Wolfgang Wendland Die Behandlung von Randwertaufgaben im
$R_3$ mit Hilfe von Einfach- und
Doppelschichtpotentialen. (German) [The
treatment of boundary-value problems in
${R}_3$ by simple and double blocking
layer potentials] . . . . . . . . . . . 380--404
Albert Bode Matrizielle untere Schranken linearer
Abbildungen und $M$-Matrizen. (German)
[Matrix lower bounds of linear
transformations and ${M}$ Matrices] . .
W. L. Wood On an explicit numerical method for
solving the biharmonic equation . . . . 413--426
Hansgeorg Jeggle Zur Diskretisierung einer Klasse
Fredholmscher Integralgleichungen mit
singulãrem Wert der Ordnung $1$. (German)
[On the discretisation of a class of
Fredholm integral equations with
singular values of order $1$] . . . . . 427--443
U. Kulisch Über reguläre Zerlegungen von Matrizen und
einige Anwendungen. (German) [On Regular
Dismantlings of Stencils and Some
Applications] . . . . . . . . . . . . . 444--449
Ulrich Eckhardt Einige Eigenschaften Wilfscher
Quadraturformeln. (German) [Some
Eigenvalues of the Wilf Quadrature
Formula] . . . . . . . . . . . . . . . . 1--7
Charles B. Dunham Transformed rational Chebyshev
approximation. II . . . . . . . . . . . 8--10
J. M. Watt Consistency, Convergence and Stability
of General Discretizations of the
Initial Value Problem . . . . . . . . . 11--22
Robert H. Moore Approximations to nonlinear operator
equations and Newton's method . . . . . 23--34
K. P. Hadeler Newton-Verfahren für inverse
Eigenwertaufgaben. (German) [Newton
Method for Inverse Eigenvalue Problems] 35--39
Tomaso Pomentale On discrete rational least squares
approximation . . . . . . . . . . . . . 40--46
C. G. Broyden Some aspects of consistent ordering . . 47--56
Bruno Brosowski and
Josef Stoer Zur rationalen
Tschebyscheff-Approximation
differenzierbarer und analytischer
Funktionen. (German) [On a rational
Chebyshev approximation of
differentiable and analytic functions] 57--65
P. M. Anselone and
P. J. Laurent A general method for the construction of
interpolating or smoothing
spline-functions . . . . . . . . . . . . 66--82
Albert W. Marshall and
Ingram Olkin Scaling of matrices to achieve specified
row and column sums . . . . . . . . . . 83--90
F. L. Bauer Fields of values and Gershgorin disks 91--95
Chr. Zenger On convexity properties of the Bauer
field of values of a matrix . . . . . . 96--105
Jean-François Ma\^\itre Sur une classe de normes et l'analyse a
posteriori d'un syst\`eme linéaire.
(French) [On a Class of Norms and the A
Posteriori Analysis of a Linear System ] 106--110
Aldo Ghizzetti Procedure for constructing quadrature
formulae on infinite intervals . . . . . 111--119
P. G. Ciarlet and
M. H. Schultz and
R. S. Varga Numerical methods of high-order accuracy
for nonlinear boundary value problems.
III: Eigenvalue problems . . . . . . . . 120--133
R. J.-B. Wets and
Christoph Witzgall Towards an algebraic characterization of
convex polyhedral cones . . . . . . . . 134--138
Hans J. Stetter Instability and non-monotonicity
phenomena in discretizations to boundary
value problems . . . . . . . . . . . . . 139--145
Josef Stoer Lower bounds of matrices . . . . . . . . 146--158
L. Neckermann and
P. O. Runck Über Approximationseigenschaften
differenzierter Lagrangescher
Interpolationspolynome mit Jacobischen
Abszissen. (German) [On Approximate
Eigenvalues of Differentiated Lagrangian
Interpolation Polynomials with Jacobian
Abscissas] . . . . . . . . . . . . . . . 159--169
A. L. Roark and
L. F. Shampine On the eigenproblem for displacement
integral equations . . . . . . . . . . . 170--179
A. R. Gourlay and
A. R. Mitchell High accuracy A.D.I. methods for
parabolic equations with variable
coefficients . . . . . . . . . . . . . . 180--185
Kenneth M. Brown and
J. E. Dennis, Jr. On Newton-Like Iteration Functions:
General Convergence Theorems and a
Specific Algorithm . . . . . . . . . . . 186--191
Marc Atteia Fonctions `spline' définies sur un
ensemble convexe. (French) [Spline
Functions Defined on a Convex Set] . . . 192--210
Peter Forster Bemerkungen zum Iterationsverfahren von
Schulz zur Bestimmung der Inversen einer
Matrix. (German) [Remarks on Schulz's
iterative method for computing the
inverse of a matrix] . . . . . . . . . . 211--214
M. J. M. Bernal and
J. H. Verner On Generalizations of the Theory of
Consistent Orderings for Successive
Over-Relaxation Methods . . . . . . . . 215--222
Heinz-Otto Kreiss On the numerical solution of the
spherically symmetric diffusion equation 223--225
Miroslav Ma\vnas and
Josef Nedoma Finding all vertices of a convex
polyhedron . . . . . . . . . . . . . . . 226--229
W. J. Cody and
J. Stoer Corrigendum: ``Rational Chebyshev
approximations using interpolation'' . . 230--230
H. R. Schwarz Tridiagonalization of a symmetric band
matrix . . . . . . . . . . . . . . . . . 231--241
W. J. Cody and
W. Fraser and
J. F. Hart Rational Chebyshev approximation using
linear equations . . . . . . . . . . . . 242--251
J. N. Lyness The calculation of Stieltjes' integral 252--265
P. G. Ciarlet and
M. H. Schultz and
R. S. Varga Numerical methods of high-order accuracy
for nonlinear boundary value problems.
IV: Periodic boundary conditions . . . . 266--279
M. R. Osborne The numerical solution of a periodic
parabolic problem subject to a nonlinear
boundary condition. II . . . . . . . . . 280--287
A. R. G. Heesterman Special simplex algorithm for
multi-sector problems . . . . . . . . . 288--306
Wolfgang Walter Die Linienmethode bei nichtlinearen
parabolischen Differentialgleichungen.
(German) [The Line Method for Nonlinear
Parabolic Differential Equations] . . . 307--321
P. Keast The third boundary value problem for
elliptic equations . . . . . . . . . . . 322--326
S. Karamardian Existence of solutions of certain
systems of nonlinear inequalities . . . 327--334
C. W. Cryer Pivot Size in Gaussian Elimination . . . 335--345
P. A. Businger Matrices Which Can Be Optimally Scaled 346--348
Roger S. Martin and
J. H. Wilkinson Similarity Reduction of a General Matrix
to Hessenberg Form . . . . . . . . . . . 349--368
Roger S. Martin and
J. H. Wilkinson The Modified $LR$ Algorithm for Complex
Hessenberg Matrices . . . . . . . . . . 369--376
R. S. Martin and
J. H. Wilkinson The Implicit $QL$ Algorithm . . . . . . 377--383
Robert E. Barnhill Asymptotic properties of minimum norm
and optimal quadratures . . . . . . . . 384--393
Milo\vs Zlámal On the finite element method . . . . . . 394--409
L. F. Shampine Error bounds and variational methods for
nonlinear boundary value problems . . . 410--415
M. Fraser and
N. Metropolis Algorithms in unnormalized arithmetic.
III: Matrix inversion . . . . . . . . . 416--428
G. Loizou On matrices with a checkerboard sign
distribution . . . . . . . . . . . . . . 429--430
H. Noltemeier and
M. Ost Zum Auswahlproblem. (German) [On the
Selection Problem] . . . . . . . . . . . 431--434
J.-J. Goël Construction of basic functions for
numerical utilisation of Ritz's method 435--447
F. W. Schäfke Zum Zeilensummenkriterium. (German) [On
the line sum criterion] . . . . . . . . 448--453
Haruo Sunouchi Perturbation theory of difference
schemes . . . . . . . . . . . . . . . . 454--458
J. Oliver An extension of Olver's error estimation
technique for linear recurrence
relations . . . . . . . . . . . . . . . 459--467
F. L. Bauer Remarks on Optimally Scaled Matrices . . 1--3
Heinz Rutishauser Computational aspects of F. L. Bauer's
simultaneous iteration method . . . . . 4--13
J. H. Verner The Order of Some Implicit Runge--Kutta
Methods . . . . . . . . . . . . . . . . 14--23
Jochen Werner Einschließungssaätze bei nichtlinearen
gewönlichen Randwertaufgaben und
erzwungene Schwingungen. (German)
[Enclosure Principles for Nonlinear
Ordinary Boundary Value Problems and
Forced Vibrations] . . . . . . . . . . . 24--38
Hans Ade Iterationsverfahren höherer Ordnung in
Banach-Räumen. (German) [Iteration
Methods of Higher-Order in Banach
Spaces] . . . . . . . . . . . . . . . . 39--50
P. G. Ciarlet and
M. H. Schultz and
R. S. Varga Numerical methods of high-order accuracy
for nonlinear boundary value problems.
V: Monotone Operator Theory . . . . . . 51--77
Frank Natterer Einschließungen für die großen Eigenwerte
gewönlicher Differentialgleichungen
zweiter und vierter Ordnung. (German)
[Bounds for the large eigenvalues of
second- and fourth-order ordinary
differential equations] . . . . . . . . 78--93
Dietbert Ehresmann Zur Abschätzung des
Bestapproximationsfehlers bei der
Approximation differenzierbarer
Funktionen durch Polynome. (German)
[Toward Approximation of Best
Approximation Errors for the
Approximation of Differentiable
Functions by Polynomials] . . . . . . . 94--100
J. H. Bramble On the convergence of difference
approximations to weak solutions of
Dirichlet's problem . . . . . . . . . . 101--111
H. Werner and
Dietrich Braess Über den Zusammenhang von Interpolation
und diskreter $T$-Approximation mit
rationalen Funktionen. (German) [On the
Coherence of Interpolation and Discrete
$T$ Approximation with Rational
Functions] . . . . . . . . . . . . . . . 112--128
R. S. Anderssen The numerical solution of parabolic
differential equations using variational
methods . . . . . . . . . . . . . . . . 129--145
V. P. Sreedharan Solutions of overdetermined linear
equations which minimize error in an
abstract norm . . . . . . . . . . . . . 146--151
John E. Osborn A note on a perturbation theorem for the
matrix eigenvalue problem . . . . . . . 152--153
E. Stiefel and
D. G. Bettis Stabilization of Cowell's method . . . . 154--175
D. P. Squier One-step methods for ordinary
differential equations . . . . . . . . . 176--179
F. M. Perrin and
H. S. Price and
R. S. Varga On higher-order numerical methods for
nonlinear two-point boundary value
problems . . . . . . . . . . . . . . . . 180--198
M. R. Osborne and
G. A. Watson On estimating best approximations of
functions defined by differential
equations . . . . . . . . . . . . . . . 199--206
Ivo Marek On the row sum criterion and the
convergence of some iterative processes 207--216
Rainer Ansorge Konvergenz von Differenzenverfahren für
quasilineare Anfangswertaufgaben.
(German) [Convergence of Difference
Methods for Quasilinear Initial Value
Problems] . . . . . . . . . . . . . . . 217--225
Erich Bohl Über Fehlerabschätzungen bei nichtlinearen
Operatorgleichungen. (German) [On Error
Bounds for Nonlinear Operator Equations] 226--237
Lee W. Johnson Uniform approximation of vector-valued
functions . . . . . . . . . . . . . . . 238--244
L. Elsner Bemerkung zu einer Arbeit von Marshall
und Olkin. (German) [Remark on a paper
of Marshall and Olkin] . . . . . . . . . 245--246
M. V. Pattabhiraman and
P. Lancaster Spectral properties of a polynomial
operator . . . . . . . . . . . . . . . . 247--259
Joachim A. Nitsche Verfahren von Ritz und
Spline-Interpolation bei
Sturm--Liouville-Randwertproblemen.
(German) [Ritz methods and spline
interpolation of Sturm--Liouville
boundary value problems] . . . . . . . . 260--265
R. Bulirsch An extension of the
Bartky-transformation to incomplete
elliptic integrals of the third kind . . 266--284
K. P. Hadeler Einige Anwendungen mehrparametriger
Eigenwertaufgaben. (German) [Some Uses
of Extra Parametrized Eigenvalue
Problems] . . . . . . . . . . . . . . . 285--292
B. N. Parlett and
C. Reinsch Balancing a matrix for calculation of
eigenvalues and eigenvectors . . . . . . 293--304
R. Bulirsch Numerical calculation of elliptic
integrals and elliptic functions. III 305--315
John W. Rainey On comparatively stable
tridiagonalization methods . . . . . . . 316--322
P. Razelos On the accuracy of the analog solution
of heat conduction problems involving
Newtonian cooling . . . . . . . . . . . 323--333
J. Nitsche Interpolation in Sobolevschen
Funktionenräumen. (German) [Interpolation
in Sobolev function spaces] . . . . . . 334--343
H. J. Dirschmid Bemerkungen zu einer Arbeit von G. Polya
zur Bestimmung der Nullstellen ganzer
Funktionen. (German) [Comment on a work
by G. Polya for Determining Zeros of
Real Functions] . . . . . . . . . . . . 344--348
Ji\vrí Soukup A method for finding the roots of a
polynomial . . . . . . . . . . . . . . . 349--353
Volker Strassen Gaussian Elimination is Not Optimal . . 354--356
Joel Davis and
Jerome J. Jacoby Numerical integration of linear integral
equations with mild discontinuity . . . 357--361
G. W. Stewart Accelerating the orthogonal iteration
for the eigenvectors of a Hermitian
matrix . . . . . . . . . . . . . . . . . 362--376
P. J. Taylor A generalisation of systematic
relaxation methods for consistently
ordered matrices . . . . . . . . . . . . 377--395
Apostolos Hadjidimos On some high accuracy difference schemes
for solving elliptic equations . . . . . 396--403
Erwin H. Bareiss Numerical Solution of Linear Equations
with Toeplitz and Vector Toeplitz
Matrices . . . . . . . . . . . . . . . . 404--424
Nancy K. Nichols and
L. Fox Generalised consistent ordering and the
optimum successive overrelaxation factor 425--433
Frank Natterer Numerische Behandlung singulärer
Sturm--Liouville-Probleme. (German)
[Numerical treatment of singular
Sturm--Liouville problems] . . . . . . . 434--447
George T. Symm Conformal mapping of doubly-connected
domains . . . . . . . . . . . . . . . . 448--457
G. W. Stewart Some iterations for factoring a
polynomial . . . . . . . . . . . . . . . 458--470
A. S. Householder and
G. W. Stewart Comments on ``Some iterations for
factoring a polynomial'' . . . . . . . . 470--471
J. N. Lyness and
C. B. Moler Generalized Romberg methods for
integrals of derivatives . . . . . . . . 1--13
A. van der Sluis Condition Numbers and Equilibration of
Matrices . . . . . . . . . . . . . . . . 14--23
Karl-Heinz Hoffman Zur Theorie der nichtlinearen
Tschebyscheff-Approximation mit
Nebenbedingungen. (German) [Toward a
Theory of Nonlinear Chebyshev
Approximation with Constraints] . . . . 24--41
Milo\vs Zlámal On some finite element procedures for
solving second order boundary value
problems . . . . . . . . . . . . . . . . 42--48
Ivo Marek and
Richard S. Varga Nested bounds for the spectral radius 49--70
G. D. Taylor Approximation by functions having
restricted ranges: Equality case . . . . 71--78
A. van Wijngaarden and
B. J. Mailloux and
J. E. L. Peck and
C. H. A. Koster Report on the Algorithmic Language ALGOL
68 . . . . . . . . . . . . . . . . . . . 79--218
R. S. Martin and
G. Peters and
J. H. Wilkinson The $QR$ Algorithm for real Hessenberg
matrices . . . . . . . . . . . . . . . . 219--231
P. J. Eberlein Solution to the complex eigenproblem by
a norm reducing Jacobi type method . . . 232--245
A. van der Sluis Stability of Solutions of Linear
Algebraic Systems . . . . . . . . . . . 246--251
M. A. Jenkins and
J. F. Traub A three-stage variable-shift iteration
for polynomial zeros and its relation to
generalized Rayleigh iteration . . . . . 252--263
W. E. Bosarge, Jr. and
Peter L. Falb Infinite dimensional multipoint methods
and the solution of two point boundary
value problems . . . . . . . . . . . . . 264--286
Wolfgang Börsch-Supan Residuenabschätzung für
Polynom-Nullstellen mittels
Lagrange-Interpolation. (German)
[Residue Bounds for Polynomial Zeros
through Lagrange Interpolation] . . . . 287--296
Chandler Davis On a theorem of Yamamoto . . . . . . . . 297--298
Arnold Schönhage Mehrdimensionale Romberg-Integration.
(German) [Multidimensional Romberg
Integration] . . . . . . . . . . . . . . 299--304
Richard B. Barrar and
Henry L. Loeb On the convergence in measure of
non-linear Chebyshev approximations . . 305--312
W. Lode Zum neuen Norm Entwurf DIN 1333
``Abbrechen und Runden von
Dezimalzahlen''. (German) [Toward a New
Standard Design DIN 1333 ``Calculation
and Rounding in Decimal Numbers''] . . . 313--316
Jan Christiansen Numerical solution of ordinary
simultaneous differential equations of
the $1$st order using a method for
automatic step change . . . . . . . . . 317--324
Tomasz Pietrzykowski The potential method for conditional
maxima in the locally compact metric
spaces . . . . . . . . . . . . . . . . . 325--329
R. B. Guenther and
E. L. Roetman Newton--Cotes formulae in $n$-dimensions 330--345
Frank Natterer Schranken für die Eigenwerte gewöhnlicher
Differentialgleichungen durch
Spline-Approximation. (German) [Bounds
for the Eigenvalue of Ordinary
Differential Equations by Spline
Approximation] . . . . . . . . . . . . . 346--354
Pierre Jamet On the convergence of finite-difference
approximations to one-dimensional
singular boundary-value problems . . . . 355--378
Wyman Fair and
Yudell L. Luke Padé approximations to the operator
exponential . . . . . . . . . . . . . . 379--382
Karl-Heinz Hoffmann Nichtlineare Tschebyscheff-Approximation
mit Nebenbedingungen: Anwendungen.
(German) [Nonlinear Chebyshev
Approximation with Constraints: Use] . . 383--393
Milo\vs Zlámal A finite element procedure of the second
order of accuracy . . . . . . . . . . . 394--402
G. H. Golub and
C. Reinsch Singular Value Decomposition and Least
Squares Solutions . . . . . . . . . . . 403--420
D. G. Bettis Numerical integration of products of
Fourier and ordinary polynomials . . . . 421--434
N. G. Campbell Stability analysis of a difference
scheme for the Navier--Stokes equations 435--447
Rudolf Gorenflo Nichtnegativitäts-und substanzerhaltende
Differenzenschemata für lineare
Diffusionsgleichungen. (German)
[Nonnegativity and substance-receiving
difference patterns for linear diffusion
equations] . . . . . . . . . . . . . . . 448--467
Dietrich Braess Eine Möglichkeit zur
Konvergenzbeschleunigung bei
Iterationsverfahren für bestimmte
nichtlineare Probleme. (German) [A
possibility for convergence acceleration
of iterative methods for certain
nonlinear problems] . . . . . . . . . . 468--475
W. Petry Existenz und Eindeutigkeit für Lösungen
nichtlinearer Randwertprobleme. (German)
[Existence and uniqueness for solutions
of nonlinear boundary value problems] 476--494
H. \vSvecoá On the Bauer's scaled condition number
of matrices arising from approximate
conformal mapping . . . . . . . . . . . 495--507
Jan Christiansen Erratum: \em Numerical solution of
ordinary simultaneous differential
equations of the $1$st order using a
method for automatic step change . . . . v--v
Jayant M. Shah Two-dimensional polynomial splines . . . 1--14
Rolf Dieter Grigorieff Die Konvergenz des Rand- und
Eigenwertproblems linearer gewöhnlicher
Differenzengleichungen. (German) [The
convergence of boundary- and eigenvalue
problems of linear difference equations] 15--48
Hanno Rund The reduction of certain boundary
problems to variational problems by
means of transversality conditions . . . 49--56
Axel Ruhe Properties of a matrix with a very
ill-conditioned eigenproblem . . . . . . 57--60
Hanns-Jörg Stoß Monotonie-Eigenschaften bei
Differentialungleichungen über
nichtkompaktem Grundbereich. (German)
[Monotone Eigenvalues of Differential
Equations over Noncompact Fields] . . . 61--73
A. van der Sluis Condition, Equilibration and Pivoting in
Linear Algebraic Systems . . . . . . . . 74--86
P. G. Ciarlet and
F. Natterer and
R. S. Varga Numerical methods of high-order accuracy
for singular nonlinear boundary value
problems . . . . . . . . . . . . . . . . 87--99
Johann Schröder Proving inverse-positivity of linear
operators by reduction . . . . . . . . . 100--108
F. W. Schäfke Zum Anwendungsbereich einiger
Iterationsverfahren. (German) [On the
Application of an Iteration Scheme] . . 109--121
W. Wetterling Definitheitsbedingungen für relative
Extrema bei Optimierungs- und
Approximationsaufgaben. (German)
[Definiteness Conditions for Relative
Extrema in Optimization and
Approximation Problems] . . . . . . . . 122--136
P. J. Laurent and
Pham-Dinh-Tuan Global approximation of a compact set by
elements of a convex set in a normed
space . . . . . . . . . . . . . . . . . 137--150
Minoru Urabe An implicit one-step method of
high-order accuracy for the numerical
integration of ordinary differential
equations . . . . . . . . . . . . . . . 151--164
H. Ehlich and
W. Haussmann Konvergenz mehrdimensionaler
Interpolation. (German) [Convergence of
Multidimensional Interpolation] . . . . 165--174
Boro Döring Das Tschebyscheff-Verfahren in
Banach-Räumen. (German) [Chebyshev's
method in Banach spaces] . . . . . . . . 175--195
Rolf Dieter Grigorieff Über die Koerzitivität gewönlicher
Differenzenoperatoren und die Konvergenz
von Mehrschrittverfahren. (German) [On
the coerciveness of ordinary difference
operators and the convergence of
multistep methods] . . . . . . . . . . . 196--218
Helmut H. Schaefer Eine Abschätzung der nichttrivialen
Eigenwerte stochastischer Matrizen.
(German) [An Approximation of Nontrivial
Eigenvalues of Stochastic Matrices] . . 219--223
J. Nitsche Zur Konvergenz von Näherungsverfahren
bezüglich verschiedener Normen. (German)
[On the convergence of approximation
processes with respect to various norms] 224--228
Erich Martensen Zur Restglieddartstellung der
Gregoryschen Quadraturformel ungerader
Ordnung. (German) [On the representation
of the remainder of the Gregory
quadrature formula of an odd series] . . 229--233
Jozef Miklo\vsko Asymptotic properties and the
convergence of numerical quadratures . . 234--249
A. van der Sluis Upperbounds for roots of polynomials . . 250--262
Jochen W. Schmidt and
Klaus Vetters Ableitsungfreie Verfahren für
nichtlineare Optimierungsprobleme.
(German) [Lossless method for nonlinear
optimization problem] . . . . . . . . . 263--282
Alexander \vZení\vsek Interpolation polynomials on the
triangle . . . . . . . . . . . . . . . . 283--296
Friedmann W. Stallmann Numerical solution of integral equations 297--305
G. W. Stewart On Samelson's iteration for factoring
polynomials . . . . . . . . . . . . . . 306--314
Christopher T. H. Baker The error in polynomial interpolation 315--319
E. Rakotch and
J. Steinberg Error estimate for the numerical
solution of Fredholm's integral equation 320--328
Karl Graf Finck von Finckenstein Potenzbeschränktheit und Wertebereich
einer Matrix. (German) [Potency
Limitation and Ranges of a Matrix] . . . 329--332
J. N. Lyness and
B. J. J. McHugh On the remainder term in the
$N$-dimensional Euler Maclaurin
expansion . . . . . . . . . . . . . . . 333--344
G. N. de Oliveira Note on an inverse characteristic value
problem . . . . . . . . . . . . . . . . 345--347
D. Marsal Eingabelung der Lösungen von
Integralgleichungen. (German)
[Bifurcation of solutions of integral
equations] . . . . . . . . . . . . . . . 348--350
O. L. Mangasarian A convergent splitting of matrices . . . 351--353
H. A. Luther and
H. G. Sierra On the optimal choice of fourth-order
Runge--Kutta formulas . . . . . . . . . 354--358
Thomas R. Lucas A generalization of $L$-splines . . . . 359--370
J. Descloux On the numerical integration of the heat
equation . . . . . . . . . . . . . . . . 371--381
Richard B. Barrar and
Henry L. Loeb On the Remez algorithm for non-linear
families . . . . . . . . . . . . . . . . 382--391
Gúnther Lamprecht Über die Abhängigkeit der Fehlerfunktion
bei der rationale $L_p$-Approximation
von den Koeffizienten des Nennerpolynoms
bei minimalem Zählerpolynom. (German) [On
the relation between the error function
with rational $L_p$ approximation and
the coefficients of the denominator
polynomial with minimum numerator
polynomial] . . . . . . . . . . . . . . 392--403
Jörg Hertling Approximation of piecewise continuous
functions by a modification of piecewise
Hermite interpolation . . . . . . . . . 404--414
G. Zettl Ein Verfahren zum Minimieren einer
Funktion bei eingeschränktem
Variationsbereich der Parameter.
(German) [A method for the minimization
of a function by a limited variation of
parameters] . . . . . . . . . . . . . . 415--432
Joseph W. Jerome Linear self-adjoint multipoint boundary
value problems and related approximation
schemes . . . . . . . . . . . . . . . . 433--449
A. Dubrulle A short note on the implicit $QL$
algorithm for symmetric tridiagonal
matrices . . . . . . . . . . . . . . . . 450--450
James Lucien Howland and
John Albert Senez A constructive method for the solution
of the stability problem . . . . . . . . 1--7
George Marsaglia Regularities in congruential random
number generators . . . . . . . . . . . 8--10
G. Cenacchi and
A. de Matteis Pseudo-random numbers for comparative
Monte Carlo calculations . . . . . . . . 11--15
John H. Rowland and
James A. O'Donnell Some bounds for the deviation and
interpolation points in Chebyshev
approximation . . . . . . . . . . . . . 16--21
R. L. Johnston and
B. T. Smith Calculation of best isolated Gerschgorin
discs . . . . . . . . . . . . . . . . . 22--31
L. Bittner Some representation theorems for
functions and sets and their application
to nonlinear programming . . . . . . . . 32--51
James W. Daniel A simple, global, complementary
variational principle . . . . . . . . . 52--57
R. Cranley and
T. N. L. Patterson A regression method for the Monte Carlo
evaluation of multidimensional integrals 58--72
Emeric Deutsch Matricial norms . . . . . . . . . . . . 73--84
R. S. Martin and
C. Reinsch and
J. H. Wilkinson The $QR$ algorithm for band symmetric
matrices . . . . . . . . . . . . . . . . 85--92
P. Jamet and
P. Lascaux and
P.-A. Raviart Une méthode de résolution numérique des
équations de Navier--Stokes. (French) [A
method of numerical solution of the
Navier--Stokes equations] . . . . . . . 93--114
P. G. Ciarlet and
R. S. Varga Discrete variational Green's function 115--128
Dieter Gaier Saturation bei Spline-Approximation und
Quadratur. (German) [Saturation in
spline approximation and quadrature] . . 129--140
Alston S. Householder and
Richard S. Varga and
James H. Wilkinson A note on Gerschgorin's inclusion
theorem for eigenvalues of matrices . . 141--144
R. P. Brent Error Analysis of Algorithms for Matrix
Multiplication and Triangular
Decomposition Using Winograd's Identity 145--156
E. L. Allgower Criteria for positive definiteness of
some band matrices . . . . . . . . . . . 157--162
Colette Lebaud L'Algorithm double $QR$ avec $<<$shift$>>$.
(French) [The double $QR$ algorithm with
`shift'] . . . . . . . . . . . . . . . . 163--180
G. Peters and
J. H. Wilkinson Eigenvectors of Real and Complex
Matrices by $LR$ and $QR$
Triangularization . . . . . . . . . . . 181--204
H. Rutishauser Simultaneous iteration method for
symmetric matrices . . . . . . . . . . . 205--223
F. N. Fritsch On the number of nodes in self-contained
integration formulas of degree two for
compact planar regions . . . . . . . . . 224--230
T. S. Chow and
H. W. Milnes Numerical solution of Laplace equation
for annular region . . . . . . . . . . . 231--242
Alex Bacopoulos On approximation by sums of Chebyshev
norms . . . . . . . . . . . . . . . . . 243--247
G. H. Meyer On a free interface problem for linear
ordinary differential equations and the
one-phase Stefan problem . . . . . . . . 248--267
A. R. Curtis An eighth order Runge--Kutta process
with eleven function evaluations per
step . . . . . . . . . . . . . . . . . . 268--277
Erasmo M. Ferreira and
Javier Sesma Zeros of the modified Hankel function 278--284
L. Bittner Abschätzungen bei Variationsmethoden mit
Hilfe von Dualitätssätzen. II. (German)
[Bounds of the Variational Method with
the Aid of the Duality Principle. II] 285--303
Alfred Carasso Long-range numerical solution of mildly
non-linear parabolic equations . . . . . 304--321
Ivo Babu\vska Error-bounds for finite element method 322--333
Kenneth M. Brown and
William B. Gearhart Deflation techniques for the calculation
of further solutions of a nonlinear
system . . . . . . . . . . . . . . . . . 334--342
I. J. Good and
R. A. Gaskins The centroid method of numerical
integration . . . . . . . . . . . . . . 343--359
P. A. Businger Monitoring the numerical stability of
Gaussian elimination . . . . . . . . . . 360--361
J. H. Bramble and
S. R. Hilbert Bounds for a class of linear functionals
with applications to Hermite
interpolation . . . . . . . . . . . . . 362--369
M. M. Chawla Estimating errors of numerical
approximation for analytic functions . . 370--374
A. S. Householder Generalizations of an algorithm of
Sebastião e Silva . . . . . . . . . . . . 375--382
H. Götze and
F. L. Bauer Robert Sauer, geb. 16.9.1898 -- gest.
22.8.1970. (German) Robert Sauer, born
16.9.1898 -- died 22.8.1970 . . . . . . i--ii
N. S. Kambo Error bounds for the Lobatto and Radau
quadrature formulas . . . . . . . . . . 383--388
Rainer Kreß Ein ableitungsfreies Restglied für die
trigonometrische Interpolation
periodischer analytischer Funktionen.
(German) [A derivative-free residue for
the trigonometric interpolation of
periodic analytic functions] . . . . . . 389--396
W. W. Clendenin A method for numerical quadrature over
an infinite interval using
systematically increasing mesh size . . 397--407
David M. Young A bound for the optimum relaxation
factor for the successive overrelaxation
method . . . . . . . . . . . . . . . . . 408--413
Richard H. Bartels A stabilization of the simplex method 414--434
Helen I. Medley A note on a paper of Johnston and
Smith's concerning best isolated
Gerschgorin disks . . . . . . . . . . . 435--441
Takeshi Kiyono and
Masaaki Shimasaki Boundary contraction solution of the
Neumann and mixed boundary value
problems of the Laplace equation . . . . 442--450
Christian H. Reinsch Smoothing by spline functions. II . . . 451--454
R. B. Leipnik Rapidly convergent recursive solution of
quadratic operator equations . . . . . . 1--16
J. Oliver The efficiency of extrapolation methods
for numerical integration . . . . . . . 17--32
G. Alefeld Anwendungen Des Fixpunktsatzes Für
Pseudometrische Räume In Der
Intervallrechnung. (German) [Application
of the fixed point theorem for
pseudo-metric space to interval
computation] . . . . . . . . . . . . . . 33--39
John H. Rowland Inequalities for the interpolation
points in Chebyshev approximation by
polynomials . . . . . . . . . . . . . . 40--44
Vidar Thomée Convergence near plane boundaries of
some elliptic difference schemes . . . . 45--53
A. L. Roark On the eigenproblem for convolution
integral equations . . . . . . . . . . . 54--61
A. N. Willson, Jr. A useful generalization of the $P_0$
matrix concept . . . . . . . . . . . . . 62--70
N. Gastinel Sur l'extension de normes sur des
alg\`ebres de matrices. (French) [On the
Extension of Norms on Matrix Algebras] 71--83
P. G. Ciarlet and
C. Wagschal Multipoint Taylor formulas and
applications to the finite element
method . . . . . . . . . . . . . . . . . 84--100
U. Dieter and
J. Ahrens An exact determination of serial
correlations of pseudo-random numbers 101--123
W. L. Miranker Difference schemes with best possible
truncation error . . . . . . . . . . . . 124--142
I. Kupka Simulation reeller Arithmetik und
reeller Funktionen in endlichen Mengen.
(German) [Simulation of real arithmetic
and real functions in finite sets] . . . 143--152
C. Brezinski Études sur les $\epsilon$- et
$\rho$-algorithmes. (French) [Studies on
$\epsilon$ and $\rho$-algorithms] . . . 153--162
Alfred Brauer A remark on the paper of H. H. Schaefer,
``Abschätzung der nichttrivialen
Eigenwerte stochastischer Matrizen'' . . 163--165
B. Knauer Untere Schranken für die Eigenwerte
positiv-definiter, selbstadjungierter
Operatoren. (German) [Lower Bounds for
the Eigenvalues of Positive Definite
Selfadjoint Operators] . . . . . . . . . 166--171
Manfred Reimer Untersuchungen über das Wachstrum von
Potenzreihenabschnitten mit Anwendungen
für das Hornerschema. (German)
[Investigations of the growth of
segments of polynomials with
applications to Horner's scheme] . . . . 172--178
T. J. Dekker and
J. F. Traub An analysis of the shifted $LR$
algorithm . . . . . . . . . . . . . . . 179--188
M. H. C. Paardekooper An eigenvalue algorithm for
skew-symmetric matrices . . . . . . . . 189--202
Kunio Tanabe Projection Method for Solving a Singular
System of Linear Equations and its
Applications . . . . . . . . . . . . . . 203--214
L. Wuytack A new technique for rational
extrapolation to the limit . . . . . . . 215--221
N. Gastinel Sur le calcul des produits de matrices.
(French) [Calculation of the product of
matrices] . . . . . . . . . . . . . . . 222--229
James R. Kuttler A finite-difference approximation for
the eigenvalues of the clamped plate . . 230--238
R. S. Anderssen A stability analysis for the extended
Kantorovich method applied to the
torsion problem . . . . . . . . . . . . 239--246
S. Bergman and
J. G. Herriot Computation of a class of subsonic flow
patterns . . . . . . . . . . . . . . . . 247--252
J. W. Burgmeier and
R. D. Russell and
L. F. Shampine Integral equations with transform
kernels and the eigenproblem $K C x =
\lambda x$ . . . . . . . . . . . . . . . 253--267
W. E. Bosarge, Jr. Iterative continuation and the solution
of nonlinear two-point boundary value
problems . . . . . . . . . . . . . . . . 268--283
N. L. Schryer Newton's method for convex nonlinear
elliptic boundary value problems . . . . 284--300
A. Hadjidimos The numerical solution of a model
problem biharmonic equation by using
extrapolated alternating direction
implicit methods . . . . . . . . . . . . 301--317
Françoise Chatelin-Laborde Perturbation d'une matrice hermitienne
ou normale. (French) [Perturbation
theory for Hermitian (normal) matrix] 318--337
J. Robert Approximations des espace d'Orlicz et
applications. (French) [Approximations
of Orlicz spaces and their applications] 338--356
Dietrich Braess Chebyshev approximation by spline
functions with free knots . . . . . . . 357--366
Bernie L. Hulme Piecewise polynomial Taylor methods for
initial value problems . . . . . . . . . 367--381
Takashi Noda Note on the Computation of the Maximal
Eigenvalue of a Non-Negative Irreducible
Matrix . . . . . . . . . . . . . . . . . 382--386
V. P. Sreedharan Least squares algorithms for finding
solutions of overdetermined linear
equations which minimize error in an
abstract norm . . . . . . . . . . . . . 387--401
Frank Natterer Schranken für die Norm der Greenschen
Funktion gewöhnlicher
Differentialoperatoren. (German) [Bounds
for the Norm of the Green's Function of
Ordinary Differential Operators ] . . . 402--408
G. R. Joubert Explicit difference approximations of
the one-dimensional diffusion equation,
using a smoothing technique . . . . . . 409--430
U. Kulisch An axiomatic approach to rounded
computations . . . . . . . . . . . . . . 1--17
G. R. Joubert Explicit Difference Approximations of Du
Fort--Frankel Type for the
One-Dimensional Diffusion Equation . . . 18--25
G. W. Stewart On a companion operator for analytic
functions . . . . . . . . . . . . . . . 26--43
G. Galimberti and
V. Pereyra Solving Confluent Vandermonde Systems of
Hermite Type . . . . . . . . . . . . . . 44--60
S. Hoshino and
K. Ichida Solution of partial differential
equations by a modified random walk . . 61--72
M. N. Spijker On the structure of error estimates for
finite-difference methods . . . . . . . 73--100
Jörg Hertling Numerical treatment of singular integral
equations by interpolation methods . . . 101--112
Eugen Schäfer Ein Konstruktionsverfahren bei
allgemeiner linearer Approximation.
(German) [A construction method for
general linear approximation] . . . . . 113--126
P. Spellucci Double precision approximations to the
elementary functions using
Jacobi-fractions . . . . . . . . . . . . 127--143
Herbert E. Salzer Formulas for best extrapolation . . . . 144--153
Mordechai Lewin On exponents of primitive matrices . . . 154--161
G. J. Cooper Error bounds for numerical solutions of
ordinary differential equations . . . . 162--170
R. E. Carlson and
C. A. Hall Ritz approximations to two-dimensional
boundary value problems . . . . . . . . 171--181
Eckart Deutsch and
Christoph Zenger Inclusion domains for the eigenvalues of
stochastic matrices . . . . . . . . . . 182--192
Tomaso Pomentale A class of iterative methods for
holomorphic functions . . . . . . . . . 193--203
Inge Troch Über die Stabilität der Ruhelage bei
Differentialgleichungen mit
quasihomogenen rechten Seiten. (German)
[On the steady-state stability of
differential equations with
quasi-homogeneous right sides] . . . . . 204--212
A. Auslender Méthodes numériques pour la décomposition
et la minimisation de fonctions non
différentiables. (French) [Numerical
methods for the decomposition and
minimisation of non-differentiable
functions] . . . . . . . . . . . . . . . 213--223
Theodorus J. Dekker A Floating-Point Technique for Extending
the Available Precision . . . . . . . . 224--242
P. M. Prenter Piecewise $L$-splines . . . . . . . . . 243--253
John J. Cannon Computing the ideal structure of finite
semigroups . . . . . . . . . . . . . . . 254--266
Bo Einarsson Numerical treatment of
integro-differential equations with a
certain maximum property . . . . . . . . 267--288
Kenneth M. Brown and
J. E. Dennis, Jr. Derivative free analogues of the
Levenberg--Marquardt and Gauss
algorithms for nonlinear least squares
approximation . . . . . . . . . . . . . 289--298
Richard F. King Tangent methods for nonlinear equations 298--304
Irene Gargantini and
Peter Henrici Circular arithmetic and the
determination of polynomial zeros . . . 305--320
George Phillip Barker Monotone norms . . . . . . . . . . . . . 321--326
Takao Tsuda Numerical differentiation of functions
of very many variables . . . . . . . . . 327--335
N. L. Schryer Solution of monotone nonlinear elliptic
boundary value problems . . . . . . . . 336--344
R. D. Riess and
L. W. Johnson Error estimates for Clenshaw--Curtis
quadrature . . . . . . . . . . . . . . . 345--353
Otto Hübner Zweiparametrige Überrelaxation. (German)
[Two parameter overrelaxation] . . . . . 354--366
Tomasz Pietrzykowski A generalization of the potential method
for conditional maxima on the Banach,
reflexive spaces . . . . . . . . . . . . 367--372
Walter Gautschi Attenuation factors in practical Fourier
analysis . . . . . . . . . . . . . . . . 373--400
Jon Rokne Newton's method under mild
differentiability conditions with error
analysis . . . . . . . . . . . . . . . . 401--412
K. P. Hadeler Bemerkungen zum Gradientenverfahren.
(German) [Remarks on gradient methods] 413--422
Helmut Werner Eine faktorisierung der bei der
rationalen Interpolation auftretenden
Matrizen. (German) [A factorization of
matrices occurring in rational
interpolation] . . . . . . . . . . . . . 423--431
R. A. Sack A fully stable rational version of the
$QR$ algorithm for tridiagonal matrices 432--441
R. Weiss and
R. S. Anderssen A product integration method for a class
of singular first kind Volterra
equations . . . . . . . . . . . . . . . 442--456
Wm. L. Morris Inclusion theorems for a section of a
matrix . . . . . . . . . . . . . . . . . 457--464
R. A. Sack and
A. F. Donovan An algorithm for Gaussian quadrature
given modified moments . . . . . . . . . 465--478
R. D. Russell and
L. F. Shampine A collocation method for boundary value
problems . . . . . . . . . . . . . . . . 1--28
Herbert Amann Über die nährungswise Lösung nichtlinearer
Integralgleichungen. (German) [On the
approximate solution of nonlinear
integral equations] . . . . . . . . . . 29--45
Richard Askey Positivity of the Cotes numbers for some
Jacobi abscissas . . . . . . . . . . . . 46--48
A. van der Sluis The remainder term in quadrature
formulae . . . . . . . . . . . . . . . . 49--55
G. Alefeld and
J. Herzberger Nullstelleneinschliessung Mit Dem
Newton-Verfahren Ohne Invertierung Von
Intervallmatrizen. (German) [Including
zeros of nonlinear equations by the
Newton method without inverting interval
matrices] . . . . . . . . . . . . . . . 56--64
Tom Lyche Chebyshevian multistep methods for
ordinary differential equations . . . . 65--75
J. L. Brenner and
J. de Pillis Partitioned matrices and Seidel
convergence . . . . . . . . . . . . . . 76--80
Gilbert Strang Approximation in the finite element
method . . . . . . . . . . . . . . . . . 81--98
J. J. Blair Error bounds for the solution of
nonlinear two-point boundary value
problems by Galerkin's method . . . . . 99--109
M. P. Carroll Simultaneous $L_1$ approximation of a
compact set of real-valued functions . . 110--115
Heinz Antes Splinefunktionen bei der Lösung von
Integralgleichungen. (German) [On the
solution of integral equations with
spline functions] . . . . . . . . . . . 116--126
G. Fix and
N. Nassif On finite element approximations to
time-dependent problems . . . . . . . . 127--135
Gilles Tissier Interpolation \`a plusieurs variables
sur la sph\`ere. (French) [Interpolation
with several variables on the sphere] 136--145
M. v. Golitschek On the convergence of interpolating
periodic spline functions of high degree 146--154
J. G. Pierce and
R. S. Varga Higher order convergence results for the
Rayleigh--Ritz method applied to
eigenvalue problems. II. Improved error
bounds for eigenfunctions . . . . . . . 155--169
R. B. Kellogg On compiles eigenvalues of $M$ and $P$
matrices . . . . . . . . . . . . . . . . 170--175
J. H. Wilkinson Note on matrices with a very
ill-conditioned eigenproblem . . . . . . 176--178
Dieter Gaier Ermittlung des konformen Moduls von
Vierecken mit Differenzenmethoden.
(German) [Determination of the conformal
modules of quadrilaterals by difference
methods] . . . . . . . . . . . . . . . . 179--194
W. A. Beyer and
M. S. Waterman Ergodic computations with continued
fractions and Jacobi's algorithm . . . . 195--205
P. Lancaster A note on sub-multiplicative norms . . . 206--208
Christoph Zenger A comparison of some bounds for the
nontrivial eigenvalues of stochastic
matrices . . . . . . . . . . . . . . . . 209--211
J. Steinberg Numerical solution of Volterra integral
equation . . . . . . . . . . . . . . . . 212--217
K. G. Guderley and
C. L. Keller A basic theorem in the computation of
ellipsoidal error bounds . . . . . . . . 218--229
Hermann Engels Über Konvergenzkriterien für numerische
Differentiationsverfahren. (German) [On
convergence criteria for numerical
differentiation procedures] . . . . . . 230--237
R. L. Johnston and
D. D. Olesky On the computation of inclusion regions
for partitioned matrices . . . . . . . . 238--247
Kendall Atkinson The numerical solution of Fredholm
integral equations of the second kind
with singular kernels . . . . . . . . . 248--259
K. P. Hadeler Bemerkungen zu einer Arbeit von W.
Wetterling über positive Operatoren.
(German) [Remarks on a work by W.
Wetterling on positive operators] . . . 260--265
J. W. Dailey and
J. G. Pierce Error bounds for the Galerkin method
applied to singular and nonsingular
boundary value problems . . . . . . . . 266--282
David A. Field and
Willson B. Jones \em A priori estimates for truncation
error of continued fractions $K(1/b_n)$ 283--302
F. Robert and
J. F. Maitre Normes et algorithmes associés \`a une
découpe de matrice (Itération du principe
de Gauss--Seidel). (French) [Norms and
algorithms associated with a splitting
of matrix (Iteration of the
Gauss--Seidel principle)] . . . . . . . 303--325
Franti\vsek Melkes Reduced piecewise bivariate Hermite
interpolations . . . . . . . . . . . . . 326--340
Stephen M. Robinson Extension of Newton's method to
nonlinear functions with values in a
cone . . . . . . . . . . . . . . . . . . 341--347
Bernard Bereanu On the convergence of Cartesian
multidimensional quadrature formulae . . 348--350
Eckart Gekeler Über mehrstufige Iterationsverfahren und
die Lösung der Hammersteinschen
Gleichung. (German) [On several stage
iterative methods and the solution of
the Hammerstein equations] . . . . . . . 351--360
Gene A. Kemper Linear multistep methods for a class of
functional differential equations . . . 361--372
D. F. Paget and
David Elliott An algorithm for the numerical
evaluation of certain Cauchy principal
value integrals . . . . . . . . . . . . 373--385
H. Brown and
J. Neubüser and
H. Zassenhaus On integral groups. I: The reducible
case . . . . . . . . . . . . . . . . . . 386--399
M. Pichat Correction d'une Somme en Arithmétique
\`a Virgule Flottante. (French)
[Correction of a Sum in Floating-Point
Arithmetic] . . . . . . . . . . . . . . 400--406
Peter Forster Die diskrete Greensche Funktion und
Fehlerabschätzungen zum
Galerkin-Verfahren. (German) [Discrete
variational Green's function and error
bounds for Galerkin approximations] . . 407--418
D. B. Hunter Some Gauss-type formulae for the
evaluation of Cauchy principal values of
integrals . . . . . . . . . . . . . . . 419--424
Webb Miller On the stability of finite numerical
procedures . . . . . . . . . . . . . . . 425--432
Rita Meyer-Spasche A constructive method of solving the
Lyapunov equation for complex matrices 433--438
Patrick Saint-Pierre Sur la convergence numérique de
différentes méthodes de décomposition pour
une class de probl\`emes elliptiques.
(French) [On the numerical convergence
of different methods of decomposition
for a class of elliptic problems] . . . 439--449
Ivo Babu\vska and
Michael B. Rosenzweig A finite element scheme for domains with
corners . . . . . . . . . . . . . . . . 1--21
H. Brown and
J. Neubüser and
H. Zassenhaus On integral groups. II: The irreducible
case . . . . . . . . . . . . . . . . . . 22--31
Gerhard Schmeisser Optimale Quadraturformeln mit
semidefiniten Kernen. (German) [Optimal
Quadrature Formulas with Semidefinite
Kernels] . . . . . . . . . . . . . . . . 32--53
G. Cenacchi and
A. De Matteis Quasi-random sequences by power residues 54--63
Claude Brezinski Conditions d'application et de
convergence de procédés d'extrapolation.
(French) [Application and convergence
conditions for some extrapolation
processes] . . . . . . . . . . . . . . . 64--79
Veikko Seppälä A note on the theory of limit processes
for solving finite equations . . . . . . 80--86
Rainer Kreß Zur numerischen Integration periodischer
Funktionen nach der Rechteckregel.
(German) [On the numerical integration
of periodic functions by the trapezoidal
rule] . . . . . . . . . . . . . . . . . 87--92
W. J. Kammerer and
R. S. Varga On Asymptotically Best Norms for Powers
of Operators . . . . . . . . . . . . . . 93--98
Lois Mansfield On the variational characterization and
convergence of bivariate splines . . . . 99--114
M. Golomb and
R. A. Tapia The metric gradient in normed linear
spaces . . . . . . . . . . . . . . . . . 115--124
Rainer Kreß On general Hermite trigonometric
interpolation . . . . . . . . . . . . . 125--138
Martin Gutknecht A posteriori error bounds for the zeros
of a polynomial . . . . . . . . . . . . 139--148
P. J. van der Houwen Explicit Runge--Kutta formulas with
increased stability boundaries . . . . . 149--164
Claude Carasso Étude de l'algorithme de Rém\`es en
l'absence de condition de Haar. (French)
[Study of the Remes-algorithm without
the Haar condition] . . . . . . . . . . 165--178
Ivo Babu\vska The finite element method with
Lagrangian multipliers . . . . . . . . . 179--192
F. Chatelin Approximation du spectre d'un opérateur
linéare: application aux opérateurs
differentiels elliptiques non
autoadjoints. (French) [Approximation of
the spectrum of a linear operator:
application to nonselfadjoint
differential elliptic operators] . . . . 193--204
A. S. Householder Postscript to: ``Generalizations of an
algorithm of Sebastiao e Silva'' . . . . 205--207
Alexandru I. \cSchiop Stability of Ritz procedure for
nonlinear two-point boundary value
problem . . . . . . . . . . . . . . . . 208--212
Jim Douglas, Jr. and
Todd Dupont Galerkin methods for parabolic equations
with nonlinear boundary conditions . . . 213--237
Volker Strassen Die Berechnungskomplexität von
elementarsymmetrischen Funktionen und
von Interpolationskoeffizienten.
(German) [The computational complexity
of elementary symmetric functions and
interpolation coefficients] . . . . . . 238--251
Richard S. Varga and
Bernard W. Levinger On Minimal Gerschgorin Sets for Families
of Norms . . . . . . . . . . . . . . . . 252--256
Thomas R. Lucas and
George W. Reddien A high order projection method for
nonlinear two point boundary value
problems . . . . . . . . . . . . . . . . 257--270
E. Rakotch Numerical solution of Volterra integral
equations . . . . . . . . . . . . . . . 271--279
Rainer Ansorge $f$-Konvergenz und $f$-Stetigkeit von
Operatorenfolgen auf metrischen Räumen.
(German) [$f$-Convergence and
$f$-Stability of Operator Sequences in
Metric Spaces] . . . . . . . . . . . . . 280--287
Colin W. Cryer The numerical solution of boundary value
problems for second order functional
differential equations by finite
differences . . . . . . . . . . . . . . 288--299
René van Dooren Numerical computation of forced
oscillations in coupled Duffing
equations . . . . . . . . . . . . . . . 300--311
G. Alefeld Über konvergente Zerlegungen von
Matrizen. (German) [On Convergent
Splittings of Matrices] . . . . . . . . 312--316
Franz Locher Zur Struktur von Quadraturformeln.
(German) [On the Structure of Quadrature
Formulas] . . . . . . . . . . . . . . . 317--326
Richard Brent and
Shmuel Winograd and
Philip Wolfe Optimal iterative processes for
root-finding . . . . . . . . . . . . . . 327--341
Paula P. Chan Singular splines . . . . . . . . . . . . 342--349
Gideon Zwas On two step Lax--Wendroff methods in
several dimensions . . . . . . . . . . . 350--355
A. Sachs Iterationsverfahren für monotone, nicht
notwendig Lipschitz-beschränkte
Operatoren im Hilbert-Raum. (German)
[Iteration Method for Monotone
Not-Necessarily Lipschitz-Limited
Operators in Hilbert Space] . . . . . . 356--363
R. Meyer-Spasche A method of solving the
stability-problem for complex matrices 364--371
Karl Graf Finck von Finckenstein and
Karl-Ulrich von Hagenow Konvergenz eines Differenzenverfahrens
für quasilineare parabolische
Anfangs-Randwertprobleme in
Zylindersymmetrie. (German) [Convergence
of a Difference Method for Quasilinear
Parabolic Initial-Boundary Value
Problems in Cylindrical Symmetry] . . . 372--376
Takao Tsuda Numerical integration of functions of
very many variables . . . . . . . . . . 377--391
David R. Kincaid A Class of Norms of Iterative Methods
for Solving Systems of Linear Equations 392--408
A. Schönhage Unitäre Transformationen großer Matrizen.
(German) [Unitary Transformation of
Large Matrices] . . . . . . . . . . . . 409--417
Luc Wuytack An algorithm for rational interpolation
similar to the $qd$-algorithm . . . . . 418--424
Tohru Morita and
Tsuyoshi Horiguchi Convergence of the arithmetic-geometric
mean procedure for the complex variables
and the calculation of the complete
elliptic integrals with complex modulus 425--430
W. A. Beyer and
M. S. Waterman Errata: ``Ergodic Computations with
Continued Fraction and Jacobi's
Algorithm'' . . . . . . . . . . . . . . 430--430
Alan Feldstein and
Richard Goodman Numerical solution of ordinary and
retarded differential equations with
discontinuous derivatives . . . . . . . 1--13
Torsten Ström Monotonicity and error bounds in schemes
of Romberg type for the computation of
$f^{(n)}(0)$ by central differences and
extrapolation . . . . . . . . . . . . . 14--21
Frank de Hoog and
Richard Weiss On the solution of Volterra integral
equations of the first kind . . . . . . 22--32
M. Delchambre De l'avantage des méthodes aux différences
modifiées de Stiefel--Bettis pour la
résolution d'équations différentielles du
second ordre perturbées. (French) [The
advantage of modified Stiefel--Bettis
difference methods for the solution of
perturbed second order differential
equations] . . . . . . . . . . . . . . . 33--36
H. J. de Vries On the eigenproblem for normal matrices 37--42
Claes Johnson On the convergence of a mixed
finite-element method for plate bending
problems . . . . . . . . . . . . . . . . 43--62
Philip M. Anselone and
Joel Davis Perturbations of best approximation
problems . . . . . . . . . . . . . . . . 63--69
Erich Martensen Darstellung und Entwicklung des
Restgliedes der Gregoryschen
Quadraturformel mit Hilfe von
Spline-Funktionen. (German)
[Representation and development of the
remainder term of Gregory's quadrature
formula using spline functions] . . . . 70--80
Wilhelm Niethammer Ein numerisches Verfahren zur
analytischen Fortsetzung. (German) [A
numerical method for analytical
continuation] . . . . . . . . . . . . . 81--92
H. S. Alston S. Householder Award . . . . . . i--i
H. I. Medley A note on $G$-generating families and
isolated Gerschgorin disks . . . . . . . 93--95
Jagdish Chandra and
Paul William Davis On the approximation of periodic
solutions of equations with bounded
nonlinearities . . . . . . . . . . . . . 96--108
William J. Gordon and
Charles A. Hall Transfinite element methods:
blending-function interpolation over
arbitrary curved element domains . . . . 109--129
Åke Björck and
Tommy Elfving Algorithms for Confluent Vandermonde
Systems . . . . . . . . . . . . . . . . 130--137
Gregory M. Nielson Bivariate spline functions and the
approximation of linear functionals . . 138--160
D. Braess and
K. P. Hadeler Simultaneous inclusion of the zeros of a
polynomial . . . . . . . . . . . . . . . 161--165
Robert Schaback Konstruktion und algebraische
Eigenschaften von
$M$-Spline-Interpolierenden. (German)
[Construction and algebraic properties
of $M$ spline interpolation] . . . . . . 166--180
Daniel Wulbert A note on polynomial splines with free
knots . . . . . . . . . . . . . . . . . 181--184
D. B. Hunter The numerical evaluation of Cauchy
principal values of integrals by Romberg
integration . . . . . . . . . . . . . . 185--192
G. W. Reddien Projection methods and singular two
point boundary value problems . . . . . 193--205
Hidetosi Takahasi and
Masatake Mori Quadrature formulas obtained by variable
transformation . . . . . . . . . . . . . 206--219
H. Esser and
K. Scherer Eine Bemerkungen zur Konvergenz
Hermitischer Interpolationsprozesse.
(German) [Convergence of Hermite
interpolation processes] . . . . . . . . 220--222
B. N. Parlett Présentation géométrique des méthodes de
calcul des valeurs propres. (French)
[Geometric presentation of methods for
calculation of eigenvalues] . . . . . . 223--233
H. Neunzert and
J. Wick Die Theorie der asymptotischen
Verteilung und die numerische Lösung von
Integrodifferentialgleichungen. (German)
[The theory of asymptotic distribution
and the numerical solution of
integrodifferential equations] . . . . . 234--243
P. Lesaint Finite element methods for symmetric
hyperbolic equations . . . . . . . . . . 244--255
E. Pittnauer Numerische Polynomapproximation mit
Knotenpolynomen. (German) [Numerical
polynomial approximation by knot
polynomials] . . . . . . . . . . . . . . 256--263
W. Sautter Schwankungsbereiche linearer
Optimierungsaufgaben. (German)
[Perturbation analysis of linear
programming problems] . . . . . . . . . 264--269
Jim Douglas, Jr. and
Todd Dupont Superconvergence for Galerkin methods
for the two point boundary problem via
local projections . . . . . . . . . . . 270--278
E. L. Allgower Exact inverses of certain band matrices 279--284
G. W. Stewart Conjugate direction methods for solving
systems of linear equations . . . . . . 285--297
E. Mittermayer Eine Iterationsmethode zur
mehrdimensionalen gleichmäßigen
Approximation bei gegebener Näherung.
(German) [An iterative method for the
more dimensional uniform approximation
by given nearness] . . . . . . . . . . . 298--302
Rolf Jeltsch Integration of iterated integrals by
multistep methods . . . . . . . . . . . 303--316
Ridgway Scott Finite element convergence for singular
data . . . . . . . . . . . . . . . . . . 317--327
Bertil Gustafsson A numerical method for solving singular
boundary value problems . . . . . . . . 328--344
Alan E. Berger $L^2$ error estimates for finite
elements with interpolated boundary
conditions . . . . . . . . . . . . . . . 345--349
Klaus Kansy Elementare Fehlerdarstellung für
Ableitungen bei der
Hermite-Interpolation. (German)
[Elementary error representation for
derivatives by Hermite interpolation] 350--354
Richard Goodman and
Alan Feldstein Round-off error for retarded ordinary
differential equations: a priori bounds
and estimates . . . . . . . . . . . . . 355--372
Masaaki Shimasaki and
Takeshi Kiyono Numerical solution of integral equations
in Chebyshev series . . . . . . . . . . 373--380
James W. Daniel Newton's method for nonlinear
inequalities . . . . . . . . . . . . . . 381--387
A. N. Beavers, Jr. and
E. D. Denman A Computational Method for Eigenvalues
and Eigenvectors of a Matrix with Real
Eigenvalues . . . . . . . . . . . . . . 389--396
Helmut Braß Eine Fehlerabschätzung zum
Quadratureverfahren von Clenshaw und
Curtis. (German) [An error estimation of
the quadrature method of Clenshaw and
Curtis] . . . . . . . . . . . . . . . . 397--403
Walter Gautschi On the condition of algebraic equations 405--424
Ludwig Elsner A remark on simultaneous inclusions of
the zeros of a polynomial by
Gershgorin's theorem . . . . . . . . . . 425--427
Garry Rodrigue A gradient method for the matrix
eigenvalue problem $A x = \lambda B x$ 1--16
Kendall Atkinson Iterative variants of the Nyström method
for the numerical solution of integral
equations . . . . . . . . . . . . . . . 17--31
G. W. Stewart Some iterations for factoring a
polynomial. II: a generalization of the
secant method . . . . . . . . . . . . . 33--36
Johann Schröder and
Ulrich Trottenberg Reduktionsverfahren für
DIfferenzengleichungen bie
Randwertaufgaben. I. (German) [Reduction
method for difference equations for
boundary value problems. I] . . . . . . 37--68
Gerhard Kreisselmeier and
Dietrich Suschowk Ein Algorithmus zur zyklisch invarianten
Zerlegung eines endlich-dimensionalen
Vektorraums bezüglich einer linearen
Selbstabbildung. (German) [An Algorithm
for the Cyclic Invariant Decompositions
of a Finite-Dimensional Vector Space
with Respect to Linear Endomorphism] . . 69--74
C. A. Micchelli and
W. L. Miranker Asymptotically optimal approximation in
fractional Sobolev spaces and the
numerical solution of differential
equations . . . . . . . . . . . . . . . 75--87
Lois Mansfield Higher order compatible triangular
finite elements . . . . . . . . . . . . 89--97
Jim Douglas, Jr. and
Todd Dupont Galerkin approximations for the two
point boundary problem using continuous,
piecewise polynomial spaces . . . . . . 99--109
Klaus Menke Bestimmung von Näherungen für die konforme
Abbildung mit Hilfe von stationären
Punksystemen. (German) [Determination of
the best approximation for conformal
mapping with help of stationary point
system] . . . . . . . . . . . . . . . . 111--117
R. B. Barrar and
Henry L. Loeb Analytic extended monosplines . . . . . 119--125
F. Geistbeck and
A. Sachs Optimale Fehlerabschätzungen mit dualen
Funktionalen bei semilinearen
Randwertaufgaben gewöhnlicher
Differentialgleichungen. (German)
[Optimal error estimations with dual
functionals for boundary value problems
of ordinary semilinear differential
equations] . . . . . . . . . . . . . . . 127--136
Bruno Brosowski and
K.-H. Hoffmann Eine Variationsungleichung und
Anwendungen. (German) [A variational
inequality and its application] . . . . 137--147
Frank Natterer and
Bodo Werner Eine Erweiterung des Maximumsprinzips für
den Laplaceschen Operator. (German) [An
extension of the maximum principle for
the Laplace operator] . . . . . . . . . 149--155
R. S. Anderssen and
P. Bloomfield Numerical differentiation procedures for
non-exact data . . . . . . . . . . . . . 157--182
A. M. Erisman and
J. K. Reid Monitoring the Stability of the
Triangular Factorization of a Sparse
Matrix . . . . . . . . . . . . . . . . . 183--186
W. Knauff and
R. Kreß Optimale Approximation linearer
Funktionale auf periodischen Funktionen.
(German) [Optimal approximation of
linear functionals on periodic
functions] . . . . . . . . . . . . . . . 187--205
M. M. Chawla and
Veena Kaul Optimal rules with polynomial precision
for Hilbert spaces possessing
reproducing kernel functions . . . . . . 207--218
Dietrich Braess Rationale Interpolation, Normalität und
Monosplines. (German) [Rational
interpolation, normality and
monosplines] . . . . . . . . . . . . . . 219--232
Walter R. Richert Zur Fehlerabschätzung für
Eigenwertaufgaben vom Typ $(\lambda^2 I
- \lambda A - B) x = 0$. (German) [Error
bounds construction for eigenvalue
distances of the problem $(\lambda^2 I -
\lambda A - B) x = 0$] . . . . . . . . . 233--239
W. J. Kammerer and
G. W. Reddien and
R. S. Varga Quadratic Interpolatory Splines . . . . 241--259
Matti Mäkelä and
Olavi Nevanlinna and
Aarne H. Sipilä On the concepts of convergence,
consistency, and stability in connection
with some numerical methods . . . . . . 261--274
Walter R. Richert On the handling of eigenvalue problems
with the parameter of nonlinear form . . 275--287
P. Deuflhard A modified Newton method for the
solution of ill-conditioned systems of
nonlinear equations with application to
multiple shooting . . . . . . . . . . . 289--315
M. M. Chawla and
T. R. Ramakrishnan Numerical evaluation of integrals of
periodic functions with Cauchy and
Poisson type kernels . . . . . . . . . . 317--323
L. S. Jennings and
M. R. Osborne A Direct Error Analysis for Least
Squares . . . . . . . . . . . . . . . . 325--332
Peter Kall Approximations to stochastic programs
with complete fixed recourse . . . . . . 333--339
H. T. Kung On computing reciprocals of power series 341--348
Kunio Tanabe Characterization of linear stationary
iterative processes for solving a
singular system of linear equations . . 349--359
Jorma Rissanen Solution of linear equations with Hankel
and Toeplitz matrices . . . . . . . . . 361--366
L. R. Abrahamsson and
H. B. Keller and
H. O. Kreiss Difference approximations for singular
perturbations of systems of ordinary
differential equations . . . . . . . . . 367--391
P. H. Astor and
C. S. Duris Discrete $L$-splines . . . . . . . . . . 393--402
Paula P. Chan A monotone operator method for the
solution of Fredholm integral equations 403--408
R. Hettich Kriterien zweiter Ordnung für lokal beste
Approximationen. (German) [Second-order
conditions for locally best
approximations] . . . . . . . . . . . . 409--417
J. Wimp Toeplitz arrays, linear sequence
transformations and orthogonal
polynomials . . . . . . . . . . . . . . 1--17
F. Pecka On equally weighted quadratures . . . . 19--22
A. Voigt Line method approximations to the Cauchy
problem for nonlinear parabolic
differential equations . . . . . . . . . 23--36
M. S. Mock Solution of a nonlinear two point
boundary value problem . . . . . . . . . 37--46
Yves-Marie J. Demoulin and
Y. M. Chen An iteration method for studying the
bifurcation of solutions of the
nonlinear equations, $L(\lambda)u+
\epsilon R( \lambda,u)=0$ . . . . . . . 47--61
M. La Porte and
J. Vignes Étude Statistique des Erreurs Dans
l'Arithmétique des Ordinateurs;
Application au Contrôle des Résultats
d'Algorithmes Numériques. (French)
[Statistical Study of Errors in Computer
Arithmetic: Application to the Control
of the Results of Numerical Algorithms] 63--72
M. La Porte and
J. Vignes Méthode Numérique de Détection de la
Singularité d'Une Matrice. (French)
[Numerical method of detection of matrix
singularity] . . . . . . . . . . . . . . 73--81
Paul Morel Sur le probl\`eme inverse des valeurs
propres. (French) [On the Inverse
Eigenvalue Problem] . . . . . . . . . . 83--94
B. Herz Zerfallende Tridiagonalematrizen und
aneinandergesetzte Sturmsche Ketten.
(German) [Decomposable tridiagonal
matrices and contiguous Sturm sequences] 95--98
R. A. Nicolaides On a Geometrical Aspect of SOR and the
Theory of Consistent Ordering for
Positive Definite Matrices . . . . . . . 99--104
R. B. Barrar and
Henry L. Loeb and
Helmut Werner On the existence of optimal integration
formulas for analytic functions . . . . 105--117
Robert D. Russell Collocation for systems of boundary
value problems . . . . . . . . . . . . . 119--133
H. R. Schwarz The method of coordinate overrelaxation
for $(A- \lambda B)x=0$ . . . . . . . . 135--151
J. T. King New error bounds for the penalty method
and extrapolation . . . . . . . . . . . 153--165
E. Gekeler On the convergence of the von Neumann
difference approximation to hyperbolic
initial boundary value problems . . . . 167--174
Gershon Kedem and
S. K. Zaremba A table of good lattice points in three
dimensions . . . . . . . . . . . . . . . 175--180
Günther Schuller On the order of convergence of certain
quasi-Newton methods . . . . . . . . . . 181--192
Jim Douglas, Jr. and
Todd Dupont and
Lars Wahlbin The stability in $L^q$ of the
$L^2$-projection into finite element
function spaces . . . . . . . . . . . . 193--197
F. de Hoog and
R. Weiss Implicit Runge--Kutta methods for second
kind Volterra integral equations . . . . 199--213
F. Chatelin and
M. J. Lemordant La méthode de Rayleigh--Ritz appliquée \`a
des opérateurs différentielles elliptiques
--- ordres de convergence des éléments
propres. (French) [The Rayleigh--Ritz
method applied to elliptic differential
operators --- orders of convergence of
proper elements] . . . . . . . . . . . . 215--222
David A. Sánchez An iteration scheme for boundary
value/alternative problems . . . . . . . 223--230
K. S. Thomas On the approximate solution of operator
equations . . . . . . . . . . . . . . . 231--239
A. van der Sluis Stability of the Solutions of Linear
Least Squares Problems . . . . . . . . . 241--254
Yehoshua Vitek A bound connected with primitive
matrices . . . . . . . . . . . . . . . . 255--260
V. Pereyra and
E. G. Sewell Mesh selection for discrete solution of
boundary problems in ordinary
differential equations . . . . . . . . . 261--268
G. Fairweather and
J. P. Johnson On the extrapolation of Galerkin methods
for parabolic problems . . . . . . . . . 269--287
Lars Wahlbin Error estimates for a Galerkin method
for a class of model equations for long
waves . . . . . . . . . . . . . . . . . 289--303
Alexandru I. \cSchiop On the stability of the Ritz procedure
for nonlinear problems . . . . . . . . . 305--310
David Elliott and
D. F. Paget On the convergence of a quadrature rule
for evaluating certain Cauchy principal
value integrals . . . . . . . . . . . . 311--319
Manfred Reimer Auswertungsverfahren für Polynome in
mehreren Variablen. (German) [Evaluation
schemes for polynomials in more than one
variable] . . . . . . . . . . . . . . . 321--336
Walter Gautschi Norm Estimates for Inverses of
Vandermonde Matrices . . . . . . . . . . 337--347
Jean-Claude Lafon Base tensorielle de matrices de Hankel
(ou de Toeplitz): Applications. (French)
[Tensorial bases of Hankel (or Toeplitz)
matrices Applications] . . . . . . . . . 349--361
C. Brezinski Forme confluente de
l'$\varepsilon$-algorithme topologique.
(French) [Confluent form of the
topological $\varepsilon$-algorithm] . . 363--370
Steve F. McCormick An iterative procedure for the solution
of constrained nonlinear equations with
application to optimization problems . . 371--385
Frank Natterer Das Differenzenverfahren für singuläre
Rand-Eigenwertaufgaben gewönlicher
Differentialgleichungen. (German) [The
difference method for singular
boundary/eigenvalues of ordinary
differential equations] . . . . . . . . 387--409
Ole H. Hald On a Newton-Moser type method . . . . . 411--426
E. Pittnauer Eine Aussage über Alternanten. (German)
[A proposition on alternants] . . . . . 427--432
Johan Schröder Upper and lower bounds for solutions of
generalized two-point boundary value
problems . . . . . . . . . . . . . . . . 433--457
Walter Gautschi Optimally Conditioned Vandermonde
Matrices . . . . . . . . . . . . . . . . 1--12
K. Salkauskas On weight functions for Chebyshev
quadrature . . . . . . . . . . . . . . . 13--18
Harold Greenberg An algorithm for determining redundant
inequalities and all solutions to convex
polyhedra . . . . . . . . . . . . . . . 19--26
B. J. Omodei and
R. S. Anderssen Stability of the Rayleigh--Ritz
procedure for nonlinear two-point
boundary value problems . . . . . . . . 27--38
M. La Porte and
J. Vignes Evaluation de l'incertitude sur la
solution d'un syst\`eme linéaire.
(French) [Evaluation of the uncertainty
in the solution of a linear system] . . 39--47
Emeric Deutsch On matrix norms and logarithmic norms 49--51
M. S. Mock A global a posteriori error estimate for
quasilinear elliptic problems . . . . . 53--61
E. Deutsch and
C. Zenger On Bauer's generalized Gershgorin discs 63--70
Tetsuro Yamamoto On the distribution of errors in the
iterative solution of a system of linear
equations . . . . . . . . . . . . . . . 71--79
C. J. Henrich On the numerical evaluation of a sum
involving binomial coefficients . . . . 81--83
G. W. Stewart The convergence of the method of
conjugate gradients at isolated extreme
points of the spectrum . . . . . . . . . 85--93
R. A. Nicolaides On the local convergence of certain two
step iterative procedures . . . . . . . 95--101
F. Brezzi Sur la méthode des éléments finis hybrides
pour le probl\`eme biharmonique.
(French) [On Hybrid Finite Element
Methods for the Biharmonic Problem] . . 103--131
M. Davies and
B. Dawson On the global convergence of Halley's
iteration formula . . . . . . . . . . . 133--135
Wolf Hofmann Monotoniesätze für hyperbolische
Anfangswertaufgaben und Einschließung von
Lösungen. (German) [Monotonicity theorems
for hyperbolic initial value problems
and solution enclosure] . . . . . . . . 137--149
J. H. Lightbourne, III and
R. H. Martin, Jr. Projection seminorms and the field of
values of linear operators . . . . . . . 151--161
Allan Pinkus Asymptotic minimum norm quadrature
formulae . . . . . . . . . . . . . . . . 163--175
Claus Schneider Vereinfachte Rekursionen zur
Richardson-Extrapolation in
Spezialfällen. (German) [Simplified
recursions for Richardson extrapolation
in special cases] . . . . . . . . . . . 177--184
Milton E. Rose Weak-element approximations to elliptic
differential equations . . . . . . . . . 185--204
H. R. Kutt The numerical evaluation of principal
value integrals by finite-part
integration . . . . . . . . . . . . . . 205--210
Fumio Kiluchi On a finite element scheme based on the
discrete Kirchhoff assumption . . . . . 211--231
U. Hornung Euler method for neutral
functional-differential equation . . . . 233--240
S. Pruess High order approximations to
Sturm--Liouville eigenvalues . . . . . . 241--247
U. Marcowitz Fehlerabschätzung bei Anfangswertaufgaben
für Systeme von gewönlichen
Differentialgleichungen mit Anwendungen
auf das REENTRY-Problem. (German) [Error
estimation in initial value problems for
systems of ordinary differential
equations with an application to the
REENTRY problem] . . . . . . . . . . . . 249--275
G. G. L. Meyer A systematic approach to the synthesis
of algorithms . . . . . . . . . . . . . 277--289
Richard J. Hanson and
James L. Phillips An adaptive numerical method for solving
linear Fredholm integral equations of
the first kind . . . . . . . . . . . . . 291--307
Claus Günther Zweidimensionale Quadraturformeln von
Grad 7 mit 14 Punkten. (German) [Two
dimensional quadrature formulae of
degree seven with fourteen common zeros] 309--316
H. Voss Projectionsverfahren für Randwertaufgaben
mit nichtlinearen Randbedingungen.
(German) [Projection methods for
boundary value problems with nonlinear
boundary conditions] . . . . . . . . . . 317--329
W. Busch and
R. Esser and
W. Hackbusch and
U. Herrmann Extrapolation applied to the method of
characteristics for a first order system
of two partial differential equations.
I. The initial value problem . . . . . . 331--353
Rolf Dieter Grigorieff Diskrete Approximation von
Eigenwertproblemen. I. Qualitative
Konvergenz. (German) [Discrete
approximation of the eigenvalue problem.
I. Qualitative convergence] . . . . . . 355--374
A. Demmler and
C. Reinsch Oscillation matrices with spline
smoothing . . . . . . . . . . . . . . . 375--382
Grace Wahba Smoothing noisy data with spline
functions . . . . . . . . . . . . . . . 383--393
Takao Tsuda Nonlinear interpolation of functions of
very many variables . . . . . . . . . . 395--414
Rolf Dieter Grigorieff Diskrete Approximation von
Eigenwertproblemen. II.
Konvergenzordnung. (German) [Discrete
approximation of eigenvalue problems.
II. Convergence order] . . . . . . . . . 415--433
P. Wesseling An asymptotic expansion for product
integration applied to Cauchy principal
value integrals . . . . . . . . . . . . 435--442
Konrad Schumacher Iterative Optimierungsverfahren, die
unter schwachen Voraussetzungen
konvergien. (German) [Iterative
optimisation, convergence under weak
assumptions] . . . . . . . . . . . . . . 443--456
E. B. Saff and
R. S. Varga On the zeros and poles of Padé
approximants to $e^z$ . . . . . . . . . 1--14
Wilhelm Forst Zur Optimalität interpolatorischer
Quadraturformeln periodischer
Funktionen. (German) [Optimal formulas
of interpolatory type for the quadrature
of periodic functions] . . . . . . . . . 15--21
Frank Stenger Computing the topological degree of a
mapping in $R^n$ . . . . . . . . . . . . 23--38
Syvert P. Nòrsett $C$-polynomials for rational
approximation to the exponential
function . . . . . . . . . . . . . . . . 39--56
Alastair Spence On the convergence of the Nyström method
for the integral equation eigenvalue
problem . . . . . . . . . . . . . . . . 57--66
Frank Natterer Uber die punktweise Konvergenz Finiter
Elemente. (German) [On the pointwise
convergence of finite elements] . . . . 67--77
Rolf Dieter Grigorieff Diskrete Approximation von
Eigenwerteproblemen. III. Asymptotische
Entwicklungen. (German) [Discrete
approximation of eigenvalue-problems.
III. Asymptotic expansions] . . . . . . 79--97
P. Midy An improved calculation of the general
elliptic integral of the second kind in
the neighbourhood of $x = 0$ . . . . . . 99--101
Peter Linz Convergence of a discretization method
for integro-differential equations . . . 103--107
R. Hettich Kriterien erster und zweiter Ordnung für
lokal beste Approximationen bei
Problemen mit Nebenbedingungen. (German)
[On first and second order conditions
for locally best approximations for
constraint problems] . . . . . . . . . . 109--122
G. W. Stewart Simultaneous iteration for computing
invariant subspaces of non-Hermitian
matrices . . . . . . . . . . . . . . . . 123--136
G. W. Stewart The economical storage of plane
rotations . . . . . . . . . . . . . . . 137--138
Ann Haegemans and
Robert Piessens Construction of cubature formulas of
degree eleven for symmetric planar
regions, using orthogonal polynomials 139--148
W. Knauff and
R. Kreß Optimale Approximation mit
Nebenbedingungen an lineare Funktionale
auf periodischen Funktionen. (German)
[Optimal approximation with side
conditions to linear functionals on
periodic functions] . . . . . . . . . . 149--152
R. J. Plemmons Regular Splittings and the Discrete
Neumann Problem . . . . . . . . . . . . 153--161
R. W. Thatcher The use of infinite grid refinements at
singularities in the solution of
Laplace's equation . . . . . . . . . . . 163--178
K. Veseli\'c A convergent Jacobi method for solving
the eigenproblem of arbitrary real
matrices . . . . . . . . . . . . . . . . 179--184
H. M. Möller Kubaturformeln mit minimaler Knotenzahl.
(German) [Minimum-point cubature
formulas] . . . . . . . . . . . . . . . 185--200
Tassilo Küpper Einschließungsenaussagen für gewönliche
Differentialoperatoren. (German)
[Range-domain implications for ordinary
differential operators] . . . . . . . . 201--214
Robert E. Barnhill and
John A. Gregory Sard kernel theorems on triangular
domains with application to finite
element error bounds . . . . . . . . . . 215--229
Ian H. Sloan Error analysis for a class of
degenerate-kernel methods . . . . . . . 231--238
Kurt Jetter Optimale Quadraturformeln mit
semidefiniten Peano-Kernen. (German)
[Optimal integration formulas with
semidefinite Peano-kernels] . . . . . . 239--249
R. B. Barrar and
Henry L. Loeb Multiple zeros and applications to
optimal linear functionals . . . . . . . 251--262
J. A. Nitsche Der Einfluß von Randsingularitäten beim
Ritzschen Verfahren. (German) [Solution
effects of the Ritz method] . . . . . . 263--278
Vlastimil Pták The rate of convergence of Newton's
process . . . . . . . . . . . . . . . . 279--285
David Elliott and
D. F. Paget On the convergence of a quadrature rule
for evaluating certain Cauchy principal
value integrals: an addendum . . . . . . 287--289
G. Alefeld and
R. S. Varga Zur Konvergenz des symmetrischen
Relaxationsverfahren. (German) [On the
convergence of the symmetric SOR method] 291--295
Ulrich Trottenberg Lösung linearer gewönlicher
Randwertaufgaben 4. Ordnung mit Hilfe
von Aufspaltungen. (German) [Solving
linear ordinary boundary value problems
of the fourth order by means of
splittings] . . . . . . . . . . . . . . 297--306
E. B. Saff and
A. Schönhage and
R. S. Varga Geometric convergence to $e^{-z}$ by
rational functions with real poles . . . 307--322
Robert A. LaBudde and
Donald Greenspan Energy and momentum conserving methods
of arbitrary order for the numerical
integration of equations of motion. I.
Motion of a single particle . . . . . . 323--346
P. J. Anderson and
G. Loizou A Jacobi type method for complex
symmetric matrices . . . . . . . . . . . 347--363
Soon Park Chung Generalization and acceleration of an
algorithm of Sebastiao e Silva and its
duals . . . . . . . . . . . . . . . . . 365--377
M. M. Chawla and
V. Kaul Optimal rules with polynomial precision
for Hilbert spaces possessing
reproducing kernel functions. II. Error
bounds . . . . . . . . . . . . . . . . . 379--382
E. Hairer and
G. Wanner A theory for Nyström methods . . . . . . 383--400
Robert E. Barnhill and
John A. Gregory Interpolation remainder theory from
Taylor expansions on triangles . . . . . 401--408
Reinhard Frank The method of iterated defect-correction
and its application to two-point
boundary value problems. I . . . . . . . 409--419
M. Omladi\vc and
S. Pahor and
A. Suhadolc On a new type of quadrature formulas . . 421--426
G. W. Reddien and
L. L. Schumaker On a collocation method for singular two
point boundary value problems . . . . . 427--432
J. Baumeister Über die Extremaleigenschaft
nichtlinearer interpolierender Splines.
(German) [On the extremal property of
nonlinear interpolating splines] . . . . 433--445
Ludwig Cromme Eine Klasse von Verfahren zur Ermittlung
bester nichtlinearer
Tschebyscheff-Approximationen. (German)
[A class of numerical procedures for
finding best nonlinear Chebyshev
approximations] . . . . . . . . . . . . 447--459
Tetsuro Yamamoto On the distribution of errors in the
iterative solution of a system of linear
equations. II . . . . . . . . . . . . . 461--463
Robert A. LaBudde and
Donald Greenspan Energy and momentum conserving methods
of arbitrary order for the numerical
integration of equations of motion. II.
Motion of a system of particles . . . . 1--16
Hanjörg Linden Obere Schranken für Eigenwerte von
Eigenwertaufgaben der Form $(\lambda^2 -
\lambda A - B) x = 0$. (German) [Upper
bounds for eigenvalues of quadratic
eigenvalue problems of the forms
$(\lambda^2 \lambda A - B) x = 0$] . . . 17--26
J.-P. Eckmann On the computation of the Galois group
over the quotient field of $C(\lambda)$ 27--37
V. Girault A combined finite element and Marker and
Cell method for solving Navier--Stokes
equations . . . . . . . . . . . . . . . 39--59
R. M. M. Mattheij and
A. van der Sluis Error estimates for Miller's algorithm 61--78
Claes Johnson On finite element methods for plasticity
problems . . . . . . . . . . . . . . . . 79--84
J. Haslinger and
I. Hlavá\vcek A mixed finite element method close to
the equilibrium model . . . . . . . . . 85--97
B. David Saunders and
Hans Schneider A symmetric numerical range for matrices 99--105
M. A. Noor and
J. R. Whiteman Error bounds for finite element
solutions of mildly nonlinear elliptic
boundary value problems . . . . . . . . 107--116
William B. Jones and
W. J. Thron Truncation error analysis by means of
approximant systems and inclusion
regions . . . . . . . . . . . . . . . . 117--154
James C. Cavendish and
William J. Gordon and
Charles A. Hall Ritz--Galerkin approximations in
blending function spaces . . . . . . . . 155--178
D. H. Anderson and
M. R. Osborne Discrete, linear approximation problems
in polyhedral norms . . . . . . . . . . 179--189
C. A. Micchelli and
T. J. Rivlin and
S. Winograd The optimal recovery of smooth functions 191--200
Diethard Pallaschke Optimale Differentiations- und
Integrationsformeln in $C_0[a,b]$.
(German) [Optimal differentiation and
integration formulae in $C_0(a,b)$] . . 201--210
E. B. Saff and
R. S. Varga and
W.-C. Ni Geometric convergence of rational
approximations to $e^{-z}$ in infinite
sectors . . . . . . . . . . . . . . . . 211--225
E. B. Saff and
R. S. Varga Erratum: ``On the zeros and poles of Padé
approximants to $e^z$'' . . . . . . . . 226--226
E. B. Saff and
A. Schönhage and
R. S. Varga Errata: ``Geometric convergence to
$e^{-z}$ by rational functions with real
poles'' . . . . . . . . . . . . . . . . 226--226
John H. Cerutti and
Seymour V. Parter Collocation methods for parabolic
partial differential equations in one
space dimension . . . . . . . . . . . . 227--254
Tetsuhiko Miyoshi A mixed finite element method for the
solution of the von Karman equations . . 255--269
M. N. Spijker On the possibility of two-sided error
bounds in the numerical solution of
initial value problems . . . . . . . . . 271--300
Friedrich Stummel Weak stability and weak discrete
convergence of continuous mappings . . . 301--315
Irene Gargantini Parallel Laguerre iterations: the
complex case . . . . . . . . . . . . . . 317--323
Maurice Mignotte Note sur la méthode Bernoulli. (French)
[A note on Bernoulli's method] . . . . . 325--326
P. Deuflhard and
H.-J. Pesch and
P. Rentrop A modified continuation method for the
numerical solution of nonlinear
two-point boundary value problems by
shooting techniques . . . . . . . . . . 327--343
E. B. Saff and
R. S. Varga On the sharpness of theorems concerning
zero-free regions for certain sequences
of polynomials . . . . . . . . . . . . . 345--354
Boles\law Kacewicz An integral-interpolation iterative
method for the solution of scalar
equations . . . . . . . . . . . . . . . 355--365
M. S. Mock Explicit finite element schemes for
first order symmetric hyperbolic systems 367--378
K. Taubert Differenzverfahren für Schwingungen mit
trockener und zäher Reibung und für
Regelungssysteme. (German) [A finite
difference method in forced vibrations
with combined viscous and Coulomb
damping and in feedback control systems] 379--395
M. van Veldhuizen A refinement process for collocation
approximations . . . . . . . . . . . . . 397--407
G. Alefeld Zur Konvergenz des
Peaceman--Rachford-Verfahrens. (German)
[On the convergence of the
Peaceman--Rachford iterative method] . . 409--419
Jürgen Sprekels Existenz und erste Einschließung
positiver Lösungen bei superlinearen
Randwertaufgaben zweiter Ordnung.
(German) [Existence and first bounds of
positive solutions of superlinear
second-order boundary value problems] 421--428
Johann Schröder and
Ulrich Trottenberg and
Heinz Reutersberg Reduktionsverfahren für
DIfferenzengleichungen bie
Randwertaufgaben. II. (German) [Solving
difference equations for boundary value
problems by reduction methods. II] . . . 429--459
Bruce A. Chartres and
Robert S. Stepleman Convergence of linear multistep methods
for differential equations with
discontinuities . . . . . . . . . . . . 1--10
P. Hallet and
J. P. Hennart and
E. H. Mund A Galerkin method with modified
piecewise polynomials for solving a
second-order boundary value problem . . 11--20
Pedro E. Zadunaisky On the estimation of errors propagated
in the numerical integration of ordinary
differential equations . . . . . . . . . 21--39
T. N. L. Patterson On high precision methods for the
evaluation of Fourier integrals with
finite and infinite limits . . . . . . . 41--52
E. Wagenführer Ein Verfahren höherer Konvergenzordnung
zur Berechnung des charakteristischen
Exponenten der Mathieuschen
Differentialgleichung. (German) [A
method of high order convergence for
calculating the characteristic exponent
of Mathieu's differential equation] . . 53--65
K. Veseli\'c Some convergent Jacobi-like procedures
for diagonalising $J$-symmetric matrices 67--75
G. Claessens A new algorithm for oscillatory rational
interpolation . . . . . . . . . . . . . 77--83
J. Matthys A-stable linear multistep methods for
Volterra integro-differential equations 85--94
James R. Bunch and
Linda Kaufman and
Beresford N. Parlett Decomposition of a Symmetric Matrix . . 95--109
Tassilo Küpper Pointwise lower and upper bounds for
eigenfunctions of ordinary differential
operators . . . . . . . . . . . . . . . 111--119
Eldon Hansen and
Merrell Patrick Estimating the multiplicity of a root 121--131
François Robert Autour du théor\`eme de Stein--Rosenberg.
(French) [More about the
Stein--Rosenberg theorem] . . . . . . . 133--141
J. G. Verwer On generalized linear multistep methods
with zero-parasitic roots and an
adaptive principal root . . . . . . . . 143--155
Bran E. White On optimal extreme-discrepancy point
sets in the square . . . . . . . . . . . 157--164
J. R. Cash A note on the iterative solution of
recurrence relations . . . . . . . . . . 165--170
U. von Welck Ein stabiles Schichtenverfahren für
allgemeine lineare
Evolutionsgleichungen. (German) [A
stable line method for general linear
evolution equations] . . . . . . . . . . 171--178
Hans-Peter Blatt Rationale Tschebyscheff-Approximation
über unbeschränkten Intervallen. (German)
[Rational Chebyshev approximation on
unbounded intervals] . . . . . . . . . . 179--190
Hans-Peter Blatt Zur Stetigkeit rationaler
T-Approximationen über unbeschränkten
Intervallen. (German) [Continuity of
best rational approximations on
unbounded intervals] . . . . . . . . . . 191--202
F. Cordellier Particular rules for the vector
$\epsilon$-algorithm . . . . . . . . . . 203--207
L. M. Delves and
M. Bain On the optimum choice of weight
functions in a class of variational
calculations . . . . . . . . . . . . . . 209--218
M. Bain and
L. M. Delves The convergence rates of expansions in
Jacobi polynomials . . . . . . . . . . . 219--225
Jens Lorenz Zur Inversmonotonie diskreter Probleme.
(German) [On the monotone kind-property
of discrete problems] . . . . . . . . . 227--238
Evangelos K. Ifantis and
Christos B. Kouris Lower bounds for the zeros of analytic
functions . . . . . . . . . . . . . . . 239--247
Ole H. Hald Discrete inverse Sturm--Liouville
problems. I. Uniqueness for symmetric
potentials . . . . . . . . . . . . . . . 249--256
Eldon Hansen and
Merrell Patrick A family of root finding methods . . . . 257--269
J. C. P. Bus Convergence of Newton-like methods for
solving systems of nonlinear equations 271--281
E. Hairer Méthodes de Nyström pour l'équation
différentielle $y''=f(x,y)$. (French)
[Nyström methods for the differential
equation $y''=f(x,y)$] . . . . . . . . . 283--300
William H. Ling and
Harry W. McLaughlin and
Mary Lynn Smith A computational procedure for the
approximation of random functions . . . 301--305
Jean Meinguet and
Jean Descloux An operator-theoretical approach to
error estimation . . . . . . . . . . . . 307--326
Olof Widlund On best error bounds for approximation
by piecewise polynomial functions . . . 327--338
Kristian Witsch Konvergenzaussagen für
Projectionsverfahren bei linearen
Operatoren. (German) [Convergence of
projection methods for linear operators] 339--354
Gerhard Schmeisser A representation for the remainder of
the Maclaurin quadrature formula . . . . 355--358
J. G. Verwer $S$-stability properties for generalized
Runge--Kutta methods . . . . . . . . . . 359--370
V. Conrad and
Y. Wallach A faster SSOR algorithm . . . . . . . . 371--372
H. Wo\'zniakowski Numerical Stability for Solving
Nonlinear Equations . . . . . . . . . . 373--390
Charles R. Johnson Locally compatible generalized matrix
norms . . . . . . . . . . . . . . . . . 391--394
Augustin Paulik Zur existenz optimaler Quadraturformeln
mit freien Knoten bei Integration
analytischer Funktionen. (German) [On
the existence of optimal integration
formulas with free nodes for analytic
functions] . . . . . . . . . . . . . . . 395--405
R. Frank The method of iterated defect-correction
and its application to two-point
boundary value problems. II . . . . . . 407--420
Diethard Pallaschke Konvergenz optimaler
Differentiationsformeln. (German)
[Convergence of optimal differentiation
formulas] . . . . . . . . . . . . . . . 421--426
R. V. M. Zahar A mathematical analysis of Miller's
algorithm . . . . . . . . . . . . . . . 427--447
H.-J. Diekhoff and
P. Lory and
H. J. Oberle and
H.-J. Pesch and
P. Rentrop and
R. Seydel Comparing routines for the numerical
solution of initial value problems of
ordinary differential equations in
multiple shooting . . . . . . . . . . . 449--469
Richard Haverkamp Sturm--Liouville-Probleme mit schwach
singulären Koeffizientenfunktionen. Teil
I. Eigenwertproblem. (German) [Weak
singular Sturm--Liouville problems. I.
Eigenvalue problem] . . . . . . . . . . 471--484
Carl de Boor and
Allan Pinkus A Backward Error Analysis for Totally
Positive Linear Systems . . . . . . . . 485--490
B. F. Sherman A counterexample to Greenberg's
algorithm for solving linear
inequalities . . . . . . . . . . . . . . 491--492
Owe Axelsson Error estimates for Galerkin methods for
quasilinear parabolic and elliptic
differential equations in divergence
form . . . . . . . . . . . . . . . . . . 1--14
J. Rappaz Approximation of the spectrum of a
non-compact operator given by the
magnetohydrodynamic stability of a
plasma . . . . . . . . . . . . . . . . . 15--24
Göran Starius Constructing orthogonal curvilinear
meshes by solving initial value problems 25--48
Hermann Engels Eine Familie interpolatorischer
Quadraturformeln mit ableitungsfreien
Fehlerschranken. (German) [A family of
quadrature formulas having error bounds
without derivatives] . . . . . . . . . . 49--58
Walter Gautschi and
Giovanni Monegato On optimal Chebyshev-type quadratures 59--67
Henning Esser Stabilitätsungleichung für
Diskretisierungen von Randwertaufgaben
gewönlicher Differentialgleichungen.
(German) [Stability inequalities for
discretizations of boundary value
problems in ordinary differential
equations] . . . . . . . . . . . . . . . 69--100
Ludwig Cromme Numerische Methoden zur Behandlung
einiger Problemklassen der nichtlinearen
Tschebyscheff-Approximation mit
Nebenbedingungen. (German) [Numerical
methods for constrained nonlinear
Chebyshev approximation] . . . . . . . . 101--117
E. B. Saff and
R. S. Varga Erratum: ``On the sharpness of theorems
concerning zero-free regions for certain
sequences of polynomials'' (Numer. Math.
\bf 26 (1976), no. 4, 345--354) . . . . 119--119
JHW Alston S. Householder award
(1977)---final notice . . . . . . . . . 120--120
Wolfgang Hackbusch Extrapolation applied to certain
discretization methods solving the
initial value problem for hyperbolic
differential equations . . . . . . . . . 121--142
D. H. Anderson and
M. R. Osborne Discrete, nonlinear approximation
problems in polyhedral norms . . . . . . 143--156
D. H. Anderson and
M. R. Osborne Discrete, nonlinear approximation
problems in polyhedral norms: a
Levenberg-like algorithm . . . . . . . . 157--170
W. F. Langford Numerical solution of bifurcation
problems for ordinary differential
equations . . . . . . . . . . . . . . . 171--190
H. Wo\'zniakowski Numerical Stability of the Chebyshev
Method for the Solution of Large Linear
Systems . . . . . . . . . . . . . . . . 191--209
Lieuwe Sytse de Jong Towards a Formal Definition of Numerical
Stability . . . . . . . . . . . . . . . 211--219
Achiya Dax and
S. Kaniel Pivoting Techniques for Symmetric
Gaussian Elimination . . . . . . . . . . 221--241
Gòran Starius Composite mesh difference methods for
elliptic boundary value problems . . . . 243--258
George J. Fix and
Morton E. Gurtin On patched variational principles with
application to elliptic and mixed
elliptic-hyperbolic problems . . . . . . 259--271
Victor Klee and
Pauline van den Driessche Linear algorithms for testing the sign
stability of a matrix and for finding
$Z$-matrix matchings an acyclic graphs 273--285
Lazaros P. Mavrides Optimisation under nonnegativity
constraints . . . . . . . . . . . . . . 287--293
M. Atteia Évaluation de l'erreur dans la méthode des
éléments finis. (French) [Error in the
finite elements method] . . . . . . . . 295--306
Thomas A. Manteuffel The Tchebychev iteration for
nonsymmetric linear systems . . . . . . 307--327
Frank Natterer Regularisierung schlecht gestellter
Probleme durch Projectionsverfahren.
(German) [Regularization of ill-posed
problems by projection methods] . . . . 329--341
J. Stoer On the relation between quadratic
termination and convergence properties
of minimization algorithms. I. Theory 343--366
P. Baptist and
J. Stoer On the relation between quadratic
termination and convergence properties
of minimisation algorithms. II.
Applications . . . . . . . . . . . . . . 367--391
Ray M. Redheffer Fehlerabschätzung bei nichtlinearer
Differentialgleichungen mit Hilfe
linearer Differentialgleichungen.
(German) [Error estimation in nonlinear
problems by use of a family of linear
differential inequalities] . . . . . . . 393--405
J. L. Gout Estimation de l'erreur d'interpolation
d'Hermite dans ${\bf R}^n$. (French)
[Estimation of the Hermite interpolation
error in ${\bf R}^n$] . . . . . . . . . 407--429
Franco Brezzi and
William W. Hager and
P. A. Raviart Error estimates for the finite element
solution of variational inequalities. I.
Primal theory . . . . . . . . . . . . . 431--443
Olavi Nevanlinna On the behaviour of global errors at
infinity in the numerical integration of
stable initial value problems . . . . . 445--454
W. Hackbusch Extrapolation to the limit for numerical
solutions of hyperbolic equations . . . 455--474
M. van Veldhuizen A Note on Partial Pivoting and Gaussian
Elimination . . . . . . . . . . . . . . 1--10
Jürgen Scheurle Ein selektives
Projektions-Iterationsverfahren und
Anwendungen auf Verzweigungsprobleme.
(German) [A selective
projection-iteration method and
bifurcation] . . . . . . . . . . . . . . 11--35
Webb Miller Roundoff analysis and sparse data . . . 37--43
Franz-Josef Drexler Eine Methode zur Berechnung sämtlicher
Lösungen von Polynomgleichungssystemen.
(German) [A method for computing all
solutions of systems of polynomial
equations] . . . . . . . . . . . . . . . 45--58
Björn von Sydow Error estimates for Gaussian quadrature
formulae . . . . . . . . . . . . . . . . 59--64
U. von Welck Stabile Merhschichtverfahren für
parabolische Evolutionsgleichungen.
(German) [Stable multi-line methods for
evolution equations of parabolic type] 65--82
R. W. Owens An algorithm for best approximate
solutions of Ax=b with a smooth strictly
convex norm . . . . . . . . . . . . . . 83--91
K. Glashoff and
E. Sachs On theoretical and numerical aspects of
the bang-bang-principle . . . . . . . . 93--113
Nai-Kuan Tsao Newton interpolation is efficient for
approximation of linear functionals . . 115--122
Dietrich Braess Über die Einzugsbereiche der Nullstellen
von Polynomen beim Newton-Verfahren.
(German) [On the regions of attraction
when computing the roots of polynomials
with the Newton-method] . . . . . . . . 123--132
Alastair Spence Error bounds and estimates for
eigenvalues of integral equations . . . 133--147
Joachim Hartung A stable interior penalty method for
convex extremal problems . . . . . . . . 149--158
William G. Kolata Approximation in variationally posed
eigenvalue problems . . . . . . . . . . 159--171
C. Brezinski Convergence acceleration of some
sequences by the $\epsilon$-algorithm 173--177
Ludwig Cromme Strong uniqueness: a far-reaching
criterion for the convergence analysis
of iterative procedures . . . . . . . . 179--193
K. Kilberth Iterative Berechnung mehrfacher Lösungen
von Hammersteinschen
Integralgleichungen. (German) [Iterative
calculation of multiple solutions of
Hammerstein integral equations] . . . . 195--207
Wulf-Jürgen Beyn Zur Stabilität von Differenzenverfahren
für Systeme linearer gewöhnlicher
Randwertaufgaben. (German) [On the
stability of difference approximations
to systems of linear ordinary boundary
value problems] . . . . . . . . . . . . 209--226
G. Claessens A useful identity for the rational
Hermite interpolation table . . . . . . 227--231
Tohru Morita Calculation of the complete elliptic
integrals with complex modulus . . . . . 233--236
E. L. Allgower and
S. F. McCormick Newton's method with mesh refinements
for numerical solution of nonlinear
two-point boundary value problems . . . 237--260
David A. Field Error bounds for continued fractions
$K(1/b_n)$ . . . . . . . . . . . . . . . 261--267
Eli Turkel Extrapolation methods for dynamic
partial differential equations . . . . . 269--285
D. S. Henderson and
A. Wassyng A new method for the solution of Ax=b 287--289
T. A. Porsching Error estimates for MAC-like
approximations to the linear
Navier--Stokes equations . . . . . . . . 291--306
A. S. L. Shieh On the convergence of the conjugate
gradient method for singular capacitance
matrix equations from the Neumann
problem of the Poisson equation . . . . 307--327
Gunter H. Meyer The method of lines for Poisson's
equation with nonlinear or free boundary
conditions . . . . . . . . . . . . . . . 329--344
Frank Stenger Optimal convergence of minimum norm
approximations in $H_p$ . . . . . . . . 345--362
E. Spedicato and
J. Greenstadt On some classes of variationally derived
quasi-Newton methods for systems of
nonlinear algebraic equations . . . . . 363--380
P. Albrecht On the order of composite multistep
methods for ordinary differential
equations . . . . . . . . . . . . . . . 381--396
C. Wayne Mastin and
Joe F. Thompson Transformation of three-dimensional
regions onto rectangular regions by
elliptic systems . . . . . . . . . . . . 397--407
E. Hairer On the order of iterated defect
correction --- an algebraic proof . . . 409--424
Hans J. Stetter The defect correction principle and
discretization methods . . . . . . . . . 425--443
Walter Gautschi On inverses of Vandermonde and confluent
Vandermonde matrices. III . . . . . . . 445--450
Hans-Detlef Mittelmann On the approximate solution of nonlinear
variational inequalities . . . . . . . . 451--462
J. H. Wilkinson The Alston S. Householder Award . . . . 463--463
J. W. Lee and
P. M. Prenter An analysis of the numerical solution of
Fredholm integral equations of the first
kind . . . . . . . . . . . . . . . . . . 1--23
Rolf Jeltsch and
L. Kratz On the stability properties of Brown's
multistep multiderivative methods . . . 25--38
H. Potempa Modifizierte Restgliedabschätzungen für
Quadraturformeln. (German) [Modified
estimates for quadrature errors] . . . . 39--50
J. N. Lyness and
P. Keast On $p$-generator fully symmetric
quadrature rules . . . . . . . . . . . . 51--63
Reinhard Menzel and
Hubert Schwetlick Zur Lösung parameterabhängiger
nichtlinearer Gleichungen mit singulären
Jacobi-Matrizen. (German) [On solving
nonlinear equations depending on a real
parameter in case of singular Jacobians] 65--79
Frank Natterer Numerical inversion of the Radon
transform . . . . . . . . . . . . . . . 81--91
Tassilo Küpper Einschließungsaussagen bei
Differentialoperatoren zweiter Ordnung
durch punktweise Ungleichungen. (German)
[Range-domain implications for second
order differential operators using
pointwise inequalities] . . . . . . . . 93--101
C. Johnson and
B. Mercier Some equilibrium finite element methods
for two-dimensional elasticity problems 103--116
Hermann Brunner Discretization of Volterra integral
equations of the first kind. II . . . . 117--136
Wilhelm Forst Zur Interpolation und Integration
differenzierbarer periodischer
Funktionaleng. (German) [On
interpolation and integration of
differentiable periodic functions] . . . 137--147
Rüdiger Brombeer Über optimale Quadraturformeln mit freien
Knoten zu Hilberträumen periodischer
Funktionen. (German) [On optimal
quadrature formulae with free nodes for
Hilbert-spaces of periodic functions] 149--164
Werner Sautter Fehleranalyse für die Gauß-Elimination zur
Berechnung der Lösung minimaler Länge.
(German) [Error Analysis of Gauss
Elimination for the Best Least Squares
Problem] . . . . . . . . . . . . . . . . 165--184
Kristian Witsch Numerische Quadratur bei
Projektionsverfahren. (German)
[Numerical quadrature in projection
methods] . . . . . . . . . . . . . . . . 185--206
R. Wolf Asymptotische Entwicklungen für
Eigenwerte und Eigenvektoren bei der
Approximation parameternichtlinearer
Eigenwertaufgaben. (German) [Asymptotic
expansions for eigenvalues and
eigenvectors in the approximation of
eigenvalue problems depending
nonlinearly on a parameter] . . . . . . 207--226
Paul Sablonni\`ere Bases de type Schauder de $C[0,1]$ et
formules de quadrature associ\`ees.
(French) [Bases of Schauder type in
$C[0,1]$ and associated quadrature
formulas] . . . . . . . . . . . . . . . 227--240
E. B. Saff and
R. S. Varga On the zeros and poles of Padé
approximants to $e^z$. III . . . . . . . 241--266
M. van Veldhuizen Higher order methods for a singularly
perturbed problem . . . . . . . . . . . 267--279
Jack Graves and
P. M. Prenter Numerical iterative filters applied to
first kind Fredholm integral equations 281--299
H. Wo\'zniakowski Round-off error analysis of iterations
for large linear systems . . . . . . . . 301--314
C. Zenger and
H. Gietl Improved difference schemes for the
Dirichlet problem of Poisson's equation
in the neighbourhood of corners . . . . 315--332
Kristian Witsch Projektive Newton-Verfahren bei
elliptischen Randwertaufgaben. (German)
[Projective Newton methods for elliptic
boundary value problems] . . . . . . . . 333--347
Helmut Braß Monotonie bei den Quadratureverfahren
von Gauß und Newton--Cotes. (German)
[Monotony in the quadrature rules of
Gauss and Newton--Cotes] . . . . . . . . 349--354
I. J. Good and
T. N. Tideman Integration over a simplex, truncated
cubes, and Eulerian numbers . . . . . . 355--367
E. Gekeler A-priori error estimates of Galerkin
backward differentiation methods in
time-inhomogeneous parabolic problems 369--383
J. R. Cash High order methods for the numerical
integration of ordinary differential
equations . . . . . . . . . . . . . . . 385--409
G. J. Cooper and
F. C. P. Whitworth Liapunov functions and error bounds for
approximate solutions of ordinary
differential equations . . . . . . . . . 411--414
Ian H. Sloan and
W. E. Smith Product-integration with the
Clenshaw--Curtis and related
points-convergence properties . . . . . 415--428
Andrew Majda and
Stanley Osher A systematic approach for correcting
nonlinear instabilities --- the
Lax--Wendroff scheme for scalar
conservation laws . . . . . . . . . . . 429--452
Rudolf Wegmann Ein Iterationsverfahren zur konformen
Abbildung. (German) [An iterative method
in conformal mapping] . . . . . . . . . 453--466
Franco Brezzi and
William W. Hager and
P.-A. Raviart Error estimates for the finite element
solution of variational inequalities.
II. Mixed methods . . . . . . . . . . . 1--16
David Belogus and
Nadav Liron DCR2: an improved algorithm for
$\ell_{\infty}$ rational approximation
on intervals . . . . . . . . . . . . . . 17--29
James R. Bunch and
Christopher P. Nielsen and
Danny C. Sorensen Rank One Modification of the Symmetric
Eigenproblem . . . . . . . . . . . . . . 31--48
Randolph E. Bank Efficient algorithms for solving tensor
product finite element equations . . . . 49--61
Gerard R. Richter Superconvergence of piecewise polynomial
Galerkin approximations, for Fredholm
integral equations of the second kind 63--70
I. C. Simpson Numerical integration over a
semi-infinite interval, using the
lognormal distribution . . . . . . . . . 71--76
Reinhart Schultz Ein Abstiegsverfahren für
Approximationsaufgaben in normierten
Räumen. (German) [A descent method for
approximation problems in normed spaces] 77--95
G. Mühlbach The general Neville--Aitken-algorithm
and some applications . . . . . . . . . 97--110
James R. Bunch and
Christopher P. Nielsen Updating the Singular Value
Decomposition . . . . . . . . . . . . . 111--129
Reinhold Mannshardt One-step methods of any order for
ordinary differential equations with
discontinuous right-hand sides . . . . . 131--152
M. A. Wolfe Extended iterative methods for the
solution of operator equations . . . . . 153--174
Zahari Zlatev Stability properties of variable
stepsize variable formula methods . . . 175--182
Thomas A. Manteuffel Adaptive procedure for estimating
parameters for the nonsymmetric
Tchebychev iteration . . . . . . . . . . 183--208
Kristian Witsch Projektive Newton-Verfahren und
Anwendungen auf nichtlineare
Randwertaufgaben. (German) [Projective
Newton methods and applications to
nonlinear boundary value problems] . . . 209--230
E. K. Blum and
P. B. Geltner Numerical solution of
eigentuple-eigenvector problems in
Hilbert spaces by a gradient method . . 231--246
E. K. Blum and
A. R. Curtis A convergent gradient method for matrix
eigenvector-eigentuple problems . . . . 247--263
M. Neumann and
R. J. Plemmons Convergent Nonnegative Matrices and
Iterative Methods for Consistent Linear
Systems . . . . . . . . . . . . . . . . 265--279
Hans Joachim Schmid On cubature formulae with a minimal
number of knots . . . . . . . . . . . . 281--297
M. Davies and
B. Dawson An automatic search procedure for
finding real zeros . . . . . . . . . . . 299--312
Jochen W. Schmidt Einschließung inverser Elemente durch
Fixpunktverfahren. (German) [Enclosing
of inverse elements by fixed-points
methods] . . . . . . . . . . . . . . . . 313--320
Jochen Werner Über die globale Konvergenz von
Variable-Metrik-Verfahren mit
nicht-exakter Schrittweitenbestimmung.
(German) [On the global convergence of
variable metric algorithms without exact
line searches] . . . . . . . . . . . . . 321--334
Robert Beauwens Factorization iterative methods,
${M}$-operators and ${H}$-operators . . 335--357
P. Rentrop A Taylor series method for the numerical
solution of two-point boundary value
problems . . . . . . . . . . . . . . . . 359--375
Peter Craven and
Grace Wahba Smoothing noisy data with spline
functions. Estimating the correct degree
of smoothing by the method of
generalized cross-validation . . . . . . 377--403
A. S. L. Shieh Fast Poisson solvers on general
two-dimensional regions for the
Dirichlet problem . . . . . . . . . . . 405--429
K. Schittkowski and
J. Stoer A Factorization Method for the Solution
of Constrained Linear Least Squares
Problems Allowing Subsequent Data
Changes . . . . . . . . . . . . . . . . 431--463
Syvert P. Nòrsett and
Arne Wolfbrandt Order conditions for Rosenbrock type
methods . . . . . . . . . . . . . . . . 1--15
Helmut Weber Numerische Behandlung von
Verzweigungsproblemen bei gewöhnlichen
Differentialgleichungen. (German)
[Numerical treatment of bifurcation
problems for ordinary differential
equations] . . . . . . . . . . . . . . . 17--29
E. Wagenführer and
H. Lang Berechnung des charakteristischen
Exponenten der endlichen Hillschen
Differentialgleichung durch numerische
Integration. (German) [On calculating
the characteristic exponent of the
finite Hill differential equation by
numerical integration] . . . . . . . . . 31--50
Rüdiger Seydel Numerical computation of branch points
in ordinary differential equations . . . 51--68
Kurt Georg On the convergence of an inverse
iteration method for nonlinear elliptic
eigenvalue problems . . . . . . . . . . 69--74
Michel Crouzeix Sur la ${B}$-stabilité des méthodes de
Runge--Kutta. (French) [On the
${B}$-stability of Runge--Kutta Methods] 75--82
Wolfgang Hackbusch On the fast solutions of nonlinear
elliptic equations . . . . . . . . . . . 83--95
Hermann Schomberg Monotonically convergent iterative
methods for nonlinear systems of
equations . . . . . . . . . . . . . . . 97--104
V. Conrad and
Y. Wallach Alternating methods for sets of linear
equations . . . . . . . . . . . . . . . 105--108
Baker Kearfott An efficient degree-computation method
for a generalized method of bisection 109--127
Glenn R. Luecke A numerical procedure for computing the
Moore--Penrose inverse . . . . . . . . . 129--137
Alastair Spence Error bounds and estimates for
eigenvalues of integral equations. II 139--146
H. N. Mülthei Splineapproximationen von beliebigem
Defekt zur numerischen Lösung gewöhnlicher
Differentialgleichungen. I. (German)
[Spline approximations of arbitrary
defect for the numerical solution of
ordinary differential equations. I] . . 147--157
P. Van der Cruyssen A reformulation of Olver's algorithm for
the numerical solution of second-order
linear difference equations . . . . . . 159--166
Rolf Jeltsch ${A}_{0}$-stability and stiff stability
of Brown's multistep multiderivative
methods . . . . . . . . . . . . . . . . 167--181
P. Midy and
Y. Yakovlev An extrapolation method for the
quadrature of functions with
singularities in the vicinity of the
interval of integration . . . . . . . . 183--196
Alexander Voigt The method of lines for nonlinear
parabolic differential equations with
mixed derivatives . . . . . . . . . . . 197--207
S. Kesavan La méthode de Kikuchi appliquée aux
équations de von Kármán. (French)
[Kikuchi's Method Applied to von Kármán's
Equations] . . . . . . . . . . . . . . . 209--232
Françoise Chatelin Sur les bornes d'erreur a posteriori
pour les éléments propres d'opérateurs
linéaires. (French) [On the a posteriori
error bounds for the proper elements of
linear operators] . . . . . . . . . . . 233--246
D. Apprato and
R. Arcangéli and
J. L. Gout Sur les éléments finis rationnels de
Wachspress. (French) [On the finite
rational elements of Wachspress] . . . . 247--270
M. Razzaghi A computational solution for a matrix
Riccati differential equation . . . . . 271--279
Eugen Schäfer Fehlerabschätzungen für Eigenwertnäherungen
nach der Ersatzkernmethode bei
Integralgleichungen. (German) [Error
estimates for eigenvalues of integral
equations computed by approximate kernel
methods] . . . . . . . . . . . . . . . . 281--290
M. E. A. El Tom On best cubature formulas and spline
interpolation . . . . . . . . . . . . . 291--306
Zdzis\law Jackiewicz Convergence of multistep methods for
Volterra functional differential
equations . . . . . . . . . . . . . . . 307--332
Wilhelm Werner Über ein Verfahren der Ordnung
$1+\sqrt{2}$ zur Nullstellenbestimmung.
(German) [On a method of order
$1+\sqrt{2}$ for determining zeros] . . 333--342
Heinrich N. Mülthei Splineapproximationen von beliebigem
Defekt zur numerischen Lösung gewöhnlicher
Differentialgleichungen. II. (German)
[Spline approximations of arbitrary
defect for the numerical solution of
ordinary differential equations] . . . . 343--358
Soon Park Chung An algorithm for the zeros of
transcendental functions . . . . . . . . 359--371
E. Hairer Unconditionally stable methods for
second order differential equations . . 373--379
Jürgen Sprekels and
Heinrich Voss Pointwise inclusions of fixed points by
finite-dimensional iteration schemes . . 381--392
G. Mühlbach The general recurrence relation for
divided differences and the general
Newton-interpolation-algorithm with
applications to trigonometric
interpolation . . . . . . . . . . . . . 393--408
Nai-Kuan Tsao Error analysis of splitting algorithms
for polynomials . . . . . . . . . . . . 409--421
Gerhard Opfer New extremal properties for constructing
conformal mappings . . . . . . . . . . . 423--429
Frank Natterer On the inversion of the attenuated Radon
transform . . . . . . . . . . . . . . . 431--438
Jerry M. Wolfe On the convergence of an algorithm for
discrete $L_p$ approximation . . . . . . 439--459
Patrick Chenin Une représentation intégrale de l'erreur
d'interpolation. (French) [An integral
representation of interpolation error] 461--479
F. L. Bauer and
G. H. Golub and
A. S. Householder and
K. Samelson Eduard L. Stiefel: 4/21/1909--11/27/1978 480--481
B. C. Carlson Computing elliptic integrals by
duplication . . . . . . . . . . . . . . 1--16
Günther Hämmerlin and
Larry L. Schumaker Error bounds for the approximation of
Green's kernels by splines . . . . . . . 17--22
Rolf Rannacher Nonconforming finite element methods for
eigenvalue problems in linear plate
theory . . . . . . . . . . . . . . . . . 23--42
Alfred Louis Acceleration of convergence for finite
element solutions of the Poisson
equation . . . . . . . . . . . . . . . . 43--53
Peter Kaps and
Peter Rentrop Generalized Runge--Kutta methods of
order four with stepsize control for
stiff ordinary differential equations 55--68
Pavel Chocholaty and
L'udomír \vSlahor A numerical method to boundary value
problems for second order delay
differential equations . . . . . . . . . 69--75
Wilhelm Hock Asymptotic expansions for multistep
methods applied to nonlinear Volterra
integral equations of the second kind 77--100
D. L. Barrow and
P. W. Smith Efficient $L_2$ approximation by splines 101--114
P. Deuflhard A stepsize control for continuation
methods and its special application to
multiple shooting techniques . . . . . . 115--146
Martin Stynes A simplification of Stenger's
topological degree formula . . . . . . . 147--155
K. Veseli\'c On a class of Jacobi-like procedures for
diagonalizing arbitrary real matrices 157--172
K. Veseli\'c On a new class of elementary matrices 173--180
A. Greenbaum Comparison of splittings used with the
conjugate gradient algorithm . . . . . . 181--193
Kazuo Ishihara On the mixed finite element
approximation for the buckling of plates 195--210
M. Bercovier and
O. Pironneau Error estimates for finite element
method solution of the Stokes problem in
the primitive variables . . . . . . . . 211--224
Peter Henrici Barycentric formulas for interpolating
trigonometric polynomials and their
conjugates . . . . . . . . . . . . . . . 225--234
V. Girault and
P. A. Raviart An analysis of a mixed finite element
method for the Navier--Stokes equations 235--271
Juhani Pitkäranta Boundary subspaces for the finite
element method with Lagrange multipliers 273--289
J. W. Mooney and
H. Voss and
B. Werner The dependence of critical parameter
bounds on the monotonicity of a Newton
sequence . . . . . . . . . . . . . . . . 291--301
Rita Meyer-Spasche A note on the approximation of mildly
nonlinear Dirichlet problems by finite
differences . . . . . . . . . . . . . . 303--313
David Carlson and
Biswa Nath Datta On the effective computation of the
inertia of a non-Hermitian matrix . . . 315--322
Herbert Arndt Lösung von gewöhnlichen
Differentialgleichungen mit
nichtlinearen Splines. (German)
[Solution of ordinary differential
equations with nonlinear splines] . . . 323--338
Rüdiger Seydel Numerical computation of branch points
in nonlinear equations . . . . . . . . . 339--352
T. R. Hopkins and
D. E. Roberts Kufarev's method for determining the
Schwarz--Christoffel parameters . . . . 353--365
M. Amara and
J. M. Thomas Equilibrium finite elements for the
linear elastic problem . . . . . . . . . 367--383
John B. Kioustelidis A derivative-free transformation
preserving the order of convergence of
iteration methods in case of multiple
zeros . . . . . . . . . . . . . . . . . 385--389
George J. Miel Unified error analysis for Newton-type
methods . . . . . . . . . . . . . . . . 391--396
R. Glowinski and
O. Pironneau On a mixed finite element approximation
of the Stokes problem. I. Convergence of
the approximate solutions . . . . . . . 397--424
K. Veseli\'c and
H. J. Wenzel A quadratically convergent Jacobi-like
method for real matrices with complex
eigenvalues . . . . . . . . . . . . . . 425--435
S. W. Ellacott On the approximate conformal mapping of
multiply connected domains . . . . . . . 437--446
I. Babu\vska and
R. B. Kellogg and
J. Pitkäranta Direct and inverse error estimates for
finite elements with mesh refinements 447--471
D. M. Greig and
M. A. Abd-el-Naby Iterative solutions of nonlinear initial
value differential equations in
Chebyshev series using Lie series . . . 1--13
F. Utreras Diaz Sur le choix du param\`etre d'ajustement
dans le lissage par fonctions spline.
(French) [On the choice of the
adjustment parameter in smoothing by
spline functions] . . . . . . . . . . . 15--28
Jürgen Sprekels Exact bounds for the solution branches
of nonlinear eigenvalue problems . . . . 29--40
I. Babu\vska and
J. Osborn Analysis of finite element methods for
second order boundary value problems
using mesh dependent norms . . . . . . . 41--62
Florian-A. Potra and
Vlastimil Pták Sharp error bounds for Newton's process 63--72
H. Mokhtar-Kharroubi Sur la convergence théorique de la méthode
du gradient réduit généralisé. (French) [On
the theoretical convergence of the
reduced generalized gradient method] . . 73--85
D. M. Greig and
M. A. Abd-el-Naby A series method for solving nonlinear
two-point boundary value problems . . . 87--98
F. Locher Dividierte Differenzen und Monotonie von
Quadraturformeln. (German) [Divided
differences and monotony of quadrature
formulas] . . . . . . . . . . . . . . . 99--109
Erich Bohl Chord techniques and Newton's method for
discrete bifurcation problems . . . . . 111--124
Günther Hämmerlin and
Larry L. Schumaker Procedures for kernel approximation and
solution of Fredholm integral equations
of the second kind . . . . . . . . . . . 125--141
Heinrich N. Mülthei Splineapproximationen von beliebigem
Defekt zur numerischen Lösung gewöhnlicher
Differentialgleichungen. III. (German)
[Spline approximations of arbitrary
defect for the numerical solution of
ordinary differential equations. III] 143--154
W. J. Thron and
H. Waadeland Accelerating convergence of limit
periodic continued fractions
${K}(a_{n}/1)$ . . . . . . . . . . . . . 155--170
Harry Yserentant Die Mehrstellenformeln für den
Laplaceoperator. (German) [The Hermitian
formulas for Laplace's operator] . . . . 171--187
Tetsuro Yamamoto Error bounds for computed eigenvalues
and eigenvectors . . . . . . . . . . . . 189--199
Bernd Schulzendorff Reguläre Zerlegungen und Berechnung des
Spektralradius nichtnegativer Matrizen.
(German) [Regular splittings and
computation of the spectral radius of
nonnegative matrices] . . . . . . . . . 201--216
Susanne Dittrich and
Wolfgang Hackbusch A method of characteristics solving the
initial-boundary value problem of a
hyperbolic differential equation of
second order . . . . . . . . . . . . . . 217--234
J. R. Cash On the integration of stiff systems of
O.D.E.s using extended backward
differentiation formulae . . . . . . . . 235--246
Eldon Hansen Global optimization using interval
analysis --- the multi-dimensional case 247--270
Wilhelm Niethammer Numerical application of Euler's series
transformation and its generalizations 271--283
Michael Crandall and
Andrew Majda The method of fractional steps for
conservation laws . . . . . . . . . . . 285--314
Luis Contesse B. Une caractérisation compl\`ete des minima
locaux en programmation quadratique.
(French) [A complete characterization of
local minima in quadratic programming] 315--332
Jean-Paul Delahaye Algorithmes pour suites non
convergentes. (French) [Algorithms for
nonconvergent sequences] . . . . . . . . 333--347
Harold Greenberg An algorithm for a linear Diophantine
equation and a problem of Frobenius . . 349--352
P. Nelson, Jr. and
H. D. Victory, Jr. Convergence of two-dimensional Nyström
discrete-ordinates in solving the linear
transport equation . . . . . . . . . . . 353--370
J. R. Cash A note on the numerical solution of
linear recurrence relations . . . . . . 371--386
Ian H. Sloan and
William E. Smith Product integration with the
Clenshaw--Curtis points: implementation
and error estimates . . . . . . . . . . 387--401
J. P. Milaszewicz A generalization of the Stein--Rosenberg
theorem to Banach spaces . . . . . . . . 403--409
Peter Jochum The numerical solution of the inverse
Stefan problem . . . . . . . . . . . . . 411--429
D. Meyer and
K. Veseli\'c On some new inclusion theorems for the
eigenvalues of partitioned matrices . . 431--437
Krisorn Jittorntrum and
M. R. Osborne Strong uniqueness and second-order
convergence in nonlinear discrete
approximation . . . . . . . . . . . . . 439--455
K. P. Hadeler Effective computation of periodic orbits
and bifurcation diagrams in delay
equations . . . . . . . . . . . . . . . 457--467
Tommy Elfving Block-iterative methods for consistent
and inconsistent linear equations . . . 1--12
A. K. Aziz and
M. Schneider and
A. Werschulz A finite element method for the Tricomi
problem . . . . . . . . . . . . . . . . 13--20
J. Christiansen and
R. D. Russell Deferred corrections using uncentered
end formulas . . . . . . . . . . . . . . 21--33
Claus Schneider Produktintegration mit
nicht-äquidistanten Stützstellen. (German)
[Product integration with
non-equidistant knots] . . . . . . . . . 35--43
Manfred von Golitschek An algorithm for scaling matrices and
computing the minimum cycle mean in a
digraph . . . . . . . . . . . . . . . . 45--55
E. Hairer Unconditionally stable explicit methods
for parabolic equations . . . . . . . . 57--68
Michael Neumann and
Richard S. Varga On the sharpness of some upper bounds
for the spectral radii of S.O.R.
iteration matrices . . . . . . . . . . . 69--79
P. Rentrop An algorithm for the computation of the
exponential spline . . . . . . . . . . . 81--93
A. O. Griewank Starlike domains of convergence for
Newton's method at singularities . . . . 95--111
H. J. Symm and
J. H. Wilkinson Realistic error bounds for a simple
eigenvalue and its associated
eigenvector . . . . . . . . . . . . . . 113--126
Garth A. Baker and
Vassilios A. Dougalis and
Steven M. Serbin An approximation theorem for
second-order evolution equations . . . . 127--142
Marie-Noëlle Le Roux Méthodes multipas pour des équations
paraboliques non linéaires. (French)
[Multipass methods for nonlinear
parabolic equations] . . . . . . . . . . 143--162
Masatake Mori Analytic representations suitable for
numerical computation of some special
functions . . . . . . . . . . . . . . . 163--174
C. Brezinski A general extrapolation algorithm . . . 175--187
Gerhard Opfer Conformal mappings onto prescribed
regions via optimization techniques . . 189--200
Jutta Weisel Numerische Ermittlung quasikonformer
Abbildungen mit finiten Elementen.
(German) [Numerical determination of
quasiconformal mappings by finite
elements] . . . . . . . . . . . . . . . 201--222
Fridrich Sloboda A generalized conjugate gradient
algorithm for minimization . . . . . . . 223--230
Peter Lory Enlarging the domain of convergence for
multiple shooting by the homotopy method 231--240
Göran Starius On composite mesh difference methods for
hyperbolic differential equations . . . 241--255
Michel Crouzeix Une méthode multipas implicite-explicite
pour l'approximation des équations
d'évolution paraboliques. (French) [A
multipass explicit-implicit method for
the approximation of parabolic
evolutionary equations] . . . . . . . . 257--276
Hans-Detlef D. Mittelmann On the efficient solution of nonlinear
finite element equations. I . . . . . . 277--291
Klaus Ritter On the rate of superlinear convergence
of a class of variable metric methods 293--313
J.-C. Nédélec Mixed finite elements in ${\bf R}^{3}$ 315--341
K. Glashoff and
H. Kreth Vorzeichenstabile Differenzenverfahren
für parabolische Anfangsrandwertaufgaben.
(German) [Sign-stability in difference
schemes for parabolic initial-boundary
value problems] . . . . . . . . . . . . 343--354
D. J. Hartfiel Concerning the Solution Set of $Ax = b$
where $P \le A \le Q$ and $p \le b \le
q$ . . . . . . . . . . . . . . . . . . . 355--359
Joseph M. Lambert An alternative computational method for
the approximation of random functions 361--368
I. Deák Three digit accurate multiple normal
probabilities . . . . . . . . . . . . . 369--380
P. Le Tallec A mixed finite element approximation of
the Navier--Stokes equations . . . . . . 381--404
E. Wagenführer Die Determinantenmethode zur Berechnung
des charakteristischen Exponenten der
endlichen Hillschen
Differentialgleichung. (German) [On the
determinantal method for calculating the
characteristic exponent of the finite
Hill differential equation] . . . . . . 405--420
R. M. M. Mattheij Characterizations of dominant and
dominated solutions of linear recursions 421--442
J. P. Delahaye and
B. Germain-Bonne Résultats négatifs en accélération de la
convergence. (French) [Negative results
in convergence acceleration] . . . . . . 443--457
Qun Lin and
Jia Quan Liu Extrapolation method for Fredholm
integral equations with non-smooth
kernels . . . . . . . . . . . . . . . . 459--464
Henning Esser and
Klaus Niederdrenk Nichtäquidistante Diskretisierungen von
Randwertaufgaben. (German) [Nonuniform
discretizations of boundary value
problems in ODE] . . . . . . . . . . . . 465--478
F. Brezzi and
J. Rappaz and
P. A. Raviart Finite-dimensional approximation of
nonlinear problems. I. Branches of
nonsingular solutions . . . . . . . . . 1--25
F. Aleixo Oliveira Collocation and residual correction . . 27--31
P. Lesaint and
M. Zlámal Convergence of the nonconforming Wilson
element for arbitrary quadrilateral
meshes . . . . . . . . . . . . . . . . . 33--52
Alkiviadis G. Akritas An implementation of Vincent's theorem 53--62
Dario Bini and
Grazia Lotti Stability of Fast Algorithms for Matrix
Multiplication . . . . . . . . . . . . . 63--72
Hans Wilhelm Alt Numerical solution of steady-state
porous flow free boundary problems . . . 73--98
Herbert Arndt Ein verallgemeinerter
Kettenbruch-Algorithmus zur rationalen
Hermite-Interpolation. (German) [A
generalized continued fraction algorithm
for rational Hermite interpolation] . . 99--107
H. Götze and
F. L. Bauer Klaus Samelson: geb. 21.12.1918, gest.
25.5.1980 (German) [Klaus Samelson: born
21.12.1981, died 25.5.1980] . . . . . . 109--109
P. R. Graves-Morris and
T. R. Hopkins Reliable rational interpolation . . . . 111--128
Jean Duchon and
Raoul Robert and
Patrick Witomski Probl\`eme de Dirichlet dans l'image
bilipschitzienne d'un demi-espace.
(French) [The Dirichlet Problem in the
bi-Lipschitz image of a Half-Space] . . 129--149
Karl Scherer On optimal global error bounds obtained
by scaled local error estimates . . . . 151--176
J. J. M. Cuppen A Divide and Conquer Method for the
Symmetric Tridiagonal Eigenproblem . . . 177--195
H. Weber Numerical computation of the Fourier
transform using Laguerre functions and
the fast Fourier transform . . . . . . . 197--209
Hermann König and
Diethard Pallaschke On Khachian's algorithm and minimal
ellipsoids . . . . . . . . . . . . . . . 211--223
Manfred Dobrowolski A mixed finite element method for
solving the nonstationary Stokes
equation . . . . . . . . . . . . . . . . 225--236
Elias A. Lipitakis and
David J. Evans The rate of convergence of an
approximate matrix factorization
semi-direct method . . . . . . . . . . . 237--251
J. R. Cash On the design of high order
exponentially fitted formulae for the
numerical integration of stiff systems 253--266
Kazuo Ishihara A finite element lumped mass scheme for
solving eigenvalue problems of circular
arches . . . . . . . . . . . . . . . . . 267--290
Walter Gander Least squares with a quadratic
constraint . . . . . . . . . . . . . . . 291--307
Jaroslav Kautský Matrices related to interpolatory
quadratures . . . . . . . . . . . . . . 309--318
W. H. Hundsdorfer and
M. N. Spijker A note on $B$-stability of Runge--Kutta
methods . . . . . . . . . . . . . . . . 319--331
Florian A. Potra and
Vlastimil Pták A generalization of regula falsi . . . . 333--346
Hermann Brunner and
Syvert P. Nòrsett Superconvergence of collocation methods
for Volterra and Abel integral equations
of the second kind . . . . . . . . . . . 347--358
J. Bräuninger A variable metric algorithm for
unconstrained minimization without
evaluation of derivatives . . . . . . . 359--373
Hans Detlef Mittelmann On the efficient solution of nonlinear
finite element equations. II.
Bound-constrained problems . . . . . . . 375--387
Ronald H. W. Hoppe A penalty method for the approximate
solution of stationary Maxwell equations 389--403
Martin H. Gutknecht Solving Theodorsen's integral equation
for conformal maps with the fast Fourier
transform and various nonlinear
iterative methods . . . . . . . . . . . 405--429
E. Hairer Order conditions for numerical methods
for partitioned ordinary differential
equations . . . . . . . . . . . . . . . 431--445
D. F. Paget The numerical evaluation of Hadamard
finite-part integrals . . . . . . . . . 447--453
H. Evéquoz and
Y. Jaccard A nonconforming finite element method to
compute the spectrum of an operator
relative to the stability of a plasma in
toroidal geometry . . . . . . . . . . . 455--465
F. Brezzi and
J. Rappaz and
P. A. Raviart Finite-dimensional approximation of
nonlinear problems. II. Limit points . . 1--28
G. J. Fix and
M. D. Gunzburger and
R. A. Nicolaides On mixed finite element methods for
first-order elliptic systems . . . . . . 29--48
Katrina Bogues and
Corbett R. Morrow and
Thomas N. L. Patterson An implementation of the method of
Ermakov and Zolotukhin for
multidimensional integration and
interpolation . . . . . . . . . . . . . 49--60
Rolf Jeltsch and
Olavi Nevanlinna Stability of explicit time
discretizations for solving initial
value problems . . . . . . . . . . . . . 61--91
F. M. Larkin Root finding by divided differences . . 93--104
Noboru Kikuchi Convergence of a penalty-finite element
approximation for an obstacle problem 105--120
Lois Mansfield Finite element methods for nonlinear
shell analysis . . . . . . . . . . . . . 121--131
D. M. Hough and
N. Papamichael The use of splines and singular
functions in an integral equation method
for conformal mapping . . . . . . . . . 133--147
P. Van der Cruyssen A continued fraction algorithm . . . . . 149--156
Zahari Zlatev Zero-stability properties of the
three-ordinate variable stepsize
variable formula methods . . . . . . . . 157--166
Klaus Böhmer Discrete Newton methods and iterated
defect corrections . . . . . . . . . . . 167--192
M. Bozzini and
L. Lenarduzzi Approximation of multivariable functions
with respect to random points less than
$2^{k}$, $k$ dimension of space . . . . 193--203
P. J. van der Houwen and
H. J. J. te Riele Backward differentiation type formulas
for Volterra integral equations of the
second kind . . . . . . . . . . . . . . 205--217
H. Koßmann Differenzenverfahren zur Berechnung
periodischer Lösungen von hyperbolischen
Differentialgleichungen. (German)
[Finite difference methods for the
computation of periodic solutions of
hyperbolic differential equations] . . . 219--233
H. J. Oberle and
H. J. Pesch Numerical treatment of delay
differential equations by Hermite
interpolation . . . . . . . . . . . . . 235--255
Ivo Babu\vska and
Milo R. Dorr Error estimates for the combined $h$ and
$p$ versions of the finite element
method . . . . . . . . . . . . . . . . . 257--277
R. E. Bank and
D. J. Rose Global approximate Newton methods . . . 279--295
Lloyd N. Trefethen Rational Chebyshev approximation on the
unit disk . . . . . . . . . . . . . . . 297--320
Yvon Maday and
Alfio Quarteroni Legendre and Chebyshev spectral
approximations of Burgers' equation . . 321--332
P. Neittaanmäki and
J. Saranen On finite element approximation of the
gradient for solution of Poisson
equation . . . . . . . . . . . . . . . . 333--337
G. Mühlbach An algorithmic approach to
Hermite--Birkhoff interpolation . . . . 339--347
Friedrich W. Biegler-König A Newton iteration process for inverse
eigenvalue problems . . . . . . . . . . 349--354
J. R. Cash High order $P$-stable formulae for the
numerical integration of periodic
initial value problems . . . . . . . . . 355--370
H. Brass and
G. Schmeisser Error estimates for interpolatory
quadrature formulae . . . . . . . . . . 371--386
Dietrich Braess The contraction number of a multigrid
method for solving the Poisson equation 387--404
Douglas N. Arnold Discretization by finite elements of a
model parameter dependent problem . . . 405--421
Lois Mansfield On the multigrid solution of finite
element equations with isoparametric
elements . . . . . . . . . . . . . . . . 423--432
Jean-Claude Paumier Une méthode numérique pour le calcul des
points de retournement. Application \`a
un probl\`eme aux limites non-linéaire.
I. Étude théorique et expérimentation de la
méthode. (French) [A numerical method for
the calculation of turning points.
Application to a problem at nonlinear
limits. I. Theoretical and experimental
study of the method] . . . . . . . . . . 433--444
Jean-Claude Paumier Une méthode numérique pour le calcul des
points de retournement. Application \`a
un probl\`eme aux limites non-linéaire.
II. Analyse numérique d'un probl\`eme aux
limites non-linéaire. (French) [A
numerical method for the calculation of
turning points. Application to a problem
at non-linear limits. II. Numerical
analysis of a problem at nonlinear
limits.] . . . . . . . . . . . . . . . . 445--452
Martin Stynes On the construction of sufficient
refinements for computation of
topological degree . . . . . . . . . . . 453--462
F. Brezzi and
J. Rappaz and
P. A. Raviart Finite dimensional approximation of
nonlinear problems. III. Simple
bifurcation points . . . . . . . . . . . 1--30
S. Pissanetzky and
F. G. Basombrío On the numerical errors in one-step
algorithms for time dependent problems 31--37
Dimitri M. Fagé The indicatrix method in free boundary
problems . . . . . . . . . . . . . . . . 39--52
J. P. Milaszewicz On fixed point linear equations . . . . 53--59
C. I. Goldstein The finite element method with
nonuniform mesh sizes applied to the
exterior Helmholtz problem . . . . . . . 61--82
Klaus Schittkowski The nonlinear programming method of
Wilson, Han, and Powell with an
augmented Lagrangian type line search
function. I. Convergence analysis . . . 83--114
Klaus Schittkowski The nonlinear programming method of
Wilson, Han, and Powell with an
augmented Lagrangian type line search
function. II. An efficient
implementation with linear least squares
subproblems . . . . . . . . . . . . . . 115--127
Jürgen Fischer An algorithm for discrete linear $L_p$
approximation . . . . . . . . . . . . . 129--139
R. Reemtsen and
C. J. Lozano An approximation technique for the
numerical solution of a Stefan problem 141--154
Wilhelm Hock An extrapolation method with step size
control for nonlinear Volterra integral
equations . . . . . . . . . . . . . . . 155--178
Richard S. Varga and
Da Yong Cai On the ${LU}$ factorization of
${M}$-matrices . . . . . . . . . . . . . 179--192
S. P. Nòrsett and
G. Wanner Perturbed collocation and Runge--Kutta
methods . . . . . . . . . . . . . . . . 193--208
Andrzej Stachurski Superlinear convergence of symmetric
Huang's class of methods . . . . . . . . 209--218
Helmut Kleinmichel Quasi-Newton-Verfahren vom Rang-Eins-Typ
zur Lösung unrestringierter
Minimierungsprobleme. I. Verfahren und
grundlegende Eigenschaften. (German)
[Quasi-Newton methods of rank-one type
for the solution of unconstrained
minimization problems. I. Methods and
general properties] . . . . . . . . . . 219--228
Helmut Kleinmichel Quasi-Newton-Verfahren vom Rang-Eins-Typ
zur Lösung unrestringierter
Minimierungsprobleme. II.
$n$-Schritt-quadratische Konvergenz für
Restart-Varianten. (German)
[Quasi-Newton methods of rank-one-type
for the solution of unconstrained
minimization problems. II. $n$-step
quadratic convergence for restart
variants] . . . . . . . . . . . . . . . 229--244
E. Dollinger Ein linear konvergentes zyklisches
jacobiähnliches Verfahren für beliebige
reelle Matrizen. (German) [A linear
convergent cyclic Jacobi-like method for
arbitrary real matrices] . . . . . . . . 245--253
Dimitri M. Fagé The indicatrix method. II . . . . . . . 255--261
Ian H. Sloan Analysis of general quadrature methods
for integral equations of the second
kind . . . . . . . . . . . . . . . . . . 263--278
P. Kaps and
G. Wanner A study of Rosenbrock-type methods of
high order . . . . . . . . . . . . . . . 279--298
Avram Sidi An algorithm for a special case of a
generalization of the Richardson
extrapolation process . . . . . . . . . 299--307
O. Pironneau On the transport-diffusion algorithm and
its applications to the Navier--Stokes
equations . . . . . . . . . . . . . . . 309--332
Jerry W. Lewis Inversion of Tridiagonal Matrices . . . 333--345
Kazuo Murota and
Masao Iri Parameter tuning and repeated
application of the IMT-type
transformation in numerical quadrature 347--363
P. Le Tallec Existence and approximation results for
nonlinear mixed problems: application to
incompressible finite elasticity . . . . 365--382
Wilhelm Werner Some supplementary results on the
$1+\sqrt{2}$ order method for the
solution of nonlinear equations . . . . 383--392
Viorel Arn\uautu Approximation of optimal distributed
control problems governed by variational
inequalities . . . . . . . . . . . . . . 393--416
D. J. Evans and
J. Shanehchi and
C. C. Rick A modified bisection algorithm for the
determination of the eigenvalues of a
symmetric tridiagonal matrix . . . . . . 417--419
Klaus-Jürgen Förster Bemerkungen zur optimalen
Tschebyscheff-Typ Quadratur. (German)
[Remarks on optimal Chebyshev-type
quadratures] . . . . . . . . . . . . . . 421--425
Florian A. Potra An error analysis for the secant method 427--445
Miente Bakker A note on ${C}^\circ$ Galerkin methods
for two-point boundary problems . . . . 447--453
Gerd Pönisch and
Hubert Schwetlick Ein lokal überlinear konvergentes
Verfahren zur Bestimmung von
Rückkehrpunkten implizit definierter
Raumkurven. (German) [A locally
superlinearly convergent method for
computing turning points of implicitly
defined space curves] . . . . . . . . . 455--465
Eckart Gekeler On the stability of backward
differentiation methods . . . . . . . . 467--471
M. Gasca and
J. I. Maeztu On Lagrange and Hermite interpolation in
${\bf R}^{k}$ . . . . . . . . . . . . . 1--14
C. Bernardi Approximation of Hopf bifurcation . . . 15--37
Houde Han The numerical solutions of interface
problems by infinite element method . . 39--50
Maksymilian Dryja A capacitance matrix method for
Dirichlet problem on polygon region . . 51--64
M. von Golitschek Optimal cycles in double weighted graphs
and approximation of bivariate functions
by univariate ones . . . . . . . . . . . 65--84
A. J. Geurts A Contribution to the Theory of
Condition . . . . . . . . . . . . . . . 85--96
J.-C. Nédélec Éléments finis mixtes incompressibles pour
l'équation de Stokes dans ${\bf R}^{3}$.
(French) [Incompressible mixed finite
elements for the Stokes equation in
${\bf R}^{3}$] . . . . . . . . . . . . . 97--112
G. Alefeld On the convergence of the symmetric SOR
method for matrices with red-black
ordering . . . . . . . . . . . . . . . . 113--117
A. Griewank and
Ph. L. Toint Partitioned variable metric updates for
large structured optimization problems 119--137
H. Van de Vel The Haar condition and multiplicity of
zeros . . . . . . . . . . . . . . . . . 139--153
R. Jeltsch and
O. Nevanlinna Erratum: ``Stability of explicit time
discretizations for solving initial
value problems'' [Numer. Math. \bf 37
(1981), no. 1, 61--91 and MR 82g:65042] 155--155
James E. Shirey Minimization of extended quadratic
functions . . . . . . . . . . . . . . . 157--161
G. Alefeld Zur Konvergenz eines Verfahrens von D.
J. Evans zur iterativen Verbesserung
einer Näherung für die inverse Matrix.
(German) [On the convergence of D. J.
Evans' implicit matrix inversion
process] . . . . . . . . . . . . . . . . 163--173
Hang Chin Lai and
Pou Yah Wu Error bounds of Newton type process on
Banach spaces . . . . . . . . . . . . . 175--193
Otto Hübner Über die Anzahl der Lösungen der diskreten
Theodorsen-Gleichung. (German) [On the
number of solutions of the discrete
Theodorsen equation] . . . . . . . . . . 195--204
C. Canuto and
Y. Maday and
A. Quarteroni Analysis of the combined finite element
and Fourier interpolation . . . . . . . 205--220
Zdzis\law Jackiewicz Adams methods for neutral
functional-differential equations . . . 221--230
G. Greaves An algorithm for the Hausdorff moment
problem . . . . . . . . . . . . . . . . 231--238
Alexander Shapiro Optimally Scaled Matrices, Necessary and
Sufficient Conditions . . . . . . . . . 239--245
E. Hairer Constructive characterization of
${A}$-stable approximations to ${\rm
exp}(z)$ and its connection with
algebraically stable Runge--Kutta
methods . . . . . . . . . . . . . . . . 247--258
J. N. Lyness and
Luigi Gatteschi On quasidegree quadrature rules . . . . 259--267
D. Braess and
E. Zehnder On the numerical treatment of a small
divisor problem . . . . . . . . . . . . 269--292
R. Schaback Fehlerabschätzungen für Koeffizienten von
Exponentialsummen und Polynomen.
(German) [Error estimates for
coefficients of exponential sums and
polynomials] . . . . . . . . . . . . . . 293--307
Moshe Israeli and
Marius Ungarish Improvement of numerical solution of
boundary layer problems by incorporation
of asymptotic approximations . . . . . . 309--324
Mouhamed Nabih El Tarazi Some convergence results for
asynchronous algorithms. (French) [Des
résultats de convergence des algorithmes
asynchrones] . . . . . . . . . . . . . . 325--340
M. M. Chawla and
C. P. Katti Finite difference methods and their
convergence for a class of singular
two-point boundary value problems . . . 341--350
R. Wong Quadrature formulas for oscillatory
integral transforms . . . . . . . . . . 351--360
V. Hari On the global convergence of the
Eberlein method for real matrices . . . 361--369
Laure Reinhart On the numerical analysis of the von
Kármán equations: mixed finite element
approximation and continuation
techniques . . . . . . . . . . . . . . . 371--404
K. Sikorski Optimal quadrature algorithms in $ H_p $
spaces . . . . . . . . . . . . . . . . . 405--410
Gerhard Opfer Solving complex approximation problems
by semiinfinite-finite optimization
techniques: a study of convergence . . . 411--420
Martin Kütz Monotony in interpolatory quadratures 421--428
A. Griewank and
Ph. L. Toint Local convergence analysis for
partitioned quasi-Newton updates . . . . 429--448
H. N. Mülthei Maximale Konvergenzordnung bei der
numerischen Lösung von
Anfangswertproblemen mit Splines.
(German) [Maximal order of convergence
in the numerical solution of initial
value problems with splines] . . . . . . 449--463
M. Bernadou and
Y. Ducatel Approximation of general arch problems
by straight beam elements (elasticity) 1--29
Moshe Levin Optimal quadrature formula of Markov's
and Locher's type with weight function 31--37
Annie A. M. Cuyt The $\varepsilon$-algorithm and
multivariate Padé-approximants . . . . . 39--46
Wolfgang Rath Fast Givens Rotations for Orthogonal
Similarity Transformations . . . . . . . 47--56
R. E. Funderlic and
M. Neumann and
R. J. Plemmons $LU$ Decompositions of Generalized
Diagonally Dominant Matrices . . . . . . 57--69
H. P. Dikshit and
P. Powar Discrete cubic spline interpolation . . 71--78
B. Döhler Ein neues Gradientenverfahren zur
simultanen Berechnung der kleinsten oder
größten Eigenwerte des allgemeinen
Eigenwertproblems. (German) [A new
gradient method for the simultaneous
calculation of the smallest or largest
eigenvalues of the general eigenvalue
problem] . . . . . . . . . . . . . . . . 79--91
Wolfgang Seewald Quotienten-Differenzen-Algorithmus:
Beweis der Regeln von Rutishauser.
(German) [Quotient-difference algorithm:
proof of Rutishauser's rule] . . . . . . 93--98
Frank Körner and
Claus Richter Zur effektiven Lösung von booleschen,
quadratischen Optimierungsproblemen.
(German) [On the efficient solution of
Boolean quadratic programming problems] 99--109
K. Sikorski Bisection is optimal . . . . . . . . . . 111--117
Ch. Lubich Runge--Kutta theory for Volterra
integro-differential equations . . . . . 119--135
John D. Dixon Exact solution of linear equations using
$P$-adic expansions . . . . . . . . . . 137--141
Jaroslav Remar and
John C. Bruch, Jr. and
James M. Sloss Axisymmetric free surface seepage . . . 143--168
A. N. Saworin Über die Effektivität einiger
nichtlinearer Verfahren bei der
numerischen Behandlung steifer
Differentialgleichungssysteme. (German)
[On the efficiency of some nonlinear
methods for the numerical solution of
systems of stiff differential equations] 169--177
D. Fagé Approximation of time-dependent free
boundaries . . . . . . . . . . . . . . . 179--199
Tetsuro Yamamoto Error bounds for computed eigenvalues
and eigenvectors. II . . . . . . . . . . 201--206
W. Höhn Finite elements for parabolic equations
backwards in time . . . . . . . . . . . 207--227
Hans Strauß Unicity of best one-sided
$L_1$-approximations . . . . . . . . . . 229--243
Rolf Jeltsch and
Olavi Nevanlinna Stability and accuracy of time
discretizations for initial value
problems . . . . . . . . . . . . . . . . 245--296
G. W. Stewart Computing the $CS$ decomposition of a
partitioned orthonormal matrix . . . . . 297--306
M. Brannigan The strict Chebyshev solution of
overdetermined systems of linear
equations with rank deficient matrix . . 307--318
Rolf E. Müller Discretization of multiparameter
eigenvalue problems . . . . . . . . . . 319--328
J. R. Cash On improving the absolute stability of
local extrapolation . . . . . . . . . . 329--337
M. Bieterman and
I. Babu\vska The finite element method for parabolic
equations. I. A posteriori error
estimation . . . . . . . . . . . . . . . 339--371
M. Bieterman and
I. Babu\vska The finite element method for parabolic
equations. II. A posteriori error
estimation and adaptive approach . . . . 373--406
J. Kautský and
S. Elhay Calculation of the Weights of
Interpolatory Quadratures . . . . . . . 407--422
Abdelaziz Hilali Réductibilité d'un syst\`eme différentiel
linéaire. (French) [Reducibility of a
linear differential system] . . . . . . 1--17
Michael Vogelius A right-inverse for the divergence
operator in spaces of piecewise
polynomials. Application to the
$p$-version of the finite element method 19--37
Michael Vogelius An analysis of the $p$-version of the
finite element method for nearly
incompressible materials. Uniformly
valid, optimal error estimates . . . . . 39--53
Jozef Brilla Error analysis for Laplace
transform---finite element solution of
hyperbolic equations . . . . . . . . . . 55--62
N. M. Temme The numerical computation of the
confluent hypergeometric function
${U}(a,\,b,\,z)$ . . . . . . . . . . . . 63--82
Yair Censor and
Paul P. B. Eggermont and
Dan Gordon Strong underrelaxation in Kaczmarz's
method for inconsistent systems . . . . 83--92
R. Seydel Branch switching in bifurcation problems
for ordinary differential equations . . 93--116
Günther Nürnberger and
Manfred Sommer A Remez type algorithm for spline
functions . . . . . . . . . . . . . . . 117--146
G. H. Golub and
J. Kautský Calculation of Gauss quadratures with
multiple free and fixed knots . . . . . 147--163
Lawrence F. Shampine and
Lorraine S. Baca Smoothing the extrapolated midpoint rule 165--175
W. Niethammer and
R. S. Varga The analysis of $k$-step iterative
methods for linear systems from
summability theory . . . . . . . . . . . 177--206
Günther Nürnberger and
Manfred Sommer Alternation for best spline
approximations . . . . . . . . . . . . . 207--221
Klaus Niederdrenk and
Harry Yserentant Die gleichmäßige Stabilität singulär
gestörter diskreter und kontinuierlicher
Randwertprobleme. (German) [The uniform
stability of singularly perturbed
discrete and continuous boundary value
problems] . . . . . . . . . . . . . . . 223--253
Ekkehard Wagenführer On calculating the eigenvalues of the
finite Hill's differential equation . . 255--279
Annie A. M. Cuyt Accelerating the convergence of a table
with multiple entry . . . . . . . . . . 281--286
D. M. Hough and
N. Papamichael An integral equation method for the
numerical conformal mapping of interior,
exterior and doubly-connected domains 287--307
Abraham Ziv A Stable Method for the Evaluation of a
Polynomial and of a Rational Function of
One Variable . . . . . . . . . . . . . . 309--319
Ji-guang Sun The perturbation bounds for eigenspaces
of a definite matrix-pair . . . . . . . 321--343
Vidar Thomée and
Lars B. Wahlbin Maximum-norm stability and error
estimates in Galerkin methods for
parabolic equations in one space
variable . . . . . . . . . . . . . . . . 345--371
G. Bader and
P. Deuflhard A semi-implicit mid-point rule for stiff
systems of ordinary differential
equations . . . . . . . . . . . . . . . 373--398
P. Deuflhard Order and stepsize control in
extrapolation methods . . . . . . . . . 399--422
Anonymous Author Index: Volumes 1--40 (1959--1982) I--LII
Germund Dahlquist and
Huang Mingyou and
Randall LeVeque On the uniform power-boundedness of a
family of matrices and the applications
to one-leg and linear multistep methods 1--13
A. Bellen Monotone methods for periodic solutions
of second order scalar
functional-differential equations . . . 15--30
R. P. Kulkarni and
B. V. Limaye On the steps of convergence of
approximate eigenvectors in the
Rayleigh--Schrödinger series . . . . . . 31--50
Ludwig Wagatha Approximation of pseudodifferential
operators in absorbing boundary
conditions for hyperbolic equations . . 51--64
W. Hackbusch and
H. D. Mittelmann On multi-grid methods for variational
inequalities . . . . . . . . . . . . . . 65--76
R. Kreß and
W. T. Spassov On the condition number of boundary
integral operators for the exterior
Dirichlet problem for the Helmholtz
equation . . . . . . . . . . . . . . . . 77--95
József Abaffy and
Fridrich Sloboda Imperfect conjugate gradient algorithms
for extended quadratic functions . . . . 97--105
Florencio Utreras Natural spline functions, their
associated eigenvalue problem . . . . . 107--117
Harry Yserentant Die maximale Konsistenzordnung von
Differenzenapproximationen
nichtnegativer Art. (German) [The
maximal consistency order of difference
approximations of nonnegative kind] . . 119--123
Anonymous Announcing an International Conference
on Numerical Analysis on the Occasion of
the 25th Anniversary of the founding of
Numerische Mathematik, March 19--21,
1984 at the Technische Universität Munich 124--124
A. C. Allison and
N. J. Young Numerical algorithms for the
Nevanlinna--Pick problem . . . . . . . . 125--145
D. W. Decker and
C. T. Kelley Sublinear convergence of the chord
method at singular points . . . . . . . 147--154
Lala B. Krishna Some new results on unsymmetric
successive overrelaxation method . . . . 155--160
Klaus-Hermann Meyn Solution of underdetermined nonlinear
equations by stationary iteration
methods . . . . . . . . . . . . . . . . 161--172
Max D. Gunzburger and
Janet S. Peterson On conforming finite element methods for
the inhomogeneous stationary
Navier--Stokes equations . . . . . . . . 173--194
G. Nürnberger and
L. L. Schumaker and
M. Sommer and
H. Strauss Interpolation by generalized splines . . 195--212
Lois Mansfield Analysis of finite element methods for
the nonlinear dynamic analysis of shells 213--235
A. N. Stokes Efficient stable ways to calculate
continued fraction coefficients from
some series . . . . . . . . . . . . . . 237--245
Mu Dingyi Asymptotic behavior of the polynomial
factor in the interpolation error . . . 247--257
Anonymous Announcemen: Alston S. Householder Award
V (1984) . . . . . . . . . . . . . . . . 258--258
Annie A. M. Cuyt The QD-algorithm and multivariate
Padé-approximants . . . . . . . . . . . . 259--269
M. N. Spijker Contractivity in the numerical solution
of initial value problems . . . . . . . 271--290
Heinrich Puschmann and
Joaquín Cortés The Coordinex Problem and its Relation
to the Conjecture of Wilkinson . . . . . 291--297
J. R. Cash Split linear multistep methods for the
numerical integration of stiff
differential systems . . . . . . . . . . 299--310
S. I. Hariharan and
E. Stephan A boundary element method for a
two-dimensional interface problem in
electromagnetics . . . . . . . . . . . . 311--322
M. T. Chu On a numerical treatment for the
curve-tracing of the homotopy method . . 323--329
P. R. Graves-Morris Vector valued rational interpolants. I 331--348
M. van Veldhuizen On $D$-stability and $B$-stability . . . 349--357
Rolf Dieter Grigorieff Stability of multistep-methods on
variable grids . . . . . . . . . . . . . 359--377
Bernhard Schmitt Norm bounds for rational matrix
functions . . . . . . . . . . . . . . . 379--389
D. R. Sweet Fast Toeplitz orthogonalization . . . . 1--21
J. Della Dora and
C. Di Crescenzo Approximants de Padé-Hermite. I. Théorie.
(French) [Padé--Hermite approximants. I.
Theory] . . . . . . . . . . . . . . . . 23--39
J. Della Dora and
C. Di Crescenzo Approximants de Padé--Hermite. II.
Programmation. (French) [Padé--Hermite
approximants. II. Programming] . . . . . 41--57
Alexander Eydeland A method of solving nonlinear
variational problems by nonlinear
transformation of the objective
functional. I . . . . . . . . . . . . . 59--82
J. J. Modi and
M. R. B. Clarke An Alternative Givens Ordering . . . . . 83--90
Peter Wilhelm Meyer Das modifizierte Newton-Verfahren in
verallgemeinerten Banach-Räumen. (German)
[The modified Newton method in
generalized Banach spaces] . . . . . . . 91--104
S. Kesavan A potential method for the biharmonic
equation . . . . . . . . . . . . . . . . 105--119
Marino Zennaro Maximum principles for linear
difference-differential operators in
periodic function spaces . . . . . . . . 121--139
Wing Hung Wong On constrained multivariate splines and
their approximations . . . . . . . . . . 141--152
Herbert J. Bernstein An accelerated bisection method for the
calculation of eigenvalues of a
symmetric tridiagonal matrix . . . . . . 153--160
Giovanni Monegato Convergence of product formulas for the
numerical evaluation of certain
two-dimensional Cauchy principal value
integrals . . . . . . . . . . . . . . . 161--173
Koichi Niijima A uniformly convergent difference scheme
for a semilinear singular perturbation
problem . . . . . . . . . . . . . . . . 175--198
Patrick Le Tallec and
Marina Vidrascu Une méthode numérique pour les probl\`emes
d'équilibre de corps hyperélastiques
compressibles en grandes déformations.
(French) [A numerical method for solving
equilibrium problems of compressible
hyperelastic bodies in large
deformations] . . . . . . . . . . . . . 199--224
K. Sikorski Optimal solution of nonlinear equations
satisfying a Lipschitz condition . . . . 225--240
M. Gaviano and
F. Testa A general convergence theorem for the
reduced gradient method . . . . . . . . 241--247
W. Dickmeis and
R. J. Nessel and
E. van Wickeren A general approach to counterexamples in
numerical analysis . . . . . . . . . . . 249--263
J. Elschner Galerkin methods with splines for
singular integral equations over
$(0,\,1)$ . . . . . . . . . . . . . . . 265--281
Jeannette van Iseghem Padé-type approximations of $\exp(-z)$
whose denominators are $(1 + z / n)^n$ 283--292
Annie A. M. Cuyt and
Brigitte M. Verdonk General order Newton--Padé approximants
for multivariate functions . . . . . . . 293--307
Rolf Rannacher Finite element solution of diffusion
problems with irregular data . . . . . . 309--327
Anonymous Announcing an International Conference
on Numerical Analysis . . . . . . . . . 328--328
V. N. Kublanovskaya ${AB}$-algorithm and its modifications
for the spectral problems of linear
pencils of matrices . . . . . . . . . . 329--342
Herbert Arndt Numerical solution of retarded initial
value problems: local and global error
and stepsize control . . . . . . . . . . 343--360
Jo A. M. Bollen Numerical Stability of Descent Methods
for Solving Linear Equations . . . . . . 361--377
Klaus Bartke Die Struktur der normalen rationalen
Funktionen. (German) [The structure of
normal rational functions] . . . . . . . 379--388
Zdzis\law Jackiewicz Asymptotic stability analysis of $\theta
$-methods for functional differential
equations . . . . . . . . . . . . . . . 389--396
Pavol Brunovský and
Pavol Meravý Solving systems of polynomial equations
by bounded and real homotopy . . . . . . 397--418
Kazuo Ishihara Monotone explicit iterations of the
finite element approximations for the
nonlinear boundary value problem . . . . 419--437
Bruno Gabutti On two methods for accelerating
convergence of series . . . . . . . . . 439--461
Gunter H. Meyer Free boundary problems with nonlinear
source terms . . . . . . . . . . . . . . 463--483
J. H. Wilkinson On neighbouring matrices with quadratic
elementary divisors . . . . . . . . . . 1--21
George Csordas and
Richard S. Varga Comparisons of regular splittings of
matrices . . . . . . . . . . . . . . . . 23--35
Josef Stoer The convergence of matrices generated by
rank-2 methods from the restricted
$\beta$-class of Broyden . . . . . . . . 37--52
Walter Gautschi Discrete approximations to spherically
symmetric distributions . . . . . . . . 53--60
G. W. Stewart On the invariance of perturbed null
vectors under column scaling . . . . . . 61--65
C. Zenger Positivity in complex spaces and its
application to Gershgorin discs . . . . 67--73
I. Babu\vska and
M. Vogelius Feedback and adaptive finite element
solution of one-dimensional boundary
value problems . . . . . . . . . . . . . 75--102
B. N. Parlett and
W. D. Wu Eigenvector matrices of symmetric
tridiagonals . . . . . . . . . . . . . . 103--110
M. von Golitschek and
H. Schneider Applications of shortest path algorithms
to matrix scalings . . . . . . . . . . . 111--126
L. Elsner A note on optimal block-scaling of
matrices . . . . . . . . . . . . . . . . 127--128
W. Niethammer and
H. Wietschorke On the acceleration of limit periodic
continued fractions . . . . . . . . . . 129--137
Werner Sautter Zur Kondition des linearen
Ausgleichsproblems mit linearen
Gleichungen als Nebenbedingungen.
(German) [On the condition of the linear
least squares problem with linear
equations as side conditions] . . . . . 139--152
Maksymilian Dryja A finite element-capacitance method for
elliptic problems on regions partitioned
into subregions . . . . . . . . . . . . 153--168
G. W. Wasilkowski and
H. Wo\'zniakowski Can adaption help on the average? . . . 169--190
A. K. Aziz and
Houde Han and
M. Schneider A finite element method for a boundary
value problem of mixed type . . . . . . 191--200
Claudio Canuto and
Yvon Maday and
Alfio Quarteroni Combined finite element and spectral
approximation of the Navier--Stokes
equations . . . . . . . . . . . . . . . 201--217
J. M. Boland and
R. A. Nicolaides On the stability of bilinear-constant
velocity-pressure finite elements . . . 219--222
Raj\vco D. Lazarov and
Vladimir L. Makarov and
Wilfried Weinelt On the convergence of difference schemes
for the approximation of solutions $u\in
{W}^{m}_{2}$ $(m>0.5)$ of elliptic
equations with mixed derivatives . . . . 223--232
Johann Schröder Numerical error bounds for fourth order
boundary value problems, simultaneous
estimation of $u(x)$ and
$u^{\prime\prime}(x)$ . . . . . . . . . 233--245
J. G. Verwer Contractivity of locally one-dimensional
splitting methods . . . . . . . . . . . 247--259
G. Akrivis Fehlerabschätzungen für
Gauß-Quadraturformeln. (German) [Error
estimates for Gaussian quadrature
formulas] . . . . . . . . . . . . . . . 261--278
C. Palencia and
J. M. Sanz-Serna An extension of the Lax--Richtmyer
theory . . . . . . . . . . . . . . . . . 279--283
Kazuo Ishihara On numerical asymptotic behavior of
finite element solutions for parabolic
equations . . . . . . . . . . . . . . . 285--300
Jan-Erik Andersson and
Borislav D. Bojanov A note on the optimal quadrature in
${H}^{p}$ . . . . . . . . . . . . . . . 301--308
M. E. Brewster and
R. Kannan Nonlinear successive over-relaxation . . 309--315
William B. Gragg and
William J. Harrod The numerically stable reconstruction of
Jacobi matrices from spectral data . . . 317--335
H. Strauss Monotonicity of quadrature formulae of
Gauss type and comparison theorems for
monosplines . . . . . . . . . . . . . . 337--347
Zhong-ci Shi A convergence condition for the
quadrilateral Wilson element . . . . . . 349--361
Mouhamed Nabih El Tarazi Algorithmes mixtes asynchrones. Étude de
convergence monotone. (French)
[Asynchronous mixed algorithms. Study of
monotonic convergence] . . . . . . . . . 363--369
M. Vanninathan and
G. D. Veerappa Gowda Approximation of Tricomi problem with
Neumann boundary condition . . . . . . . 371--391
Richard Haverkamp Eine Aussage zur $L_\infty$-Stabilität
und zur genauen Konvergenzordnung der
$H^1_0$-Projektionen. (German) [A
statement concerning
$L_\infty$-stability and the exact order
of convergence of $H^1_0$-projections] 393--405
Manfred Reimer Best constants occurring with the
modulus of continuity in the error
estimate for spline interpolants of odd
degree on equidistant grids . . . . . . 407--415
Manfred Reimer Error estimates for spline interpolants
on equidistant grids . . . . . . . . . . 417--424
Eugene O'Riordan Singularly perturbed finite element
methods . . . . . . . . . . . . . . . . 425--434
Rudolf Wegmann Convergence proofs and error estimates
for an iterative method for conformal
mapping . . . . . . . . . . . . . . . . 435--461
Miodrag Petkovi\'c and
Lidija Stefanovi\'c On the convergence order of accelerated
root iterations . . . . . . . . . . . . 463--476
Douglas N. Arnold and
Jim Douglas, Jr. and
Chaitan P. Gupta A family of higher order mixed finite
element methods for plane elasticity . . 1--22
Franco Tomarelli Regularity theorems and optimal error
estimates for linear parabolic Cauchy
problems . . . . . . . . . . . . . . . . 23--50
P. M. Hanson and
J. E. Walsh Asymptotic theory of the global error
and some techniques of error estimation 51--74
Carlos Conca Approximation de quelques probl\`emes de
type Stokes par une méthode d'éléments
finis mixtes. (French) [Mixed finite
element approximation of Stokes-type
problems] . . . . . . . . . . . . . . . 75--91
B. Z. Kacewicz How to increase the order to get
minimal-error algorithms for systems of
ODE . . . . . . . . . . . . . . . . . . 93--104
Michal K\vrí\vzek and
Pekka Neittaanmäki Superconvergence phenomenon in the
finite element method arising from
averaging gradients . . . . . . . . . . 105--116
Jacques Rappaz Approximation of a nondifferentiable
nonlinear problem related to MHD
equilibria . . . . . . . . . . . . . . . 117--133
R. Smarzewski and
A. Bujalska-Horbowicz Quartic $X$-splines . . . . . . . . . . 135--148
Claudine Chaffy Une construction ``homog\`ene''
d'approximants de Padé \`a deux variables
complexes. (French) [A ``homogeneous''
construction of Padé approximants in two
complex variables] . . . . . . . . . . . 149--164
Lois Mansfield On finite element subspaces over
quadrilateral and hexahedral meshes for
incompressible viscous flow problems . . 165--172
J. M. Sanz-Serna Convergence of the Lambert-McLeod
trajectory solver and of the CELF method 173--182
A. Iserles Solving linear ordinary differential
equations by exponentials of iterated
commutators . . . . . . . . . . . . . . 183--199
L. F. Shampine Asymptotic bounds on the errors of
one-step methods . . . . . . . . . . . . 201--206
Andrzej Marciniak Energy conserving, arbitrary order
numerical solutions of the ${N}$-body
problem . . . . . . . . . . . . . . . . 207--218
R. Kannan and
M. B. Ray Monotone iterative methods for nonlinear
equations involving a noninvertible
linear part . . . . . . . . . . . . . . 219--225
Stephan Ruscheweyh On a global descent method for
polynomials . . . . . . . . . . . . . . 227--240
T. J. Ypma Convergence of Newton-like-iterative
methods . . . . . . . . . . . . . . . . 241--251
R. Reemtsen and
A. Kirsch A method for the numerical solution of
the one-dimensional inverse Stefan
problem . . . . . . . . . . . . . . . . 253--273
Kurt Jetter Eine kurze Anmerkung zur
Romberg-Integration. (German) [A short
note on Romberg integration] . . . . . . 275--281
K. Strehmel and
R. Weiner Partitioned adaptive Runge--Kutta
methods and their stability . . . . . . 283--300
A. M. Sanchez and
R. Arcangeli Estimations des erreurs de meilleure
approximation polynômiale et
d'interpolation de Lagrange dans les
espaces de Sobolev d'ordre non entier.
(French) [Estimates of the best
polynomial approximation errors and the
Lagrange interpolation error in
fractional-order Sobolev spaces] . . . . 301--321
James P. Fink and
Werner C. Rheinboldt Solution manifolds and submanifolds of
parametrized equations and their
discretization errors . . . . . . . . . 323--343
E. Hairer and
C. Lubich Asymptotic expansions of the global
error of fixed-stepsize methods . . . . 345--360
Joszef Abaffy and
Charles G. Broyden and
Emilio Spedicato A Class of Direct Methods for Linear
Systems . . . . . . . . . . . . . . . . 361--376
Pham Dinh Tao Algorithmes de calcul du maximum des
formes quadratiques sur la boule unité de
la norme du maximum. (French) [Some
methods for computing the maximum of
quadratic forms on the unit ball of the
maximum norm] . . . . . . . . . . . . . 377--401
J. J. M. Cuppen On Updating Triangular Products of
Householder Reflections . . . . . . . . 403--409
Krzysztof C. Kiwiel A quadratic approximation method for
minimizing a class of
quasidifferentiable functions . . . . . 411--430
P. P. B. Eggermont Stability and robustness of collocation
methods for Abel-type integral equations 431--445
Nikolaos M. Missirlis Convergence theory of extrapolated
iterative methods for a certain class of
non-symmetric linear systems . . . . . . 447--458
Uri Ascher On some difference schemes for singular
singularly-perturbed boundary value
problems . . . . . . . . . . . . . . . . 1--30
Mario Arioli and
Francesco Romani Relations Between Condition Numbers and
the Convergence of the Jacobi Method for
Real Positive Definite Matrices . . . . 31--42
Tien-Yien Li and
John Mallet-Paret and
James A. Yorke Regularity results for real analytic
homotopies . . . . . . . . . . . . . . . 43--50
Harald Niederreiter The serial test for pseudo-random
numbers generated by the linear
congruential method . . . . . . . . . . 51--68
Günter Mayer On the convergence of powers of interval
matrices. II . . . . . . . . . . . . . . 69--83
M. Brokate Numerical solution of a hyperbolic free
boundary problem with a method of
characteristics . . . . . . . . . . . . 85--99
S. Kesavan and
A. S. Vasudevamurthy On some boundary element methods for the
heat equation . . . . . . . . . . . . . 101--120
C. Dagnino and
A. Palamara Orsi On the evaluation of certain
two-dimensional singular integrals with
Cauchy kernels . . . . . . . . . . . . . 121--130
E. Görlich and
D. Pontzen Alpha well-posedness, alpha stability,
and the matrix theorems of H.-O. Kreiss 131--146
Jan Mandel On multilevel iterative methods for
integral equations of the second kind
and related problems . . . . . . . . . . 147--157
S. L. Dodd and
D. F. McAllister Algorithms for computing shape
preserving spline approximations to data 159--174
M. Laydi and
P. Lesaint Sur les éléments finis rationnels de
Serendip de degré quelconque. (French)
[On rational Serendip finite elements of
arbitrary degree] . . . . . . . . . . . 175--187
Dirk Roose and
Robert Piessens Numerical computation of nonsimple
turning points and cusps . . . . . . . . 189--211
Götz Alefeld and
Peter Volkmann Regular splittings and monotone
iteration functions . . . . . . . . . . 213--228
M. Sahba On the solution of nonlinear
inequalities in a finite number of
iterations . . . . . . . . . . . . . . . 229--236
Vitoriano Ruas Quasisolenoidal velocity-pressure finite
element methods for the
three-dimensional Stokes problem . . . . 237--253
M. Arioli and
A. Laratta Error Analysis of an Algorithm for
Solving an Underdetermined Linear System 255--268
M. Fortin A three-dimensional quadratic
nonconforming element . . . . . . . . . 269--279
Robert Schaback Convergence analysis of the general
Gauss--Newton algorithm . . . . . . . . 281--309
Claude Brezinski Composite sequence transformations . . . 311--321
James Lucien Howland and
Rémi Vaillancourt Attractive cycles in the iteration of
meromorphic functions . . . . . . . . . 323--337
G. Mühlbach Two composition methods for solving
certain systems of linear equations . . 339--349
H. Schippers Multigrid methods for boundary integral
equations . . . . . . . . . . . . . . . 351--363
Friedrich Stummel Forward error analysis of Gaussian
elimination. I. Error and residual
estimates . . . . . . . . . . . . . . . 365--395
Friedrich Stummel Forward error analysis of Gaussian
elimination. II. Stability theorems . . 397--415
J. F. Ciavaldini and
M. Crouzeix A finite element method scheme for
one-dimensional elliptic equations with
high super convergence at the nodes . . 417--427
Peter Knabner Control of Stefan problems by means of
linear-quadratic defect minimization . . 429--442
J. J. Modi and
J. D. Pryce Efficient implementation of Jacobi's
diagonalization method on the DAP . . . 443--454
K. Zi\ketak The Chebyshev solution of the linear
matrix equation $AX+YB=C$ . . . . . . . 455--478
Charles F. Van Loan Computing the $CS$ and the Generalized
singular value decompositions . . . . . 479--491
R. Robert and
P. Witomski Sur une équation d'évolution
intégro-différentielle singuli\`ere
linéaire. (French) [A singular
integro-differential evolution equation] 493--498
Kazuo Ishihara A finite element lumped mass scheme for
solving eigenvalue problems of circular
arches. II. Numerical experiments with
Double precision arithmetic . . . . . . 499--504
C. Canuto and
S. I. Hariharan and
L. Lustman Spectral methods for exterior elliptic
problems . . . . . . . . . . . . . . . . 505--520
Koichi Niijima On a difference scheme of exponential
type for a nonlinear singular
perturbation problem . . . . . . . . . . 521--539
Christopher Baltus and
William B. Jones Truncation error bounds for
limit-periodic continued fractions
$K(a_n/1)$ with $\lim a_n=0$ . . . . . . 541--569
C. V. Pao Monotone iterative methods for finite
difference system of reaction-diffusion
equations . . . . . . . . . . . . . . . 571--586
I. N. Molchanov and
\=E. F. Galba On finite element methods for the
Neumann problem . . . . . . . . . . . . 587--598
Alexander Eydeland A method of solving nonlinear
variational problems by nonlinear
transformation of the objective
functional. II . . . . . . . . . . . . . 599--609
J. N. Lyness The Euler Maclaurin expansion for the
Cauchy principal value integral . . . . 611--622
Petra Peisker A multilevel algorithm for the
biharmonic problem . . . . . . . . . . . 623--634
John Lund Bessel transforms and rational
extrapolation . . . . . . . . . . . . . 1--14
U. Lamp and
K. T. Schleicher and
W. L. Wendland The fast Fourier transform and the
numerical solution of one-dimensional
boundary integral equations . . . . . . 15--38
Marc Bourdeau and
Alain Pitre Tables of good lattices in four and five
dimensions . . . . . . . . . . . . . . . 39--43
Ph. Cortey-Dumont On finite element approximation in the
$L^\infty$-norm of variational
inequalities . . . . . . . . . . . . . . 45--57
Peter Albrecht Numerical treatment of ODEs: the theory
of ${A}$-methods . . . . . . . . . . . . 59--87
M. A. Kowalski and
A. G. Werschulz and
H. Wo\'zniakowski Is Gauss quadrature optimal for analytic
functions? . . . . . . . . . . . . . . . 89--98
M. F. Hutchinson and
F. R. de Hoog Smoothing noisy data with spline
functions . . . . . . . . . . . . . . . 99--106
Fabio A. Milner A primal hybrid finite element method
for quasilinear second order elliptic
problems . . . . . . . . . . . . . . . . 107--122
Joseph W. Jerome An adaptive Newton algorithm based on
numerical inversion: regularization as
postconditioner . . . . . . . . . . . . 123--138
Mitsuhiro T. Nakao Error estimates of a Galerkin method for
some nonlinear Sobolev equations in one
space dimension . . . . . . . . . . . . 139--157
V. L. Bakke and
Z. Jackiewicz Stability of reducible quadrature
methods for Volterra integral equations
of the second kind . . . . . . . . . . . 159--173
J. Roman Calculs de complexité relatifs \`a une
méthode de dissection emboî tée. (French)
[Relative complexity bounds for a nested
dissection method] . . . . . . . . . . . 175--190
Egil Rye and
Haakon Waadeland Reflections on value regions, limit
regions and truncation errors for
continued fractions . . . . . . . . . . 191--215
Franco Brezzi and
Jim Douglas, Jr. and
L. D. Marini Two families of mixed finite elements
for second order elliptic problems . . . 217--235
I. Gohberg and
I. Koltracht Numerical solution of integral
equations, fast algorithms and
Kre\uìn-Sobolev equation . . . . . . . . 237--288
Alan L. Andrew and
John W. Paine Correction of Numerov's eigenvalue
estimates . . . . . . . . . . . . . . . 289--300
Alfredo Bellen and
Marino Zennaro Numerical solution of delay differential
equations by uniform corrections to an
implicit Runge--Kutta method . . . . . . 301--316
Douglas N. Arnold and
Wolfgang L. Wendland The convergence of spline collocation
for strongly elliptic equations on
curves . . . . . . . . . . . . . . . . . 317--341
Frank Natterer Fourier reconstruction in tomography . . 343--353
Ronald Guenther and
Robert Hudspeth and
William McDougal and
Jürgen Gerlach Remarks on parameter identification. I 355--361
Germund Dahlquist On transformations of graded matrices,
with applications to stiff ODEs . . . . 363--385
Sven-Åke Gustafson Stable convergence acceleration using
Laplace transforms . . . . . . . . . . . 387--394
Helmut Braß Eine Fehlerabschätzung für positive
Quadraturformeln. (German) [An error
estimate for positive quadrature
formulas] . . . . . . . . . . . . . . . 395--399
Reinhard Menzel and
Hubert Schwetlick Parametrization via secant length and
application to path following . . . . . 401--412
Jochen W. Schmidt and
Wolfgang Hoyer and
Christian Haufe Consistent approximations in Newton-type
decomposition methods . . . . . . . . . 413--425
Valerie A. Miller and
Michael Neumann A note on comparison theorems for
nonnegative matrices . . . . . . . . . . 427--434
M. I. Comodi Approximation of a bending plate problem
with a boundary unilateral constraint 435--458
John C. Bruch, Jr. and
James M. Sloss Alternating iteration and elliptic
variational inequalities . . . . . . . . 459--481
M. W. Berry and
M. T. Heath and
I. Kaneko and
M. Lawo and
R. J. Plemmons and
R. C. Ward An algorithm to compute a sparse basis
of the null space . . . . . . . . . . . 483--504
M. Eiermann and
W. Niethammer and
R. S. Varga A study of semiiterative methods for
nonsymmetric systems of linear equations 505--533
G. Akrivis and
A. Burgstaller Fehlerabschätzungen für nichtsymmetrische
Gauß-Quadraturformeln. (German) [Error
estimates for nonsymmetric Gaussian
quadrature formuale] . . . . . . . . . . 535--543
Peter Rentrop Partitioned Runge--Kutta methods with
stiffness detection and stepsize control 545--564
Rolf Dieter Grigorieff Einige Stabilitätsungleichungen für
gewöhnliche Differenzengleichungen in
nichtkompakter Form. (German) [Some
stability inequalities for ordinary
difference equations in noncompact form] 565--576
Lisa Jacobsen Repeated modifications of limit
$k$-periodic continued fractions . . . . 577--595
R. Kosler ${W}^{m,2}$-Fehlerabschätzungen für
Galerkin-Näherungen schwach elliptischer
quasilinearer Randwertprobleme $2m$-ter
Ordnung. (German) [${W}^{m,2}$-error
estimates for Galerkin approximations of
weakly elliptic quasilinear boundary
value problems of order $2m$] . . . . . 597--609
Florencio I. Utreras Smoothing noisy data under monotonicity
constraint: existence, characterization
and convergence rates . . . . . . . . . 611--625
Eduardo Casas $L^2$ estimates for the finite element
method for the Dirichlet problem with
singular data . . . . . . . . . . . . . 627--632
Robert D. Skeel Thirteen ways to estimate global error 1--20
G. M. Trojan Optimal transformations for scalar
sequences . . . . . . . . . . . . . . . 21--32
Rolf Jeltsch and
Olavi Nevanlinna Accuracy and stability of multistage
multistep formulas . . . . . . . . . . . 33--83
Urs Kirchgraber Multi-step methods are essentially
one-step methods . . . . . . . . . . . . 85--90
Tetsuro Yamamoto Error bounds for Newton's iterates
derived from the Kantorovich theorem . . 91--98
S. Prössdorf and
A. Rathsfeld On spline Galerkin methods for singular
integral equations with piecewise
continuous coefficients . . . . . . . . 99--118
W. M. Häussler A Kantorovich-type convergence analysis
for the Gauss--Newton method . . . . . . 119--125
V. L. Bakke and
Z. Jackiewicz Stability analysis of product
$\theta$-methods for Abel integral
equations of the second kind . . . . . . 127--136
G. Raugel Finite-dimensional approximation of
bifurcation problems in presence of
symmetries . . . . . . . . . . . . . . . 137--198
Bruno Gabutti and
J. N. Lyness Some generalizations of the Euler-Knopp
transformation . . . . . . . . . . . . . 199--220
Klaus-Günther G. Strack Stability and accuracy for implicit
semidiscretizations of hyperbolic
problems . . . . . . . . . . . . . . . . 221--237
M. Cosnard and
J.-M. Muller and
Y. Robert Parallel $QR$ decomposition of a
rectangular matrix . . . . . . . . . . . 239--249
Alfred K. Louis Incomplete data problems in X-ray
computerized tomography I. Singular
value decomposition of the limited angle
transform . . . . . . . . . . . . . . . 251--262
P. P. B. Eggermont Improving the accuracy of collocation
solutions of Volterra integral equations
of the first kind by local interpolation 263--279
P. Destuynder and
J.-C. Nédélec Approximation numérique du cisaillement
transverse dans les plaques minces en
flexion. (French) [Numerical
approximation of transverse shear stress
in bent plates] . . . . . . . . . . . . 281--302
J. F. B. M. Kraaijevanger Absolute monotonicity of polynomials
occurring in the numerical solution of
initial value problems . . . . . . . . . 303--322
Helmut Werner and
H. Hilgers Lösung von Differentialgleichungen mit
Splinefunktionen. Eine Störungstheorie.
I. Divergenzaussagen. (German) [Solution
of differential equations by splines. A
perturbation theory. I. Statements about
divergence] . . . . . . . . . . . . . . 323--336
Youcef Saad On the condition number of some Gram
matrices arising from least squares
approximation in the complex plane . . . 337--347
A. S. Krishnakumar and
Martin Morf Eigenvalues of a Symmetric Tridiagonal
Matrix: a Divide-and-Conquer Approach 349--368
Walter Gautschi On the sensitivity of orthogonal
polynomials to perturbations in the
moments . . . . . . . . . . . . . . . . 369--382
E. Hairer ${A}$- and ${B}$-stability for
Runge--Kutta methods---characterizations
and equivalence . . . . . . . . . . . . 383--389
G. Alefeld Componentwise inclusion and exclusion
sets for solutions of quadratic
equations in finite-dimensional spaces 391--416
F. Brezzi and
M. Cornalba and
A. Di Carlo How to get around a simple quadratic
fold . . . . . . . . . . . . . . . . . . 417--427
Helmut Werner Multivariate Padé approximation . . . . . 429--440
H. Späth Orthogonal least squares fitting with
linear manifolds . . . . . . . . . . . . 441--445
Rolf Stenberg On the construction of optimal mixed
finite element methods for the linear
elasticity problem . . . . . . . . . . . 447--462
G. Nürnberger and
M. Sommer and
H. Strauß An algorithm for segment approximation 463--477
Owe Axelsson and
Gunhild Lindskog On the eigenvalue distribution of a
class of preconditioning methods . . . . 479--498
Owe Axelsson and
Gunhild Lindskog On the rate of convergence of the
preconditioned conjugate gradient method 499--523
Roland Freund and
Stephan Ruscheweyh On a class of Chebyshev approximation
problems which arise in connection with
a conjugate gradient type method . . . . 525--542
A. van der Sluis and
H. A. van der Vorst The Rate of Convergence of Conjugate
Gradients . . . . . . . . . . . . . . . 543--560
Fadi El Dabaghi and
Olivier Pironneau Stream vectors in three-dimensional
aerodynamics . . . . . . . . . . . . . . 561--589
A. Griewank and
G. W. Reddien The approximation of generalized turning
points by projection methods with
superconvergence to the critical
parameter . . . . . . . . . . . . . . . 591--606
M. Hegland and
J. T. Marti Numerical computation of least constants
for the Sobolev inequality . . . . . . . 607--616
Wolfgang Volk Globale Superkonvergenz bei der Lösung
von linearen Randwertaufgaben. (German)
[Global superconvergence in the solution
of linear boundary value problems] . . . 617--625
David Culpin Calculation of cubic smoothing splines
for equally spaced data . . . . . . . . 627--638
N. Papamichael and
M. K. Warby Stability and convergence properties of
Bergman kernel methods for numerical
conformal mapping . . . . . . . . . . . 639--669
A. R. Davies and
R. S. Anderssen Improved estimates of statistical
regularization parameters in Fourier
differentiation and smoothing . . . . . 671--697
M. H. Gutknecht and
W. Niethammer and
R. S. Varga $k$-step iterative methods for solving
nonlinear systems of equations . . . . . 699--712
Chiu Li Hu and
Larry L. Schumaker Complete spline smoothing . . . . . . . 1--10
H. Blum and
Q. Lin and
R. Rannacher Asymptotic error expansion and
Richardson extrapolation for linear
finite elements . . . . . . . . . . . . 11--37
Zbigniew Leyk A ${C}^0$-collocation-like method for
two-point boundary value problems . . . 39--53
Manfred Reimer and
D. Siepmann An elementary algebraic representation
of polynomial spline interpolants for
equidistant lattices and its condition 55--65
Jennifer Dixon and
Sean McKee and
Rolf Jeltsch Convergence analysis of discretization
methods for nonlinear first kind
Volterra integral equations . . . . . . 67--80
A. W. Bojánczyk and
R. P. Brent and
F. R. de Hoog $QR$ factorization of Toeplitz matrices 81--94
C. Großmann and
M. Krätzschmar and
H.-G. Roos Gleichmäßig einschließende
Diskretisierungsverfahren für schwach
nichtlineare Randwertaufgaben. (German)
[Uniformly enclosing discretization
methods for weakly nonlinear boundary
value problems] . . . . . . . . . . . . 95--110
Walter Gautschi and
Gradimir V. Milovanovi\'c Spline approximations to spherically
symmetric distributions . . . . . . . . 111--121
M. N. Vrahatis and
K. I. Iordanidis A rapid generalized method of bisection
for solving systems of non-linear
equations . . . . . . . . . . . . . . . 123--138
R. Frank and
J. Hertling and
H. Lehner $B$-convergence properties of defect
correction methods. I . . . . . . . . . 139--162
R. Frank and
J. Hertling and
H. Lehner $B$-convergence properties of defect
correction methods. II . . . . . . . . . 163--188
Jim Douglas, Jr. and
Chaitan P. Gupta Superconvergence for a mixed finite
element method for elastic wave
propagation in a plane domain . . . . . 189--202
Tetsuro Yamamoto A method for finding sharp error bounds
for Newton's method under the
Kantorovich assumptions . . . . . . . . 203--220
Bernard Beauzamy Jensen's inequality for polynomials with
concentration at low degrees . . . . . . 221--225
C. U. Huy and
P. J. McKenna and
W. Walter Finite difference approximations to the
Dirichlet problem for elliptic systems 227--237
Ronald H. W. Hoppe Multi-grid methods for
Hamilton--Jacobi--Bellman equations . . 239--254
Reinhard Scholz Numerical solution of the obstacle
problem by the penalty method. II.
Time-dependent problems . . . . . . . . 255--268
Ronald Cools and
Ann Haegemans Optimal addition of knots to cubature
formulae for planar regions . . . . . . 269--274
E. Jan W. ter Maten and
Gerard L. G. Sleijpen A convergence analysis of hopscotch
methods for fourth order parabolic
equations . . . . . . . . . . . . . . . 275--290
Mohammed-Najib Benbourhim Spline approximant in Hilbertian
subspaces of ${\cal C}({\Omega})$ . . . 291--303
Marino Zennaro $P$-stability properties of Runge--Kutta
methods for delay differential equations 305--318
J. M. Sanz-Serna and
M. N. Spijker Regions of stability, equivalence
theorems and the Courant-Friedrichs-Lewy
condition . . . . . . . . . . . . . . . 319--329
Jean Meinguet On the Davis-Kahan-Weinberger solution
of the norm-preserving dilation problem 331--341
John W. Barrett and
Charles M. Elliott Finite element approximation of the
Dirichlet problem using the boundary
penalty method . . . . . . . . . . . . . 343--366
Alfredo N. Iusem and
Alvaro Rodolfo De Pierro Convergence results for an accelerated
nonlinear Cimmino algorithm . . . . . . 367--378
Harry Yserentant On the Multi-Level Splitting of Finite
Element Spaces . . . . . . . . . . . . . 379--412
J. A. van de Griend and
J. F. B. M. Kraaijevanger Absolute monotonicity of rational
functions occurring in the numerical
solution of initial value problems . . . 413--424
Pinchas Bar-Yoseph and
Moshe Israeli An asymptotic finite element method for
improvement of solutions of boundary
layer problems . . . . . . . . . . . . . 425--438
J. L. Gout and
A. Guessab Sur les formules de quadrature numérique
\`a nombre minimal de n\oeuds
d'intégration. (French) [Cubature
formulas with a minimal number of knots] 439--455
R. Beauwens Erratum: ``Factorization iterative
methods, $M$-operators and
$H$-operators'' [Numer. Math. 31
1978/1979, no. 4, 335--357 and MR
81e:65014] . . . . . . . . . . . . . . . 457--457
Anonymous Announcement: Alston S. Householder
Award VI (1987) . . . . . . . . . . . . 459--459
Yiannis G. Saridakis On the analysis of the unsymmetric
successive overrelaxation method when
applied to $p$-cyclic matrices . . . . . 461--473
Zi-Cai Li A nonconforming combined method for
solving Laplace's boundary value
problems with singularities . . . . . . 475--497
Stephen Joe and
Ian H. Sloan On Bateman's method for second kind
integral equations . . . . . . . . . . . 499--510
Guo Ben Yu and
A. R. Mitchell Analysis of a nonlinear difference
scheme in reaction-diffusion . . . . . . 511--527
Takashi Suzuki and
Hiroshi Fujita A remark on the $L^\infty$ bounds of the
Ritz operator associated with a finite
element approximation . . . . . . . . . 529--544
H. Ortloff Asymptotisches Verhalten und
Konvergenzbeschleunigung von
Iterationsfolgen. (German) [Asymptotic
behavior and acceleration of convergence
of iteration sequences] . . . . . . . . 545--559
A. Guessab Cubature formulae which are exact on
spaces ${P}$, intermediate
between${P}_k$ and ${Q}_{k'}$ . . . . . 561--576
W. Gui and
I. Babu\vska The $h$, $p$ and $h-p$ versions of the
finite element method for
one-dimensional problems. Part I: The
error analysis of the $p$-version . . . 577--612
W. Gui and
I. Babu\vska The $h$, $p$ and $h-p$ versions of the
finite element method for
one-dimensional problems. Part II: The
error analysis of the $h$ and $p$
versions . . . . . . . . . . . . . . . . 613--657
W. Gui and
I. Babu\vska The $h$, $p$ and $h-p$ versions of the
finite element method for
one-dimensional problems. Part III: The
adaptive $h-p$ version . . . . . . . . . 659--683
King-wah Eric Chu Generalization of the Bauer--Fike
Theorem . . . . . . . . . . . . . . . . 685--691
Martin Stynes and
Eugene O'Riordan A finite element method for a singularly
perturbed boundary value problem . . . . 1--15
Günter Mayer On a theorem of Stein--Rosenberg type in
interval analysis . . . . . . . . . . . 17--26
Gustaf Söderlind Bounds on nonlinear operators in
finite-dimensional Banach spaces . . . . 27--44
Robert Kosler A priori-Schranken für diskrete Lösungen
monotoner Operatorgleichungen und
Anwendungen. (German) [A priori bounds
for discrete solutions of monotone
operator equations and applications] . . 45--55
J.-C. Nédélec A new family of mixed finite elements in
${\bf R}^3$ . . . . . . . . . . . . . . 57--81
W. H. Hundsdorfer Stability and $B$-convergence of
linearly implicit Runge--Kutta methods 83--95
M. N. Spijker Monotonicity and boundedness in implicit
Runge--Kutta methods . . . . . . . . . . 97--109
Götz Alefeld and
Peter Volkmann Zur Konvergenz des SSOR-Verfahrens für
nichtlineare Gleichungssysteme. (German)
[Convergence of the SSOR-method for
nonlinear systems of simultaneous
equations] . . . . . . . . . . . . . . . 111--121
Harry Yserentant Erratum: ``On the multilevel splitting
of finite element spaces'' . . . . . . . 123--123
U. Banerjee and
A. Lutoborski Approximation of the solution of a
fourth-order boundary value problem with
nonsmooth coefficient . . . . . . . . . 125--145
D. Blanchard and
P. Le Tallec Numerical analysis of the equations of
small strains quasistatic
elastoviscoplasticity . . . . . . . . . 147--169
Manabu Sakai and
M. C. López de Silanes A simple rational spline and its
application to monotonic interpolation
to monotonic data . . . . . . . . . . . 171--182
E. Gekeler and
R. Widmann On the order conditions of Runge--Kutta
methods with higher derivatives . . . . 183--203
Alan L. Andrew and
John W. Paine Correction of finite element estimates
for Sturm--Liouville eigenvalues . . . . 205--215
Claudio Canuto and
Giovanni Sacchi Landriani Analysis of the Kleiser-Schumann method 217--243
Erich Novak The average a posteriori error of
numerical methods . . . . . . . . . . . 245--252
William W. Hager A modified fast Fourier transform for
polynomial evaluation and the
Jenkins--Traub algorithm . . . . . . . . 253--261
Eberhard Schock Semi-iterative methods for the
approximate solution of ill-posed
problems . . . . . . . . . . . . . . . . 263--271
Giovanni Monegato On the weights of certain quadratures
for the numerical evaluation of Cauchy
principal value integrals and their
derivatives . . . . . . . . . . . . . . 273--281
T.-Y. Li and
Tim Sauer Regularity results for solving systems
of polynomials by homotopy method . . . 283--289
Ulrich Langer Zur numerischen Lösung des ersten
biharmonischen Randwertproblems.
(German) [On the numerical solution of
the first biharmonic boundary value
problem] . . . . . . . . . . . . . . . . 291--310
F. R. de Hoog and
M. F. Hutchinson An efficient method for calculating
smoothing splines using orthogonal
transformations . . . . . . . . . . . . 311--319
M. Gaviano and
J. Abaffy Line search by curve fitting in
minimization algorithms . . . . . . . . 321--335
Günther Schmidt Spline collocation for singular
integro-differential equations over
$(0,1)$ . . . . . . . . . . . . . . . . 337--352
Ludwig Kohaupt Optimal $L^\infty$-error estimates for
piecewise linear finite elements in
${\bf R}^n$ for $1\leq n\leq 3$ . . . . 353--362
S. R. K. Iyengar and
Pragya Jain Spline finite difference methods for
singular two point boundary value
problems . . . . . . . . . . . . . . . . 363--376
John R. Gilbert and
Robert Endre Tarjan The analysis of a nested dissection
algorithm . . . . . . . . . . . . . . . 377--404
J. M. Sanz-Serna and
J. G. Verwer and
W. H. Hundsdorfer Convergence and order reduction of
Runge--Kutta schemes applied to
evolutionary problems in partial
differential equations . . . . . . . . . 405--418
Giampietro Allasia and
Renata Besenghi Numerical calculation of incomplete
gamma functions by the trapezoidal rule 419--428
A. Hilali and
A. Wazner Formes super-irréductibles des syst\`emes
différentiels linéaires. (French)
[Superirreducible forms of linear
differential systems] . . . . . . . . . 429--449
Miloslav Feistauer and
Alexander \vZení\vsek Finite element solution of nonlinear
elliptic problems . . . . . . . . . . . 451--475
Tibor Fiala and
Anna Krebsz On the convergence and divergence of
Bairstow's method . . . . . . . . . . . 477--482
M. J. O'Reilly A uniform scheme for the singularly
perturbed Riccati equation . . . . . . . 483--501
Marco Frontini and
Walter Gautschi and
Gradimir V. Milovanovi\'c Moment-preserving spline approximation
on finite intervals . . . . . . . . . . 503--518
Martin Stynes and
Eugene O'Riordan $L^1$ and $L^\infty$ uniform convergence
of a difference scheme for a semilinear
singular perturbation problem . . . . . 519--531
Luisa Donatella Marini Estimates from above and from below for
the homogenized coefficients . . . . . . 533--545
W. Dickmeis Comparison theorems for compound
quadrature formulas . . . . . . . . . . 547--556
Alfredo Fetter $L^\infty$-error estimate for an
approximation of a parabolic variational
inequality . . . . . . . . . . . . . . . 557--565
P. Peisker and
D. Braess A conjugate gradient method and a
multigrid algorithm for Morley's finite
element approximation of the biharmonic
equation . . . . . . . . . . . . . . . . 567--586
Lucia Gastaldi and
Ricardo Nochetto Optimal $L^\infty$-error estimates for
nonconforming and mixed finite element
methods of lowest order . . . . . . . . 587--611
Nicholas J. Higham Error Analysis of the Björck-Pereyra
Algorithms for Solving Vandermonde
Systems . . . . . . . . . . . . . . . . 613--632
Helmut Jarausch and
Wolfgang Mackens Solving large nonlinear systems of
equations by an adaptive condensation
process . . . . . . . . . . . . . . . . 633--653
Miloslav Feistauer On the finite element approximation of a
cascade flow problem . . . . . . . . . . 655--684
Rüdiger Verfürth Mixed finite element approximation of
the vector potential . . . . . . . . . . 685--695
Rüdiger Verfürth Finite element approximation of
incompressible Navier--Stokes equations
with slip boundary condition . . . . . . 697--721
Tomá\vs Roubí\vcek Optimal control of a Stefan problem with
state-space constraints. Numerical
approximation . . . . . . . . . . . . . 723--744
F. L. Bauer and
A. S. Householder In memoriam: J. H. Wilkinson
(1919--1986) . . . . . . . . . . . . . . 1--2
Juergen Gerlach and
Ronald Guenther Remarks on parameter identification. II.
Convergence of the algorithm . . . . . . 3--9
Jochen W. Schmidt On tridiagonal linear complementarity
problems . . . . . . . . . . . . . . . . 11--21
John W. Barrett and
Charles M. Elliott A practical finite element approximation
of a semi-definite Neumann problem on a
curved domain . . . . . . . . . . . . . 23--36
W. Freeden and
J. Fleck Numerical integration by means of
adapted Euler summation formulas . . . . 37--64
R. H. J. Gmelig Meyling Approximation by cubic $C^1$-splines on
arbitrary triangulations . . . . . . . . 65--85
M. Masmoudi Numerical solution for exterior problems 87--101
Wolf-Jürgen Beyn On invariant closed curves for one-step
methods . . . . . . . . . . . . . . . . 103--122
Stuart Nelson and
Michael Neumann Generalizations of the projection method
with applications to SOR theory for
Hermitian positive semidefinite linear
systems . . . . . . . . . . . . . . . . 123--141
R. H. Chan Iterative methods for overflow queueing
models. I . . . . . . . . . . . . . . . 143--180
J. M. Ball and
G. Knowles A numerical method for detecting
singular minimizers . . . . . . . . . . 181--197
Winfried Auzinger Defect correction for nonlinear elliptic
difference equations . . . . . . . . . . 199--208
O. Axelsson A generalized conjugate gradient, least
square method . . . . . . . . . . . . . 209--227
Josef Schneid ${B}$-convergence of Lobatto ${\rm
IIIC}$ formulas . . . . . . . . . . . . 229--235
Franco Brezzi and
Jim Douglas, Jr. and
Ricardo Durán and
Michel Fortin Mixed finite elements for second order
elliptic problems in three variables . . 237--250
James Weldon Demmel On Condition Numbers and the Distance to
the Nearest Ill-Posed Problem . . . . . 251--289
Katalin Balla and
Mária Vicsek On the reduction of Holt's problem to a
finite interval . . . . . . . . . . . . 291--302
U. Banerjee Lower norm error estimates for
approximate solutions of differential
equations with non-smooth coefficients 303--321
S. Mas-Gallic and
P. A. Raviart A particle method for first-order
symmetric systems . . . . . . . . . . . 323--352
Volkmar Friedrich and
Bernd Hofmann A predictor-corrector technique for
constrained least-squares regularization 353--367
Bruno Gabutti and
Paolo Lepora The numerical performance of Tricomi's
formula for inverting the Laplace
transform . . . . . . . . . . . . . . . 369--380
C. V. Pao Numerical solutions for some coupled
systems of nonlinear boundary value
problems . . . . . . . . . . . . . . . . 381--394
Krzysztof C. Kiwiel A constraint linearization method for
nondifferentiable convex minimization 395--414
Carmen Dietel A fast iterative method for solving
stationary heat conduction problems on
regions partitioned into rectangles . . 415--428
József Abaffy and
Aurél Galántai and
Emilio Spedicato The local convergence of ABS methods for
nonlinear algebraic equations . . . . . 429--439
Alan Edelman and
Charles A. Micchelli Admissible slopes for monotone and
convex interpolation . . . . . . . . . . 441--458
Laurence Halpern and
Jeffrey Rauch Error analysis for absorbing boundary
conditions . . . . . . . . . . . . . . . 459--467
Josef Hekrdla Index transforms for $N$-dimensional
DFT's . . . . . . . . . . . . . . . . . 469--480
T.-Y. Li and
Tim Sauer and
James A. Yorke The random product homotopy and
deficient polynomial systems . . . . . . 481--500
P. Deuflhard and
E. Hairer and
J. Zugck One-step and extrapolation methods for
differential-algebraic systems . . . . . 501--516
A. Hadjidimos Optimum stationary and nonstationary
iterative methods for the solution of
singular linear systems . . . . . . . . 517--530
H. Späth and
G. A. Watson On orthogonal linear $\ell_1$
approximation . . . . . . . . . . . . . 531--543
Tetsuro Yamamoto A convergence theorem for Newton-like
methods in Banach spaces . . . . . . . . 545--557
Hans-Peter Helfrich Error estimates for semidiscrete
Galerkin type approximations to
semilinear evolution equations with
nonsmooth initial data . . . . . . . . . 559--569
H. Fiedler Das asymptotische Verhalten der
Peanokerne einiger interpolatorischer
Quadraturverfahren. (German) [The
asymptotic behavior of the Peano kernels
of some interpolatory quadrature
methods] . . . . . . . . . . . . . . . . 571--581
Paul Wild Accelerating the convergence of power
series of certain entire functions . . . 583--595
Zi-Cai Li Erratum: ``A nonconforming combined
method for solving Laplace's boundary
value problems with singularities'' . . 597--597
P. M. Anselone and
I. H. Sloan Numerical solutions of integral
equations on the half line. I. The
compact case . . . . . . . . . . . . . . 599--614
Martin H. Gutknecht Attenuation factors in multivariate
Fourier analysis . . . . . . . . . . . . 615--629
S. A. Belbas and
I. D. Mayergoyz Applications of fixed-point methods to
discrete variational and
quasi-variational inequalities . . . . . 631--654
Christine Bernardi and
Yvon Maday and
Brigitte Métivet Spectral approximation of the
periodic-nonperiodic Navier--Stokes
equations . . . . . . . . . . . . . . . 655--700
J. P. Thiran and
S. Thiry Strict Chebyshev approximation for
general systems of linear equations . . 701--725
Edward R. Vrscay and
William J. Gilbert Extraneous fixed points, basin
boundaries and chaotic dynamics for
Schröder and König rational iteration
functions . . . . . . . . . . . . . . . 1--16
Gerhard Opfer and
Hans Joachim Oberle The derivation of cubic splines with
obstacles by methods of optimization and
optimal control . . . . . . . . . . . . 17--31
Vitoriano Ruas A quadratic finite element method for
solving biharmonic problems in ${\bf
R}^n$ . . . . . . . . . . . . . . . . . 33--43
Michel Roche Rosenbrock methods for differential
algebraic equations . . . . . . . . . . 45--63
P. P. B. Eggermont On monotone Abel--Volterra integral
equations on the half line . . . . . . . 65--79
F. K. Hebeker On the numerical treatment of viscous
flows against bodies with corners and
edges by boundary element and multigrid
methods . . . . . . . . . . . . . . . . 81--99
B. D. Reddy and
T. B. Griffin Variational principles and convergence
of finite element approximations of a
holonomic elastic-plastic problem . . . 101--117
Alkiviadis G. Akritas A new method for computing polynomial
greatest common divisors and polynomial
remainder sequences . . . . . . . . . . 119--127
C. Lubich Convolution quadrature and discretized
operational calculus. I . . . . . . . . 129--145
Miloslav Feistauer and
Alexander \vZení\vsek Compactness method in the finite element
theory of nonlinear elliptic problems 147--163
Claudio Verdi and
Augusto Visintin Error estimates for a semi-explicit
numerical scheme for Stefan-type
problems . . . . . . . . . . . . . . . . 165--185
M. Bernadou and
Y. Ducatel and
P. Trouvé Approximation of a circular cylindrical
shell by Clough-Johnson flat plate
finite elements . . . . . . . . . . . . 187--217
G. Monegato and
V. Colombo Product integration for the linear
transport equation in slab geometry . . 219--240
Walter Gautschi and
Gabriele Inglese Lower Bounds for the Condition Number of
Vandermonde Matrices . . . . . . . . . . 241--250
Arnold Reusken Convergence of the multigrid full
approximation scheme for a class of
elliptic mildly nonlinear boundary value
problems . . . . . . . . . . . . . . . . 251--277
J. P. Charlier and
M. Vanbegin and
P. Van Dooren On efficient implementations of
Kogbetliantz's algorithm for computing
the singular value decomposition . . . . 279--300
Rolf Jeltsch and
Peywand Kiani and
Klaus Raczek Counterexamples to a stability barrier 301--316
Franz Peherstorfer On Gauss quadrature formulas with equal
weights . . . . . . . . . . . . . . . . 317--327
Daniele Funaro Domain decomposition methods for pseudo
spectral approximations. I. Second order
equations in one dimension . . . . . . . 329--344
G. A. Chandler and
I. G. Graham The convergence of Nyström methods for
Wiener--Hopf equations . . . . . . . . . 345--364
William F. Moss and
Philip W. Smith and
Joseph D. Ward Nonlinear eigenvalue approximation . . . 365--375
E. Hairer and
C. Lubich Extrapolation at stiff differential
equations . . . . . . . . . . . . . . . 377--400
Takuya Tsuchiya Enlargement procedure for resolution of
singularities at simple singular
solutions of nonlinear equations . . . . 401--411
C. Lubich Convolution quadrature and discretized
operational calculus. II . . . . . . . . 413--425
Randolph E. Bank and
Todd F. Dupont and
Harry Yserentant The Hierarchical Basis Multigrid Method 427--458
C. Dagnino and
A. Palamara Orsi Product integration of piecewise
continuous integrands based on cubic
spline interpolation at equally spaced
nodes . . . . . . . . . . . . . . . . . 459--466
A. Guessab Numerical cubature formulae with
preassigned knots . . . . . . . . . . . 467--478
Katalin Balla and
Mária Vicsek Erratum: ``On the reduction of Holt's
problem to a finite interval'' . . . . . 479--479
Gene H. Golub and
Richard S. Varga Obituary to Peter Henrici (13. September
1923--13. March 1987) . . . . . . . . . 481--482
G. Csordas and
T. S. Norfolk and
R. S. Varga A lower bound for the de Bruijn-Newman
constant ${\Lambda}$ . . . . . . . . . . 483--497
S. W. Ellacott and
E. B. Saff On Clenshaw's Method and a
Generalisation to Faber Series . . . . . 499--509
Andreas Frommer Comparison of Brown's and Newton's
method in the monotone case . . . . . . 511--521
Winfried Auzinger A quantitative discrete $H^2$-regularity
estimate for the Shortley--Weller scheme
in convex domains . . . . . . . . . . . 523--537
H. Blum and
R. Rannacher Extrapolation techniques for reducing
the pollution effect of reentrant
corners in the finite element method . . 539--564
Gerald Moore Defect correction from a Galerkin
viewpoint . . . . . . . . . . . . . . . 565--582
Tommy Elfving and
Lars-Erik Andersson An algorithm for computing constrained
smoothing spline functions . . . . . . . 583--595
Claus Schneider An analysis of Ralston's quadrature . . 597--603
Ludwig Kohaupt Erratum: ``Optimal $L^\infty$-error
estimates for piecewise linear finite
elements in ${\bf R}^n$ for $1\leq n\leq
3$'' [Numer. Math. 50 (1987), no. 3,
353--362 and MR 88i:65131] . . . . . . . 604--604
A. Bellen and
Z. Jackiewicz and
M. Zennaro Stability analysis of one-step methods
for neutral delay-differential equations 605--619
Jürgen Bruder and
Karl Strehmel and
Rüdiger Weiner Partitioned adaptive Runge--Kutta
methods for the solution of nonstiff and
stiff systems . . . . . . . . . . . . . 621--638
W. Dahmen and
T. N. T. Goodman and
Charles A. Micchelli Compactly supported fundamental
functions for spline interpolation . . . 639--664
G. Heinig and
P. Jankowski and
K. Rost Fast inversion algorithms of
Toeplitz-plus-Hankel matrices . . . . . 665--682
Giovanni Sacchi Landriani Spectral tau approximation of the
two-dimensional Stokes problem . . . . . 683--699
Seymour V. Parter Estimates for multigrid methods based on
red-black Gauss--Seidel smoothings . . . 701--723
A. K. Aziz and
A. B. Stephens and
Manil Suri Numerical methods for reaction-diffusion
problems with non-differentiable
kinetics . . . . . . . . . . . . . . . . 1--11
Douglas N. Arnold and
Richard S. Falk A new mixed formulation for elasticity 13--30
W. G. Szymczak and
J. M. Solomon and
A. E. Berger and
J. B. Bell Multiple discrete solutions of the
incompressible steady-state
Navier--Stokes equations . . . . . . . . 31--50
D. Vasilopoulos On the determination of higher order
terms of singular elastic stress fields
near corners . . . . . . . . . . . . . . 51--95
E. A. Socolovsky On the numerical approximation of finite
speed diffusion problems . . . . . . . . 97--105
A. K. Aziz and
R. B. Kellogg and
A. B. Stephens A two point boundary value problem with
a rapidly oscillating solution . . . . . 107--121
Leopoldo P. Franca and
Thomas J. R. Hughes and
Abimael F. D. Loula and
Isidoro Miranda A new family of stable elements for
nearly incompressible elasticity based
on a mixed Petrov--Galerkin finite
element formulation . . . . . . . . . . 123--141
Xingren Ying and
I. Norman Katz A reliable argument principle algorithm
to find the number of zeros of an
analytic function in a bounded domain 143--163
Werner C. Rheinboldt On the computation of multi-dimensional
solution manifolds of parameterized
equations . . . . . . . . . . . . . . . 165--181
Slimane Adjerid and
Joseph E. Flaherty Second-order finite element
approximations and a posteriori error
estimation for two-dimensional parabolic
systems . . . . . . . . . . . . . . . . 183--198
Ben Qi Guo The $h$-$p$ version of the finite
element method for elliptic equations of
order $2m$ . . . . . . . . . . . . . . . 199--224
Franco Brezzi and
Jim Douglas, Jr. Stabilized mixed methods for the Stokes
problem . . . . . . . . . . . . . . . . 225--235
Juhani Pitkäranta Analysis of some low-order finite
element schemes for Mindlin--Reissner
and Kirchhoff plates . . . . . . . . . . 237--254
Gang Lou and
Shih-Ping Han A parallel projection method for solving
generalized linear least-squares
problems . . . . . . . . . . . . . . . . 255--264
Michael Eiermann and
Ivo Marek and
Wilhelm Niethammer On the solution of singular linear
systems of algebraic equations by
semi-iterative methods . . . . . . . . . 265--283
Lisa Jacobsen and
Haakon Waadeland Convergence acceleration of limit
periodic continued fractions under
asymptotic side conditions . . . . . . . 285--298
K. Ruotsalainen and
W. Wendland On the boundary element method for some
nonlinear boundary value problems . . . 299--314
Chérif Amrouche and
Vivette Girault Une méthode d'approximation mixte des
équations des fluides non newtoniens de
troisi\`eme grade. (French) [Mixed
approximations of the equations of
non-Newtonian fluids of grade three] . . 315--349
San Zheng Qiao Hybrid algorithm for fast Toeplitz
orthogonalization . . . . . . . . . . . 351--366
M. C. López de Silanes and
D. Apprato Estimations de l'erreur d'approximation
sur un domaine borné de ${\bf R}^n$ par
${D}^m$-splines d'interpolation et
d'ajustement discr\`etes. (French)
[Approximation error estimates on a
bounded domain in ${\bf R}^n$ for
interpolating and smoothing discrete
${D}^m$-splines ] . . . . . . . . . . . 367--376
J. C. Dunn A projected Newton method for
minimization problems with nonlinear
inequality constraints . . . . . . . . . 377--409
Manfred Reimer Optimal interval refinement near
singularities . . . . . . . . . . . . . 411--422
Marino Zennaro Natural Runge--Kutta and projection
methods . . . . . . . . . . . . . . . . 423--438
R. Vermiglio Natural continuous extensions of
Runge--Kutta methods for Volterra
integrodifferential equations . . . . . 439--458
Endre Süli Convergence and nonlinear stability of
the Lagrange--Galerkin method for the
Navier--Stokes equations . . . . . . . . 459--483
D. J. Evans and
C. Li Extrapolated Gauss--Seidel 1 and SOR
methods for least-squares problems . . . 485--498
J. Saranen The convergence of even degree spline
collocation solution for potential
problems in smooth domains of the plane 499--512
Rolf Stenberg A family of mixed finite elements for
the elasticity problem . . . . . . . . . 513--538
W. L. Wendland and
De-hao Yu Adaptive boundary element methods for
strongly elliptic integral equations . . 539--558
Timo Eirola and
Olavi Nevanlinna What do multistep methods approximate? 559--569
Gene H. Golub and
Michael L. Overton The Convergence of Inexact Chebyshev and
Richardson Iterative Methods for Solving
Linear Systems . . . . . . . . . . . . . 571--593
A. De Matteis and
S. Pagnutti Parallelization of random number
generators and long-range correlations 595--608
Erich Novak Stochastic properties of quadrature
formulas . . . . . . . . . . . . . . . . 609--620
U. Kirchgraber An ODE-solver based on the method of
averaging . . . . . . . . . . . . . . . 621--652
W. Burmeister and
Jochen W. Schmidt On the $R$-order of coupled sequences
arising in single-step type methods . . 653--661
Arnold Reusken Convergence of the multilevel full
approximation scheme including the
${V}$-cycle . . . . . . . . . . . . . . 663--686
B. D. Reddy Convergence of mixed finite element
approximations for the shallow arch
problem . . . . . . . . . . . . . . . . 687--699
Jean-Pierre Hennart and
Jérôme Jaffre and
Jean Elizabeth Roberts A constructive method for deriving
finite elements of nodal type . . . . . 701--738
G. Monegato and
V. Colombo Erratum: ``Product integration for the
linear transport equation in slab
geometry'' [Numer. Math. \bf 52 (1988),
no. 2, 219--240 and MR 88k:65133] . . . 739--739
John Todd The many limits of mixed means. II. The
Carlson sequences . . . . . . . . . . . 1--18
Åke Björck A direct method for sparse least squares
problems with lower and upper bounds . . 19--32
D. S. Lubinsky Power series equivalent to rational
functions: a shifting-origin Kronecker
type theorem, and normality of Padé
tables . . . . . . . . . . . . . . . . . 33--39
Ian H. Sloan A quadrature-based approach to improving
the collocation method . . . . . . . . . 41--56
R. H. Chan Iterative methods for overflow queuing
models. II . . . . . . . . . . . . . . . 57--78
Michael Hanke On a least-squares collocation method
for linear differential-algebraic
equations . . . . . . . . . . . . . . . 79--90
Eberhard Schock Pointwise rational approximation and
iterative methods for ill-posed problems 91--103
Andreas Frommer A unified approach to methods for the
simultaneous computation of all zeros of
generalized polynomials . . . . . . . . 105--116
Ned Anderson Minimum relative error approximations
for $ 1 / t $ . . . . . . . . . . . . . 117--124
Klaus Menke Point systems with extremal properties
and conformal mapping . . . . . . . . . 125--143
G. Schmidt and
H. Strese The convergence of a direct BEM for the
plane mixed boundary value problem of
the Laplacian . . . . . . . . . . . . . 145--165
D. Bshouty and
N. Hengartner and
W. Hengartner A constructive method for starlike
harmonic mappings . . . . . . . . . . . 167--178
N. S. Sapidis and
P. D. Kaklis and
T. A. Loukakis A method for computing the tension
parameters in convexity-preserving
spline-in-tension interpolation . . . . 179--192
G. Giunta and
G. Laccetti and
M. R. Rizzardi More on the Weeks method for the
numerical inversion of the Laplace
transform . . . . . . . . . . . . . . . 193--200
Georg Still Computable bounds for eigenvalues and
eigenfunctions of elliptic differential
operators . . . . . . . . . . . . . . . 201--223
Bernd Fischer and
Lothar Reichel A stable Richardson iteration method for
complex linear systems . . . . . . . . . 225--242
Ricardo H. Nochetto Sharp $L^\infty$-error estimates for
semilinear elliptic problems with free
boundaries . . . . . . . . . . . . . . . 243--255
M. Calvo and
T. Grande On the asymptotic stability of
$\theta$-methods for delay differential
equations . . . . . . . . . . . . . . . 257--269
V. I. Oliker and
L. D. Prussner On the numerical solution of the
equation $(\partial^2z/\partial
x^2)(\partial^2z/\partial
y^2)-((\partial^2z/\partial x\partial
y))^2=f$ and its discretizations. I . . 271--293
K. Ruotsalainen and
J. Saranen On the convergence of the Galerkin
method for nonsmooth solutions of
integral equations . . . . . . . . . . . 295--302
Walter Zulehner On the solutions to polynomial systems
obtained by homotopy methods . . . . . . 303--317
Nira Dyn and
Charles A. Micchelli Piecewise polynomial spaces and
geometric continuity of curves . . . . . 319--337
Martin Costabel and
Ernst P. Stephan Duality estimates for the numerical
solution of integral equations . . . . . 339--353
U. M. Ascher and
R. M. M. Mattheij General framework, stability and error
analysis for numerical stiff boundary
value methods . . . . . . . . . . . . . 355--372
S.-S. Chow Finite element error estimates for
non-linear elliptic equations of
monotone type . . . . . . . . . . . . . 373--393
Bo\vsko S. Jovanovi\'c On the convergence of finite-difference
schemes for parabolic equations with
variable coefficients . . . . . . . . . 395--404
K. Ito and
F. Kappel Approximation of infinite delay and
Volterra type equations . . . . . . . . 405--444
G. Criscuolo and
G. Mastroianni On the uniform convergence of Gaussian
quadrature rules for Cauchy principal
value integrals . . . . . . . . . . . . 445--461
W. Hackbusch and
Z. P. Nowak On the fast matrix multiplication in the
boundary element method by panel
clustering . . . . . . . . . . . . . . . 463--491
David S. Gilliam and
John R. Lund and
Clyde F. Martin A discrete sampling inversion scheme for
the heat equation . . . . . . . . . . . 493--506
Michael Krätzschmar A decomposition-dualization approach for
solving constrained convex minimization
problems with applications to
discretized obstacle problems . . . . . 507--531
Manfred Dobrowolski A discrete solenoidal finite difference
scheme for the numerical approximation
of incompressible flows . . . . . . . . 533--542
G. Wittum Multi-grid methods for Stokes and
Navier--Stokes equations. Transforming
smoothers: algorithms and numerical
results . . . . . . . . . . . . . . . . 543--563
Claude Brezinski Contraction properties of sequence
transformations . . . . . . . . . . . . 565--574
C. M. Elliott and
D. A. French and
F. A. Milner A second order splitting method for the
Cahn--Hilliard equation . . . . . . . . 575--590
T. J. Dekker and
W. Hoffmann Rehabilitation of the Gauss--Jordan
Algorithm . . . . . . . . . . . . . . . 591--599
Ricardo H. Nochetto Pointwise accuracy of a finite element
method for nonlinear variational
inequalities . . . . . . . . . . . . . . 601--618
Wilhelm Heinrichs Konvergenzaussagen für
Kollokationsverfahren bei elliptischen
Randwertaufgaben. (German) [Convergence
of the collocation method for elliptic
boundary value problems] . . . . . . . . 619--637
Peter \vZit\vnan An a posteriori error estimation of the
Rayleigh--Ritz eigenvalues . . . . . . . 639--654
J. C. Guillot and
P. Joly Approximation by finite differences of
the propagation of acoustic waves in
stratified media . . . . . . . . . . . . 655--702
Jean-Paul Berrut Barycentric formulae for cardinal
(SINC-) interpolants . . . . . . . . . . 703--718
Harry Yserentant Preconditioning indefinite
discretization matrices . . . . . . . . 719--734
Néstor E. Aguilera Numerical analysis of cavitational
flow-theory . . . . . . . . . . . . . . 1--32
Enrique Fernández Cara and
Mercedes Marín Beltrán The convergence of two numerical schemes
for the Navier--Stokes equations . . . . 33--60
Lori Badea A generalization of the Schwarz
alternating method to an arbitrary
number of subdomains . . . . . . . . . . 61--81
Angelika Bunse-Gerstner and
Ralph Byers and
Volker Mehrmann A quaternion $QR$ algorithm . . . . . . 83--95
I. Babu\vska and
Manil Suri The treatment of nonhomogeneous
Dirichlet boundary conditions by the
$p$-version of the finite element method 97--121
Christoph Börgers The Neumann--Dirichlet domain
decomposition method with inexact
solvers on the subdomains . . . . . . . 123--136
Yosihiko Ogata A Monte Carlo method for
high-dimensional integration . . . . . . 137--157
C. T. Kelley and
E. W. Sachs A pointwise quasi-Newton method for
unconstrained optimal control problems 159--176
Dominique Blanchard and
Patrick Le Tallec and
Michel Ravachol Numerical analysis of evolution problems
in nonlinear small strains
elastoviscoplasticity . . . . . . . . . 177--195
C. Lubich Linearly implicit extrapolation methods
for differential-algebraic systems . . . 197--211
H. W. J. Lenferink Contractivity preserving explicit linear
multistep methods . . . . . . . . . . . 213--223
W. Hackbusch and
A. Reusken Analysis of a damped nonlinear
multilevel method . . . . . . . . . . . 225--246
D. S. Lubinsky On uniform convergence of rational,
Newton--Padé interpolants of type $(n,n)$
with free poles as $n\to\infty$ . . . . 247--264
T. Y. Li and
N. H. Rhee Homotopy algorithm for symmetric
eigenvalue problems . . . . . . . . . . 265--280
Christopher Baltus and
William B. Jones Truncation error bounds for modified
continued fractions with applications to
special functions . . . . . . . . . . . 281--307
R. Verfürth A posteriori error estimators for the
Stokes equations . . . . . . . . . . . . 309--325
Q. Zheng Über die Existenz von unendlich vielen
periodischen Lösungen einer einfachen
Temperaturregelung. (German) [On the
existence of an infinite number of
periodic solutions for a simple
temperature control] . . . . . . . . . . 327--341
Alexander \vZení\vsek Finite element variational crimes in
parabolic-elliptic problems. I.
Nonlinear schemes . . . . . . . . . . . 343--376
Jorge J. Moré and
Gerardo Toraldo Algorithms for bound constrained
quadratic programming problems . . . . . 377--400
Junping Wang Asymptotic expansions and
$L^\infty$-error estimates for mixed
finite element methods for second order
elliptic problems . . . . . . . . . . . 401--430
Sabine Van Huffel and
Joos Vandewalle Algebraic connections between the least
squares and total least squares problems 431--449
Reinhard Fößmeier On Richardson extrapolation for finite
difference methods on regular grids . . 451--462
P. Charrier and
J. Roman Algorithmique et calculs de complexité
pour un solveur de type dissections emboî
tées. (French) [Algorithmic study and
complexity bounds for a nested
dissection solver] . . . . . . . . . . . 463--476
Guido Walz A contour integral representation of
linear extrapolation methods . . . . . . 477--480
Siegfried Graf and
Erich Novak and
Anargyros Papageorgiou Bisection is not optimal on the average 481--491
Manabu Sakai and
Riaz A. Usmani A class of simple exponential
${B}$-splines and their application to
numerical solution to singular
perturbation problems . . . . . . . . . 493--500
Alex Pothen Sparse null basis computations in
structural optimization . . . . . . . . 501--519
Martin Stynes and
Eugene O'Riordan Uniformly convergent difference schemes
for singularly perturbed parabolic
diffusion-convection problems without
turning points . . . . . . . . . . . . . 521--544
P. Rentrop and
M. Roche and
G. Steinebach The application of Rosenbrock-Wanner
type methods with stepsize control in
differential-algebraic equations . . . . 545--563
Luis M. Floría and
Robert B. Griffiths Numerical procedure for solving a
minimization eigenvalue problem . . . . 565--574
L. D. Marini and
A. Quarteroni A relaxation procedure for domain
decomposition methods using finite
elements . . . . . . . . . . . . . . . . 575--598
P. Degond and
B. Niclot Numerical analysis of the weighted
particle method applied to the
semiconductor Boltzmann equation . . . . 599--618
Joseph W. Jerome Newton's method for gradient equations
based upon the fixed point map:
convergence and complexity study . . . . 619--632
Mary E. Morley A family of mixed finite elements for
linear elasticity . . . . . . . . . . . 633--666
Mario Arioli and
Iain S. Duff and
Peter P. M. de Rijk On the Augmented System Approach to
Sparse Least-Squares Problems . . . . . 667--684
Marcin Studniarski An algorithm for calculating one
subgradient of a convex function of two
variables . . . . . . . . . . . . . . . 685--693
K.-H. Hoffmann and
G. H. Meyer A least squares method for finding the
Preisach hysteresis operator from
measurements . . . . . . . . . . . . . . 695--710
L. Jacobsen and
W. J. Thron and
H. Waadeland Some observations on the distribution of
values of continued fractions . . . . . 711--733
Ronald Cools and
Ann Haegemans On the construction of multi-dimensional
embedded cubature formulae . . . . . . . 735--745
Jean-Paul Berrut Erratum: ``Barycentric formulae for
cardinal (SINC-)interpolants'' . . . . . 747--747
Didier A. Girard A fast ``Monte Carlo cross-validation''
procedure for large least squares
problems with noisy data . . . . . . . . 1--23
Wilhelm Heinrichs Spectral methods with sparse matrices 25--41
Patrick Le Tallec and
Michel Ravachol Finite element approximation of
viscoelastic progressively
incompressible flows . . . . . . . . . . 43--66
S. G. Gal A construction of monotonically
convergent sequences from successive
approximations in certain Banach spaces 67--71
K. Vince Fernando Linear convergence of the row cyclic
Jacobi and Kogbetliantz methods . . . . 73--91
Pablo V. Negrón-Marrero and
Carlos Carbonera The numerical computation of compressed
states of nonlinearly elastic
anisotropic plates . . . . . . . . . . . 93--107
Xiezhang Li and
Richard S. Varga A note on the SSOR and USSOR iterative
methods applied to $p$-cyclic matrices 109--121
Garry Rodrigue and
LiShan Kang and
Yu-Hui Liu Convergence and comparison analysis of
some numerical Schwarz methods . . . . . 123--138
Michael Eiermann On semiiterative methods generated by
Faber polynomials . . . . . . . . . . . 139--156
O. Axelsson and
P. S. Vassilevski Algebraic multilevel preconditioning
methods. I . . . . . . . . . . . . . . . 157--177
Martin H. Gutknecht Stationary and almost stationary
iterative $(k,l)$-step methods for
linear and nonlinear systems of
equations . . . . . . . . . . . . . . . 179--213
Lothar Reichel The ordering of tridiagonal matrices in
the cyclic reduction method for
Poisson's equation . . . . . . . . . . . 215--227
Wolfgang Hackbusch The frequency decomposition multi-grid
method. I. Application to anisotropic
equations . . . . . . . . . . . . . . . 229--245
Wilhelm Niethammer The SOR method on parallel computers . . 247--254
Andreas Frommer and
Günter Mayer Parallel interval multisplittings . . . 255--267
Andreas Frommer Parallel nonlinear multisplitting
methods . . . . . . . . . . . . . . . . 269--282
Ludwig Elsner Comparisons of weak regular splittings
and multisplitting methods . . . . . . . 283--289
Rudolf Wegmann Conformal mapping by the method of
alternating projections . . . . . . . . 291--307
Feng Gao A probabilistic theory for error
estimation in automatic integration . . 309--329
Georgi R. Grozev Comparison theorems for $L$-monosplines
of minimal norm . . . . . . . . . . . . 331--343
Manfred Reimer Cardinal Hermite-spline-interpolation on
the equidistant lattice . . . . . . . . 345--357
B. Büttgenbach and
R. J. Nessel and
E. van Wickeren Sharp estimates in terms of moduli of
smoothness for compound cubature rules 359--369
Alfred K. Louis and
Andreas Rieder Incomplete data problems in X-ray
computerized tomography. II.\ Truncated
projections and region-of-interest
tomography . . . . . . . . . . . . . . . 371--383
Jukka Saranen Extrapolation methods for spline
collocation solutions of
pseudodifferential equations on curves 385--407
J.-P. Kauthen Continuous time collocation methods for
Volterra--Fredholm integral equations 409--424
Harald Berger A convergent finite element formulation
for transonic flow . . . . . . . . . . . 425--447
M. C. López de Silanes and
R. Arcangéli Estimations de l'erreur d'approximation
par splines d'interpolation et
d'ajustement d'ordre $(m,s)$. (French)
[Approximation error estimates for
interpolating and smoothing
$(m,s)$-splines] . . . . . . . . . . . . 449--467
W. Auzinger and
R. Frank Asymptotic error expansions for stiff
equations: an analysis for the implicit
midpoint and trapezoidal rules in the
strongly stiff case . . . . . . . . . . 469--499
Paul Levrie Improving a method for computing
nondominant solutions of certain
second-order recurrence relations of
Poincaré-type . . . . . . . . . . . . . . 501--512
Gabriele Steidl and
Manfred Tasche Index transforms for multidimensional
DFTs and convolutions . . . . . . . . . 513--528
Anne Greenbaum and
Congming Li and
Han Zheng Chao Comparison of linear system solvers
applied to diffusion-type finite element
equations . . . . . . . . . . . . . . . 529--546
Martin H. Gutknecht Continued fractions associated with the
Newton--Padé table . . . . . . . . . . . 547--589
O. Knoth A globalization scheme for the
generalized Gauss--Newton method . . . . 591--607
Jürgen Eichenauer-Herrmann and
Holger Grothe A remark on long-range correlations in
multiplicative congruential pseudo
random number generators . . . . . . . . 609--611
Shangyou Zhang An optimal order multigrid method for
biharmonic, $C^1$ finite element
equations . . . . . . . . . . . . . . . 613--624
A. Deif A relative backward perturbation theorem
for the eigenvalue problem . . . . . . . 625--626
K. Veseli\'c and
V. Hari A Note on a One-Sided Jacobi Algorithm 627--633
Daniel J. Pierce and
Apostolos Hadjidimos and
Robert J. Plemmons Optimality relationships for $p$-cyclic
SOR . . . . . . . . . . . . . . . . . . 635--643
Randolph E. Bank and
Bruno D. Welfert and
Harry Yserentant A class of iterative methods for solving
saddle point problems . . . . . . . . . 645--666
P. E. Kloeden and
J. Lorenz A note on multistep methods and
attracting sets of dynamical systems . . 667--673
Dragoslav Herceg Uniform fourth order difference scheme
for a singular perturbation problem . . 675--693
Willem H. Hundsdorfer and
Josef Schneid An algebraic characterization of
${B}$-convergent Runge--Kutta methods 695--705
Koichi Niijima Pointwise error estimates for a
streamline diffusion finite element
scheme . . . . . . . . . . . . . . . . . 707--719
Diem Ho Tchebychev acceleration technique for
large scale nonsymmetric matrices . . . 721--734
Uday Banerjee and
John E. Osborn Estimation of the Effect of Numerical
Integration in Finite Element Eigenvalue
Approximation . . . . . . . . . . . . . 735--762
Santo Motta and
Giovanni Russo and
Hardy Moock and
Joachim Wick Point Approximation of a
Space-Homogeneous Transport Equation . . 763--774
G. Monegato and
P. Lepora On the Numerical Resolution of the
Generalized Airfoil Equation with
Possion Kernel . . . . . . . . . . . . . 775--787
Kelly M. McArthur and
Kenneth L. Bowers and
John Lund The Sinc method in multiple space
dimensions: model problems . . . . . . . 789--816
Borislav Bojanov and
Daren Huang Comparison of Optimal Quadrature
Formulas . . . . . . . . . . . . . . . . 817--825
Rolf Stenberg Some New Families of Finite Elements for
the Stokes Equations . . . . . . . . . . 827--838
Zbigniew Leyk Galerkin Method and Optimal Error
Algorithms in Hilbert Spaces . . . . . . 1--14
Gabriel Wittum On the convergence of multi-grid methods
with transforming smoothers --- theory
with applications to the Navier--Stokes
equations . . . . . . . . . . . . . . . 15--38
M. Calvo and
T. Grande and
Rolf Dieter Grigorieff On the Zero Stability of the Variable
Order Variable Stepsize BDF-Formulas . . 39--50
Jürg T. Marti Small potential corrections for the
discrete Eigenvalues of the
Sturm--Liouville problem . . . . . . . . 51--62
R. Plato and
G. Vainikko On the regularization of projection
methods for solving ill-posed problems 63--79
Martin Smoch Anmerkungen zu einem Mehrgitterverfahren
für lineare Komplementaritätsprobleme.
(German) [Remarks on a multigrid method
for linear complementarity problems] . . 80--83
Martin Hanke and
Michael Neumann Preconditionings and Splittings for
Rectangular Systems . . . . . . . . . . 85--95
Catterina Dagnino Product Integration of Singular
Integrands Based on Cubic Spline
Interpolation at Equally Spaced Nodes 97--104
Charles K. Chui and
Harvey Diamond A Characterization of Multivariate
Quasi-interpolation Formulas and its
Applications . . . . . . . . . . . . . . 105--121
Qazi I. Rahman and
Gerhard Schmeisser Characterization of the Speed of
Convergence of the Trapezoidal Rule . . 123--138
A. G. Ramm and
A. van der Sluis Calculating singular integrals as an
ill-posed problem . . . . . . . . . . . 139--145
Olavi Nevanlinna Linear acceleration of Picard--Lindelöf
iteration . . . . . . . . . . . . . . . 147--156
J. G. Verwer and
W. H. Hundsdorfer and
B. P. Sommeijer Convergence Properties of the
Runge--Kutta--Chebyshev Method . . . . . 157--178
G. Choudury Fully Discrete Galerkin Approximations
of Parabolic Boundary-Value Problems
with Nonsmooth Boundary Data . . . . . . 179--203
M. Marion and
R. Temam Nonlinear Galerkin Methods: The Finite
Elements Case . . . . . . . . . . . . . 205--226
Ziping Huang A Multi-Grid Algorithm for Mixed
Problems with Penalty . . . . . . . . . 227--247
K. Dekker and
J. F. B. M. Kraaijevanger and
J. Schneid On the relation between algebraic
stability and $B$-convergence for
Runge--Kutta methods . . . . . . . . . . 249--262
Bernard Bialecki A Sinc Quadrature Rule for Hadamard
Finite-part Integrals . . . . . . . . . 263--269
Sotirios E. Notaris The error norm of Gaussian quadrature
formulae for weight functions of
Bernstein--Szeg\Ho type . . . . . . . . 271--283
Roland Freund On Conjugate Gradient Type Methods and
Polynominal Preconditioners for a Class
of Complex Non-Hermitian Matrices . . . 285--312
Lakshman S. Thakur A Direct Algorithm for Optimal Quadratic
Splines . . . . . . . . . . . . . . . . 313--332
Jochen W. Schmidt and
Isa Scholz A dual algorithm for convex-concave data
smoothing by cubic ${C}^2$-splines . . . 333--350
Robert M. Shanahan and
John W. Barrett Total Flux Estimates for a Finite
Element Approximation of the Dirichlet
Problem Using the Boundary Penalty
Method . . . . . . . . . . . . . . . . . 351--363
Avram Sidi On a Generalization of the Richardson
Extrapolation Process . . . . . . . . . 365--377
T. von Petersdorff and
E. P. Stephan On the Convergence of the Multigrid
Method for a Hypersingular Integral
Equation of the First Kind . . . . . . . 379--391
Rainer Garus and
Tassilo Küpper Computation of the smallest positive
eigenvalue of a quadratic
$\lambda$-matrix . . . . . . . . . . . . 393--403
Yiannis G. Saridakis Domains of divergence of the USSOR
method applied on $p$-cyclic matrices 405--412
Likang Li Discretization of the Timoshenko beam
problem by the $p$ and the $h$-$p$
versions of the finite element method 413--420
K. Sikorski and
G. M. Trojan Asymptotic Near Optimality of the
Bisection Method . . . . . . . . . . . . 421--433
Christoph Börgers Domain Imbedding Methods for the Stokes
Equations . . . . . . . . . . . . . . . 435--451
C. Vuik An $L^2$-error estimate for an
approximation of the solution of a
parabolic variational inequality . . . . 453--471
Tibor Fiala On the Monotonity of Incomplete
Factorization . . . . . . . . . . . . . 473--479
P. Trouvé Sur la convergence des méthodes d'éléments
finis nonconformes pour des probl\`emes
linéaires de coques minces. (French) [On
the convergence of nonconformal
finite-element methods for linear
thin-shell problems] . . . . . . . . . . 481--524
Garrett Birkhoff and
Robert E. Lynch Some Current Questions on Solving Linear
Elliptic Problems . . . . . . . . . . . 527--545
P. G. Ciarlet A New Class of Variational Problems
Arising in the Modeling of Elastic
Multi-Structures . . . . . . . . . . . . 547--560
Thomas Kerkhoven and
Joseph W. Jerome $L_\infty$ stability of finite element
approximations to elliptic gradient
equations . . . . . . . . . . . . . . . 561--575
Antonio Córdova and
Walter Gautschi and
Stephan Ruscheweyh Vandermonde matrices on the circle:
spectral properties and conditioning . . 577--591
Michael Eiermann and
Wilhelm Niethammer and
Arden Ruttan Optimal successive overrelaxation
iterative methods for $P$-cyclic
matrices . . . . . . . . . . . . . . . . 593--606
Gene H. Golub and
Martin H. Gutknecht Modified Moments for Indefinite Weight
Functions . . . . . . . . . . . . . . . 607--624
Douglas James and
Robert J. Plemmons An Iterative Substructuring Algorithm
for Equilibrium Equations . . . . . . . 625--633
M. R. Akhlaghi and
A. Jakimovski and
A. Sharma Equiconvergence of some complex
interpolatory polynomials . . . . . . . 635--649
Peter Alfeld and
Larry L. Schumaker On the dimension of bivariate spline
spaces of smoothness $r$ and degree
$d=3r+1$ . . . . . . . . . . . . . . . . 651--661
H. Berens and
M. Finzel A Continuous Selection of the Metric
Projection in Matrix Spaces, Addendum 663--667
G. G. Lorentz and
R. A. Lorentz Bivariate Hermite Interpolation and
Applications to Algebraic Geometry . . . 669--680
Patrick J. Rabier and
Werner C. Rheinboldt On a Computational Method for the Second
Fundamental Tensor and its Application
to Bifurcation Problems . . . . . . . . 681--694
W. B. Gragg and
L. Reichel A Divide and Conquer Method for Unitary
and Orthogonal Eigenproblems . . . . . . 695--718
Lothar Reichel Fast Solution Methods for Fredholm
Integral Equations of the Second Kind 719--736
John Todd The Weierstrass mean. I. The periods of
$\wp (z\vert e_1,e_2,e_3)$ . . . . . . . 737--746
D. Braess and
C. Blömer A Multigrid Method for a Parameter
Dependent Problem in Solid Mechanics . . 747--761
Klaus-Jürgen Förster and
Knut Petras On a problem proposed by H. Braß
concerning the remainder term in
quadrature for convex functions . . . . 763--777
Ivar Lie The Stability Function for Multistep
Collocation Methods . . . . . . . . . . 779--787
W. A. Light The Chebyshev Solution of Certain Matrix
Equations . . . . . . . . . . . . . . . 789--803
G. H. Cottet and
S. Mas-Gallic A Particle Method to Solve the
Navier--Stokes System . . . . . . . . . 805--827
Nira Dyn and
Charles A. Micchelli Interpolation by sums of radial
functions . . . . . . . . . . . . . . . 1--9
Frédéric Bourquin Analysis and comparison of several
component mode synthesis methods on
one-dimensional domains . . . . . . . . 11--33
Jacques Baranger and
Khalid Najib Analyse numérique des écoulements
quasi-newtoniens dont la viscosité obéit
\`a la loi puissance ou la loi de
carreau. (French) [Numerical analysis of
quasi-Newtonian flow obeying the power
law or the Carreau law] . . . . . . . . 35--49
Alexander \vZení\vsek The finite element method for nonlinear
elliptic equations with discontinuous
coefficients . . . . . . . . . . . . . . 51--77
Jan Mandel On block diagonal and Schur complement
preconditioning . . . . . . . . . . . . 79--93
A. K. Aziz and
R. Lemmert and
M. Schneider A finite element method for the
nonlinear Tricomi problem . . . . . . . 95--108
G. Heinig and
P. Jankowski Parallel and superfast algorithms for
Hankel systems of equations . . . . . . 109--127
Bertolt Eicke and
Alfred K. Louis and
Robert Plato The instability of some gradient methods
for ill-posed problems . . . . . . . . . 129--134
Pablo V. Negrón Marrero A numerical method for detecting
singular minimizers of multidimensional
problems in nonlinear elasticity . . . . 135--144
Rainer Kress A Nyström method for boundary integral
equations in domains with corners . . . 145--161
Harry Yserentant Two preconditioners based on the
multi-level splitting of finite element
spaces . . . . . . . . . . . . . . . . . 163--184
Randolph E. Bank and
Josef F. Bürgler and
Wolfgang Fichtner and
R. Kent Smith Some upwinding techniques for finite
element approximations of
convection-diffusion equations . . . . . 185--202
W. Dörfler The conditioning of the stiffness matrix
for certain elements approximating the
incompressibility condition in fluid
dynamics . . . . . . . . . . . . . . . . 203--214
T. Ortega and
J. M. Sanz-Serna Nonlinear stability and convergence of
finite-difference methods for the
``good'' Boussinesq equation . . . . . . 215--229
K. Dekker and
J. F. B. M. Kraaijevanger and
J. Schneid Erratum: ``On the relation between
algebraic stability and $B$-convergence
for Runge--Kutta methods'' . . . . . . . 230--230
A. Pitonyak and
P. Shi and
M. Shillor On an iterative method for variational
inequalities . . . . . . . . . . . . . . 231--242
E. Hairer and
A. Iserles and
J. M. Sanz-Serna Equilibria of Runge--Kutta methods . . . 243--254
W. Kratz and
A. Peyerimhoff A numerical algorithm for the Stokes
problem based on an integral equation
for the pressure via conformal mappings 255--272
Franz Peherstorfer Gauss-Tchebycheff quadrature formulas 273--286
Ricardo Durán Superconvergence for rectangular mixed
finite elements . . . . . . . . . . . . 287--298
David Stewart A high accuracy method for solving ODEs
with discontinuous right-hand side . . . 299--328
Ana C. Matos Acceleration methods based on
convergence tests . . . . . . . . . . . 329--340
Steve Batterson Convergence of the shifted $QR$
algorithm on $3 \times 3$ normal
matrices . . . . . . . . . . . . . . . . 341--352
W. Govaerts Bordered augmented linear systems in
numerical continuation and bifurcation 353--368
K. H. Schild Gaussian collocation via defect
correction . . . . . . . . . . . . . . . 369--386
Ivo Marek and
Daniel B. Szyld Comparison theorems for weak splittings
of bounded operators . . . . . . . . . . 387--397
Daniele Funaro and
Wilhelm Heinrichs Some results about the pseudospectral
approximation of one-dimensional
fourth-order problems . . . . . . . . . 399--418
E. Hairer and
A. Ostermann Dense output for extrapolation methods 419--439
G. Sacchi Landriani and
H. Vandeven A multidomain spectral collocation
method for the Stokes problem . . . . . 441--464
P. P. B. Eggermont and
J. Saranen $L^p$ estimates of boundary integral
equations for some nonlinear boundary
value problems . . . . . . . . . . . . . 465--478
Olavi Nevanlinna Power bounded prolongations and
Picard--Lindelöf iteration . . . . . . . 479--501
Jean Thomann Resommation des series formelles.
Solutions d'équations différentielles
linéaires ordinaires du second ordre dans
le champ complexe au voisinage de
singularités irréguli\`eres. (French)
[Resummation of formal power series.
Solutions of second-order linear complex
ordinary differential equations near
irregular singularities] . . . . . . . . 503--535
G. A. Chandler and
I. H. Sloan Spline qualocation methods for boundary
integral equations . . . . . . . . . . . 537--567
Charles K. Chui and
Harvey Diamond A General framework for local
interpolation . . . . . . . . . . . . . 569--581
Jesse L. Barlow Error Analysis of a Pairwise Summation
Algorithm to Compute the Sample Variance 583--590
Sherman Riemenschneider and
Karl Scherer Cardinal Hermite interpolation with box
splines. II . . . . . . . . . . . . . . 591--602
G. Dziuk An algorithm for evolutionary surfaces 603--611
D. R. Sweet Fast block Toeplitz orthogonalization 613--629
Lin Qun Fourth order eigenvalue approximation by
extrapolation on domains with reentrant
corners . . . . . . . . . . . . . . . . 631--640
J. W. Helton and
P. G. Spain and
N. J. Young Tracking poles and representing Hankel
operators directly from data . . . . . . 641--660
H. J. J. te Riele A new lower bound for the de
Bruijn-Newman constant . . . . . . . . . 661--667
Alexander P. Morgan and
Andrew J. Sommese and
Charles W. Wampler Computing singular solutions to
non-linear analytic systems . . . . . . 669--684
Paul J. Lanzkron and
Donald J. Rose and
Daniel B. Szyld Convergence of nested classical
iterative methods for linear systems . . 685--702
G. W. Stewart and
G. Zhang Eigenvalues of Graded Matrices and the
Condition Numbers of a Multiple
Eigenvalue . . . . . . . . . . . . . . . 703--712
Zhiqiang Cai On the finite volume element method . . 713--735
S. Saha and
Purna C. Das and
N. N. Kishore A shape-optimization technique for the
capillary surface problem . . . . . . . 737--757
Marek Niezgódka and
Jürgen Sprekels Convergent numerical approximations of
the thermomechanical phase transitions
in shape memory alloys . . . . . . . . . 759--778
Gautam M. Shroff A parallel algorithm for the eigenvalues
and eigenvectors of a general complex
matrix . . . . . . . . . . . . . . . . . 779--805
Annuntiato Begumisa and
Ian Robinson Suboptimal Kronrod extension formulae
for numerical quadrature . . . . . . . . 807--818
Arnold Reusken Steplength optimization and linear
multigrid methods . . . . . . . . . . . 819--838
C. Lubich On the convergence of multistep methods
for nonlinear stiff differential
equations . . . . . . . . . . . . . . . 839--853
R. Schneider Stability of a spline collocation method
for strongly elliptic multidimensional
singular integral equations . . . . . . 855--873
Andreas Rieder The wavelet transform on Sobolev spaces
and its approximation properties . . . . 875--894
G. W. Stewart and
G. Zhang On a Direct Method for the Solution of
Nearly Uncoupled Markov Chains . . . . . 1--11
Lutz Tobiska and
Gert Lube A modified streamline diffusion method
for solving the stationary
Navier--Stokes equation . . . . . . . . 13--29
Georgios D. Akrivis and
Vassilios A. Dougalis and
Ohannes A. Karakashian On fully discrete Galerkin methods of
second-order temporal accuracy for the
nonlinear Schrödinger equation . . . . . 31--53
C. Führer and
B. J. Leimkuhler Numerical solution of
differential-algebraic equations for
constrained mechanical motion . . . . . 55--69
Genevi\`eve Amiez and
Pierre-Alain Gremaud On a numerical approach to Stefan-like
problems . . . . . . . . . . . . . . . . 71--89
L. Elsner and
I. Koltracht and
P. Lancaster Convergence properties of ART and SOR
algorithms . . . . . . . . . . . . . . . 91--106
Ricardo Durán and
María Amelia Muschietti and
Rodolfo Rodríguez On the asymptotic exactness of error
estimators for linear triangular finite
elements . . . . . . . . . . . . . . . . 107--127
J. F. B. M. Kraaijevanger and
J. Schneid On the unique solvability of the
Runge--Kutta equations . . . . . . . . . 129--157
Igor Moret and
Pierpaolo Omari A quasi-Newton method for solving fixed
point problems in Hilbert spaces . . . . 159--177
Fernando Reitich Singular solutions of a transmission
problem in plane linear elasticity for
wedge-shaped regions . . . . . . . . . . 179--216
John W. Barrett and
Robert M. Shanahan Finite element approximation of a model
reaction-diffusion problem with a
non-Lipschitz nonlinearity . . . . . . . 217--242
G. Vanden Berghe and
H. De Meyer Accurate computation of higher
Sturm--Liouville eigenvalues . . . . . . 243--254
Min Chen and
Roger Temam Incremental unknowns for solving partial
differential equations . . . . . . . . . 255--271
Miguel A. Hernández Verón A note on Halley's method . . . . . . . 273--276
A. K. Louis and
P. Maaß Smoothed projection methods for the
moment problem . . . . . . . . . . . . . 277--294
Yves Nievergelt Aitken's and Steffensen's accelerations
in several variables . . . . . . . . . . 295--310
Lucio Torelli A sufficient condition for GPN-stability
for delay differential equations . . . . 311--320
E. F. D'Azevedo and
R. B. Simpson On optimal triangular meshes for
minimizing the gradient error . . . . . 321--348
C. Carstensen Inclusion of the roots of a polynomial
based on Gerschgorin's theorem . . . . . 349--360
D. S. Gilliam and
J. R. Lund and
C. F. Martin Inverse parabolic problems and discrete
orthogonality . . . . . . . . . . . . . 361--383
Anca Radoslovescu C\uap\ua\ct\^\in\ua and
M. Cocu Internal approximation of
quasi-variational inequalities . . . . . 385--398
Y. Tourigny and
E. Süli The finite element method with nodes
moving along the characteristics for
convection-diffusion equations . . . . . 399--412
Bernard Bialecki An alternating direction implicit method
for orthogonal spline collocation linear
systems . . . . . . . . . . . . . . . . 413--429
R. E. Ewing and
R. D. Lazarov and
P. S. Vassilevski Local refinement techniques for elliptic
problems on cell-centered grids. III.
Algebraic multilevel BEPS
preconditioners . . . . . . . . . . . . 431--452
Markus Hegland On the parallel solution of tridiagonal
systems by wrap-around partitioning and
incomplete ${LU}$ factorization . . . . 453--472
K. Kunisch and
G. Peichl Estimation of a temporally and spatially
varying diffusion coefficient in a
parabolic system by an augmented
Lagrangian technique . . . . . . . . . . 473--509
Petra Peisker A multigrid method for Reissner--Mindlin
plates . . . . . . . . . . . . . . . . . 511--528
Guido Walz Asymptotic expansions and acceleration
of convergence for higher order
iteration processes . . . . . . . . . . 529--540
Ludwig Elsner and
Volker Mehrmann Convergence of block iterative methods
for linear systems arising in the
numerical solution of Euler equations 541--559
Gene H. Golub and
Urs von Matt Quadratically Constrained Least Squares
and Quadratic Problems . . . . . . . . . 561--580
Soren Jensen On computing the pressure by the $p$
version of the finite element method for
Stokes problem . . . . . . . . . . . . . 581--601
Ji-guang Sun Eigenvalues of Rayleigh quotient
matrices . . . . . . . . . . . . . . . . 603--614
R. Verfürth Finite element approximation of
incompressible Navier--Stokes equations
with slip boundary condition. II . . . . 615--636
Leonhard Bittner A numerical sampling problem and the
Weyl pseudorandom numbers . . . . . . . 637--645
Á. Elbert An approximation for the zeros of Bessel
functions . . . . . . . . . . . . . . . 647--657
Joseph Hersch and
William Sawyer Numerical implementation of coherence
for the example of the ``Swiss cross'' 659--665
Ulrich Mertins Zur Konvergenz des
Rayleigh--Ritz-Verfahrens bei
Eigenwertaufgaben. (German) [On the
convergence of the Rayleigh--Ritz method
for eigenvalue problems] . . . . . . . . 667--682
Rita Meyer-Spasche and
Bengt Fornberg Discretization errors at free boundaries
of the Grad-Schlüter-Shafranov equation 683--710
S. Prössdorf On the super-approximation property of
Galerkin's method with finite elements 711--722
Karl Strehmel and
Rüdiger Weiner and
Mario Büttner Order results for Rosenbrock type
methods on classes of stiff equations 723--737
Michael Weba Interpolation of random functions . . . 739--746
M. Chipot Numerical analysis of oscillations in
nonconvex problems . . . . . . . . . . . 747--767
Ricardo Durán The inf-sup condition and error
estimates for the Arnold-Falk plate
bending element . . . . . . . . . . . . 769--778
L. Grippo and
F. Lampariello and
S. Lucidi A class of nonmonotone stabilization
methods in unconstrained optimization 779--805
K. J. in 't Hout and
M. N. Spijker Stability analysis of numerical methods
for delay differential equations . . . . 807--814
René Lamour A well-posed shooting method for
transferable DAE's . . . . . . . . . . . 815--829
A. Quarteroni and
G. Sacchi Landriani and
A. Valli Coupling of viscous and inviscid Stokes
equations via a domain decomposition
method for finite elements . . . . . . . 831--859
Angelika Bunse-Gerstner and
Ralph Byers and
Volker Mehrmann and
Nancy K. Nichols Numerical Computation of an Analytic
Singular Value Decomposition of a Matrix
Valued Function . . . . . . . . . . . . 1--39
Xiao-Chuan Cai Additive Schwarz Algorithms for
Parabolic Convection-Diffusion Equations 41--61
Houde Han A boundary element method for Signorini
problems in three dimensions . . . . . . 63--75
Rolf Jeltsch and
Peywand Kiani Stability of a family of
multi-time-level difference schemes for
the advection equation . . . . . . . . . 77--95
Kurt Jetter and
Joachim Stöckler Algorithms for cardinal interpolation
using box splines and radial basis
functions . . . . . . . . . . . . . . . 97--114
Peter Kunkel and
Volker Mehrmann Smooth factorizations of matrix valued
functions and their derivatives . . . . 115--131
Larry L. Schumaker and
Cornelis Traas Fitting scattered data on spherelike
surfaces using tensor products of
trigonometric and polynomial splines . . 133--144
Anders Barrlund Constrained least squares methods for
linear time varying DAE systems . . . . 145--161
Rodolfo Bermejo Analysis of an algorithm for the
Galerkin-characteristic method . . . . . 163--194
Giuliana Criscuolo and
Giuseppe Mastroianni and
Donatella Occorsio Uniform convergence of derivatives of
extended Lagrange interpolation . . . . 195--218
Barry F. Smith A Domain Decomposition Algorithm for
Elliptic Problems in Three Dimensions 219--234
R. Verfürth A posteriori error estimators for the
Stokes equations. II. Non-conforming
discretizations . . . . . . . . . . . . 235--249
Adam T. Zawilski Numerical Stability of the Cyclic
Richardson Iteration . . . . . . . . . . 251--290
John W. Barrett and
Roma Chakrabarti Finite element approximation of the
volume-matching problem . . . . . . . . 291--313
Roland W. Freund and
Noël M. Nachtigal QMR: a quasi-minimal residual method for
non-Hermitian linear systems . . . . . . 315--339
Martin Hanke Accelerated Landweber iterations for the
solution of ill-posed equations . . . . 341--373
Vjeran Hari On sharp quadratic convergence bounds
for the serial Jacobi methods . . . . . 375--406
Willi Jäger and
Jozef Ka\vcur Solution of porous medium type systems
by linear approximation schemes . . . . 407--427
Mark Ainsworth and
Alan Craig A posteriori error estimators in the
finite element method . . . . . . . . . 429--463
J. C. Butcher and
R. P. K. Chan On symmetrizers for Gauss methods . . . 465--476
Wolfgang Dahmen and
Ronald A. DeVore and
Charles A. Micchelli On monotone extensions of boundary data 477--492
Weimin Han Finite element analysis of a holonomic
elastic-plastic problem . . . . . . . . 493--508
D. Hinrichsen and
A. J. Pritchard On spectral variations under bounded
real matrix perturbations . . . . . . . 509--524
T. Kerkhoven and
Y. Saad On acceleration methods for coupled
nonlinear elliptic systems . . . . . . . 525--548
S. L. Lee and
Roger C. E. Tan and
W. S. Tang $L_2$-approximation by the translates of
a function and related attenuation
factors . . . . . . . . . . . . . . . . 549--568
Giles Auchmuty A Posteriori Error Estimates for Linear
Equations . . . . . . . . . . . . . . . 1--6
Randolph E. Bank and
Mohamed Benbourenane The hierarchical basis multigrid method
for convection-diffusion equations . . . 7--37
Alfredo Bermúdez and
Dolores G. Pedreira Mathematical analysis of a finite
element method without spurious
solutions for computation of dielectric
waveguides . . . . . . . . . . . . . . . 39--57
John H. Ewing and
Glenn Schober The area of the Mandelbrot set . . . . . 59--72
Bingsheng He and
Josef Stoer Solution of projection problems over
polytopes . . . . . . . . . . . . . . . 73--90
Monga-Made Magolu Modified block-approximate factorization
strategies . . . . . . . . . . . . . . . 91--110
T. M. Mills and
S. J. Smith The Lebesgue constant for Lagrange
interpolation on equidistant nodes . . . 111--115
Zhimin Zhang Arch beam models: finite element
analysis and superconvergence . . . . . 117--143
Uday Banerjee A note on the effect of numerical
quadrature in finite element eigenvalue
approximation . . . . . . . . . . . . . 145--152
Xiao-Chuan Cai and
William D. Gropp and
David E. Keyes Convergence rate estimate for a domain
decomposition method . . . . . . . . . . 153--169
Gabriel N. Gatica and
George C. Hsiao On the coupled BEM and FEM for a
nonlinear exterior Dirichlet problem in
${\bf R}^2$ . . . . . . . . . . . . . . 171--214
Xiaohua Hu and
R. A. Nicolaides Covolume techniques for anisotropic
media . . . . . . . . . . . . . . . . . 215--234
Ch. G. Makridakis On mixed finite element methods for
linear elastodynamics . . . . . . . . . 235--260
Sylvia Novo and
Jesús Rojo Some remarks on an ODE-solver of
Kirchgraber . . . . . . . . . . . . . . 261--264
Ji-guang Sun On condition numbers of a nondefective
multiple eigenvalue . . . . . . . . . . 265--275
C. Lubich Erratum: ``On the convergence of
multistep methods for nonlinear stiff
differential equations'' [Numer. Math.
\bf 58 (1991), no. 8, 839--853 and MR
92d:65127] . . . . . . . . . . . . . . . 277--279
T. Eirola and
J. M. Sanz-Serna Conservation of integrals and symplectic
structure in the integration of
differential equations by multistep
methods . . . . . . . . . . . . . . . . 281--290
Bosco García-Archilla A supraconvergent scheme for the
Korteweg--de Vries equation . . . . . . 291--310
J. Thomas King Multilevel algorithms for ill-posed
problems . . . . . . . . . . . . . . . . 311--334
G. Lube Streamline diffusion finite element
method for quasilinear elliptic problems 335--357
K. W. Morton and
T. Murdoch and
E. Süli Optimal error estimation for
Petrov--Galerkin methods in two
dimensions . . . . . . . . . . . . . . . 359--372
Tao Tang Superconvergence of numerical solutions
to weakly singular Volterra
integro-differential equations . . . . . 373--382
Frank Uhlig Are the Coefficients of a Polynomial
Well-Conditioned Functions of its Roots? 383--393
Pierre Verlinden and
Ronald Cools On cubature formulae of degree $4k+1$
attaining Möller's lower bound for
integrals with circular symmetry . . . . 395--407
J. A. C. Weideman The eigenvalues of Hermite and rational
spectral differentiation matrices . . . 409--432
Clemens W. Brand An incomplete-factorization
preconditioning using repeated red-black
ordering . . . . . . . . . . . . . . . . 433--454
Martin D. Buhmann and
Charles A. Micchelli Spline prewavelets for non-uniform knots 455--474
P. R. Graves-Morris Extrapolation methods for vector
sequences . . . . . . . . . . . . . . . 475--487
Lisa Lorentzen Arithmetic operations with regular
${C}$-fractions . . . . . . . . . . . . 489--499
S. Miesbach and
H. J. Pesch Symplectic phase flow approximation for
the numerical integration of canonical
systems . . . . . . . . . . . . . . . . 501--521
Juhani Pitkäranta The problem of membrane locking in
finite element analysis of cylindrical
shells . . . . . . . . . . . . . . . . . 523--542
S. Prössdorf and
I. H. Sloan Quadrature method for singular integral
equations on closed curves . . . . . . . 543--559
R. Vermiglio On the stability of Runge--Kutta methods
for delay integral equations . . . . . . 561--577
Helio J. C. Barbosa and
Thomas J. R. Hughes Boundary Lagrange multipliers in finite
element methods: error analysis in
natural norms . . . . . . . . . . . . . 1--15
Sven G. Bartels and
Desmond J. Higham The Structured Sensitivity of
Vandermonde-like Systems . . . . . . . . 17--33
P. P. B. Eggermont On the quadrature error in operational
quadrature methods for convolutions . . 35--48
Jie Shen On error estimates of some higher order
projection and penalty-projection
methods for Navier--Stokes equations . . 49--73
Agn\`es Tourin A comparison theorem for a piecewise
Lipschitz continuous Hamiltonian and
application to shape-from-shading
problems . . . . . . . . . . . . . . . . 75--85
Marc Van Barel and
Adhemar Bultheel A new formal approach to the rational
interpolation problem . . . . . . . . . 87--122
Mu Sheng Wei Algebraic relations between the total
least squares and least squares problems
with more than one solution . . . . . . 123--148
M. Fortin and
Z. Mghazli Analyse d'un élément mixte pour le
probl\`eme de Stokes. I. Résultats
généraux. (French) [Analysis of a mixed
element for the Stokes problem. I.
General results] . . . . . . . . . . . . 149--160
M. Fortin and
Z. Mghazli Analyse d'un élément mixte pour le
probl\`eme de Stokes. II. Construction
et estimations d'erreur. (French)
[Analysis of a mixed element for the
Stokes problem. II. Construction and
error estimates] . . . . . . . . . . . . 161--188
P. Oswald On a hierarchical basis multilevel
method with nonconforming ${\rm P}1$
elements . . . . . . . . . . . . . . . . 189--212
N. Papamichael and
N. S. Stylianopoulos A domain decomposition method for
approximating the conformal modules of
long quadrilaterals . . . . . . . . . . 213--234
Satish C. Reddy and
Lloyd N. Trefethen Stability of the Method of Lines . . . . 235--267
Eric F. Van de Velde and
Jens Lorenz Adaptive data distribution for
concurrent continuation . . . . . . . . 269--294
G. A. Chandler and
I. H. Sloan Erratum: ``Spline qualocation methods
for boundary integral equations''
[Numer. Math. \bf 58 (1990), no. 5,
537--567 and MR 91m:65323] . . . . . . . 295--295
Ricardo Durán and
Rodolfo Rodríguez On the asymptotic exactness of
Bank-Weiser's estimator . . . . . . . . 297--303
L. Elsner and
I. Koltracht and
M. Neumann Convergence of sequential and
asynchronous nonlinear paracontractions 305--319
A. Habbal and
D. Chenais Deterioration of a finite element method
for arch structures when the thickness
goes to zero . . . . . . . . . . . . . . 321--341
C. Schwab and
W. L. Wendland On numerical cubatures of singular
surface integrals in boundary element
methods . . . . . . . . . . . . . . . . 343--369
T. Sonar Entropy production in second-order
three-point schemes . . . . . . . . . . 371--390
Sze-Ping Wong Preconditioning nonconforming finite
element methods for treating Dirichlet
boundary conditions. I . . . . . . . . . 391--411
Sze-Ping Wong Preconditioning nonconforming finite
element methods for treating Dirichlet
boundary conditions. II . . . . . . . . 413--438
Ivo Babu\vska and
Manil Suri Locking effects in the finite element
approximation of elasticity problems . . 439--463
Amos J. Carpenter Asymptotics for the zeros of the
generalized Bessel polynomials . . . . . 465--482
G. A. Chandler Midpoint collocation for Cauchy singular
integral equations . . . . . . . . . . . 483--509
Martin Costabel and
William McLean Spline collocation for strongly elliptic
equations on the torus . . . . . . . . . 511--538
Nicholas J. Higham Estimating the Matrix $p$-norm . . . . . 539--555
Geno Nikolov On the monotonicity of sequences of
quadrature formulae . . . . . . . . . . 557--565
Georgios D. Akrivis Finite difference discretization of the
Kuramoto--Sivashinsky equation . . . . . 1--11
J. Baranger and
D. Sandri Finite element approximation of
viscoelastic fluid flow: Existence of
approximate solutions and error bounds.
I. Discontinuous constraints . . . . . . 13--27
C. Brezinski and
M. Redivo Zaglia and
H. Sadok A breakdown-free Lanczos type algorithm
for solving linear systems . . . . . . . 29--38
M. I. M. Copetti and
C. M. Elliott Numerical analysis of the Cahn--Hilliard
equation with a logarithmic free energy 39--65
Patrick Fischer and
Mireille Defranceschi and
Joseph Delhalle Molecular Hartree--Fock equations for
iteration-variation calculations in
momentum space . . . . . . . . . . . . . 67--82
Klaus Hallatschek Fouriertransformation auf dünnen Gittern
mit hierarchischen Basen. (German)
[Fourier transform on sparse grids with
hierarchical bases] . . . . . . . . . . 83--97
Marc Van Barel and
Adhemar Bultheel A parallel algorithm for discrete least
squares rational approximation . . . . . 99--121
Jin-Chao Xu and
Wei-Chang Shann Galerkin-wavelet methods for two-point
boundary value problems . . . . . . . . 123--144
Yves Achdou and
Roland Glowinski and
Olivier Pironneau Tuning the mesh of a mixed method for
the stream function. Vorticity
formulation of the Navier--Stokes
equations . . . . . . . . . . . . . . . 145--163
John C. Clements A convexity-preserving ${C}^2$
parametric rational cubic interpolation 165--171
Árpád Elbert and
Andrea Laforgia and
Lucia G. Rodon\`o Asymptotics for the $n$th-degree
Laguerre polynomial evaluated at $n$ . . 173--182
Richard E. Ewing and
JunPing Wang Analysis of mixed finite element methods
on locally refined grids . . . . . . . . 183--194
M. Jai and
G. Bayada and
M. Chambat The L. P. D. E. M.: a mixed finite
difference method for elliptic problems 195--211
Roy Mathias Evaluating the Fréchet derivative of the
matrix exponential . . . . . . . . . . . 213--226
U. Mertins Asymptotische Fehlerschranken für
Rayleigh--Ritz-Approximationen
selbstadjungierter Eigenwertaufgaben.
(German) [Asymptotic error estimates for
Rayleigh--Ritz approximations of
selfadjoint eigenvalue problems] . . . . 227--241
Peter Monk A finite element method for
approximating the time-harmonic Maxwell
equations . . . . . . . . . . . . . . . 243--261
Jan Verschelde and
Ronald Cools Nonlinear reduction for solving
deficient polynomial systems by
continuation methods . . . . . . . . . . 263--282
K. Wright Differential equations for the analytic
singular value decomposition of a matrix 283--295
Dieter Bahlmann and
Ulrich Langer A fast solver for the first biharmonic
boundary value problem . . . . . . . . . 297--313
Wolfgang Dahmen and
Angela Kunoth Multilevel preconditioning . . . . . . . 315--344
Andreas Frommer and
Daniel B. Szyld ${H}$-splittings and two-stage iterative
methods . . . . . . . . . . . . . . . . 345--356
Irena Lasiecka Convergence rates for the approximations
of the solutions to algebraic Riccati
Equations with unbounded coefficients:
case of analytic semigroups . . . . . . 357--390
Alexander P. Morgan and
Andrew J. Sommese and
Charles W. Wampler A power series method for computing
singular solutions to nonlinear analytic
systems . . . . . . . . . . . . . . . . 391--409
Reinhard Nabben On a Class of Matrices Which Arise in
the Numerical Solution of Euler
Equations . . . . . . . . . . . . . . . 411--431
Wolfgang Hackbusch The frequency decomposition multi grid
method. II. Convergence analysis based
on the additive Schwarz method . . . . . 433--453
Ch. Lubich and
R. Schneider Time discretization of parabolic
boundary integral equations . . . . . . 455--481
A. I. Pehlivanov and
R. D. Lazarov and
G. F. Carey and
S. S. Chow Superconvergence analysis of approximate
boundary-flux calculations . . . . . . . 483--501
Panayot S. Vassilevski and
Junping Wang Multilevel iterative methods for mixed
finite element discretizations of
elliptic problems . . . . . . . . . . . 503--520
Xuejun Zhang Multilevel Schwarz Methods . . . . . . . 521--539
J. C. Archer and
E. Le Gruyer Two shape preserving Lagrange $\cal
{C}^2$-interpolants . . . . . . . . . . 1--11
K. Arunakirinathar and
B. D. Reddy Mixed finite element methods for elastic
rods of arbitrary geometry . . . . . . . 13--43
Lisa A. Baughman and
Noel J. Walkington Co-volume methods for degenerate
parabolic problems . . . . . . . . . . . 45--67
Carsten Carstensen and
Martin Reinders On a class of higher-order methods for
simultaneous root finding of generalized
polynomials . . . . . . . . . . . . . . 69--84
Qiang Du and
Max Gunzburger and
Janet Peterson Finite element approximation of a
periodic Ginzburg--Landau model for
type-II superconductors . . . . . . . . 85--114
Çetin Kaya Koç and
Guanrong Chen A fast algorithm for scalar
Nevanlinna--Pick interpolation . . . . . 115--126
Andreas Lindae On shooting methods for the discrete
Helmholtz equation with constant
coefficients . . . . . . . . . . . . . . 127--145
Zlatko Drma\vc and
Vjeran Hari On Quadratic Convergence Bounds for the
${J}$-Symmetric Jacobi Method . . . . . 147--180
Miloud Sadkane A block Arnoldi-Chebyshev method for
computing the leading eigenpairs of
large sparse unsymmetric matrices . . . 181--193
Miloud Sadkane Block-Arnoldi and Davidson methods for
unsymmetric large eigenvalue problems 195--211
Gerhard Starke and
Richard S. Varga A Hybrid Arnoldi-Faber Iterative Method
for Nonsymmetric Systems of Linear
Equations . . . . . . . . . . . . . . . 213--240
K. Veseli\'c A Jacobi eigenreduction algorithm for
definite matrix pairs . . . . . . . . . 241--269
Min Chen and
Roger Temam Nonlinear Galerkin method in the finite
difference case and wavelet-like
incremental unknowns . . . . . . . . . . 271--294
Roland W. Freund and
Hong Yuan Zha A look-ahead algorithm for the solution
of general Hankel systems . . . . . . . 295--321
P. L. Lions and
E. Rouy and
A. Tourin Shape-from-shading, viscosity solutions
and edges . . . . . . . . . . . . . . . 323--353
J. N. Lyness and
E. de Doncker Quadrature error expansions. II. The
full corner singularity . . . . . . . . 355--370
Sotirios E. Notaris Error bounds for Gauss--Kronrod
quadrature formulae of analytic
functions . . . . . . . . . . . . . . . 371--380
Sotirios E. Notaris The error norm of Gauss--Lobatto
quadrature formulae for weight functions
of Bernstein--Szeg\Ho type . . . . . . . 381--393
Daniel Stoffer General linear methods: connection to
one step methods and invariant curves 395--408
M. Arnold and
K. Strehmel and
R. Weiner Half-explicit Runge--Kutta methods for
semi-explicit differential-algebraic
equations of index $1$ . . . . . . . . . 409--431
John W. Barrett and
W. B. Liu Finite element error analysis of a
quasi-Newtonian flow obeying the Carreau
or power law . . . . . . . . . . . . . . 433--453
Folkmar Bornemann and
Harry Yserentant A basic norm equivalence for the theory
of multilevel methods . . . . . . . . . 455--476
B. Büttgenbach and
H. Esser and
R. J. Nessel On the comparison of error bounds for
finite difference schemes . . . . . . . 477--486
Y. S. Choi and
P. J. McKenna and
M. Romano A mountain pass method for the numerical
solution of semilinear wave equations 487--509
T. N. L. Patterson Modified optimal quadrature extensions 511--520
B. Simeon and
C. Führer and
P. Rentrop The Drazin inverse in multibody system
dynamics . . . . . . . . . . . . . . . . 521--539
Slimane Adjerid and
Joseph E. Flaherty and
Yun J. Wang A posteriori error estimation with
finite element methods of lines for
one-dimensional parabolic systems . . . 1--21
Mark Ainsworth and
J. Tinsley Oden A unified approach to a posteriori error
estimation using element residual
methods . . . . . . . . . . . . . . . . 23--50
Jesse L. Barlow Perturbation results for nearly
uncoupled Markov chains with
applications to iterative methods . . . 51--62
Borislav Bojanov Interpolation by periodic splines with
Birkhoff knots . . . . . . . . . . . . . 63--75
Stephen L. Campbell Least squares completions for nonlinear
differential algebraic equations . . . . 77--94
J. Douglas, Jr. and
P. J. Paes Leme and
J. E. Roberts and
Junping Wang A parallel iterative procedure
applicable to the approximate solution
of second order partial differential
equations by mixed finite element
methods . . . . . . . . . . . . . . . . 95--108
Colm Art O'Cinneide Entrywise Perturbation Theory and Error
Analysis for Markov Chains . . . . . . . 109--120
Knut Petras Asymptotics for the remainder of a class
of positive quadratures for integrands
with an interior singularity . . . . . . 121--133
G. W. Stewart On the perturbation of Markov chains
with nearly transient states . . . . . . 135--141
François Alouges and
Arnaud Debussche On the discretization of a partial
differential equation in the
neighborhood of a periodic orbit . . . . 143--175
Christopher C. Paige and
Mu Sheng Wei Analysis of the generalized total least
squares problem ${AX}\approx {B}$ when
some columns of ${A}$ are free of error 177--202
Michel Pierre and
Jean-R. R. Roche Numerical simulation of tridimensional
electromagnetic shaping of liquid metals 203--217
N. Sivakumar and
J. D. Ward On the least squares fit by radial
functions to multidimensional scattered
data . . . . . . . . . . . . . . . . . . 219--243
Yongzhong Song Some comparison theorems for nonnegative
splittings of matrices . . . . . . . . . 245--252
Sze-Ping Wong Preconditioning ${P}_1$ nonconforming
finite elements: condition numbers and
singular value distributions . . . . . . 253--271
Olivier Edder Analysis of a simplified model of drop
combustion . . . . . . . . . . . . . . . 273--284
José M. Ferrándiz and
M. Teresa Pérez A family of multistep methods to
integrate orbits on spheres . . . . . . 285--300
Yvan Notay On the Convergence Rate of the Conjugate
Gradients in Presence of Rounding Errors 301--317
Giuseppe Savaré ${A}({\Theta})$-stable approximations of
abstract Cauchy problems . . . . . . . . 319--335
W. Spann On the boundary element method for the
Signorini problem of the Laplacian . . . 337--356
Ji-guang Sun Backward perturbation analysis of
certain characteristic subspaces . . . . 357--382
Pierre Verlinden and
Ann Haegemans An error expansion for cubature with an
integrand with homogeneous boundary
singularities . . . . . . . . . . . . . 383--406
Laurent Jay Collocation methods for
differential-algebraic equations of
index $3$ . . . . . . . . . . . . . . . 407--421
S. Joe and
Y. Yan A piecewise constant collocation method
using cosine mesh-grading for Symm's
equation . . . . . . . . . . . . . . . . 423--433
Dieter Kuhn About existence and uniqueness of the
restricted total least squares
estimation . . . . . . . . . . . . . . . 435--444
Tarek P. Mathew Schwarz alternating and iterative
refinement methods for mixed
formulations of elliptic problems. I.
Algorithms and numerical results . . . . 445--468
Tarek P. Mathew Schwarz alternating and iterative
refinement methods for mixed
formulations of elliptic problems. II.
Convergence theory . . . . . . . . . . . 469--492
Richard S. Varga and
Reinhard Nabben An algorithm for determining if the
inverse of a strictly diagonally
dominant Stieltjes matrix is strictly
ultrametric . . . . . . . . . . . . . . 493--501
Nobito Yamamoto and
Mitsuhiro T. Nakao Numerical verifications of solutions for
elliptic equations in nonconvex
polygonal domains . . . . . . . . . . . 503--521
L.-Q. Zhang and
G.-Q. Han Optimal homotopy methods for solving
nonlinear systems. I. Nonsingular
homotopy paths . . . . . . . . . . . . . 523--538
Vicent Caselles and
Francine Catté and
Tomeu Coll and
Françoise Dibos A geometric model for active contours in
image processing . . . . . . . . . . . . 1--31
F. Locher A stability test for real polynomials 33--40
Mark A. Lukas Asymptotic optimality of generalized
cross-validation for choosing the
regularization parameter . . . . . . . . 41--66
A. Rathsfeld On quadrature methods for the double
layer potential equation over the
boundary of a polyhedron . . . . . . . . 67--95
Noah H. Rhee and
Vjeran Hari On the global and cubic convergence of a
quasi-cyclic Jacobi method . . . . . . . 97--122
J. M. de Villiers A nodal spline interpolant for the
Gregory rule of even order . . . . . . . 123--137
S. Champier and
T. Gallouët and
R. Herbin Convergence of an upstream finite volume
scheme for a nonlinear hyperbolic
equation on a triangular mesh . . . . . 139--157
Thomas M. Fischer A spectral Galerkin approximation of the
Orr--Sommerfeld eigenvalue problem in a
semi-infinite domain . . . . . . . . . . 159--179
Frédéric d'Hennezel Domain decomposition method and elastic
multi-structures: the stiffened plate
problem . . . . . . . . . . . . . . . . 181--197
Rainer Kreß and
Ian H. Sloan On the numerical solution of a
logarithmic integral equation of the
first kind for the Helmholtz equation 199--214
N. Levenberg and
L. Reichel A generalized ADI iterative method . . . 215--233
M. Z. Nashed and
X. Chen Convergence of Newton-like methods for
singular operator equations using outer
inverses . . . . . . . . . . . . . . . . 235--257
O. Scherzer Convergence rates of iterated Tikhonov
regularized solutions of nonlinear
ill-posed problems . . . . . . . . . . . 259--279
Rémi Arcangéli and
Bernard Ycart Almost sure convergence of smoothing
${D}^m$-splines for noisy data . . . . . 281--294
Randolph E. Bank and
Tony F. Chan An analysis of the composite step
biconjugate gradient method . . . . . . 295--319
Klaus-Jürgen Förster Exit criteria and monotonicity in
compound quadrature of Gaussian type . . 321--327
Ben-yu Guo and
Jian Li Fourier--Chebyshev pseudospectral method
for two-dimensional vorticity equation 329--346
Wen Guo and
Martin Stynes Finite element analysis of exponentially
fitted Lumped schemes for time-dependent
convection-diffusion problems . . . . . 347--371
Rob Stevenson Robustness of multi-grid applied to
anisotropic equations on convex domains
and on domains with re-entrant corners 373--398
Liqing Zhang Two-sided approximation to periodic
solutions of ordinary differential
equations . . . . . . . . . . . . . . . 399--409
P. Amodio and
F. Mazzia Boundary value methods for the solution
of differential-algebraic equations . . 411--421
U. Göhner and
G. Warnecke A shock indicator for adaptive transonic
flow computations . . . . . . . . . . . 423--448
M. Griebel and
P. Oswald On additive Schwarz preconditioners for
sparse grid discretizations . . . . . . 449--463
Robert McLachlan Symplectic integration of Hamiltonian
wave equations . . . . . . . . . . . . . 465--492
Luca F. Pavarino Additive Schwarz methods for the
$p$-version finite element method . . . 493--515
Charles W. Wampler An efficient start system for
multi-homogeneous polynomial
continuation . . . . . . . . . . . . . . 517--523
Hermann Weber A multigrid method for a
Petrov--Galerkin discretization of the
Stokes equations . . . . . . . . . . . . 525--541
C. Brezinski and
M. Redivo Zaglia Hybrid procedures for solving linear
systems . . . . . . . . . . . . . . . . 1--19
D. Calvetti and
G. H. Golub and
L. Reichel An adaptive Chebyshev iterative method
for nonsymmetric linear systems based on
modified moments . . . . . . . . . . . . 21--40
Pedro Martins Girão and
Robert V. Kohn Convergence of a crystalline algorithm
for the heat equation in one dimension
and for the motion of a graph by
weighted curvature . . . . . . . . . . . 41--70
I. Gohberg and
V. Olshevsky Fast Inversion of Chebyshev--Vandermonde
Matrices . . . . . . . . . . . . . . . . 71--92
Jonathan Goodman and
Thomas Hou and
Eitan Tadmor On the stability of the unsmoothed
Fourier method for hyperbolic equations 93--129
Uri M. Ascher and
Hongsheng Chin and
Sebastian Reich Stabilization of DAEs and invariant
manifolds . . . . . . . . . . . . . . . 131--149
O. Buchauer and
P. Hiltmann and
M. Kiehl Sensitivity analysis of initial-value
problems with application to shooting
techniques . . . . . . . . . . . . . . . 151--159
M. P. Calvo and
J. M. Sanz-Serna Canonical $B$-series . . . . . . . . . . 161--175
Howard C. Elman and
Gene H. Golub and
Gerhard Starke On the convergence of line iterative
methods for cyclically reduced
non-symmetrizable linear systems . . . . 177--190
K. Vince Fernando and
Beresford N. Parlett Accurate singular values and
differential $qd$ algorithms . . . . . . 191--229
Ph. Guillaume and
M. Masmoudi Computation of high order derivatives in
optimal shape design . . . . . . . . . . 231--250
Ion Ichim and
Ionel Molnar A Bairstow's type method for
trigonometric polynomials . . . . . . . 251--259
Evgenij E. Tyrtyshnikov How Bad Are Hankel Matrices? . . . . . . 261--269
Carlos F. Borges On a class of Gauss-like quadrature
rules . . . . . . . . . . . . . . . . . 271--288
J. M. Carnicer and
J. M. Peña Least supported bases and local linear
independence . . . . . . . . . . . . . . 289--301
Luca Dieci and
Timo Eirola Positive definiteness in the numerical
solution of Riccati differential
equations . . . . . . . . . . . . . . . 303--313
Marizio Falcone and
Roberto Ferretti Discrete time high-order schemes for
viscosity solutions of
Hamilton--Jacobi--Bellman equations . . 315--344
Hong Jiang On the orthogonality of residual
polynomials of minimax polynomial
preconditioning . . . . . . . . . . . . 345--364
Ch. Lubich On the multistep time discretization of
linear initial-boundary value problems
and their boundary integral equations 365--389
Daoqi Yang Grid modification for the wave equation
with attenuation . . . . . . . . . . . . 391--401
Dario Bini and
Luca Gemignani Iteration schemes for the
divide-and-conquer eigenvalue solver . . 403--425
D. Chenais and
J. C. Paumier On the locking phenomenon for a class of
elliptic problems . . . . . . . . . . . 427--440
Dimiter P. Dryanov Quadrature formulae with free nodes for
periodic functions . . . . . . . . . . . 441--464
Jean-Luc Guermond Remarques sur les méthodes de projection
pour l'approximation des équations de
Navier--Stokes. (French) [Remarks on
projection methods for approximating
Navier--Stokes equations] . . . . . . . 465--473
Apostolos Hadjidimos and
Robert J. Plemmons Optimal $p$-cyclic SOR . . . . . . . . . 475--490
Moshe Haviv and
Ya'acov Ritov Bounds on the error of an approximate
invariant subspace for non-self-adjoint
matrices . . . . . . . . . . . . . . . . 491--500
Xun Jiang and
Ricardo H. Nochetto Effect of numerical integration for
elliptic obstacle problems . . . . . . . 501--512
Jie Shen Remarks on the pressure error estimates
for the projection methods . . . . . . . 513--520
Stephen J. Wright Stable parallel elimination for boundary
value ODEs . . . . . . . . . . . . . . . 521--535
Roland W. Freund and
Richard S. Varga Congratulations [to Editor Professor
Josef Stoer on the Occasion of his
Seventieth Birthday, June 21, 1994] . . 1--1
D. Calvetti and
L. Reichel Application of a block modified
Chebyshev algorithm to the iterative
solution of symmetric linear systems
with multiple right hand side vectors 3--16
A. R. Conn and
Nick Gould and
Ph. L. Toint A note on using alternative second-order
models for the subproblems arising in
barrier function methods for
minimization . . . . . . . . . . . . . . 17--33
Roland W. Freund A look-ahead Bareiss algorithm for
general Toeplitz matrices . . . . . . . 35--69
Bingsheng He Solving a class of linear projection
equations . . . . . . . . . . . . . . . 71--80
Florian Jarre A new line-search step based on the
Weierstrass $\wp$-function for
minimizing a class of logarithmic
barrier functions . . . . . . . . . . . 81--94
Michal Ko\vcvara and
Jochem Zowe An iterative two-step algorithm for
linear complementarity problems . . . . 95--106
M. J. D. Powell The uniform convergence of thin plate
spline interpolation in two dimensions 107--128
K. Schittkowski Parameter estimation in systems of
nonlinear equations . . . . . . . . . . 129--142
G. W. Stewart On the Convergence of Multipoint
Iterations . . . . . . . . . . . . . . . 143--147
Mechthild Stoer and
Geir Dahl A polyhedral approach to multicommodity
survivable network design . . . . . . . 149--167
Richard S. Varga and
Amos J. Carpenter Asymptotics for the zeros and poles of
normalized Padé approximants to $e^z$ . . 169--185
Philippe G. Ciarlet and
Richard S. Varga In memoriam: Alston Scott Householder,
1904--1993 . . . . . . . . . . . . . . . 187--187
Ali Ait Ou Ammi and
Martine Marion Nonlinear Galerkin methods and mixed
finite elements: two-grid algorithms for
the Navier--Stokes equations . . . . . . 189--213
Shivkumar Chandrasekaran and
Ilse C. F. Ipsen Backward Errors for Eigenvalue and
Singular Value Decompositions . . . . . 215--223
A. M. Cohen Is the Polynomial So Perfidious? . . . . 225--238
Pierre Degond and
Brigitte Lucquin-Desreux An entropy scheme for the Fokker--Planck
collision operator of plasma kinetic
theory . . . . . . . . . . . . . . . . . 239--262
R. Günttner Exact bounds for the uniform
approximation by cardinal spline
interpolants . . . . . . . . . . . . . . 263--267
Houde Han The boundary integro-differential
equations of three-dimensional Neumann
problem in linear elasticity . . . . . . 269--281
A. Sri Ranga Another quadrature rule of highest
algebraic degree of precision . . . . . 283--294
Rob Stevenson Modified ILU as a smoother . . . . . . . 295--309
Jan H. Brandts Superconvergence and a posteriori error
estimation for triangular mixed finite
elements . . . . . . . . . . . . . . . . 311--324
Krzysztof C. Kiwiel A Cholesky dual method for proximal
piecewise linear programming . . . . . . 325--340
Igor Moret The approximation of generalized turning
points by Krylov subspace methods . . . 341--353
Mark P. Robinson and
Graeme Fairweather Orthogonal spline collocation methods
for Schrödinger-type equations in one
space variable . . . . . . . . . . . . . 355--375
Wim Sweldens and
Robert Piessens Asymptotic error expansion of wavelet
approximations of smooth functions. II 377--401
Kim-Chuan Toh and
Lloyd N. Trefethen Pseudozeros of Polynomials and
Pseudospectra of Companion Matrices . . 403--425
Aihui Zhou and
Jichun Li The full approximation accuracy for the
stream function-vorticity-pressure
method . . . . . . . . . . . . . . . . . 427--435
John W. Barrett and
W. B. Liu Quasi-norm error bounds for the finite
element approximation of a non-Newtonian
flow . . . . . . . . . . . . . . . . . . 437--456
Lars Eldén and
Haesun Park Perturbation Analysis for Block
Downdating of a Cholesky Decomposition 457--467
Dinh Nho H\`ao A mollification method for ill-posed
problems . . . . . . . . . . . . . . . . 469--506
Markus Hegland A self-sorting in-place fast Fourier
transform algorithm suitable for vector
and parallel processing . . . . . . . . 507--547
Jeannette Van Iseghem Convergence of vectorial sequences.
Applications . . . . . . . . . . . . . . 549--562
O. Axelsson and
A. T. Chronopoulos On nonlinear generalized conjugate
gradient methods . . . . . . . . . . . . 1--15
L. Elsner and
C. He and
V. Mehrmann Minimizing the Condition Number of a
Positive Definite Matrix by Completion 17--23
Heinz W. Engl and
Wilhelm Grever Using the ${\sf L}$-curve for
determining optimal regularization
parameters . . . . . . . . . . . . . . . 25--31
G. Laval and
S. Mas-Gallic and
P.-A. Raviart Paraxial approximation of
ultrarelativistic intense beams . . . . 33--60
Ivo Marek and
Daniel B. Szyld Local convergence of the (exact and
inexact) iterative aggregation method
for linear systems and Markov operators 61--82
Günther Schmidt Boundary element discretization of
Poincaré--Steklov operators . . . . . . . 83--101
W. Spann Error estimates for the approximation of
semicoercive variational inequalities 103--116
Martin Zerner An asymptotically optimal finite element
scheme for the arch problem . . . . . . 117--123
Hongsen Chen and
Bo Li Superconvergence analysis and error
expansion for the Wilson nonconforming
finite element . . . . . . . . . . . . . 125--140
Andreas Frommer and
Daniel B. Szyld Asynchronous two-stage iterative methods 141--153
Hongci Huang and
Weimin Han and
Jinshi Zhou The regularization method for an
obstacle problem . . . . . . . . . . . . 155--166
Ralf Kornhuber Monotone multigrid methods for elliptic
variational inequalities. I . . . . . . 167--184
Luca F. Pavarino Schwarz methods with local refinement
for the $p$-version finite element
method . . . . . . . . . . . . . . . . . 185--211
J. Pousin and
J. Rappaz Consistency, stability, a priori and a
posteriori errors for Petrov--Galerkin
methods applied to nonlinear problems 213--231
Yuan Xu A class of bivariate orthogonal
polynomials and cubature formula . . . . 233--241
J. M. Borwein and
A. S. Lewis and
M. N. Limber and
D. Noll Maximum entropy reconstruction using
derivative information. II.
Computational results . . . . . . . . . 243--256
Armel de La Bourdonnaye Some formulations coupling finite
element and integral equation methods
for Helmholtz equation and
electromagnetism . . . . . . . . . . . . 257--268
G. Giunta and
A. Murli and
G. Schmid An analysis of bilinear transform
polynomial methods of inversion of
Laplace transforms . . . . . . . . . . . 269--282
T. Y. Li and
Noah H. Rhee and
Zhong Gang Zeng An efficient and accurate parallel
algorithm for the singular value problem
of bidiagonal matrices . . . . . . . . . 283--301
Marco Marletta and
John D. Pryce LCNO Sturm--Liouville problems:
computational difficulties and examples 303--320
A. Messaoudi On the stability of the incomplete
$LU$-factorizations and
characterizations of $H$-matrices . . . 321--331
Elwood T. Olsen and
Jim Douglas, Jr. Bounds on spectral condition numbers of
matrices arising in the $p$-version of
the finite element method . . . . . . . 333--352
Miodrag S. Petkovi\'c and
Carsten Carstensen and
Miroslav Trajkovi\'c Weierstrass formula and zero-finding
methods . . . . . . . . . . . . . . . . 353--372
Ji-guang Sun On worst-case condition numbers of a
nondefective multiple eigenvalue . . . . 373--382
Stephen L. Campbell and
Edward Moore Constraint preserving integrators for
general nonlinear higher index DAEs . . 383--399
Brian A. Coomes and
Hüseyin Koçak and
Kenneth J. Palmer Rigorous Computational Shadowing of
Orbits of Ordinary Differential
Equations . . . . . . . . . . . . . . . 401--421
Hans G. Feichtinger and
Karlheinz Gröchenig and
Thomas Strohmer Efficient numerical methods in
non-uniform sampling theory . . . . . . 423--440
P.-L. Lions and
P. E. Souganidis Convergence of MUSCL and filtered
schemes for scalar conservation laws and
Hamilton--Jacobi equations . . . . . . . 441--470
Diego Mejía and
Stephan Ruscheweyh and
Luis C. Salinas Polynomials on the Cauchy circle . . . . 471--481
A. Melman Numerical solution of a secular equation 483--493
Stefan Schneider Convergence results for multistep
Runge--Kutta methods on stiff mechanical
systems . . . . . . . . . . . . . . . . 495--508
Zhimin Zhang Locking and robustness in the finite
element method for circular arch problem 509--522
J. Elschner and
I. G. Graham An optimal order collocation method for
first kind boundary integral equations
on polygons . . . . . . . . . . . . . . 1--31
R. Ennenbach The inclusion of free membrane
eigenvalues . . . . . . . . . . . . . . 33--44
J.-B. Hiriart-Urruty and
D. Ye Sensitivity analysis of all eigenvalues
of a symmetric matrix . . . . . . . . . 45--72
K. Jbilou and
H. Sadok Analysis of some vector extrapolation
methods for solving systems of linear
equations . . . . . . . . . . . . . . . 73--89
Ian Knowles and
Robert Wallace A variational method for numerical
differentiation . . . . . . . . . . . . 91--110
Yves Nievergelt Bisection hardly ever converges linearly 111--118
Gilbert Stengle Error analysis of a randomized numerical
method . . . . . . . . . . . . . . . . . 119--128
U. Göhner and
G. Warnecke A second order finite difference error
indicator for adaptive transonic flow
computations . . . . . . . . . . . . . . 129--161
M. Griebel and
P. Oswald On the abstract theory of additive and
multiplicative Schwarz algorithms . . . 163--180
Martin H. Gutknecht and
Marlis Hochbruck Look-ahead Levinson and Schur algorithms
for non-Hermitian Toeplitz systems . . . 181--227
M. Laghchim-Lahlou and
P. Sablonni\`ere Quadrilateral finite elements of FVS
type and class ${C}^\rho$ . . . . . . . 229--243
K. Nipp and
D. Stoffer Invariant manifolds and global error
estimates of numerical integration
schemes applied to stiff systems of
singular perturbation type. I.
RK-methods . . . . . . . . . . . . . . . 245--257
M. Chipot and
C. Collins and
D. Kinderlehrer Numerical analysis of oscillations in
multiple well problems . . . . . . . . . 259--282
C. K. Chui and
J. C. Goswami and
A. K. Chan Fast integral wavelet transform on a
dense set of the time-scale domain . . . 283--302
Willy Govaerts and
Bodo Werner Continuous bordering of matrices and
continuous matrix decompositions . . . . 303--310
H. Michael Möller and
Hans J. Stetter Multivariate polynomial equations with
multiple zeros solved by matrix
eigenproblems . . . . . . . . . . . . . 311--329
Sherman D. Riemenschneider and
Zuowei Shen General interpolation on the lattice
$h{\bf Z}^s$: compactly supported
fundamental solutions . . . . . . . . . 331--351
M. L. Seoane Finite-dimensional approximation of
two-parameter nonlinear problems . . . . 353--377
Raymond O. Wells, Jr. and
Xiaodong Zhou Wavelet solutions for the Dirichlet
problem . . . . . . . . . . . . . . . . 379--396
D. Berthold and
B. Silbermann Corrected collocation methods for
periodic pseudodifferential equations 397--425
David Elliott and
Siegfried Prössdorf An algorithm for the approximate
solution of integral equations of Mellin
type . . . . . . . . . . . . . . . . . . 427--452
Ricardo D. Fierro and
Per Christian Hansen Accuracy of TSVD solutions computed from
rank-revealing decompositions . . . . . 453--471
Yunkang Liu Stability analysis of $\theta$-methods
for neutral functional-differential
equations . . . . . . . . . . . . . . . 473--485
Guang Fu Sun and
Martin Stynes An almost fourth order uniformly
convergent difference scheme for a
semilinear singularly perturbed
reaction-diffusion problem . . . . . . . 487--500
W. Sun A high order direct method for solving
Poisson's equation in a disc . . . . . . 501--506
Qiang Ye On close eigenvalues of tridiagonal
matrices . . . . . . . . . . . . . . . . 507--514
Ya-xiang Yuan On the convergence of a new trust region
algorithm . . . . . . . . . . . . . . . 515--539
Zhangxin Chen and
Bernardo Cockburn Analysis of a finite element method for
the drift-diffusion semiconductor device
equations: The multidimensional case . . 1--28
William J. Layton and
Joseph M. Maubach and
Patrick J. Rabier Parallel algorithms for maximal monotone
operators of local type . . . . . . . . 29--58
Chang-Ock Lee and
Seymour V. Parter On the rate of convergence of the
$k\times k$ block, $k$-line iterative
methods: $k\to\infty$ . . . . . . . . . 59--90
G. Nürnberger and
Th. Riessinger Bivariate spline interpolation at grid
points . . . . . . . . . . . . . . . . . 91--119
Andrew Wathen and
Bernd Fischer and
David Silvester The convergence rate of the minimal
residual method for the Stokes problem 121--134
John W. Barrett and
Patrick A. Wood The finite element approximation of a
coupled reaction-diffusion problem with
non-Lipschitz nonlinearities . . . . . . 135--157
Walter Gautschi and
Minda Zhang Computing orthogonal polynomials in
Sobolev spaces . . . . . . . . . . . . . 159--183
L. Halpern and
J. Rauch Absorbing boundary conditions for
diffusion equations . . . . . . . . . . 185--224
Donatella Marini and
Paola Pietra Mixed finite element approximation of a
degenerate elliptic problem . . . . . . 225--236
Jochen W. Schmidt and
Walter Heß An always successful method in
univariate convex ${C}^2$ interpolation 237--252
Mich\`ele Vanmaele and
Alexander \vZení\vsek The combined effect of numerical
integration and approximation of the
boundary in the finite element method
for eigenvalue problems . . . . . . . . 253--273
Herbert H. H. Homeier Determinantal representations for the
$\cal {J}$ transformation . . . . . . . 275--288
L. Steven Hou and
James C. Turner Analysis and finite element
approximation of an optimal control
problem in electrochemistry with current
density controls . . . . . . . . . . . . 289--315
Zhiping Li A numerical method for computing
singular minimizers . . . . . . . . . . 317--330
K. W. Morton and
E. Süli Evolution-Galerkin methods and their
supraconvergence . . . . . . . . . . . . 331--355
Franz Peherstorfer Orthogonality of residual polynomials
used in minimax polynomial
preconditioning . . . . . . . . . . . . 357--363
Arnold Reusken Fourier analysis of a robust multigrid
method for convection-diffusion
equations . . . . . . . . . . . . . . . 365--397
Alexander \vZení\vsek The maximum angle condition in the
finite element method for monotone
problems with applications in
magnetostatics . . . . . . . . . . . . . 399--417
Y. Achdou and
Yu. A. Kuznetsov and
O. Pironneau Substructuring preconditioners for the
${Q}_1$ mortar element method . . . . . 419--449
Feng Kang and
Zai-jiu Shang Volume-preserving algorithms for
source-free dynamical systems . . . . . 451--463
Chahid Ghaddar and
Yvon Maday and
Anthony T. Patera Analysis of a part design procedure . . 465--510
David Gottlieb and
Chi-Wang Shu On the Gibbs phenomenon. V. Recovering
exponential accuracy from collocation
point values of a piecewise analytic
function . . . . . . . . . . . . . . . . 511--526
Dietmar Kröner and
Sebastian Noelle and
Mirko Rokyta Convergence of higher order upwind
finite volume schemes on unstructured
grids for scalar conservation laws in
several space dimensions . . . . . . . . 527--560
John W. Barrett and
James F. Blowey An error bound for the finite element
approximation of the Cahn--Hilliard
equation with logarithmic free energy 1--20
Martin Hanke and
Andreas Neubauer and
Otmar Scherzer A convergence analysis of the Landweber
iteration for nonlinear ill-posed
problems . . . . . . . . . . . . . . . . 21--37
Sang Dong Kim and
Seymour V. Parter Preconditioning cubic spline collocation
--- Discretizations of elliptic
equations . . . . . . . . . . . . . . . 39--72
Maciej Kocan Approximation of viscosity solutions of
elliptic partial differential equations
on minimal grids . . . . . . . . . . . . 73--92
P. Köhler Construction of asymptotically best
quadrature formulas . . . . . . . . . . 93--116
Wolfgang M. Schmidt Appendix to ``Approximation of viscosity
solutions of elliptic partial
differential equations on minimal
grids'' by M. Kocan: Approximation to
orthogonal bases in $\mbox{\bf R}^n$ by
orthogonal bases with integer
coordinates . . . . . . . . . . . . . . 117--122
Alexander \vZení\vsek and
Mich\`ele Vanmaele The interpolation theorem for narrow
quadrilateral isoparametric finite
elements . . . . . . . . . . . . . . . . 123--141
Christopher Beattie and
Friedrich Goerisch Methods for computing lower bounds to
eigenvalues of self-adjoint operators 143--172
Stephen L. Campbell and
C. William Gear The index of general nonlinear DAEs . . 173--196
Klaus Deckelnick and
Gerhard Dziuk Convergence of a finite element method
for non-parametric mean curvature flow 197--222
K. Najib and
D. Sandri On a decoupled algorithm for solving a
finite element problem for the
approximation of viscoelastic fluid flow 223--238
C. V. Pao Block monotone iterative methods for
numerical solutions of nonlinear
elliptic equations . . . . . . . . . . . 239--262
Michael Rosier Biorthogonal decompositions of the Radon
transform . . . . . . . . . . . . . . . 263--283
Musheng Wei Upper bound and stability of scaled
pseudoinverses . . . . . . . . . . . . . 285--293
Carlos Díaz-Mendoza and
Pablo González-Vera and
Ramón Orive On the convergence of two-point Padé-type
approximants . . . . . . . . . . . . . . 295--312
Maksymilian Dryja and
Marcus V. Sarkis and
Olof B. Widlund Multilevel Schwarz methods for elliptic
problems with discontinuous coefficients
in three dimensions . . . . . . . . . . 313--348
Gabriele Engl The modeling and numerical simulation of
gas flow networks . . . . . . . . . . . 349--366
Rolf Stenberg and
Manil Suri Mixed $h$-$p$ finite element methods for
problems in elasticity and Stokes flow 367--389
Hongyuan Zha Computing the generalized singular
values/vectors of large sparse or
structured matrix pairs . . . . . . . . 391--417
Susanne C. Brenner A two-level additive Schwarz
preconditioner for nonconforming plate
elements . . . . . . . . . . . . . . . . 419--447
Barnabas M. Garay On structural stability of ordinary
differential equations with respect to
discretization methods . . . . . . . . . 449--479
Ralf Kornhuber Monotone multigrid methods for elliptic
variational inequalities. II . . . . . . 481--499
A. I. Pehlivanov and
G. F. Carey and
P. S. Vassilevski Least-squares mixed finite element
methods for non-selfadjoint elliptic
problems: I. Error estimates . . . . . . 501--522
M. Rumpf A variational approach to optimal meshes 523--540
Randolph E. Bank and
Jinchao Xu An algorithm for coarsening unstructured
meshes . . . . . . . . . . . . . . . . . 1--36
Ph. Clément and
R. Hagmeijer and
G. Sweers On the invertibility of mappings arising
in 2D grid generation problems . . . . . 37--51
Kai Diethelm Peano kernels and bounds for the error
constants of Gaussian and related
quadrature rules for Cauchy principal
value integrals . . . . . . . . . . . . 53--63
K. P. Hadeler Shadowing orbits and Kantorovich's
theorem . . . . . . . . . . . . . . . . 65--73
Christopher Heil and
Gilbert Strang and
Vasily Strela Approximation by translates of refinable
functions . . . . . . . . . . . . . . . 75--94
Michael Hinze On the numerical approximation of
unstable minimal surfaces with polygonal
boundaries . . . . . . . . . . . . . . . 95--118
Benoit Perthame and
Chi-Wang Shu On positivity preserving finite volume
schemes for Euler equations . . . . . . 119--130
G. A. Bocharov and
G. I. Marchuk and
A. A. Romanyukha Numerical solution by LMMs of stiff
delay differential systems modelling an
immune response . . . . . . . . . . . . 131--148
Tony F. Chan and
Barry F. Smith and
Jun Zou Overlapping Schwarz methods on
unstructured meshes using non-matching
coarse grids . . . . . . . . . . . . . . 149--167
François Dubois and
Guillaume Mehlman A non-parameterized entropy correction
for Roe's approximate Riemann solver . . 169--208
Masato Kimura Asymptotic estimation for the condition
numbers in BEM . . . . . . . . . . . . . 209--233
Ji-guang Sun Perturbation analysis of singular
subspaces and deflating subspaces . . . 235--263
Christine Bernardi and
Andreas Karageorghis Méthodes spectrales dans une portion de
disque. (French) [Spectral methods in a
part of the disk] . . . . . . . . . . . 265--289
Rudolf Bodenmann and
H. Joachim Schroll Compact difference methods applied to
initial-boundary value problems for
mixed systems . . . . . . . . . . . . . 291--309
Annie Cuyt and
Kathy Driver and
Doron Lubinsky Kronecker type theorems, normality and
continuity of the multivariate Padé
operator . . . . . . . . . . . . . . . . 311--327
Pierre-Arnaud Raviart and
Eric Sonnendrücker A hierarchy of approximate models for
the Maxwell equations . . . . . . . . . 329--372
Kunibert G. Siebert An a posteriori error estimator for
anisotropic refinement . . . . . . . . . 373--398
Mark Ainsworth The influence and selection of subspaces
for a posteriori error estimators . . . 399--418
Willy Dörfler A time- and space-adaptive algorithm for
the linear time-dependent Schrödinger
equation . . . . . . . . . . . . . . . . 419--448
B. N. Khoromskij and
G. Wittum Robust iterative methods for elliptic
problems with highly varying
coefficients in thin substructures . . . 449--472
Jan Mandel and
Radek Tezaur Convergence of a substructuring method
with Lagrange multipliers . . . . . . . 473--487
Thomas A. Manteuffel and
Gerhard Starke On hybrid iterative methods for
nonsymmetric systems of linear equations 489--506
Colm Art O'Cinneide Relative-error bounds for the $LU$
decomposition via the $GTH$ algorithm 507--519
Naoki Osada An acceleration theorem for the
$\rho$-algorithm . . . . . . . . . . . . 521--531
Frédéric Coquel and
Philippe G. LeFloch An entropy satisfying MUSCL scheme for
systems of conservation laws . . . . . . 1--33
Luca Dieci and
Timo Eirola Preserving monotonicity in the numerical
solution of Riccati differential
equations . . . . . . . . . . . . . . . 35--47
Xiaobo Liu Interior estimates for nonconforming
finite element methods . . . . . . . . . 49--67
Jean-François Maitre and
Olivier Pourquier Condition number and diagonal
preconditioning: comparison of the
$p$-version and the spectral element
methods . . . . . . . . . . . . . . . . 69--84
Roy Mathias Fast accurate eigenvalue methods for
graded positive definite matrices . . . 85--103
Ricardo H. Nochetto and
Claudio Verdi Combined effect of explicit
time-stepping and quadrature for
curvature driven flows . . . . . . . . . 105--136
Paola Baratella and
Paola Moroni Asymptotic error bounds of product
formulas for functions with interior
singularity . . . . . . . . . . . . . . 137--151
Lucia Gastaldi Mixed finite element methods in fluid
structure systems . . . . . . . . . . . 153--176
Armin Iske and
Thomas Sonar On the structure of function spaces in
optimal recovery of point functionals
for ENO-schemes by radial basis
functions . . . . . . . . . . . . . . . 177--201
Yiannis G. Saridakis Regions of exact convergence of the
USSOR method applied on generalized
consistently ordered matrices . . . . . 203--219
C. Schwab A-posteriori modeling error estimation
for hierarchic plate models . . . . . . 221--259
Thomas Apel and
Gert Lube Anisotropic mesh refinement in
stabilized Galerkin methods . . . . . . 261--282
F. Casas Fer's factorization as a symplectic
integrator . . . . . . . . . . . . . . . 283--303
K. Nipp and
D. Stoffer Invariant manifolds and global error
estimates of numerical integration
schemes applied to stiff systems of
singular perturbation type. II. Linear
multistep methods . . . . . . . . . . . 305--323
Pablo Pedregal On the numerical analysis of non-convex
variational problems . . . . . . . . . . 325--336
S. A. Sauter and
A. Krapp On the effect of numerical integration
in the Galerkin boundary element method 337--359
S. Shaw and
J. R. Whiteman Discontinuous Galerkin method with a
posteriori $L_p(0,t_i)$ error estimate
for second-kind Volterra problems . . . 361--383
A. Alonso Error estimators for a mixed method . . 385--395
M. Kappert On the zeros of the partial sums of
$\cos(z)$ and $\sin(z)$ . . . . . . . . 397--417
W. McLean and
S. B. Prößdorf Boundary element collocation methods
using splines with multiple knots . . . 419--451
A. Oukit and
R. Pierre Mixed finite element for the linear
plate problem: The Hermann-Miyoshi model
revisited . . . . . . . . . . . . . . . 453--477
Tobias von Petersdorff and
Christoph Schwab Wavelet approximations for first kind
boundary integral equations on polygons 479--516
Gang Bao Numerical analysis of diffraction by
periodic structures: TM polarization . . 1--16
Michael G. Crandall and
Pierre-Louis Lions Convergent difference schemes for
nonlinear parabolic equations and mean
curvature motion . . . . . . . . . . . . 17--41
W. Govaerts and
A. Spence Detection of Hopf points by counting
sectors in the complex plane . . . . . . 43--58
Benqi Guo and
Weiming Cao A preconditioner for the $h$-$p$ version
of the finite element method in two
dimensions . . . . . . . . . . . . . . . 59--77
Erich Novak and
Klaus Ritter High-dimensional integration of smooth
functions over cubes . . . . . . . . . . 79--97
Robert Plato On the discrepancy principle for
iterative and parametric methods to
solve linear ill-posed equations . . . . 99--120
Shu-fang Xu Sensitivity analysis of the algebraic
Riccati equations . . . . . . . . . . . 121--134
Folkmar A. Bornemann and
Peter Deuflhard The cascadic multigrid method for
elliptic problems . . . . . . . . . . . 135--152
Ulrich Brink and
Carsten Carstensen and
Erwin Stein Symmetric coupling of boundary elements
and Raviart--Thomas-type mixed finite
elements in elastostatics . . . . . . . 153--174
Oliver G. Ernst A finite-element capacitance matrix
method for exterior Helmholtz problems 175--204
Mitchell Luskin Approximation of a laminated
microstructure for a rotationally
invariant, double well energy density 205--221
Juhani Pitkäranta and
Manil Suri Design principles and error analysis for
reduced-shear plate-bending finite
elements . . . . . . . . . . . . . . . . 223--266
Götz Alefeld and
Ingrid Lenhardt and
Günter Mayer On multisplitting methods for band
matrices . . . . . . . . . . . . . . . . 267--292
Michael Dellnitz and
Andreas Hohmann A subdivision algorithm for the
computation of unstable manifolds and
global attractors . . . . . . . . . . . 293--317
Lars Grüne An adaptive grid scheme for the discrete
Hamilton--Jacobi--Bellman equation . . . 319--337
Hao Lu Galerkin and weighted Galerkin methods
for a forward-backward heat equation . . 339--356
F. Nataf and
F. Nier Convergence rate of some domain
decomposition methods for overlapping
and nonoverlapping subdomains . . . . . 357--377
Masaaki Sugihara Optimality of the double exponential
formula --- functional analysis approach 379--395
Klaus Wilderotter An asymptotically optimal algorithm for
approximating bounded analytic functions 397--404
Daniele Boffi and
Carlo Lovadina Analysis of new augmented Lagrangian
formulations for mixed finite element
schemes . . . . . . . . . . . . . . . . 405--419
J. de Frutos and
J. M. Sanz-Serna Accuracy and conservation properties in
numerical integration: The case of the
Korteweg--de Vries equation . . . . . . 421--445
W. Hackbusch and
S. A. Sauter Composite finite elements for the
approximation of PDEs on domains with
complicated micro-structures . . . . . . 447--472
J. Rappaz and
J. Sanchez Hubert and
E. Sanchez Palencia and
D. Vassiliev On spectral pollution in the finite
element approximation of thin elastic
``membrane'' shells . . . . . . . . . . 473--500
Andreas Rieder A wavelet multilevel method for
ill-posed problems stabilized by
Tikhonov regularization . . . . . . . . 501--522
C. Wagner and
W. Kinzelbach and
G. Wittum Schur-complement multigrid. A robust
method for groundwater flow and
transport problems . . . . . . . . . . . 523--545
Rémi Abgrall and
Thomas Sonar On the use of Muhlbach expansions in the
recovery step of ENO methods . . . . . . 1--25
Grégoire Allaire and
Eric Bonnetier and
Gilles Francfort and
François Jouve Shape optimization by the homogenization
method . . . . . . . . . . . . . . . . . 27--68
Juan José Torrens Sur l'erreur d'approximation par éléments
finis en utilisant la méthode des
plaquettes splines. (French) [On the
finite element approximation error using
the ``plaquette splines'' method] . . . 69--85
Harry Yserentant A new class of particle methods . . . . 87--109
Harry Yserentant A particle model of compressible fluids 111--142
H. Andrä and
E. Schnack Integration of singular Galerkin-type
boundary element integrals for 3D
elasticity problems . . . . . . . . . . 143--165
Antonin Chambolle and
Pierre-Louis Lions Image recovery via total variation
minimization and related problems . . . 167--188
Hua Dai and
Peter Lancaster Numerical methods for finding multiple
eigenvalues of matrices depending on
parameters . . . . . . . . . . . . . . . 189--208
Aaron E. Naiman and
Ivo M. Babu\vska and
Howard C. Elman A note on conjugate gradient convergence 209--230
Sebastian Reich On higher-order semi-explicit symplectic
partitioned Runge--Kutta methods for
constrained Hamiltonian systems . . . . 231--247
Ji-guang Sun Residual bounds of approximate solutions
of the algebraic Riccati equation . . . 249--263
G. Wittum Shifted iterations . . . . . . . . . . . 265--278
Zhaojun Bai and
James Demmel and
Ming Gu An inverse free parallel spectral divide
and conquer algorithm for nonsymmetric
eigenproblems . . . . . . . . . . . . . 279--308
Michele Benzi and
Daniel B. Szyld Existence and uniqueness of splittings
for stationary iterative methods with
applications to alternating methods . . 309--321
Zhiming Chen Mixed finite element methods for a
dynamical Ginzburg--Landau model in
superconductivity . . . . . . . . . . . 323--353
J. Elschner and
Y. Jeon and
I. H. Sloan and
E. P. Stephan The collocation method for mixed
boundary value problems on domains with
curved polygonal boundaries . . . . . . 355--381
Haesun Park and
Lars Eldén Stability analysis and fast algorithms
for triangularization of Toeplitz
matrices . . . . . . . . . . . . . . . . 383--402
Manabu Sakai Inflections and singularity on
parametric rational cubic curves . . . . 403--417
Mohamed Farhloul and
Michel Fortin Dual hybrid methods for the elasticity
and the Stokes problems: a unified
approach . . . . . . . . . . . . . . . . 419--440
E. Hairer and
Ch. Lubich The life-span of backward error analysis
for numerical integrators . . . . . . . 441--462
C. He On the distance to uncontrollability and
the distance to instability and their
relation to some condition numbers in
control . . . . . . . . . . . . . . . . 463--477
Sang Dong Kim and
Seokchan Kim Exponential decay of $C^1$-cubic splines
vanishing at two symmetric points in
each knot interval . . . . . . . . . . . 479--488
N. Papamichael and
I. E. Pritsker and
E. B. Saff and
N. S. Stylianopoulos Approximation of conformal mappings of
annular regions . . . . . . . . . . . . 489--513
Frank Uhlig The $\sc D\sc Q\sc R$ algorithm, basic
theory, convergence, and conditional
stability . . . . . . . . . . . . . . . 515--553
John W. Barrett and
James F. Blowey Finite element approximation of a model
for phase separation of a
multi-component alloy with non-smooth
free energy . . . . . . . . . . . . . . 1--34
Bernard Bialecki and
Maksymilian Dryja Multilevel additive and multiplicative
methods for orthogonal spline
collocation problems . . . . . . . . . . 35--58
D. Dryanov and
V. Vatchev On quadrature formulae with maximal
trigonometric degree of precision . . . 59--82
Hong Oh Kim and
Sang Dong Kim and
Yong Hun Lee Finite difference preconditioning cubic
spline collocation method of elliptic
equations . . . . . . . . . . . . . . . 83--103
Shayne Waldron Integral error formulae for the scale of
mean value interpolations which includes
Kergin and Hakopian interpolation . . . 105--122
Georgios E. Zouraris Convergence of Runge--Kutta
approximations for parabolic problems
with Neumann boundary conditions . . . . 123--142
François Bereux and
Lionel Sainsaulieu A Roe-type Riemann solver for hyperbolic
systems with relaxation based on
time-dependent wave decomposition . . . 143--185
C. Carstensen and
S. A. Funken and
E. P. Stephan On the adaptive coupling of FEM and BEM
in $2$-d-elasticity . . . . . . . . . . 187--221
Ryan I. Fernandes Efficient orthogonal spline collocation
methods for solving linear second order
hyperbolic problems on rectangles . . . 223--241
Max D. Gunzburger and
L. Steven Hou and
S. S. Ravindran Analysis and approximation of optimal
control problems for a simplified
Ginzburg--Landau model of
superconductivity . . . . . . . . . . . 243--268
Benedict J. Leimkuhler and
Erik S. Van Vleck Orthosymplectic integration of linear
Hamiltonian systems . . . . . . . . . . 269--282
J. M. Borwein and
W. Sun The stability analysis of dynamic SPECT
systems . . . . . . . . . . . . . . . . 283--298
Dominique Chapelle A locking-free approximation of curved
rods by straight beam elements . . . . . 299--322
Heike Faßbender Inverse unitary eigenproblems and
related orthogonal functions . . . . . . 323--345
H. Han and
W. Bao The artificial boundary conditions for
incompressible materials on an unbounded
domain . . . . . . . . . . . . . . . . . 347--363
Kenneth Hvistendahl Karlsen and
Nils Henrik Risebro An operator splitting method for
nonlinear convection-diffusion equations 365--382
Marcus Sarkis Nonstandard coarse spaces and Schwarz
methods for elliptic problems with
discontinuous coefficients using
non-conforming elements . . . . . . . . 383--406
Markus Ziegler Generalized biorthogonal bases and
tridiagonalisation of matrices . . . . . 407--421
Vicent Caselles and
Ron Kimmel and
Guillermo Sapiro and
Catalina Sbert Minimal surfaces: a geometric three
dimensional segmentation approach . . . 423--451
David Elliott and
Ezio Venturino Sigmoidal transformations and the
Euler--Maclaurin expansion for
evaluating certain Hadamard finite-part
integrals . . . . . . . . . . . . . . . 453--465
Nicola Guglielmi On the asymptotic stability properties
of Runge--Kutta methods for delay
differential equations . . . . . . . . . 467--485
Martin Hanke Superlinear convergence rates for the
Lanczos method applied to elliptic
operators . . . . . . . . . . . . . . . 487--499
Kang-Man Liu and
Ivo Babu\vska Dimensional reduction for Helmholtz's
equation on a bounded domain . . . . . . 501--533
Daniel Stoffer On the qualitative behaviour of
symplectic integrators. Part I:
Perturbed linear systems . . . . . . . . 535--547
M. Zennaro Asymptotic stability analysis of
Runge--Kutta methods for nonlinear
systems of delay differential equations 549--563
Silvia Bertoluzza Interior estimates for the wavelet
Galerkin method . . . . . . . . . . . . 1--20
Zhiping Li Simultaneous numerical approximation of
microstructures and relaxed minimizers 21--38
Beatrice Meini New convergence results on functional
iteration techniques for the numerical
solution of $M/G/1$ type Markov chains 39--58
Thomas Sauer Polynomial interpolation of minimal
degree . . . . . . . . . . . . . . . . . 59--85
J. Schropp A note on minimization problems and
multistep methods . . . . . . . . . . . 87--101
Gerhard Starke Field-of-values analysis of
preconditioned iterative methods for
nonsymmetric elliptic problems . . . . . 103--117
Christian Wagner Tangential frequency filtering
decompositions for symmetric matrices 119--142
Christian Wagner Tangential frequency filtering
decompositions for unsymmetric matrices 143--163
V. John and
J. M. Maubach and
L. Tobiska Nonconforming
streamline-diffusion-finite-element-methods for convection-diffusion problems 165--188
Hao Lu and
Owe Axelsson Conditioning analysis of block
incomplete factorizations and its
application to elliptic equations . . . 189--209
Stefan A. Sauter and
Christoph Schwab Quadrature for $hp$-Galerkin BEM in
${\bf R}^3$ . . . . . . . . . . . . . . 211--258
Zhong-Ci Shi and
Bin Jiang and
Weimin Xue A new superconvergence property of
Wilson nonconforming finite element . . 259--268
Rob Stevenson A robust hierarchical basis
preconditioner on general meshes . . . . 269--303
Christian Wagner and
Gabriel Wittum Adaptive filtering . . . . . . . . . . . 305--328
Peter Benner and
Volker Mehrmann and
Hongguo Xu A numerically stable, structure
preserving method for computing the
eigenvalues of real Hamiltonian or
symplectic pencils . . . . . . . . . . . 329--358
Folkmar A. Bornemann and
Christof Schütte A mathematical investigation of the
Car--Parrinello method . . . . . . . . . 359--376
Michel Delfour and
François Dubeau Fixed mesh approximation of ordinary
differential equations with impulses . . 377--401
Miloslav Feistauer and
Karel Najzar Finite element approximation of a
problem with a nonlinear Newton boundary
condition . . . . . . . . . . . . . . . 403--425
W. Lawton and
S. L. Lee and
Zuowei Shen Convergence of multidimensional cascade
algorithm . . . . . . . . . . . . . . . 427--438
J. N. Lyness and
U. Rüde Cubature of integrands containing
derivatives . . . . . . . . . . . . . . 439--461
Ji-guang Sun Residual bounds of approximate solutions
of the discrete-time algebraic Riccati
equation . . . . . . . . . . . . . . . . 463--478
R. Verfürth Robust a posteriori error estimators for
a singularly perturbed
reaction-diffusion equation . . . . . . 479--493
Hongsen Chen and
Richard Ewing and
Raytcho Lazarov Superconvergence of mixed finite element
methods for parabolic problems with
nonsmooth initial data . . . . . . . . . 495--521
Michel Crouzeix and
Francisco-Javier Sayas Asymptotic expansions of the error of
spline Galerkin boundary element methods 523--547
M. Hegland and
R. S. Anderssen A mollification framework for improperly
posed problems . . . . . . . . . . . . . 549--575
B. N. Khoromskij and
G. Schmidt A fast interface solver for the
biharmonic Dirichlet problem on
polygonal domains . . . . . . . . . . . 577--596
M. Lemou Multipole expansions for the
Fokker--Planck--Landau operator . . . . 597--618
Thomas Sonar and
Endre Süli A dual graph-norm refinement indicator
for finite volume approximations of the
Euler equations . . . . . . . . . . . . 619--658
J. F. Buss and
R. B. Simpson Planar mesh refinement cannot be both
local and regular . . . . . . . . . . . 1--10
L. Demkowicz and
K. Gerdes Convergence of the infinite element
methods for the Helmholtz equation in
separable domains . . . . . . . . . . . 11--42
Birgit Faermann Local a-posteriori error indicators for
the Galerkin discretization of boundary
integral equations . . . . . . . . . . . 43--76
Yinnian He and
Kaitai Li Convergence and stability of finite
element nonlinear Galerkin method for
the Navier--Stokes equations . . . . . . 77--106
Pascal Laubin High order convergence for collocation
of second kind boundary integral
equations on polygons . . . . . . . . . 107--140
Christoph Pflaum A multilevel algorithm for the solution
of second order elliptic differential
equations on sparse grids . . . . . . . 141--155
Mark Ainsworth and
Rolf Grigorieff and
Ian Sloan Semi-discrete Galerkin approximation of
the single layer equation by general
splines . . . . . . . . . . . . . . . . 157--174
Zhiming Chen and
Jun Zou Finite element methods and their
convergence for elliptic and parabolic
interface problems . . . . . . . . . . . 175--202
Michael Günther Simulating digital circuits numerically
--- a charge-oriented ROW approach . . . 203--212
Thomas Huckle Symmetric Gaussian elimination for
Cauchy-type matrices with application to
positive definite Toeplitz matrices . . 213--229
Seongjai Kim Domain decomposition iterative
procedures for solving scalar waves in
the frequency domain . . . . . . . . . . 231--259
C. V. Pao Accelerated monotone iterative methods
for finite difference equations of
reaction-diffusion . . . . . . . . . . . 261--281
Tomás Chacón Rebollo A term by term stabilization algorithm
for finite element solution of
incompressible flow problems . . . . . . 283--319
C. Carstensen and
M. Kuhn and
U. Langer Fast parallel solvers for symmetric
boundary element domain decomposition
equations . . . . . . . . . . . . . . . 321--347
Carlos Conca and
Mario Durán and
Jacques Rappaz Rate of convergence estimates for the
spectral approximation of a generalized
eigenvalue problem . . . . . . . . . . . 349--369
Norbert Heuer An iterative substructuring method for
the $p$-version of the boundary element
method for hypersingular integral
operators in three dimensions . . . . . 371--396
Xu-Dong Liu and
Eitan Tadmor Third order nonoscillatory central
scheme for hyperbolic conservation laws 397--425
H. J. Oberle and
G. Opfer Nonnegative splines, in particular of
degree five . . . . . . . . . . . . . . 427--450
Ian H. Sloan and
W. L. Wendland Qualocation methods for elliptic
boundary integral equations . . . . . . 451--483
Bogdan Dumitrescu Improving and estimating the accuracy of
Strassen's algorithm . . . . . . . . . . 485--499
Barbara Kaltenbacher A posteriori parameter choice strategies
for some Newton type methods for the
regularization of nonlinear ill-posed
problems . . . . . . . . . . . . . . . . 501--528
Seongjai Kim On the use of rational iterations and
domain decomposition methods for the
Helmholtz problem . . . . . . . . . . . 529--552
Sergey A. Kochengin and
Vladimir I. Oliker Determination of reflector surfaces from
near-field scattering data II. Numerical
solution . . . . . . . . . . . . . . . . 553--568
Toshiyuki Koto Stability of the Radau IA and Lobatto
IIIC methods for delay differential
equations . . . . . . . . . . . . . . . 569--580
Peter Kunkel and
Volker Mehrmann Regular solutions of nonlinear
differential-algebraic equations and
their numerical determination . . . . . 581--600
Michael-Ralf Skrzipek Polynomial evaluation and associated
polynomials . . . . . . . . . . . . . . 601--613
Ji-guang Sun Perturbation analysis of generalized
singular subspaces . . . . . . . . . . . 615--641
Zhanye Tong and
Ahmed Sameh On an iterative method for saddle point
problems . . . . . . . . . . . . . . . . 643--646
Wolf-Jürgen Beyn and
Winfried Kleß Numerical Taylor expansions of invariant
manifolds in large dynamical systems . . 1--38
Borislav Bojanov and
Guergana Petrova Numerical integration over a disc. A new
Gaussian quadrature formula . . . . . . 39--59
Silvia Dassi\`e and
Marco Vianello and
Renato Zanovello Asymptotic summation of power series . . 61--73
Alfredo Eisinberg and
Giuseppe Franzé and
Paolo Pugliese Vandermonde matrices on integer nodes 75--85
Benqi Guo and
Ernst P. Stephan The $h$-$p$ version of the coupling of
finite element and boundary element
methods for transmission problems in
polyhedral domains . . . . . . . . . . . 87--107
J. J. McDonald and
H. Schneider Block LU factorizations of M-matrices 109--130
Rob Stevenson Stable three-point wavelet bases on
general meshes . . . . . . . . . . . . . 131--158
B. Achchab and
A. Agouzal and
J. Baranger and
J. F. Maitre Estimateur d'erreur a posteriori
hiérarchique. Application aux éléments
finis mixtes (French) [A posteriori
hierarchical error estimator.
Application to mixed finite elements] 159--179
M. Amara and
M. Ben Younes and
C. Bernardi Error indicators for the Navier--Stokes
equations in stream function and
vorticity formulation . . . . . . . . . 181--206
J.-L. Guermond and
L. Quartapelle On the approximation of the unsteady
Navier--Stokes equations by finite
element projection methods . . . . . . . 207--238
Zhongxiao Jia Generalized block Lanczos methods for
large unsymmetric eigenproblems . . . . 239--266
Zhou-Ming Lou and
Bernard Bialecki and
Graeme Fairweather Orthogonal spline collocation methods
for biharmonic problems . . . . . . . . 267--303
Florian A. Potra and
Liqun Qi and
Defeng Sun Secant methods for semismooth equations 305--324
Mark Ainsworth A posteriori error estimation for fully
discrete hierarchic models of elliptic
boundary value problems on thin domains 325--362
K. A. Ariyawansa Line search termination criteria for
collinear scaling algorithms for
minimizing a class of convex functions 363--376
B. Le Bailly and
J. P. Thiran Optimum parameters for the generalized
ADI method . . . . . . . . . . . . . . . 377--395
Y. Notay Using approximate inverses in algebraic
multilevel methods . . . . . . . . . . . 397--417
Jukka Tuomela and
Olivier Vacus Algebraic derivation of discrete
absorbing boundary conditions for the
wave equation . . . . . . . . . . . . . 419--459
Shayne Waldron Multipoint Taylor formulæ . . . . . . . . 461--494
Philippe Ciarlet Editorial: [to Richard S. Varga,
Seventieth Birthday Greetings] . . . . . 495--495
E. Bänsch and
W. Dörfler Adaptive finite elements for exterior
domain problems . . . . . . . . . . . . 497--523
John W. Barrett and
James F. Blowey and
Harald Garcke Finite element approximation of a fourth
order nonlinear degenerate parabolic
equation . . . . . . . . . . . . . . . . 525--556
Christian Kanzow An inexactQP-based method for nonlinear
complementarity problems . . . . . . . . 557--577
Otmar Scherzer An iterative multi level algorithm for
solving nonlinear ill-posed problems . . 579--600
S. Verdi\`ere and
M. H. Vignal Numerical and theoretical study of a
Dual Mesh Method using finite volume
schemes for two phase flow problems in
porous media . . . . . . . . . . . . . . 601--639
R. Verfürth A posteriori error estimators for
convection-diffusion equations . . . . . 641--663
C. Brezinski and
M. Redivo-Zaglia and
G. Rodriguez and
S. Seatzu Extrapolation techniques for
ill-conditioned linear systems . . . . . 1--29
M. Calvo and
S. Gonzalez-Pinto and
J. I. Montijano On the convergence of Runge--Kutta
methods for stiff non linear
differential equations . . . . . . . . . 31--51
Christian Lubich and
Alexander Ostermann Hopf bifurcation of reaction-diffusion
and Navier--Stokes equations under
discretization . . . . . . . . . . . . . 53--84
Christian Rohde Upwind finite volume schemes for weakly
coupled hyperbolic systems of
conservation laws in 2D . . . . . . . . 85--123
V. Simoncini A matrix analysis of Arnoldi and Lanczos
methods . . . . . . . . . . . . . . . . 125--141
W. Sun Fast algorithms for high-order spline
collocation systems . . . . . . . . . . 143--160
Anonymous Announcement: Householder Award X . . . 161--162
Daniela Capatina-Papaghiuc and
Jean-Marie Thomas Nonconforming finite element methods
without numerical locking . . . . . . . 163--186
Carsten Carstensen and
Georg Dolzmann A posteriori error estimates for mixed
FEM in elasticity . . . . . . . . . . . 187--209
Lina Hemmingsson A semi-circulant preconditioner for the
convection-diffusion equation . . . . . 211--248
Hao Lu and
Joseph Maubach A finite element method and variable
transformations for a forward-backward
heat equation . . . . . . . . . . . . . 249--272
G. Monegato and
J. N. Lyness The Euler--Maclaurin expansion and
finite-part integrals . . . . . . . . . 273--291
J. M. Peña Pivoting strategies leading to diagonal
dominance by rows . . . . . . . . . . . 293--304
Cheon Seoung Ryoo and
Mitsuhiro T. Nakao Numerical verification of solutions for
variational inequalities . . . . . . . . 305--320
Anonymous Announcement: Householder Award X . . . 321--322
P. Dutt Spectral methods for initial boundary
value problems with nonsmooth data . . . 323--344
Boris N. Khoromskij and
Gabriel Wittum An asymptotically optimal Schur
complement reduction for the Stokes
equation . . . . . . . . . . . . . . . . 345--375
Chi-Kwong Li and
Roy Mathias The Lidskii-Mirsky-Wielandt theorem ---
additive and multiplicative versions . . 377--413
Will Light and
Henry Wayne Spaces of distributions, interpolation
by translates of a basis function and
error estimates . . . . . . . . . . . . 415--450
Lin Qiu and
Biao Yang and
Jiaoxun Kuang The NGP-stability of Runge--Kutta
methods for systems of neutral delay
differential equations . . . . . . . . . 451--459
Stefano Serra The rate of convergence of Toeplitz
based PCG methods for second order
nonlinear boundary value problems . . . 461--495
Philippe Angot and
Charles-Henri Bruneau and
Pierre Fabrie A penalization method to take into
account obstacles in incompressible
viscous flows . . . . . . . . . . . . . 497--520
K. Brüntjen and
H. Späth Incomplete total least squares . . . . . 521--538
Qiang Du and
Max D. Gunzburger and
Hyesuk Kwon Lee Analysis and computation of a mean-field
model for superconductivity . . . . . . 539--560
J. S. Hwang Rational approximation to orthogonal
bases and of the solutions of elliptic
equations . . . . . . . . . . . . . . . 561--575
Axel Klawonn and
Gerhard Starke Block triangular preconditioners for
nonsymmetric saddle point problems:
field-of-values analysis . . . . . . . . 577--594
Peter A. Markowich and
Paola Pietra and
Carsten Pohl Numerical approximation of quadratic
observables of Schrödinger-type equations
in the semi-classical limit . . . . . . 595--630
Josef Stoer and
Martin Wechs On the analyticity properties of
infeasible-interior-point paths for
monotone linear complementarity problems 631--645
Qingchuan Yao On Halley iteration . . . . . . . . . . 647--677
Zhong-Zhi Bai and
Violeta Migallón and
José Penadés and
Daniel B. Szyld Block and asynchronous two-stage methods
for mildly nonlinear systems . . . . . . 1--20
John W. Barrett and
Mathias Schneider Finite element approximation of a
semilinear elliptic problem with a
singular nonlinearity . . . . . . . . . 21--56
Fabio Di Benedetto and
Stefano Serra Capizzano A unifying approach to abstract matrix
algebra preconditioning . . . . . . . . 57--90
Robert Eymard and
Thierry Gallouët and
Rapha\`ele Herbin Convergence of finite volume schemes for
semilinear convection diffusion
equations . . . . . . . . . . . . . . . 91--116
Stefano Serra A Korovkin-type theory for finite
Toeplitz operators via matrix algebras 117--142
Harry Yserentant Particles of variable size . . . . . . . 143--159
Harry Yserentant Entropy generation and shock resolution
in the particle model of compressible
fluids . . . . . . . . . . . . . . . . . 161--177
Dietrich Braess and
Wolfgang Dahmen A cascadic multigrid algorithm for the
Stokes equations . . . . . . . . . . . . 179--191
P. Ciarlet, Jr. and
Jun Zou Fully discrete finite element approaches
for time-dependent Maxwell's equations 193--219
Michael S. Floater and
Ewald G. Quak Piecewise linear prewavelets on
arbitrary triangulations . . . . . . . . 221--252
Ralf Hiptmair and
Ronald H. W. Hoppe Multilevel methods for mixed finite
elements in three dimensions . . . . . . 253--279
Petr Klou\vcek The relaxation of non-quasiconvex
variational integrals . . . . . . . . . 281--311
Bernd Mulansky and
Jochen W. Schmidt Convex interval interpolation using a
three-term staircase algorithm . . . . . 313--337
Ji-guang Sun Backward errors for the inverse
eigenvalue problem . . . . . . . . . . . 339--349
Mark Ainsworth and
David Kay The approximation theory for the
$p$-version finite element method and
application to non-linear elliptic PDEs 351--388
H. Brass and
J.-W. Fischer Error bounds for Romberg quadrature . . 389--408
Panagiotis Chatzipantelidis A finite volume method based on the
Crouzeix--Raviart element for elliptic
PDE's in two dimensions . . . . . . . . 409--432
P. Houston and
J. A. Mackenzie and
E. Süli and
G. Warnecke A posteriori error analysis for
numerical approximations of Friedrichs
systems . . . . . . . . . . . . . . . . 433--470
C. Palencia Backward Euler method for abstract
time-dependent parabolic equations with
variable domains . . . . . . . . . . . . 471--490
Xiulin Zou Analysis of the quasi-Laguerre method 491--519
Georgios Akrivis and
Michel Crouzeix and
Charalambos Makridakis Implicit-explicit multistep methods for
quasilinear parabolic equations . . . . 521--541
Randolph E. Bank and
Christian Wagner Multilevel ILU decomposition . . . . . . 543--576
Carsten Carstensen Numerical analysis of the primal problem
of elastoplasticity with hardening . . . 577--597
Lars Eldén and
Haesun Park A Procrustes problem on the Stiefel
manifold . . . . . . . . . . . . . . . . 599--619
G. Fdez-Manín and
R. Muñoz-Sola Error estimates for the patching method
in the bidimensional case . . . . . . . 621--634
Ana B. González and
Pablo Martín and
José M. Farto A new family of Runge--Kutta type
methods for the numerical integration of
perturbed oscillators . . . . . . . . . 635--646
C. Grossmann and
A. Ismail Parameter selection rules for
path-following with singular embedding 647--675
T. Morita Calculation of the elliptic integrals of
the first and second kinds with complex
modulus . . . . . . . . . . . . . . . . 677--688
G. E. Alefeld and
X. Chen and
F. A. Potra Numerical validation of solutions of
linear complementarity problems . . . . 1--23
Susanne C. Brenner and
Li-yeng Sung Balancing domain decomposition for
nonconforming plate elements . . . . . . 25--52
C. Brezinski and
M. Redivo Zaglia and
H. Sadok New look-ahead Lanczos-type algorithms
for linear systems . . . . . . . . . . . 53--85
S. B. Damelin and
Kai Diethelm Interpolatory product quadratures for
Cauchy principal value integrals with
Freud weights . . . . . . . . . . . . . 87--105
Steinar Evje and
Kenneth Hvistendahl Karlsen Viscous splitting approximation of mixed
hyperbolic-parabolic
convection-diffusion equations . . . . . 107--137
Qi-nian Jin and
Zong-yi Hou On an a posteriori parameter choice
strategy for Tikhonov regularization of
nonlinear ill-posed problems . . . . . . 139--159
Ilya D. Mishev Finite volume element methods for
non-definite problems . . . . . . . . . 161--175
Anonymous Publications in the Directory ONLINE
First . . . . . . . . . . . . . . . . . 177--177
Folkmar A. Bornemann and
Christof Schütte Adaptive accuracy control for
Car--Parrinello simulations . . . . . . 179--186
Susanne C. Brenner The condition number of the Schur
complement in domain decomposition . . . 187--203
Thomas K. DeLillo and
Mark A. Horn and
John A. Pfaltzgraff Numerical conformal mapping of multiply
connected regions by Fornberg-like
methods . . . . . . . . . . . . . . . . 205--230
Howard C. Elman and
Dianne P. O'Leary Eigenanalysis of some preconditioned
Helmholtz problems . . . . . . . . . . . 231--257
Andreas Frommer and
Daniel B. Szyld Weighted max norms, splittings, and
overlapping additive Schwarz iterations 259--278
M. Griebel and
P. Oswald and
T. Schiekofer Sparse grids for boundary integral
equations . . . . . . . . . . . . . . . 279--312
G. W. Stewart Four algorithms for the efficient
computation of truncated pivoted $QR$
approximations to a sparse matrix . . . 313--323
Michel Chipot The appearance of microstructures in
problems with incompatible wells and
their numerical approach . . . . . . . . 325--352
Jim Douglas, Jr. and
Chieh-Sen Huang and
Felipe Pereira The modified method of characteristics
with adjusted advection . . . . . . . . 353--369
Nicola Guglielmi and
Ernst Hairer Order stars and stability for delay
differential equations . . . . . . . . . 371--383
Martin Hanke and
Curtis R. Vogel Two-level preconditioners for
regularized inverse problems I: Theory 385--402
Marlis Hochbruck and
Christian Lubich A Gautschi-type method for oscillatory
second-order differential equations . . 403--426
G. Kossioris and
Ch. Makridakis and
P. E. Souganidis Finite volume schemes for
Hamilton--Jacobi equations . . . . . . . 427--442
Alexander N. Malyshev A formula for the $2$-norm distance from
a matrix to the set of matrices with
multiple eigenvalues . . . . . . . . . . 443--454
K. Segeth A posteriori error estimation with the
finite element method of lines for a
nonlinear parabolic equation in one
space dimension . . . . . . . . . . . . 455--475
Zai-jiu Shang KAM theorem of symplectic algorithms for
Hamiltonian systems . . . . . . . . . . 477--496
Ian H. Sloan and
Wolfgang L. Wendland Spline qualocation methods for
variable-coefficient elliptic equations
on curves . . . . . . . . . . . . . . . 497--533
D. Calvetti and
L. Reichel and
Q. Zhang Iterative exponential filtering for
large discrete ill-posed problems . . . 535--556
N. Calvo and
J. Durany and
C. Vázquez Numerical approach of temperature
distribution in a free boundary model
for polythermal ice sheets . . . . . . . 557--580
Yu-hong Dai and
Ya-xiang Yuan Global convergence of the method of
shortest residuals . . . . . . . . . . . 581--598
Luca Dieci and
Erik S. Van Vleck Computation of orthonormal factors for
fundamental solution matrices . . . . . 599--620
Chun-Hua Guo Incomplete block factorization
preconditioning for indefinite elliptic
problems . . . . . . . . . . . . . . . . 621--639
Norbert Heuer and
Matthias Maischak and
Ernst P. Stephan Exponential convergence of the
$hp$-version for the boundary element
method on open surfaces . . . . . . . . 641--666
Dominik Schötzau and
Christoph Schwab and
Rolf Stenberg Mixed $hp$-FEM on anisotropic meshes II:
Hanging nodes and tensor products of
boundary layer meshes . . . . . . . . . 667--697
K. Veseli\'c A note on the pivoted symmetric $LR$
iteration . . . . . . . . . . . . . . . 699--702
T. N. T. Goodman and
S. L. Lee Convergence of nonstationary cascade
algorithms . . . . . . . . . . . . . . . 1--33
J. M. Melenk Operator adapted spectral element
methods I: harmonic and generalized
harmonic polynomials . . . . . . . . . . 35--69
P. Mortreux and
M. Prévost On totally monotonic families of
sequences . . . . . . . . . . . . . . . 71--96
Joachim Schöberl Multigrid methods for a parameter
dependent problem in primal variables 97--119
Takuya Tsuchiya An application of the Kantorovich
theorem to nonlinear finite element
analysis . . . . . . . . . . . . . . . . 121--141
Barbara I. Wohlmuth A residual based error estimator for
mortar finite element discretizations 143--171
Faker Ben Belgacem The Mortar finite element method with
Lagrange multipliers . . . . . . . . . . 173--197
Ernst Hairer Backward error analysis for multistep
methods . . . . . . . . . . . . . . . . 199--232
Toshiyuki Koto Stability of Runge--Kutta methods for
the generalized pantograph equation . . 233--247
Mats G. Larson and
A. Jonas Niklasson Adaptive multilevel finite element
approximations of semilinear elliptic
boundary value problems . . . . . . . . 249--274
E. Maitre and
P. Witomski Transport equation with boundary
conditions for free surface localization 275--303
I. Perugia A mixed formulation for 3D magnetostatic
problems: theoretical analysis and
face-edge finite element approximation 305--326
C. Pflaum and
A. Zhou Error analysis of the combination
technique . . . . . . . . . . . . . . . 327--350
Norbert Heuer Erratum: ``An iterative substructuring
method for the $p$-version of the
boundary element method for
hypersingular integral operators in
three dimensions'' Numer. Math. (1998)
79: 371--396 . . . . . . . . . . . . . . 793--794
R. Pytlak Comments on ``Global convergence of the
method of shortest residuals'' by Y. Dai
and Y. Yuan . . . . . . . . . . . . . . 319--321