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Anonymous Editorial Board . . . . . . . . . . . . i--i
J. T. Oden Preface . . . . . . . . . . . . . . . . iii--iii
Richard E. Ewing On efficient time-stepping methods for
nonlinear partial differential equations 1--13
Richard Franke and
David Salinas An efficient method for solving stiff
transient field problems arising from
FEM formulations . . . . . . . . . . . . 15--21
Myron Ginsberg Monitoring Floating-Point Error
Propagation in Scientific Computation 23--43
Linda J. Hayes An alternating-direction collocation
method for finite element approximations
on rectangles . . . . . . . . . . . . . 45--50
V. M. Kovenya The implicit difference scheme for
numerical solving the equations of gas
dynamics . . . . . . . . . . . . . . . . 51--59
H. N. Lee and
R. E. Meyers On time dependent multi-grid numerical
technique . . . . . . . . . . . . . . . 61--65
J. W. Neuberger A type-independent iterative method for
systems of nonlinear partial
differential equations: Application to
the problem of transonic flow . . . . . 67--78
B. Prasad Variable penalty methods for constrained
minimization . . . . . . . . . . . . . . 79--97
Michael E. Rose Numerical methods for flows through
porous media --- II . . . . . . . . . . 99--122
B. Yu. Scobelev and
Yu. I. Molorodov Subcritical autooscillations and
nonlinear neutral curve for Poiseuille
flow . . . . . . . . . . . . . . . . . . 123--133
P-T. D. Spanos Numerical simulations of a van der Pol
oscillator . . . . . . . . . . . . . . . 135--145
P. E. Zadunaisky and
G. Lafferriere On an iterative improvement of the
approximate solution of some ordinary
differential equations . . . . . . . . . 147--154
E. H. Kaufman, Jr. and
D. J. Leeming and
G. D. Taylor A combined Remes-differential correction
algorithm for rational approximation:
experimental results . . . . . . . . . . 155--160
John S. McMath and
S. E. Sims and
C. R. Hallum A comparison of various derivatives for
matrix valued functions . . . . . . . . 161--166
John M. Gersting, Jr. Numerical methods for eigensystems: the
Orr--Sommerfeld problem as an initial
value problem . . . . . . . . . . . . . 167--174
I. Norman Katz and
Leon Cooper Optimal location on a sphere . . . . . . 175--196
R. A. Usmani and
S. A. Warsi Quintic spline solutions of boundary
value problems . . . . . . . . . . . . . 197--203
R. A. Usmani and
S. A. Warsi Smooth spline solutions for boundary
value problems in plate deflection
theory . . . . . . . . . . . . . . . . . 205--211
G. S. Guram and
A. C. Smith Stagnation flows of micropolar fluids
with strong and weak interactions . . . 213--233
M. Anwar and
G. S. Guram Numerical solution of a micropolar flow
between a rotating and a stationary disc 235--245
C. C. Travis and
Glen Haddock Estimating system equilibrium from
response to an input of short duration 247--249
Steven M. Serbin On the construction and analysis of
approximations of arbitrarily high-order
for proportionally-damped second order
systems . . . . . . . . . . . . . . . . 251--263
George J. Fix and
Max D. Gunzburger On numerical methods for acoustic
problems . . . . . . . . . . . . . . . . 265--278
Irene Gargantini Parallel Square-Root Iterations for
Multiple Roots . . . . . . . . . . . . . 279--288
Ron Shonkwiler On age-dependent branching processes
with immigration . . . . . . . . . . . . 289--296
N. Metropolis Summation of imprecise numbers . . . . . 297--299
Beny Neta On three inequalities . . . . . . . . . 301--304
Luc Devroye Generating the maximum of independent
identically distributed random variables 305--315
Richard S. Bucy and
Kenneth D. Senne Nonlinear filtering algorithms for
vector processing machines . . . . . . . 317--338
S. McKee and
H. Brunner The repetition factor and numerical
stability of Volterra integral equations 339--347
G. R. Dunlop A rapid computational method for
improvements to nearest neighbour
interpolation . . . . . . . . . . . . . 349--353
William W. Lau On nodal blocking of a retransmitted
packet in a computer communication
network . . . . . . . . . . . . . . . . 355--371
Labib Iskandar and
Padam C. Jain Numerical solution of equations having
inelastic solitary wave interaction . . 373--383
J. F. Traub and
H. Wo\'zniakowski Convergence and complexity of
interpolatory-newton iteration in a
Banach space . . . . . . . . . . . . . . 385--400
G. Thomas The consistence error of extended
variational principles in the finite
element method . . . . . . . . . . . . . 401--409
N. D. Francis Computation of generalised inverse of a
special class of matrices . . . . . . . 411--413
Dominic G. B. Edelen Programs for computer implementation of
the exterior calculus with applications
to isovector calculations . . . . . . . 415--424
D. Asztalos Optimal control of finite source
priority queues with computer system
applications . . . . . . . . . . . . . . 425--431
J. M. Trojan Tight bounds on the complexity index of
one-point iterations . . . . . . . . . . 433--441
P. K. Bhattacharyya and
G. T. Symm A novel formulation and solution of the
plane elastostatic displacement problem 443--448
Anonymous Announcement . . . . . . . . . . . . . . 449--449
Anonymous Editorial Board . . . . . . . . . . . . iii--iii
Eva Bozoki An algorithm for programming function
generators . . . . . . . . . . . . . . . 1--5
Y. Beaudoin and
M. A. H. Nerenberg Computer codes for computational
assistance in the study of asymptotic
stability . . . . . . . . . . . . . . . 7--16
Yaakov Yavin and
Alida M. Jordaan Optimal controls that maximize the
probability of hitting a moving target 17--26
Charles G. Speziale and
A. C. Eringen Nonlocal fluid mechanics description of
wall turbulence . . . . . . . . . . . . 27--41
A. Bermúdez and
C. Moreno Duality methods for solving variational
inequalities . . . . . . . . . . . . . . 43--58
Lois Mansfield On mixed finite element methods for
elliptic equations . . . . . . . . . . . 59--66
M. Sharir A strong-connectivity algorithm and its
applications in data flow analysis . . . 67--72
V. Ya. Pan New combinations of methods for the
acceleration of matrix multiplications 73--125
P. Neittaanmäki and
R. Picard On the finite element method for
time-harmonic acoustic boundary value
problems . . . . . . . . . . . . . . . . 127--138
Y. M. Haddad Numerical analysis in nonlinear
viscoelasticity . . . . . . . . . . . . 139--145
William Squire In defense of linear quadrature rules 147--149
D. J. Evans Alternating direction implicit
preconditioning methods for self adjoint
elliptic differential equations . . . . 151--158
A. M. Ballantyne and
D. S. Lankford New decision algorithms for finitely
presented commutative semigroups . . . . 159--165
Tamás F. Móri On the asymptotic network delay in a
model of packet switching . . . . . . . 167--172
M. Arató and
A. Benczúr Dynamic placement of records and the
classical occupancy problem . . . . . . 173--185
James R. Evans The multicommodity assignment problem: a
network aggregation heuristic . . . . . 187--194
Ding Lee and
Stanley Preiser Generalized Adams methods for solving
underwater wave propagation problems . . 195--202
M. A. Gatto and
J. B. Seery Numerical evaluation of the modified
Bessel functions $I$ and $K$ . . . . . . 203--209
Roger L. Wainwright Three dimensional $x$-projection method
(with acceleration techniques) for
solving systems of linear equations . . 211--223
Leon Cooper and
I. Norman Katz The Weber problem revisited . . . . . . 225--234
H. Mukai Parallel algorithms for solving systems
of nonlinear equations . . . . . . . . . 235--250
David Avis Worst case bounds for the Euclidean
matching problem . . . . . . . . . . . . 251--257
Jenifer Haselgrove and
S. M. Selim A comparison of bounds for the chromatic
number of a graph . . . . . . . . . . . 259--260
Vassilios A. Dougalis and
Steven M. Serbin On the efficiency of some fully discrete
Galerkin methods for second-order
hyperbolic equations . . . . . . . . . . 261--279
Anonymous Obituary . . . . . . . . . . . . . . . . 281--283
K. Ozawa Estimation for the mean and the variance
of the round-off error . . . . . . . . . 285--291
Micha Sharir A strange sorting method inspired by
formal differentiation . . . . . . . . . 293--298
Luc Devroye How to reduce the average complexity of
convex hull finding algorithms . . . . . 299--308
Alkiviadis G. Akritas Vincent's forgotten theorem, its
extension and application . . . . . . . 309--317
Cathleen Synge Morawetz A formulation for higher dimensional
inverse problems for the wave equation 319--331
Patrick Brezillon and
Jean-François Staub and
Anne-Marie Perault-Staub and
Gérard Milhaud Numerical estimation of the first order
derivative: approximate evaluation of an
optimal step . . . . . . . . . . . . . . 333--347
David I. Steinberg Book Review: \booktitleComputer
modelling in agriculture: By N. R.
Brockington. Clarendon Press, Oxford,
England 1979. 156pp. (\pounds 8.95 net
in U.K.) . . . . . . . . . . . . . . . . 349--349
David I. Steinberg Book Review: \booktitleOptimal
strategies in sports: Edited by Shaul P.
Ladany and Robert E. Machol.
North-Holland, Amsterdam 1977. 231 pp.
\$20 (Dfl. 50.00)} . . . . . . . . . . . 349--350
David I. Steinberg Book Review: \booktitleAlgorithms for
network programming: By Jeff L.
Kennington and Richard V. Helgason.
Wiley--Interscience, New York 1980. 291
pp., \$23.50} . . . . . . . . . . . . . 350--350
David I. Steinberg Book Review: \booktitleHome computers: $
2^{10} $ questions and answers. vol. 1:
hardware and vol. 2: software: By Rich
Didday, Dilithium Press (Distributed by
ISBS, Inc., P.O. Box 555, Forest Grove,
OR 97116, U.S.A.) 1977. Vol. 1, 255pp +
appendices, \$7.95, Vol. 2, 175pp +
appendices, \$6.95, Both Soft Cover . . 350--351
Anonymous Books received . . . . . . . . . . . . . 353--353
Edward W. Ng Simplification of multiple Fourier
series: an example of algorithmic
approach . . . . . . . . . . . . . . . . 355--359
C. F. Chen and
K. K. Leung A new look at partial fraction expansion
from a high-level language viewpoint . . 361--367
J. F. Mahoney and
B. D. Sivazlian Computation of stock-outs in a
multi-installation inventory system . . 369--386
Allan Reiman Computer-Aided Closure of the Lie
Algebra Associated with a Nonlinear
Partial Differential Equation . . . . . 387--393
Edgar A. Cohen, Jr. A note on normal functions of normal
random variables . . . . . . . . . . . . 395--400
D. J. Rodabaugh and
S. Thompson A note on the relative efficiency of
Adams methods . . . . . . . . . . . . . 401--403
G. H. Worm and
C. D. Fiskeaux and
P. S. Wludyka A computational form for finding the
integral solutions to a system of linear
equations . . . . . . . . . . . . . . . 405--406
Luc Devroye On the average complexity of some
bucketing algorithms . . . . . . . . . . 407--412
K. Allen and
S. Mckee Fixed step discretisation methods for
delay differential equations . . . . . . 413--423
Kevin Karplus A proof of the isomorphism of $ w x y
z$-transformals and $ 2 \times 2$
integer matrices . . . . . . . . . . . . 425--430
V. Ya. Pan The bit-operation complexity of matrix
multiplication and of all pair shortest
path problem . . . . . . . . . . . . . . 431--438
Yudell L. Luke Solution of second order difference
equations via the $ \tau $-method . . . 439--445
C. A. Asmuth and
G. R. Blakley An efficient algorithm for constructing
a cryptosystem which is harder to break
than two other cryptosystems . . . . . . 447--450
W. H. Presler and
R. Broucke Computerized formal solutions of
dynamical systems with two degrees of
freedom and an application to the
Contopoulos potential --- I: the exact
resonance case . . . . . . . . . . . . . 451--471
W. H. Presler and
R. Broucke Computerized formal solutions of
dynamical systems with two degrees of
freedom and an application to the
Contopoulos potential --- II: the
near-resonance case . . . . . . . . . . 473--485
R. Sacks-Davis and
L. F. Shampine A type-insensitive ODE code based on
second derivative formulas . . . . . . . 487--495
Bart Rice The $0$--$1$ Integer Programming Problem
in a finite ring with identity . . . . . 497--502
M. Andrews and
D. Jaeger and
S. F. McCormick and
G. D. Taylor Evaluation of Functions on
Microcomputers: $ \exp (x) $ . . . . . . 503--508
Y. Yavin and
A. Venter Optimal control of stochastic systems
with interrupted observations . . . . . 509--525
Jamer E. Kiefer and
George H. Weiss A comparison of two methods for
accelerating the convergence of Fourier
series . . . . . . . . . . . . . . . . . 527--535
Carl Geiszler A numerical procedure for the selection
of the constant interarrival time to a
single server queue . . . . . . . . . . 537--546
Luc Devroye On the computer generation of random
variables with a given characteristic
function . . . . . . . . . . . . . . . . 547--552
Elias A. Lipitakis and
David J. Evans Normalized implicit methods for the
solution of non-linear elliptic boundary
value problems . . . . . . . . . . . . . 553--562
Anonymous Editorial Board . . . . . . . . . . . . i--i
Luc Devroye On the computer generation of random
convex hulls . . . . . . . . . . . . . . 1--13
Apostolos Gerasoulis The use of piecewise quadratic
polynomials for the solution of singular
integral equations of Cauchy type . . . 15--22
V. Ya. Pan Trilinear aggregating with implicit
canceling for a new acceleration of
matrix multiplication . . . . . . . . . 23--34
J. T. Oden and
S. J. Kim Interior penalty methods for finite
element approximations of the Signorini
problem in elastostatics . . . . . . . . 35--56
Leszek Demkowicz On some results concerning the
reciprocal formulation for the
Signorini's problem . . . . . . . . . . 57--74
H. C. Williams The influence of computers in the
development of number theory . . . . . . 75--93
Abraham Ungar A note on Ranger's line rotelet near a
plane . . . . . . . . . . . . . . . . . 95--102
H. C. Murrell and
Abraham Ungar From Cagniard's method for solving
seismic pulse problems to the method of
the differential transform . . . . . . . 103--118
Zahari Zlatev Comparison of two pivotal strategies in
sparse plane rotations . . . . . . . . . 119--135
V. Pan The bit-operation complexity of
approximate evaluation of matrix and
polynomial products using modular
arithmetic . . . . . . . . . . . . . . . 137--140
E. L. Lusk and
Ross A. Overbeek Experiments with resolution-based
theorem-proving algorithms . . . . . . . 141--152
David Avis and
Godfried T. Toussaint and
Binay K. Bhattacharya On the multimodality of distances in
convex polygons . . . . . . . . . . . . 153--156
D. J. Evans and
S. O. Okolie A quotient-difference algorithm for the
determination of eigenvalues of periodic
tridiagonal matrices . . . . . . . . . . 157--164
Creon Levit Book Review: \booktitleProgrammable
calculators, how to use them: By Roger
J. Sippl and Charles J. Sippl. Matrix
Publishers, Champaign Illinois 1978.
approx 148 figures, 526 pp., ISBN
0-916460-08-8, hard cover. Price
\$15.95} . . . . . . . . . . . . . . . . 165--165
John Thomas Love Book Review: \booktitleA programming
logic: by Robert L. Constable and
Michael J. O'Donnell. Winthrop
Publishers, Cambridge, Mass. 1978. 398
pp. \$15.96} . . . . . . . . . . . . . . 165--166
Max D. Gunzburger and
R. A. Nicolaides and
Janet S. Peterson On conforming mixed finite element
methods for incompressible viscous flow
problems . . . . . . . . . . . . . . . . 167--179
S. A. Burr Computing cube roots when a fast square
root is available . . . . . . . . . . . 181--183
Eugenio G. Omodeo The linked conjunct method for automatic
deduction and related search techniques 185--203
A. V. Aho and
A. D. Wyner and
M. Yannakakis and
J. D. Ullman Bounds on the size and transmission rate
of communications protocols . . . . . . 205--214
Dale Woods and
Joel Huenemann Larger Carmichael numbers . . . . . . . 215--216
Jan G. Verwer Instructive experiments with some
Runge--Kutta--Rosenbrock methods . . . . 217--229
Simeon Ola. Fatunla Nonlinear multistep methods for initial
value problems . . . . . . . . . . . . . 231--239
Charles J. Colbourn Book Review: \booktitleElements of the
theory of computation: By H. R. Lewis
and C. H. Papadimitriou. Prentice--Hall,
Englewood Cliffs, New Jersey 1981. 466
pp. . . . . . . . . . . . . . . . . . . 241--241
Mark A. Shayman Book Review: \booktitleGeometrical
methods for the theory of linear
systems: Edited by C. I. Byrnes and C.
F. Martin. D. Reidel, Dordrecht, 1980.
\$39.50} . . . . . . . . . . . . . . . . 241--242
Anonymous Books received . . . . . . . . . . . . . 243--243
Michel Bercovier On $ c^0 $ beam elements with shear and
their corresponding penalty function
formulation . . . . . . . . . . . . . . 245--256
M. Yachter On the existence of periodic solutions
of the D.E.: $ \ddot \chi + F(\chi) =
\epsilon f(\chi \dot \chi, t; \epsilon),
\ldots {} (1) $ . . . . . . . . . . . . 257--271
Richard Franke Smooth interpolation of scattered data
by local thin plate splines . . . . . . 273--281
Joseph E. Pasciak An iterative algorithm for the volume
integral method for magnetostatics
problems . . . . . . . . . . . . . . . . 283--290
H. M. Jones and
S. McKee The numerical stability of multistep
methods for convolution Volterra
integral equations: Nonsingular
equations . . . . . . . . . . . . . . . 291--303
R. Piessens and
Maria Branders Approximation for Bessel functions and
their application in the computation of
Hankel transforms . . . . . . . . . . . 305--311
Witold F. Krajewski The sequential problem under
uncertainty: the development of water
systems . . . . . . . . . . . . . . . . 313--318
Irene Gargantini Detection of connectivity for regions
represented by linear quadtrees . . . . 319--327
Roger L. Wainwright Four dimensional x-projection method
(with acceleration techniques) for
solving systems of linear equations . . 329--337
K. V. S. Bhat On the properties of arbitrary
hypercubes . . . . . . . . . . . . . . . 339--342
V. Pan Fast matrix multiplication without
APA-algorithms . . . . . . . . . . . . . 343--366
Shahid H. Bokhari and
M. Yousuff Hussaini and
Steven A. Orszag Fast orthogonal derivatives on the star 367--377
R. Alt and
J. Vignes Stabilizing Bairstow's method . . . . . 379--387
S. F. McCormick and
G. D. Taylor and
D. V. Pryor Evaluation of Functions on
Microcomputers: $ \ln (x) $ . . . . . . 389--392
G. J. Fix and
G. Liang and
D. N. Lee Penalty-hybrid finite element method . . 393--399
Warren E. Ferguson, Jr. A simple derivation of Glassman's
general $N$ Fast Fourier Transform . . . 401--411
B. Prasad A hybrid variable penalty method for
nonlinear programming . . . . . . . . . 413--424
R. W. Lardner and
M. S. Belen and
H. M. Cekirge Finite difference model for tidal flows
in the Arabian Gulf . . . . . . . . . . 425--444
Annie A. M. Cuyt Padé-approximants in operator theory for
the solution of nonlinear differential
and integral equations . . . . . . . . . 445--466
Benjamin Milder The Golem . . . . . . . . . . . . . . . 467--467
David I. Steinberg Book Review: \booktitleProceedings of
the International Symposium on Optimum
Structural Design: (The 11th Naval
Structural Mechanics Symposium). 587 pp.
Price: \$40, postage paid (U.S. only);
\$47 prepaid, surface mail (Foreign).
Office of Special Professional
Education, Harvill Building, University
of Arizona, Tucson, AZ 85721 . . . . . . 469--469
Anonymous Editorial Board . . . . . . . . . . . . iii
Nick Cercone Preface . . . . . . . . . . . . . . . . v--v
David J. Israel Interpreting network formalisms . . . . 1--13
Raymond Reiter and
Giovanni Criscuolo Some representational issues in default
reasoning . . . . . . . . . . . . . . . 15--27
John F. Sowa Generating language from conceptual
graphs . . . . . . . . . . . . . . . . . 29--43
Richard I. Kittredge Semantic processing of texts in
restricted sublanguages . . . . . . . . 45--58
Abe Lockman and
David Klappholz The control of inferencing in natural
language understanding . . . . . . . . . 59--70
Candace L. Sidner What the speaker means: the recognition
of speakers' plans in discourse . . . . 71--82
J. G. Meunier and
F. Lepage Formal semantic and computer text
processing, 1982 . . . . . . . . . . . . 83--95
James F. Allen Argot: a system overview . . . . . . . . 97--109
David D. McDonald Description directed control: Its
implications for natural language
generation . . . . . . . . . . . . . . . 111--129
Gerald F. DeJong and
David L. Waltz Understanding novel language . . . . . . 131--147
Lotfi A. Zadeh A computational approach to fuzzy
quantifiers in natural languages . . . . 149--184
William S. Havens Recognition mechanisms for schema-based
knowledge representations . . . . . . . 185--199
Gordon I. McCalla An approach to the organization of
knowledge and its use in natural
language recall tasks . . . . . . . . . 201--214
Nick Cercone and
Max Krause and
John Boates Minimal and Almost Minimal Perfect Hash
Function Search with Application to
Natural Language Lexicon Design . . . . 215--231
Bonnie Webber and
Aravind Joshi and
Eric Mays and
Kathleen McKeown Extended natural language data base
interactions . . . . . . . . . . . . . . 233--244
L. F. Shampine and
L. S. Baca and
H.-J. Bauer Output in extrapolation codes . . . . . 245--255
J. R. Cash A variable order deferred correction
algorithm for the numerical solution of
nonlinear two point boundary value
problems . . . . . . . . . . . . . . . . 257--265
A. O. L. Atkin and
L. Hay and
R. G. Larson Enumeration and construction of
pandiagonal Latin squares of prime order 267--292
H. Rohdin Numerical modeling of a moving boundary
diffusion/drift problem . . . . . . . . 293--305
Matyas Arato Probability bounds and asymptotic
properties of error propagation . . . . 307--310
George B. Purdy A carry-free algorithm for finding the
greatest common divisor of two integers 311--316
M. Peter Jurkat Error analysis of Aitken's $ \Delta^2 $
process . . . . . . . . . . . . . . . . 317--322
Matthew Witten Foreword . . . . . . . . . . . . . . . . vii--viii
Matthew Witten Hyperbolic partial differential
equations: a few opening comments . . . 323--325
Jan Prüss On the qualitative behaviour of
populations with age-specific
interactions . . . . . . . . . . . . . . 327--339
R. C. MacCamy Simple population models with diffusion 341--344
Fred Brauer Nonlinear age-dependent population
growth under harvesting . . . . . . . . 345--352
Eugenio Sinestrari Local and global stability for the
solutions of a nonlinear renewal
equation . . . . . . . . . . . . . . . . 353--359
Pierangelo Marcati Some considerations on the mathematical
approach to nonlinear age dependent
population dynamics . . . . . . . . . . 361--370
Richard H. Elderkin Population models with globally
age-dependent dynamics: on computing the
steady state . . . . . . . . . . . . . . 371--376
Gabriella Di Blasio Asymptotic behavior of an age-structured
fish population . . . . . . . . . . . . 377--381
Lea Murphy Density dependent cellular growth in an
age structured colony . . . . . . . . . 383--392
Richard M. Feldman and
Guy L. Curry A PDE formulation and numerical solution
for a boll weevil-cotton crop model . . 393--402
Daniel S. Levine Models of age-dependent predation and
cannibalism via the McKendrick equation 403--414
K. P. Hadeler and
K. Dietz Nonlinear hyperbolic partial
differential equations for the dynamics
of parasite populations . . . . . . . . 415--430
Gustaf Gripenberg Stability analysis of a distributed
parameter model for the growth of
micro-organisms . . . . . . . . . . . . 431--442
G. Adomian Partial differential equations with
integral boundary conditions . . . . . . 443--445
Matthew Witten On stochasticity in the Von Foerster
hyperbolic partial differential equation
system: Further applications to the
modeling of an asynchronously dividing
cellular system . . . . . . . . . . . . 447--457
J. M. Cushing Bifurcation of time periodic solutions
of the McKendrick equations with
applications to population dynamics . . 459--478
R. Kannan and
V. Lakshmikantham Periodic solutions of nonlinear
hyperbolic problems . . . . . . . . . . 479--486
G. F. Webb The semigroup associated with nonlinear
age dependent population dynamics . . . 487--497
James C. Frauenthal and
Kenneth E. Swick Stability of biochemical reaction tanks 499--506
G. F. D. Duff A special ADI model for the Laplace
tidal equations . . . . . . . . . . . . 507--517
W. E. Fitzgibbon Initial boundary value problems for the
Carleman equation . . . . . . . . . . . 519--525
Bernard D. Coleman and
David R. Owen On the nonequilibrium behavior of solids
that transport heat by second sound . . 527--546
Richard Bellman Nonlinear hyperbolic partial
differential equations and dynamic
programming . . . . . . . . . . . . . . 547--548
Charlie Dey and
Suhrit K. Dey Explicit finite difference predictor and
convex corrector with applications to
hyperbolic partial differential
equations . . . . . . . . . . . . . . . 549--557
William J. Layton Stable and unstable numerical boundary
conditions for Galerkin approximations
to hyperbolic systems . . . . . . . . . 559--566
G. R. Blakley and
I. Borosh Modular arithmetic of iterated powers 567--581
E. Loukakis A new backtracking algorithm for
generating the family of maximal
independent sets of a graph . . . . . . 583--589
A. K. Mitra and
Paul Nelson An eigenlength problem arising from a
model of patch formation . . . . . . . . 591--593
I. B. Ech-Charif Overall smoothing of first and second
derivatives of known functions in a set
of points scattered through a domain in
the plane $ (R^2) $ . . . . . . . . . . 595--608
A. A. Zenkin Some extensions of Pall's theorem . . . 609--615
Annie Cuyt and
Paul van der Cruyssen Abstract Padé-approximants for the
solution of a sytem of nonlinear
equations . . . . . . . . . . . . . . . 617--624
Erica Jen and
Erica Jen and
R. P. Srivastav Solving singular integral equations
using Gaussian quadrature and
overdetermined systems . . . . . . . . . 625--632
Vasant A. Ubhaya Linear time algorithms for convex and
monotone approximation . . . . . . . . . 633--643
J. R. Cash The integration of stiff initial value
problems in ODEs using modified extended
backward differentiation formulae . . . 645--657
Yudell L. Luke and
Bing Y. Ting and
Jet Wimp Solution of the difference equation for
Gauss' hypergeometric function by use of
the tau method . . . . . . . . . . . . . 659--668
Jet Wimp Irreducible recurrences and
representation theorems for $_3 F_2 (1)$ 669--678
Robert Kalaba and
Asher Tishler and
Jia Song Wang Decell's finite algorithm for
generalized inverses and tests to
determine the rank of a matrix . . . . . 679--686
George J. Fix and
Max D. Gunzburger and
Janet S. Peterson On finite element approximations of
problems having inhomogeneous essential
boundary conditions . . . . . . . . . . 687--700
Anonymous Announcement and call for papers . . . . 701--701
Leang S. Shieh and
Yih T. Tsay and
R. E. Yates Block transformations of a class of
multivariable control systems to four
basic block companion forms . . . . . . 703--714
George B. Purdy A binary algorithm for solving $n$ by
$n$ systems of integer equations . . . . 715--719
A. C. Smith One-parameter Jacobi transformations of
sequences . . . . . . . . . . . . . . . 721--733
V. Ya. Pan The projective power method for the
algebraic eigenvalue problem . . . . . . 735--745
Godfried T. Toussaint The symmetric all-furthest- neighbor
problem . . . . . . . . . . . . . . . . 747--754
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Simeon O. Fatunla One leg multistep method for second
order differential equation . . . . . . 1--4
E. L. Ortiz and
H. Samara Numerical solution of partial
differential equations with variable
coefficients with an operational
approach to the tau method . . . . . . . 5--13
S. Kothari and
S. Lakshmivarahan On the concealability of messages by the
Williams public-key encryption scheme 15--24
Joel Berman and
Masao Mukaidono Enumerating fuzzy switching functions
and free Kleene algebras . . . . . . . . 25--35
Robert J. Martin and
Gary L. Mullen Reducing multinomial coefficients modulo
a prime power . . . . . . . . . . . . . 37--41
F. R. K. Chung On optimal linear arrangements of trees 43--60
P. d'Alessandro and
M. Dalla Mora Systems, memory, causality, evolution
and recursive equations . . . . . . . . 61--69
Herbert E. Salzer A generalization of Layman--Lotocki\uì
exponential interpolation . . . . . . . 71--75
Wilhelm Werner Newton-like methods for the computation
of fixed points . . . . . . . . . . . . 77--86
Reuven Chen Solution of location problems with
radial cost functions . . . . . . . . . 87--94
Anonymous Hyperbolic partial differential
equations . . . . . . . . . . . . . . . 95--95
Miodrag S. Petkovi\'c and
Lidija V. Stefanovi\'c The Numerical Stability of the
Generalized Root Iterations for
Polynomial Zeros . . . . . . . . . . . . 97--106
George H. Ellis and
Layne T. Watson A parallel algorithm for simple roots
for polynomials . . . . . . . . . . . . 107--121
J. R. Cash Diagonally implicit Runge--Kutta
formulae for the numerical integration
of nonlinear two-point boundary value
problems . . . . . . . . . . . . . . . . 123--137
Diran Sarafyan Continuous approximate solution of
ordinary differential equations and
their systems . . . . . . . . . . . . . 139--159
Robert Piessens The computation of Bessel functions on a
small computer . . . . . . . . . . . . . 161--166
D. J. Abel Comments on ``Detection of connectivity
for regions represented by linear
quadtrees'' . . . . . . . . . . . . . . 167--170
Elias A. Lipitakis Solving elliptic boundary-value problems
on parallel processors by approximate
inverse matrix semi-direct methods based
on the multiple explicit Jacobi
iteration . . . . . . . . . . . . . . . 171--184
T. Mahadeva Rao Conversion of Hensel Codes to rational
numbers . . . . . . . . . . . . . . . . 185--189
Ervin Y. Rodin Book reports . . . . . . . . . . . . . . 191--205
Y. Yavin The numerical solution of three
stochastic differential games . . . . . 207--234
P. Cherenack Conditions for cubic spline
interpolation on triangular elements . . 235--244
S. Balasundaram and
P. K. Bhattacharyya A mixed finite element method for fourth
order elliptic equations with variable
coefficients . . . . . . . . . . . . . . 245--256
Ding Lee and
Kenneth R. Jackson and
Stanley Preiser An improved implementation of
generalized Adams methods for underwater
wave propagation problems . . . . . . . 257--263
N. Pitcher and
S. McKee Two sided error bounds for
discretisation methods in special $q$ th
order ordinary differential equations 265--277
Mary W. Cooper and
Keyvan Farhangian A dynamic programming algorithm for
multiple-choice constraints . . . . . . 279--282
Paul Dierckx Computation of least-squares spline
approximations to data over incomplete
grids . . . . . . . . . . . . . . . . . 283--289
S. K. Jena and
M. N. Mathur Mixed convection flow of a micropolar
fluid from an isothermal vertical plate 291--304
Ervin Y. Rodin Book reports . . . . . . . . . . . . . . 305--314
H. Ford and
L. R. Hunt and
Renjeng Su A simple algorithm for computing
canonical forms . . . . . . . . . . . . 315--326
H. Kagiwada and
R. Kalaba and
N. Rasakhoo and
K. Spingarn Numerical experiments using Sukhanov's
initial-value method for nonlinear
two-point boundary value problems . . . 327--330
Ming-Liang Lin and
Ernst Leiss and
Bayliss McInnis Division and sign detection algorithms
for residue number systems . . . . . . . 331--342
S. C. Choi Two-stage sequential tests for
proportions and means with follow-up
period . . . . . . . . . . . . . . . . . 343--349
G. W. Wasilkowski Some nonlinear problems are as easy as
the approximation problem . . . . . . . 351--363
Vasant A. Ubhaya $O$ ( $n$ ) algorithms for discrete
$n$-point approximation by quasi-convex
functions . . . . . . . . . . . . . . . 365--368
J. V. Knop and
K. Szymanski and
N. Trinajsti\'c and
P. Krivka Computer generation of all $1$-factors
for a class of graphs with all vertices
of degree two or three . . . . . . . . . 369--382
P. G. Moschopoulos and
W. B. Canada The distribution function of a linear
combination of chi-squares . . . . . . . 383--386
M. L. Baart and
R. J. Y. McLeod Recursive calculation of curved finite
elements stiffness matrices . . . . . . 387--397
Ervin Y. Rodin Book reports . . . . . . . . . . . . . . 399--404
Anonymous Computational techniques and
applications conference . . . . . . . . iii--iii
A. H. Al-Rabeh A note on the Enright updating technique 405--411
G. Louchard The Brownian excursion area: a numerical
analysis . . . . . . . . . . . . . . . . 413--417
L. F. Shampine Stability of explicit Runge--Kutta
methods . . . . . . . . . . . . . . . . 419--432
Herbert E. Salzer Confluent general-factorial difference
and derivative operators and
polynomial-exponential interpolation . . 433--439
Huashu Qin On the controllability of a nonlinear
control system . . . . . . . . . . . . . 441--451
Eugene L. Wachspress Split-level iteration . . . . . . . . . 453--456
Eugene L. Wachspress Generalized ADI preconditioning . . . . 457--461
C. L. Cox and
G. J. Fix On the accuracy of least squares methods
in the presence of corner singularities 463--475
Anonymous Publisher's notice to authors and
subscribers . . . . . . . . . . . . . . 477--477
Anonymous Index . . . . . . . . . . . . . . . . . i--i
Anonymous Editorial Board . . . . . . . . . . . . iii--iii
Anonymous About this issue . . . . . . . . . . . . vii--vii
Anonymous Author's guidelines . . . . . . . . . . ix--ix
Matthew Witten Foreword . . . . . . . . . . . . . . . . xi--xii
Matthew Witten In memoriam . . . . . . . . . . . . . . xiii--xiii
ThomasL. Satty Partial differential equations: an
outline . . . . . . . . . . . . . . . . 1--4
T. Petrodulas and
R. Aris and
R. W. Carr Analysis of the counter-current
moving-bed chromatographic reactor . . . 5--34
Bernard D. Coleman On the cold drawing of polymers . . . . 35--65
R. Vichnevetsky and
E. C. Pariser High order numerical Sommerfeld boundary
conditions: Theory and experiments . . . 67--78
S. K. Dey An implicit numerical solver for
nonlinear hyperbolic partial
differential equations . . . . . . . . . 79--91
William Layton On the behavior over long time intervals
of finite difference and finite element
approximations to first order hyperbolic
systems . . . . . . . . . . . . . . . . 93--112
C. Begue and
O. Pironneau Hyperbolic systems with periodic
boundary conditions: an example with
Euler equations . . . . . . . . . . . . 113--128
Gary A. Sod A random choice method with application
to reaction-diffusion systems in
combustion . . . . . . . . . . . . . . . 129--144
D. J. Evans and
A. R. Abdullah A new explicit method for the
diffusion-convention equation . . . . . 145--154
K. Kunisch and
W. Schappacher and
G. F. Webb Nonlinear age-dependent population
dynamics with random diffusion . . . . . 155--173
J. M. Cushing Global branches of equilibrium solutions
of the McKendrick equations for
age-structured population growth . . . . 175--188
R. Grimmer and
J. Prüss On linear Volterra equations in Banach
spaces . . . . . . . . . . . . . . . . . 189--205
P. Marcati On a nonconservative huyperbolic system
describing the nonlinear age dependent
populations growth . . . . . . . . . . . 207--222
Michel Rascle The Riemann problem for a nonlinear
non-strictly hyperbolic system arising
in biology . . . . . . . . . . . . . . . 223--238
K. Kreith and
C. A. Swanson Kiguradze classes for characteristics
initial value problems . . . . . . . . . 239--247
V. Lakshmikantham and
S. G. Pandit Periodic solutions of hyperbolic partial
differential equations . . . . . . . . . 249--259
Frederick Bloom Systems of nonlinear hyperbolic
equations associated with problems of
classical electromagnatic theory . . . . 261--279
Richard Bellman and
Semyon M. Meerkov Simplified analysis of a hyperbolic
system . . . . . . . . . . . . . . . . . 281--282
G. Adomian and
G. E. Adomian Cellular systems and aging models . . . 283--291
Marvin Zeman Uniqueness of solutions to the
initial-value problem for partial
differential equations with multiple
characteristics . . . . . . . . . . . . 293--305
Peter A. McCoy Hyperbolic boundary value problems
arising from symmetric Poisson processes 307--313
R. C. MacCamy and
Eduardo Socolovsky A numerical procedure for the porous
media equation . . . . . . . . . . . . . 315--319
István Bencsik and
György Michaletzky Prediction and filtration of a partially
observed vector ARMA system of first
order . . . . . . . . . . . . . . . . . 321--328
Simeon Ola Fatunla One leg hybrid formulas for second-order
differential equations . . . . . . . . . 329--333
John W. Barrett and
Charles M. Elliott Fixed mesh finite element approximations
to a free boundary problem for an
elliptic equation with an oblique
derivative boundary condition . . . . . 335--345
M. Orlowski On the determination of all pairs of
symmetric furthest neighbor vertices of
a simple polygon . . . . . . . . . . . . 347--353
V. Pan Fast finite methods for a system of
linear inequalities . . . . . . . . . . 355--394
J. R. Cash Block embedded explicit Runge--Kutta
methods . . . . . . . . . . . . . . . . 395--409
Timothy N. Phillips and
Milton E. Rose A finite difference scheme for a class
of first-order elliptic partial
differential equations . . . . . . . . . 411--417
Ervin Y. Rodin Book Reports . . . . . . . . . . . . . . 419--420
Anonymous Editorial board . . . . . . . . . . . . ii--ii
Anonymous Preface . . . . . . . . . . . . . . . . v--v
Gordon McCalla and
Nick Cercone Techniques and issues in the design of
applied artificial intelligence systems 421--430
J. Glasgow and
R. Browse Programming languages for artificial
intelligence . . . . . . . . . . . . . . 431--448
Tom Bylander and
Sanjay Mittal and
B. Chandrasekaran CSRL: a language for expert systems for
diagnosis . . . . . . . . . . . . . . . 449--456
N. S. Sridharan and
J. L. Bresina Knowledge structures for planning in
realistic domains . . . . . . . . . . . 457--480
Robert F. Hadley Shadow: a natural language query
analyzer . . . . . . . . . . . . . . . . 481--504
Jay Glicksman Symbiosis in computational vision
systems . . . . . . . . . . . . . . . . 505--515
Marlene Jones (Colbourn) Applications of artificial intelligence
within education . . . . . . . . . . . . 517--526
Jon Sticklen and
B. Chadrasekaran and
J. W. Smith and
John Svirbely MDX--MYCIN: the MDX paradigm applied to
the mycin domain . . . . . . . . . . . . 527--539
Annie Cuyt and
Paul Van der Cruyssen Rounding error analysis for forward
continued fraction algorithms . . . . . 541--564
Abraham Ungar and
H. C. Murrell The differential transform and its
application to an electrostatics image
problem . . . . . . . . . . . . . . . . 565--572
Beny Neta and
Heng-Ming Tai $ L U $ factorization on parallel
computers . . . . . . . . . . . . . . . 573--579
Dimitri Hatziavramidis and
Hwar-Ching Ku An integral Chebyshev expansion method
for boundary-value problems of O.D.E.
type . . . . . . . . . . . . . . . . . . 581--586
John Scott Butler The statistical bias of numerically
integrated statistical procedures . . . 587--593
M. R. Farmer and
G. Loizou Locating multiple zeros interactively 595--603
J. R. Cash Adaptive Runge--Kutta methods for
nonlinear two-point boundary value
problems with mild boundary layers . . . 605--619
Eugene L. Wachspress Editor's introduction to
\booktitleAutomatic indexed calculation
of Wachspress' rational finite element
functions'' by G. R. Dalton . . . . . . 621--623
G. R. Dalton Automatic indexed calculation of
Wachspress' rational finite element
functions . . . . . . . . . . . . . . . 625--641
Anonymous Subject index . . . . . . . . . . . . . i--ii
Anonymous Author index . . . . . . . . . . . . . . iii--iv
Martin H. Schultz and
Ding Lee Foreword . . . . . . . . . . . . . . . . vii--vii
William A. Von Winkle Introduction . . . . . . . . . . . . . . ix--ix
Leopold B. Felsen Give us this day a stable code . . . . . xi--xi
Garrett Birkhoff Some mathematical problems of numerical
ocean acoustics . . . . . . . . . . . . 643--654
A. Bayliss and
C. I. Goldstein and
E. Turkel The numerical solution of the Helmholtz
Equation for wave propagation problems
in underwater acoustics . . . . . . . . 655--665
Vladimir Rokhlin Application of volume integrals to the
solution of partial differential
equations . . . . . . . . . . . . . . . 667--679
W. F. Ames Invariant solutions of the underwater
acoustic wave equation . . . . . . . . . 681--685
L. B. Felsen Numerically efficient spectral
representations for guided ocean
acoustics . . . . . . . . . . . . . . . 687--698
Henrik Schmidt and
Finn B. Jensen Efficient numerical solution technique
for wave propagation in horizontally
stratified environments . . . . . . . . 699--715
Michael F. Werby and
Stanley A. Chin-Bing Some numerical techniques and their use
in the extension of $T$-matrix and
null-field approaches to scattering . . 717--731
R. Vichnevetsky Propagation and spurious reflection in
finite-element approximations of
hyperbolic equations . . . . . . . . . . 733--746
Tony F. Chan and
Longjun Shen and
Ding Lee Difference schemes for the parabolic
wave equation in ocean acoustics . . . . 747--754
John A. DeSanto Some computational problems in ocean
acoustics . . . . . . . . . . . . . . . 755--763
George J. Fix and
Manil Suri Three-dimensional mass-conserving
elements for compressible flows . . . . 765--776
Martin H. Schultz Multiple array processors for ocean
acoustic problems . . . . . . . . . . . 777--785
Ira B. Bernstein and
Timothy M. Smith Geometric acoustics as applied to ocean
ranging and improvements . . . . . . . . 787--793
R. B. Evans and
K. E. Gilbert Acoustic propagation in a refracting
ocean waveguide with an irregular
interface . . . . . . . . . . . . . . . 795--805
Ding Lee and
Robert M. Kennedy A numerical treatment of a mixed type
dynamic motion equation arising from a
towed acoustic antenna in the ocean . . 807--816
Gregory A. Kriegsmann A multiscale derivation of a new
parabolic equation which includes
density variations . . . . . . . . . . . 817--821
Suzanne T. McDaniel Applications of energy methods to
finite-difference solutions of the
parabolic wave equation . . . . . . . . 823--829
Allan D. Pierce The natural reference wavenumber for
parabolic approximations in ocean
acoustics . . . . . . . . . . . . . . . 831--841
B. Edward McDonald and
W. A. Kuperman Time-domain solution of the parabolic
equation including nonlinearity . . . . 843--851
William L. Siegmann and
Ding Lee Aspects of three-dimensional parabolic
equation computations . . . . . . . . . 853--862
R. N. Baer and
D. H. Berman and
J. S. Perkins and
E. B. Wright A three-dimensional model for acoustic
scattering from rough ocean bathymetry 863--871
D. F. St. Mary Analysis of an implicit
finite-difference scheme for a
third-order partial differential
equation in three dimensions . . . . . . 873--885
J. T. Kuo and
Y. C. Teng and
P. Pecholcs and
J. Blair A note on the influence of the
elasticity on wave propagation in an
acoustic/elastic coupled medium . . . . 887--896
Sung C. Choi Approximate sequential test for the
Behrens--Fisher problem . . . . . . . . 897--902
Riaz A. Usmani Some new finite difference methods for
computing eigenvalues of two-point
boundary-value problems . . . . . . . . 903--909
V. Y. Pan On application of some recent techniques
of the design of algebraic algorithms to
the sequential and parallel evaluation
of the roots of a polynomial and to some
other numerical problems . . . . . . . . 911--917
V. Y. Pan The bit complexity of matrix
multiplication and of related
computations in linear algebra. The
segmented $ \lambda $ algorithms . . . . 919--928
Tony F. Chan and
Longjun Shen and
Ding Lee A stable explicit scheme for the ocean
acoustic wave equation . . . . . . . . . 929--936
Germana Peggion and
James J. O'Brien An explicit finite-difference scheme for
solving the ocean acoustic parabolic
wave equation . . . . . . . . . . . . . 937--942
István Bencsik Approximate predictor and filter for
partially observed vector ARMA processes 943--947
Michael A. Driscoll and
R. P. Srivastav Rational function approximations in the
numerical solution of Cauchy-type
singular integral equations . . . . . . 949--965
Michael R. Chernick and
David M. Wincelberg Time series analysis of the strategic
petroleum reserve's brine pipeline test
data . . . . . . . . . . . . . . . . . . 967--982
Ervin Y. Rodin Book reports . . . . . . . . . . . . . . 983--986
JoséMario Martínez The projection method for solving
nonlinear systems of equations under the
``most violated constraint'' control . . 987--993
I. Babu\vska and
R. C. Morgan Composites with a periodic structure:
mathematical analysis and numerical
treatment . . . . . . . . . . . . . . . 995--1005
Jacques Lanteigne and
Claude de Tourreil The mechanical performance of GRP used
in electrical suspension insulators . . 1007--1021
Shahram Aivaz-Zadeh Mokari and
Epiphane Ramahefarison and
Georges Verchery Composite structure analysis with
microcomputer using classical and
interface finite elements . . . . . . . 1023--1042
M. Bouzidi and
P. Duhamel Non-stationary heat conduction in
composite slabs with coupling.
Application to enclosures: numerical
computation of the analytical solution 1043--1055
P. D. Mangalgiri and
B. Dattaguru and
A. K. Rao Fasteners in composite plates: effects
of interfacial friction . . . . . . . . 1057--1068
Zahari Zlatev and
Jerzy Wasniewski and
Kjeld Schaumburg Exploiting the sparsity in the solution
of linear ordinary differential
equations . . . . . . . . . . . . . . . 1069--1087
T. R. Walsh On the size of quadtrees generalized to
$d$-dimensional binary pictures . . . . 1089--1097
Yu. M. Volin and
G. M. Ostrovskii Automatic computation of derivatives
with the use of the multilevel
differentiating technique-1. Algorithmic
basis . . . . . . . . . . . . . . . . . 1099--1114
G. Steven Gipson On bounding the errors in three
Runge--Kutta type formulations . . . . . 1115--1125
V. Pan On the complexity of a pivot step of the
revised simplex algorithm . . . . . . . 1127--1140
Anonymous Software survey section . . . . . . . . i--iii
Anonymous List of Contents . . . . . . . . . . . . ix--xv
Anonymous Author index . . . . . . . . . . . . . . xvi--xvi
M. S. Abadir and
H. K. Reghbati Functional specification and testing of
logic circuits . . . . . . . . . . . . . 1143--1153
Joseph JáJá Lower bounds on monotone arithmetic
circuits with restricted depths . . . . 1155--1164
Reuven Chen Solution of minimax problems using
equivalent differentiable functions . . 1165--1169
Mikhail J. Atallah Some dynamic computational geometry
problems . . . . . . . . . . . . . . . . 1171--1181
Riaz A. Usmani and
Ravi P. Agarwal An $A$-stable extended trapezoidal rule
for the integration of ordinary
differential equations . . . . . . . . . 1183--1191
M. de la Sen Multirate digital adaptive control . . . 1193--1210
David H. Tompkins Affine approximation of isoparametric
elements . . . . . . . . . . . . . . . . 1211--1225
Michael McKenna and
Godfried T. Toussaint Finding the minimum vertex distance
between two disjoint convex polygons in
linear time . . . . . . . . . . . . . . 1227--1242
Anonymous NBS parallel computer benchmark
collection . . . . . . . . . . . . . . . 1243--1243
Anonymous Editorial Board . . . . . . . . . . . . i--i
Anonymous Papers to appear in symmetry (Part 2) ix--ix
Ervin Y. Rodin Foreword . . . . . . . . . . . . . . . . xi--xii
István Hargittai Preface . . . . . . . . . . . . . . . . xiii--xv
István Hargittai Limits of perfection . . . . . . . . . . 1--17
Alan L. Mackay But what is symmetry? . . . . . . . . . 19--20
Alan L. Mackay Generalised crystallography . . . . . . 21--37
György Doczi Seen and unseen symmetries: a picture
essay . . . . . . . . . . . . . . . . . 39--62
A. L. Loeb Symmetry and modularity . . . . . . . . 63--75
Harold Osborne Symmetry as an aesthetic factor . . . . 77--82
L. Fejes Tóth Symmetry induced by economy . . . . . . 83--91
I. I. Shafranovskii Magic rectangles in the table of the 32
classes of symmetry . . . . . . . . . . 93--96
J. Brandmüller An extension of the
Neumann--Minnigerode--Curie principle 97--100
Dana Wilson Symmetry and its ``love--hate'' role in
music . . . . . . . . . . . . . . . . . 101--112
Jon Brunvoll and
Bjòrg Cyvin and
Einar Cyvin and
Sven Cyvin and
Aage Paus and
Martin Stòlevik and
Reidar Stòlevik The computerized Soma cube . . . . . . . 113--121
Caroline H. MacGillavry The symmetry of M. C. Escher's
``impossible'' images . . . . . . . . . 123--138
Douglas Dunham Hyperbolic symmetry . . . . . . . . . . 139--153
Heinz Herrmann Asymmetry and symmetry in cellular
organization . . . . . . . . . . . . . . 155--167
Philip D. Mannheim Symmetry and spontaneously broken
symmetry in the physics of elementary
particles . . . . . . . . . . . . . . . 169--183
Ralph H. Bartram Symmetry of point imperfections in
solids . . . . . . . . . . . . . . . . . 185--196
B. Pavlovi\'c and
N. Trinajsti\'c On symmetry and asymmetry in literature 197--227
Ralph G. Pearson Symmetry rules for chemical reactions 229--236
B. K. Vainshtein Symmetry of biological macromolecules
and their associations . . . . . . . . . 237--269
Haruo Hosoya Matching and symmetry of graphs . . . . 271--290
V. Molnar and
F. Molnar Symmetry-making and -breaking in visual
art . . . . . . . . . . . . . . . . . . 291--301
John G. Harries Symmetry and notation: Regularity and
symmetry in notated computer graphics 303--314
Peter Hilton and
Jean Pedersen Symmetry in mathematics . . . . . . . . 315--328
Hans Giger Moirés . . . . . . . . . . . . . . . . . 329--361
Werner Witschi Moirés . . . . . . . . . . . . . . . . . 363--378
Yu. A. Urmantsev Symmetry of system and system of
symmetry . . . . . . . . . . . . . . . . 379--405
D. W. Crowe The mosaic patterns of H. J. Woods . . . 407--411
Klaus Sander Bilateral symmetry in insects: Could it
derive from circular asymmetries during
early embryogenesis? . . . . . . . . . . 413--418
Hans Meinhardt Formation of symmetric and asymmetric
structures during development of higher
organisms . . . . . . . . . . . . . . . 419--433
Roberto Donnini The visualization of music: Symmetry and
asymmetry . . . . . . . . . . . . . . . 435--463
A. Gavezzotti and
M. Simonetta On the symmetry of periodic structures
in two dimensions . . . . . . . . . . . 465--476
Barbara E. Lowrey A space view of a symmetric object . . . 477--485
William B. Jensen Classification, symmetry and the
periodic table . . . . . . . . . . . . . 487--510
Anonymous Foreword . . . . . . . . . . . . . . . . vii--vii
Anonymous Foreword . . . . . . . . . . . . . . . . vii--vii
S. C. Choi Discrimination and classification:
Overview . . . . . . . . . . . . . . . . 173--177
W. J. Krzanowski Multiple discriminant analysis in the
presence of mixed continuous and
categorical data . . . . . . . . . . . . 179--185
Ioannis G. Vlachonikolis On the estimation of the expected
probability of misclassification in
discriminant analysis with mixed binary
and continuous variables . . . . . . . . 187--195
B. J. Murphy and
M. A. Moran Parametric and kernel density methods in
discriminant analysis: Another
comparison . . . . . . . . . . . . . . . 197--207
A. Albert and
E. Lesaffre Multiple group logistic discrimination 209--224
Tie-Hua Ng and
Ronald H. Randles Distribution-free partial discrimination
procedures . . . . . . . . . . . . . . . 225--234
Gregory G. Enas and
Sung C. Choi Choice of the smoothing parameter and
efficiency of k-nearest neighbor
classification . . . . . . . . . . . . . 235--244
M. C. Costanza and
T. Ashikaga Monte Carlo study of forward stepwise
discrimination based on small samples 245--252
James D. Knoke The robust estimation of classification
error rates . . . . . . . . . . . . . . 253--260
G. J. McLachlan Assessing the performance of an
allocation rule . . . . . . . . . . . . 261--272
Terence J. O'Neill The variance of the error rates of
classification rules . . . . . . . . . . 273--287
D. J. Hand Estimating class sizes by adjusting
fallible classifier results . . . . . . 289--299
A. K. Gupta On a classification rule for multiple
measurements . . . . . . . . . . . . . . 301--308
J. G. Verwer On the shift parameter in the backward
beam method for parabolic problems for
preceding times . . . . . . . . . . . . 309--318
Miroslav Morhác Precise deconvolution using the Fermat
number transform . . . . . . . . . . . . 319--329
Wilhelm Werner Iterative solution of systems of
nonlinear equations based upon quadratic
approximations . . . . . . . . . . . . . 331--343
S. Thompson and
P. G. Tuttle Benchmark fluid flow problems for
continuous simulation languages . . . . 345--351
Jianqin Mao Optimal orthonormalization of the
strapdown matrix by using singular value
decomposition . . . . . . . . . . . . . 353--362
Claude Lacombe and
Claude Bédard Interpolation function of a general
triangular mid-edge finite element . . . 363--373
Anonymous Erratum . . . . . . . . . . . . . . . . 375--375
Kh. S. Mamedov Crystallographic patterns . . . . . . . 511--529
Norman H. Gray Symmetry in a natural fracture pattern:
the origin of columnar joint networks 531--545
V. I. Sokolov Chirality in the world of
stereochemistry . . . . . . . . . . . . 547--563
Marjorie Senechal Geometry and crystal symmetry . . . . . 565--578
H. S. M. Coxeter The generalized Petersen graph G(24, 5) 579--583
Zdenek Slanina An interplay between the phenomenon of
chemical isomerism and symmetry
requirements: a perennial source of
stimuli for molecular-structure
concepts, as well as for algebraic and
computational chemistry . . . . . . . . 585--616
Lee M. Johnson Milton's mathematical symbol of theodicy 617--627
Arthur L. Loeb Symmetry in court and country dance . . 629--639
Branko Grünbaum and
Zdenka Grünbaum and
G. C. Shepard Symmetry in Moorish and other ornaments 641--653
Jay Kappraff The geometry of coastlines: a study in
fractals . . . . . . . . . . . . . . . . 655--671
Doris Schattschneider In black and white: how to create
perfectly colored symmetric patterns . . 673--695
Zvonimir B. Maksi\'c Symmetry, hybridization and bonding in
molecules . . . . . . . . . . . . . . . 697--723
Erzsébet Rózsa Symmetry in Muslim arts . . . . . . . . 725--750
Konrad Fichtner Non-space-group symmetry in
crystallography . . . . . . . . . . . . 751--762
Carl W. David Voronoi polyhedra and the docking
problem . . . . . . . . . . . . . . . . 763--766
Dorothy K. Washburn Pattern symmetry and colored repetition
in cultural contexts . . . . . . . . . . 767--781
J. Brandmüller and
B. Hrouda and
A. V. Wickede Symmetry in archaeology . . . . . . . . 783--787
Reidar Stòlevik and
Jon Brunvoll and
Bjòrg Cyvin and
Sven Cyvin Strange patterns generated from simple
rules with possible relevance to
crystallization and other phenomena . . 789--801
A. L. MacKay and
J. Klinowski Towards a grammar of inorganic structure 803--824
A. T. Fomenko Symmetries of soap films . . . . . . . . 825--834
Agnes Denes Notes on a visual philosophy . . . . . . 835--848
Riichirô Chûjô Symmetry in polymer science . . . . . . 849--857
S. J. Cyvin and
I. Gutman Kekulé structures and their symmetry
properties . . . . . . . . . . . . . . . 859--876
Raanan Liebermann The gapon formalism . . . . . . . . . . 877--881
Peter Scharfenberg On symmetries in the graphic art of
Horst Barting . . . . . . . . . . . . . 883--893
ekabs Zvilna Colored symmetries in space-time . . . . 895--910, IN1, 911
Jay Kappraff A course in the mathematics of design 913--948
Emil Makovicky Symmetrology of art: coloured and
generalized symmetries . . . . . . . . . 949--980
L. A. Cummings A recurring geometrical pattern in the
early renaissance imagination . . . . . 981--997
Alexandru T. Balaban Symmetry in chemical structures and
reactions . . . . . . . . . . . . . . . 999--1020
I. Hargittai and
B. Chamberland The VSEPR model of molecular geometry 1021--1038
Denis Blackmore The mathematical theory of chaos . . . . 1039--1045
Anonymous Index . . . . . . . . . . . . . . . . . i--i
Anonymous About this issue . . . . . . . . . . . . vii--vii
Anonymous Author's guidelines . . . . . . . . . . ix--ix
Luping Huang and
Tai-Ping Liu A conservative, piecewise-steady
difference scheme for transonic nozzle
flow . . . . . . . . . . . . . . . . . . 377--388
Boris A. Kupershmidt Discretization of ideal fluid dynamics
in the Eulerian representation . . . . . 389--412
H. C. Yee Linearized form of implicit TVD schemes
for the multidimensional Euler and
Navier--Stokes equations . . . . . . . . 413--432
D. Marchesin and
P. J. Paes-Leme A Riemann problem in gas dynamics with
bifurcation . . . . . . . . . . . . . . 433--455
G. Perla Menzala Scattering properties of wave equations
with time-dependent potentials . . . . . 457--475
Frederick Bloom The influence of nonlinear conduction on
singularity formation in the intense
plane-wave, nonlinear dielectric
interaction problem . . . . . . . . . . 477--489
O. Diekmann and
H. J. A. M. Heijmans and
H. R. Thieme On the stability of the cell-size
distribution II: Time-periodic
developmental rates . . . . . . . . . . 491--512
J. M. Cushing Periodic McKendrick equations for
age-structered population growth . . . . 513--526
G. F. Webb Logistic models of structured population
growth . . . . . . . . . . . . . . . . . 527--539
Pierangelo Marcati Abstract stability theory and
applications to hyperbolic equations
with time dependent dissipative force
fields . . . . . . . . . . . . . . . . . 541--550
Peter A. McCoy Singularities of hyperbolic PDEs in two
complex variables . . . . . . . . . . . 551--556
G. Adomian and
N. Bellomo On the Tricomi problem . . . . . . . . . 557--563
William Layton High-accuracy finite-element methods for
positive symmetric systems . . . . . . . 565--579
Laurence A. Bales Higher-order single-step fully discrete
approximations for nonlinear
second-order hyperbolic equations . . . 581--604
Ohannes A. Karakashian Galerkin single-step methods for
second-order hyperbolic equations . . . 605--613
W. B. Lindquist Construction of solutions for
two-dimensional Riemann problems . . . . 615--630
Glenn Webb Review of \booktitleTrends in Theory and
Practice of Nonlinear Differential
Equations, Lecture Notes in Pure and
Applied Mathematics: Vol. 90, Marcel
Dekker, Inc., New York and Basel, 1984,
V. Lakshmikantham, Ed. . . . . . . . . . 631--631
Kevin P. Meade Review of \booktitleNonlinear Partial
Differential Equations in Engineering
and Applied Science, Lecture Notes in
Pure and Applied Mathematics: Vol. 54,
Marcel Dekker, Inc., New York and Basel,
1984, R. L. Sternberg, A. J. Kalinowski
and J. S. Papadakis, Eds. . . . . . . . 631--632
Kevin P. Meade Book Review: \booktitleReview of PDE
software: Modules, interfaces and
systems: Elsevier Science Publishing
Company, Inc., New York, 1984, B.
Engquist and T. Smedsaas, Eds. . . . . . 632--632
Anonymous List of contents and author index volume
12B, 1986 . . . . . . . . . . . . . . . i--v, vii
Eduardo L. Ortiz Professor Yudell L. Luke: From tables to
algorithms . . . . . . . . . . . . . . . 1047--1052
A. H. Ahmed and
K. Wright Error estimation for collocation
solution of linear ordinary differential
equations . . . . . . . . . . . . . . . 1053--1059
C. A. Brebbia and
D. Nardini Solution of parabolic and hyperbolic
time dependent problems using boundary
elements . . . . . . . . . . . . . . . . 1061--1072
P. L. Butzer and
W. Engels and
U. Wipperfürth An extension of the dyadic calculus with
fractional order derivatives: General
theory . . . . . . . . . . . . . . . . . 1073--1090
C. W. Clenshaw and
Daniel W. Lozier and
Frank W. J. Olver and
P. R. Turner Generalized Exponential and Logarithmic
Functions . . . . . . . . . . . . . . . 1091--1101
S. W. Ellacott A survey of Faber methods in numerical
approximation . . . . . . . . . . . . . 1103--1107
S. O. Fatunla Numerical treatment of singular initial
value problems . . . . . . . . . . . . . 1109--1115
G. Ben-yu and
A. R. Mitchell and
B. D. Sleeman Spatial effects in a two-dimensional
model of the budworm-balsam fir
ecosystem . . . . . . . . . . . . . . . 1117--1132
W. Haussmann and
K. Zeller Approximate Zolotarev polynomials . . . 1133--1140
J. D. Lambert A stable sequence of steplengths for
Euler's rule applied to stiff systems of
differential equations . . . . . . . . . 1141--1151
K. M. Liu and
E. L. Ortiz Numerical solution of eigenvalue
problems for partial differential
equations with the Tau-lines method . . 1153--1168
H. H. Kagiwada and
R. Kalaba and
K. Spingarn Automatic solution of nonlinear integral
equations . . . . . . . . . . . . . . . 1169--1184
E. Marchi Cooperative equilibrium . . . . . . . . 1185--1186
G. Marsaglia The incomplete $ \Gamma $ function as a
continuous Poisson distribution . . . . 1187--1190
G. Meinardus An approximation theoretic alternative
to asymptotic expansions for special
functions . . . . . . . . . . . . . . . 1191--1201
Y. Martinez and
A. Pham Ngoc Dinh A generalization of Tikhonov's
regularization of zero and first order 1203--1208
J. J. H. Miller Optimal uniform difference schemes for
linear initial-value problems . . . . . 1209--1215
J. J. Modi and
J. D. Pryce Mobile Jacobi schemes for parallel
computation . . . . . . . . . . . . . . 1217--1224
E. L. Ortiz and
K.-S. Pun A bidimensional tau-elements method for
the numerical solution of nonlinear
partial differential equations with an
application to Burgers' equation . . . . 1225--1240
R. Piessens and
M. Branders Computation of Fourier and Laplace
transforms of singular functions using
modified moments . . . . . . . . . . . . 1241--1248
P. Rabinowitz A stable Gauss--Kronrod algorithm for
Cauchy principal-value integrals . . . . 1249--1254
T. J. Rivlin Optimal recovery of multivariate
contractions . . . . . . . . . . . . . . 1255--1258
F. Robert Machine iteration for a linear function 1259--1274
R. Rodríguez and
P. E. Zadunaisky A stable method to estimate
perturbations in differential equations 1275--1286
L. F. Shampine Conservation laws and the numerical
solution of ODEs . . . . . . . . . . . . 1287--1296
K. Wang and
P. J. Davis Group matrices for the quaternion and
generalized dihedral groups . . . . . . 1297--1301
Anonymous The research contributions of Richard
Bellman . . . . . . . . . . . . . . . . 633--651
K. J. Åström and
A. Helmersson Dual control of an integrator with
unknown gain . . . . . . . . . . . . . . 653--662
N. Bellomo and
R. Riganti Time evolution and fluctuations of the
probability density and entropy function
for a class of nonlinear stochastic
systems in mathematical physics . . . . 663--675
E. Beretta and
V. Capasso On the general structure of epidemic
systems. Global asymptotic stability . . 677--694
Kenneth L. Cooke and
Joseph Wiener Stability regions for linear equations
with piecewise continuous delay . . . . 695--701
E. D. Denman Invariant imbedding, scattering
processes and projectors in systems . . 703--717
Augustine O. Esogbue and
Nazir A. Warsi A high-level computing algorithm for
diverging and converging branch
nonserial dynamic programming systems 719--732
V. Faber and
Thomas A. Manteuffel and
Andrew B. White, Jr. and
G. Milton Wing Asymptotic behavior of singular values
and singular functions of certain
convolution operators . . . . . . . . . 733--747
Yasuhiro Fujita and
Makiko Nisio Nonlinear semigroups associated with
optimal stopping of controlled
diffusions under partial observation . . 749--760
Svetoslav D. Gaidov Nash-equilibrium in stochastic
differential games . . . . . . . . . . . 761--768
Michael J. Hartley Calibration of macroeconomic models with
incomplete data --- a systems approach 769--775
Lawrence Hendler and
Stephen S. Friedland Image plane holography for holographic
presentation of a three-dimensional data
base . . . . . . . . . . . . . . . . . . 777--784
Harriet H. Kagiwada and
Robert E. Kalaba The work of Richard Bellman --- I.
Optimization . . . . . . . . . . . . . . 785--790
J.-T. Lim and
S. M. Meerkov Distributed communications in collision
channels with errors . . . . . . . . . . 791--802
Aage R. Mòller Systems identification using
pseudorandom noise applied to a
sensorineural system . . . . . . . . . . 803--814
Curtis Outlaw and
Leroy Derr and
Diran Sarafyan A sixth-order imbedded Runge--Kutta
algorithm with continuously variable
weights . . . . . . . . . . . . . . . . 815--824
Hagop Panossian Richard Bellman and stochastic control
systems . . . . . . . . . . . . . . . . 825--829
Robert S. Roth Quasilinearization and terminal
observation . . . . . . . . . . . . . . 831--838
Yuval Lirov and
Michael W. Vannier System analysis of stereotactic
neurosurgery based on CT scans . . . . . 839--858
Jerry L. Bona and
Vassilios A. Dougalis and
Ohannes A. Karakashian Fully discrete Galerkin methods for the
Korteweg--de Vries equation . . . . . . 859--884
L. F. Shampine Global error estimation with one-step
methods . . . . . . . . . . . . . . . . 885--894
Apostolos Gerasoulis The singular value decomposition of the
Gauss--Chebyshev and Lobatto--Chebyshev
methods for Cauchy Singular Integral
Equations . . . . . . . . . . . . . . . 895--907
J. F. Andrus Differential inequalities and their
application to a convergence proof of
quasilinearization . . . . . . . . . . . 909--919
P. L. Butzer and
W. Engels and
U. Wipperfürth An extension of the dyadic calculus with
fractional order derivatives. Further
theory and applications . . . . . . . . 921--943
Anonymous Book reports . . . . . . . . . . . . . . 945--949
M. S. Petkovi\'c and
G. V. Milovanovi\'c and
L. V. Stefanovi\'c Some higher-order methods for the
simultaneous approximation of multiple
polynomial zeros . . . . . . . . . . . . 951--962
C. F. Chen and
G. Freeman A new formula for partial fraction
expansion of a transfer matrix . . . . . 963--968
J. Angeles and
M. A. Alvarado and
A.-R. Mansouri A spline-based method of solution of
nonlinear two-point boundary-value
problems . . . . . . . . . . . . . . . . 969--985
M. Head-Gordon and
P. Piela Parallel algorithms for solving linear
equations using Givens transformations 987--990
A. W. Leung and
D. A. Murio $ L_2 $ convergence for positive
finite-difference solutions of the
diffusive logistic equation in
two-dimensional bounded domains . . . . 991--1005
J. R. Dormand and
P. J. Prince Runge--Kutta triples . . . . . . . . . . 1007--1017
W. S. Yousif and
D. J. Evans An iterative algorithm for the solution
of a tridiagonal linear system of
equations . . . . . . . . . . . . . . . 1019--1027
J. R. Cash Numerical integration of non-linear
two-point boundary-value problems using
iterated deferred corrections --- I: a
survey and comparison of some one-step
formulae . . . . . . . . . . . . . . . . 1029--1048
J. J. Miñambres and
M. de la Sen Application of numerical methods to the
acceleration of the convergence of the
adaptive control algorithms: the
one-dimensional case . . . . . . . . . . 1049--1056
A. Boyarsky Computer orbits . . . . . . . . . . . . 1057--1064
R. W. Lardner and
H. M. Cekirge and
N. Gunay Numerical solution of the
two-dimensional tidal equations using
the method of characteristics . . . . . 1065--1080
H. M. Cekirge and
R. W. Lardner and
R. J. Fraga Adaptation of the solution of the
two-dimensional tidal equations using
the method of characteristics to
wind-induced currents and storm surges 1081--1090
R. Kalaba and
L. Tesfatsion Automatic differentiation of functions
of derivatives . . . . . . . . . . . . . 1091--1103
D. Bini and
V. Pan Fast parallel algorithms for polynomial
division over an arbitrary field of
constants . . . . . . . . . . . . . . . 1105--1118
G. Adomian Solution of the Navier--Stokes equation
--- I . . . . . . . . . . . . . . . . . 1119--1124
S. Thompson Remarks on the choice of a stiff
ordinary differential equation solver 1125--1141
R. P. Agarwal and
Y. M. Chow Finite-difference methods for
boundary-value problems of differential
equations with deviating arguments . . . 1143--1153
W. Schneider A simple technique for adding tension to
parabolic blending interpolation . . . . 1155--1160
Anonymous List of contents and author index volume
12A, 1986 . . . . . . . . . . . . . . . i--x
A. Srivastava and
S. L. Paveri-Fontana Numerical experiments on the rational
Runge--Kutta method . . . . . . . . . . 1161--1170
H. S. Qin Some sufficient conditions for occurring
bifurcation . . . . . . . . . . . . . . 1171--1182
S. Thompson The effect of partial pivoting in sparse
ordinary differential equation solvers 1183--1191
A. Kharab A numerical solution of a free-boundary
problem on the unsaturated flow of
liquids in porous media . . . . . . . . 1193--1200
K. S. Parihar and
M. P. Ramachandran Piecewise cubic interpolatory
polynomials and approximate solution of
singular integral equations . . . . . . 1201--1215
V. Pan and
J. Reif Fast and efficient linear programming
and linear least-squares computations 1217--1227
Anonymous Editorial Board . . . . . . . . . . . . iii--iii
Anonymous Foreword . . . . . . . . . . . . . . . . vii--vii
Anonymous Preface . . . . . . . . . . . . . . . . ix--x
M. Corless and
G. Leitmann and
J. M. Skowronski Adaptive control for avoidance or
evasion in an uncertain environment . . 1--11
E. A. Galperin and
J. M. Skowronski pursuit--evasion differential games with
uncertainties in dynamics . . . . . . . 13--35
J. M. Skowronski and
R. J. Stonier The Barrier in a pursuit--evasion game
with two targets . . . . . . . . . . . . 37--45
M. Pachter and
T. Miloh The geometric approach to the
construction of the barrier surface in
differential games . . . . . . . . . . . 47--67
M. Pachter Simple-motion pursuit--evasion in the
half plane . . . . . . . . . . . . . . . 69--82
S. Gutman and
M. Esh and
M. Gefen Simple linear pursuit--evasion games . . 83--95
M. D. Ardema and
N. Rajan An approach to three-dimensional
aircraft pursuit--evasion . . . . . . . 97--110
U. R. Prasad and
N. Rajan Aircraft pursuit--evasion problems with
variable speeds . . . . . . . . . . . . 111--121
J. Shinar and
A. Davidovitz A two-target game analysis in
line-of-sight coordinates . . . . . . . 123--140
Y. Yavin A stochastic two-target pursuit--evasion
differential game with three players
moving in a plane . . . . . . . . . . . 141--149
A. W. Merz Stochastic guidance laws in satellite
pursuit--evasion . . . . . . . . . . . . 151--156
B. Järmark On closed-loop controls in
pursuit--evasion . . . . . . . . . . . . 157--166
K. Moritz and
R. Polis and
K. H. Well pursuit--evasion in medium-range
air-combat scenarios . . . . . . . . . . 167--180
W. L. Chan and
S. K. Ng Partially observable linear--quadratic
stochastic pursuit--evasion games . . . 181--189
Y. Yavin Pursuit--evasion differential games with
deception or interrupted observation . . 191--203
P. Bernhard and
A.-L. Colomb and
G. P. Papavassilopoulos Rabbit and hunter game: Two discrete
stochastic formulations . . . . . . . . 205--225
H.-C. Lai and
K. Tanaka An $n$-person noncooperative discounted
vector valued dynamic game with a
stopped set . . . . . . . . . . . . . . 227--237
T. Basar and
P. R. Kumar On worst case design strategies . . . . 239--245
S.-I. Aihara and
A. Bagchi Linear--quadratic stochastic
differential games for distributed
parameter systems . . . . . . . . . . . 247--259
E. Y. Rodin and
Y. Lirov and
S. Mittnik and
B. G. McElhaney and
L. Wilbur Artificial intelligence in air combat
games . . . . . . . . . . . . . . . . . 261--274
E. Y. Rodin A pursuit--evasion bibliography ---
Version 1 . . . . . . . . . . . . . . . 275--340
Anonymous Editorial: Software survey section . . . i--iii
M. de la Sen and
C. Gil-Aguirrebeitia A stable adaptive control design for
discrete plants with unmodelled dynamics 341--350
S. Goyal and
S. M. Serbin A class of Rosenbrock-type schemes for
second-order nonlinear systems of
ordinary differential equations . . . . 351--362
C. Asmuth An application of group representation
theory to picture recognition . . . . . 363--365
F. D. van Niekerk Non-linear one-step methods for initial
value problems . . . . . . . . . . . . . 367--371
A. H. Al-Rabeh A variable parameter embedded Dirk
algorithm for the numerical integration
of stiff systems of ODEs . . . . . . . . 373--379
D. A. Murio Automatic numerical differentiation by
discrete mollification . . . . . . . . . 381--386
G. A. Baker and
W. N. Jureidini A nonstandard finite element method for
the stationary two-dimensional
Navier--Stokes equations . . . . . . . . 387--400
M. Orlowski and
M. Pachter Linear programming in $ R^3 $ and the
skeleton and largest incircle of a
convex polygon . . . . . . . . . . . . . 401--405
Anonymous Book reports . . . . . . . . . . . . . . 407--412
H. K. Reghbati Foreword . . . . . . . . . . . . . . . . vii--vii
M. S. Abadir and
H. K. Reghbati Functional test generation using binary
decision diagrams . . . . . . . . . . . 413--430
K. K. Saluja and
L. Shen and
S. Y. H. Su A simplified algorithm for testing
microprocessors . . . . . . . . . . . . 431--441
W.-T. Cheng and
J. H. Patel Testing in two-dimensional iterative
logic arrays . . . . . . . . . . . . . . 443--454
S. Mouradd and
J. L. A. Hughes and
E. J. McCluskey Effectiveness of single fault tests to
detect multiple faults in parity trees 455--459
S. Xu and
S. Y. H. Su A systematic technique for detecting and
locating bridging and stuck-at faults in
I/O pins of LSI/VLSI chips . . . . . . . 461--474
S. B. Akers The use of linear sums in exhaustive
testing . . . . . . . . . . . . . . . . 475--483
K. K. Chau and
C. R. Kime Selective I/O scan: a diagnosable design
technique for VLSI systems . . . . . . . 485--502
K. K. Saluja and
H. Fujiwara and
K. Kinoshita A testable design of programmable logic
arrays with universal control and
minimal overhead . . . . . . . . . . . . 503--517
M. S. Abadir and
M. A. Breuer Test schedules for VLSI circuits having
built-in test hardware . . . . . . . . . 519--536
T. Sridhar and
D. S. Ho and
T. J. Powell and
S. M. Thatte Analysis and simulation of parallel
signature analyzers . . . . . . . . . . 537--545
B. Bose $2$-dimensional arithmetic residue check
codes . . . . . . . . . . . . . . . . . 547--554
N. K. Jha and
J. A. Abraham Techniques for efficiently implementing
totally self-checking checkers in MOS
technology . . . . . . . . . . . . . . . 555--566
A. K. Somani and
V. K. Agarwal Diagnosis in hybrid fault situations
under aim and a unified
t-characterization theorem . . . . . . . 567--576
M. S. Krishnamoorthy and
B. Krishnamurthy Fault diameter of interconnection
networks . . . . . . . . . . . . . . . . 577--582
Anonymous Editorial: Software survey section . . . i--iii
S. R. Wu and
J. T. Oden Convergence and error estimates for
finite element solutions of
elastohydrodynamic lubrication . . . . . 583--593
J. Letessier The numerical resolution of birth and
death Kolmogorov equations . . . . . . . 595--600
K. Ranai and
C. Pursglove and
P. H. Leng Optimal file allocation in a loop
topology local area network . . . . . . 601--610
H. Zedan An AN-stable Rosenbrock-type method for
solving stiff differential equations . . 611--615
B. Codenotti and
P. Favati Low rank modifications of Jacobi and JOR
iterative methods . . . . . . . . . . . 617--621
R. de Villiers and
C. J. Wright and
Y. Yavin A stochastic pursuit--evasion
differential game in $3$-D: Optimal
evasion strategies . . . . . . . . . . . 623--630
B. Codenotti and
P. Favati Iterative methods for the parallel
solution of linear systems . . . . . . . 631--633
G. S. Gipson An effective difference scheme for
quasilinear diffuion . . . . . . . . . . 635--646
C. G. Hamner and
D. W. Turner and
D. M. Young Comparisons of several graphical methods
for representing multivariate data . . . 647--655
Anonymous Book reports . . . . . . . . . . . . . . 657--659
Anonymous Editorial: Software survey section . . . i--iii
A. Tanikawa and
H. Mukai New Lagrangian function for nonconvex
primal-dual decomposition . . . . . . . 661--676
S. Thompson Stability of some continuously imbedded
Runge--Kutta methods of Sarafyan . . . . 677--680
G. Lotti A parallel perturbed biharmonic solver 681--686
F. Brossier Asymptotic behaviour of the perturbation
of a given mean flow . . . . . . . . . . 687--709
T. A. Foley Interpolation and approximation of $3$-D
and $4$-D scattered data . . . . . . . . 711--740
Anonymous About this issue . . . . . . . . . . . . vii--vii
Anonymous Author's guidelines . . . . . . . . . . ix--ix
G. Adomian A general approach to solution of
partial differential equation systems 741--747
G. F. Webb Dynamics of structured populations with
inherited properties . . . . . . . . . . 749--757
H. Wu and
P. J. H. Sharpe and
E. J. Rykiel, Jr. Age-size population dynamics: Derivation
of a general matrix methodology . . . . 759--766
W. E. Fitzgibbon A hyperbolic system from a neural
transmission model . . . . . . . . . . . 767--769
G. A. Sod A dictionary approach to
reaction-diffusion systems with
nonlinear diffusion coefficients . . . . 771--783
O. A. Karakashian Runge--Kutta--Nyström methods for
hyperbolic problems with time-dependent
coefficients . . . . . . . . . . . . . . 785--800
C. Bardos and
V. Cea and
P. Grisvard Error estimates related to singular
perturbations of first-order equations
and systems . . . . . . . . . . . . . . 801--829
A. R. B. Abdullah and
D. J. Evans A new strategy for solving second-order
hyperbolic equations using asymmetric
formulae . . . . . . . . . . . . . . . . 831--838
S. S. Hu and
X. M. Shao Adaptive hybridized spline
differentiators for numerical solution
of the advection equation . . . . . . . 839--849
G. Toscani and
N. Bellomo The Enskog--Boltzmann equation in the
whole space $ R^3 $: Some global
existence, uniqueness and stability
results . . . . . . . . . . . . . . . . 851--859
F. Bloom A condition implying the global
existence of $ C^1 $ solutions for a
class of nonlinear transmission lines 861--879
B. A. Kupershmidt Cylindrically invariant flows in
relativistic fluid dynamics . . . . . . 881--887
N. Iraniparast Qualitative behaviour of solutions of
the Goursat problem for hyperbolic
differential equations . . . . . . . . . 889--900
E. Venturino Nonlinearly interacting age-dependent
populations . . . . . . . . . . . . . . 901--911
R. Elderkin Book Review: \booktitleTheory of
nonlinear age-dependent population
dynamics (Monographs and textbooks in
pure and applied mathematics, vol. 89):
By G. F. Webb. Dekker, New York (1985).
vi + 294 pp. \$65.00} . . . . . . . . . 913--915
Anonymous Editorial: Software survey section . . . i--iii
Anonymous List of contents and author index volume
13, 1987 . . . . . . . . . . . . . . . . i--ix
B. Pourbabai Markovian queueing systems with retrials
and heterogeneous servers . . . . . . . 917--923
P. A. Farrell Uniform and optimal schemes for stiff
initial-value problems . . . . . . . . . 925--936
J. R. Dormand and
P. J. Prince Runge--Kutta--Nystrom triples . . . . . 937--949
P. J. Szab\lowski Stochastic approximation with dependent
disturbances --- I . . . . . . . . . . . 951--972
P. J. Szab\lowski Generalized laws of large numbers and
auxiliary results concerning stochastic
approximation with dependent
disturbances --- II . . . . . . . . . . 973--987
Anonymous Editorial Board . . . . . . . . . . . . i--i
Anonymous Software survey section . . . . . . . . i--v
E. Y. Rodin Foreword . . . . . . . . . . . . . . . . vii--vii
B. A. Fusaro Mathematics and the microcomputer . . . 1--2
F. J. Hickernell and
W. Proskurowski Design of a calculus microcomputer
laboratory . . . . . . . . . . . . . . . 3--24
J. L. Van Iwaarden The computer as a teaching tool in
ordinary differential equations . . . . 25--32
R. E. Myers Fundamental concepts of microcomputer
graphics . . . . . . . . . . . . . . . . 33--42
G. Williams The microcomputer in linear algebra . . 43--52
L. B. Rall An introduction to the scientific
computing language Pascal-SC . . . . . . 53--69
F. S. Gordon and
S. P. Gordon Microcomputer graphics for statistical
education . . . . . . . . . . . . . . . 71--80
Anonymous Editorial: Software survey section . . . i--iii
A. Gerasoulis and
R. P. Srivastav The stability of the Gauss--Chebyshev
method for Cauchy singular integral
equations . . . . . . . . . . . . . . . 81--90
A. E. Ali Mathematical modelling of side-looking
radar imaging geometry and errors . . . 91--117
J. He Practical stability of discontinuous
large-scale systems . . . . . . . . . . 119--125
G. Subramanian and
C. V. Raghava Rao and
K. Pramadavalli A circular cylinder in a flow field with
parabolic velocity distribution --- a
numerical study . . . . . . . . . . . . 127--132
R. Pérez-Gómez The four regular mosaics missing in the
Alhambra . . . . . . . . . . . . . . . . 133--137
P. L. Mills and
S. Lai and
M. P. Dudukovi\'c and
P. A. Ramachandran Comparison of solution methods for a
mathematical model of dilute solute mass
transfer with chemical reaction on a
nonuniform surface . . . . . . . . . . . 139--151
Anonymous Software survey section . . . . . . . . i--iii
S. V. R. Rao and
K. F. Willis Micro-computer applications in
environmental engineering . . . . . . . 153--156
J. G. Reid Normal functions of normal random
variables . . . . . . . . . . . . . . . 157--160
D. J. Hand A shrunken leaving-one-out estimator of
error rate . . . . . . . . . . . . . . . 161--167
W. S. Yousif and
D. J. Evans The modified alternating group explicit
(MAGE) algorithm for solving tridiagonal
linear equations . . . . . . . . . . . . 169--172
S. S. Al-Fedaghi The two-row constraints realization
problem . . . . . . . . . . . . . . . . 173--183
A. Vanderbauwhede Note on a paper by H. S. Qin . . . . . . 185--187
U. Eckhardt and
M. G. El Sheikh A Fourier method for initial value
problems with mixed boundary conditions 189--199
A. de Palma and
C. Lef\`evre and
M. Ben-Akiva A dynamic model of peak period traffic
flows and delays in a corridor . . . . . 201--223
W. S. Yousif and
D. J. Evans Application of the AGE algorithm to the
SLOR and ADI methods . . . . . . . . . . 225--228
Anonymous Book reports . . . . . . . . . . . . . . 229--232
Anonymous Editorial: Software survey section . . . i--iii
Adam W. Bojanczyk and
Richard P. Brent A systolic algorithm for extended GCD
computation . . . . . . . . . . . . . . 233--238
D. Greenspan Quasimolecular modeling of cavity flow 239--248
L. Mansfield Finite element approximation of
stationary interior viscous flow
problems . . . . . . . . . . . . . . . . 249--254
L. F. Shampine Interpolation for variable order,
Runge--Kutta methods . . . . . . . . . . 255--260
C. Chiccoli and
S. Lorenzutta and
G. Maino A numerical method for generalized
exponential integrals . . . . . . . . . 261--268
J. W. Seaman, Jr. and
D. W. Turner and
D. M. Young Polyhedron graphs for displaying
multivariate data . . . . . . . . . . . 269--277
T. C. E. Cheng Minimizing the maximum deviation of job
completion time about a common due-date 279--283
V. Pan Algebraic complexity of computing
polynomial zeros . . . . . . . . . . . . 285--304
E. Y. Rodin Foreword . . . . . . . . . . . . . . . . vii--vii
D. Lee and
S. T. McDaniel Preface . . . . . . . . . . . . . . . . ix--ix
Anonymous Introduction . . . . . . . . . . . . . . 305--307
Anonymous Ocean acoustic wave propagation problems 309--316
Anonymous Finite difference schemes . . . . . . . 317--325
Anonymous Initial and boundary conditions . . . . 327--340
Anonymous Range step size analysis . . . . . . . . 341--349
Anonymous Wide-angle capability . . . . . . . . . 351--360
Anonymous Applicable solution methods other than
the implicit finite difference scheme 361--368
Anonymous Representative test examples . . . . . . 369--383
Anonymous Listing of computer codes . . . . . . . 385--419
Anonymous Reference citation index . . . . . . . . 421--421
Anonymous Subject index . . . . . . . . . . . . . 423--423
Anonymous Editorial: Software survey section . . . i--iii
B. Codenotti and
P. Favati New techniques for the solution of
linear systems by iterative methods . . 425--428
M. de la Sen A discrete stable robust MRAC design
with an extra adaptation parameter . . . 429--435
X. Ying and
I. N. Katz A uniform formulation for the
calculation of stress singularities in
the plane elasticity of a wedge composed
of multiple isotropic materials . . . . 437--458
E. Greenwell Yanik A discrete maximum principle for
collocation methods . . . . . . . . . . 459--464
H. P. Singh and
D. D. Tripathi and
R. B. Mishra The structure of magnetized rotating
polytropes . . . . . . . . . . . . . . . 465--469
L. S. Shieh and
S. Ganesan and
J. M. Navarro Transformations of a class of
time-varying multivariable control
systems to block companion forms . . . . 471--477
M. S. Petkovi\'c Some interval iterations for finding a
zero of a polynomial with error bounds 479--495
G. Adomian Semilinear wave equations . . . . . . . 497--499
Anonymous Book reports . . . . . . . . . . . . . . 501--503
Anonymous Editorial: Software survey section . . . i--iii
R. Seydel New methods for calculating the
stability of periodic solutions . . . . 505--510
H. P. Singh and
D. D. Tripathi and
R. B. Mishra Finite-difference methods for boundary
value problems at high Grashof number 511--518
R. P. Agarwal and
R. C. Gupta Linear methods for differential
equations of Sobolev type . . . . . . . 519--525
C.-A. Wang Multiple numerical solutions of buoyancy
induced flows of a vertical ice wall
melting in saturated porous media . . . 527--540
C. S. Yang and
J. F. Wang and
J. Y. Lee and
F. T. Boesch Reliability properties of the hypercube
network . . . . . . . . . . . . . . . . 541--548
H. Brunner Implicit Runge--Kutta--Nyström methods
for general second-order Volterra
integro-differential equations . . . . . 549--559
W. W. Hager Bidiagonalization and diagonalization 561--572
D. J. Hand and
G. M. Fitzmaurice Error rate estimation by mixture
decomposition . . . . . . . . . . . . . 573--578
Anonymous Editorial: Software survey section . . . i--iii
T. C. E. Cheng Optimal total-work-content-power
due-date determination and sequencing 579--582
V. A. Ubhaya An $O$ ( $n$ ) algorithm for least
squares quasi-convex approximation . . . 583--590
V. Pan Sequential and parallel complexity of
approximate evaluation of polynomial
zeros . . . . . . . . . . . . . . . . . 591--622
H. P. Singh and
D. D. Tripathi and
R. B. Mishra Structure of a point heat source near an
interface . . . . . . . . . . . . . . . 623--627
L. S. Shieh and
S. R. Lian and
C. B. Park and
N. P. Coleman Fast and stable recursive algorithms for
continuous-time and discrete-time model
conversions . . . . . . . . . . . . . . 629--644
K. Ranai Simulation performance of information
placement strategies . . . . . . . . . . 645--654
E. Y. Rodin Letters to the editor . . . . . . . . . 655--656
Anonymous About this issue . . . . . . . . . . . . vii--vii
Anonymous Author's guidelines . . . . . . . . . . ix--ix
M. Witten Mathematical modeling and computers in
medicine: Editor's remarks . . . . . . . xi--xii
J. R. Lumb Lymphocyte differentiation, repertoire
development and migration: the need for
mathematical models . . . . . . . . . . 657--697
D. R. Rigney Inherited rate model of the cell cycle:
Kinetics of related cells, EPI-genetics
of ribosomal DNA transcription and the
evaluation of cancer-therapy
fractionation schedules and doses . . . 699--739
H. Franke and
H. E. Wichmann and
C. S. Potten and
L. Todd Modelling of the influence of $^3$ HTdR
on cell kinetics in mouse epidermis . . 741--749
F. W. Schultz and
A. C. M. Martens and
A. Hagenbeek Computer simulation of the progression
of an acute myelocytic leukemia in the
brown Norway rat . . . . . . . . . . . . 751--761
A. Bertuzzi and
A. Gandolfi and
A. Germani and
R. Vitelli and
G. Badaracco and
G. Starace Study of cell kinetics by
computer-analyzed flow cytometric
histograms . . . . . . . . . . . . . . . 763--770
C. Rossi General software for the analysis of
cytofluorimetric data by E-M methods . . 771--782
W. Düchting and
Th. Vogelsaenger An approach of modelling and simulating
the spread of heterogeneous tumor cells
in a three-dimensional tissue segment 783--792
S. Gaglio and
M. Genovesi and
C. Ruggiero and
G. Spinelli and
C. Nicolini and
G. Bonadonna and
P. Valagussa Expert systems for cancer chemotherapy 793--802
P. Periti A system theoretical approach to the
optimization of cancer treatment . . . . 803--816
I. Kramer A dynamical model estimating the upper
and lower bounds of the infectivity of
the HTLV--III/LAV virus for the male
bisexual and homosexual population in
the absence of preventative measures . . 817--828
A. G. Shannon and
J. H. Clarke and
L. J. Hills Contingency relations for infectious
diseases . . . . . . . . . . . . . . . . 829--833
C. P. Tsokos and
M. N. O\uguztöreli A probabilistic model for breast cancer
survival data . . . . . . . . . . . . . 835--840
J. Eller and
I. Györi and
M. Zöllei and
F. Krizsa Modelling thrombopoiesis regulation ---
I: Model description and stimulation
results . . . . . . . . . . . . . . . . 841--848
I. Györi and
J. Eller Modelling thrombopoiesis regulation ---
II: Mathematical investigation of the
model . . . . . . . . . . . . . . . . . 849--859
W. D. Wosilait and
R. H. Luecke and
M. P. Ryan Numerical simulations of the infusion of
adriamycin using a physiological flow
model . . . . . . . . . . . . . . . . . 861--868
J. M. Robins and
H. Morgenstern The foundations of confounding in
epidemiology . . . . . . . . . . . . . . 869--916
J. M. Robins Errata to ``A new approach to causal
intefence in mortality studies with a
sustained exposure period ---
application to control of the healthy
worker survivor effect'' Mathl Modelling
\bf 7(9-12), 1393--1512 (1986) . . . . . 917--921
J. M. Robins Addendum to ``A new approach to causal
inference in mortality studies with a
sustained exposure period ---
application to control of the healthy
worker survivor effect'' . . . . . . . . 923--945
G. Stefanek Book Review: \booktitleThe handbook of
artificial intelligence: Vol. 1. by A.
Barr and E. A. Feigenbaum. Kaufman,
Calif. (1981). 409 pp. . . . . . . . . . 947--947
K. M. Walsh Book Review: \booktitleMicrocomputers
and laboratory instruments: By D. J.
Malcolme-Lawes. Plenum Press, New York,
(1984). 246 pp. . . . . . . . . . . . . 947--947
Z. Grossman Book Review: \booktitleSystem Theory in
Immunology (Lecture Notes in
Biomathematics): Vol. 32. Edited by S.
Levin Springer, New York (1979). 273 pp. 948--948
J. H. Graham Book Review: \booktitleRobot analysis
and control: By Haruhiko Asada and
Jean-Jacque E. Slotine.
Wiley--Interscience, New York (1986).
266 pp. . . . . . . . . . . . . . . . . 948--949
C. O'Connor Book Review: \booktitleImage analysis
and mathematical morphology: By J.
Serra. academic press, New York (1982) 949--949
K. Kamel Book Review: \booktitleProceedings
ISMIII'82: First IEEE Computer Society
International Symposium on Medical
Imaging and Image Interpretation:
Berlin, IEEE Computer Society Press
(1982). 610 pp. . . . . . . . . . . . . 950--950
R. A. Greenberg Book Review: \booktitleThe design and
analysis of clinical experiments: By
Joseph L. Fleiss. Wiley, New York
(1986). 432 pp. . . . . . . . . . . . . 950--951
C. O'Connor Book Review: \booktitleAn introduction
to multivariate statistical analysis:
2nd edn. by T. W. Anderson. 675 pp.
Wiley, New York (1984) . . . . . . . . . 951--951
G. Conway Book Review: \booktitleAdvanced graphics
with the IBM personal computer: By I. O.
Angell. Wiley, New York (1985). 273 pp. 951--952
E. Nicolau Book Review: \booktitleTechnical,
technological and social implications of
bioengineering (implicatii tehnice,
tehnologice si sociale ale
bioingineriei): By E. Niculescu-Mizil.
Editura Stiintific\ua si
enciclopedic\ua, Bucuresti (1982) 240
pp. 13 lei . . . . . . . . . . . . . . . 952--953
M. Witten Math advantage . . . . . . . . . . . . . 955--955
G. Conway Fastback . . . . . . . . . . . . . . . . 956--957
G. Conway Lightning . . . . . . . . . . . . . . . 957--958
Anonymous Editorial Board . . . . . . . . . . . . i--i
Anonymous Software survey section . . . . . . . . i--iii
Anonymous Announcement . . . . . . . . . . . . . . iv--iv
J.-P. Berrut Rational functions for guaranteed and
experimentally well-conditioned global
interpolation . . . . . . . . . . . . . 1--16
J. C. Misra and
S. I. Singh Study on the mechanics of aneurysms in
the left ventricle of the heart . . . . 17--27
M. R. Chernick and
V. K. Murthy and
C. D. Nealy Estimation of error rate for linear
discriminant functions by resampling:
Non-Gaussian populations . . . . . . . . 29--37
D. A. Murio and
C. C. Roth An integral solution for the inverse
heat conduction problem after the method
of Weber . . . . . . . . . . . . . . . . 39--51
L. Devroye The expected size of some graphs in
computational geometry . . . . . . . . . 53--64
G. Adomian Elliptic equations and decomposition . . 65--67
W. J. Turner Better leak detection in gas pipelines 69--75
D. J. Evans and
B. B. Sanugi A nonlinear trapezoidal formula for the
solution of initial value problems . . . 77--79
Anonymous Editorial: Software survey section . . . i--iii
Anonymous Applications of supercomputers in
engineering: Southampton University,
England 5--7 September 1989 . . . . . . iv--iv
Anonymous Call for papers: Advances in partial
differential equations (an annual
special issue of \booktitleComputers &
Mathematical with Applications) . . . . iv--iv
W. A. Webb A nonlinear public key cryptosystem . . 81--84
J. C. Misra and
S. Samanta A mathematical model for the
biomechanics of the body of a vertebra 85--96
N. Medhin and
M. Sambandham Numerical solution of a system of random
Volterra integral equations-1.
Successive approximation method . . . . 97--105
R. P. Agarwal Boundary value problems for second order
differential equations of Sobolev type 107--118
K. Ranai and
P. H. Leng Topological reliability analysis of
local-area computer networks . . . . . . 119--129
R. S. Bucy and
L. A. Campbell Determination of steady state behavior
for periodic discrete filtering problems 131--140
D. Greenspan Quasimolecular channel and vortex street
modeling on a supercomputer . . . . . . 141--151
M. Alborzi Sampling plan . . . . . . . . . . . . . 153--157
Anonymous Book reports . . . . . . . . . . . . . . 159--160
Anonymous Software survey section . . . . . . . . i--iii
Anonymous Applications of supercomputers in
engineering . . . . . . . . . . . . . . iv--iv
Anonymous Call for papers . . . . . . . . . . . . iv--iv
H. P. Singh and
D. D. Tripathi and
R. B. Mishra Physical study of steady
electromagnetofluid-dynamic viscous
flows . . . . . . . . . . . . . . . . . 161--168
S. J. Kim and
J. T. Oden A note on the numerical analysis of
material damage based on the theory of
materials of type $N$ . . . . . . . . . 169--174
S. Chowdhury and
M. A. Breuer Optimization algorithms for a class of
nonlinear programming problems . . . . . 175--184
Z. Zlatev and
H. B. Nielsen Solving large and sparse linear
least-squares problems by conjugate
gradient algorithms . . . . . . . . . . 185--202
D. A. Voss and
S. M. Serbin Two-step hybrid methods for periodic
initial value problems . . . . . . . . . 203--208
J. L. Lambert Finding a partial solution to a linear
system of equations in positive integers 209--212
L. F. Shampine and
W. Zhang Efficient integration of ordinary
differential equations by transformation 213--220
H.-W. D. Chiang and
S. Fleeter Locally analytical prediction of the
steady inviscid incompressible flow
through an airfoil cascade . . . . . . . 221--233
Anonymous Book reports . . . . . . . . . . . . . . 235--240
Frank Harary and
Keith Phillips Preface . . . . . . . . . . . . . . . . vii--vii
C. A. Barefoot and
R. Entringer Computer observations of cycles in cubic
graphs . . . . . . . . . . . . . . . . . 241--246
C. Esposito Graph graphics: Theory and practice . . 247--253
G. Exoo Some new computer generated results in
Ramsey graph theory . . . . . . . . . . 255--257
M. Goldberg and
Z. Miller A parallel algorithm for bisection width
in trees . . . . . . . . . . . . . . . . 259--266
Niall Graham and
Frank Harary Covering and packing in graphs --- V:
Mispacking subcubes in hypercubes . . . 267--270
Frank Harary Cubical graphs and cubical dimensions 271--275
Frank Harary and
John P. Hayes and
Horng-Jyh Wu A survey of the theory of hypercube
graphs . . . . . . . . . . . . . . . . . 277--289
Frank Harary and
D. Frank Hsu Node-graceful graphs . . . . . . . . . . 291--298
Frank Harary and
Martin Lewinter The starlike trees which span a
hypercube . . . . . . . . . . . . . . . 299--302
W. C. Herndon Graph codes and a definition of
structural similarity . . . . . . . . . 303--309
William H. Julian Banyan models for the parallel
implementation of the fast Fourier
transform algorithm . . . . . . . . . . 311--317
Michael J. Manthey and
Keith Phillips A unique hierarchy on the successive
condensations of a digraph . . . . . . . 319--323
D. Partridge Connectionist networks qua graphs . . . 325--331
F. Richman Computers, trees and Abelian groups . . 333--336
R. W. Schvaneveldt and
D. W. Dearholt and
F. T. Durso Graph theoretic foundations of
pathfinder networks . . . . . . . . . . 337--345
Anonymous Editorial: Software survey section . . . i--iii
Anonymous ASE 89: Applications of supercomputers
in engineering . . . . . . . . . . . . . v
Anonymous Call for papers . . . . . . . . . . . . v
E. Y. Rodin The importance of being Robert Maxwell:
an appraisal . . . . . . . . . . . . . . v--vi
Anonymous Second IMACS international symposium on
computational acoustics . . . . . . . . vi
H. P. Singh and
D. D. Tripathi and
H. K. Pandey The development of
circulation-preserving MHD flows via
spherical mapping . . . . . . . . . . . 347--350
K. P. Chung Steady state solution and convergence
rate of time-dependent Markov chains of
queuing networks . . . . . . . . . . . . 351--358
I. Bencsik and
Gy. Michaletzky Generalized least squares innovation
representation . . . . . . . . . . . . . 359--365
J. M. Martínez An accelerated successive orthogonal
projections method for solving
large-scale linear feasibility problems 367--373
W. D. Gropp Local uniform mesh refinement on
loosely-coupled parallel processors . . 375--387
M. De La Sen A robust indirect discrete
adaptive-control approach based on
passivity results for nonlinear systems 389--403
P. K. Bhattacharyya and
S. Gopalsamy An equilibrium finite element method for
fourth order elliptic equations with
variable coefficients . . . . . . . . . 405--424
Anonymous Book reports . . . . . . . . . . . . . . 425--426
Anonymous About this issue . . . . . . . . . . . . vii--vii
Anonymous Author's guidelines . . . . . . . . . . ix--ix
Anonymous Foreword . . . . . . . . . . . . . . . . xi--xi
T. V. Kostova Numerical solutions of a hyperbolic
differential-integral equation . . . . . 427--436
S. A. Obaid and
A. Benharbit Stream functions of certain rotating
cylinders . . . . . . . . . . . . . . . 437--446
Q. Du and
M. Gunzburger and
W. Layton A low dispersion, high accuracy finite
element method for first order
hyperbolic systems in several space
variables . . . . . . . . . . . . . . . 447--457
F. Bloom Formation of shock discontinuities for a
class of nonlinear transmission lines 459--472
B. Cahlon Existence theorems of random solutions
to stochastic functional integral
equations . . . . . . . . . . . . . . . 473--481
D. S. Chandrasekharaiah and
K. S. Srinath and
L. Debnath Magneto-thermo-elastic disturbances with
thermal relaxation in a solid due to
heat sources . . . . . . . . . . . . . . 483--490
F. Bloom Almost global existence in the plane
wave- nonlinear dielectric interaction
problem . . . . . . . . . . . . . . . . 491--510
Jia Li Persistence and extinction in continuous
age-structured population models . . . . 511--523
S. S. Hu and
X. M. Shao Adaptive hybridized spline
differentiators for numerical solution
of the advection equation . . . . . . . 525--534
L. A. Bales Error estimates for single step fully
discrete approximations for nonlinear
second order hyperbolic equations . . . 535--553
J. H. Swart Hopf bifurcation and the stability of
non-linear age-dependent population
models . . . . . . . . . . . . . . . . . 555--564
K. Schuhmacher and
H. Thieme Some theoretical and numerical aspects
of modelling dispersion in the
development of ectotherms . . . . . . . 565--594
H. Holden and
L. Holden and
R. Hòegh-Krohn A numerical method for first order
nonlinear scalar conservation laws in
one-dimension . . . . . . . . . . . . . 595--602
M. A. Astaburuaga and
C. Fernandez and
G. Perla Menzala Huygens' principle and semilinear wave
equations . . . . . . . . . . . . . . . 603--609
E. A. Socolovsky Lagrangian non-oscillatory and FEM
schemes for the porous media equation 611--617
S. K. Dey Effects of boundary conditions on
numerical solution of implicit
hyperbolic difference equations . . . . 619--622
E. J. Kansa Shock computations with adaptive mesh
refinement and moving grids . . . . . . 623--634
I. Györi The method of lines for the solutions of
some nonlinear partial differential
equations . . . . . . . . . . . . . . . 635--658
D. J. Evans and
M. S. Sahimi Group explicit methods for hyperbolic
equations . . . . . . . . . . . . . . . 659--697
M. S. Sahimi and
D. J. Evans Group explicit methods for the numerical
solution of the wave equation . . . . . 699--709
G. Adomian Corrigenda and comment on ``A general
approach to solution of partial
differential equation systems'' . . . . 711--711
Anonymous Editorial: Software survey section . . . i--iii
T. Wada and
H. Akaike and
Y. Yamada and
E. Udagawa Application of multivariate
autoregressive modelling for analysis of
immunologic networks in man . . . . . . 713--722
A. Tuzhilin Atomatics as mathematical modelling and
knowledge representation: Applications
to systems analysis in computer and
information sciences . . . . . . . . . . 723--742
H. S. Green and
T. Triffet Information processing by the cortex . . 743--756
G. Drauschke and
M. Tasche Exact deconvolution using
number-theoretic transforms . . . . . . 757--768
P. L. Mills and
P. A. Ramachandran Mathematical modelling of chemical
engineering systems by finite element
analysis using PDE/PROTRAN . . . . . . . 769--794
Anonymous Book reports . . . . . . . . . . . . . . 795--796
Anonymous Preface . . . . . . . . . . . . . . . . vii--vii
D. Dubois and
H. Prade Incomplete conjunctive information . . . 797--810
L. Baowen and
W. Peizhuang and
L. Xihui and
S. Yong Fuzzy bags and relations with set-valued
statistics . . . . . . . . . . . . . . . 811--818
J. W. Davenport and
J. C. Bezdek and
R. J. Hathaway Parameter estimation for finite mixture
distributions . . . . . . . . . . . . . 819--828
C. S. McCahon and
E. S. Lee Project network analysis with fuzzy
activity times . . . . . . . . . . . . . 829--838
J. Bigham The inductive inference of pattern
recognition rules which are capable of a
linguistic interpretation . . . . . . . 839--862
J.-Y. Wu and
V. Van Brunt and
W.-R. Zhang and
J. C. Bezdek Tower packing evaluation using
linguistic variables . . . . . . . . . . 863--869
M. L. N. McAllister Fuzzy intersection graphs . . . . . . . 871--886
E. S. Lee and
R.-J. Li Comparison of fuzzy numbers based on the
probability measure of fuzzy events . . 887--896
Anonymous Editorial: Software survey section . . . i--iii
Anonymous Softstrip data strip containing the
table of contents of this issue . . . . iv--iv
M. R. Chernick and
C. D. Nealy and
V. K. Murthy Resampling-type error rate estimation
for linear discriminant functions:
Pearson VII distributions . . . . . . . 897--902
J. S. H. Tsai and
L. S. Shieh and
R. E. Yates Fast and Stable Algorithms for Computing
the Principal $n$ th Root of a Complex
Matrix and the Matrix Sector Function 903--913
L. Schroeder and
S. Fleeter Locally analytic numerical method and
application to viscous internal and
external flows . . . . . . . . . . . . . 915--932
B. Codenotti The bit-cost of some algorithms for the
solution of linear systems . . . . . . . 933--937
M. Haghighi Computation of prime numbers by using a
probabilistic algorithm . . . . . . . . 939--942
L. Baringhaus and
N. Henze and
D. Morgenstern Some elementary proofs of the normality
of $ X Y(X^2 + Y^2){^12} $ when $X$ and
$Y$ are normal . . . . . . . . . . . . . 943--944
J. C. Turner, Jr. and
M. D. Gunzburger An analysis of finite element
approximations for an algebraic model of
turbulence . . . . . . . . . . . . . . . 945--951
O. Rand Harmonic variables --- a new approach to
nonlinear periodic problems . . . . . . 953--961
H. Sugiyama and
E. S. Lee Stochastic approximation --- a powerful
method for solving deterministic
numerical problems . . . . . . . . . . . 963--967
S. H. Bakry and
M. Shatila Pascal functions for the generation of
random numbers . . . . . . . . . . . . . 969--973
Anonymous Book reports . . . . . . . . . . . . . . 975--976
Anonymous Editorial: Software survey section . . . i--iii
Anonymous List of contents and author index volume
15, 1988 . . . . . . . . . . . . . . . . i--xi
J. Takche Complexities of special matrix
multiplication problems . . . . . . . . 977--989
B. B. Sanugi and
D. J. Evans A new fourth order Runge--Kutta formula
for $y$ ' = Ay with stepsize control . . 991--995
N. Friedman and
A. Boyarsky and
M. Scarowsky Ergodic properties of computer orbits
for simple piecewise monotonic
transformations . . . . . . . . . . . . 997--1006
C.-A. Wang and
S.-J. Wang Multiple similarity solutions of
buoyancy induced flows for ice melting
in cold pure water . . . . . . . . . . . 1007--1017
N. Engersbach Great circle stereographic trajectory
representation . . . . . . . . . . . . . 1019--1028
M. Torabi and
J. A. Dracup A sequential linear programming approach
to solve mixed integer programming
problems . . . . . . . . . . . . . . . . 1029--1039
Y. Wu The generating function for the solution
of ODEs and its discrete methods . . . . 1041--1050
Anonymous Book reports . . . . . . . . . . . . . . 1051--1052
Anonymous Editorial Board . . . . . . . . . . . . i--i
Anonymous Softstrip data strip . . . . . . . . . . i--i
B. Neta and
I. M. Navon Introduction . . . . . . . . . . . . . . vii--vii
A. Staniforth and
J. Mailhot An operational model for regional
weather forecasting . . . . . . . . . . 1--22
J. Steppeler A Galerkin finite element-spectral
weather forecast model in hybrid
coordinates . . . . . . . . . . . . . . 23--30
C. A. J. Fletcher Computational modelling of severe
gradients with mass operator
constructions . . . . . . . . . . . . . 31--39
R. L. Lee and
J. M. Leone, Jr. A modified finite element model for
mesoscale flows over complex terrain . . 41--56
E. S. Takle and
R. D. Russell Applications of the finite element
method to modeling the atmospheric
boundary layer . . . . . . . . . . . . . 57--68
M. J. P. Cullen and
G. J. Shutts Numerical modelling of balanced
atmospheric flow . . . . . . . . . . . . 69--91
Z. Zlatev and
R. Berkowicz Numerical treatment of large-scale air
pollution models . . . . . . . . . . . . 93--109
B. Neta and
C. L. DeVito The transfer function analysis of
various schemes for the two-dimensional
shallow-water equations . . . . . . . . 111--137
M. Kawahara and
T. Kodama and
M. Kinoshita Finite element method for tsunami wave
propagation analysis considering the
open boundary condition . . . . . . . . 139--152
P. C. Sinha and
A. K. Mitra Tidally induced residual circulation . . 153--167
R. Franke and
E. Barker and
J. Goerss The use of observed data for the
initial-value problem in numerical
weather prediction . . . . . . . . . . . 169--184
Anonymous Software survey section . . . . . . . . i--iii
M. Geppini and
F. Romani Automatic quadrature on Chebyshev points 185--193
I. Györi Two approximation techniques for
functional differential equations . . . 195--214
B. Pourbabai Tandem behavior of an M/M/1/N $ \to $
G/M/1 queuing system . . . . . . . . . . 215--220
D. H. Mugler and
R. A. Scott Fast Fourier Transform method for
partial differential equations, case
study: the $2$-D diffusion equation . . 221--228
P. J. Szab\lowski Optimal, recursive procedures of
identification . . . . . . . . . . . . . 229--246
J. C. Misra and
S. Roy Free and forced vibrations of the
cranial vault: Study of a mathematical
model . . . . . . . . . . . . . . . . . 247--266
Anonymous Book reports . . . . . . . . . . . . . . 267--268
Anonymous Editorial: Software survey section . . . i--iii
Anonymous Symposium on advances and trends in
computational structural mechanics and
fluid dynamics . . . . . . . . . . . . . v
Anonymous Seventh International Conference on
Mathematical and Computer Modelling . . vi
K. N. A. Safwat and
B. D. Brademeyer Proof of global convergence of an
efficient algorithm for predicting trip
generation, trip distribution, modal
split and traffic assignment
simultaneously on large-scale networks 269--277
R. Manohar and
T. Y. Ngai Application of iteration functions to
elliptic partial differential equations 279--285
P. Achuthan and
S. Sundar A new application of the extended
Euclidean algorithm for matrix padé
approximants . . . . . . . . . . . . . . 287--296
C.-A. Wang Buoyancy-induced flows in porous media 297--305
E. Zung and
J. Angeles Simulation of finite-dimensional linear
dynamical systems using zero-order holds
and numerical-stabilization methods . . 307--320
P. Góra and
A. Boyarsky Why computers like Lebesgue measure . . 321--329
D. Greenspan Mechanisms of capillarity via
supercomputer simulation . . . . . . . . 331--340
I. J. D. Craig and
A. D. Sneyd An alternating-direction implicit scheme
for parabolic equations with mixed
derivatives . . . . . . . . . . . . . . 341--350
I. Hargittai and
B. K. Vainshtein Preface . . . . . . . . . . . . . . . . ix--ix
B. K. Vainshtein A. V. Shubnikov and his ideas in modern
crystallography . . . . . . . . . . . . 351--356
A. V. Shubnikov On the works of Pierre Curie on symmetry 357--364
A. V. Shubnikov Symmetry of similarity . . . . . . . . . 365--371
A. V. Shubnikov Antisymmetry of textures . . . . . . . . 373--377
I. S. Zheludev Space and time symmetry . . . . . . . . 379--384
H. Hauptman The role of crystallographic symmetry in
the direct methods of X-ray
crystallography . . . . . . . . . . . . 385--396
J. Karle Origin specification by use of phases 397--406
V. A. Koptsik Generalized symmetry in crystal physics 407--424
P. Engel Mathematical problems in modern
crystallography . . . . . . . . . . . . 425--436
I. Tarján Cooperation with the Shubnikov Institute
of the Soviet Academy of Sciences . . . 437--441
L. A. Aslanov Crystal symmetry and atomic interactions 443--451
V. P. Sakhnenko and
G. M. Chechin Symmetry methods and space group
representations in the theory of phase
transitions . . . . . . . . . . . . . . 453--464
E. Hartmann Symmetry in an equilibrium position . . 465--468
K. Fichtner Order-disorder structures . . . . . . . 469--477
G. B. Bokiç Theory of crystal symmetry upon the
derivation of the $ 230 $ space groups 479--485
P. M. de Wolff Definition of Niggli's lattice
characters . . . . . . . . . . . . . . . 487--492
V. Kopský Towards a system in space group
representations . . . . . . . . . . . . 493--505
E. Molnár Minimal presentation of crystallographic
groups by fundamental polyhedra . . . . 507--520
G. M. Chechin and
V. A. Koptsik Relation between multidimensional
representations of the Fedorov groups
and the groups of color symmetry . . . . 521--536
E. V. Chuprunov and
T. S. Kuntsevich $n$-dimensional space groups and regular
point systems . . . . . . . . . . . . . 537--543
M. Senechal Color symmetry . . . . . . . . . . . . . 545--553
A. M. Zamorzaev Generalized antisymmetry . . . . . . . . 555--562
N. L. Smirnova and
V. S. Urusov Fundamental law of crystal chemistry by
Shubnikov, its applications and
restrictions . . . . . . . . . . . . . . 563--567
B. B. Zvyagin Polytypism of crystal structures . . . . 569--591
I. I. Shafranovskii and
G. I. Shafranovskii The law of correlation of symmetry and
statistics in the mineral world . . . . 593--596
S. V. Rudnev Application of elliptic Reimannian
geometry to problems of crystallography 597--616
Gy. Rontó and
K. Tóth and
L. A. Feigin and
D. I. Svergun and
A. T. Dembo Symmetry and structure of bacteriophage
T7 . . . . . . . . . . . . . . . . . . . 617--628
A. Rockenbauer Invariance and the uncertainty principle
in EPR spectroscopy of crystals and
liquids . . . . . . . . . . . . . . . . 629--635
B. N. Grechushnikov and
A. F. Konstantinova Crystal optics of absorbing and
gyrotropic media . . . . . . . . . . . . 637--655
E. N. Ovchinnikova and
R. N. Kuz'min Symmetry in the nuclear solid state
physics . . . . . . . . . . . . . . . . 657--661
I. Hargittai Symmetries in Moscow and Leningrad . . . 663--669
Anonymous Software survey section . . . . . . . . i--iv
Anonymous Softstrip data strip . . . . . . . . . . ii
Anonymous Workshop on reliability in computational
mechanics . . . . . . . . . . . . . . . v
Anonymous Chaos & graphics . . . . . . . . . . . . v--vi
S. V. R. Rao and
J. A. Rasmussen Stochastic models in water resource
engineering utilizing micro-computers 671--676
S. V. R. Rao and
J. A. Rasmussen Micro-computer applications in water
resource engineering . . . . . . . . . . 677--682
J. S. H. Tsai and
L. S. Shieh and
T. T. C. Shen Block power method for computing
solvents and spectral factors of matrix
polynomials . . . . . . . . . . . . . . 683--699
G. Molnárka and
B. Ráczkevi Implicit single step methods by
spline-like functions for solution of
ordinary differential equations . . . . 701--704
N. K. Jha and
M. B. Vora A $t$-unidirectional error-detecting
systematic code . . . . . . . . . . . . 705--714
T.-C. Huang and
J.-F. Wang and
C.-S. Yang and
J.-Y. Lee The number of spanning trees of the
generalized Boolean $n$-cube network . . 715--725
S. A. Hannaby A mapping method for mesh generation . . 727--735
J. A. Snyman and
M. van Rooyen A conjugate direction gradient method
with reconnaissance steps for
unconstrained minimization . . . . . . . 737--745
T. F. Lemczyk and
M. M. Yovanovich Efficient evaluation of incomplete
elliptic integrals and functions . . . . 747--757
N. Bellomo and
L. M. de Socio and
R. Monaco Random heat equation: Solutions by the
stochastic adaptive interpolation method 759--766
Anonymous Book reports . . . . . . . . . . . . . . 767--768
Ervin Y. Rodin Letter from the editor . . . . . . . . . 769--769
Anonymous Corrigendum . . . . . . . . . . . . . . 771--771
A. O. Esogbue Mathematics, computers and systems:
Tripartite interconnections . . . . . . 773--777
R. L. Carraway and
T. L. Morin Theory and applications of generalized
dynamic programming: an overview . . . . 779--788
K. Y. K. Ng and
N. G. F. Sancho Dynamic programming, reduction of
dimensionality and eigenvalue problems 789--799
A. O. Esogbue and
N. A. Warsi A high level dynamic programming
algorithm for processing nonserial
looped systems . . . . . . . . . . . . . 801--813
T. Odanaka Information and decision in optimal
inventory processes . . . . . . . . . . 815--822
P. Wuyts and
R. Lowen and
E. Lowen Reflectors and coreflectors in the
category of fuzzy topological spaces . . 823--836
M. Sniedovich C-programming: a nonlinear parametric
optimization method . . . . . . . . . . 837--844
O. C. Ibe and
A. O. Esogbue Application of Lagrangian relaxation to
computer network control . . . . . . . . 845--850
E. N. Chukwu The time control theory of linear
differential equations of neutral type 851--866
N. G. Medhin A mixed min-max control problem governed
by integral equations . . . . . . . . . 867--875
N. G. Medhin A mixed min-max control problem with
state restrictions $I$ . . . . . . . . . 877--886
D. Sarafyan Families of continuous approximate
processes for the solution of ordinary
differential equations . . . . . . . . . 887--894
L. Deer and
C. Outlaw and
D. Sarafyan Higher order continuous solution of $
y'' = f(x, y, y') $ and $ y'' = f(x, y)
$ initial value problems . . . . . . . . 895--902
G. Adomian Solving the nonlinear equations of
physics . . . . . . . . . . . . . . . . 903--914
M. Sambandham and
V. Thangaraj and
K. B. Bota Numerical solution of random Love's
integral equation . . . . . . . . . . . 915--920
M. Sambandham and
T. S. Srivatsan and
K. B. Bota Approximation and numerical treatment of
an autoregressive equation with
stochastic coefficients . . . . . . . . 921--927
C. S. Lee and
G. Leitmann Continuous feedback guaranteeing uniform
ultimate boundedness for uncertain
linear delay systems: an application to
river pollution control . . . . . . . . 929--938
W. F. Ames Analysis of mathematical models for
pollutant transport and dissipation . . 939--965
A. O. Esogbue and
C. Y. Lee Optimal analysis of large complex water
resources conveyance systems via
nonserial dynamic programming . . . . . 967--981
Anonymous Software survey section . . . . . . . . i--iii
Anonymous List of contents and author index Volume
16, 1988 . . . . . . . . . . . . . . . . i--x
Anonymous Announcements . . . . . . . . . . . . . v--vii
L. Mitás and
H. Mitásová General variational approach to the
interpolation problem . . . . . . . . . 983--992
J. C. Misra and
B. K. Sahu Flow through blood vessels under the
action of a periodic acceleration field:
a mathematical analysis . . . . . . . . 993--1016
J. C. Misra and
S. Samanta A mathematical analysis of the vibration
characteristics of the human tibia . . . 1017--1026
D. A. Murio Noise reconstruction for the inverse
heat conduction problem . . . . . . . . 1027--1033
F. D. van Niekerk Rational one-step methods for initial
value problems . . . . . . . . . . . . . 1035--1039
S. A. Shah $P$-stable modification of the Numerov
method . . . . . . . . . . . . . . . . . 1041--1043
D. J. Evans The age Galerkin method for solving
two-point boundary value problems . . . 1045--1055
B. Codenotti and
C. Puglisi Matrix--vector multiplication: Parallel
algorithms and architectures . . . . . . 1057--1063
T. A. Blanco and
I. A. Krass and
C. Louie An application of dynamic modeling to
the sea shore rotation planning problem
in the Navy . . . . . . . . . . . . . . 1065--1077
Anonymous Editorial Board . . . . . . . . . . . . i--iii
Anonymous Papers to appear in symmetry 2: Unifying
human understanding (part 2) . . . . . . ix--ix
Anonymous Preface . . . . . . . . . . . . . . . . xi--xi
M. Senechal Symmetry revisited . . . . . . . . . . . 1--12
J. Rosen Symmetry at the foundations of science 13--15
A. A. Chernikov and
R. Z. Sagdeev and
D. A. Usikov and
G. M. Zaslavsky Symmetry and chaos . . . . . . . . . . . 17--32
A. L. Loeb The magic of the pentangle: Dynamic
symmetry from Merlin to Penrose . . . . 33--48
R. Brown Symmetry, groupoids and
higher-dimensional analogues . . . . . . 49--57
H. S. M. Coxeter Trisecting an orthoscheme . . . . . . . 59--71
P. Hilton and
J. Pedersen Duality and the Descartes deficiency . . 73--88
P. Hilton and
J. Pedersen Extending the binomial coefficients to
preserve symmetry and pattern . . . . . 89--102
S. Marcus Symmetry in the simplest case: the real
line . . . . . . . . . . . . . . . . . . 103--115
J. Pach Delicate symmetry . . . . . . . . . . . 117--124
C. A. Pickover Halley maps for a trigonometric and
rational function . . . . . . . . . . . 125--132
A. Hill and
D. G. Larman A class of symmetric polytopes . . . . . 133--136
L. Telegdi Arrangements of minimal variance ---
multidimensional scaling in the
symmetrical case . . . . . . . . . . . . 137--145
D. Chavey Tilings by regular polygons --- II: a
catalog of tilings . . . . . . . . . . . 147--165
G. M. Fleurent Symmetry and polyhedral stellation ---
Ia . . . . . . . . . . . . . . . . . . . 167--175
G. M. Fleurent Symmetry and polyhedral stellation ---
Ib . . . . . . . . . . . . . . . . . . . 177--193
P. W. Messer and
M. J. Wenninger Symmetry and polyhedral stellation ---
II . . . . . . . . . . . . . . . . . . . 195--201
H. F. Verheyen The complete set of Jitterbug
transformers and the analysis of their
motion . . . . . . . . . . . . . . . . . 203--250
G. Fejes Tóth and
L. Fejes Tóth A geometrical analogue of the phase
transformation of crystals . . . . . . . 251--254
G. M. Chechin Computers and group-theoretical methods
for studying structural phase
transitions . . . . . . . . . . . . . . 255--278
A. V. Malikov Structural theory of space-time and
intrapoint symmetry . . . . . . . . . . 279--299
A. T. Fomenko Visual and hidden symmetry in geometry 301--320
C. A. Pickover Mathematics and beauty --- VIII:
Tesselation automata derived from a
single defect . . . . . . . . . . . . . 321--336
L. Pauling Interpretation of so-called icosahedral
and decagonal quasicrystals of alloys
showing apparent icosahedral symmetry
elements as twins of an $ 820$-atom
cubic crystal . . . . . . . . . . . . . 337--339
J. L. Finney Local pseudosymmetry in simple liquids 341--354
S. J. Cyvin and
J. Brunvoll and
B. N. Cyvin Topological aspects of benzenoids and
coronoids, including ``snowflakes'' and
``laceflowers'' . . . . . . . . . . . . 355--374
E. R. Kouyoumdjian A set theoretic approach to the symmetry
analysis of hexcadecahedrane . . . . . . 375--395
A. T. Balaban Carbon and its nets . . . . . . . . . . 397--416
H. W. Kroto C$_{60}^B$ buckminsterfullerene, other
fullerenes and the icospiral shell . . . 417--423
M. Ács Asymmetry through the eyes of a(nother)
chemist . . . . . . . . . . . . . . . . 425--441
S. Lengyel Chemical kinetics and thermodynamics: a
history of their relationship . . . . . 443--455
K. Gavro\uglu Symmetries and the notion of
elementarity in high energy physics . . 457--465
J. Parisi and
J. Peinke and
B. Röhricht and
K. M. Mayer and
U. Rau Symmetry-breaking pattern formation in
semiconductor physics: Spatio-temporal
current structures during avalanche
breakdown . . . . . . . . . . . . . . . 467--473
P. Locher and
C. Nodine The perceptual value of symmetry . . . . 475--484
A. H. Lowrey Mind's eye . . . . . . . . . . . . . . . 485--503
S. V. Petukhov Non-Euclidean geometries and algorithms
of living bodies . . . . . . . . . . . . 505--534
R. Dixon Spiral phyllotaxis . . . . . . . . . . . 535--538
G. Mazzola and
H.-G. Wieser and
V. Brunner and
D. Muzzulini A symmetry-oriented mathematical model
of classical counterpoint and related
neurophysiological investigations by
depth EEG . . . . . . . . . . . . . . . 539--594
J. F. Liebman and
J. M. Richter and
M. J. Bienlein and
S. S. Kulkarni Square spirals, dimensionality and
biopolymers . . . . . . . . . . . . . . 595--611
A. P. Stakhov The golden section in the measurement
theory . . . . . . . . . . . . . . . . . 613--638
T. Tarnai Buckling patterns of shells and
spherical honeycomb structures . . . . . 639--652
B. P. Fabricand Symmetry in free markets . . . . . . . . 653--669
M. Apagyi Symmetries in music teaching . . . . . . 671--695
L. Bencze Uncertainty principle and symmetry in
metaphors . . . . . . . . . . . . . . . 697--708
A. Hill Modern symmetry . . . . . . . . . . . . 709--713
Sz. Bérczi Symmetry and technology in ornamental
art of old Hungarians and
Avar--Onogurians from the archaeological
finds of the Carpathian Basin, Seventh
to Tenth Century A.D. . . . . . . . . . 715--730
P. J. Campbell The geometry of decoration on
prehistoric Pueblo pottery from
Starkweather Ruin . . . . . . . . . . . 731--749
W. K. Chorbachi In the Tower of Babel: Beyond symmetry
in Islamic design . . . . . . . . . . . 751--789
P. Gerdes Reconstruction and extension of lost
symmetries: Examples from the Tamil of
South India . . . . . . . . . . . . . . 791--813
A. Haake The role of symmetry in Javanese batik
patterns . . . . . . . . . . . . . . . . 815--826
J. G. Harries Symmetry in the movements of T'ai Chi
Chuan . . . . . . . . . . . . . . . . . 827--835
M. Rozsondai and
B. Rozsondai Symmetry aspects of bookbindings . . . . 837--885
L. de Freitas $ 515 $ --- a symmetric number in Dante 887--897
S. Kerr Symmetry in Christian time and space . . 899--906
M. Di Cerbo Urban symmetry . . . . . . . . . . . . . 907--911
A. Senior Symmetry and wayward nature . . . . . . 913--919
Y.-M. Ha Symmetry in pictures by young Chinese
children . . . . . . . . . . . . . . . . 921--930
F. Lantos From geometrical rigor to visual
experience . . . . . . . . . . . . . . . 931--953
E. Makovicky Ornamental brickwork: Theoretical and
applied symmetrology and classification
of patterns . . . . . . . . . . . . . . 955--999
H. J. McWhinnie Influences of the ideas of Jay Hambidge
on art and design . . . . . . . . . . . 1001--1008
L.-X. Yu Symmetry in Chinese arts and crafts . . 1009--1026
O. Zouni Space $ \rightleftharpoons $ color $
\rightleftharpoons $ symmetry . . . . . 1027--1040
J. Zvilna Ad infinitum . . . . . . . . . . . . . . 1041--1066
I. Hargittai The joy of symmetry . . . . . . . . . . 1067--1072
Anonymous Editorial: Software survey section . . . i--iii
M. Orlowski and
M. Pachter An algorithm for the determination of a
longest increasing subsequence in a
sequence . . . . . . . . . . . . . . . . 1073--1075
A. Jazcilevich and
R. P. Tewarson A stability criterion for explicit
boundary value Runge--Kutta methods . . 1077--1083
F. D. van Niekerk and
A. van Niekerk A Galerkin method using rational basis
functions . . . . . . . . . . . . . . . 1085--1093
S. Yakowitz A statistical foundation for machine
learning, with application to Go-Moku 1095--1102
T. C. E. Cheng and
S. Li Some observations and extensions of the
optimal TWK-power due-date determination
and sequencing problem . . . . . . . . . 1103--1107
M. S. Petkovi\'c and
L. D. Petkovi\'c A computational test for the existence
of polynomial zero . . . . . . . . . . . 1109--1114
A. Rosen and
A. Isser Recent studies on the lifting surface
theory . . . . . . . . . . . . . . . . . 1115--1130
P. N. Tandon and
R. Agarwal A study of nutritional transport in a
synovial joint . . . . . . . . . . . . . 1131--1141
R.-J. Li and
E. S. Lee Analysis of fuzzy queues . . . . . . . . 1143--1147
I. J. D. Craig and
A. D. Sneyd The acceleration of matrix power methods
by cyclic variations of the shift
parameter . . . . . . . . . . . . . . . 1149--1159
Anonymous Book reports . . . . . . . . . . . . . . 1161--1161
Anonymous Software report . . . . . . . . . . . . 1163--1163
Anonymous Preface . . . . . . . . . . . . . . . . vii--viii
M. Aoki A two-step state space time series
modeling method . . . . . . . . . . . . 1165--1176
A. M. Havenner and
K. R. Criddle System theoretic time series: an
application to inventories and prices of
California range cattle . . . . . . . . 1177--1187
S. Mittnik Multivariate time series analysis with
state space models . . . . . . . . . . . 1189--1201
A. R. Bergstrom Optimal forecasting of discrete stock
and flow data generated by a higher
order continuous time system . . . . . . 1203--1214
R. Kalaba and
L. Tesfatsion Time-varying linear regression via
flexible least squares . . . . . . . . . 1215--1245
H.-F. Chen and
L. Guo Nonstationary time series identification 1247--1258
W. D. O'Neill The coding theorem and ordinary
least-squares models in economics . . . 1259--1264
H. Theil and
C.-F. Chung The information tableau of a linear
allocation model . . . . . . . . . . . . 1265--1268
C. A. Los The prejudices of least squares,
principal components and common factors
schemes . . . . . . . . . . . . . . . . 1269--1283
C. A. Los Identification of a linear system from
inexact data: a three-variable example 1285--1304
B. Rustem A superlinearly convergent constrained
min-max algorithm for rival models of
the same system . . . . . . . . . . . . 1305--1316
E. Sheshinski and
M. D. Intriligator Cost-benefit analysis with switching
regimes: an application of the theory of
planning . . . . . . . . . . . . . . . . 1317--1327
E. Tse and
A. Khilnani An integrated system model for a fishery
management process --- I: Model
structure . . . . . . . . . . . . . . . 1329--1343
R. Amir A lattice-theoretic approach to a class
of dynamic games . . . . . . . . . . . . 1345--1349
Anonymous Editorial: Software survey section . . . i--iii
S. Galanis and
A. Hadjidimos and
D. Noutsos The relationship between the Jacobi and
the successive overrelaxation (SOR)
matrices of a $k$-cyclic matrix . . . . 1351--1357
P. Achuthan and
S. Sundar A recursive algorithm for matrix Padé
approximants-the divide-and-conquer
approach . . . . . . . . . . . . . . . . 1359--1367
J. A. Snyman A convergent dynamic method for large
minimization problems . . . . . . . . . 1369--1377
A. H. Khater and
M. F. El-Sabbagh and
D. K. Callebaut Analytical solutions for nonlinear
magnetohydrodynamic atmospheres . . . . 1379--1384
D. A. Murio The mollification method and the
numerical solution of the inverse heat
conduction problem by finite differences 1385--1396
R. P. Agarwal and
P. J. Y. Wong Lidstone polynomials and boundary value
problems . . . . . . . . . . . . . . . . 1397--1421
S.-G. Chen and
P. Y. Hsieh Fast computation of the $N$-th root . . 1423--1427
Anonymous Book reports . . . . . . . . . . . . . . 1429--1430
Ervin Y. Rodin Software survey section . . . . . . . . i--ii
E. G. Yanik Sufficient conditions for a discrete
maximum principle for high order
collocation methods . . . . . . . . . . 1431--1434
S. K. Kumar and
W. I. Thacker and
L. T. Watson Rotating magnetohydrodynamic flow about
a stationary disk in a circular magnetic
field . . . . . . . . . . . . . . . . . 1435--1439
D. A. Murio and
D. Hinestroza Numerical identification of forcing
terms by discrete mollification . . . . 1441--1447
H. M. Cekirge and
A. H. Al-Rabeh and
N. Gunay Determining the wind-driven surface
currents for prediction of movements of
oil slicks in the Arabian Gulf . . . . . 1449--1453
A. Isser and
A. Rosen Applying the lifting surface method to
the blade tip of a hovering helicopter 1455--1466
S. Li A tutorial on the extended perturbation
analysis . . . . . . . . . . . . . . . . 1467--1473
V. Pan Fast and efficient parallel evaluation
of the zeros of a polynomial having only
real zeros . . . . . . . . . . . . . . . 1475--1480
V. Pan and
J. Reif Fast and Efficient Parallel Solution of
Dense Linear Systems . . . . . . . . . . 1481--1491
J. C. Misra and
S. Roy Stresses in the neighbourhood of an
exterior crack in a bone specimen . . . 1493--1502
A. A. Zenkin Waring's problem: $g$ (1, 4) = 21 for
fourth powers of positive integers . . . 1503--1506
Anonymous Software reports . . . . . . . . . . . . 1507--1509
Anonymous Software survey section . . . . . . . . i--ii
Anonymous List of contents . . . . . . . . . . . . iii--ix
Anonymous Author index . . . . . . . . . . . . . . x--x
K. A. Wen and
J. F. Wang Efficient computing methods for parallel
processing: an implementation of the
Viterbi algorithm . . . . . . . . . . . 1511--1521
C.-J. Lin A parallel algorithm for generating
combinations . . . . . . . . . . . . . . 1523--1533
M. A. Venkataramanan and
J. Mote and
D. L. Olson An interactive MOLP procedure using
epsilon-constraints . . . . . . . . . . 1535--1543
J. Angeles and
O. Ma and
A. Rojas An algorithm for the inverse dynamics of
$n$-axis general manipulators using
Kane's equations . . . . . . . . . . . . 1545--1561
A. Q. M. Khaliq A predictor--corrector scheme for fourth
order parabolic partial differential
equations . . . . . . . . . . . . . . . 1563--1566
C. Puglisi Parallel algorithms and architectures
for matrix multiplication . . . . . . . 1567--1572
T.-W. Hwang and
T.-H. Kuo and
C.-A. Wang Similarity solutions for surface-tension
driven flows in a slot with an insulated
bottom . . . . . . . . . . . . . . . . . 1573--1586
Anonymous Book reports . . . . . . . . . . . . . . 1587--1588
Anonymous Software reports . . . . . . . . . . . . 1589--1590
Anonymous Editorial Board . . . . . . . . . . . . i--i
M. Pachter and
Y. Yavin Preface . . . . . . . . . . . . . . . . vii--vii
F. Imado and
S. Miwa Fighter evasive boundaries against
missiles . . . . . . . . . . . . . . . . 1--14
J. Lewin and
G. J. Olsder The isotropic rocket --- a surveillance
evasion game . . . . . . . . . . . . . . 15--34
J. Shinar and
M. Guelman and
A. Green An optimal guidance law for a planar
pursuit--evasion game of kind . . . . . 35--44
W. Grimm and
J. M. Schaeffer Optimal launch conditions on the
``no-escape envelope'' . . . . . . . . . 45--59
Y. Yavin and
R. de Villiers The game of two cars with a containment
probability as a cost function: the case
of variable speed . . . . . . . . . . . 61--67
Y. Yavin and
R. De Villiers Proportional navigation and the game of
two cars: the case of a pursuer with
variable speed . . . . . . . . . . . . . 69--76
T. Miloh and
M. Pachter Ship collision-avoidance and
pursuit--evasion differential games with
speed-loss in a turn . . . . . . . . . . 77--100
B. Järmark Two aggressive aircraft in a realistic
short-range combat as a differential
game study . . . . . . . . . . . . . . . 101--105
N. Rajan Two-on-one combat games . . . . . . . . 107--116
D. Ghose and
U. R. Prasad Multicriterion differential games with
applications to combat problems . . . . 117--126
M. Heymann and
N. Rajan and
M. Ardema Optimal strategies in event-constrained
differential games . . . . . . . . . . . 127--131
J. M. Skowronski and
R. J. Stonier Two-person qualitative differential
games with two objectives . . . . . . . 133--150
Y. Lirov and
E. Y. Rodin and
B. K. Ghosh Automated learning by tactical decision
systems in air combat . . . . . . . . . 151--160
M. Corless and
G. Leitmann Adaptive controllers for avoidance or
evasion in an uncertain environment:
Some examples . . . . . . . . . . . . . 161--170
S. E. Hammel and
P. T. Liu and
E. J. Hilliard and
K. F. Gong Optimal observer motion for localization
with bearing measurements . . . . . . . 171--180
K. Tanaka The closest solution to the shadow
minimum of a cooperative dynamic game 181--188
H. Ehtamo and
J. Ruusunen and
R. P. Hämäläinen The computation of the Nash bargaining
solution . . . . . . . . . . . . . . . . 189--193
W. L. Chan and
W. T. Lau Vector saddle-point and distributed
parameter differential games . . . . . . 195--207
E. A. Galperin and
Q. Zheng Integral global optimization method for
differential games with application to
pursuit--evasion games . . . . . . . . . 209--243
E. Y. Rodin A Pursuit--evasion bibliography ---
Version 2 . . . . . . . . . . . . . . . 245--320
Anonymous Software survey section . . . . . . . . i--ii
B. Pourbabai An assembly cell with an automated
quality control station: a finite
capacity and generally distributed
processing times . . . . . . . . . . . . 321--328
P. J. Szab\lowski Can the first two conditional moments
identify a mean square differentiable
process? . . . . . . . . . . . . . . . . 329--348
M. Kobayashi An algorithm for discontinuous inverse
Sturm--Liouville problems with symmetric
potentials . . . . . . . . . . . . . . . 349--356
M. Kobayashi Eigenvalues of discontinuous
Sturm--Liouville problems with symmetric
potentials . . . . . . . . . . . . . . . 357--364
L. F. Shampine and
W. Zhang Convergence of LMM when the solution is
not smooth . . . . . . . . . . . . . . . 365--372
C. T. Hsueh and
J. F. Wang and
J. Y. Lee Solving linear systems of determinant
frequently zero over finite field GF (2) 373--379
Y. Lirov Electronic circuit diagnostic expert
systems --- a survey . . . . . . . . . . 381--398
Anonymous Book reports . . . . . . . . . . . . . . 399--400
Anonymous Software survey section . . . . . . . . i--ii
K. H. Baik Towards a topological view of databases 401--409
L. A. Adelani and
E. Y. Rodin A simple nonlinear model for the
exploitation of renewable economic
resources . . . . . . . . . . . . . . . 411--420
Å. Björck and
Z. Zlatev Exploiting the separability in the
solution of systems of linear ordinary
differential equations . . . . . . . . . 421--438
Y.-Y. Chen and
C.-A. Wang Multiple steady state horizontal
buoyancy induced flows in porous media
saturated with cold water . . . . . . . 439--448
H. Brunner and
T. Tang Polynomial spline collocation methods
for the nonlinear Basset equation . . . 449--457
L. P. Franca An Algorithm to Compute the Square Root
of a $ 3 \times 3 $ Positive Definite
Matrix . . . . . . . . . . . . . . . . . 459--466
L. Iskandar and
M. Sh. El-Deen Mohamedein Numerical study of an analogue of the
Boussinesq equation . . . . . . . . . . 467--474
Anonymous Errata to ``The foundations of
confounding in epidemiology'' . . . . . 475--475
Anonymous Errata to ``Addendum to `A new approach
to causal inference in mortality studies
with a sustained exposure
period-application to control of the
healthy worker survivor effect'\,'' . . 477--477
Anonymous Book reports . . . . . . . . . . . . . . 479--480
S. Mittnik Preface . . . . . . . . . . . . . . . . vii--vii
P. Young and
C. Ng and
P. Armitage A systems approach to recursive economic
forecasting and seasonal adjustment . . 481--501
G. Kitagawa Non-Gaussian seasonal adjustment . . . . 503--514
R. Kohn and
C. F. Ansley Filtering and smoothing algorithms for
state space models . . . . . . . . . . . 515--528
P. W. Otter and
R. van Dal State-space approximation of multi-input
multi-output systems with stochastic
exogenous inputs . . . . . . . . . . . . 529--538
P. A. Zadrozny Analytic derivatives for estimation of
linear dynamic models . . . . . . . . . 539--553
R. Craine and
D. Bowman A state space model of the economic
fundamentals . . . . . . . . . . . . . . 555--564
J. K. Sengupta A dynamic view of the portfolio
efficiency frontier . . . . . . . . . . 565--580
M. Cerchi State space methods in asset pricing . . 581--590
T. Basar Some thoughts on rational expectations
models, and alternate formulations . . . 591--604
F. X. Diebold The solution of dynamic linear rational
expectations models . . . . . . . . . . 605--616
H. Kuhn and
H.-W. Wohltmann Controllability of economic systems
under alternative expectations
hypotheses --- the discrete case . . . . 617--628
N. M. Christodoulakis Extensions of linearisation to large
econometric models with rational
expectations . . . . . . . . . . . . . . 629--642
V. Strejc Remarks on equilibrium state achievement
in state space control . . . . . . . . . 643--649
P. Jain and
S. Maheshwari Optimal feedback stabilization policy
with asymmetric loss functions . . . . . 651--662
R. Amir Globally optimal paths in the
nonclassical growth model . . . . . . . 663--674
E. Tse and
A. Khilnani An integrated system model for a fishery
management process --- II. A case study 675--690
Anonymous Software Survey Section . . . . . . . . i--ii
S. C. Scull Bézier curves on groups . . . . . . . . . 691--700
P. J. Y. Wong and
R. P. Agarwal Explicit error estimates for quintic and
biquintic spline interpolation . . . . . 701--722
B. Mukhopadhyay and
R. K. Bera Effect of distributed instantaneous and
continuous heat sources in an infinite
conducting magneto-thermo-viscoelastic
solid with thermal relaxation . . . . . 723--728
C. G. Huang Several rigorous counterexamples about
Saint-Venant's principle . . . . . . . . 729--738
Z. R. Bogdanowicz and
T. G. Moore A new optimal packing algorithm for
telecommunications networks planning . . 739--744
M. E. Cayco and
R. A. Nicolaides Analysis of nonconforming stream
function and pressure finite element
spaces for the Navier--Stokes equations 745--760
Burton Wendroff and
Andrew B. White, Jr. A supraconvergent scheme for nonlinear
hyperbolic systems . . . . . . . . . . . 761--767
Anonymous Software reports . . . . . . . . . . . . 769--770
Anonymous Software survey section . . . . . . . . i--ii
C.-N. Shyi and
J.-Y. Lee and
K.-C. Hung and
C.-H. Chen A fast method for robot location
determination . . . . . . . . . . . . . 771--777
W. W. Hager A derivative-based bracketing scheme for
univariate minimization and the
conjugate gradient method . . . . . . . 779--795
C. F. Mayo and
C. E. Roberts Sequential, parallel and vector solution
of ordinary differential equations on a
hypercube . . . . . . . . . . . . . . . 797--808
F. Blanchet-Sadri Games, equations and the dot-depth
hierarchy . . . . . . . . . . . . . . . 809--822
D. Greenspan Particle simulation of biological
sorting on a supercomputer . . . . . . . 823--834
J. R. Dormand and
M. A. Lockyer and
N. E. McGorrigan and
P. J. Prince Global error estimation with
Runge--Kutta triples . . . . . . . . . . 835--846
Anonymous Book reports . . . . . . . . . . . . . . 847--848
Anonymous Software report . . . . . . . . . . . . 849--849
Anonymous Softstrip data strip . . . . . . . . . . i--i
Anonymous About this issue . . . . . . . . . . . . vii--vii
Anonymous Author's guidelines . . . . . . . . . . ix--ix
O. Arino and
M. Kimmel Preface . . . . . . . . . . . . . . . . xi--xii
M. N. Antonios Optimization problems related to water
quality control in aquatic ecosystems 851--870
D. E. Axelrod and
T. Kuczek Clonal heterogeneity in populations of
normal cells and tumor cells . . . . . . 871--881
S. N. Busenberg and
J. M. Mahaffy A compartmental reaction--diffusion cell
cycle model . . . . . . . . . . . . . . 883--892
I. Györi Oscillation and comparison results in
neutral differential equations and their
applications to the delay logistic
equation . . . . . . . . . . . . . . . . 893--906
M. Kimmel and
O. Arino A system of differential equations
modeling the $G$ $_1$ phase of the cell
cycle . . . . . . . . . . . . . . . . . 907--917
M. C. Kohn Computer modeling at the national
biomedical simulation resource . . . . . 919--924
M. R. S. Kulenovi\'c and
G. Ladas and
Y. G. Sficas Global attractivity in population
dynamics . . . . . . . . . . . . . . . . 925--928
F. W. Schultz and
J. J. M. van Dongen and
K. Hählen and
A. Hagenbeek Time-history of the malignant population
in the peripheral blood of a child with
T-cell acute lymphoblastic leukemia: a
pilot study . . . . . . . . . . . . . . 929--936
R. Shukla and
J. A. Deddens and
C. R. Buncher Survival benefits of X-ray screening for
lung cancer after bias adjustments . . . 937--948
H. L. Smith Competing subcommunities of mutualists 949--957
T. M. Therneau and
L. A. Solberg, Jr. and
R. B. Jenkins Modeling megakaryocyte development as a
branching process . . . . . . . . . . . 959--964
J. R. Thompson AIDS: the mismanagement of an epidemic 965--972
G. F. Webb $ \alpha $- and $ \beta $-curves,
sister--sister and mother--daughter
correlations in cell population dynamics 973--984
Anonymous Software survey section . . . . . . . . i--ii
Anonymous List of contents and author index . . . iii--x
K. G. Shih and
A. N. Palazotto Formulation of boundary integral
equations for linear elastic shells . . 985--999
L. Harn and
D. Huang and
C. S. Laih Password authentication using public-key
cryptography . . . . . . . . . . . . . . 1001--1017
N. G. Zamani A note on the quadratic element in one
dimension . . . . . . . . . . . . . . . 1019--1021
M. Morhác $k$-dimensional error-free deconvolution
using the fermat number transform . . . 1023--1032
Joyati Debnath and
R. S. Dahiya Theorems on multidimensional Laplace
transform for solution of boundary value
problems . . . . . . . . . . . . . . . . 1033--1056
U. Jin Choi and
Do Y. Kwak Almost sure convergence of Galerkin
approximations for a heat equation with
a random initial condition . . . . . . . 1057--1063
E. R. Kouyoumdjian Errata to ``A set theoretic approach to
the symmetry analysis of
hexadecahedrane'': Computers Math.
Applic. \bf 17 (1--3), 375--395 (1989) 97--97
S. N. Busenberg and
J. M. Mahaffy Errata to ``A compartmental
reaction--diffusion cell cycle model'':
Computers Math. Applic. \bf 18 (10/11),
883--892 (1989) . . . . . . . . . . . . 73--74
E. T. Jaynes Commentary on two articles by C. A. Los 267--273
Arnold Zellner Brief comment on C. A. Los' papers . . . 275--275
Peter A. Zadrozny Errata to ``Analytic derivatives for
estimation of linear dynamic models'':
Computers and Mathematics with
Applications, Vol. \bf 18, No. 6/7, pp.
539--553, 1989 . . . . . . . . . . . . . 289--290
Cornelis A. Los Reply to E. T. Jaynes' and A. Zellner's
comments on my two articles . . . . . . 277--288