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Mon Sep 4 17:20:44 MDT 2023
John Gary On boundary conditions for hyperbolic
difference schemes . . . . . . . . . . . 339--351
D. B. Haidvogel and
A. R. Robinson and
E. E. Schulman The accuracy, efficiency, and stability
of three numerical models with
application to open ocean problems . . . 1--53
W. R. Briley and
H. McDonald On the structure and use of linearized
block implicit schemes . . . . . . . . . 54--73
R. C. Y. Chin and
R. L. Braun Numerical solutions of chemically
reacting flows in porous media . . . . . 74--93
John C. Strikwerda Initial boundary value problems for the
method of lines . . . . . . . . . . . . 94--107
Bertil Gustafsson Comment on ``On boundary conditions for
hyperbolic difference schemes'' . . . . 108--110
Philip S. Brown, Jr. More efficient numerical solution of
diurnal kinetics problems . . . . . . . 111--123
Curtis D. Mobley and
Robert J. Stewart On the numerical generation of
boundary-fitted orthogonal curvilinear
coordinate systems . . . . . . . . . . . 124--135
Anonymous Announcement . . . . . . . . . . . . . . 136--136
Anonymous List of forthcoming articles . . . . . . 137--137
R. Krieg and
G. Hailfinger Transient, three-dimensional potential
flow problems and dynamic response of
the surrounding structures. Part I:
Description of the fluid dynamics by a
singularity method (computer code SING) 139--163
R. Krieg and
B. Göller and
G. Hailfinger Transient, three-dimensional potential
flow problems and dynamic response of
the surrounding structures. Part II:
Simultaneous coupling between fluid and
structural dynamics (computer code
SING--S) . . . . . . . . . . . . . . . . 164--183
D. C. Rapaport The event scheduling problem in
molecular dynamic simulation . . . . . . 184--201
Kanji Abe and
Osamu Inoue Fourier expansion solution of the
Korteweg--de Vries equation . . . . . . 202--210
J. A. Halbleib and
J. E. Morel Adjoint Monte Carlo electron transport
in the continuous-slowing-down
approximation . . . . . . . . . . . . . 211--230
D. I. Pullin Direct simulation methods for
compressible inviscid ideal-gas flow . . 231--244
M. J. P. Cullen and
K. W. Morton Analysis of evolutionary error in finite
element and other methods . . . . . . . 245--267
K. Audenaerde and
G. A. Emmert and
M. Gordinier SPUDNUT: A transport code for neutral
atoms in plasmas . . . . . . . . . . . . 268--284
Anonymous List of forthcoming articles . . . . . . 285--285
William J. Silliman and
L. E. Scriven Separating how near a static contact
line: Slip at a wall and shape of a free
surface . . . . . . . . . . . . . . . . 287--313
Clive Temperton On the FACR($l$ ) algorithm for the
discrete Poisson equation . . . . . . . 314--329
H. J. Willenberg Multigroup representation of fusion
product orbits in a plasma column . . . 330--347
Achi Brandt and
J. E. Dendy, Jr. and
Hans Ruppel The multigrid method for semi-implicit
hydrodynamics codes . . . . . . . . . . 348--370
Erol Varoglu and
W. D. Liam Finn Finite elements incorporating
characteristics for one-dimensional
diffusion-convection equation . . . . . 371--389
C. W. Hirt and
B. D. Nichols Adding limited compressibility to
incompressible hydrocodes . . . . . . . 390--400
Uri Ascher Solving boundary-value problems with a
spline-collocation code . . . . . . . . 401--413
Michael N. Barber Optimal variational approximations to
renormalization groups. II.
Determination of optimal parameters . . 414--434
Anonymous Announcement . . . . . . . . . . . . . . 435--436
Anonymous List of forthcoming articles . . . . . . 437--438
Anonymous Author index for volume 34 . . . . . . . 439--439
Alexandre Joel Chorin Flame advection and propagation
algorithms . . . . . . . . . . . . . . . 1--11
Alejandro L. Camerlengo and
James J. O'Brien Open boundary conditions in rotating
fluids . . . . . . . . . . . . . . . . . 12--35
A. Davey On the numerical solution of difficult
boundary-value problems . . . . . . . . 36--47
J. H. Williamson Low-storage Runge--Kutta schemes . . . . 48--56
Michael B. Carver Pseudo characteristic method of lines
solution of the conservation equations 57--76
R. McLaughlin The numerical solution of the unsteady
expansion of a gas into a near vacuum 77--89
T. H. Lim An integral equation method for the
numerical solution of a two-dimensional
vertical jet under gravity . . . . . . . 90--99
Rita Meyer-Spasche and
Herbert B. Keller Computations of the axisymmetric flow
between rotating cylinders . . . . . . . 100--109
D. Schnack and
J. Killeen Nonlinear, two-dimensional
magnetohydrodynamic calculations . . . . 110--145
Anonymous List of forthcoming articles . . . . . . 146--146
B. E. McDonald The Chebychev method for solving
nonself-adjoint elliptic equations on a
vector computer . . . . . . . . . . . . 147--168
Donald L. Ermak and
Helen Buckholz Numerical integration of the Langevin
equation: Monte Carlo simulation . . . . 169--182
M. F. McCracken and
C. S. Peskin A vortex method for blood flow through
heart valves . . . . . . . . . . . . . . 183--205
James A. Schmitt Truncation error terms in the kinetic
energy calculation in the HELP algorithm
and their consequences . . . . . . . . . 206--228
John K. Dukowicz A particle-fluid numerical model for
liquid sprays . . . . . . . . . . . . . 229--253
Tsvi Piran Numerical codes for cylindrical general
relativistic systems . . . . . . . . . . 254--283
O. Axelsson and
I. Gustafsson On the use of preconditioned conjugate
gradient methods for red-black ordered
five-point difference schemes . . . . . 284--289
Anonymous List of forthcoming articles . . . . . . 290--290
J. P. Christiansen and
N. K. Winsor A numerical model for laser targets . . 291--318
Eli Turkel On the practical use of high-order
methods for hyperbolic systems . . . . . 319--340
F. Bauer and
O. Betancourt and
P. Garabedian Numerical studies of new stellarator
concepts . . . . . . . . . . . . . . . . 341--355
C. P. Li A computational procedure for supersonic
flows governed by the parabolic
Navier--Stokes equations . . . . . . . . 356--380
P. Moin and
J. Kim On the numerical solution of
time-dependent viscous incompressible
fluid flows involving solid boundaries 381--392
David Rapoport Splitting of linear operators applied to
the stationary Navier--Stokes equation 393--407
L. Farnell Solution of Poisson equations on a
nonuniform grid . . . . . . . . . . . . 408--425
J. U. Brackbill and
D. C. Barnes The effect of nonzero $ \nabla \cdot B $
on the numerical solution of the
magnetohydrodynamic equations . . . . . 426--430
Anonymous Announcement . . . . . . . . . . . . . . 431--431
Anonymous List of forthcoming articles . . . . . . 432--432
Anonymous Author index for volume 35 . . . . . . . 433--433
Charles K. Birdsall and
Neil Maron Plasma self-heating and saturation due
to numerical instabilities . . . . . . . 1--19
P. Kirkegaard and
L. Lòvborg Transport of terrestrial $y$ radiation
in plane semi-infinite . . . . . . . . . 20--34
J. A. Holmes and
Y.-K. M. Peng and
S. J. Lynch Evolution of flux-conserving tokamak
equilibria with preprogrammed cross
sections . . . . . . . . . . . . . . . . 35--54
David H. Rudy and
John C. Strikwerda A nonreflecting outflow boundary
condition for subsonic Navier--Stokes
calculations . . . . . . . . . . . . . . 55--70
Klaus Elsässer and
Winfried Maasjost Macroscopic and microscopic models for
the relativistic beam-plasma
instability: A comparison . . . . . . . 71--92
U. Schumann Fast elliptic solvers and
three-dimensional fluid-structure
interactions in a pressurized water
reactor . . . . . . . . . . . . . . . . 93--127
D. M. O'Brien Spherical Bessel functions of large
order . . . . . . . . . . . . . . . . . 128--132
Anonymous Announcement . . . . . . . . . . . . . . 133--133
Anonymous List of forthcoming articles . . . . . . 134--134
Daniel R. Lynch and
William G. Gray Finite element simulation of flow in
deforming regions . . . . . . . . . . . 135--153
Frank Hagin On the construction of well-conditioned
systems for Fredholm $I$ problems by
mesh adapting . . . . . . . . . . . . . 154--169
L. Gr. Ixaru and
M. I. Cristu and
M. S. Popa Choosing step sizes for perturbative
methods of solving the Schrödinger
equation . . . . . . . . . . . . . . . . 170--181
L. Gr. Ixaru A highly convergent perturbative method
for the solution of systems of coupled
equations arising from the Schrödinger
equation . . . . . . . . . . . . . . . . 182--197
Luiz G. Ferreira Theory and method for accelerating the
convergence of self-consistent
electronic structure calculations . . . 198--208
Bertil Gustafsson Numerical solution of hyperbolic systems
with different time scales using
asymptotic expansions . . . . . . . . . 209--235
Nobumasa Takemitsu On a finite-difference approximation for
the steady-state Navier--Stokes
equations . . . . . . . . . . . . . . . 236--248
K. W. Morton and
A. K. Parrott Generalised Galerkin methods for
first-order hyperbolic equations . . . . 249--270
Stylianos D. Danielopoulos On evaluating strategies for the
computation of DWBA integrals . . . . . 271--279
Anonymous List of forthcoming articles . . . . . . 280--280
Mark L. Wilkins Use of artificial viscosity in
multidimensional fluid dynamic
calculations . . . . . . . . . . . . . . 281--303
J. M. Noras A general strategy for Brillouin zone
sampling and integration . . . . . . . . 304--312
Michel Bercovier and
Michael Engelman A finite-element method for
incompressible non-Newtonian flows . . . 313--326
Bertil Gustafsson and
Per Wahlund Finite-difference methods for computing
the steady flow about blunt bodies . . . 327--346
J. Lavergnat and
J. Portes and
M. Sylvain A new algorithm to determine the
parameters of a sinusoidal signal . . . 347--365
Ralph Menikoff and
Charles Zemach Methods for numerical conformal mapping 366--410
H. R. Hicks and
J. W. Wooten Numerical divergence of a tensor . . . . 411--416
Patrick Bontoux and
Bernard Gilly and
Bernard Roux Analysis of the effect of boundary
conditions on numerical stability of
solutions of Navier--Stokes equations 417--427
Anonymous List of forthcoming articles . . . . . . 428--428
Anonymous Author index for volume 36 . . . . . . . 429--429
G. Fairweather and
I. M. Navon A linear ADI method for the
shallow-water equations . . . . . . . . 1--18
James D. Talman Eigenvalue correction estimates for the
one-dimensional Schrödinger equation . . 19--40
Jack Nachamkin and
C. J. Maggiore A Fourier Bessel transform method for
efficiently calculating the magnetic
field of solenoids . . . . . . . . . . . 41--55
Michael H. Klapper and
David Debrota Use of Caley--Menger determinants in the
calculation of molecular structures . . 56--69
Steven A. Orszag Spectral methods for problems in complex
geometries . . . . . . . . . . . . . . . 70--92
Robert L. McCrory and
Steven A. Orszag Spectral methods for multi-dimensional
diffusion problems . . . . . . . . . . . 93--112
Charles S. Peskin and
David M. McQueen Modeling prosthetic heart valves for
numerical analysis of blood flow in the
heart . . . . . . . . . . . . . . . . . 113--132
L. O'C Drury Numerical solution of
Orr--Sommerfeld-type equations . . . . . 133--139
Anonymous List of forthcoming articles . . . . . . 140--140
Philip S. Brown, Jr. and
Joseph P. Pandolfo A gravity-wave problem with the upstream
difference method . . . . . . . . . . . 141--150
T. L. Crystal and
J. Denavit Computer simulation of trapped-electron
modes in tokamaks . . . . . . . . . . . 151--170
I. M. Longman Wave propagation in a viscoelastic solid 171--182
J. DeLucia and
S. C. Jardin and
A. M. M. Todd An iterative metric method for solving
the inverse tokamak equilibrium problem 183--204
K. W. Kratky New boundary conditions for computer
experiments of thermodynamic systems . . 205--217
Donald L. Hitzl and
Frederick H. Maltz Adaptive estimation procedures for
multi-parameter Monte Carlo computations 218--241
P. Hänggi and
F. Roesel and
D. Trautmann Evaluation of infinite series by use of
continued fraction expansions: A
numerical study . . . . . . . . . . . . 242--258
Robert Lugannani and
Stephen Rice Expressions for the behavior of a
Fourier transform near its singularities 259--263
Robert Lugannani and
Stephen Rice Use of Gaussian convergence factors in
the numerical evaluation of slowly
converging integrals . . . . . . . . . . 264--267
Maurice V. Barnhill III and
Craig Russ Improving the convergence of solutions
to the Fredholm integral equation of the
first kind . . . . . . . . . . . . . . . 268--273
W. L. Miranker and
K. Bu A functional relation and an
acceleration procedure for calculating
the voltage response of Josephson
junctions . . . . . . . . . . . . . . . 274--279
Huw C. Davies A pseudo-upstream differencing scheme
for advection . . . . . . . . . . . . . 280--286
Anonymous List of forthcoming articles . . . . . . 287--287
A. Leonard Vortex methods for flow simulation . . . 289--335
J. Glimm and
D. Marchesin and
O. McBryan Subgrid resolution of fluid
discontinuities, II . . . . . . . . . . 336--354
W. C. Thacker A geodesic finite-difference method for
curved domains: Simulations of tidal
motion on a sphere . . . . . . . . . . . 355--370
W. C. Thacker and
A. Gonzalez and
G. E. Putland A method for automating the construction
of irregular computational grids for
storm surge forecast models . . . . . . 371--387
P. Nelson, Jr. and
A. K. Ray An automatic error-control technique for
computation of eigenlengths . . . . . . 388--398
G. W. Hedstrom and
Albert Osterheld The effect of cell Reynolds number on
the computation of a boundary layer . . 399--421
G. J. Bailey Numerical studies of coupled
time-dependent diffusion equations for
the Earth's upper atmosphere: A method
employing a self-diffusion coefficient 422--440
Anonymous List of forthcoming articles . . . . . . 441--441
Anonymous Author index for volume 37 . . . . . . . 442--442
O. Buneman and
C. W. Barnes and
J. C. Green and
D. E. Nielsen Principles and capabilities of $3$-D,
E--M particle simulations . . . . . . . 1--44
Bruce I. Cohen and
Thomas A. Brengle and
Davis B. Conley and
Robert P. Freis An orbit averaged particle code . . . . 45--63
Paul H. Merz Determination of adsorption energy
distribution by regularization and a
characterization of certain adsorption
isotherms . . . . . . . . . . . . . . . 64--85
Thomas A. Mehlhorn and
James J. Duderstadt A discrete ordinates solution of the
Fokker--Planck equation characterizing
charged particle transport . . . . . . . 86--106
Milton E. Rose An artificial energy method for
calculating flows with shocks . . . . . 107--113
David S. Kershaw On the problem of unstable pivots in the
incomplete $ L U $-conjugate gradient
method . . . . . . . . . . . . . . . . . 114--123
Anonymous List of forthcoming articles . . . . . . 124--124
L. L. van Dommelen and
S. F. Shen The spontaneous generation of the
singularity in a separating laminar
boundary layer . . . . . . . . . . . . . 125--140
E. R. Young and
P. G. Richards and
D. G. Torr A flux preserving method of coupling
first and second order equations to
simulate the flow of plasma between the
protonosphere and the ionosphere . . . . 141--156
David J. Malik and
Joseph Eccles and
Don Secrest On quantal bound state solutions and
potential energy surface fitting. A
comparison of the finite element,
Numerov--Cooley and finite difference
methods . . . . . . . . . . . . . . . . 157--184
Donald L. Hitzl Implementing Hamilton's law of varying
action with shifted Legendre polynomials 185--211
G. Knorr and
M. Mond The representation of shock-like
solutions in an Eulerian mesh . . . . . 212--226
G. Knorr and
G. Joyce and
A. J. Marcus Fourth-order Poisson solver for the
simulation of bounded plasmas . . . . . 227--236
T. Tajima and
J. N. Leboeuf and
J. M. Dawson A magnetohydrodynamic particle code with
force free electrons for fluid
simulations . . . . . . . . . . . . . . 237--250
R. E. Grundy and
G. M. Phillips Application of Hermite approximation to
a boundary value problem . . . . . . . . 251--256
Anonymous Erratum . . . . . . . . . . . . . . . . 257--257
Anonymous Symposium on computers in flow
predictions and fluid dynamics
experiments . . . . . . . . . . . . . . 258--263
Anonymous List of forthcoming articles . . . . . . 264--264
H. Naitou and
S. Tokuda and
T. Kamimura Initial particle loadings for a
nonuniform simulation plasma in a
magnetic field . . . . . . . . . . . . . 265--274
B. S. Ng and
W. H. Reid On the numerical solution of the
Orr--Sommerfeld problem: Asymptotic
initial conditions for shooting methods 275--293
D. B. Bogy and
S. J. Shine and
F. E. Talke Finite difference solution of the
Cosserat fluid jet equations . . . . . . 294--326
Joseph M. Clifton and
Robert A. Leacock Variable phase method for the
calculation of the scattering phase
shift: The bound-state region . . . . . 327--334
I. Harada Computation of strongly compressible
rotating flows . . . . . . . . . . . . . 335--356
A. Caron and
M. Dupuy and
Ch. Pichot Numerical solution of singular integral
equations. Application to the flanged
plane waveguide . . . . . . . . . . . . 357--377
D. W. Hewett A global method of solving the
electron-field equations in a
zero-inertia-electron-hybrid plasma
simulation code . . . . . . . . . . . . 378--395
R. C. Flagg and
C. D. Luning and
W. L. Perry Implementation of new iterative
techniques for solutions of
Thomas--Fermi and Emden--Fowler
equations . . . . . . . . . . . . . . . 396--405
Thomas Oliphant Dynamic and quasi-equilibrium Lagrangian
MHD in $1$-D . . . . . . . . . . . . . . 406--412
G. E. Bell and
S. I. M. Ritchie The use of the odd-even hopscotch
algorithm for a thermal shock problem 413--419
Anonymous List of forthcoming articles . . . . . . 420--420
Anonymous Author index for volume 38 . . . . . . . 421--421
Guillermo Marshall and
Raúl Méndez Computational aspects of the random
choice method for shallow water
equations . . . . . . . . . . . . . . . 1--21
H. Lanteri and
R. Bindi and
P. Rostaing Application of splitting-up method to
the numerical treatment of transport
equation. Analysis of the transmission
of electrons through thin
self-supporting metallic targets . . . . 22--45
Allen Shapiro and
George F. Pinder Analysis of an upstream weighted
collocation approximation to the
transport equation . . . . . . . . . . . 46--71
André Hautot Interaction $ \lambda x^2 / (1 + g x^2)
$ revisited . . . . . . . . . . . . . . 72--93
J. M. Sanz-Serna and
I. Christie Petrov--Galerkin methods for nonlinear
dispersive waves . . . . . . . . . . . . 94--102
K. Y. K. Ng Solution of Navier--Stokes equations by
goal programming . . . . . . . . . . . . 103--111
Jeffrey B. Smith Shape instabilities and pattern
formation in solidification: A new
method for numerical solution of the
moving boundary problem . . . . . . . . 112--127
Mihaly Mezei On the selection of the particle to be
perturbed in the Monte Carlo method . . 128--136
Samuel Ohring Nonlinear water wave generation using
the method of lines . . . . . . . . . . 137--163
Charles W. Davies An initial value approach to the
production of discrete orthogonal
coordinates . . . . . . . . . . . . . . 164--178
J. Glimm and
D. Marchesin and
O. McBryan A numerical method for two phase flow
with an unstable interface . . . . . . . 179--200
C. W. Hirt and
B. D. Nichols Volume of fluid (VOF) method for the
dynamics of free boundaries . . . . . . 201--225
W. M. Nevins and
Y. Matsuda and
M. J. Gerver Plasma simulations using inversion
symmetry as a boundary condition . . . . 226--232
Riho Terras A Miller algorithm for an incomplete
Bessel function . . . . . . . . . . . . 233--240
Y. A. S. Aregbesola A numerical solution for the Laplace
equation with normal derivative boundary
condition . . . . . . . . . . . . . . . 241--248
Anonymous Erratum . . . . . . . . . . . . . . . . 249--249
Anonymous List of forthcoming articles . . . . . . 250--250
G. J. Pert Efficient integration of the time
dependent collisional-radiative
equations . . . . . . . . . . . . . . . 251--271
F. Arickx and
J. Broeckhove and
E. Deumens and
P. Van Leuven Variational discretization: A new
algorithm for the generator coordinate
method . . . . . . . . . . . . . . . . . 272--281
C. S. Frederiksen and
A. M. Watts Finite-element method for time-dependent
incompressible free surface flow . . . . 282--304
Benoit Couët and
Oscar Buneman and
Anthony Leonard Simulation of three-dimensional
incompressible flows with a
vortex-in-cell method . . . . . . . . . 305--328
Robert G. Lamb A scheme for simulating particle pair
motions in turbulent fluid . . . . . . . 329--346
T. H. Pulliam and
D. S. Chaussee A diagonal form of an implicit
approximate-factorization algorithm . . 347--363
G. R. Shubin and
A. B. Stephens and
H. M. Glaz Steady shock tracking and Newton's
method applied to one-dimensional duct
flow . . . . . . . . . . . . . . . . . . 364--374
David S. Kershaw Differencing of the diffusion equation
in Lagrangian hydrodynamic codes . . . . 375--395
Thomas E. Booth Exact Monte Carlo solution of elliptic
partial differential equations . . . . . 396--404
John D. Ramshaw and
Lawrence D. Cloutman Numerical method for partial equilibrium
flow . . . . . . . . . . . . . . . . . . 405--417
J. E. Dendy, Jr. and
Burton Wendroff A numerical method for the calculation
of traveling wave solutions of a quench
front problem . . . . . . . . . . . . . 418--432
B. L. Lohar and
P. C. Jain Variable mesh cubic spline technique for
$N$-wave solution of Burgers' equation 433--442
Philippe Mercier and
Michel Deville A multidimensional compact higher-order
scheme for $3$-D Poisson's equation . . 443--455
Shmuel Eidelman and
Alexander Burcat Numerical solution of a nonsteady blast
wave propagation in two-phase
(``separated flow'') reactive medium . . 456--472
R. Lugannani and
S. O. Rice Numerical evaluation of a class of
integrals by integrating along a string
of saddle points . . . . . . . . . . . . 473--480
Andrea Prosperetti On numerical differentiation on a
nonuniform grid . . . . . . . . . . . . 481--483
Anonymous Fourth GAMM conference on numerical
methods in fluid mechanics: ENSTA,
Paris, France, October 7--9, 1981 . . . 484--484
Anonymous List of forthcoming articles . . . . . . 485--485
Anonymous Author index for volume 39 . . . . . . . 486--486
A. Friedman and
R. N. Sudan and
J. Denavit A linearized $3$D hybrid code for
stability studies of field-reversed ion
rings . . . . . . . . . . . . . . . . . 1--35
George W. Platzman Some response characteristics of
finite-element tidal models . . . . . . 36--63
G. A. Evans and
J. Hyslop and
A. P. G. Morgan Iterative solution of Volterra integral
equations using Clenshaw--Curtis
quadrature . . . . . . . . . . . . . . . 64--76
H. Bruce Stewart Fractional step methods for
thermohydraulic calculation . . . . . . 77--90
Bjorn Engquist and
Andrew Majda Numerical radiation boundary conditions
for unsteady transonic flow . . . . . . 91--103
S. Tamor ANTIC: A code for calculation of neutral
transport in cylindrical plasmas . . . . 104--119
John Gary and
D. R. Kassoy Computation of steady and oscillatory
convection in saturated porous media . . 120--142
K. Takeuchi and
A. C. Spencer Two-dimensional predictor-corrector
method of characteristics for
fluid-structure interactions . . . . . . 143--166
Ilkka Karasalo and
John Kurylo On solving the stiff ODE's of the
kinetics of chemically reacting gas flow 167--182
R. Amit and
C. A. Hall and
T. A. Porsching An application of network' theory to the
solution of implicit Navier--Stokes
difference equations . . . . . . . . . . 183--201
R. J. Gelinas and
S. K. Doss and
Keith Miller The moving finite element method:
Applications to general partial
differential equations with multiple
large gradients . . . . . . . . . . . . 202--249
P. Modrak and
B. Jasi\'nski On the numerical calculations of the
density of states in tight-binding
approximation . . . . . . . . . . . . . 250--253
Charles C. Miao and
T. G. Theofanous A fast ICE solution procedure for flows
with largely invariant compressibility 254--261
Joseph L. Steger and
R. F. Warming Flux vector splitting of the inviscid
gasdynamic equations with application to
finite-difference methods . . . . . . . 263--293
G. Maino and
E. Menapace and
A. Ventura Computation of parabolic cylinder
functions by means of a Tricomi
expansion . . . . . . . . . . . . . . . 294--304
Ole H. Hald Convergence of Fourier methods for
Navier--Stokes equations . . . . . . . . 305--317
E. M. Chance and
G. M. Clore and
A. R. Curtis and
E. P. Shephard Numerical solution of the
Hodgkin--Huxley equations in a moving
coordinate system. Simulation of nerve
impulse transmission over long distances 318--326
P. H. Peskun Guidelines for choosing the transition
matrix in Monte Carlo methods using
Markov chains . . . . . . . . . . . . . 327--344
Daniel I. Meiron and
Steven A. Orszag and
Moshe Israeli Applications of numerical conformal
mapping . . . . . . . . . . . . . . . . 345--360
J. B. Greenberg and
C. Presser A fully automatic method for predicting
internal reacting flows . . . . . . . . 361--375
Chi-Hua Huang and
John H. Cushman High order accurate, explicit,
difference formulas for the classical
wave equation . . . . . . . . . . . . . 376--395
Julius Brandeis and
Josef Rom Interactive method for computation of
viscous flow with recirculation . . . . 396--410
Everett Jones An asymptotic outer solution applied to
the Keller box method . . . . . . . . . 411--429
R. D. Kent and
M. Schlesinger and
G. W. F. Drake Calculations of atomic spin-orbit matrix
elements in the unitary group approach 430--439
L. Wolniewicz Numerical integration of an
inhomogeneous boundary value problem . . 440--452
L. Quartapelle Vorticity conditioning in the
computation of two-dimensional viscous
flows . . . . . . . . . . . . . . . . . 453--477
Roland Hunt and
Graham Wilks Continuous transformation computation of
boundary layer equations between
similarity regimes . . . . . . . . . . . 478--490
J. H. Whealton Expeditious Vlasov solver for
computation of ion extraction from a
plasma . . . . . . . . . . . . . . . . . 491--496
Steven T. Zalesak High order ``ZIP'' differencing of
convective terms . . . . . . . . . . . . 497--508
Katsuhiro Sakai An accelerated computing technique for
steady fluid flows . . . . . . . . . . . 509--516
Scott Kirkpatrick and
Erich P. Stoll A very fast shift-register sequence
random number generator . . . . . . . . 517--526
Anonymous List of forthcoming articles . . . . . . 527--527
Anonymous Author index for volume 40 . . . . . . . 528--528
Saul Abarbanel and
David Gottlieb Optimal time splitting for two- and
three-dimensional Navier--Stokes
equations with mixed derivatives . . . . 1--33
V. Dose and
Th. Fauster and
H.-J. Gossmann The inversion of autoconvolution
integrals . . . . . . . . . . . . . . . 34--50
Thomas L. Cook and
Ruth B. Demuth and
Francis H. Harlow PIC calculations of multiphase flow . . 51--67
R. Chodura and
A. Schlüter A $3$D code for MHD equilibrium and
stability . . . . . . . . . . . . . . . 68--88
Samuel Ohring Three-dimensional ship wave generation
using an efficient finite difference
scheme with double model linearization 89--114
Moshe Israeli and
Steven A. Orszag Approximation of radiation boundary
conditions . . . . . . . . . . . . . . . 115--135
W\lodzimierz Proskurowski A note on solving the Buckley--Leverett
equation in the presence of gravity . . 136--141
John R. Freeman TRIDIF, A triangular mesh diffusion code 142--153
William L. Dunn Inverse Monte Carlo analysis . . . . . . 154--166
John M. Leone, Jr. and
Philip M. Gresho Finite element simulations of steady,
two-dimensional, viscous incompressible
flow over a step . . . . . . . . . . . . 167--191
Riho Terras Algorithms for some integrals of Bessel
functions and multivariate Gaussian
integrals . . . . . . . . . . . . . . . 192--199
Lee A. Cole On ``Theory and method for accelerating
the convergence of self-consistent
electronic structure calculations'' . . 200--202
Laurence Jacobs and
Claudio Rebbi Multi-spin coding: A very efficient
technique for Monte Carlo simulations of
spin systems . . . . . . . . . . . . . . 203--210
J. I. Ramos and
W. A. Sirignano The calculation of the pressure in
unsteady flows using a control-volume
approach . . . . . . . . . . . . . . . . 211--216
Yvain M. Treve A numerical test of the reliability of
Galerkin approximations to the solutions
of the Navier--Stokes equation . . . . . 217--222
Pedro A. P. Martins Spherical Coulomb functions: Recurrence
relations and continued fractions . . . 223--230
Anonymous List of forthcoming articles . . . . . . 231--231
Rodney J. Mason Implicit moment particle simulation of
plasmas . . . . . . . . . . . . . . . . 233--244
Peter A. Monkewitz and
Martin A. Monkewitz The asymptotic solution of the
Orr--Sommerfeld equation at large
distance from a shear layer . . . . . . 245--255
J. H. Williamson Four cheap improvements to the
particle-mesh code . . . . . . . . . . . 256--269
Shlomo P. Neuman A Eulerian--Lagrangian numerical scheme
for the dispersion-convection equation
using conjugate space-time grids . . . . 270--294
N. A. Sharp Comparison of numerical methods for the
integration of the black hole geodesic
equations . . . . . . . . . . . . . . . 295--308
B. Shizgal A Gaussian quadrature procedure for use
in the solution of the Boltzmann
equation and related problems . . . . . 309--328
A. Harten and
H. Tal-Ezer On a fourth order accurate implicit
finite difference scheme for hyperbolic
conservation laws. II. Five-point
schemes . . . . . . . . . . . . . . . . 329--356
R. Bonnerot and
P. Jamet A conservative finite element method for
one-dimensional Stefan problems with
appearing and disappearing phases . . . 357--388
R. F. Henry Richardson--Sielecki schemes for the
shallow-water equations, with
applications to Kelvin waves . . . . . . 389--406
L. D. Thomas and
M. H. Alexander and
B. R. Johnson and
W. A. Lester, Jr. and
J. C. Light and
K. D. McLenithan and
G. A. Parker and
M. J. Redmon and
T. G. Schmalz and
D. Secrest and
R. B. Walker Comparison of numerical methods for
solving the second-order differential
equations of molecular scattering theory 407--426
T. H. Pierce and
R. I. Cukier Global nonlinear sensitivity analysis
using Walsh functions . . . . . . . . . 427--443
A. Mc Kerrell and
C. Phillips and
L. M. Delves Chebyshev expansion methods for the
solution of elliptic partial
differential equations . . . . . . . . . 444--452
Anonymous List of forthcoming articles . . . . . . 453--453
Anonymous Author index for volume 41 . . . . . . . 454--454
Timothy J. Baker Potential flow calculation by the
approximate factorisation method . . . . 1--19
G. J. Pert Physical constraints in numerical
calculations of diffusion . . . . . . . 20--52
H. Saito and
L. E. Scriven Study of coating flow by the finite
element method . . . . . . . . . . . . . 53--76
D. B. Ingham and
P. J. Heggs and
M. Manzoor The numerical solution of plane
potential problems by improved boundary
integral equation methods . . . . . . . 77--98
Toshikazu Takada A simple method to eliminate linearly
dependent AO integrals in ab initio LCAO
MO calculations by taking advantage of
shell structure . . . . . . . . . . . . 99--107
Rolf D. Reitz One-dimensional compressible gas
dynamics calculations using the
Boltzmann equation . . . . . . . . . . . 108--123
Akihisa Kameari Transient eddy current analysis on thin
conductors with arbitrary connections
and shapes . . . . . . . . . . . . . . . 124--140
M. L. Baart Computational experience with the
spectral smoothing method for
differentiating noisy data . . . . . . . 141--151
Edward J. Kansa An algorithm for multidimensional
combusting flow problems . . . . . . . . 152--194
Lan Chieh Huang Pseudo-unsteady difference schemes for
discontinuous solutions of steady-state,
one-dimensional fluid dynamics problems 195--211
Anonymous List of forthcoming articles . . . . . . 212--212
Z. Schulten and
R. G. Gordon and
D. G. M. Anderson A numerical algorithm for the evaluation
of Weber parabolic cylinder functions $
U(a, x) $, $ V(a, x) $, and $ W(a, \pm
x) $ . . . . . . . . . . . . . . . . . . 213--237
Y. M. Chen and
David T. S. Lee Numerical methods for solving
differential equations with inadequate
data . . . . . . . . . . . . . . . . . . 238--256
Carl E. Pearson Use of streamline coordinates in the
numerical solution of compressible flow
problems . . . . . . . . . . . . . . . . 257--265
Paul J. Steinhardt and
P. Chaudhari Airy stress function for atomic models 266--276
B. Gabutti and
B. Minetti A new application of the discrete
Laguerre polynomials in the numerical
evaluation of the Hankel transform of a
strongly decreasing even function . . . 277--287
David V. Anderson and
Daniel C. Barnes Accurate calculations of field-reversed
axisymmetric equilibria and their MHD
stability properties . . . . . . . . . . 288--308
Maximilian R. Maier and
Donald R. Smith Numerical solution of a symmetric
one-dimensional diode model . . . . . . 309--326
D. Fyfe and
A. Weiser and
I. Bernstein and
S. Eisenstat and
M. Schultz A finite element solution of a reduced
Fokker--Planck equation . . . . . . . . 327--336
J. Denavit Time-filtering particle simulations with
$ \omega_{\rm pe} \Delta t \gg 1 $ . . . 337--366
A. Andrade and
T. A. Oliphant and
T. Kammash Solution of the Fokker--Planck transport
equation by matrix factorization . . . . 367--381
Charles F. Osgood Approximating convolution products
better than the DFT while keeping the
FFT . . . . . . . . . . . . . . . . . . 382--395
Nikolaos I. Ioakimidis A remark on the application of closed
and semi-closed quadrature rules to the
direct numerical solution of singular
integral equations . . . . . . . . . . . 396--402
M. Branrers and
R. Piessens and
M. De Meue Rational approximations for zeros of
Bessel functions . . . . . . . . . . . . 403--405
T. Tajima and
Y. C. Lee Absorbing boundary condition and Budden
turning point technique for
electromagnetic plasma simulations . . . 406--412
Anonymous List of forthcoming articles . . . . . . 413--413
Anonymous Author index for volume 42 . . . . . . . 414--414
R. Morrow Numerical solution of hyperbolic
equations for electron drift in strongly
non-uniform electric fields . . . . . . 1--15
Frank Hagin Some numerical approaches to solving
one-dimensional inverse problems . . . . 16--30
S. C. Jardin Self-consistent solutions of the plasma
transport equations in an axisymmetric
toroidal system . . . . . . . . . . . . 31--60
R. J. Goldston and
D. C. McCune and
H. H. Towner and
S. L. Davis and
R. J. Hawryluk and
G. L. Schmidt New techniques for calculating heat and
particle source rates due to neutral
beam injection in axisymmetric tokamaks 61--78
Ronald L. Gilliland Solutions of the shallow water equations
on a sphere . . . . . . . . . . . . . . 79--94
J. W. Wooten and
J. H. Whealton and
D. H. McCollough and
R. W. McGaffey and
J. E. Akin and
L. J. Drooks Ion extraction and optics in $3$D . . . 95--110
G. J. Pert Algorithms for the self-consistent
generation of magnetic fields in plasmas 111--163
Nikolaos I. Ioakimidis An iterative algorithm for the numerical
solution of singular integral equations 164--176
Alain Rigal Acceleration of the convergence in
viscous flow computations . . . . . . . 177--179
Robert B. Myers and
Thomas D. Taylor and
John W. Murdock Pseudo-spectral simulation of a
two-dimensional vortex flow in a
stratified, incompressible fluid . . . . 180--188
Sadhan K. Adhikari Iterative solution of homogeneous
integral equations . . . . . . . . . . . 189--193
Anonymous List of forthcoming articles . . . . . . 194--194
Norman J. Zabusky Computational synergetics and
mathematical innovation . . . . . . . . 195--249
S. L. Musher On numerical solution of kinetic
equations for plasma waves . . . . . . . 250--259
Murli M. Gupta A comparison of numerical solutions of
convective and divergence forms of the
Navier--Stokes equations for the driven
cavity problem . . . . . . . . . . . . . 260--267
F. Brunel and
J. N. Leboeuf and
T. Tajima and
J. M. Dawson and
M. Makino and
T. Kamimura Magnetohydrodynamic particle code:
Lax--Wendroff algorithm with finer grid
interpolations . . . . . . . . . . . . . 268--288
Chin-Kun Hu and
P. Kleban Direct calculation of the derivatives of
the free energy for Ising models by a
modified Kadanoff variational method . . 289--314
Y. M. Chen and
J. Q. Liu A numerical algorithm for remote sensing
of thermal conductivity . . . . . . . . 315--326
Man Mohan Rai and
D. A. Anderson Grid evolution in time asymptotic
problems . . . . . . . . . . . . . . . . 327--344
M. K. Memon and
R. W. Hockney and
S. K. Mitra Molecular dynamics with constraints . . 345--356
P. L. Roe Approximate Riemann solvers, parameter
vectors, and difference schemes . . . . 357--372
H. J. Haussling and
R. M. Coleman A method for generation of orthogonal
and nearly orthogonal boundary-fitted
coordinate systems . . . . . . . . . . . 373--381
Sadhan K. Adhikari Alternative to Padé technique for
iterative solution of integral equations 382--393
J. A. Laitone and
E. V. Laitone Errors in the numerical integration of a
linearized equation for particle flows 394--398
Anonymous Announcement . . . . . . . . . . . . . . 399--399
Anonymous Author index for volume 43 . . . . . . . 400--400
Henk A. van der Vorst Iterative Solution Methods for Certain
Sparse Linear Systems with a
Non-symmetric Matrix Arising from
PDE-Problems . . . . . . . . . . . . . . 1--19
J. A. R. Coope and
D. W. Sabo Several eigenvectors of a large matrix.
II. The generalized eigenvalue problem 20--30
Louis W. Ehrlich An ad hoc SOR method . . . . . . . . . . 31--45
H. R. Hicks and
B. Carreras and
J. A. Holmes and
D. K. Lee and
B. V. Waddell $3$D nonlinear calculations of resistive
tearing modes . . . . . . . . . . . . . 46--69
James L. Blue and
Charles L. Wilson Calculating eigenvalues and
eigenfunctions using an interior
constraint . . . . . . . . . . . . . . . 70--83
Milt Chapman FRAM-Nonlinear damping algorithms for
the continuity equation . . . . . . . . 84--103
Alex Friedman and
Jacques Denavit and
R. N. Sudan Strong ion ring equilibria formed by
injection and intrinsic stochasticity of
orbits . . . . . . . . . . . . . . . . . 104--133
J. A. Meijerink and
H. A. van der Vorst Guidelines for the Usage of Incomplete
Decompositions in Solving Sets of Linear
Equations as They Occur in Practical
Problems . . . . . . . . . . . . . . . . 134--155
Riho Terras Generalized exponential operators in the
continuation of the confluent
hypergeometric functions . . . . . . . . 156--166
Guillermo Marshall and
Angel N. Mentndez Numerical treatment of nonconservation
forms of the equations of shallow water
theory . . . . . . . . . . . . . . . . . 167--188
R. G. Munro Criteria for choosing a Linearized
Least-Squares Technique for the
Exponential Model $ \exp (A_1 + A_2 X) $ 189--197
Robert D. Skeel Accuracy of point cyclic reductions for
Poisson's equation . . . . . . . . . . . 198--205
W. C. Mackrodt Lattice sums for long-range interactions
involving charged defects in non-cubic
ionic crystals . . . . . . . . . . . . . 206--211
Pinhas Alpert Implicit filtering in conjunction with
explicit filtering . . . . . . . . . . . 212--219
V. O'Brien Conformal mappings for internal viscous
flow problems . . . . . . . . . . . . . 220--226
M. P. Harding Monte Carlo simulation of Ising systems
using a data structure . . . . . . . . . 227--242
Sébastien M. Candel Simultaneous calculation of
Fourier--Bessel transforms up to order
$N$ . . . . . . . . . . . . . . . . . . 243--261
Gunter H. Meyer Hele--Shaw flow with a cusping free
boundary . . . . . . . . . . . . . . . . 262--276
M. Delfour and
M. Fortin and
G. Payr Finite-difference solutions of a
non-linear Schrödinger equation . . . . . 277--288
Larry E. McMurchie and
Ernest R. Davidson Calculation of integrals over ab initio
pseudopotentials . . . . . . . . . . . . 289--301
Daniel W. Swift and
John J. Ambrosiano Boundary conditions which lead to
excitation of instabilities in plasma
simulations . . . . . . . . . . . . . . 302--317
George Emanuel Multiple isotope cascade algorithm . . . 318--328
Jane Cullum and
Ralph A. Willoughby Computing eigenvalues of very large
symmetric matrices---An implementation
of a Lanczos algorithm with no
reorthogonalization . . . . . . . . . . 329--358
John R. Bennett and
David J. Schwab Calculation of the rotational normal
modes of oceans and lakes with general
orthogonal coordinates . . . . . . . . . 359--376
Jolen Flores and
Maurice Holt Glimm's method applied to underwater
explosions . . . . . . . . . . . . . . . 377--387
R. J. Cole Two series representations of the
integral $ \int_0^\infty \exp [ - s
(\psi + y \cos \psi - z \sin \psi)] \, d
\psi $ . . . . . . . . . . . . . . . . . 388--396
J. J. Monaghan A note on Larson's particle method . . . 397--399
Anonymous Announcements . . . . . . . . . . . . . 400--400
Anonymous Author index for volume 44 . . . . . . . 401--401
Gregory J. McRae and
William R. Goodin and
John H. Seinfeld Numerical solution of the atmospheric
diffusion equation for chemically
reacting flows . . . . . . . . . . . . . 1--42
John P. Boyd The optimization of convergence for
Chebyshev polynomial methods in an
unbounded domain . . . . . . . . . . . . 43--79
S. I. Hariharan and
R. C. MacCamy Integral equation procedures for eddy
current problems . . . . . . . . . . . . 80--99
Sten Rettrup An iterative method for calculating
several of the extreme eigensolutions of
large real non-symmetric matrices . . . 100--107
Morton B. Friedman and
David R. Dellwo Accelerated projection methods . . . . . 108--126
Jacob Burbea and
Michael Landau The Kelvin waves in vortex dynamics and
their stability . . . . . . . . . . . . 127--156
W. E. Ferguson, Jr. and
H. Flaschka and
D. W. McLaughlin Nonlinear normal modes for the Toda
Chain . . . . . . . . . . . . . . . . . 157--209
M. P. Carpentier and
A. F. Dos Santos Solution of equations involving analytic
functions . . . . . . . . . . . . . . . 210--220
M. J. P. Cullen The use of quadratic finite element
methods and irregular grids in the
solution of hyperbolic problems . . . . 221--245
K. Hirao and
H. Nakatsuji A generalization of the Davidson's
method to large nonsymmetric eigenvalue
problems . . . . . . . . . . . . . . . . 246--254
John D. Head and
George Blyholder and
Fernando Ruette An automatic procedure for the symmetry
blocking of semi-empirical Hamiltonians 255--265
D. E. Shumaker and
J. K. Boyd and
S. P. Auerbach and
B. McNamara Numerical simulation of transport in a
field-reversed mirror plasma . . . . . . 266--290
L. Aleksandrov and
M. Drenska and
D. Karadjov and
P. Morozov Inverse relativistic problem for the
bound quark-antiquark states . . . . . . 291--299
B. S. Jhaveri and
F. Rosenberger Exact triple integrals of beam functions 300--302
Anonymous Announcements . . . . . . . . . . . . . 303--304
Anonymous List of forthcoming articles . . . . . . 305--305
G. Chavent and
G. Salzano A finite-element method for the $1$-D
water flooding problem with gravity . . 307--344
Bruce I. Cohen and
Robert P. Freis and
Vincent Thomas Orbit-averaged implicit particle codes 345--366
Bruce I. Cohen and
Robert P. Freis Stability and application of an
orbit-averaged magneto-inductive
particle code . . . . . . . . . . . . . 367--373
R. Guardiola and
J. Ros On the numerical integration of the
Schrödinger equation in the
finite-difference schemes . . . . . . . 374--389
R. Guardiola and
J. Ros On the numerical integration of the
Schrödinger equation: Numerical tests . . 390--402
A. K. Aziz and
M. R. Dorr and
R. B. Kellogg Calculation of electromagnetic
scattering by a perfect conductor . . . 403--416
Leslie N. Smith and
Stuart D. Augustin and
Herschel Rabitz Numerical methods for solving
time-dependent quantum-mechanical
problems with applications . . . . . . . 417--442
Li-Yauw Oey Implicit schemes for differential
equations . . . . . . . . . . . . . . . 443--468
Anonymous Author index for volume 45 . . . . . . . 469--469
U. Schumann and
J. Benner Direct solution of the discretized
Poisson--Neumann problem on a domain
composed of rectangles . . . . . . . . . 1--14
Bruce I. Cohen and
A. Bruce Langdon and
A. Friedman Implicit time integration for plasma
simulation . . . . . . . . . . . . . . . 15--38
A. E. Curzon A method for solving $ J_1 (x) Y_1 (\rho
x) - J_1 (\rho x) Y_1 (x) = 0 $ . . . . 39--42
Gabriel Raggio On the Kantorovich technique applied to
the tidal equations in elongated lakes 43--53
Zhen-Huan Teng Elliptic-vortex method for
incompressible flow at high Reynolds
Number . . . . . . . . . . . . . . . . . 54--68
A. I. Shestakov and
J. Killeen and
D. D. Schnack A numerical model for nonaxisymmetric
MHD instabilities . . . . . . . . . . . 69--96
Dimitri Mihalas and
Richard I. Klein On the Solution of the Time-Dependent
Inertial-Frame Equation of radiative
Transfer in Moving Media to $ O(v / c) $ 97--137
Stephen H. Leventhal An operator compact implicit method of
exponential type . . . . . . . . . . . . 138--165
C. E. Wilsdon An approximate method for evaluating the
ratio of two complete elliptic integrals
of the first kind . . . . . . . . . . . 166--167
Anonymous International conference on numerical
methods in laminar and turbulent flow 168--168
Anonymous List of forthcoming articles . . . . . . 169--169
A. R. Barnett Continued-fraction evaluation of Coulomb
functions $ F_\lambda (\eta, x) $, $
G_\lambda (\eta, x) $ and their
derivatives . . . . . . . . . . . . . . 171--188
D. V. Anderson and
J. Breazeal and
C. B. Sharp Calculations of $3$D mirror equilibria
using a finite element vector potential
representation . . . . . . . . . . . . . 189--214
J. A. Belward Numerical solutions of the traction
problem for a fibre-reinforced material
by an integral-equation method . . . . . 215--236
R. D. M. Garcia and
C. E. Siewert Multigroup transport theory with
anisotropic scattering . . . . . . . . . 237--270
J. U. Brackbill and
D. W. Forslund An implicit method for electromagnetic
plasma simulation in two dimensions . . 271--308
D. Heifetz and
D. Post and
M. Petravic and
J. Weisheit and
G. Bateman A Monte--Carlo model of neutral-particle
transport in diverted plasmas . . . . . 309--327
Anonymous List of forthcoming articles . . . . . . 328--328
John H. Mahaffy A stability-enhancing two-step method
for fluid flow calculations . . . . . . 329--341
J. U. Brackbill and
J. S. Saltzman Adaptive zoning for singular problems in
two dimensions . . . . . . . . . . . . . 342--368
Nancy K. Nichols and
Roland England Numerical solution of an elastic
boundary layer problem using a multiple
shooting technique . . . . . . . . . . . 369--389
Alexandre Joel Chorin Numerical estimates of Hausdorff
dimension . . . . . . . . . . . . . . . 390--396
W. K. Stevens and
C. H. Su Three-dimensional steady stratified
flows: A numerical approach . . . . . . 397--422
Andrew D. Booth On the anharmonic oscillator . . . . . . 423--428
R. A. Gingold and
J. J. Monaghan Kernel estimates as a basis for general
particle methods in hydrodynamics . . . 429--453
R. Morrow Space-charge effects in high-density
plasmas . . . . . . . . . . . . . . . . 454--461
Andrea Prosperetti A method for the solution of a class of
singular Volterra integro-differential
equations . . . . . . . . . . . . . . . 462--468
Joe D. Hoffman Relationship between the truncation
errors of centered finite-difference
approximations on uniform and nonuniform
meshes . . . . . . . . . . . . . . . . . 469--474
Anonymous Announcement . . . . . . . . . . . . . . 475--475
Anonymous List of forthcoming articles . . . . . . 476--476
Anonymous Author index for volume 46 . . . . . . . 477--477
Joe F. Thompson and
Zahir U. A. Warsi and
C. Wayne Mastin Boundary-fitted coordinate systems for
numerical solution of partial
differential equations --- a review . . 1--108
Kwing L. Chan and
Charles L. Wolff ADI on staggered mesh --- a method for
the calculation of compressible
convection . . . . . . . . . . . . . . . 109--129
Michio Kumagai A numerical study of wind-driven
circulation in rectangular cavities . . 130--145
P. Cornille A pseudospectral scheme for the
numerical calculation of shocks . . . . 146--159
Anders Sköllermo A better difference scheme for the
Laplace equation in cylindrical
coordinates . . . . . . . . . . . . . . 160--163
Anonymous List of forthcoming articles . . . . . . 164--164
G. S. Pawley and
G. W. Thomas The implementation of lattice
calculations on the DAP . . . . . . . . 165--178
J. S. Bramley and
S. C. R. Dennis The calculation of eigenvalues for the
stationary perturbation of Poiseuille
flow . . . . . . . . . . . . . . . . . . 179--198
J. M. Sanz-Serna An explicit finite-difference scheme
with exact conservation properties . . . 199--210
Per Lötstedt A front tracking method applied to
Burgers' equation and two-phase porous
flow . . . . . . . . . . . . . . . . . . 211--228
J. C. Adam and
A. Gourdin Serveniere and
A. B. Langdon Electron sub-cycling in particle
simulation of plasma . . . . . . . . . . 229--244
Edwin S. Campbell and
Mihaly Mezei Torque algorithms: The permanent
multipole and induced dipole vector
contributions in a set of charge
distributions . . . . . . . . . . . . . 245--257
C. W. Cryer and
P. M. Flanders and
D. J. Hunt and
S. F. Reddaway and
J. Stansbury The solution of linear complementarity
problems on an array processor . . . . . 258--280
Thomas E. Booth Regional Monte Carlo solution of
elliptic partial differential equations 281--290
Franz J. Vesely Angular Monte Carlo integration using
quaternion parameters: a spherical
reference potential for CCl$_4$ . . . . 291--296
A. Nishiguchi and
T. Yabe Finite-sized fluid particle in a
nonuniform moving grid . . . . . . . . . 297--302
John C. Strikwerda Upwind differencing, false scaling, and
nonphysical solutions to the driven
cavity problem . . . . . . . . . . . . . 303--307
Harry Krutter Numerical integration of the
Thomas--Fermi equation from zero to
infinity . . . . . . . . . . . . . . . . 308--312
K. W. Kratky and
W. Schreiner Computational techniques for spherical
boundary conditions . . . . . . . . . . 313--320
R. Van Dooren and
J. Vlassenbroeck Chebyshev series solution of the
controlled Duffing oscillator . . . . . 321--329
Anonymous List of forthcoming articles . . . . . . 330--330
Peter R. Eiseman Coordinate generation with precise
controls over mesh properties . . . . . 331--351
Peter R. Eiseman High level continuity for coordinate
generation with precise controls . . . . 352--374
Heather L. Gordon and
Stuart M. Rothstein and
Timothy R. Proctor Efficient variance-reduction
transformations for the simulation of a
ratio of two means: application to
quantum Monte Carlo simulations . . . . 375--386
Daniel R. Lynch Unified approach to simulation on
deforming elements with application to
phase change problems . . . . . . . . . 387--411
M. D. Feit and
J. A. Fleck, Jr. and
A. Steiger Solution of the Schrödinger equation by a
spectral method . . . . . . . . . . . . 412--433
J.-P Lanquart Error attenuation in Abel inversion . . 434--443
Sòren Toxvaerd A new algorithm for molecular dynamics
calculations . . . . . . . . . . . . . . 444--451
Douglas S. Harned Quasineutral hybrid simulation of
macroscopic plasma phenomena . . . . . . 452--462
J. B. Bell and
G. R. Shubin and
A. B. Stephens A segmentation approach to grid
generation using biharmonics . . . . . . 463--472
Henry E. Fettis and
Robert L. Pexton More on the calculation of oscillatory
integrals . . . . . . . . . . . . . . . 473--476
André Hautot Application of generalized Padé
approximants to the special function
evaluation problem . . . . . . . . . . . 477--488
Samuel Paolucci and
Donald R. Chenoweth Stability of the explicit finite
differenced transport equation . . . . . 489--496
Anonymous List of forthcoming articles . . . . . . 497--497
Anonymous Author index for volume 47 . . . . . . . 498--498
T. B. Gatski and
C. E. Grosch and
M. E. Rose A numerical study of the two-dimensional
Navier--Stokes equations in
vorticity-velocity variables . . . . . . 1--22
P. E. S. Wormer and
F. Visser and
J. Paldus Conjugate gradient method for the
solution of linear equations:
Application to molecular electronic
structure calculations . . . . . . . . . 23--44
C. Schmieg and
P. C. Hägele and
L. M. Beck An efficient matrix algorithm for the
calculation of the gradient of the
conformational energy of polymer chains 45--56
Qin Meng-Zhao An implicit scheme for nonlinear
evolution equations . . . . . . . . . . 57--71
Mitchell D. Smooke Solution of burner-stabilized premixed
laminar flames by boundary value methods 72--105
Milan Kubícek and
Ivan Stuchl and
Milos Marek ``Isolas'' in solution diagrams . . . . 106--116
Nikolaos I. Ioakimidis A natural interpolation formula for
Cauchy-type singular integral equations
with generalized kernels . . . . . . . . 117--126
Eugen F. F. Botta and
Arthur E. P. Veldman On local relaxation methods and their
application to convection-diffusion
equations . . . . . . . . . . . . . . . 127--149
S. M. Eleuterio and
R. V. Mendes Equivalence and Singularities: An
Application of Computer Algebra . . . . 150--156
Anonymous Announcement . . . . . . . . . . . . . . 157--157
Anonymous List of forthcoming articles . . . . . . 158--158
The Editors Editors' foreword . . . . . . . . . . . 159--159
Saul S. Abarbanel and
Earll M. Murman Stability of two-dimensional hyperbolic
initial boundary value problems for
explicit and implicit schemes . . . . . 160--167
M. Barnett and
R. T. Davis and
J. V. Rakich Implicit boundary conditions for the
solution of the parabolized
Navier--Stokes equations for supersonic
flows . . . . . . . . . . . . . . . . . 168--181
Alvin Bayliss and
Eli Turkel Far field boundary conditions for
compressible flows . . . . . . . . . . . 182--199
R. M. Beam and
R. F. Warming and
H. C. Yee Stability analysis of numerical boundary
conditions and implicit difference
approximations for hyperbolic equations 200--222
J. B. Bell and
G. R. Shubin and
J. M. Solomon Fully implicit shock tracking . . . . . 223--245
F. G. Blottner Influence of boundary approximations and
conditions on finite-difference
solutions . . . . . . . . . . . . . . . 246--269
Bertil Gustafsson The choice of numerical boundary
conditions for hyperbolic systems . . . 270--283
S. Rudman and
F. Marconi Three-dimensional boundary conditions in
supersonic flow . . . . . . . . . . . . 284--301
W. T. Thompkins, Jr. and
R. H. Bush Boundary treatments for implicit
solutions to Euler and Navier--Stokes
equations . . . . . . . . . . . . . . . 302--311
Anonymous List of forthcoming articles . . . . . . 312--312
Anonymous Editors' foreword . . . . . . . . . . . 313--313
J. W. Boerstoel A multigrid algorithm for steady
transonic potential flows around
aerofoils using Newton iteration . . . . 314--343
Herman Deconinck and
Charles Hirsch A multigrid method for the transonic
full potential equation discretized with
finite elements on an arbitrary body
fitted mesh . . . . . . . . . . . . . . 344--365
J. E. Dendy J. Black box multigrid . . . . . . . . . . 366--386
U. Ghia and
K. N. Ghia and
C. T. Shin High-Re solutions for incompressible
flow using the Navier--Stokes equations
and a multigrid method . . . . . . . . . 387--411
W. Holland and
S. McCormick and
J. Ruge Unigrid methods for boundary value
problems with nonrectangular domains . . 412--422
B. Oskam and
J. M. J. Fray General relaxation schemes in multigrid
algorithms for higher-order singularity
methods . . . . . . . . . . . . . . . . 423--440
H. Schippers Application of multigrid methods for
integral equations to two problems from
fluid dynamics . . . . . . . . . . . . . 441--461
Arvin Shmilovich and
D. A. Caughey Application of the multigrid method to
calculations of transonic potential flow
about wing--fuselage combinations . . . 462--484
Thomas A. Zang and
Yau Shu Wong and
M. Y. Hussaini Spectral multigrid methods for elliptic
equations . . . . . . . . . . . . . . . 485--501
Anonymous List of Forthcoming Articles . . . . . . 502--502
Anonymous Author index for volume 48 . . . . . . . 503--503
G. J. Pert Quasi-Lagrangian rezoning of fluid codes
maintaining an orthogonal mesh . . . . . 1--43
D. J. Margoliash and
P. W. Langhoff Computational studies of first-born
scattering cross sections I. Spectral
properties of Bethe surfaces . . . . . . 44--66
D. J. Margoliash and
P. W. Langhoff Computational studies of first-born
scattering cross sections II.
Moment-theory approach . . . . . . . . . 67--93
R. C. Grimm and
R. L. Dewar and
J. Manickam Ideal MHD stability calculations in
axisymmetric toroidal coordinate systems 94--117
Hisham M. Ettouney and
Robert A. Brown Finite-element methods for steady
solidification problems . . . . . . . . 118--150
Amiram Harten On the symmetric form of systems of
conservation laws with entropy . . . . . 151--164
R. Schreiber and
H. B. Keller Spurious solutions in driven cavity
calculations . . . . . . . . . . . . . . 165--172
H. O. Pritchard and
S. R. Vatsya Stiffness of the master equation for
low-temperature reaction rates . . . . . 173--178
Anonymous List of forthcoming articles . . . . . . 179--179
Hamid Jafroudi and
H. T. Yang Computation of steady laminar flow over
a circular cylinder with third-order
boundary conditions . . . . . . . . . . 181--198
Lloyd N. Trefethen Group velocity interpretation of the
stability theory of Gustafsson, Kreiss,
and Sundström . . . . . . . . . . . . . . 199--217
Ta-Jo Liu and
R. C. Ackerberg An efficient numerical technique for the
solution of a nonlinear capillary wave
problem . . . . . . . . . . . . . . . . 218--240
Günther Grötzbach Spatial resolution requirements for
direct numerical simulation of the
Rayleigh--Bénard convection . . . . . . . 241--264
Jaap Hoek Strong coupling expansion of the
generating functional for gauge systems
on a lattice with arbitrary sources . . 265--275
T. Y. Han and
J. C. S. Meng and
G. E. Innis An open boundary condition for
incompressible stratified flows . . . . 276--297
E. Dick An overrelaxation method for Euler
equations in steady transonic flow . . . 298--309
R. Schreiber and
H. B. Keller Driven cavity flows by efficient
numerical techniques . . . . . . . . . . 310--333
Magdi M. Shoucri Numerical calculations of
discontinuities by shape preserving
splines . . . . . . . . . . . . . . . . 334--341
Scott Weidman and
Roger A. Pielke A more accurate method for the numerical
solution of nonlinear partial
differential equations . . . . . . . . . 342--348
John D. Ramshaw and
John K. Dukowicz Reply to Kansa's remarks on the
efficiency of ICE-like schemes for
combustion problems . . . . . . . . . . 349--350
Edward J. Kansa Reply to the letter of Rarnshaw and
Dukowicz . . . . . . . . . . . . . . . . 351--353
Anonymous Announcements . . . . . . . . . . . . . 354--355
Anonymous List of forthcoming articles . . . . . . 356--356
Ami Harten High resolution schemes for hyperbolic
conservation laws . . . . . . . . . . . 357--393
T. Erber and
T. M. Rynne and
W. F. Darsow and
M. J. Frank The simulation of random processes on
digital computers: Unavoidable order . . 394--419
Milton E. Rose Compact finite difference schemes for
the Euler and Navier--Stokes equations 420--442
Alvin Bayliss and
Charles I. Goldstein and
Eli Turkel An iterative method for the Helmholtz
equation . . . . . . . . . . . . . . . . 443--457
Jan Emil Larsen and
J. Boiden Pedersen A simple method for calculating
diffusional recombination probabilities 458--464
Richard C. Allen, Jr. and
W. Robert Boland and
G. Milton Wing Numerical experiments involving Galerkin
and collocation methods for linear
integral equations of the first kind . . 465--477
Robert B. Pearson An algorithm for pseudo random number
generation suitable for large scale
integrations . . . . . . . . . . . . . . 478--489
Xavier Aubert and
Michel Deville Steady viscous flows by compact
differences in boundary-fitted
coordinates . . . . . . . . . . . . . . 490--522
Anonymous Announcement . . . . . . . . . . . . . . 523--523
Anonymous List of forthcoming articles . . . . . . 524--524
Anonymous Author index for volume 49 . . . . . . . 525--525
M. J. P. Cullen Current progress and prospects in
numerical techniques for weather
prediction models . . . . . . . . . . . 1--37
Robert N. Miller and
Allan R. Robinson and
Dale B. Haidvogel A baroclinic quasigeostrophic open ocean
model . . . . . . . . . . . . . . . . . 38--70
G. Ryskin and
L. G. Leal Orthogonal mapping . . . . . . . . . . . 71--100
S. K. Aggarwal and
G. J. Fix and
D. N. Lee and
W. A. Sirignano Numerical optimization studies of
axisymmetric unsteady sprays . . . . . . 101--115
Pierre Segur and
Marie-Claude Bordage and
Jean-Pierre Balaguer and
Mohamed Yousfi The application of a modified form of
the $ S_N $ method to the calculation of
swarm parameters of electrons in a
weakly ionised equilibrium medium . . . 116--137
Catherine Sulem and
Pierre-Louis Sulem and
Hél\`ene Frisch Tracing complex singularities with
spectral methods . . . . . . . . . . . . 138--161
J. A. Viecelli Exponential difference operator
approximation for the sixth order
Onsager equation . . . . . . . . . . . . 162--170
Brian Eaton and
Karl Gustafson Calculation of critical branching points
in two-parameter bifurcation problems 171--177
Anonymous Announcement . . . . . . . . . . . . . . 178--178
Anonymous List of forthcoming articles . . . . . . 179--179
R. D. M. Garcia and
C. E. Siewert Multislab multigroup transport theory
with $L$ th the order anisotropic
scattering . . . . . . . . . . . . . . . 181--192
Y. M. Chen and
J. Q. Liu A numerical algorithm for solving
inverse problems of two-dimensional wave
equations . . . . . . . . . . . . . . . 193--208
C. Basdevant Technical improvements for direct
numerical simulation of homogeneous
three-dimensional turbulence . . . . . . 209--214
Marcel Vinokur On one-dimensional stretching functions
for finite-difference calculations . . . 215--234
Ami Harten and
James M. Hyman Self adjusting grid methods for
one-dimensional hyperbolic conservation
laws . . . . . . . . . . . . . . . . . . 235--269
Alexander J. Klimas A numerical method based on the
Fourier--Fourier transform approach for
modeling $1$-D electron plasma evolution 270--306
Samuel Ohring Application of the multigrid method to
Poisson's equation in boundary-fitted
coordinates . . . . . . . . . . . . . . 307--315
Sadao Uchikawa Generation of boundary-fitted
curvilinear coordinate systems for a
two-dimensional axisymmetric flow
problem . . . . . . . . . . . . . . . . 316--321
Anonymous List of forthcoming articles . . . . . . 322--322
Mikhail D. Milkhailov and
Nikolai L. Vulchanov Computational procedure for
Sturm--Liouville problems . . . . . . . 323--336
J. A. Sellwood Quiet starts for galaxy simulations . . 337--359
Richard W. Ziolkowski and
Niel K. Madsen and
Robert C. Carpenter Three-dimensional computer modeling of
electromagnetic fields: A global
lookback lattice truncation scheme . . . 360--408
A. D. Turnbull and
R. G. Storer A plasma resistive diffusion model . . . 409--435
U. Scherz and
B. Nestler Symmetry adapted harmonic oscillator
functions . . . . . . . . . . . . . . . 436--446
Stanley Osher and
Sukumar Chakravarthy Upwind schemes and boundary conditions
with applications to Euler equations in
general geometries . . . . . . . . . . . 447--481
G. L. Payne and
D. R. Nicholson and
R. M. Downie Numerical solution of the Zakharov
equations . . . . . . . . . . . . . . . 482--498
H. J. Krappe On the evaluation of double-folding,
heavy-ion interaction potentials by
Fourier transformation methods . . . . . 499--504
D. R. Masovíc and
F. R. Vukajlovic Spin-orbit interaction in metals,
elementary semiconductors, and
semiconductor compounds . . . . . . . . 505--512
Anonymous Announcement . . . . . . . . . . . . . . 513--513
Anonymous List of forthcoming articles . . . . . . 514--514
Anonymous Author index for volume 50 . . . . . . . 515--515
Z. Zlatev and
R. Berkowicz and
L. P. Prahm Stability restrictions on time-stepsize
for numerical integration of first-order
partial differential equations . . . . . 1--27
Ralph Menikoff and
Charles Zemach Rayleigh--Taylor instability and the use
of conformal maps for ideal fluid flow 28--64
G. Ogen and
B. Schiff Constrained finite elements for singular
boundary value problems . . . . . . . . 65--82
William L. Briggs and
Alan C. Newell and
Talib Sarie Focusing: A mechanism for instability of
nonlinear finite difference equations 83--106
A. Bruce Langdon and
Bruce I. Cohen and
Alex Friedman Direct implicit large time-step particle
simulation of plasmas . . . . . . . . . 107--138
M. A. Kelmanson An integral equation method for the
solution of singular slow flow problems 139--158
C. A. J. Fletcher A comparison of finite element and
finite difference solutions of the one-
and two-dimensional Burgers' equations 159--188
Anonymous List of forthcoming articles . . . . . . 189--189
Masaharu Tanemura and
Tohru Ogawa and
Naofumi Ogita A new algorithm for three-dimensional
Voronoi tessellation . . . . . . . . . . 191--207
B. R. Wienke Suprathermal electron energy deposition
in plasmas with the Fokker--Planck
method . . . . . . . . . . . . . . . . . 208--226
George A. Baker, Jr. and
John E. Brolley Deconvolution of noisy experimental data 227--240
Robert B. Pearson and
John L. Richardson and
Doug Toussain A fast processor for Monte--Carlo
simulation . . . . . . . . . . . . . . . 241--249
A. Hoogland and
J. Spaa and
B. Selman and
A. Compagner A special-purpose processor for the
Monte Carlo simulation of Ising spin
systems . . . . . . . . . . . . . . . . 250--260
Gioietta Kuo-Petravic and
Allen H. Boozer and
James A. Rome and
Ronald H. Fowler Numerical evaluation of magnetic
coordinates for particle transport
studies in asymmetric plasmas . . . . . 261--272
M. J. P. Cullen Analysis of some low-order finite
element schemes for the Navier--Stokes
equations . . . . . . . . . . . . . . . 273--290
M. J. P. Cullen Experiments with some low-order finite
element schemes for the Navier--Stokes
equations . . . . . . . . . . . . . . . 291--312
Wolfram Neutsch Optimal spherical designs and numerical
integration on the sphere . . . . . . . 313--325
A. Frenkel A Chebyshev expansion of singular
integral equations with a logarithmic
kernel . . . . . . . . . . . . . . . . . 326--334
A. Frenkel A Chebyshev expansion of singular
integrodifferential equations with a $
\partial^2 \ln |s - t| / \partial s
\partial t $ kernel . . . . . . . . . . 335--342
A. Davey An automatic orthonormalization method
for solving stiff boundary-value
problems . . . . . . . . . . . . . . . . 343--356
W. M. Pickering Nonpolynomial finite difference schemes
and the use of the fast Fourier
transform . . . . . . . . . . . . . . . 357--363
Anonymous List of forthcoming articles . . . . . . 364--364
Andrea Prosperetti and
Jeffrey W. Jacobs A numerical method for potential flows
with a free surface . . . . . . . . . . 365--386
C. L. Cox and
G. J. Fix and
M. D. Gunzburger A least squares finite element scheme
for transonic flow around harmonically
oscillating airfoils . . . . . . . . . . 387--403
D. Ceperley The simulation of quantum systems with
random walks: A new algorithm for
charged systems . . . . . . . . . . . . 404--422
F. F. Grinstein and
H. Rabitz and
A. Askar The multigrid method for accelerated
solution of the discretized Schrödinger
equation . . . . . . . . . . . . . . . . 423--443
Ram P. Manohar and
John W. Stephenson Single cell high order difference
methods for the Helmholtz equation . . . 444--453
M. G. G. Foreman An analysis of two-step time
discretizations in the solution of the
linearized shallow water equations . . . 454--483
Rodney J. Mason Implicit moment PIC-hybrid simulation of
collisional plasmas . . . . . . . . . . 484--501
F. W. J. Olver and
J. M. Smith Associated Legendre functions on the cut 502--518
Francisco M. Fernández and
Alejandro M. Mesón and
Eduardo A. Castro Accurate calculation of the eigenvalues
of the $ x^2 + \lambda x^2 (1 + g x^2) $
potential . . . . . . . . . . . . . . . 519--526
Tomaso Pomentale Periodic solutions of differential
equations and one-parameter family of
operators . . . . . . . . . . . . . . . 527--535
Anonymous List of forthcoming articles . . . . . . 536--536
Anonymous Author index for volume 51 . . . . . . . 537--537
Clive Temperton Self-sorting mixed-radix Fast Fourier
Transforms . . . . . . . . . . . . . . . 1--23
Hans C. Andersen Rattle: a ``velocity'' version of the
shake algorithm for molecular dynamics
calculations . . . . . . . . . . . . . . 24--34
D. Kosloff and
R. Kosloff A Fourier method solution for the time
dependent Schrödinger equation as a tool
in molecular dynamics . . . . . . . . . 35--53
Tom I-P Shih and
Gene E. Smith and
George S. Springer and
Y. Rimon Boundary conditions for the solution of
compressible Navier--Stokes equations by
an implicit factored method . . . . . . 54--79
Thomas Kaijser A simple inversion method for
determining aerosol size distributions 80--104
R. Kannan and
W. Proskurowski A numerical method for the nonlinear
Neumann problem . . . . . . . . . . . . 105--121
E. Cupini and
A. De Matteis and
R. Simonini Monte Carlo simulation of the
charge-transfer reaction in a plasma . . 122--129
Kenji Inoue Grid generation for cascades using
conformal mapping . . . . . . . . . . . 130--141
James G. Berryman Computing variational bounds for flow
through random aggregates of spheres . . 142--162
Paul Dierckx An algorithm for experimental data
deconvolution using spline functions . . 163--186
O. Betancourt and
F. Herrnegger and
P. Merkel and
J. Nührenberg and
R. Gruber and
F. Troyon Comparison of MHD stability results
obtained with the BETA $3$D and HERA
$2$D codes . . . . . . . . . . . . . . . 187--197
Clive Temperton Note a note on prime factor FFT
algorithms . . . . . . . . . . . . . . . 198--204
M. G. Brown and
J. W. Dungey Note economising plasma simulation by
total neglect of the displacement
current . . . . . . . . . . . . . . . . 205--208
Gioietta Kuo-Petravic Numerical treatment of the axial
singularity in a flux coordinate system
for particle simulation . . . . . . . . 209--213
Sòren Toxvaerd Energy conservation in molecular
dynamics . . . . . . . . . . . . . . . . 214--216
Anonymous List of forthcoming articles . . . . . . 217--217
M. Otsuka and
M. Nagami and
T. Matsuda Birth: A neutral beam deposition code
for non-circular tokamak plasmas . . . . 219--236
G. I. Marchuk and
V. I. Kuzin On the combination of finite element and
splitting-up methods in the solution of
parabolic equations . . . . . . . . . . 237--272
J. M. Sanz-Serna and
V. S. Manoranjan A method for the integration in time of
certain partial differential equations 273--289
M. G. G. Foreman An analysis of the ``wave equation''
model for finite element tidal
computations . . . . . . . . . . . . . . 290--312
I. M. Navon A Numerov--Galerkin technique applied to
a finite-element shallow-water equations
model with enforced conservation of
integral invariants and selective
lumping . . . . . . . . . . . . . . . . 313--339
Clive Temperton Fast mixed-radix real Fourier transforms 340--350
Norman J. Zabusky and
Edward A. Overman II Regularization of contour dynamical
algorithms. I. tangential regularization 351--373
J. J. Monaghan and
R. A. Gingold Shock simulation by the particle method
SPH . . . . . . . . . . . . . . . . . . 374--389
A. Nishiguchi and
T. Yabe Second-order fluid particle scheme . . . 390--413
Dimitri Hatziavramidis and
Hwar-Ching Ku Pseudospectral solutions of laminar heat
transfer problems in pipelines . . . . . 414--424
Anonymous List of forthcoming articles . . . . . . 425--425
A. R. Garlick The use of distorting grids and flux
splitting to model axisymmetric
adiabatic explosions . . . . . . . . . . 427--447
S. C. R. Dennis and
L. Quartapelle Direct solution of the vorticity-stream
function ordinary differential equations
by a Chebyshev approximation . . . . . . 448--463
J. C. T. Wang On the numerical methods for the
singular parabolic equations in fluid
dynamics . . . . . . . . . . . . . . . . 464--479
D. C. Barnes and
T. Kamimura and
J.-N Leboeuf and
T. Tajima Implicit particle simulation of
magnetized plasmas . . . . . . . . . . . 480--502
S. H. Johnson and
A. C. Hindmarsh Numerical dynamic simulation of
solid-fluid reactions in isothermal
porous spheres . . . . . . . . . . . . . 503--523
R. D. Moser and
P. Moin and
A. Leonard A spectral numerical method for the
Navier--Stokes equations with
applications to Taylor--Couette flow . . 524--544
I. Dilber and
J. M. Walsh and
J. Denavit Convergence of stochastic orbit
computations . . . . . . . . . . . . . . 545--568
J. B. Bell and
G. R. Shubin An adaptive grid finite difference
method for conservation laws . . . . . . 569--591
John D. Ramshaw A method for enforcing the solenoidal
condition on magnetic field in numerical
calculations . . . . . . . . . . . . . . 592--596
H. Yamamoto An efficient algorithm for calculating
thrust in high multiplicity reactions 597--601
Anonymous List of forthcoming articles . . . . . . 602--602
Anonymous Author index for volume 52 . . . . . . . 603--603
Chiechun J. Chang and
Robert A. Brown Natural convection in steady
solidification: Finite element analysis
of a two-phase Rayleigh--Bénard problem 1--27
E. Papantonopoulos A computational procedure for
calculating matrix elements and
Clebsch--Gordan coefficients of simple
Lie algebras . . . . . . . . . . . . . . 28--41
H. M. Wu and
E. A. Overman II and
N. J. Zabusky Steady-state solutions of the Euler
equations in two dimensions: Rotating
and translating $V$-states with limiting
cases. I. Numerical algorithms and
results . . . . . . . . . . . . . . . . 42--71
Ian J. M. Booth and
Andrew D. Booth On a class of least-squares
curve-fitting problems . . . . . . . . . 72--81
T. Z. Kalamboukis A Lanczos-type algorithm for the
generalized eigenvalue problem $ A x =
\lambda B x $ . . . . . . . . . . . . . 82--89
D. B. Ingham Unsteady separation . . . . . . . . . . 90--99
A. Y. Aydemir and
D. C. Barnes Three-dimensional nonlinear
incompressible MHD calculations . . . . 100--123
V. H. Ransom and
D. L. Hicks Hyperbolic two-pressure models for
two-phase flow . . . . . . . . . . . . . 124--151
A. B. Stephens and
J. B. Bell and
J. M. Solomon and
L. B. Hackerman A finite difference Galerkin formulation
for the incompressible Navier--Stokes
equations . . . . . . . . . . . . . . . 152--172
S. V. Chernov Analytical wavefunction normalization
procedure in KKR-method . . . . . . . . 173--180
Ken-Ichi Kanatani The accuracy and the preservation
property of the discrete mechanics . . . 181--187
R. Piessens Chebyshev series approximations for the
zeros of the Bessel functions . . . . . 188--192
V. C. Aguilera-Navarro and
M. C. K. Aguilera-Navarro On the zeroes of infinite series . . . . 193--196
Henry F. Fettis On the calculation of Wu's integral . . 197--204
Anonymous Erratum . . . . . . . . . . . . . . . . 205--205
Anonymous Announcement . . . . . . . . . . . . . . 206--207
Anonymous List of forthcoming articles . . . . . . 208--208
Ching-Jen Chen and
Hamn-Ching Chen Finite analytic numerical method for
unsteady two-dimensional Navier--Stokes
equations . . . . . . . . . . . . . . . 209--226
Benoit Cushman-Roisin Analytical, linear stability criteria
for the leap-frog, Dufort--Frankel
method . . . . . . . . . . . . . . . . . 227--239
Jeffrey M. Augenbaum A Lagrangian method for the shallow
water equations based on a Voronoi
mesh-one dimensional results . . . . . . 240--265
R. J. Ribando and
M. A. Shadday, Jr. The Ekman matching condition in a
partially filled, rapidly rotating
cylinder . . . . . . . . . . . . . . . . 266--288
R. D. Swindoll and
J. M. Haile A multiple time-step method for
molecular dynamics simulations of fluids
of chain molecules . . . . . . . . . . . 289--298
John Greenstadt The use of nonrational functions to
represent steep front solutions to
partial differential equations . . . . . 299--318
Kazuyoshi Miki and
Toshiyuki Takagi A domain decomposition and overlapping
method for the generation of
three-dimensional boundary-fitted
coordinate systems . . . . . . . . . . . 319--330
B. R. Wienke and
B. L. Lathrop Fast scheme for photon-Maxwellian
electron cross sections . . . . . . . . 331--345
E. H. Hirschel and
A. Groh Wall-compatibility condition for the
solution of the Navier--Stokes equations 346--350
M. H. Redi and
D. A. Larrabee Plasma equilibrium calculations by line
successive over relaxation . . . . . . . 351--356
Anonymous List of forthcoming articles . . . . . . 357--357
Peter J. O'Rourke The turn function and vorticity method
for numerical fluid dynamics . . . . . . 359--381
Paul A. Bernhardt and
J. U. Brackbill Solution of elliptic equations using
fast Poisson solvers . . . . . . . . . . 382--394
Ch Sack and
H. Schamel SUNION-an algorithm for one-dimensional
laser-plasma interaction . . . . . . . . 395--428
Y. M. Chen and
J. Q. Liu An iterative numerical algorithm for
solving multi-parameter inverse problems
of evolutional partial differential
equations . . . . . . . . . . . . . . . 429--442
Abdelfattah Zebib A Chebyshev method for the solution of
boundary value problems . . . . . . . . 443--455
D. E. Shumaker Numerical calculation of compact torus
equilibria . . . . . . . . . . . . . . . 456--471
Timothy N. Phillips Numerical solution of a coupled pair of
elliptic equations from solid state
electronics . . . . . . . . . . . . . . 472--483
Marsha J. Berger and
Joseph Oliger Adaptive Mesh Refinement for Hyperbolic
Partial Differential Equations . . . . . 484--512
E. S. Takle and
J. M. Leone, Jr. Application of a log-linear element to a
finite-element boundary-layer flow model 513--523
J. S. Bramley Note on the calculation of eigenvalues
for the stationary perturbation of
Poiseuille flow . . . . . . . . . . . . 524--529
Charles C. Dyer A modified Muller routine for finding
the zeroes of a non-analytic complex
function . . . . . . . . . . . . . . . . 530--534
Anonymous List of forthcoming articles . . . . . . 535--535
Anonymous Author index for volume 53 . . . . . . . 536--536
R. C. Y. Chin and
Freeman Gilbert and
Gerald Hedstrom Preface . . . . . . . . . . . . . . . . 1--2
Keiiti Aki Short period seismology . . . . . . . . 3--17
R. C. Y. Chin and
Gerald Hedstrom and
Lewis Thigpen Numerical methods in seismology . . . . 18--56
J. N. Lyness The calculation of trigonometric Fourier
coefficients . . . . . . . . . . . . . . 57--73
L. F. Shampine Stiffness and the automatic selection of
ODE codes . . . . . . . . . . . . . . . 74--86
J. M. Varah Computational methods in linear algebra 87--94
Ray Buland and
Freeman Gilbert Computation of free oscillations of the
Earth . . . . . . . . . . . . . . . . . 95--114
Paul Woodward and
Phillip Colella The numerical simulation of
two-dimensional fluid flow with strong
shocks . . . . . . . . . . . . . . . . . 115--173
Phillip Colella and
Paul R. Woodward The Piecewise Parabolic Method (PPM) for
gas-dynamical simulations . . . . . . . 174--201
Anonymous Erratum . . . . . . . . . . . . . . . . 202--202
Anonymous List of forthcoming articles . . . . . . 203--203
Timothy S. Axelrod and
Paul F. Dubois and
Clifford E. Rhoades, Jr. An implicit scheme for calculating time-
and frequency-dependent flux limited
radiation diffusion in one dimension . . 205--220
V. S. Melezhik and
I. V. Puzynin and
T. P. Puzynina and
L. N. Somov Numerical solution of a system of
integrodifferential equations arising
from the quantum mechanical three-body
problem with Coulomb interaction . . . . 221--236
Fernando G. Basombrio Finite element formulation of
radioisotope diffusion in metal grain
textures . . . . . . . . . . . . . . . . 237--244
Jaap Hoek Strong coupling expansion of the $ {\rm
SU}(3) $ and $ {\rm U}(3) $ effective
actions . . . . . . . . . . . . . . . . 245--259
P. Similon and
J. E. Sedlak and
D. Stotler and
H. L. Berk and
W. Horton and
D. Choi Guiding-center dispersion function . . . 260--277
J. J. Dongarra and
J. R. Gabriel and
D. D. Koelling and
J. H. Wilkinson Solving the Secular Equation Including
Spin Orbit Coupling for Systems with
Inversion and Time-Reversal Symmetry . . 278--288
Carl W. Helstrom and
Stephen O. Rice Computation of counting distributions
arising from a single-stage
multiplicative process . . . . . . . . . 289--324
Piotr K. Smolarkiewicz A fully multidimensional positive
definite advection transport algorithm
with small implicit diffusion . . . . . 325--362
Anonymous List of forthcoming articles . . . . . . 363--363
Timothy N. Phillips Natural convection in an enclosed cavity 365--381
John P. Boyd Asymptotic coefficients of Hermite
function series . . . . . . . . . . . . 382--410
John K. Dukowicz Conservative rezoning (remapping) for
general quadrilateral meshes . . . . . . 411--424
James Sethian Turbulent combustion in open and closed
vessels . . . . . . . . . . . . . . . . 425--456
J. L. Mohamed De Vogelaere's method for the automatic
solution of systems of coupled
homogeneous second-order differential
equations . . . . . . . . . . . . . . . 457--467
Anthony T. Patera A spectral element method for fluid
dynamics: Laminar flow in a channel
expansion . . . . . . . . . . . . . . . 468--488
Thomas A. Zang and
Yau Shu Wong and
M. Yousuff Hussaini Spectral multigrid methods for elliptic
equations II . . . . . . . . . . . . . . 489--507
J. A. Fleck, Jr. and
E. H. Canfield A random walk procedure for improving
the computational efficiency of the
implicit Monte Carlo method for
nonlinear radiation transport . . . . . 508--523
P. R. Brazier-Smith On the limitations of spherical
harmonics for the solution of Laplace's
equation . . . . . . . . . . . . . . . . 524--530
K. A. Cliffe and
K. H. Winters A numerical study of the cusp
catastrophe for Bénard convection in
tilted cavities . . . . . . . . . . . . 531--534
Anonymous List of forthcoming articles . . . . . . 535--535
Anonymous Author index for volume 54 . . . . . . . 536--536
Matania Ben-Artzi and
Joseph Falcovitz A second-order Godunov-type scheme for
compressible fluid dynamics . . . . . . 1--32
Y. Q. Hu and
S. T. Wu A full-implicit-continuous-Eulerian
(FICE) scheme for multidimensional
transient magnetohydrodynamic (MHD)
flows . . . . . . . . . . . . . . . . . 33--64
J. W. Stephenson Single cell discretizations of order two
and four for biharmonic problems . . . . 65--80
P. R. M. Storchi Application of the $ P_n $-method to the
calculation of the annular flux of gamma
rays . . . . . . . . . . . . . . . . . . 81--97
A. K. Wong and
J. A. Reizes An effective vorticity-vector potential
formulation for the numerical solution
of three-dimensional duct flow problems 98--114
P. Haldenwang and
G. Labrosse and
S. Abboudi and
M. Deville Chebyshev $3$-D spectral and $2$-D
pseudospectral solvers for the Helmholtz
equation . . . . . . . . . . . . . . . . 115--128
A. Nicolai and
D. Reiter A multicode describing the time
evolution of the atomic protium,
deuterium, and tritium densities in the
first wall of a tokamak reactor . . . . 129--153
Ko Alzu Time-reversal invariance and linear
multistep methods for integrating
dynamical systems . . . . . . . . . . . 154--156
Mark H. Dunn and
S. I. Hariharan Numerical computations on
one-dimensional inverse scattering
problems . . . . . . . . . . . . . . . . 157--165
Murli M. Gupta A fourth-order Poisson solver . . . . . 166--172
Anonymous Announcement . . . . . . . . . . . . . . 173--173
Anonymous List of forthcoming articles . . . . . . 174--174
A. B. Stephens and
G. R. Shubin Exponentially derived switching schemes
for inviscid flow . . . . . . . . . . . 175--191
Thiab R. Taha and
Mark J. Ablowitz Analytical and numerical aspects of
certain nonlinear evolution equations.
I. Analytical . . . . . . . . . . . . . 192--202
Thiab R. Taha and
Mark I. Ablowitz Analytical and numerical aspects of
certain nonlinear evolution equations.
II. Numerical, nonlinear Schrödinger
equation . . . . . . . . . . . . . . . . 203--230
Thiab R. Taha and
Mark I. Ablowitz Analytical and numerical aspects of
certain nonlinear evolution equations.
III. Numerical, Korteweg--de Vries
equation . . . . . . . . . . . . . . . . 231--253
Martin Holodniok and
Milan Kubícek DERPER-an algorithm for the continuation
of periodic solutions in ordinary
differential equations . . . . . . . . . 254--267
Mohan K. Kadalbajoo and
K. S. Raman Numerical solution of singular boundary
value problems by invariant imbedding 268--277
Zahari Zlatev and
Ruwim Berkowicz and
Lars P. Prahm Implementation of a variable stepsize
variable formula method in the
time-integration part of a code for
treatment of long-range transport of air
pollutants . . . . . . . . . . . . . . . 278--301
Scott R. Fulton and
G. D. Taylor On the Gottlieb--Turkel time filter for
Chebyshev spectral methods . . . . . . . 302--312
B. Shizgal and
R. Blackmore A discrete ordinate method of solution
of linear boundary value and eigenvalue
problems . . . . . . . . . . . . . . . . 313--327
Bertram Hui and
Martin Lampe A nonlinear implicit code for
relativistic electron beam tracking
studies . . . . . . . . . . . . . . . . 328--339
Ingrid Y. Bucher and
Thomas L. Jordan Solving very large elliptic problems on
a supercomputer with solid state disk 340--345
Anonymous List of forthcoming articles . . . . . . 346--346
Mark A. Hausman and
William W. Roberts, Jr. Three dimensional, stratified gas flows
past an obstacle . . . . . . . . . . . . 347--368
D. J. Bond Application of the Chebyshev method to
radiative transfer calculations for
laser heated targets . . . . . . . . . . 369--376
H. Thomas Sharp and
Wesley L. Harris A pseudo-spectral method and parametric
differentiation applied to the
Falkner--Skan equation . . . . . . . . . 377--386
Abdullah Sadiq A new algorithm for the Monte Carlo
simulation of spin-exchange kinetics of
Ising systems . . . . . . . . . . . . . 387--396
D. F. Mayers and
D. M. Turner The evaluation of relativistic
oscillatory wavefunctions on a
logarithmic grid . . . . . . . . . . . . 397--407
R. W. S. Foulser Mass diffusion through a moving
interface using a moving finite element
mesh . . . . . . . . . . . . . . . . . . 408--425
Nobuhiro Kosugi Modification of the Liu--Davidson method
for obtaining one or simultaneously
several eigensolutions of a large
real-symmetric matrix . . . . . . . . . 426--436
T. J. Bridges and
P. J. Morris Differential eigenvalue problems in
which the parameter appears nonlinearly 437--460
Gary A. Glatzmaier Numerical simulations of stellar
convective dynamos. I. the model and
method . . . . . . . . . . . . . . . . . 461--484
D. D. Schnack and
D. C. Baxter and
E. J. Caramana A pseudospectral algorithm for
three-dimensional magnetohydrodynamic
simulation . . . . . . . . . . . . . . . 485--514
Anonymous Announcements . . . . . . . . . . . . . 515--516
Anonymous List of forthcoming articles . . . . . . 517--517
Anonymous Author index for volume 55 . . . . . . . 518--518
Joab R. Winkler and
J. Brian Davies Elimination of spurious modes in finite
element analysis . . . . . . . . . . . . 1--14
Youngki Choi and
Joseph A. C. Humphrey Analytical prediction of two-dimensional
potential flow due to fixed vortices in
a rectangular domain . . . . . . . . . . 15--27
Donald Greenspan Conservative numerical methods for $
\ddot x = f(x) $ . . . . . . . . . . . . 28--41
Jeffrey M. Bowen Graphic displays of gravitational
initial data . . . . . . . . . . . . . . 42--50
Bruce J. Cohen and
A. Bruce Langdon and
Alex Friedman Smoothing and spatial grid effects in
implicit particle simulation . . . . . . 51--64
Stephen F. Davis A rotationally biased upwind difference
scheme for the Euler equations . . . . . 65--92
Nobuhiro Morishima Spectral estimation through cubic-spline
approximation of a discrete time series 93--110
Aaron L. Fogelson A mathematical model and numerical
method for studying platelet adhesion
and aggregation during blood clotting 111--134
P. K. Sweby and
M. J. Baines On convergence of Roe's scheme for the
general non-linear scalar wave equation 135--148
D. Eyre Splines and a three-body separable
expansion for scattering problems . . . 149--164
Jeremy M. Hutson A quadrature scheme for matrix elements
between numerical wavefunctions . . . . 165--172
Anonymous List of forthcoming articles . . . . . . 173--173
N. T. Gladd Symbolic manipulation techniques for
plasma kinetic theory derivations . . . 175--202
James M. Witting A unified model for the evolution
nonlinear water waves . . . . . . . . . 203--236
B. E. McDonald and
J. M. Witting A conservation law related to Kelvin's
circulation theorem . . . . . . . . . . 237--243
M. A. Kelmanson Solution of nonlinear elliptic equations
with boundary singularities by an
integral equation method . . . . . . . . 244--258
David Vanderbilt and
Steven G. Louie A Monte Carlo simulated annealing
approach to optimization over continuous
variables . . . . . . . . . . . . . . . 259--271
A. B. Cain and
J. H. Ferziger and
W. C. Reynolds Discrete orthogonal function expansions
for non-uniform grids using the Fast
Fourier Transform . . . . . . . . . . . 272--286
M. G. G. Foreman A two-dimensional dispersion analysis of
selected methods for solving the
linearized shallow water equations . . . 287--323
John K. Dukowicz A simplified adaptive mesh technique
derived from the moving finite element
method . . . . . . . . . . . . . . . . . 324--342
Faruk Civan and
C. M. Sliepcevich On the solution of the Thomas--Fermi
equation by differential quadrature . . 343--348
John L. Walmsley On the efficient evaluation of modified
Bessel functions of zeroth and first
orders for arguments of the form $ x
\exp (i \pi / 4) $ . . . . . . . . . . . 349--355
A. M. J. G. Van Run An optimum time step length for
convergence to steady-state solution in
compressible-flow calculations . . . . . 356--360
Anonymous List of Forthcoming Articles . . . . . . 361--361
H. Bruce Stewart and
Burton Wendroff Two-phase flow: Models and methods . . . 363--409
Guillermo Marshall and
Bradley Plohr A random choice method for
two-dimensional steady supersonic shock
wave diffraction problems . . . . . . . 410--427
J. M. Sicilian and
C. W. Hirt An efficient computation scheme for
tracking contaminant concentrations in
fluid flows . . . . . . . . . . . . . . 428--447
B. Edward McDonald and
John Ambrosiano High-order upwind flux correction
methods for hyperbolic conservation laws 448--460
Viktor K. Decyk Energy and momentum conservation
theorems for electrostatic simulations 461--468
A. I. Shestakov and
A. A. Mirin A Fourier method for three-dimensional
partial differential equations in
periodic geometry. Application: HELIAC 469--494
Hwar-Ching Ku and
Dimitri Hatziavramidis Chebyshev expansion methods for the
solution of the extended Graetz problem 495--512
Michael B. Giles and
Milton E. Rose A numerical study of the steady scalar
convective diffusion equation for small
viscosity . . . . . . . . . . . . . . . 513--529
J. A. Viecelli Solution of the Onsager equation in
doubly connected regions . . . . . . . . 530--536
Anonymous List of forthcoming articles . . . . . . 537--537
Anonymous Author index for volume 56 . . . . . . . 538--538
Dimitri Mihalas The computation of radiation transport
using Feautrier variables I. Static
media . . . . . . . . . . . . . . . . . 1--25
M. Balarin Accuracy of various approximations to
the exponential integral in glow curve
theory . . . . . . . . . . . . . . . . . 26--42
Craig L. Streett and
Thomas A. Zang and
M. Yousuff Hussaini Spectral multigrid methods with
applications to transonic potential flow 43--76
E. Cupini and
A. De Matteis and
R. Simonini Approximation error in the rate
coefficients of neutral-ion interactions 77--89
Lars E. Eriksson and
Arthur Rizzi Computer-aided analysis of the
convergence to steady state of discrete
approximations to the Euler equations 90--128
R. Morrow and
L. E. Cram Flux-corrected transport and diffusion
on a non-uniform mesh . . . . . . . . . 129--136
J. J. Sidorowich and
W. H. Wells Multiple scattering in stratified
inhomogeneous media . . . . . . . . . . 137--154
Anonymous List of forthcoming articles . . . . . . 155--155
M. Calvin Mosher A variable node finite element method 157--187
G. Delic and
G. H. Rawitscher Sturmian eigenvalue equations with a
Chebyshev polynomial basis . . . . . . . 188--209
P. Le Quere and
T. Alziary De Roquefortt Computation of natural convection in
two-dimensional cavities with Chebyshev
polynomials . . . . . . . . . . . . . . 210--228
Ken-ichi Kanatani and
Osamu Ishikawa Error analysis for the stereological
estimation of sphere size distribution:
Abel type integral equation . . . . . . 229--250
Stanly Steinberg and
Patrick J. Roache Symbolic manipulation and computational
fluid dynamics . . . . . . . . . . . . . 251--284
Diethard Bergers Kinetic model solution for axisymmetric
flow by the method of discrete ordinates 285--302
Daniel R. Lynch and
John M. Sullivan, Jr. Heat conservation in deforming element
phase change simulation . . . . . . . . 303--317
Johan G. B. Beumeé and
Larry Eno and
Herschel Rabitz Pointwise feature sensitivity analysis 318--325
Anonymous List of Forthcoming Articles . . . . . . 326--326
H. C. Yee and
R. F. Warming and
A. Harten Implicit total variation diminishing
(TVD) schemes for steady-state
calculations . . . . . . . . . . . . . . 327--360
E. Oset and
L. L. Salcedo Error sources in the standard numerical
integration of the Schrödinger equation:
An improved method . . . . . . . . . . . 361--377
D. F. St. Mary and
Ding Lee Analysis of an implicit finite
difference solution to an underwater
wave propagation problem . . . . . . . . 378--390
E. D. Chikhliwala and
Y. C. Yortsos Application of orthogonal mapping to
some two-dimensional domains . . . . . . 391--402
E. E. Kunhardt and
P. F. Williams Direct solution of Poisson's equation in
cylindrically symmetric geometry: A fast
algorithm . . . . . . . . . . . . . . . 403--414
Wei Shyy A study of finite difference
approximations to steady-state,
convection-dominated flow problems . . . 415--438
Gary A. Dilts Computation of spherical harmonic
expansion coefficients via FFT's . . . . 439--453
John P. Boyd Complex coordinate methods for
hydrodynamic instabilities and
Sturm--Liouville eigenproblems with an
interior singularity . . . . . . . . . . 454--471
Alexandre Joel Chorin Curvature and solidification . . . . . . 472--490
Alejandro M. Mesón and
Francisco M. Fernández and
Eduardo A. Castro and
Alberto Maltz and
Rodolfo Rodriguez Shift of the coordinate origin in
calculating resonances by dilatation
transformation . . . . . . . . . . . . . 491--494
Anonymous Announcement . . . . . . . . . . . . . . 495--495
Anonymous List of forthcoming articles . . . . . . 496--496
Anonymous Author index for volume 57 . . . . . . . 497--497
Joseph D. Baum and
Jay N. Levine A critical study of numerical methods
for the solution of nonlinear hyperbolic
equations for resonance systems . . . . 1--28
Stephen Roberts Accuracy of the random vortex method for
a problem with non-smooth initial
conditions . . . . . . . . . . . . . . . 29--43
M. Chapman and
E. M. Waisman A noise suppression algorithm for the
numerical solution of Maxwell's
equations . . . . . . . . . . . . . . . 44--58
E. Livne and
A. Glasner A finite difference scheme for the heat
conduction equation . . . . . . . . . . 59--66
Toshiyuki Takagi and
Kazuyoshi Miki and
Brian C. J. Chen and
William T. Sha Numerical generation of boundary-fitted
curvilinear coordinate systems for
arbitrarily curved surfaces . . . . . . 67--79
Ya. L. Bogomolov and
A. D. Yunakovsky Numerical simulation of nonstationary
processes in free electron lasers . . . 80--95
Achi Brandt and
Scott R. Fulton and
G. D. Taylor Improved spectral multigrid methods for
periodic elliptic problems . . . . . . . 96--112
Felicja Mrugala Log-derivative method for two-potential
scattering problems . . . . . . . . . . 113--133
S. I. Hariharan and
Harold C. Lester Acoustic shocks in a variable area duct
containing near sonic flows . . . . . . 134--145
Kenji Inoue Grid generation for inlet configurations
using conformal mapping . . . . . . . . 146--154
Anonymous List of forthcoming articles . . . . . . 155--155
Harland M. Glaz and
Andrew B. Wardlaw A high-order Godunov scheme for steady
supersonic gas dynamics . . . . . . . . 157--187
J. T. Beale and
A. Majda High order accurate vortex methods with
explicit velocity kernels . . . . . . . 188--208
B. S. Ng and
W. H. Reid The compound matrix method for ordinary
differential systems . . . . . . . . . . 209--228
J. M. Floryan Conformal-mapping-based coordinate
generation method for channel flows . . 229--245
Daniel R. Lynch and
Keith D. Paulsen and
John W. Strohbehn Finite element solution of Maxwell's
equations for hyperthermia treatment
planning . . . . . . . . . . . . . . . . 246--269
Ko Aizu Canonical transformation invariance and
linear multistep formula for integration
of Hamiltonian systems . . . . . . . . . 270--274
J. Caldwell and
R. Saunders and
P. Wanless A note on variational-iterative schemes
applied to Burgers' equation . . . . . . 275--281
Anonymous List of forthcoming articles . . . . . . 282--282
Clive Temperton Implementation of a self-sorting
in-place prime factor FFT algorithm . . 283--299
K. M. Ling and
S. C. Jardin The Princeton Spectral Equilibrium Code:
PSEC . . . . . . . . . . . . . . . . . . 300--335
Jonathan Goodman and
Andrew Majda The validity of the modified equation
for nonlinear shock waves . . . . . . . 336--348
M. B. Giles and
W. T. Thompkins, Jr. Propagation and stability of wavelike
solutions of finite difference equations
with variable coefficients . . . . . . . 349--360
J. D. Ramshaw and
P. J. O'Rourke and
L. R. Stein Pressure gradient scaling method for
fluid flow with nearly uniform pressure 361--376
Patrick J. Mann Some mixed finite element-finite
difference methods for spherically
symmetric relativistic collapse . . . . 377--394
Chr. Kaas-Petersen Computation of quasi-periodic solutions
of forced dissipative systems . . . . . 395--408
John W. Perram and
M. S. Wertheim Statistical mechanics of hard
ellipsoids. I. Overlap algorithm and the
contact function . . . . . . . . . . . . 409--416
Philip S. Brown, Jr. An implicit scheme for efficient
solution of the
coalescence/collision-breakup equation 417--431
Anonymous List of forthcoming articles . . . . . . 432--432
Anonymous Author index for volume 58 . . . . . . . 433--433
K. Binder The Monte Carlo method for the study of
phase transitions: A review of some
recent progress . . . . . . . . . . . . 1--55
G. B. Scharmer and
M. Carlsson A new approach to multi-level non-LTE
radiative transfer problems . . . . . . 56--80
C. S. Tan Accurate solution of three-dimensional
Poisson's equation in cylindrical
coordinate by expansion in Chebyshev
polynomials . . . . . . . . . . . . . . 81--95
V. C. Boffi and
G. Spiga and
J. R. Thomas, Jr. Solution of a nonlinear integral
equation arising in particle transport
theory . . . . . . . . . . . . . . . . . 96--107
A. Y. Aydemir and
D. C. Barnes An implicit algorithm for compressible
three-dimensional magnetohydrodynamic
calculations . . . . . . . . . . . . . . 108--119
JoséE Castillo and
Robert E. Wyatt Recursive residue generation method for
laser-molecule interaction: utilization
of structured sparsity . . . . . . . . . 120--135
Rob Bisseling and
Ronnie Kosloff The fast Hankel transform as a tool in
the solution of the time dependent
Schrödinger equation . . . . . . . . . . 136--151
E. Runca and
P. Melli and
F. Sardei An analysis of a finite-difference and a
Galerkin technique applied to the
simulation of advection and diffusion of
air pollutants from a line source . . . 152--166
W. Neutsch and
E. Schrüfer and
A. Jessner Efficient integration on the hypersphere 167--175
Anonymous List of forthcoming articles . . . . . . 176--176
Jeffrey M. Augenbaum and
Charles S. Peskin On the construction of the Voronoi mesh
on a sphere . . . . . . . . . . . . . . 177--192
John D. Ramshaw Conservative rezoning algorithm for
generalized two-dimensional meshes . . . 193--199
Mirta Perlman On the accuracy of vortex methods . . . 200--223
Mahesh S. Greywall Streamwise computation of
two-dimensional incompressible potential
flows . . . . . . . . . . . . . . . . . 224--231
Wim A. Mulder and
Bram Van Leer Experiments with implicit upwind methods
for the Euler equations . . . . . . . . 232--246
C. Vuik and
C. Cuvelier Numerical solution of an etching problem 247--263
Phillip Colella and
Harland M. Glaz Efficient solution algorithms for the
Riemann problem for real gases . . . . . 264--289
T. Scott Multi-grid methods for oil reservoir
simulation in two and three dimensions 290--307
J. Kim and
P. Moin Application of a fractional-step method
to incompressible Navier--Stokes
equations . . . . . . . . . . . . . . . 308--323
Ph. de Forcrand and
D. Lellouch and
C. Roiesnel Optimizing a lattice QCD simulation
program . . . . . . . . . . . . . . . . 324--330
M. S. Milgram and
H. C. Lee Tables of divergent Feynman integrals in
the axial and light-cone gauges . . . . 331--346
Roland Sonnenschein An improved algorithm for molecular
dynamics simulation of rigid molecules 347--350
Anonymous List of forthcoming articles . . . . . . 351--351
I. Christie Upwind compact finite difference schemes 353--368
Jim O. Olsson and
Lars L. Andersson Time-dependent solution of pre-mixed
laminar flames with a known temperature
profile . . . . . . . . . . . . . . . . 369--387
Avram Sidi Numerical evaluation of a Cauchy
principal value integral that arises in
a problem involving the generation of
instability waves . . . . . . . . . . . 388--395
A. Bayliss and
C. I. Goldstein and
E. Turkel On accuracy conditions for the numerical
computation of waves . . . . . . . . . . 396--404
W. C. Horak and
J. J. Dorning A nodal coarse-mesh method for the
efficient numerical solution of laminar
flow problems . . . . . . . . . . . . . 405--440
Finbarr O'Sullivan and
Grace Wahba A cross validated Bayesian retrieval
algorithm for nonlinear remote sensing
experiments . . . . . . . . . . . . . . 441--455
R. K. Mains and
M. A. El-Gabaly and
G. I. Haddad Finite-difference numerical methods for
solving the energy-momentum transport
equations in two-valley semiconductors 456--467
B. D. Ganapol Reconstruction of the time-dependent
monoenergetic neutron flux from moments 468--483
J. D. Ramshaw and
A. A. Amsden Improved iteration scheme for partial
equilibrium flow . . . . . . . . . . . . 484--489
N. I. Ioakimidis and
E. G. Anastasselou A modification of the Delves--Lyness
method for locating the zeros of
analytic functions . . . . . . . . . . . 490--492
V. B. Belyaev and
O. I. Kartavtsev Finite-dimensional approximation of the
differential operator in problems of
quantum mechanics . . . . . . . . . . . 493--498
J. M. Harder and
A. R. Allnatt Solution of Ornstein--Zernike integral
equations for lattice gases . . . . . . 499--506
Anonymous List of forthcoming articles . . . . . . 507--507
Anonymous Author index for volume 59 . . . . . . . 508--508
Clarence E. Lee and
Bruce C. Wilson A conservative variational method for
multicomponent concentration time
dependent diffusion . . . . . . . . . . 1--22
Sin-Chung Chang and
John J. Adamczyk A new approach for solving the
three-dimensional steady Euler
equations. I. General theory . . . . . . 23--40
Sin-Chung Chang and
John J. Adamczyk A new approach for solving the
three-dimensional steady Euler
equations. II. Application to secondary
flows in a turning channel . . . . . . . 41--61
Douglas S. Harned and
W. Kerner Semi-implicit method for
three-dimensional compressible
magnetohydrodynamic simulation . . . . . 62--75
T. C. Hender and
B. A. Carreras and
L. Garcia and
J. A. Rome and
V. E. Lynch The calculation of stellarator
equilibria in vacuum flux surface
coordinates . . . . . . . . . . . . . . 76--96
Gordon P. Ramsey The Laguerre method for solving
integro-differential equations . . . . . 97--118
Eugen F. F. Botta and
Marcel H. M. Ellenbroek A modified SOR method for the Poisson
equation in unsteady free-surface flow
calculations . . . . . . . . . . . . . . 119--134
W. M. Coughran, Jr. On Noncharacteristic Boundary Conditions
for Discrete Hyperbolic
Initial-Boundary-Value Problems . . . . 135--154
K. A. Cliffs and
C. P. Jackson and
K. H. Winters Natural convection at very high Rayleigh
numbers . . . . . . . . . . . . . . . . 155--160
P. M. Gresho and
R. L. Lee Partial vindication of the bilinear
velocity, piecewise constant pressure
element . . . . . . . . . . . . . . . . 161--164
Anonymous List of forthcoming articles . . . . . . 165--165
Anonymous Announcement . . . . . . . . . . . . . . 166--166
J. L. Bona and
W. G. Pritchard and
L. R. Scott Numerical schemes for a model for
nonlinear dispersive waves . . . . . . . 167--186
Vladimir Rokhlin Rapid solution of integral equations of
classical potential theory . . . . . . . 187--207
E. Buendia and
R. Guardiola Critical values of the coupling constant
of short range potentials . . . . . . . 208--218
Keith Meintjes and
Alexander P. Morgan Performance of algorithms for
calculating the equilibrium composition
of a mixture of gases . . . . . . . . . 219--234
Wim A. Mulder Multigrid relaxation for the Euler
equations . . . . . . . . . . . . . . . 235--252
J. J. Monaghan Extrapolating $B$ splines for
interpolation . . . . . . . . . . . . . 253--262
B. M. Herbst and
A. R. Mitchell and
J. A. C. Weideman On the stability of the nonlinear
Schrödinger equation . . . . . . . . . . 263--281
B. M. Herbst and
J. Ll Morris and
A. R. Mitchell Numerical experience with the nonlinear
Schrödinger equation . . . . . . . . . . 282--305
D. C. Rapaport Molecular dynamics simulation using
quaternions . . . . . . . . . . . . . . 306--314
Claudio Canuto and
Alfio Quarteroni Preconditioned minimal residual methods
for Chebyshev spectral calculations . . 315--337
C. R. Handy and
S. P. Hirshman Accelerated convergence of the steepest
descent method for magnetohydrodynamic
equilibria . . . . . . . . . . . . . . . 338--345
K. H. Winters and
K. A. Cliffe Convergence properties of the
finite-element method for Bénard
Convection in an infinite layer . . . . 346--351
Anonymous List of forthcoming articles . . . . . . 352--352
E. M. Haines Generation of random fields defined on a
cluster of points when the random field
has a given site-to-site correlation . . 353--375
Joyce M. Aitchison and
S. D. Howison Computation of Hele--Shaw flows with
free boundaries . . . . . . . . . . . . 376--390
Hideaki Miyata and
Shinichi Nishimura and
Akira Masuko Finite difference simulation of
nonlinear waves generated by ships of
arbitrary three-dimensional
configuration . . . . . . . . . . . . . 391--436
Thomas Wolf An analytic algorithm for decoupling and
integrating systems of nonlinear partial
differential equations . . . . . . . . . 437--446
Ingemar Pe Kinnmark and
William G. Gray Stability and accuracy of spatial
approximations for wave equation tidal
models . . . . . . . . . . . . . . . . . 447--466
M. Salvetti and
R. Montagnani and
P. Riani and
O. Salvetti A numerical method for evaluating matrix
elements of Hermitian operators . . . . 467--477
Lalitha Jayaraman and
G. Ramanaiah Effect of couple stresses on transient
MHD Poiseuille flow . . . . . . . . . . 478--488
P. A. Smith and
P. K. Stansby Wave-induced bed flows by a Lagrangian
vortex scheme . . . . . . . . . . . . . 489--516
M. Deville and
E. Mund Chebyshev pseudospectral solution of
second-order elliptic equations with
finite element preconditioning . . . . . 517--533
Michael Davis and
Phiroze Kapadia and
John Dowden Solution of a Stefan problem in the
theory of laser welding by the method of
lines . . . . . . . . . . . . . . . . . 534--548
J. W. Eastwood and
K. I. Hopcraft Comments on the stability of the RSF
three-dimensional MHD plasma simulation
algorithm . . . . . . . . . . . . . . . 549--557
H. R. Hicks and
B. A. Carreras and
J. A. Holmes The reliability of calculations with the
RSF algorithm . . . . . . . . . . . . . 558--560
E. Buendía and
R. Guardiola The Numerov method and singular
potentials . . . . . . . . . . . . . . . 561--564
Anonymous List of forthcoming articles . . . . . . 565--565
Anonymous Author index for volume 60 . . . . . . . 566--566
Ahmed F. Ghoniem and
Frederick S. Sherman Grid-free simulation of diffusion using
random walk methods . . . . . . . . . . 1--37
Lilian L. Lo Asymptotic matching by the symbolic
manipulator MACSYMA . . . . . . . . . . 38--50
William S. Lawson A method for simulation of Vlasov
systems with discontinuous distribution
functions . . . . . . . . . . . . . . . 51--63
M. R. Malik and
T. A. Zang and
M. Y. Hussaini A spectral collocation method for the
Navier--Stokes equations . . . . . . . . 64--88
Gerald Guralnik and
Tony Warnock and
Charles Zemach Factorization, invariant measure, and
random selection of matrices in $ {\rm
SU}(n) $ and other groups . . . . . . . 89--104
Gerald Guralnik and
Tony Warnock and
Charles Zemach Random selection from trace-biased
invariant distributions of SU (3)
matrices . . . . . . . . . . . . . . . . 105--118
John K. Dukowicz A general, non-iterative Riemann solver
for Godunov's method . . . . . . . . . . 119--137
Francis Sullivan and
Raymond D. Mountain and
Julie O'Connell Molecular dynamics on vector computers 138--153
Zoran Miki\'c and
Edward C. Morse The use of a preconditioned bi-conjugate
gradient method for hybrid plasma
stability analysis . . . . . . . . . . . 154--185
R. D. Rajaona and
P. Sulmont A method of spectral analysis applied to
periodic and pseudoperiodic signals . . 186--193
Anonymous List of forthcoming articles . . . . . . 194--194
Johannes Grotendorst and
E. Otto Steinborn The Fourier transform of a two-center
product of exponential-type functions
and its efficient evaluation . . . . . . 195--217
S. C. R. Dennis and
L. Quartapelle Spectral algorithms for vector elliptic
equations in a spherical gap . . . . . . 218--241
M. Mullins and
M. A. Dokainish Comparison of solution schemes for
atomic simulation problems . . . . . . . 242--260
H. Takewaki and
A. Nishiguchi and
T. Yabe Cubic interpolated pseudo-particle
method (CIP) for solving hyperbolic-type
equations . . . . . . . . . . . . . . . 261--268
W. J. Goedheer and
J. H. H. M. Potters A compact finite difference scheme on a
non-equidistant mesh . . . . . . . . . . 269--279
Gilles Zerah An efficient Newton's method for the
numerical solution of fluid integral
equations . . . . . . . . . . . . . . . 280--285
D. E. Hastings and
T. Kamimura Calculation of the self-consistent
electric field in toroidal
nonaxisymmetric devices . . . . . . . . 286--296
Bengt Fornberg Steady viscous flow past a circular
cylinder up to Reynolds number $ 600 $ 297--320
C. A. Jones Numerical methods for the transition to
wavy Taylor vortices . . . . . . . . . . 321--344
Claude Greengard The core spreading vortex method
approximates the wrong equation . . . . 345--348
Anonymous List of forthcoming articles . . . . . . 349--349
Hafez Kobeissi On testing diatomic vibration-rotation
wavefunction for high levels . . . . . . 351--358
E. W. Larsen and
C. D. Levermore and
G. C. Pomraning and
J. G. Sanderson Discretization methods for
one-dimensional Fokker--Planck operators 359--390
William L. Dunn The back-projection angular flux
estimator . . . . . . . . . . . . . . . 391--402
Isaac Weiss Electromagnetic wave propagation in
relativistic magnetized plasmas . . . . 403--416
Christopher R. Anderson A vortex method for flows with slight
density variations . . . . . . . . . . . 417--444
Panagiotis Demetriou Sparis A method for generating
boundary-orthogonal curvilinear
coordinate systems using the biharmonic
equation . . . . . . . . . . . . . . . . 445--462
Guust Nolet Solving or resolving inadequate and
noisy tomographic systems . . . . . . . 463--482
Katherine A. Wilson and
Robert L. Coldwell A pairing method which improves
convergence in Monte--Carlo estimation
of quantum mechanical expectation values 483--498
Nobumasa Takemitsu Finite difference method to solve
incompressible fluid flow . . . . . . . 499--518
A. Nishiguchi and
S. Orii and
T. Yabe Vector calculation of particle code . . 519--522
Anonymous NBS parallel computer benchmark
collection . . . . . . . . . . . . . . . 523--523
Anonymous List of forthcoming articles . . . . . . 524--524
Anonymous Author index for volume 61 . . . . . . . 525--525
M. D. Smooke and
M. L. Koszykowski Two-dimensional fully adaptive solutions
of solid-solid alloying reactions . . . 1--25
J. Michael Coyle and
Joseph E. Flaherty and
Raymond Ludwig On the stability of mesh
equidistribution strategies for
time-dependent partial differential
equations . . . . . . . . . . . . . . . 26--39
R. I. Issa Solution of the implicitly discretised
fluid flow equations by
operator-splitting . . . . . . . . . . . 40--65
R. I. Issa and
A. D. Gosman and
A. P. Watkins The computation of compressible and
incompressible recirculating flows by a
non-iterative implicit scheme . . . . . 66--82
I.-L Chern and
J. Glimm and
O. Mcbryan and
B. Plohr and
S. Yaniv Front tracking for gas dynamics . . . . 83--110
Christopher R. Anderson A method of local corrections for
computing the velocity field due to a
distribution of vortex blobs . . . . . . 111--123
A. K. Wong and
J. A. Reizes The vector potential in the numerical
solution of three-dimensional fluid
dynamics problems in multiply connected
regions . . . . . . . . . . . . . . . . 124--142
Y. M. Chen and
G. Q. Xie An iterative method for simultaneous
determination of bulk and shear moduli
and density variations . . . . . . . . . 143--163
Robert A. Leacock and
Patrick W. O'Connor Action-variable theory and classical
frequencies . . . . . . . . . . . . . . 164--179
Guillermo Marshall and
Peter Eiseman and
John T. Kuo A general collapsing technique for
three-dimensional algebraic grid
generation . . . . . . . . . . . . . . . 180--198
Roland Keunings An algorithm for the simulation of
transient viscoelastic flows with free
surfaces . . . . . . . . . . . . . . . . 199--220
J. M. Floryan Conformal-mapping- based coordinate
generation method for flows in periodic
configurations . . . . . . . . . . . . . 221--247
Gunter H. Meyer Continuous orthonormalization for
boundary value problems . . . . . . . . 248--262
Anonymous List of forthcoming articles . . . . . . 263--263
P. A. Forsyth, Jr. and
P. H. Sammon Practical considerations for adaptive
implicit methods in reservoir simulation 265--281
Thierry Poinsot and
Sébastien M. Candel The influence of differencing and CFL
number on implicit time-dependent
non-linear calculations . . . . . . . . 282--296
M. G. Macaraeg A mixed pseudospectral/finite difference
method for the axisymmetric flow in a
heated, rotating spherical shell . . . . 297--320
K. A. Cliffs and
D. A. Lever A comparison of finite-element methods
for solving flow past a sphere . . . . . 321--330
D. F. Mayers and
D. M. Turner Relativistic inelastic scattering using
a logarithmic grid . . . . . . . . . . . 331--339
L. Quartapelle and
M. Napolitano Integral conditions for the pressure in
the computation of incompressible
viscous flows . . . . . . . . . . . . . 340--348
Mohan K. Kadalbajoo and
Y. N. Reddy The method of inner boundary condition:
A new approach for solving singular
perturbation problems . . . . . . . . . 349--360
Karol Z. Korczak and
Anthony T. Patera An isoparametric spectral element method
for solution of the Navier--Stokes
equations in complex geometry . . . . . 361--382
Ayse Alaylioglu and
D. Eyre and
M. Brannigan and
J. P. Svenne Spline-Galerkin solution of integral
equations for three-body scattering
above break-up . . . . . . . . . . . . . 383--399
Prabir K. Daripa and
Lawrence Sirovich Exact and approximate gas dynamics using
the tangent gas . . . . . . . . . . . . 400--413
Michael Loewenstein and
William G. Mathews Adiabatic particle hydrodynamics in
three dimensions . . . . . . . . . . . . 414--428
S. I. Cheng and
Yulin Lu An Eulerian method for transient
nonlinear free surface wave problems . . 429--440
Saul Goldman The convergence properties and
stochastic characteristics inherent in
force-biased and in Metropolis Monte
Carlo simulations on liquids . . . . . . 441--463
Shri Singh and
Saul Goldman Some practical considerations in the use
of Metropolis and force-biased Monte
Carlo simulations on liquids . . . . . . 464--471
Man Mohan Rai A conservative treatment of zonal
boundaries for Euler equation
calculations . . . . . . . . . . . . . . 472--503
Anonymous List of forthcoming articles . . . . . . 504--504
Anonymous Author index for volume 62 . . . . . . . 505--505
Jeffrey Saltzman Variational methods for generating
meshes on surfaces in three dimensions 1--19
J. H. Whealton and
R. W. McGaffey and
P. S. Meszaros A finite difference $3$-D
Poisson--Vlasov algorithm for ions
extracted from a plasma . . . . . . . . 20--32
M. Bieterman and
I. Babuska An adaptive method of lines with error
control for parabolic equations of the
reaction-diffusion type . . . . . . . . 33--66
R. Mejia CONKUB: A conversational path-follower
for systems of nonlinear equations . . . 67--84
H. Olivier and
H. Grönig The random choice method applied to
two-dimensional shock focusing and
diffraction . . . . . . . . . . . . . . 85--106
L. A. Charlton and
J. A. Holmes and
H. R. Hicks and
V. E. Lynch and
B. A. Carreras Numerical calculations using the full
MHD equations in toroidal geometry . . . 107--129
Jan Vrbik and
Stuart M. Rothstein Quadratic accuracy diffusion Monte Carlo 130--139
H. R. Hicks and
V. E. Lynch An introduction to programming
multiple-processor computers . . . . . . 140--156
Shigeru Obayashi and
Kunio Kuwahara An approximate LU factorization method
for the compressible Navier--Stokes
equations . . . . . . . . . . . . . . . 157--167
Andrew N. Hrymak and
Gregory J. McRae and
Arthur W. Westerberg An implementation of a moving finite
element method . . . . . . . . . . . . . 168--190
Shih-Hung Chang and
Gary M. Johnson An embedding method for the steady Euler
equations . . . . . . . . . . . . . . . 191--200
Kang Y. Huh and
Michael W. Golay and
Vincent P. Manno A method for reduction of numerical
diffusion in the donor cell treatment of
convection . . . . . . . . . . . . . . . 201--221
Kirk E. Jordan and
Gerard R. Richter and
Ping Sheng An efficient numerical evaluation of the
Green's function for the Helmholtz
operator on periodic structures . . . . 222--235
Andrzej B. Jarz\kebski and
Jan W. Thullie A stable highly accurate ADI method for
hyperbolic heat conduction equation . . 236--239
Magdi M. Shoucri Numerical solution of the shallow water
equations . . . . . . . . . . . . . . . 240--245
Anonymous List of forthcoming articles . . . . . . 246--246
Hirotade Abe and
Natsuhiko Sakairi and
Ryohei Itatani and
Hideo Okuda High-order spline interpolations in the
particle simulation . . . . . . . . . . 247--267
R. Vichnevetsky Invariance theorems concerning
reflection at numerical boundaries . . . 268--282
Bruce A. Fryxell and
Paul R. Woodward and
Phillip Colella and
Karl-Heinz Winkler An implicit-explicit hybrid method for
Lagrangian hydrodynamics . . . . . . . . 283--310
Prabir K. Daripa and
Lawrence Sirovich An inverse method for subcritical flows 311--328
S. P. Hirshman and
J. T. Hogan ORMEC: A three-dimensional MHD spectral
inverse equilibrium code . . . . . . . . 329--352
A. Birnboim Simultaneous solution of temperatures in
plasmas with rapid equipartition rates 353--362
R. Kosloff and
D. Kosloff Absorbing boundaries for wave
propagation problems . . . . . . . . . . 363--376
Jaime Guerra and
Bertil Gustafsson A numerical method for incompressible
and compressible flow problems with
smooth solutions . . . . . . . . . . . . 377--397
Glenn Joyce and
Martin Lampe SIMM1: A linearized particle code . . . 398--415
G. Vijayasundaram Transonic flow simulations using an
upstream centered scheme of Godunov in
finite elements . . . . . . . . . . . . 416--433
Jon M. Wallace and
Jeremiah U. Brackbill and
David W. Forslund An implicit moment electromagnetic
plasma simulation in cylindrical
coordinates . . . . . . . . . . . . . . 434--457
Philip L. Roe Discrete models for the numerical
analysis of time-dependent
multidimensional gas dynamics . . . . . 458--476
H. Yoshida and
H. Ninomiya and
M. Azumi and
S. Seki Numerical method for tokamak equilibrium
with outside limiter . . . . . . . . . . 477--485
Anonymous List of forthcoming articles . . . . . . 486--486
Anonymous Author index for volume 63 . . . . . . . 487--487
Dimitri Mihalas and
Paul B. Kunasz The computation of radiation transport
using Feautrier variables. II. Spectrum
line formation in moving media . . . . . 1--26
Yakir Reuven and
Mitchell D. Smooke and
Herschel Rabitz Sensitivity analysis of boundary value
problems: application to nonlinear
reaction-diffusion systems . . . . . . . 27--55
C. I. Goldstein Finite element methods applied to nearly
one-way wave propagation . . . . . . . . 56--81
Z. U. A. Warsi Numerical grid generation in arbitrary
surfaces through a second-order
differential-geometric model . . . . . . 82--96
A. Greenbaum and
J. M. Ferguson A Petrov--Galerkin finite element method
for solving the neutron transport
equation . . . . . . . . . . . . . . . . 97--111
G. R. Baker and
M. J. Shelley Boundary integral techniques for
multi-connected domains . . . . . . . . 112--132
A. D. Kennedy and
J. Kuti and
S. Meyer and
B. J. Pendleton Program for efficient Monte Carlo
computations of quenched $ {\rm SU}(3) $
lattice gauge theory using the
Quasi-heatbath method on a CDC CYBER 205
computer . . . . . . . . . . . . . . . . 133--160
Glenn Bateman and
Robin G. Storer Direct determination of axisymmetric
magnetohydrodynamic equilibria in Hamada
coordinates . . . . . . . . . . . . . . 161--176
Ronald M. Yorston Free-flight time generation in the Monte
Carlo simulation of carrier transport in
semiconductors . . . . . . . . . . . . . 177--194
M. E. Alexander Simulation of binary-single star and
binary-binary scattering . . . . . . . . 195--219
Richard A. Friesner and
Robert E. Wyatt and
C. Hempel and
B. Criner A generalized version of the recursive
residue generation method for vector
computers . . . . . . . . . . . . . . . 220--229
W. Tobocman Iterative inverse scattering method
employing Gram--Schmidt
orthogonalization . . . . . . . . . . . 230--245
A. Ecker and
D. H. E. Gross A system of simultaneous non-linear
equations in three-thousand variables 246--252
Robert Piessens and
Shafique Ahmed Approximation for the turning points of
Bessel functions . . . . . . . . . . . . 253--257
J. S. Bramley The calculation of eigenvalues for the
stationary perturbation of symmetrical
pipe Poiseuille flow . . . . . . . . . . 258--265
John P. Boyd Polynomial series versus sinc expansions
for functions with corner or endpoint
singularities . . . . . . . . . . . . . 266--270
William Celmaster and
K. J. M. Moriarty A method for vectorized random number
generators . . . . . . . . . . . . . . . 271--275
Anonymous Announcement . . . . . . . . . . . . . . 276--276
Anonymous List of forthcoming articles . . . . . . 277--277
K. Gustafson and
K. Halasi Vortex dynamics of cavity flows . . . . 279--319
W. M. Pickering On the solution of Poisson's equation on
a regular hexagonal grid using FFT
methods . . . . . . . . . . . . . . . . 320--333
M. G. G. Foreman An accuracy analysis of boundary
conditions for the forced shallow water
equations . . . . . . . . . . . . . . . 334--367
O. R. Tutty On vector potential-vorticity methods
for incompressible flow problems . . . . 368--379
F. Hayot and
H. J. Herrmann and
J.-M Normand and
P. Farthouat and
M. Mur A special purpose computer for the
electrical conductivity of disordered
media . . . . . . . . . . . . . . . . . 380--388
M. Pouagare and
B. Lakshminarayana A space-marching method for viscous
incompressible internal flows . . . . . 389--415
M. F. Reusch and
G. H. Neilson Toroidally symmetric polynomial
multipole solutions of the vector
Laplace equation . . . . . . . . . . . . 416--432
Chr Kaas-Petersen Computation of quasi-periodic solutions
of forced dissipative systems II . . . . 433--442
William F. Moss Collocation for an integral equation
arising in duct acoustics . . . . . . . 443--458
Timothy N. Phillips On the numerical treatment of boundary
singularities in elliptic problems . . . 459--472
Eugene C. Gartland, Jr. High order finite-difference methods for
two-point boundary value problems with
singular sources . . . . . . . . . . . . 473--489
I. J. Thompson and
A. R. Barnett Coulomb and Bessel functions of complex
arguments and order . . . . . . . . . . 490--509
P. P. Delsanto and
J. D. Alemar Use of Monte Carlo techniques for
complex angular momentum algebra
Calculations . . . . . . . . . . . . . . 510--514
Anonymous List of forthcoming articles . . . . . . 515--515
Anonymous Author index for volume 64 . . . . . . . 516--516
V. S. Melezhik Continuous analog of Newton method in
the multichannel scattering problem . . 1--17
A. C. Calder and
J. G. Laframboise Multiple-water-bag simulation of
inhomogeneous plasma motion near an
electrode . . . . . . . . . . . . . . . 18--45
Hamid Jafroudi and
H. T. Yang Steady laminar forced convection from a
circular cylinder . . . . . . . . . . . 46--56
Douglas S. Harned and
D. D. Schnack Semi-implicit method for long time scale
magnetohydrodynamic computations in
three dimensions . . . . . . . . . . . . 57--70
John B. Bell and
Gregory R. Shubin and
John A. Trangenstein A method for reducing numerical
dispersion in two-phase black-oil
reservoir simulation . . . . . . . . . . 71--106
Thomas J. Bridges and
Leonid N. Vaserstfin The local evaluation of the derivative
of a determinant . . . . . . . . . . . . 107--119
Ma He-Ping and
Guo Ben-Yu The Fourier pseudospectral method with a
restrain operator for the Korteweg--de
Vries equation . . . . . . . . . . . . . 120--137
S. P. Vanka Block-implicit multigrid solution of
Navier--Stokes equations in primitive
variables . . . . . . . . . . . . . . . 138--158
Petri Pajunen and
Juha Tienari Efficient computation of the Prüfer phase
function for determining eigenvalues of
Sturm--Liouville systems . . . . . . . . 159--169
Matania Ben-artzi and
Amnon Birman Application of the ``Generalized Riemann
Problem'' method to $1$-D compressible
flows with material interfaces . . . . . 170--178
Hideaki Miyata Finite-difference simulation of breaking
waves . . . . . . . . . . . . . . . . . 179--214
S. Y. Kim and
H. Okuda Guiding center magnetostatic particle
simulation model in three dimensions . . 215--226
Toru Fusegi and
Bakhtier Farouk Predictions of fluid flow and heat
transfer problems by the
vorticity-velocity formulation of the
Navier--Stokes equations . . . . . . . . 227--243
George Witmer and
Vemuri Balakotaiah and
Dan Luss Finding singular points of two-point
boundary value problems . . . . . . . . 244--250
Anonymous List of forthcoming articles . . . . . . 251--251
L. Garcia and
H. R. Hicks and
B. A. Carreras and
L. A. Charlton and
J. A. Holmes $3$D nonlinear MHD calculations using
implicit and explicit time integration
schemes . . . . . . . . . . . . . . . . 253--272
C. Le Provost and
P. Vincent Some tests of precision for a finite
element model of ocean tides . . . . . . 273--291
Robert Krasny Desingularization of periodic vortex
sheet roll-up . . . . . . . . . . . . . 292--313
J. U. Brackbill and
H. M. Ruppel FLIP: A method for adaptively zoned,
particle-in-cell calculations of fluid
flows in two dimensions . . . . . . . . 314--343
Sebastien M. Candel and
Eric Boussarie and
Jean-Marc Loesch and
Annie Lelarge A dual algorithm for fast calculation of
the $ H_0^1 $-transform . . . . . . . . 344--369
John Steinhoff Blending method for grid generation . . 370--385
D. Vandromme and
H. Ha Minh About the coupling of turbulence closure
models with averaged Navier--Stokes
equations . . . . . . . . . . . . . . . 386--409
C. L. Scandrett and
G. A. Kriegsmann and
J. D. Achenbach Scattering of a pulse by a cavity in an
elastic half-space . . . . . . . . . . . 410--431
M. C. Martinez and
V. Muñoz and
V. Such A numerical solution for the nonlinear
diffusion equation of the
electromagnetic field in ferromagnetic
materials . . . . . . . . . . . . . . . 432--447
Roland Hunt The numerical solution of elliptic free
boundary problems using multigrid
techniques . . . . . . . . . . . . . . . 448--461
Katsuhiro Sakai and
Tamotsu Sekiya A fast computing technique for
diffusion-type equations . . . . . . . . 462--473
Anthony T. Patera Fast direct Poisson solvers for
high-order finite element
discretizations in rectangularly
decomposable domains . . . . . . . . . . 474--480
Andrew D. Booth and
Ian J. M. Booth An interesting set of simultaneous,
nonlinear equations . . . . . . . . . . 481--485
John W. Sheldon Application of a semi-implicit finite
difference scheme to heat generation in
explosives . . . . . . . . . . . . . . . 486--490
Anonymous List of forthcoming articles . . . . . . 491--491
Anonymous Author index for volume 65 . . . . . . . 492--492
Jay Boris A Vectorized `Near Neighbors' Algorithm
of Order $N$ using a Monotonic Logical
Grid . . . . . . . . . . . . . . . . . . 1--20
J. R. Brannan and
G. P. Forney and
R. F. Henrick High-frequency numerical-analytic
approximations for the separable
acoustic wave equation . . . . . . . . . 21--35
B. Davies Locating the zeros of an analytic
function . . . . . . . . . . . . . . . . 36--49
F. Mattioli An improvement of the finite-element
series-expansion technique for linear
water waves . . . . . . . . . . . . . . 50--61
John A. Trapp and
Richard A. Riemke A nearly-implicit hydrodynamic numerical
scheme for two-phase flows . . . . . . . 62--82
Peter Merkel An integral equation technique for the
exterior and interior Neumann problem in
toroidal regions . . . . . . . . . . . . 83--98
Man Mohan Rai A relaxation approach to patched-grid
calculations with the Euler equations 99--131
S. Yakowitz and
K. Hutter and
F. Szidarovszky Elements of a computational theory for
glaciers . . . . . . . . . . . . . . . . 132--150
M. Maurer and
A. Hayd and
H. J. Kaeppeler Quasi-Analytical Method for Solving
Nonlinear Differential Equations for
Turbulent Self-Confined Magneto-Plasma 151--172
David Degani and
Lewis B. Schifft Computation of turbulent supersonic
flows around pointed bodies having
crossflow separation . . . . . . . . . . 173--196
Y. Matsuda and
J. J. Stewart A relativistic multiregion
bounce-averaged Fokker--Planck code for
mirror plasmas . . . . . . . . . . . . . 197--217
Edward J. Shipsey Numerical method for unitary systems . . 218--224
F. Vadillo and
J. M. Sanz-Serna Studies in numerical nonlinear
instability. II. A new look at $ u_t + u
u_x = 0 $ . . . . . . . . . . . . . . . 225--238
C. W. Cranfill and
J. U. Brackbill and
S. R. Goldman A time-implicit Monte Carlo collision
algorithm for particle-in-cell electron
transport models . . . . . . . . . . . . 239--249
Anonymous List of forthcoming articles . . . . . . 250--250
John L. Johnson and
Robert L. Dewar and
John Killeen In memoriam: Raymond C. Grimm
(1944--1984) . . . . . . . . . . . . . . 251--254
F. Wysocki and
R. C. Grimm A new method for computing normal modes
in axisymmetric toroidal geometry using
a scalar form of ideal MHD . . . . . . . 255--273
R. J. Hosking and
J. Tendys Computation of visco-resistive MHD
instabilities . . . . . . . . . . . . . 274--293
R. G. Storer Numerical studies of toroidal resistive
magnetohydrodynamic instabilities . . . 294--323
J. Manickam Accessibility of second regions of
stability in tokamaks . . . . . . . . . 324--331
W. Kerner and
A. Jakoby and
K. Lerbinger Finite-element semi-discretization of
linearized compressible and resistive
MHD . . . . . . . . . . . . . . . . . . 332--355
A. D. Miller and
R. L. Dewar Galerkin method for differential
equations with regular singular points 356--390
A. D. Turnbull and
M. A. Secrétan and
F. Troyon and
S. Semenzato and
R. Gruber $ \beta $ Limits in $H$-mode-like
discharges . . . . . . . . . . . . . . . 391--410
V. E. Lynch and
B. A. Carreras and
L. A. Charlton and
L. Garcia and
T. C. Hender and
H. R. Hicks and
J. A. Holmes Stellarator expansion methods for MHD
equilibrium and stability Calculations 411--444
F. Herrnegger and
P. Merkel and
J. L. Johnson Comparison of two-dimensional and
three-dimensional MHD equilibrium and
stability codes . . . . . . . . . . . . 445--457
F. J. Helton and
J. M. Greene Ideal MHD properties for proposed
noncircular tokamaks . . . . . . . . . . 458--468
Andrew L. Zachary and
Bruce I. Cohen An orbit-averaged Darwin quasi-neutral
hybrid code . . . . . . . . . . . . . . 469--480
S. C. Jardin and
N. Pomphrey and
J. Delucia Dynamic modeling of transport and
positional control of tokamaks . . . . . 481--507
Anonymous Announcement . . . . . . . . . . . . . . 508--508
Anonymous List of forthcoming articles . . . . . . 509--509
Anonymous Author index for volume 66 . . . . . . . 510--510
Saul S. Abarbanel and
Douglas L. Dwoyer and
David Gottlieb Improving the convergence rate to steady
state of parabolic ADI methods . . . . . 1--18
R. A. Howland and
D. L. Richardson Computer implementation of an algorithm
for the quadratic analytical solution of
Hamiltonian systems . . . . . . . . . . 19--27
Hong-Qiang Ding An improved heat bath method for
vectorized processing . . . . . . . . . 28--36
Srinivas Betté and
Julio C. Diaz and
William R. Jines and
Trond Steihaug A block preconditioned conjugate
gradient-type iterative solver for
linear systems in thermal reservoir
simulation . . . . . . . . . . . . . . . 37--58
E. D. Brooks III and
J. A. Fleck, Jr. An implicit Monte Carlo scheme for
calculating time-dependent line
transport . . . . . . . . . . . . . . . 59--72
A. S. Dvinsky and
A. S. Popel Numerical solution of two-dimensional
Stokes equations for flow with particles
in a channel of arbitrary shape using
boundary-conforming coordinates . . . . 73--90
Sin-Chung Chang Solution of elliptic PDEs by fast
Poisson solvers using a local relaxation
factor . . . . . . . . . . . . . . . . . 91--123
David C. Arney and
Joseph E. Flaherty A two-dimensional mesh moving technique
for time-dependent partial differential
equations . . . . . . . . . . . . . . . 124--144
Hillel Tal-Ezer A pseudospectral Legendre method for
hyperbolic equations with an improved
stability condition . . . . . . . . . . 145--172
Yasunari Takano An application of the random choice
method to reactive gas with many
chemical species . . . . . . . . . . . . 173--187
L. Demkowicz and
J. T. Oden An adaptive characteristic
Petrov--Galerkin finite element method
for convection-dominated linear and
nonlinear parabolic problems in one
space variable . . . . . . . . . . . . . 188--213
John D. Ramshaw Simplified second-order rezoning
algorithm for generalized
two-dimensional meshes . . . . . . . . . 214--222
N. N. Medvedev The algorithm for three-dimensional
Voronoi polyhedra . . . . . . . . . . . 223--229
Roger C. E. Tan Accelerating the convergence of an
iterative method for derivatives of
eigensystems . . . . . . . . . . . . . . 230--235
Anonymous List of forthcoming articles . . . . . . 236--236
Anonymous Announcements . . . . . . . . . . . . . 237--238
J. P. Leroy and
R. Wallace Extension of the renormalized Numerov
method for second-order differential
eigenvalue equations . . . . . . . . . . 239--252
D. D. Koelling and
J. H. Wood On the interpolation of eigenvalues and
a resultant integration scheme . . . . . 253--262
Kazuyoshi Miki and
Toshiyuki Takagi Numerical solution of Poisson's equation
with arbitrarily shaped boundaries using
a domain decomposition and overlapping
technique . . . . . . . . . . . . . . . 263--278
E. E. Kunhardt and
Y. Tzeng Monte Carlo technique for simulating the
evolution of an assembly of particles
increasing in number . . . . . . . . . . 279--289
F. Biegler-König and
Juergen Hinze Nonrelativistic numerical MCSCF for
atoms . . . . . . . . . . . . . . . . . 290--309
K. A. Cliffe and
K. H. Winters The use of symmetry in bifurcation
calculations and its application to the
Bénard problem . . . . . . . . . . . . . 310--326
T. W. Shield and
D. B. Bogy and
F. E. Talke A numerical comparison of
one-dimensional fluid jet models applied
to drop-on-demand printing . . . . . . . 327--347
J. M. Sanz-Serna and
I. Christie A simple adaptive technique for
nonlinear wave problems . . . . . . . . 348--360
Dimitri Hatziavramidis and
Hwar-Ching Ku A pseudospectral method for the solution
of the two-dimensional Navier--Stokes
equations in the primitive variable
formulation . . . . . . . . . . . . . . 361--371
D. M. Sloan and
A. R. Mitchell On nonlinear instabilities in leap-frog
finite difference schemes . . . . . . . 372--395
Piotr K. Smolarkiewicz and
Terry L. Clark The multidimensional positive definite
advection transport algorithm: Further
development and applications . . . . . . 396--438
N. J. Norton and
J. C. McWilliams and
P. R. Gent A numerical model of the balance
equations in a periodic domain and an
example of balanced turbulence . . . . . 439--471
C. H. Cooke On operator splitting for unsteady
boundary value problems . . . . . . . . 472--478
K. Mcisaac and
J. E. Gottschalk and
E. N. Maslen Closed form expressions for an integral
involving the Coulomb potential . . . . 479--481
John M. Hosack The use of \vCeby\vsev mixing to
generate pseudo-random numbers . . . . . 482--486
Anonymous Announcement . . . . . . . . . . . . . . 487--487
Anonymous List of forthcoming articles . . . . . . 488--488
Anonymous Author index for volume 67 . . . . . . . 489--489
Kevin W. Thompson Time dependent boundary conditions for
hyperbolic systems . . . . . . . . . . . 1--24
W. D. Henshaw A scheme for the numerical solution of
hyperbolic systems of conservation laws 25--47
Barry Marder A method for incorporating Gauss' law
into electromagnetic PIC codes . . . . . 48--55
Eric J. Horowitz Vectorizing the interpolation routines
of particle-in-cell codes . . . . . . . 56--65
P. K. Sarkar and
M. A. Prasad A comparative study of pseudo and quasi
random sequences for the solution of
integral equations . . . . . . . . . . . 66--88
Dipak H. Oza and
Joseph Callaway Numerical solution of the Schrödinger
equation with a non-local exchange
kernel . . . . . . . . . . . . . . . . . 89--103
G. H. Rawitscher and
E. S. Hirschorn Accurate evaluation of an integral
involving the product of two Bessel
functions and a Gaussian . . . . . . . . 104--126
E. E. Kunhardt and
C. Wu Towards a more accurate flux corrected
transport algorithm . . . . . . . . . . 127--150
H. C. Yee Construction of explicit and implicit
symmetric TVD schemes and their
applications . . . . . . . . . . . . . . 151--179
M. Friedman and
A. Rabinovitch Improved regula falsi method for solving
the Schrödinger equation with a piecewise
constant potential . . . . . . . . . . . 180--187
E. Buendía and
R. Guardiola and
M. M. Montoya Integral equations: A tool to solve the
Schrödinger equation . . . . . . . . . . 188--201
Alexander J. Klimas A method for overcoming the velocity
space filamentation problem in
collisionless plasma model solutions . . 202--226
I. M. Barbour and
N.-E Behilil and
P. E. Gibbs and
M. Rafiq and
K. J. M. Moriarty and
G. Schierholz Updating fermions with the Lanczos
method . . . . . . . . . . . . . . . . . 227--236
Mihaly Mezei Adaptive umbrella sampling:
Self-consistent determination of the
non-Boltzmann bias . . . . . . . . . . . 237--248
Anonymous List of forthcoming articles . . . . . . 249--249
Han Min and
Yih Nen Jeng The weak nonlinear instability of Euler
explicit scheme for the convective
equation . . . . . . . . . . . . . . . . 251--261
John R. Bennett and
Joan E. Campbell Accuracy of a finite-difference method
for computing lake currents . . . . . . 262--271
John R. Bennett and
Anne Hutchinson Clites Accuracy of trajectory calculation in a
finite-difference circulation model . . 272--282
Paolo Luchini An adaptive-mesh finite-difference
solution method for the Navier--Stokes
equations . . . . . . . . . . . . . . . 283--306
Nico Booij and
Leo H. Holthuijsen Propagation of ocean waves in discrete
spectral wave models . . . . . . . . . . 307--326
V. Giovangigli and
M. D. Smooke Calculation of extinction limits for
premixed laminar flames in a stagnation
point flow . . . . . . . . . . . . . . . 327--345
Ahmed F. Ghoniem and
Yves Cagnon Vortex simulation of laminar
recirculating flow . . . . . . . . . . . 346--377
Jefferson Fong and
Lawrence Sirovich Supersonic inviscid flow- a
three-dimensional characteristics
approach . . . . . . . . . . . . . . . . 378--392
Felicja Mrugala Hybrid approximate solution--Approximate
potential approach to the solution of
coupled equations for atom--molecule
reactive scattering . . . . . . . . . . 393--419
J. P. Kreskovsky and
H. L. Grubin Application of LBI techniques to the
solution of the transient,
multidimensional semiconductor equations 420--461
Norman L. Whitley Potential flow past a sinusoidal wall by
direct variation . . . . . . . . . . . . 462--473
H. Kapitza and
D. Eppel A $3$-D Poisson solver based on
conjugate gradients compared to standard
iterative methods and its performance on
vector computers . . . . . . . . . . . . 474--484
J. D. Sherwood Unstable fronts in a porous medium . . . 485--500
L. S. Peranich A finite difference scheme for solving a
non-linear Schrödinger equation with a
linear damping term . . . . . . . . . . 501--505
Anonymous List of forthcoming articles . . . . . . 506--506
Anonymous Author index for volume 68 . . . . . . . 507--507
Joel H. Ferziger Simulation of incompressible turbulent
flows . . . . . . . . . . . . . . . . . 1--48
Satoru Ogawa and
Tomiko Ishiguro A method for computing flow fields
around moving bodies . . . . . . . . . . 49--68
Thomas M. Hagstrom Boundary conditions at outflow for a
problem with transport and diffusion . . 69--80
John M. Sullivan, Jr. and
Daniel R. Lynch and
Kevin O'Neill Finite element simulation of planar
instabilities during solidification of
an undercooled melt . . . . . . . . . . 81--111
John P. Boyd Spectral methods using rational basis
functions on an infinite interval . . . 112--142
A. Navarra An application of the Arnoldi's method
to a geophysical fluid dynamics problem 143--162
Yu. A. Berezin and
V. N. Khudick and
M. S. Pekker Conservative finite-difference schemes
for the Fokker--Planck equation not
violating the law of an increasing
entropy . . . . . . . . . . . . . . . . 163--174
E. A. Dorfi and
L. O'C. Drury Simple adaptive grids for $1$D initial
value problems . . . . . . . . . . . . . 175--195
G. N. Afanasiev Closed analytical expressions for some
useful sums and integrals involving
Legendre functions . . . . . . . . . . . 196--208
Norman Eggert and
Mary Jarratt and
John Lund Sinc function computation of the
eigenvalues of Sturm--Liouville problems 209--229
J. H. Bolstad and
H. B. Keller Computation of anomalous modes in the
Taylor experiment . . . . . . . . . . . 230--251
J. D. Pryce Error estimation for a class of
differential eigenproblems . . . . . . . 252--257
J. Steppeler Energy conserving Galerkin finite
element schemes for the primitive
equations of numerical weather
prediction . . . . . . . . . . . . . . . 258--264
Anonymous Announcement . . . . . . . . . . . . . . 265--265
Anonymous List of forthcoming articles . . . . . . 266--266
H. Ralph Lewis and
Daniel C. Barnes and
Karl J. Melendez The Liouville theorem and accurate
plasma simulation . . . . . . . . . . . 267--282
Edward W. Larsen and
J. E. Morel and
Warren F. Miller, Jr. Asymptotic solutions of numerical
transport problems in optically thick,
diffusive regimes . . . . . . . . . . . 283--324
G. Delic and
E. J. Janse Van Rensburg and
G. Welke A non-self-adjoint general matrix
eigenvalue problem . . . . . . . . . . . 325--340
Ernest J. Valeo and
David C. Eder Numerical modeling of lower hybrid
heating and current drive . . . . . . . 341--361
Nobuhiro Baba and
Hideaki Miyata Higher-order accurate difference
solutions of vortex generation from a
circular cylinder in an oscillatory flow 362--396
Tai-Yong Lee and
John H. Seinfeld Estimation of two-phase petroleum
reservoir properties by regularization 397--419
Gilles Labontf On the solution of matrix equations,
example: Application to invariant
equations . . . . . . . . . . . . . . . 420--433
Andreas Karageorghis and
Graeme Fairweather The method of fundamental solutions for
the numerical solution of the biharmonic
equation . . . . . . . . . . . . . . . . 434--459
Ole H. Hald Approximation of Wiener integrals . . . 460--470
Roger Grimes and
Henry Krakauer and
John Lewis and
Horst Simon and
Su-Hai Wei The solution of large dense generalized
eigenvalue problems on the Cray X-MP/24
with SSD . . . . . . . . . . . . . . . . 471--481
P. J. Scanlon An alternative form for the Legendre
polynomial expansion coefficients . . . 482--486
Anonymous List of forthcoming articles . . . . . . 487--487
Anonymous Author index for volume 69 . . . . . . . 488--488
George D. Byrne and
Alan C. Hindmarsh Stiff ODE Solvers: A Review of Current
and Coming Attractions . . . . . . . . . 1--62
John P. Boyd Orthogonal rational functions on a
semi-infinite interval . . . . . . . . . 63--88
A. Mankofsky and
R. N. Sudan and
J. Denavit Hybrid simulation of ion beams in
background plasma . . . . . . . . . . . 89--116
W. N. Polyzou Nonperturbative method for treating
square root operators in relativistic
quantum theories . . . . . . . . . . . . 117--137
C. M. M. Nex A new splitting to solve a large
Hermitian eigenproblem . . . . . . . . . 138--144
J. Giorla and
R. Sentis A random walk method for solving
radiative transfer equations . . . . . . 145--165
Dennis W. Hewett and
John K. Boyd Streamlined Darwin simulation of
nonneutral plasmas . . . . . . . . . . . 166--181
S. Abdallah Numerical solutions for the pressure
Poisson equation with Neumann boundary
conditions using a non-staggered grid, I 182--192
S. Abdallah Numerical solutions for the
incompressible Navier--Stokes equations
in primitive variables using a
non-staggered grid, II . . . . . . . . . 193--202
Milan Kubícek and
Martin Holodniok Algorithms for determination of
period-doubling bifurcation points in
ordinary differential equations . . . . 203--217
K. P. Lawley An efficient algorithm for solving the
vibronic coupling problem . . . . . . . 218--231
W. Y. Soh Time-marching solution of incompressible
Navier--Stokes equations for internal
flow . . . . . . . . . . . . . . . . . . 232--252
P. V. Madhavan and
J. L. Written Molecular symmetry in Ab initio
calculations . . . . . . . . . . . . . . 253--261
Ronald C. Dykhuizen Stability of finite difference
representations of partial differential
equations --- a two-step process . . . . 262--268
Anonymous List of forthcoming articles . . . . . . 269--269
K. Gustafson and
K. Halasi Cavity flow dynamics at higher Reynolds
number and higher aspect ratio . . . . . 271--283
M. Friedman and
A. Rabinovitch and
Y. Rosenfeld and
R. Thieberger Thomas--Fermi equation with
non-spherical boundary conditions . . . 284--294
A. Fortin and
M. Fortin and
J. J. Gervais A numerical simulation of the transition
to turbulence in a two-dimensional flow 295--310
Bradley A. Clark Computing multigroup radiation integrals
using polylogarithm-based methods . . . 311--329
D. D. Schnack and
D. C. Barnes and
Z. Mikic and
Douglas S. Harned and
E. J. Caramana Semi-implicit magnetohydrodynamic
calculations . . . . . . . . . . . . . . 330--354
Hideaki Takewaki and
Takashi Yabe The cubic-interpolated pseudo particle
(CIP) method: application to nonlinear
and multi-dimensional hyperbolic
equations . . . . . . . . . . . . . . . 355--372
A. A. Rangwalla and
B. R. Munson Numerical solution for viscous flow for
two-dimensional domains using orthogonal
coordinate systems . . . . . . . . . . . 373--396
Christoph Börgers and
Charles S. Peskin A Lagrangian fractional step method for
the incompressible Navier--Stokes
equations on a periodic domain . . . . . 397--438
Hwar C. Ku and
Richard S. Hirsh and
Thomas D. Taylor A pseudospectral method for solution of
the three-dimensional incompressible
Navier--Stokes equations . . . . . . . . 439--462
J. Donea and
L. Quartapelle and
V. Selmin An analysis of time discretization in
the finite element solution of
hyperbolic problems . . . . . . . . . . 463--499
C. B. Chalmers and
R. D. Kenway and
D. Roweth Algorithms for calculating quark
propagators on large lattices . . . . . 500--520
Abdelfattah Zebib Removal of spurious modes encountered in
solving stability problems by spectral
methods . . . . . . . . . . . . . . . . 521--525
Anonymous Announcement . . . . . . . . . . . . . . 526--526
Anonymous List of forthcoming articles . . . . . . 527--527
Anonymous Author index for volume 70 . . . . . . . 528--528
G. Patnaik and
R. H. Guirguis and
J. P. Boris and
E. S. Oran A barely implicit correction for
flux-corrected transport . . . . . . . . 1--20
Wolfgang Wagner Unbiased Monte Carlo evaluation of
certain functional integrals . . . . . . 21--33
J. Pakleza and
D. Gentile Phase-change simulation in a propagative
medium subject to a heat flux
disturbance . . . . . . . . . . . . . . 34--49
Edward W. Larsen and
Bertrand Mercer Analysis of a Monte Carlo method for
nonlinear radiative transfer . . . . . . 50--64
V. A. Patel Symmetry of the flow around a circular
cylinder . . . . . . . . . . . . . . . . 65--99
Claudio Canuto and
Alfio Quarteroni On the boundary treatment in spectral
methods for hyperbolic systems . . . . . 100--110
Jussi Luppi An optimized quadrature scheme for
evaluating general higher-order phase
integrals . . . . . . . . . . . . . . . 111--123
C. Z. Cheng and
M. S. Chance NOVA: A nonvariational code for solving
the MHD stability of axisymmetric
toroidal plasmas . . . . . . . . . . . . 124--146
A. Bayliss and
B. J. Matkowsky Fronts, relaxation oscillations, and
period doubling in solid fuel combustion 147--168
W. Schneider and
Glenn Bateman Mapping from rectangular to harmonic
representation . . . . . . . . . . . . . 169--180
Alain Rigal SOR methods for coupled elliptic partial
differential equations . . . . . . . . . 181--193
J. Pike Grid adaptive algorithms for the
solution of the Euler equations on
irregular grids . . . . . . . . . . . . 194--223
J. D. Ramshaw and
A. A. Amsden Inclusion of temperature variations in a
numerical scheme for partial equilibrium
flow . . . . . . . . . . . . . . . . . . 224--227
Anonymous Call for papers first national fluid
dynamics congress . . . . . . . . . . . 228--229
Anonymous List of forthcoming articles . . . . . . 230--230
Ami Harten and
Bjorn Engquist and
Stanley Osher and
Sukumar R. Chakravarthy Uniformly high order accurate
essentially non-oscillatory schemes, III 231--303
Donald F. St Mary and
Ding Lee and
George Botseas A modified wide angle parabolic wave
equation . . . . . . . . . . . . . . . . 304--315
M. S. Milgram and
H. C. Lee Tables of divergent Feynman integrals.
II. Light-cone gauge with the
Mandelstam--Leibbrandt prescription . . 316--323
F. Shokoohi and
H. G. Elrod Numerical investigation of the
disintegration of liquid jets . . . . . 324--342
Kiyosi Horiuti Comparison of conservative and
rotational forms in large eddy
simulation of turbulent channel flow . . 343--370
Mohammad Z. Hasan and
Robert W. Conn A two-dimensional finite element
multigroup diffusion theory for neutral
atom transport in plasmas . . . . . . . 371--390
A. Compagner and
A. Hoogland Maximum-length sequences, cellular
automata, and random numbers . . . . . . 391--428
Rodney J. Mason An electromagnetic field algorithm for
$2$D implicit plasma simulation . . . . 429--473
Anonymous List of forthcoming articles . . . . . . 474--474
Anonymous Author index for volume 71 . . . . . . . 475--475
Arthur Rizzi and
Björn Engquist Selected topics in the theory and
practice of computational fluid dynamics 1--69
A. E. Thorlacius and
E. D. Cooper An algorithm for integrating the
Schrödinger equation . . . . . . . . . . 70--77
W. F. Noh Errors for calculations of strong shocks
using an artificial viscosity and an
artificial heat flux . . . . . . . . . . 78--120
Dennis W. Hewett and
A. Bruce Langdon Electromagnetic direct implicit plasma
simulation . . . . . . . . . . . . . . . 121--155
D. J. Adams and
G. S. Dubey Taming the Ewald sum in the computer
simulation of charged systems . . . . . 156--176
B. R. Wienke and
T. R. Hill and
P. P. Whalen Multigroup particle transport in a
moving material . . . . . . . . . . . . 177--201
Roger Barlow Event classification using weighting
methods . . . . . . . . . . . . . . . . 202--219
C. D. Beidler and
W. N. G. Hitchon and
J. L. Shohet ''Hybrid'' Monte Carlo simulation of
ripple transport in stellarators . . . . 220--242
W. W. Lee Gyrokinetic particle simulation model 243--269
L. Gr Ixaru The Numerov method and singular
potentials . . . . . . . . . . . . . . . 270--274
Anonymous Announcement . . . . . . . . . . . . . . 275--275
Anonymous List of forthcoming articles . . . . . . 276--276
Eli Turkel Preconditioned methods for solving the
incompressible and low speed
compressible equations . . . . . . . . . 277--298
K. M. Liu and
E. L. Ortiz Tau method approximation of differential
eigenvalue problems where the spectral
parameter enters nonlinearly . . . . . . 299--310
D. C. Haworth and
S. B. Pope Monte Carlo solutions of a joint PDF
equation for turbulent flows in general
orthogonal coordinates . . . . . . . . . 311--346
J. M. Floryan and
Charles Zemach Schwarz--Christoffel mappings: A General
approach . . . . . . . . . . . . . . . . 347--371
Y. M. Chen and
M. S. Liu Efficiency improvement of GPST inversion
algorithm . . . . . . . . . . . . . . . 372--382
H. G. Miller and
M. C. Steenkamp and
C. J. Wright A two-step iterative block Lanczos
algorithm for a dominant eigenspan . . . 383--392
Hideaki Miyata and
Toru Sato and
Nobuhiro Baba Difference solution of a viscous flow
with free-surface wave about an
advancing ship . . . . . . . . . . . . . 393--421
Natalia Sternberg A spectral method for nonlinear wave
equations . . . . . . . . . . . . . . . 422--434
S. E. Attenberger and
W. A. Houlberg and
S. P. Hirshman Some practical considerations involving
spectral representations of $3$D plasma
equilibria . . . . . . . . . . . . . . . 435--448
J. Peraire and
M. Vahdati and
K. Morgan and
O. C. Zienkiewicz Adaptive remeshing for compressible flow
computations . . . . . . . . . . . . . . 449--466
Patrick J. Mann A new finite element method for
spherically symmetric relativistic
collapse . . . . . . . . . . . . . . . . 467--485
Tao Tang and
Wei Yuan The further study of a certain nonlinear
integro-differential equation . . . . . 486--497
Eric D. Siggia and
Alain Pumir A rapidly convergent method for the
inversion of separable, positive,
self-adjoint discrete elliptic operators
in three or more dimensions . . . . . . 498--500
F. If and
P. Berg and
P. L. Christiansen and
O. Skovgaard Split-step spectral method for nonlinear
Schrödinger equation with absorbing
boundaries . . . . . . . . . . . . . . . 501--503
P. K. Chattaraj and
S. Rao Koneru and
B. M. Deb Stability analysis of finite difference
schemes for quantum mechanical equations
of motion . . . . . . . . . . . . . . . 504--512
E. P. Ascoli and
D. S. Dandy and
L. G. Leal On distortion functions for the strong
constraint method of numerically
generating orthogonal coordinate grids 513--519
Anonymous List of forthcoming articles . . . . . . 520--520
Anonymous Author index for volume 72 . . . . . . . 521--521
John Killeen In memoriam Keith V. Roberts . . . . . . vi + 1--4
D. P. Stotler and
H. L. Berk Solution of hot particle ballooning mode
integral equation in Tokamaks . . . . . 5--40
Brendan McNamara Supercomputer environments for science
applications . . . . . . . . . . . . . . 41--58
Ichiro Kawakami Finite element method with optimal nodal
velocity . . . . . . . . . . . . . . . . 59--72
W. Lotz and
J. Nührenberg and
A. Schlüter Neoclassical energy confinement in
stellarators . . . . . . . . . . . . . . 73--84
J. P. Christiansen Integrated analysis of data from JET . . 85--106
G. Kuo-Petravic and
A. H. Boozer Numerical determination of the magnetic
field line Hamiltonian . . . . . . . . . 107--124
M. Petravic Orthogonal grid construction for
modeling of transport in tokamaks . . . 125--130
Klaus H. Hain The partial donor cell method . . . . . 131--147
James W. Eastwood The two-dimensional adiabatic relaxation
method for MHD modelling . . . . . . . . 148--167
R. Gruber and
R. Iacono and
F. Troyon Computation of MHD equilibria by a
quasi-inverse finite hybrid element
approach . . . . . . . . . . . . . . . . 168--182
S. G. Lambrakos and
J. P. Boris Geometric properties of the monotonic
Lagrangian grid algorithm for near
neighbor calculations . . . . . . . . . 183--202
K. W. Morton and
P. K. Sweby A comparison of flux limited difference
methods and characteristic Galerkin
methods for shock modelling . . . . . . 203--230
Anonymous List of forthcoming articles . . . . . . 231--231
David S. Ross Redesign of a supercritical wing in the
presence of an engine nacelle . . . . . 233--243
M. F. Maritz and
S. W. Schoombie Parasitic waves and solitons in the
numerical solution of the Korteweg--de
Vries and modified Korteweg--de Vries
equation . . . . . . . . . . . . . . . . 244--266
D. E. Keyes and
M. D. Smooke Flame sheet starting estimates for
counterflow diffusion flame problems . . 267--288
S. R. Vatsya A representation and approximation of
the solutions of hyperbolic differential
equations . . . . . . . . . . . . . . . 289--305
L. Gr Ixaru and
M. Rizea Numerov method maximally adapted to the
Schrödinger equation . . . . . . . . . . 306--324
Leslie Greengard and
Vladimir Rokhlin A fast algorithm for particle
simulations . . . . . . . . . . . . . . 325--348
Lawrence D. Cloutman A convective flux limiter for
non-Lagrangian computational fluid
dynamics . . . . . . . . . . . . . . . . 349--363
Stuart E. Rogers and
James L. C. Chang and
Dochan Kwak A diagonal algorithm for the method of
pseudocompressibility . . . . . . . . . 364--379
N. S. Asaithambi Computation of free-surface flows . . . 380--394
C. C. Lytton Solution of the Euler equations for
transonic flow over a lifting
aerofoil-the Bernoulli formulation
(Roe/Lytton Method) . . . . . . . . . . 395--431
Shlomo Ta'asan Multigrid method for the equilibrium
equations of elasticity using a compact
scheme . . . . . . . . . . . . . . . . . 432--446
D. Eyre Solving three-body integral equations
with blending functions . . . . . . . . 447--460
Richard C. Brower and
Roscoe Giles and
K. J. M. Moriarty Weak decay processes in lattice QCD . . 461--467
G. D. Venneri William and
William G. Hoover Simple exact test for well-known
molecular dynamics algorithms . . . . . 468--475
Charles G. Speziale On the advantages of the
vorticity-velocity formulation of the
equations of fluid dynamics . . . . . . 476--480
Celso L. Ladera and
Pablo Martin Transmittance of a circular aperture by
an integrable fractional-like
approximation to $ J_0 (x) $ function 481--489
P. Concus and
W. Proskurowski Corrigendum . . . . . . . . . . . . . . 490--490
Anonymous List of forthcoming articles . . . . . . 491--491
Anonymous Author index for volume 73 . . . . . . . 492--492
John B. Bell and
Clint N. Dawson and
Gregory R. Shubin An unsplit, higher order Godunov method
for scalar conservation laws in multiple
dimensions . . . . . . . . . . . . . . . 1--24
Stergios G. Yiantsios and
Brian G. Higgins Numerical solution of eigenvalue
problems using the compound matrix
method . . . . . . . . . . . . . . . . . 25--40
Giuseppe Gambolati and
Giorgio Pini and
Flavio Sartoretto An improved iterative optimization
technique for the leftmost eigenpairs of
large symmetric matrices . . . . . . . . 41--60
R. Riedinger and
M. Habar and
P. Oelhafen and
H. J. Güntherodt About the Delaunay--Voronoi tesselation 61--72
D. Eyre and
C. J. Wright Adaptive mesh grading for finite element
solutions of an integral equation in
quantum scattering . . . . . . . . . . . 73--84
Alexander Bogomolny A method of approximating stiffness
matrices for some pseudodifferential
equations . . . . . . . . . . . . . . . 85--93
M. Hosoya and
E. Goto and
T. Soma Extrapolated boundary element method for
three-dimensional inductance calculation 94--109
Ben-Yu Guo and
Wei-Ming Cao The Fourier pseudospectral method with a
restrain operator for the RLW equation 110--126
Stuart M. Rothstein and
Jan Vrbik Statistical error of diffusion Monte
Carlo . . . . . . . . . . . . . . . . . 127--142
M. A. R. Sharif and
Ahmed A. Busnaina Assessment of finite difference
approximations for the advection terms
in the simulation of practical flow
problems . . . . . . . . . . . . . . . . 143--176
Guy Lonsdale Solution of a rotating Navier--Stokes
problem by a nonlinear multigrid
algorithm . . . . . . . . . . . . . . . 177--190
J. G. Blom and
J. M. Sanz-Serna and
J. G. Verwer On simple moving grid methods for
one-dimensional evolutionary partial
differential equations . . . . . . . . . 191--213
D. W. Kelly and
R. J. Mills and
J. A. Reizes and
A. D. Miller A posteriori error estimates in finite
difference techniques . . . . . . . . . 214--232
Renato Spigler Numerical treatment of a boundary-value
problem for a certain singular parabolic
partial differential equation . . . . . 233--243
Renato Spigler Numerical simulation for certain
stochastic ordinary differential
equations . . . . . . . . . . . . . . . 244--262
Anonymous List of forthcoming articles . . . . . . 263--263
Jeppe Olsen and
Hans Jòrgen Aa Jensen and
Poul Jòrgensen Solution of the large matrix equations
which occur in response theory . . . . . 265--282
J. A. Sethian and
Ahmed F. Ghoniem Validation study of vortex methods . . . 283--317
Fadil Santosa and
William W. Symes High-frequency perturbational analysis
of the surface point-source response of
a layered fluid . . . . . . . . . . . . 318--381
P. Glaister An approximate linearised Riemann solver
for the Euler equations for real gases 382--408
Peter Hall and
Richard L. Smith The kernel method for unfolding sphere
size distributions . . . . . . . . . . . 409--421
Antonios E. Giannakopoulos and
Antonie J. Engel Directional control in grid generation 422--439
Paul Murray and
G. F. Carey Finite element analysis of diffusion
with reaction at a moving boundary . . . 440--455
James A. Viecelli Estimating limits on resolution and
predictability in computations of
hydrodynamically unstable flows . . . . 456--476
H. J. Gardner and
R. L. Dewar and
W. N-C Sy The free-boundary equilibrium problem
for helically symmetric plasmas . . . . 477--487
Fulvio Melia A new technique for solving Parker-type
wind equations . . . . . . . . . . . . . 488--492
John K. Dukowicz Efficient volume computation for
three-dimensional hexahedral cells . . . 493--496
Anonymous Announcement . . . . . . . . . . . . . . 497--497
Anonymous List of forthcoming articles . . . . . . 498--498
Anonymous Author index for volume 74 . . . . . . . 499--499
S. Mafé and
J. Pellicer and
V. M. Aguilella A numerical approach to ionic transport
through charged membranes . . . . . . . 1--14
J. M. Floryan and
Charles Zemach Quadrature rules for singular integrals
with application to Schwarz--Christoffel
mappings . . . . . . . . . . . . . . . . 15--30
A. Cloot and
B. M. Herbst Grid resonances, focusing and
Benjamin--Feir instabilities in leapfrog
time discretizations . . . . . . . . . . 31--53
Jeffrey C. Buell A mixed finite difference/Galerkin
method for three-dimensional
Rayleigh--Bénard Convection . . . . . . . 54--72
G. C. Pomraning Initial and boundary conditions for
flux-limited diffusion theory . . . . . 73--85
James G. Berryman Interpolating and integrating
three-point correlation functions on a
lattice . . . . . . . . . . . . . . . . 86--102
Boris D. Lubachevsky Efficient parallel simulations of
dynamic Ising spin systems . . . . . . . 103--122
Ulrich Schumann and
Roland A. Sweet Fast Fourier transforms for direct
solution of Poisson's equation with
staggered boundary conditions . . . . . 123--137
D. J. Adams The implementation of fluid phase Monte
Carlo on the DAP . . . . . . . . . . . . 138--150
R. J. MacKinnon and
G. F. Carey Analysis of material interface
discontinuities and superconvergent
fluxes in finite difference theory . . . 151--167
J. H. Whealton and
G. L. Chen and
R. J. Raridon and
R. W. McGaffey and
E. F. Jaeger and
M. A. Bell and
D. J. Hoffman A $3$D analysis of Maxwell's equations
for cavities of arbitrary shape . . . . 168--189
Clive Temperton A new set of minimum-add small-$n$
rotated DFT modules . . . . . . . . . . 190--198
Clive Temperton A self-sorting in-place prime factor
real/half-complex FFT algorithm . . . . 199--216
Serge Gauthier A spectral collocation method for
two-dimensional compressible convection 217--235
W. M. Pickering and
P. J. Harley Poisson's equation, hexagonal grids and
FFT methods: Periodic boundary
conditions . . . . . . . . . . . . . . . 236--243
Carlos A. Martin and
Gustavo Monti Nonlinear-multiple-function simultaneous
least squares fitting procedure . . . . 244--250
Anonymous List of forthcoming articles . . . . . . 251--251
Grétar Tryggvason Numerical simulations of the
Rayleigh--Taylor instability . . . . . . 253--282
J. L. Anderson and
D. W. Hobill A study of nonlinear radiation damping
by matching analytic and numerical
solutions . . . . . . . . . . . . . . . 283--299
T. Passot and
A. Pouquet Hyperviscosity for compressible flows
using spectral methods . . . . . . . . . 300--313
John A. Scales and
Adam Gersztenkorn and
Sven Treitel Fast $ I_p $ solution of large, sparse,
linear systems: Application to seismic
travel time tomography . . . . . . . . . 314--333
M. Puoskari A method for computing Bessel function
integrals . . . . . . . . . . . . . . . 334--344
Musheng Wei and
George Majda and
Walter Strauss Numerical computation of the scattering
frequencies for acoustic wave equations 345--358
Y. Choi and
J. A. C. Humphrey and
F. S. Sherman Random-vortex simulation of transient
wall-driven flow in a rectangular
enclosure . . . . . . . . . . . . . . . 359--383
H. Matsuo and
Y. Ohya and
K. Fujiwara and
H. Kudoh Numerical simulation of cylindrically
converging shock waves . . . . . . . . . 384--399
M. Brio and
C. C. Wu An upwind differencing scheme for the
equations of ideal magnetohydrodynamics 400--422
A. H. Reiman and
H. S. Greenside Numerical solution of three-dimensional
magnetic differential equations . . . . 423--443
Seiichi Koshizuka and
Yoshiaki Oka and
Yasumasa Togo and
Shunsuke Kondo Interpolating matrix method: A finite
difference method for arbitrary
arrangement of mesh points . . . . . . . 444--468
J. U. Brackbill The ringing instability in
particle-in-cell calculations of
low-speed flow . . . . . . . . . . . . . 469--492
Steven Pruess On shooting algorithms for calculating
Sturm--Liouville eigenvalues . . . . . . 493--497
V. H. Ransom and
D. L. Hicks Hyperbolic two-pressure models for
two-phase flow revisited . . . . . . . . 498--504
Anonymous List of forthcoming articles . . . . . . 505--505
Anonymous Author index for volume 75 . . . . . . . 506--506
H. K. Kuiken Fin methods of higher order . . . . . . 1--18
E. Dick A flux-difference splitting method for
steady Euler equations . . . . . . . . . 19--32
M. S. Hall The interaction between a compliant
material and an unstable boundary layer
flow . . . . . . . . . . . . . . . . . . 33--47
Robert M. Ker Simulation of Rayleigh--Taylor flows
using vortex blobs . . . . . . . . . . . 48--84
Toshiaki Itoh and
Kanji Abe Hamiltonian-conserving discrete
canonical equations based on variational
difference quotients . . . . . . . . . . 85--102
Y. Tourigny and
J. Ll Morris An investigation into the effect of
product approximation in the numerical
solution of the cubic nonlinear
Schrödinger equation . . . . . . . . . . 103--130
J. Holz and
W. Glockle Time-independent and time-dependent
potential scattering without angular
momentum decomposition . . . . . . . . . 131--158
J. B. Adams and
W. N. G. Hitchon Solution of Master and Fokker--Planck
equations by propagator methods, applied
to Au/NaCl thin film nucleation . . . . 159--175
P. Smith and
S. Torquato Computer simulation results for the
two-point probability function of
composite media . . . . . . . . . . . . 176--191
Silvina Ponce Dawson and
Constantino Ferro Fontán Extension of the Ablowitz--Ladik method
to the derivative nonlinear Schrödinger
equation . . . . . . . . . . . . . . . . 192--200
Michael E. Kress Back-averaging: An accelerated iterative
method for simulating plasma diffusion 201--230
Anonymous Announcements . . . . . . . . . . . . . 231--231
Anonymous List of forthcoming articles . . . . . . 232--232
B. Schiff Finite element eigenvalues for the
Laplacian over an L-shaped domain . . . 233--242
R. H. Bisseling and
R. Kosloff Optimal choice of grid points in
multidimensional pseudospectral Fourier
methods . . . . . . . . . . . . . . . . 243--262
S. A. Alexander and
R. L. Coldwell and
H. J. Monkhorst Polyatomic SCF calculations with
numerical orbitals. II. Methods to
reduce integration and truncation error 263--280
Chien-Cheng Chang Random vortex methods for the
Navier--Stokes equations . . . . . . . . 281--300
Thomas F. Buttke A numerical study of superfluid
turbulence in the self-induction
approximation . . . . . . . . . . . . . 301--326
Kwang Y. Kim and
Robert O. Reid and
Robert E. Whitaker On an open radiational boundary
condition for weakly dispersive tsunami
waves . . . . . . . . . . . . . . . . . 327--348
D. E. Fyfe and
E. S. Oran and
M. J. Fritts Surface tension and viscosity with
Lagrangian hydrodynamics on a triangular
mesh . . . . . . . . . . . . . . . . . . 349--384
A. I. Shestakov and
J. A. Harte and
D. S. Kershaw Solution of the diffusion equation by
finite elements in Lagrangian
hydrodynamic Codes . . . . . . . . . . . 385--413
Douglas R. Wyman and
Michael S. Patterson A discrete method for anisotropic
angular sampling in Monte Carlo
simulations . . . . . . . . . . . . . . 414--425
John G. Zabolitzky and
Hans J. Herrmann Multitasking case study on the Cray-2:
The Q2R cellular automaton . . . . . . . 426--447
Anonymous List of forthcoming articles . . . . . . 448--448
Anonymous Author index for volume 76 . . . . . . . 449--449
Z. Csépes and
J. Pipek An effective recursive algorithm for
generating many-body Hugenholtz and
Goldstone diagrams . . . . . . . . . . . 1--17
Claus-Dieter Munz On the numerical dissipation of high
resolution schemes for hyperbolic
conservation laws . . . . . . . . . . . 18--39
Kenichi Matsuno and
Harry A. Dwyer Adaptive methods for elliptic grid
generation . . . . . . . . . . . . . . . 40--52
Michael S. Barnes and
Tina J. Cotler and
Michael E. Elta A staggered-mesh finite-difference
numerical method for solving the
transport equations in low pressure rf
glow discharges . . . . . . . . . . . . 53--72
G. Naouri and
C. Deutsch and
O. Atabek and
R. Lefebvre Successive embeddings of excited atomic
dipoles in plasmas . . . . . . . . . . . 73--84
Lisa J. Fauci and
Charles S. Peskin A computational model of aquatic animal
locomotion . . . . . . . . . . . . . . . 85--108
Jeffrey G. Blaschak and
Gregory A. Kriegsmann A comparative study of absorbing
boundary conditions . . . . . . . . . . 109--139
G. H. Schmidt and
F. J. Jacobs Adaptive local grid refinement and
multi-grid in numerical reservoir
simulation . . . . . . . . . . . . . . . 140--165
Wilhelm Heinrichs Line relaxation for spectral multigrid
methods . . . . . . . . . . . . . . . . 166--182
Barry Koren Defect correction and multigrid for an
efficient and accurate computation of
airfoil flows . . . . . . . . . . . . . 183--206
Arthur Rizzi Multi-cell vortices computed in
large-scale difference solution to the
incompressible Euler equations . . . . . 207--220
Jack K. Hale and
Natalia Sternberg Onset of chaos in differential delay
equations . . . . . . . . . . . . . . . 221--239
David G. Dritschel Contour surgery: A topological
reconnection scheme for extended
integrations using contour dynamics . . 240--266
Ora E. Percus and
Jerome K. Percus Long range correlations in linear
congruential generators . . . . . . . . 267--269
Roger G. Grimes and
Horst D. Simon New software for large dense symmetric
generalized eigenvalue problems using
secondary storage . . . . . . . . . . . 270--275
Antonio L. Guerrero and
Pablo Martin Higher order two-point quasi-fractional
approximations to the Bessel functions $
J_0 (x) $ and $ J_1 (x) $ . . . . . . . 276--281
Anonymous List of forthcoming articles . . . . . . 282--282
William W. Roberts, Jr. and
Mark A. Hausman Hypersonic, stratified gas flows past an
obstacle: Direct simulation Monte Carlo
calculations . . . . . . . . . . . . . . 283--317
V. Colombo and
P. Ravetto and
M. Sumini Variational determination of the neutron
integral transport equation eigenvalues
using space asymptotic trial functions 318--329
William S. Lawson Artificial cooling due to quiet
injection in bounded plasma particle
simulations . . . . . . . . . . . . . . 330--339
Wen-Qiang Lu and
Hsueh-Chia Chang An extension of the biharmonic boundary
integral method to free surface flow in
channels . . . . . . . . . . . . . . . . 340--360
P. Glaister An approximate linearised Riemann solver
for the three-dimensional Euler
equations for real gases using operator
splitting . . . . . . . . . . . . . . . 361--383
B. L. Smith A general numerical procedure for the
treatment of moving interfaces in
implicit continuous Eulerian (ICE)
hydrodynamics . . . . . . . . . . . . . 384--424
Satteluri R. K. Iyengar and
Ram Manohar High order difference methods for heat
equation in polar cylindrical
coordinates . . . . . . . . . . . . . . 425--438
Chi-Wang Shu and
Stanley Osher Efficient implementation of essentially
non-oscillatory shock-capturing schemes 439--471
Hossein Haj-Hariri Transformations reducing the order of
the parameter in differential eigenvalue
problems . . . . . . . . . . . . . . . . 472--484
R. L. Dewar and
H. J. Gardner A harmonic expansion for the magnetic
field of the helical solenoid . . . . . 485--500
Hafez Kobeissi and
Majida Kobeissi A new variable step method for the
numerical integration of the
one-dimensional Schrödinger equation . . 501--512
R. Manohar and
S. R. K. Iyengar and
U. A. Krishnaiah High order difference methods for linear
variable coefficient parabolic equation 513--523
Bryan Basden and
Robert R. Lucchese High-order Newton--Cotes integration
methods in scattering theory . . . . . . 524--536
Andrew D. Booth and
Ian J. M. Booth A note on the progressive calculation of
the mean and variance . . . . . . . . . 537--539
Thiab R. Taha and
Mark J. Ablowitz Analytical and numerical aspects of
certain nonlinear evolution equations
IV. Numerical, modified Korteweg--de
Vries equation . . . . . . . . . . . . . 540--548
Anonymous List of forthcoming articles . . . . . . 549--549
Anonymous Author index for volume 77 . . . . . . . 550--550
G. Lonsdale and
J. S. Bramley and
D. M. Sloan A nonlinear multigrid algorithm and
boundary-fitted coordinates for the
solution of a two-dimensional flow in a
branching channel . . . . . . . . . . . 1--14
B. J. Archer and
G. A. Parker A cross section code for
diatom-spherical particle inelastic
scattering . . . . . . . . . . . . . . . 15--35
Randall J. Leveque High resolution finite volume methods on
arbitrary grids via wave propagation . . 36--63
John C. Strikwerda and
Yvonne M. Nagel A numerical method for the
incompressible Navier--Stokes equations
in three-dimensional cylindrical
geometry . . . . . . . . . . . . . . . . 64--78
L. N. Epele and
H. Fanchiotti and
C. A. García Canal and
S. J. Sciutto Improvement of the Monte Carlo projector
method for spin systems . . . . . . . . 79--93
Lars Ferm Open boundary conditions for stationary
inviscid flow problems . . . . . . . . . 94--113
Bruce D. Scott An implicit simulation of drift-wave
turbulence in a sheared magnetic field 114--137
D. Catherall The optimisation of
approximate-factorisation schemes for
solving elliptic partial differential
equations in three dimensions, featuring
a new two-factor scheme . . . . . . . . 138--159
James J. Gottlieb Staggered and nonstaggered grids with
variable node spacing and local time
stepping for the random choice method 160--177
Mahesh S. Greywall Streamwise computation of
three-dimensional incompressible
potential flows . . . . . . . . . . . . 178--193
Alexander Eydeland and
Bruce Turkington A computational method of solving
free-boundary problems in vortex
dynamics . . . . . . . . . . . . . . . . 194--214
K.-H Hoffmann and
J. Sprekels and
A. Visintin Identification of hysteresis loops . . . 215--230
Paul Papatzacos and
Sven-Åke Gustafson Incompressible flow in porous media with
two moving boundaries . . . . . . . . . 231--248
Anonymous Announcements . . . . . . . . . . . . . 249--249
Anonymous List of forthcoming articles . . . . . . 250--250
Niels F. Otani The Alfvén ion-cyclotron instability.
Simulation theory and techniques . . . . 251--277
C. Chiccoli and
S. Lorenzutta and
G. Maino On the evaluation of generalized
exponential integrals $ E_\nu (x) $ . . 278--287
D. Eyre and
C. J. Wright and
G. Reutert Spline-collocation with adaptive mesh
grading for solving the stochastic
collection equation . . . . . . . . . . 288--304
Arne J. Pearlstein and
Dimitrios A. Goussis Efficient transformation of certain
singular polynomial matrix eigenvalue
problems . . . . . . . . . . . . . . . . 305--312
B. Niclot and
P. Degond and
F. Poupaud Deterministic particle simulations of
the Boltzmann Transport Equation of
semiconductors . . . . . . . . . . . . . 313--349
Q. Zou and
E. A. Overman II and
H.-M Wu and
N. J. Zabusky Contour dynamics for the Euler
equations: curvature controlled initial
node placement and accuracy . . . . . . 350--368
Neil M. Wigley An efficient method for subtracting off
singularities at corners for Laplace's
equation . . . . . . . . . . . . . . . . 369--377
R. B. Kinney and
M. E. Taslim and
S. C. Hung A hybrid computational approach to
multiple-body viscous-flow problems:
Application to large-eddy breakup in a
boundary layer . . . . . . . . . . . . . 378--404
L. L. Boyer and
G. S. Pawley Molecular Dynamics of Clusters of
Particles Interacting with Pairwise
Forces Using a Massively Parallel
Computer . . . . . . . . . . . . . . . . 405--423
Wilhelm Heinrichs Multigrid methods for combined finite
difference and Fourier problems . . . . 424--436
J. J. Gottlieb and
C. P. T. Groth Assessment of Riemann solvers for
unsteady one-dimensional inviscid flows
of perfect gases . . . . . . . . . . . . 437--458
Edward Larsen A grey transport acceleration method far
time-dependent radiative transfer
problems . . . . . . . . . . . . . . . . 459--480
P. V. A. Yidana and
K. Hartt The formation of a rational $S$ matrix
using phase shifts from elastic
scattering . . . . . . . . . . . . . . . 481--492
C. G. Constable and
R. L. Parker Smoothing, splines and smoothing
splines; Their application in
geomagnetism . . . . . . . . . . . . . . 493--508
Anonymous List of forthcoming articles . . . . . . 509--509
Anonymous Author index for volume 78 . . . . . . . 510--510
David Seldner and
Thomas Westermann Algorithms for interpolation and
localization in irregular $2$D meshes 1--11
Stanley Osher and
James A. Sethian Fronts propagating with
curvature-dependent speed: Algorithms
based on Hamilton--Jacobi formulations 12--49
Aaron L. Fogelson and
Charles S. Peskin A fast numerical method for solving the
three-dimensional Stokes' equations in
the presence of suspended particles . . 50--69
M. G. G. Foreman and
A. F. Bennett A numerical stability analysis for the
two-dimensional incompressible Euler
equations . . . . . . . . . . . . . . . 70--84
P. Wesseling Cell-centered multigrid for interface
problems . . . . . . . . . . . . . . . . 85--91
B. D. Reddy and
H. F. Voyé Finite element analysis of the stability
of fluid motions . . . . . . . . . . . . 92--112
W. Y. Soh and
John W. Goodrich Unsteady solution of incompressible
Navier--Stokes equations . . . . . . . . 113--134
Ahmed F. Ghoniem and
Ghassem Heidarinejad and
Anantha Krishnan Numerical simulation of a thermally
stratified shear layer using the vortex
element method . . . . . . . . . . . . . 135--166
D. M. Sloan On modulational instabilities in
discretisations of the Korteweg--de
Vries equation . . . . . . . . . . . . . 167--183
S. I. Zaki and
L. R. T. Gardner and
T. J. M. Boyd A finite element code for the simulation
of one-dimensional Vlasov plasmas. I.
Theory . . . . . . . . . . . . . . . . . 184--199
S. I. Zaki and
T. J. M. Boyd and
L. R. T. Gardner A finite element code for the simulation
of one-dimensional Vlasov plasmas. II.
Applications . . . . . . . . . . . . . . 200--208
Motohiko Tanaka Macroscale implicit electromagnetic
particle simulation of magnetized
plasmas . . . . . . . . . . . . . . . . 209--226
Ewald Müller Flux-vector splitting for the Euler
equations for real gases . . . . . . . . 227--230
A. I. Shestakov Comparison of finite differences and
finite elements on a parabolic problem 231--243
Anonymous List of forthcoming articles . . . . . . 244--244
M. J. Baines and
A. J. Wathen Moving finite element methods for
evolutionary problems. I. Theory . . . . 245--269
I. W. Johnson and
A. J. Wathen and
M. J. Baines Moving finite element methods for
evolutionary problems. II. Applications 270--297
J. Lavergnat and
Th. Lehner and
A. Y. Le Roux Nonlinear beam plasma interaction using
finite difference methods . . . . . . . 298--316
H. Kaplan and
N. Dinar A three-dimensional stochastic model for
concentration fluctuation statistics in
isotropic homogeneous turbulence . . . . 317--335
Wolfgang Wagner Unbiased multi-step estimators for the
Monte Carlo evaluation of certain
functional integrals . . . . . . . . . . 336--352
Yi-Ling F. Chiang Truncation and accumulated errors in
wave propagation . . . . . . . . . . . . 353--372
P. K. Yeung and
S. B. Pope An algorithm for tracking fluid
particles in numerical simulations of
homogeneous turbulence . . . . . . . . . 373--416
G. Miller and
V. Faber and
A. B. White, Jr. Finding plasma equilibria with magnetic
islands . . . . . . . . . . . . . . . . 417--435
John E. Lavery Nonoscillatory solution of the
steady-state inviscid Burgers' equation
by mathematical programming . . . . . . 436--448
A. Barry and
J. Bielak and
R. C. MacCamy On absorbing boundary conditions for
wave propagation . . . . . . . . . . . . 449--468
C. Christodoulides A rational approximation for the
exponential appearing in the theory of
thermally stimulated processes . . . . . 469--472
Chao-Yu Qin An explicit energy-conserving numerical
method for equations of the form $ d^2 x
/ d t^2 = f(x) $ . . . . . . . . . . . . 473--476
David G. Dritschel Contour dynamics/surgery on the sphere 477--483
M. J. Hodgson and
C. M. M. Nex On ``A new splitting to solve a large
Hermitian eigenproblem'' . . . . . . . . 484--485
Clive Temperton Corrigendum . . . . . . . . . . . . . . 486--486
Anonymous Announcement . . . . . . . . . . . . . . 487--487
Anonymous List of forthcoming articles . . . . . . 488--488
Anonymous Author index for volume 79 . . . . . . . 489--489
Grétar Tryggvason Simulation of vortex sheet roll-up by
vortex methods . . . . . . . . . . . . . 1--16
Kenji Ishibashi and
Yuki Miura and
Hiroshi Takada and
Takeji Sakae and
Yuzuru Matsumoto and
Akira Katase Vectorized partial wave calculation
using a Cauchy-type propagation matrix 17--26
William Skamarock and
Joseph Oliger and
Robert L. Street Adaptive grid refinement for numerical
weather prediction . . . . . . . . . . . 27--60
P. Steinle and
R. Morrow An implicit flux-corrected transport
algorithm . . . . . . . . . . . . . . . 61--71
Christopher R. Anderson Vorticity boundary conditions and
boundary vorticity generation for
two-dimensional viscous incompressible
flows . . . . . . . . . . . . . . . . . 72--97
A. Nicolai and
P. Börner A computational model describing
confinement and performance of circular
and D-shaped Tokamak plasmas . . . . . . 98--136
David R. Gardner and
Steven A. Trogdon and
Rod W. Douglass A modified tau spectral method that
eliminates spurious eigenvalues . . . . 137--167
K. W. Morton and
M. F. Paisley A finite volume scheme with shock
fitting for the steady Euler equations 168--203
M. N. Macrossan The equilibrium flux method for the
calculation of flows with
non-equilibrium chemical reactions . . . 204--231
K. Hirao Iterative methods for the solution of
large systems of linear equations . . . 232--242
J. F. H. Quick and
R. M. Quick and
H. G. Miller A simple strategy for finding the
low-lying solutions of the restricted
nuclear Hartree--Fock equations . . . . 243--251
Anonymous List of forthcoming articles . . . . . . 252--252
William S. Lawson Particle simulation of bounded $1$D
plasma systems . . . . . . . . . . . . . 253--276
F. Hayot and
M. Mandal and
P. Sadayappan Implementation and performance of a
binary lattice gas algorithm on parallel
processor systems . . . . . . . . . . . 277--287
Zi-Cai Li A nonconforming combination for solving
elliptic problems with interfaces . . . 288--313
A. Karageorghis and
T. N. Phillips Spectral collocation methods for Stokes
flow in contraction geometries and
unbounded domains . . . . . . . . . . . 314--330
Thom F. Oostendorp and
Adriaan van Oosterom and
Geertjan Huiskamp Interpolation on a triangulated $3$D
surface . . . . . . . . . . . . . . . . 331--343
Chad-Lyan Chang and
Charles L. Merkle The relation between flux vector
splitting and parabolized schemes . . . 344--361
Joseph F. Dreitlein and
George F. Sowers Targetted stochastic matrix inversion 362--373
I. D. Boyd and
J. P. W. Stark On the use of the modified Nanbu direct
simulation scheme . . . . . . . . . . . 374--386
Juan A. Zufiria Linear analysis of the vortex-in-cell
algorithm applied to Rayleigh--Taylor
instability . . . . . . . . . . . . . . 387--402
Laurette S. Tuckerman Divergence-free velocity fields in
nonperiodic geometries . . . . . . . . . 403--441
Jan Mandel and
Steve McCormick A multilevel variational method for $ A
u = \lambda B u $ on composite grids . . 442--452
W. H. Klink and
Tuong Ton-That Calculation of Clebsch--Gordan and Racah
coefficients using symbolic manipulation
programs . . . . . . . . . . . . . . . . 453--471
R. C. Brower and
R. Giles and
K. J. M. Moriarty and
P. Tamayo Combining renormalization group and
multigrid methods . . . . . . . . . . . 472--479
Cathy Mavriplis Laguerre polynomials for infinite-domain
spectral elements . . . . . . . . . . . 480--488
G. Radicati and
Y. Robert and
S. Succi Iterative algorithms for the solution of
nonsymmetric systems in the modelling of
weak plasma turbulence . . . . . . . . . 489--497
K. T. R. Davies Complex-plane methods for evaluating
integrals with highly oscillatory
integrands . . . . . . . . . . . . . . . 498--505
Mark Elowitz and
Frank Hill and
Thomas L. Duvall, Jr. A test of a modified algorithm for
computing spherical harmonic
coefficients using an FFT . . . . . . . 506--511
Anonymous List of forthcoming articles . . . . . . 512--512
Anonymous Author index for volume 80 . . . . . . . 513--513
Marcel Vinokur An analysis of finite-difference and
finite-volume formulations of
conservation laws . . . . . . . . . . . 1--52
Flavio Sartoretto and
Giorgio Pini and
Giuseppe Gambolati Accelerated simultaneous iterations for
large finite element eigenproblems . . . 53--69
Matania Ben-artzi The generalized Riemann problem for
reactive flows . . . . . . . . . . . . . 70--101
H. S. Greenside and
A. H. Reiman and
A. Salas Convergence properties of a
nonvariational $3$D MHD equilibrium code 102--136
Douglas R. Wyman and
Michael S. Patterson and
Brian C. Wilson Similarity relations for anisotropic
scattering in Monte Carlo simulations of
deeply penetrating neutral particles . . 137--150
Bruce I. Cohen and
A. Bruce Langdon and
Dennis W. Hewett and
Richard J. Procassini Performance and optimization of direct
implicit particle simulation . . . . . . 151--168
Kenji Harafuji and
Takaya Hayashi and
Tetsuya Sato Computational study of three-dimensional
magnetohydrodynamic equilibria in
toroidal helical systems . . . . . . . . 169--192
Glenn Joyce and
Richard Hubbard and
Martin Lampe and
Steven Slinker SARLAC: A relativistic electron beam
code . . . . . . . . . . . . . . . . . . 193--205
Mehdi R. Khorrami and
Mujeeb R. Malik and
Robert L. Ash Application of spectral collocation
techniques to the stability of swirling
flows . . . . . . . . . . . . . . . . . 206--229
A. E. Koniges and
C. E. Leith Parallel processing of random number
generation for Monte Carlo turbulence
simulation . . . . . . . . . . . . . . . 230--235
Anonymous Announcement . . . . . . . . . . . . . . 236--236
Anonymous List of forthcoming articles . . . . . . 237--237
A. Solomonoff and
E. Turkel Global properties of pseudospectral
methods . . . . . . . . . . . . . . . . 239--276
B. Neta and
I. M. Navon Analysis of the Turkel--Zwas scheme for
the shallow-water equations . . . . . . 277--299
Ian Christie and
G. H. Ganser A numerical study of nonlinear waves
arising in a one-dimensional model of a
fluidized bed . . . . . . . . . . . . . 300--318
M. J. P. Cullen Implicit finite difference methods for
modelling discontinuous atmospheric
flows . . . . . . . . . . . . . . . . . 319--348
P. A. Smith and
P. K. Stansby An efficient surface algorithm for
random-particle simulation of vorticity
and heat transport . . . . . . . . . . . 349--371
Charles S. Peskin and
David M. McQueen A three-dimensional computational method
for blood flow in the heart I. Immersed
elastic fibers in a viscous
incompressible fluid . . . . . . . . . . 372--405
Michael Davis and
Phiroze Kapadia and
Paul Whiting and
John Dowden Solution of a problem in the theory of
laser medicine by the method of lines 406--420
A. Bayliss and
D. Gottlieb and
B. J. Matkowsky and
M. Minkoff An adaptive pseudo-spectral method for
reaction diffusion problems . . . . . . 421--443
Peter R. Gent and
Mark A. Cane A reduced gravity, primitive equation
model of the upper equatorial ocean . . 444--480
K. J. M. Moriarty and
Eric Myers and
Claudio Rebbi Dynamical interactions of
superconducting flux vortices . . . . . 481--488
Anonymous List of forthcoming articles . . . . . . 489--489
Anonymous Author index for volume 81 . . . . . . . 490--490
J. J. Monaghan On the problem of penetration in
particle methods . . . . . . . . . . . . 1--15
Petri Pajunen Complex Prüfer phase function with
applications to scattering . . . . . . . 16--28
John K. Dukowicz and
Michael C. Cline and
Frank L. Addessio A general topology Godunov method . . . 29--63
Marsha J. Berger and
Phillip Colella Local Adaptive Mesh Refinement for Shock
Hydrodynamics . . . . . . . . . . . . . 64--84
E. Meiburg Incorporation and test of diffusion and
strain effects in the two-dimensional
vortex blob technique . . . . . . . . . 85--93
M. C. Thompson and
J. H. Ferziger An adaptive multigrid technique for the
incompressible Navier--Stokes equations 94--121
F. Hermeline A deterministic particle method for
transport diffusion equations:
Application to the Fokker--Planck
equation . . . . . . . . . . . . . . . . 122--146
Michael Eckert Solving the $1$-, $2$-, and
$3$-dimensional Schrödinger equation for
multiminima potentials using the
Numerov--Cooley method. An extrapolation
formula for energy eigenvalues . . . . . 147--160
R. Van Dooren and
H. Janssen Period doubling solutions in the Duffing
oscillator: A Galerkin approach . . . . 161--171
Joseph B. Keller and
Dan Givoli Exact non-reflecting boundary conditions 172--192
William W. Hager and
John S. Nisbet and
John R. Kasha The evolution and discharge of electric
fields within a thunderstorm . . . . . . 193--217
Ramesh Natarajan and
David Vanderbilt A new iterative scheme for obtaining
eigenvectors of large, real-symmetric
matrices . . . . . . . . . . . . . . . . 218--228
Yamin Ma and
John R. Hiller Numerical solution of the one-pair
equation in the massive Schwinger model 229--240
S. R. Vatsya Existence of the solution of a nonlinear
integro-differential equation . . . . . 241--244
Anonymous Announcement . . . . . . . . . . . . . . 245--245
Anonymous List of forthcoming articles . . . . . . 246--246
Clive Temperton Nesting strategies for prime factor FFT
algorithms . . . . . . . . . . . . . . . 247--268
T. Theodoropoulos and
G. C. Bergeles A Laplacian equation method for
numerical generation of boundary-fitted
$3$D orthogonal grids . . . . . . . . . 269--288
David M. McQueen and
Charles S. Peskin A three-dimensional computational method
for blood flow in the heart. II.
contractile fibers . . . . . . . . . . . 289--297
T. B. Gatski and
C. E. Grosch and
M. E. Rose The numerical solution of the
Navier--Stokes equations for
$3$-dimensional, unsteady,
incompressible flows by compact schemes 298--329
Lawrence K. Forbes An algorithm for $3$-dimensional
free-surface problems in hydrodynamics 330--347
James A. Rome An improved method of calculating flux
coordinates . . . . . . . . . . . . . . 348--361
John B. Bell and
Phillip Colella and
John A. Trangenstein Higher order Godunov methods for general
systems of hyperbolic conservation laws 362--397
Alejandro Pares-Sierra and
Geoffrey K. Vallis A fast semi-direct method for the
numerical solution of non-separable
elliptic equations in irregular domains 398--412
B. E. McDonald Flux-corrected pseudospectral method for
scalar hyperbolic conservation laws . . 413--428
Argyris G. Panaras The spatially non-uniform convergence of
the numerical solutions of flows . . . . 429--453
J. G. Verwer and
J. G. Blom and
J. M. Sanz-Serna An adaptive moving grid method for
one-dimensional systems of partial
differential equations . . . . . . . . . 454--486
W. Paul and
Dieter W. Heermann and
Rashmi C. Desai Implementation of a random number
generator in OCCAM . . . . . . . . . . . 487--491
E. J. Caramana Consistent Finite Difference Operators
That Satisfy $ \nabla \cdot \nabla x = 0
$ . . . . . . . . . . . . . . . . . . . 492--498
Anonymous List of forthcoming articles . . . . . . 499--501
Anonymous Author index for volume 82 . . . . . . . 502--502
Douglas S. Harned and
Zoran Mikic' Accurate semi-implicit treatment of the
Hall effect in magnetohydrodynamic
computations . . . . . . . . . . . . . . 1--15
Roy S. Wikramaratna ACORN --- A new method for generating
sequences of uniformly distributed
pseudo-random Numbers . . . . . . . . . 16--31
Chi-Wang Shu and
Stanley Osher Efficient implementation of essentially
non-oscillatory shock-capturing schemes,
II . . . . . . . . . . . . . . . . . . . 32--78
W. N. G. Hitchon and
D. J. Koch and
J. B. Adams An efficient scheme for
convection-dominated transport . . . . . 79--95
S. Balachandar and
M. R. Maxey Methods for evaluating fluid velocities
in spectral simulations of turbulence 96--125
Leon van Dommelen and
Elke A. Rundensteiner Fast, adaptive summation of point forces
in the two-dimensional Poisson equation 126--147
Ami Harten ENO schemes with subcell resolution . . 148--184
Earl E. Lafon A factorizable formulation of tight
binding . . . . . . . . . . . . . . . . 185--200
Norman H. Fuchs Approximate solutions for large transfer
matrix problems . . . . . . . . . . . . 201--211
Edward W. Larsen and
J. E. Morel Asymptotic solutions of numerical
transport problems in optically thick,
diffusive regimes II . . . . . . . . . . 212--236
Michael E. Kress and
Kurt S. Riedel Semi-implicit reduced
magnetohydrodynamics . . . . . . . . . . 237--239
A. C. Reardon and
D. J. Quesnel Growth of equilibrium clusters of
Lennard-Jones molecules . . . . . . . . 240--245
Anonymous List of forthcoming articles . . . . . . 246--246
Rick Salmon and
Lynne D. Talley Generalizations of Arakawa's Jacobian 247--259
Hwar C. Ku and
Richard S. Hirsh and
Thomas D. Taylor and
Allan P. Rosenberg A pseudospectral matrix element method
for solution of three-dimensional
incompressible flows and its parallel
implementation . . . . . . . . . . . . . 260--291
Yasunao Katayama and
Masato Koda Scaling integration method for singular
integrals and its application to BEM . . 292--302
Wim A. Mulder A new multigrid approach to convection
problems . . . . . . . . . . . . . . . . 303--323
F. Z. Nouri and
D. M. Sloan A comparison of Fourier pseudospectral
methods for the solution of the
Korteweg--de Vries equation . . . . . . 324--344
Peter J. O'Rourke Statistical properties and numerical
implementation of a model for droplet
dispersion in a turbulent gas . . . . . 345--360
Zachary H. Levine and
John W. Wilkins An energy-minimizing mesh for the
Schrödinger equation . . . . . . . . . . 361--372
Yen Liu and
Marcel Vinokur Nonequilibrium flow computations. I. An
analysis of numerical formulations of
conservation laws . . . . . . . . . . . 373--397
Th. Laloyaux and
Ph. Lambin and
J.-P Vigneron and
A. A. Lucas Resolution of the one-dimensional
scattering problem by a finite element
method . . . . . . . . . . . . . . . . . 398--406
J. de Frutos and
J. M. Sanz-Serna Split-step spectral schemes for
nonlinear Dirac systems . . . . . . . . 407--423
Takashi Abe Rarefied gas flow analysis by direct
simulation Monte Carlo method in
body-fitted coordinate system . . . . . 424--432
Eugene D. Brooks III Symbolic implicit Monte Carlo . . . . . 433--446
Akira Aoyagi and
Kanji Abe Parametric excitation of computational
modes inherent to leap-frog scheme
applied to the Korteweg--de Vries
equation . . . . . . . . . . . . . . . . 447--462
P. Demaret and
M. O. Deville Chebyshev pseudospectral solution of the
Stokes equations using finite element
preconditioning . . . . . . . . . . . . 463--484
Yuan-Shun Chin and
Chaoyu Qint Explicit energy-conserving schemes for
the three-body problem . . . . . . . . . 485--493
Anonymous List of forthcoming articles . . . . . . 494--495
Anonymous Author index for volume 83 . . . . . . . 496--496
John H. Halton Pseudo-random trees: Multiple
independent sequence generators for
parallel and branching computations . . 1--56
M. Briscolini and
P. Santangelo Development of the mask method for
incompressible unsteady flows . . . . . 57--75
Peter D. Hortensius and
Howard C. Card and
Robert D. McLeod A VLSI architecture for percolation
simulation . . . . . . . . . . . . . . . 76--89
Bernardo Cockburn and
San-Yih Lin and
Chi-Wang Shu TVB Runge--Kutta local projection
discontinuous Galerkin finite element
method for conservation laws III:
One-dimensional systems . . . . . . . . 90--113
Andreas Karageorghis and
Timothy N. Phillips Chebyshev spectral collocation methods
for laminar flow through a channel
contraction . . . . . . . . . . . . . . 114--133
M. S. Milgram Does a point lie inside a polygon? . . . 134--144
J. C. T. Wang and
G. F. Widhopf A high-resolution TVD finite volume
scheme for the Euler equations in
conservation form . . . . . . . . . . . 145--173
L. Fezoui and
B. Stoufflet A class of implicit upwind schemes for
Euler simulations with unstructured
meshes . . . . . . . . . . . . . . . . . 174--206
John W. Goodrich and
W. Y. Sox Time-dependent viscous incompressible
Navier--Stokes equations: The finite
difference Galerkin formulation and
streamfunction algorithms . . . . . . . 207--241
Dimitrios A. Goussis and
Arne J. Pearlstein Removal of infinite eigenvalues in the
generalized matrix eigenvalue problem 242--246
C. Wu and
E. E. Kunhardt Numerical solution of Poisson's equation
for rapidly varying driving functions 247--254
L. Quartapelle and
S. Rebay Numerical solution of two-point boundary
value problems . . . . . . . . . . . . . 255--255
Lawrence J. Roberts Two-phase flow in porous media with
multicomponent transport: Formulation
and higher order numerical solution . . 255--255
V. Rokhlin Rapid solution of integral equations of
scattering theory in two dimensions . . 255--255
Barry Koren Multigrid and defect correction for the
steady Navier--Stokes equations . . . . 256--256
Meng-Sing Liou and
Bran van Leer and
Jian-Shun Shuen Splitting of inviscid fluxes for real
gases . . . . . . . . . . . . . . . . . 256--256
M. Roth and
J. Lemaire An iterative method to solve the
nonlinear Poisson's equation in the case
of plasma tangential discontinuities . . 256--256
D. B. Ingham and
T. Tang Numerical investigation into the steady
flow past a rotating circular cylinder
at low and intermediate Reynolds numbers 256--257
K. Alvin An explicit finite-difference solution
to the wave equation with variable
velocity . . . . . . . . . . . . . . . . 257--257
D. Pathria Pseudo-spectral solution of nonlinear
Schrödinger equations . . . . . . . . . . 257--257
Ben-Yu Guo and
Yeu-Shan Xiong A spectral-difference method for
two-dimensional viscous flow . . . . . . 259--278
Eric J. Horowitz and
Dan E. Shumaker and
David V. Anderson QN3D: A three-dimensional quasi-neutral
hybrid particle-in-cell code with
applications to the tilt mode
instability in field reversed
configurations . . . . . . . . . . . . . 279--310
Steven D. Kugelmass and
Kenneth Steiglitz A scalable architecture for lattice-gas
simulations . . . . . . . . . . . . . . 311--325
Luis Mier Y. Teran and
Enrique Díaz-herrera and
Marcelo Lozada-cassou and
Rafaél Saavedra-barrera A comparison of numerical methods for
solving nonlinear integral equations
found in liquid theories . . . . . . . . 326--342
T. C. Vanajakshi and
Kevin W. Thompson and
David C. Black Boundary value problems in
magnetohydrodynamics (and fluid
dynamics). I. Radiation boundary
condition . . . . . . . . . . . . . . . 343--359
Laurette S. Tuckerman Transformations of matrices into banded
form . . . . . . . . . . . . . . . . . . 360--376
Roland Hunt The numerical solution of parabolic free
boundary problems arising from thin film
flows . . . . . . . . . . . . . . . . . 377--402
Edwin S. Campbell and
David Belford The construction of the Maxwell
representation for a cylindrically
symmetric spherical harmonic of
arbitrary order . . . . . . . . . . . . 403--413
W. W. Schultz and
S. W. Hong Solution of potential problems using an
overdetermined complex boundary integral
method . . . . . . . . . . . . . . . . . 414--440
Y. Q. Hu A multistep implicit scheme for
time-dependent $2$-dimensional
magnetohydrodynamic flows . . . . . . . 441--460
Shen-Min Liang and
Jyh-Jang Chan An improved upwind scheme for the Euler
equations . . . . . . . . . . . . . . . 461--473
Miljenko Primorac Computation of molecular integrals over
partially generalized Hermite--Gaussian
functions . . . . . . . . . . . . . . . 474--482
J. Y. Poo and
N. Ashgriz A computational method for determining
curvatures . . . . . . . . . . . . . . . 483--491
Anonymous Announcement . . . . . . . . . . . . . . 492--492
Anonymous Abstract of papers to appear in future
issues . . . . . . . . . . . . . . . . . 493--496
Anonymous Author index for volume 84 . . . . . . . 497--497
W. Kerner Large-scale complex eigenvalue problems 1--85
D. M. Summers A random vortex simulation of
Falkner--Skan boundary layer flow . . . 86--103
F. Nataf An open boundary condition for the
computation of the steady incompressible
Navier--Stokes equations . . . . . . . . 104--129
C. S. Tan A multi-domain spectral computation of
three-dimensional laminar horseshoe
vortex flow using incompressible
Navier--Stokes equations . . . . . . . . 130--158
Alan H. Glasser A moving finite element model of the
high density $Z$-pinch . . . . . . . . . 159--209
Jan Nordström The influence of open boundary
conditions on the convergence to steady
state for the Navier--Stokes equations 210--244
G. N. Afanasiev Closed expressions for some useful
integrals involving Legendre functions
and sum rules for zeroes of Bessel
functions . . . . . . . . . . . . . . . 245--252
Anonymous Abstract of papers to appear in future
issues . . . . . . . . . . . . . . . . . 253--255
John B. Bell and
Phillip Colella and
Harland M. Glaz A second-order projection method for the
incompressible Navier--Stokes equations 257--283
A. Héron and
J. C. Adam Particle code optimization on vector
computers . . . . . . . . . . . . . . . 284--301
Paulett C. Liewer and
Viktor K. Decyk A general concurrent algorithm for
plasma particle-in-cell simulation codes 302--322
G. Miller and
V. Faber and
A. B. White, Jr. Resistive evolution of magnetic fields
in plasmas . . . . . . . . . . . . . . . 323--341
John Strain A boundary integral approach to unstable
solidification . . . . . . . . . . . . . 342--389
S. C. R. Dennis and
J. D. Hudson Compact $ h^4 $ finite-difference
approximations to operators of
Navier--Stokes type . . . . . . . . . . 390--416
P. Storchi and
R. J. Van Der Linden A numerical method for the calculation
of the diffusion of high energy
electrons in a heterogeneous medium . . 417--433
Petros Anagnostopoulos Numerical solution for laminar
two-dimensional flow about a fixed and
transversely oscillating cylinder in a
uniform stream . . . . . . . . . . . . . 434--456
Ming Li and
Lawrence Wilets and
Robert J. Perry Numerical methods in calculating boson
and fermion loop corrections . . . . . . 457--472
S. G. Lambrakos and
J. P. Boris and
E. S. Oran and
I. Chandrasekhar and
M. Nagumo A modified shake algorithm for
maintaining rigid bonds in molecular
dynamics simulations of large molecules 473--486
Pablo Martin and
Antonio Luis Guerrero Two-point quasi-fractional
approximations to the Bessel function $
J_\nu (x) $ of fractional order . . . . 487--492
P. Steinle and
R. Morrow and
A. J. Roberts Use of implicit and explicit
flux-corrected transport algorithms in
gas discharge problems involving
non-uniform velocity fields . . . . . . 493--499
Alan J. Miller Updating means and variances . . . . . . 500--501
B. A. Carreras and
V. E. Lynch and
E. F. Jaeger and
D. B. Batchelor and
J. S. Tolliver Full-wave calculations in flux
coordinates for toroidal geometry . . . 502--502
S. J. Jacobs A pseudospectral method for two-point
boundary value problems . . . . . . . . 502--502
Moshe Rosenfeld A method for solving three-dimensional
viscous incompressible flows over
slender bodies . . . . . . . . . . . . . 502--502
H. C. Chen and
V. C. Patel and
S. Ju Solutions of Reynolds-averaged
Navier--Stokes equations for
three-dimensional incompressible flows 502--503
Prabir Daripa On applications of a complex variable
method in compressible flows . . . . . . 503--503
Robert L. Lee and
Niel K. Madsen A mixed finite element formulation for
Maxwell's equations in the time domain 503--503
Dale E. Nielsen, Jr. and
Adam T. Drobot An analysis and optimization of the
pseudo-current method . . . . . . . . . 503--503
P. A. Robinson Systematic methods for calculation of
the dielectric properties of arbitrary
plasmas . . . . . . . . . . . . . . . . 503--503
Anonymous Notes to appear . . . . . . . . . . . . 504--504
Qianshun Chang and
Goubin Wang Multigrid and adaptive algorithm for
solving the nonlinear Schrödinger
equation . . . . . . . . . . . . . . . . 504--504
Ch Foidl and
P. Kasperkovitz Systematic generation of linear graphs
--- Check and extension of the list of
Uhlenbeck and Ford . . . . . . . . . . . 504--504
Junichiro Makino Comparison of two different tree
algorithms . . . . . . . . . . . . . . . 504--504
Ronald B. Morgan Davidson's methods and preconditioning
for generalized eigenvalue problems . . 504--504
Petra Pinero and
Luis F. Rull and
Jose M. Velarde Baxter solution to the $ 0 - Z $
equation near the critical point . . . . 504--504
R. H. Rothberg and
W. F. Walker and
A. J. Chapman Enhanced boundary pressure update for
incompressible flow simulation . . . . . 504--504
Anonymous Author index for volume 85 . . . . . . . 505--505