Last update:
Mon Sep 4 17:20:10 MDT 2023
R. K. Nesbet Algorithm for Diagonalization of Large
Matrices . . . . . . . . . . . . . . . . 311--312
James J. O'Brien A direct numerical solution to a
one-dimensional Helmholtz equation . . . 544--546
P. H. Junior and
H. Deitinghoff Low magnetic-field optimisation of
focusing device in a helix linear
accelerator . . . . . . . . . . . . . . 1--12
E. L. Lindman Dispersion relation for
computer-simulated plasmas . . . . . . . 13--22
W. D. Barreld Numerical method for generating
orthogonal curvilinear meshes . . . . . 23--33
Jeno Gazdag Bubble-chamber picture processing
through digital filtering . . . . . . . 34--55
D. W. Alspaugh and
H. H. Kagiwada and
R. Kalaba Application of invariant imbedding to
the buckling of columns . . . . . . . . 56--69
James L. Blue and
Hermann K. Gummel Rational approximations to matrix
exponential for systems of stiff
differential equations . . . . . . . . . 70--83
H. Icschwendt Legendre expansion and integral
equations of displacement type . . . . . 84--102
C. W. Hirt and
J. L. Cook and
T. D. Butler A Lagrangian method for calculating the
dynamics of an incompressible fluid with
free surface . . . . . . . . . . . . . . 103--124
W. G. Rudd and
Z. W. Salsburg and
L. M. Masinter Methods of evaluating $N$-dimensional
integrals with polytope bounds . . . . . 125--138
W. P. Crowley A numerical model for viscous,
free-surface, barotropic wind driven
ocean circulations . . . . . . . . . . . 139--168
John Gary and
Richard Helgason A matrix method for ordinary
differential eigenvalue problems . . . . 169--187
José Canosa and
Roberto Gomes De Oliveira A new method for the solution of the
Schrödinger equation . . . . . . . . . . 188--207
John L. L. Morris On the numerical solution of a heat
equation associated with a thermal
print-head . . . . . . . . . . . . . . . 208--228
A. R. Gourlay and
J. Ll Morris On the comparison of multistep
formulations of the optimized
Lax--Wendroff method for nonlinear
hyperbolic systems in two space
variables . . . . . . . . . . . . . . . 229--243
Rodney Van Wyk Variable mesh multistep methods for
ordinary differential equations . . . . 244--264
Edmund K. Miller A variable interval width quadrature
technique based on Romberg's method . . 265--279
J. A. Campbell and
Anthony C. Hearn Symbolic analysis of Feynman diagrams by
computer . . . . . . . . . . . . . . . . 280--327
H. O'Hara and
Francis J. Smith The efficient calculation of the
transport properties of a dilute gas to
a prescribed accuracy . . . . . . . . . 328--344
Robin Shakeshaft The analytical and recursive evaluation
of two-center integrals . . . . . . . . 345--349
R. Grimm and
R. G. Storer The numerical solution of Schrödinger's
equation with a nonlocal potential . . . 350--354
P. Kovahic Inversion of a covariance matrix . . . . 355--357
Hartmut H. Bossel Use of exponentials in the integral
solution of the parabolic equations of
boundary layer, wake, jet, and vortex
flows . . . . . . . . . . . . . . . . . 359--382
T. H. Gawain and
J. W. Pritchett A unified heuristic model of fluid
turbulence . . . . . . . . . . . . . . . 383--405
Mark L. Wilkins Finite difference scheme for calculating
problems in two space dimensions and
time . . . . . . . . . . . . . . . . . . 406--414
Richard Collins and
Hsiang-Teh Chen Propagation of a shock wave of arbitrary
strength in two half planes containing a
free surface . . . . . . . . . . . . . . 415--442
Thomas D. Taylor and
Bruce S. Masson Application of the unsteady numerical
method of Godunov to computation of
supersonic flows past bell-shaped bodies 443--454
C. E. Chapin and
R. Goulard and
H. F. Nelson The use of multiplying factors in
radiation transfer iterations . . . . . 455--462
Maurice Holt and
D. Ejike Ndefo A numerical method for calculating
steady unsymmetrical supersonic flow
past cones . . . . . . . . . . . . . . . 463--486
Gino Moretti and
Manuel D. Salas Numerical analysis of viscous
one-dimensional flows . . . . . . . . . 487--506
V. V. Rusanov On difference schemes of third order
accuracy for nonlinear hyperbolic
systems . . . . . . . . . . . . . . . . 507--516
S. K. Godunov and
A. A. Deribas and
A. V. Zabrodin and
N. S. Kozin Hydrodynamic effects in colliding solids 517--539
Ja. M. Kazhdan Asymptotic behavior of a convergent
spherical rarefaction wave . . . . . . . 540--546
Samuel Z. Burstein and
Arthur A. Mirin Third order difference methods for
hyperbolic equations . . . . . . . . . . 547--571
P. I. Chushkin Supersonic flows about conical bodies 572--586
O. M. Belotserkovskii Numerical methods of some transsonic
aerodynamics problems . . . . . . . . . 587--611
Anonymous Author index of volume $5$ . . . . . . . 612--613
J. S. Chang and
G. Cooper A practical difference scheme for
Fokker--Planck equations . . . . . . . . 1--16
S. S. Chiu Difference method for multiple
reflection of elastic stress waves . . . 17--28
P. Erd\Hos and
S. B. Haley and
J. T. Marti and
J. Mennig A new method for the solution of the
transport equation in slab geometry . . 29--55
Frank Stern Iteration methods for calculating
self-consistent fields in semiconductor
inversion layers . . . . . . . . . . . . 56--67
Robert K.-C Chan and
Robert L. Street A computer study of finite-amplitude
water waves . . . . . . . . . . . . . . 68--94
William P. Minicozzi and
Michael T. Stroot On the determination of interaction
energy functions II. Crystalline formic
acid . . . . . . . . . . . . . . . . . . 95--104
V. A. LoDato The numerical solution of a nonlinear
master equation . . . . . . . . . . . . 105--112
Philip Empedocles Ground-state eigenvectors for many
configuration wavefunctions . . . . . . 113--119
Hans Morawrrz A numerical approach to principal value
integrals in dispersion relations . . . 120--123
Isaiah Shavitt Modification of Nesbet's algorithm for
the iterative evaluation of eigenvalues
and eigenvectors of large matrices . . . 124--130
George B. Rybicki A note on the computation of diffuse
reflection functions for spherical
shells . . . . . . . . . . . . . . . . . 131--135
H. Ralph Lewis Energy-conserving numerical
approximations for Vlasov plasmas . . . 136--141
Henry F. Schaefer III Diatomic molecule symmetry
eigenfunctions by direct diagonalization 142--145
C. F. Bender and
I. Shavitt An Iterative Procedure for the
Calculation of the Lowest Real
Eigenvalue and Eigenvector of a
Non-Symmetric Matrix . . . . . . . . . . 146--149
P. G. N. Moseley Computation of dissociation constants
and equivalent conductances at infinite
dilution . . . . . . . . . . . . . . . . 150--151
William Squire A Rational Approximation to an Integral
Appearing in Glow Curve Theory . . . . . 152--153
Anonymous Erratum . . . . . . . . . . . . . . . . 155--155
Wilhelm Matthes Simulation of relaxation processes by
Monte Carlo . . . . . . . . . . . . . . 157--167
Czeslaw P. Kentzer Transonic flows past a circular cylinder 168--182
W. P. Crowley A numerical model for viscous,
nondivergent, barotropic, wind-driven,
ocean circulations . . . . . . . . . . . 183--199
Ronald L. Drake and
Michael B. Ellingson The application of a local similarity
concept in solving the radial flow
problem . . . . . . . . . . . . . . . . 200--218
Anita Sielecki and
M. G. Wurtele The numerical integration of the
nonlinear shallow-water equations with
sloping boundaries . . . . . . . . . . . 219--236
C. Bottcher Integrals involving continuum
wavefunctions I: One-center Coulomb
integrals . . . . . . . . . . . . . . . 237--246
A. Bruce Langdon Effects of the spatial grid in
simulation plasmas . . . . . . . . . . . 247--267
P. J. Taylor The linear stability of no-slip boundary
conditions in the numerical solution of
nonsteady fluid flows . . . . . . . . . 268--287
Hans G. Kaper and
J. Kenneth Shultis and
Jaap G. Veninga Numerical evaluation of the slab albedo
problem solution in one-speed
anisotropic transport theory . . . . . . 288--313
Reuven Chen On the Computation of the Generalized
Integral in Glow Curve Theory . . . . . 314--316
Patrick J. Roache Sufficiency conditions for a commonly
used downstream boundary condition on
stream function . . . . . . . . . . . . 317--321
Anthony A. Amsden and
Francis H. Harlow A simplified MAC technique for
incompressible fluid flow calculations 322--325
R. D. Dowsing Use of grid search techniques to extend
the use of a least squares program for
analysis of electron spin resonance
spectra . . . . . . . . . . . . . . . . 326--328
J. Proriol and
R. Laverriere Relativistic calculations of angular
correlations of particles issued from an
interaction-free resonance decay . . . . 329--332
C. Hategan Irregular solution of a system of
coupled Schrödinger equations . . . . . . 333--335
Samuel Y. K. Yee Comments on ``A direct numerical
solution to a one-dimensional Helmholtz
equation'' . . . . . . . . . . . . . . . 336--337
R. G. Rehm and
J. W. Rich Monte Carlo evaluation of the
temperature dependence of molecular
transport integrals . . . . . . . . . . 339--355
James T. Palmer and
Donald R. Smith On an unconditionally stable difference
scheme for the multifrequency Eddington
equations . . . . . . . . . . . . . . . 356--366
R. F. Curl, Jr. Diagnostic least squares . . . . . . . . 367--377
A. C. Allison The numerical solution of coupled
differential equations arising from the
Schrödinger equation . . . . . . . . . . 378--391
Steve A. Piacsek and
Gareth P. Williams Conservation properties of convection
difference schemes . . . . . . . . . . . 392--405
K. Krishna Prasad and
R. G. Hering Numerical integration of a nonlinear,
singular integro-partial differential
equation . . . . . . . . . . . . . . . . 406--416
W. D. Barfield An optimal mesh generator for Lagrangian
hydrodynamic calculations in two space
dimensions . . . . . . . . . . . . . . . 417--429
Niels K. Winsor and
John L. Johnson and
John M. Dawson A numerical model for toroidal plasma
containment with flow . . . . . . . . . 430--448
Richard H. Miller Gravitational $N$-body calculation in a
discrete phase space . . . . . . . . . . 449--472
Pavel Kovanic Accuracy limitations in an unbiased
optimum data treatment . . . . . . . . . 473--482
James C. Whitney Finite difference methods for the
Fokker--Planck equation . . . . . . . . 483--509
Z. W. Ritter A Lagrangian method for calculating
problems in meteorology . . . . . . . . 510--526
F. H. Read A collocation method for solving
Laplace's equation . . . . . . . . . . . 527--532
Anonymous Author index of volume $6$ . . . . . . . 533--534
G. Fast and
T. Janssen Determination of $n$-dimensional space
groups by means of an electronic
computer . . . . . . . . . . . . . . . . 1--11
H. J. Crowder and
C. Dalton On the stability of Poiseuille flow in a
pipe . . . . . . . . . . . . . . . . . . 12--31
H. J. Crowder and
C. Dalton Errors in the use of nonuniform mesh
systems . . . . . . . . . . . . . . . . 32--45
William E. Pracht A numerical method for calculating
transient creep flows . . . . . . . . . 46--60
Takashi Ohmura and
Hiroshi Fujii and
Eijiro Maeda A symbolic calculation code for nuclear
three-body problem . . . . . . . . . . . 61--82
J. Roger Peverley A simplified approach to the evaluation
of lattice sums . . . . . . . . . . . . 83--88
H.-T Chen and
R. Collins Shock wave propagation past an ocean
surface . . . . . . . . . . . . . . . . 89--101
John L. L. Morris On the numerical solution of a heat
equation associated with a thermal print
head. II . . . . . . . . . . . . . . . . 102--119
J. W. Deardorff On the magnitude of the subgrid scale
eddy coefficient . . . . . . . . . . . . 120--133
R. C. Grimm and
R. G. Storer Monte--Carlo solution of Schrödinger's
equation . . . . . . . . . . . . . . . . 134--156
Lloyd D. Fosdick and
Robert C. Jacobson Experiments on a superposition
approximation for Wiener path integrals 157--166
B. K. Crowley and
L. K. Barr TENSOR--PUFL: Boundary condition linked
codes . . . . . . . . . . . . . . . . . 167--171
M. Lutzky Quadratic artificial viscosity in
numerical magnetic gas dynamics . . . . 172--177
Steven D. Stellman and
Mark Froimowitz and
Paul J. Gans Efficient computation of polymer
conformation energy . . . . . . . . . . 178--181
L. W. Owen The multipole expansion of realistic
effective interactions in nuclei . . . . 182--186
William L. Paterson Computation of the exponential trap
population integral of glow curve theory 187--190
J. Calmet and
M. Perrottet An attempt to evaluate renormalized
radiative corrections by computer . . . 191--200
Jerome H. Friedman Random event generation with preferred
frequency distributions . . . . . . . . 201--218
I. K. Abu-Shumays and
L. D. Marinelli A smoothing solution (unfolding) of a
two dimensional density function from
its measured spectrum . . . . . . . . . 219--238
Bertil Gustafsson An alternating direction implicit method
for solving the shallow water equations 239--254
José Canosa Numerical solution of Mathieu's equation 255--272
R. C. Beardsley Integration of the planetary vorticity
equation on a parabolic circular grid 273--288
Tuncer Cebeci and
Herbert B. Keller Shooting and parallel shooting methods
for solving the Falkner--Skan
boundary-layer equation . . . . . . . . 289--300
David L. Williamson A comparison of first- and second-order
difference approximations over a
spherical geodesic grid . . . . . . . . 301--309
D. J. Andrews Calculation of mixed phases in continuum
mechanics . . . . . . . . . . . . . . . 310--326
James L. Blue On finding the admittance matrix of a
thin-film network by solving the reduced
wave equation in two dimensions . . . . 327--345
Robert E. Beck and
Bernard Kolman Generation of the Weyl group on a
computer . . . . . . . . . . . . . . . . 346--353
P. B. James and
G. R. North Computer analysis of Feynman diagrams
for a static model . . . . . . . . . . . 354--357
Philip T. Choong Modified Monte Carlo technique for
clausing factor calculations . . . . . . 358--360
B. J. Alder and
D. A. Young and
M. R. Mansigh and
Z. W. Salsburg Hard sphere equation of state in the
close-packed limit . . . . . . . . . . . 361--366
Frank H. Stillinger Pair distribution in the classical rigid
disk and sphere systems . . . . . . . . 367--384
T. W. Melnyk and
J. S. Rowlinson The statistics of the volumes covered by
systems of penetrating spheres . . . . . 385--393
W. G. Rudd and
H. L. Frisch The equation of state of parallel hard
squares . . . . . . . . . . . . . . . . 394--402
Adolph Beyerlein High density hard square particles
approaching a close packed ``brickwall''
configuration . . . . . . . . . . . . . 403--408
Dwayne A. Chesnut A Monte Carlo study of the thermodynamic
properties of ``hard hexagons'' on the
triangular lattice . . . . . . . . . . . 409--434
Dwayne A. Chesnut The relation between hard-core lattice
gases and hard discs . . . . . . . . . . 435--444
John C. Langeberg and
Zevi W. Salsburg and
Rex B. McLellan The effect of monovacancies on the
elastic properties of rigid disk solids 445--464
C. Grant Miller and
Russell D. Larsen Relative stabilities of a family of
plastically-deformed lattice close
packings of rigid disks . . . . . . . . 465--488
Zevi W. Salsburg and
Dale A. Huckaby Free energy of the fcc and hcp lattices
under first- and second-neighbor
harmonic interactions . . . . . . . . . 489--501
J. B. Hubbard Statistical mechanics of small systems 502--514
E. Kestemont and
A. Bellemans Molecular dynamics of rough disks
assemblies and dielectric relaxation . . 515--527
W. W. Wood and
F. Lado Monte Carlo calculation of normal and
abnormal diffusion in Ehrenfest's
wind-tree model . . . . . . . . . . . . 528--546
J. Stecki On the kinetic equation nonlocal in time
for the generalized self-diffusion
process . . . . . . . . . . . . . . . . 547--553
Kenneth E. Starling and
Zevi W. Salsburg Transport coefficients of
liquids-approximate self-diffusion
coefficient in a cell model . . . . . . 554--565
Yin Yeh and
R. N. Keeler Reaction kinetics probed by dynamic
light scattering . . . . . . . . . . . . 566--575
Bruce N. Miller Electromagnetic theory of light
scattering from an inhomogeneous fluid 576--591
L. Blum X-ray scattering from liquids with
nearly spherical molecules . . . . . . . 592--602
R. E. Nettleton Optical birefringence in cubic crystals 603--605
Ivan Wichterle and
Patsy S. Chappelear and
Rik Kobayashi Determination of critical exponents from
measurements of binary vapor-liquid
equilibrium in the neighborhood of the
critical line . . . . . . . . . . . . . 606--620
G. A. Neece and
F. J. Rogers and
W. G. Hoover Thermodynamic properties of compressed
solid hydrogen . . . . . . . . . . . . . 621--636
Frederic Mandel and
Richard J. Bearman Some remarks on the numerical evaluation
of Fourier and Fourier--Bessel
transforms . . . . . . . . . . . . . . . 637--645
Anonymous Author index of volume $7$ . . . . . . . 646--647
J. S. R. Chisholm Algorithms for the $\gamma$-algebra of
electromagnetic form factors . . . . . . 1--18
R. W. Hockney Measurements of collision and heating
times in a two-dimensional thermal
computer plasma . . . . . . . . . . . . 19--44
R. Wait and
A. R. Mitchell Corner singularities in elliptic
problems by finite element methods . . . 45--52
Glenn Joyce and
Georg Knorr and
Homer K. Meier Numerical integration methods of the
Vlasov equation . . . . . . . . . . . . 53--63
L. Trafton A rapid numerical solution to the radial
Schrödinger equation in the oscillatory
region . . . . . . . . . . . . . . . . . 64--72
P. Silvester and
M. S. Hsieh Projective solution of integral
equations arising in electric and
magnetic field problems . . . . . . . . 73--82
K. V. Roberts and
J. P. Boris The solution of partial differential
equations using a symbolic style of
Algol . . . . . . . . . . . . . . . . . 83--105
A. Lapidus Computation of radially symmetric
shocked flows . . . . . . . . . . . . . 106--118
James A. Viecelli A computing method for incompressible
flows bounded by moving walls . . . . . 119--143
Jerome H. Friedman and
Gerald R. Lynch and
Clifford G. Risk and
Thomas A. Zang, Jr. An efficient Monte Carlo event
generation method for multiperipheral
models . . . . . . . . . . . . . . . . . 144--152
S. McKee The use of the Schur--Cohn conditions
for determining the stability condition
of multi-level finite difference schemes 153--155
Reuven Chen On the remainder of truncated asymptotic
series . . . . . . . . . . . . . . . . . 156--161
John G. Wills On the use of recursion relations in the
numerical evaluation of spherical Bessel
functions and Coulomb functions . . . . 162--166
Richard D. Bardo and
Klaus Ruedenberg Numerical analysis and evaluation of
normalized repeated integrals of the
error function and related functions . . 167--174
Jerome A. Camp Kalman filtering simulation via
numerical solution of the associated
matrix differential equations . . . . . 175--196
Francis H. Harlow and
Anthony A. Amsden A numerical fluid dynamics calculation
method for all flow speeds . . . . . . . 197--213
Francis H. Harlow Contour dynamics for numerical
fluid-flow calculations . . . . . . . . 214--229
P. I. Nakayama and
N. C. Romero Numerical method for almost
three-dimensional incompressible fluid
flow and a simple internal obstacle
treatment . . . . . . . . . . . . . . . 230--240
R. M. Myers and
M. Yanowitch Small oscillations of a viscous
isothermal atmosphere . . . . . . . . . 241--257
J. H. Williamson Initial particle distributions for
simulated plasma . . . . . . . . . . . . 258--267
C. T. Nardo and
R. J. Cresci An alternating directional implicit
scheme for three-dimensional hypersonic
flows . . . . . . . . . . . . . . . . . 268--284
Shunsuke Takagi Numerical differentiation by spline
functions applied to a lake temperature
observation . . . . . . . . . . . . . . 285--291
A. S. Householder and
Kenneth Fox Determination of eigenvectors of
symmetric idempotent matrices . . . . . 292--294
Henry A. Scarton Double precision FORTRAN subroutines to
compute both ordinary and modified
Bessel functions of the first kind and
of integer order with arbitrary complex
argument: $J_n(x + j y)$ and $I_n(x + j
y)$ . . . . . . . . . . . . . . . . . . 295--299
Bhairav D. Joshi Generalized from of atomic two electron
integrals over hydrogenic functions . . 300--303
E. Watterstrom Root finding of polynomials as an
initial value problem . . . . . . . . . 304--308
G. A. Bird Comments on ``Simulation of relaxation
processes by Monte Carlo'' . . . . . . . 309--310
Patricio A. Laura A collocation method for solving
Laplace's equation . . . . . . . . . . . 311--312
J. A. Fleck, Jr. and
J. D. Cummings, Jr. An implicit Monte Carlo scheme for
calculating time and frequency dependent
nonlinear radiation transport . . . . . 313--342
Ahmed H. Sameh A discrete-variable approach for
elastic-plastic wave motions in layered
solids . . . . . . . . . . . . . . . . . 343--368
Bernard Rosen Canonical transformation by computer
(Foldy--Wouthuysen transformation) . . . 369--381
M. Y. Youakim and
C. H. Liu and
K. C. Yeh Generation of random hypersurfaces . . . 382--391
Wen-Hwa Chu Development of a general finite
difference approximation for a general
domain part I: Machine transformation 392--408
Carlos F. Bunge and
Annik Bunge Eigenfunctions of spin and orbital
angular momentum by the projection
operator technique . . . . . . . . . . . 409--416
F. Lado Numerical Fourier transforms in one,
two, and three dimensions for liquid
state calculations . . . . . . . . . . . 417--433
B. D. Nichols and
C. W. Hirt Improved free surface boundary
conditions for numerical
incompressible-flow calculations . . . . 434--448
R. H. Miller Experimental studies of the numerical
stability of the gravitational $n$-body
problem . . . . . . . . . . . . . . . . 449--463
R. H. Miller Partial iterative refinements . . . . . 464--471
Alexandre Joel Chorin Hermite expansions in Monte--Carlo
computation . . . . . . . . . . . . . . 472--482
R. K. Nesbet Evaluation of $m^\dagger(h -
\epsilon)^{-1} m$ for a large Hermitian
matrix $h$ . . . . . . . . . . . . . . . 483--488
Robert Kalaba and
Enrique H. Ruspine Reduction of the Dirichlet problem to an
initial value problem . . . . . . . . . 489--497
F. G. Blottner and
P. J. Roache Nonuniform mesh systems . . . . . . . . 498--499
O. Buneman Analytic inversion of the five-point
Poisson operator . . . . . . . . . . . . 500--505
Anonymous Author index of volume $8$ . . . . . . . 506--507
Philip D. Thompson and
Henrik Rye Equilibrium statistics of the simplest
viscous flow with random forcing . . . . 1--9
Frank Hohl Evolution of a stationary disk of stars 10--25
James N. Hanson Experiments with equation solutions by
functional analysis algorithms and
formula manipulation . . . . . . . . . . 26--52
E. Wasserstrom A new method for solving eigenvalue
problems . . . . . . . . . . . . . . . . 53--74
J. Denavit Numerical simulation of plasmas with
periodic smoothing in phase space . . . 75--98
T. D. Taylor and
E. Ndefo and
B. S. Masson A study of numerical methods for solving
viscous and inviscid flow problems . . . 99--119
V. E. Denny and
R. B. Landis A new method for solving two-point
boundary value problems using optimal
node distribution . . . . . . . . . . . 120--137
N. L. Wentland and
J. R. Merrill Numerical solutions to the helicon
boundary value problem . . . . . . . . . 138--158
L. Gr Ixaru The error analysis of the algebraic
method for solving the Schrödinger
equation . . . . . . . . . . . . . . . . 159--163
J. K. Sullivan Generalized solution of the glow curve
integral applied to nonlinear heating
rates . . . . . . . . . . . . . . . . . 164--166
W. S. Y. Hung and
C. S. Chen and
J. K. Haviland Numerical solutions of reactive fluid
flows during postignition transients in
hybrid rocket systems . . . . . . . . . 167--193
Yasuo Satô and
Kasaburo Karumi A method for determining the
eigenfrequency of a mechanical system by
simulation . . . . . . . . . . . . . . . 194--206
J. C. Pirkle, Jr. and
V. G. Sigillito A variational approach to low Peclet
number heat transfer in laminar flow . . 207--221
Robert J. Gelinas Stiff systems of kinetic equations --- a
practitioner's view . . . . . . . . . . 222--236
D. G. Lilley and
N. A. Chigier An inverse solution procedure for
turbulent swirling boundary layer
combustion flow . . . . . . . . . . . . 237--253
David J. Kaup A modification of the variable phase
method for optimum numerical calculation
of phase shifts . . . . . . . . . . . . 254--272
George A. Baker, Jr. and
D. L. Hunter A diverse strategy method of
minimization . . . . . . . . . . . . . . 273--289
P. R. Jonas and
J. T. Bartlett The numerical simulation of particle
motion in a homogeneous field of
turbulence . . . . . . . . . . . . . . . 290--302
Paul K. Warme and
Nobuhiro Go and
Harold A. Scheraga Refinement of X-ray data on proteins. I.
Adjustment of atomic coordinates to
conform to a specified geometry . . . . 303--317
James H. Renken and
Frank Biggs Use of numerically inverted Laplace
transforms in time-dependent transport
calculations . . . . . . . . . . . . . . 318--338
Stanley G. Rijbin and
Tony C. Lin A numerical method for three-dimensional
viscous flow: Application to the
hypersonic leading edge . . . . . . . . 339--364
Brent L. Marsh and
Frederick A. Costello Use of the simplex method in nonlinear
programming for duct layout design . . . 365--371
Harvey D. Abramson Intrinsic momentum computation of a
charged particle in a magnetic field . . 372--374
C. R. Easton Homogeneous boundary conditions for
pressure in the Mac method . . . . . . . 375--379
Edward B. Goldman Numerical modeling of laser produced
plasmas: a second-order integration
scheme . . . . . . . . . . . . . . . . . 380--384
Arthur D. Snider Correction to a dimensional perturbation
calculation of the contraction
coefficient . . . . . . . . . . . . . . 385--386
B. Eilon and
D. Gottlieb and
G. Zwas Numerical stabilizers and computing time
for second-order accurate schemes . . . 387--397
Michael L. Adelberg and
Alvin M. Saperstein Numerical aspects of momentum-space
scattering equations for peaked
potentials . . . . . . . . . . . . . . . 398--411
Samuel Y. K. Yee An efficient numerical scheme for a
baroclinic quasi-geostrophic model . . . 412--423
C. R. Easton and
Ivan Catton Initial value techniques in free-surface
hydrodynamics . . . . . . . . . . . . . 424--439
Roland C. Le Bail Use of fast Fourier transforms for
solving partial differential equations
in physics . . . . . . . . . . . . . . . 440--465
Dominic J. Palumbo and
Ephraim L. Rubin Solution of the two-dimensional,
unsteady, compressible Navier--Stokes
equations using a second-order accurate
numerical scheme . . . . . . . . . . . . 466--495
D. J. Jones and
J. C. South, Jr. and
E. B. Klunker On the numerical solution of elliptic
partial differential equations by the
method of lines . . . . . . . . . . . . 496--527
Robert E. Huddleston Selection of stepsize in the
variable-step predictor-corrector method
of van Wyk . . . . . . . . . . . . . . . 528--537
R. C. Grimm and
R. G. Storer and
B. Davies Improvements on a new method for the
numerical solution of the Schrödinger
equation . . . . . . . . . . . . . . . . 538--546
C. F. Bender Integral transformations. A bottleneck
in molecular quantum mechanical
calculations . . . . . . . . . . . . . . 547--554
James N. Bass Optimized calculations of
vibrational-rotational states of
diatomic molecules . . . . . . . . . . . 555--567
A. Harten and
G. Zwas Self-adjusting hybrid schemes for shock
computations . . . . . . . . . . . . . . 568--583
Allen K. MacKnight and
Henry Eyring Numerical methods used in the
significant structure theory of liquids 584--591
P. D. Loly and
B. J. S. Huett Evaluation of Brillouin-zone sums on the
cubic lattices . . . . . . . . . . . . . 592--605
Anonymous Addendum . . . . . . . . . . . . . . . . 606--606
Anonymous Author index of volume $9$ . . . . . . . 607--608
S. Abarbanel and
M. Goldberg Numerical solution of quasi-conservative
hyperbolic systems-The cylindrical shock
problem . . . . . . . . . . . . . . . . 1--21
G. J. Burke and
E. K. Miller and
A. J. Poggio and
G. M. Pjerrou and
B. J. Maxum and
W. Meecham An integro-differential equation
approach to acoustic scattering from
fluid-immersed elastic bodies . . . . . 22--39
Richard Bellman and
B. G. Kashef and
J. Casti Differential quadrature: A technique for
the rapid solution of nonlinear partial
differential equations . . . . . . . . . 40--52
E. R. Smith and
R. S. Oberoi and
Ronald J. W. Henry Application of the Harris--Nesbet method
to a dipole coupling potential . . . . . 53--64
Ralph Shapiro Information loss and compensation in
linear interpolation . . . . . . . . . . 65--84
H. Ralph Lewis and
A. Sykes and
J. A. Wesson A comparison of some particle-in-cell
plasma simulation methods . . . . . . . 85--106
R. A. Brown and
F. Lee An application of the shooting method to
the stability problem for a stratified,
rotating boundary layer . . . . . . . . 107--122
Donald G. Truhlar Finite difference boundary value method
for solving one-dimensional eigenvalue
equations . . . . . . . . . . . . . . . 123--132
David V. Anderson and
John Killeen Computation of stable equilibria in
minimum-$B$ mirror devices . . . . . . . 133--150
Herbert B. Keller and
Tuncer Cebeci An inverse problem in boundary-layer
flows: Numerical determination of
pressure gradient for a given wall shear 151--161
A. S. Dickinson Determination of accurate potential
strengths to yield specified eigenvalues
of the radial Schrödinger equation . . . 162--166
Anonymous Announcement . . . . . . . . . . . . . . 167--167
Patrick J. Roache On artificial viscosity . . . . . . . . 169--184
John R. Kirkpatrick and
William F. Walker Numerical method for describing
turbulent, compressible, subsonic
separated jet flows . . . . . . . . . . 185--201
Eugenia Kálnay de Rivas On the use of nonuniform grids in
finite-difference equations . . . . . . 202--210
Charlotte Froese Fischer Iterative solution of the Hartree--Fock
equations with improved stability . . . 211--223
I. M. Longman Numerical Laplace transform inversion of
a function arising in viscoelasticity 224--231
S. M. Roberts and
J. S. Shipman Solution of Troesch's two-point boundary
value problem by a combination of
techniques . . . . . . . . . . . . . . . 232--241
Edward L. Robinson, Jr. and
Henry A. Scarton CONTOR: A FORTRAN subroutine to plot
smooth contours of a single-valued
arbitrary three-dimensional surface . . 242--251
Charles S. Peskin Flow patterns around heart valves: A
numerical method . . . . . . . . . . . . 252--271
D. Shenker and
R. Chen Numerical solution of the glow curve
differential equations . . . . . . . . . 272--283
J. S. R. Chisholm and
A. Genz and
Glenys E. Rowlands Accelerated convergence of sequences of
quadrature approximations . . . . . . . 284--307
J. A. Campbell Computation of a class of functions
useful in the phase-integral
approximation. I. Results . . . . . . . 308--315
S. P. Singhal Evaluation of integrals over the
Brillouin zone by Houston's method . . . 316--323
C. W. Hirt and
J. L. Cook Calculating three-dimensional flows
around structures and over rough terrain 324--340
Amnon Aharony A computer program for molecular
dynamics of dilute gases . . . . . . . . 341--353
J. C. Cavendish and
W. E. Culham and
R. S. Varga A comparison of Crank--Nicolson and
Chebyshev rational methods for
numerically solving linear parabolic
equations . . . . . . . . . . . . . . . 354--368
K. Jurak and
G. J. Pert and
C. E. Capjack Least-squares solution for the blunt
body hypersonic flow problem . . . . . . 369--373
Paul Nelson, Jr. and
C. A. Giles A useful device for certain
boundary-value problems . . . . . . . . 374--378
F. M. Galloway and
R. J. Adler On a finite-difference approach to
turbulence problems . . . . . . . . . . 379--399
H. Ralph Lewis Variational algorithms for numerical
simulation of collisionless plasma with
point particles including
electromagnetic interactions . . . . . . 400--419
W. D. Barfield A transformation of the radiative
transfer equation useful for problems
with steep source gradients . . . . . . 420--431
G. Gilat Analysis of methods for calculating
spectral properties in solids . . . . . 432--465
R. S. Oberoi and
J. Callaway and
G. J. Seiler Analytic evaluation of integrals in
variational calculations of scattering
theory . . . . . . . . . . . . . . . . . 466--474
Hideo Okuda Nonphysical noises and instabilities in
plasma simulation due to a spatial grid 475--486
C. K. Forester and
A. F. Emery A computational method for low Mach
number unsteady compressible free
convective flows . . . . . . . . . . . . 487--502
M. Petravic and
G. Kuo-Petravic and
K. V. Roberts Automatic optimization of symbolic Algol
programs. I. General principles . . . . 503--533
H. Hembd and
H. Kschwendt Solution of the transport integral
equation with anisotropic scattering . . 534--553
Ching-Se Yen and
Russell D. Larsen Quasilinearization technique for
solution of unsteady state diffusion
problems . . . . . . . . . . . . . . . . 554--567
J. L. Gammel and
W. R. Wortman Sixth-order effects in nucleon-nucleon
scattering . . . . . . . . . . . . . . . 568--606
W. L. Sadowski and
D. W. Lozier Use of Olver's algorithm to evaluate
certain definite integrals of plasma
physics involving Chebyshev polynomials 607--613
Roger M. Nisbet Acceleration of the convergence in
Nesbet's algorithm for eigenvalues and
eigenvectors of large matrices . . . . . 614--619
Anonymous Errata . . . . . . . . . . . . . . . . . 620--620
Anonymous Author index: Volume $10$ . . . . . . . 621--622
Henry A. Scarton The method of eigenvalleys . . . . . . . 1--14
Emily B. Turner and
W. Dallas Adams and
George Emanuel Numerical formulation for constant-gain
chemical laser calculations . . . . . . 15--27
Flavian Abramovici The accurate calculation of Fourier
integrals by the Fast Fourier Transform
technique . . . . . . . . . . . . . . . 28--37
Jay P. Boris and
David L. Book Flux-corrected transport. I. SHASTA, a
fluid transport algorithm that works . . 38--69
Karl G. Guderley and
Chen-Chi Hsu A special form of Galerkin's method
applied to heat transfer in plane
Couette--Poiseuille flows . . . . . . . 70--89
I. Shavitt and
C. F. Bender and
A. Pipano and
R. P. Hosteny The iterative calculation of several of
the lowest or highest eigenvalues and
corresponding eigenvectors of very large
symmetric matrices . . . . . . . . . . . 90--108
J. Kenneth Shultis A new method for the calculation of the
emergent distributions for the
anisotropic slab albedo problem . . . . 109--126
John Bentley and
Robert F. Stewart Two-center calculations for x-ray
scattering . . . . . . . . . . . . . . . 127--145
K. G. Guderley and
R. H. Warren An economical approximation for the
coefficients in the development of a
function with respect to an orthogonal
system . . . . . . . . . . . . . . . . . 146--151
J. Oreg Calculation and checking of
electrostatic energy matrices by
computer . . . . . . . . . . . . . . . . 153--165
J. D. Lyons and
R. K. Nesbet Evaluation of integrals required in
scattering theory: II. exchange type
integrals . . . . . . . . . . . . . . . 166--189
R. Afshar and
F. M. Mueller and
J. C. Shaffer Hilbert transformation of densities of
states using Hermite functions . . . . . 190--209
Joe D. Hoffman Accuracy studies of the numerical method
of characteristics for axisymmetric,
steady supersonic flows . . . . . . . . 210--239
M. Metcalf and
M. Regler Solution of the equations of motion of a
charged particle in a stationary
magnetic field . . . . . . . . . . . . . 240--249
O. Buneman Subgrid resolution of flow and force
fields . . . . . . . . . . . . . . . . . 250--268
Brian G. Stephan and
Charles J. Bridgman Compton scattering from a Maxwellian
distribution of electrons in the
discrete $S_n$ method . . . . . . . . . 269--295
Terry J. Vander Werff Periodic method of characteristics . . . 296--305
O. Buneman Inversion of Lewis' Poisson operator . . 307--314
D. J. Austen and
P. D. Loly On the evaluation of lattice Green
functions and Watson-like integrals . . 315--325
D. W. Posener Fast ESR matrix diagonalizatio . . . . . 326--332
Derek C. Barker The calculation of potential gradients
in a moving normal region within a
superconducting thin film . . . . . . . 333--347
A. A. Amsden and
C. W. Hirt A simple scheme for generating general
curvilinear grids . . . . . . . . . . . 348--359
M. Brettschneider and
J. Killeen and
A. A. Mirin Numerical simulation of relativistic
electrons confined in an axisymmetric
mirror field . . . . . . . . . . . . . . 360--399
John C. Langeberg and
Rex B. McLellan Interactions between vacancies in rigid
disk solids . . . . . . . . . . . . . . 400--408
Smio Tani and
Mitio Inokuti Modification of the
variation-of-parameters method and
integration of the Schrödinger equation 409--422
Claude Froeschle and
Jean-Paul Scheidecker Numerical study of the stochasticity of
dynamical systems with more than two
degrees of freedom . . . . . . . . . . . 423--439
Serge J. Zaroodny and
Michael D. Greenberg On a vortex sheet approach to the
numerical calculation of water waves . . 440--446
O. Buneman Analytic inversion of nine-point Poisson
operator . . . . . . . . . . . . . . . . 447--448
M. Yoshimine Construction of the Hamiltonian matrix
in large configuration interaction
calculations . . . . . . . . . . . . . . 449--454
D. Edelson On the solution of differential
equations arising in chemical kinetics 455--457
A. S. Dickinson Comparison of the finite difference
boundary value method and the
Cooley--Cashion--Zare method for solving
one-dimensional eigenvalue equations . . 458--462
Edwin D. Reilly, Jr. Resonant scattering from inhomogeneous
nonspherical targets . . . . . . . . . . 463--492
Mark H. Emery and
Glenn Joyce A comparison of the Fourier--Hermite and
Power Transform solutions of the
nonlinear Vlasov equation . . . . . . . 493--506
G. Brant Foote A numerical method for studying liquid
drop behavior: Simple oscillation . . . 507--530
G. R. McGuire and
J. Ll Morris A class of second-order accurate methods
for the solution of systems of
conservation laws . . . . . . . . . . . 531--549
Hiroshi Morihara and
Ralph Ta-Shun Cheng Numerical solution of the viscous flow
in the entrance region of parallel
plates . . . . . . . . . . . . . . . . . 550--572
John W. White A new form of artificial viscosity . . . 573--590
Ray C. Grimm and
John L. Johnson Stability analysis of low-pressure
axisymmetric toroidal plasma simulations 591--605
Carl S. Ewig and
David O. Harris Matrix solution of periodic Mathieu
equations . . . . . . . . . . . . . . . 606--611
Douglas G. Fox and
Steven A. Orszag Pseudospectral approximation to
two-dimensional turbulence . . . . . . . 612--619
J. Ross Macdonald Fitting experimental data . . . . . . . 620--620
Anonymous Author index: Volume $11$ . . . . . . . 621--622
Michael C. Cline and
Toe D. Hoffman The analysis of nonequilibrium,
chemically reacting, supersonic flow in
three dimensions using a
bicharacteristics method . . . . . . . . 1--23
E. K. Miller and
A. J. Poggio and
G. J. Burke An integro-differential equation
technique for the time-domain analysis
of thin wire structures. I. The
numerical method . . . . . . . . . . . . 24--48
Paul K. Warme and
Harold A. Scheraga Refinement of X-ray data on proteins.
II. Adjustment of structure of specified
geometry to relieve atomic overlaps . . 49--64
R. L. Bivins and
N. Metropolis and
John R. Pasta Nonlinear coupled oscillators: Modal
equation approach . . . . . . . . . . . 65--87
Bruce S. Masson An implicit finite difference method for
Eulerian fluid dynamics . . . . . . . . 88--102
R. A. Moore and
C. F. Liu A numerical approach for the solution of
the radial Schrödinger equation with
atomic-like potentials . . . . . . . . . 103--111
J. Fleischer Partial wave analysis of nucleon-nucleon
Bethe--Salpeter equation on the computer 112--123
O. Buneman Inversion of the Helmholtz (or
Laplace--Poisson) operator for slab
geometry . . . . . . . . . . . . . . . . 124--130
Jay P. Boris and
Roswell Lee Nonphysical self forces in some
electromagnetic plasma-simulation
algorithms . . . . . . . . . . . . . . . 131--136
J. B. Campbell and
D. Maxow Calculation of the capacitance of a ring
capacitor of rectangular cross section
with no insulating gaps . . . . . . . . 137--142
P. M. Foster A nonfunctional method for reducing
cumulative or histogram data to a smooth
distributional form or for constructing
a smooth approximation to experimental
data . . . . . . . . . . . . . . . . . . 143--149
A. M. Lesk A FORTRAN program for the solution of
simultaneous linear Boolean inequalities
by the algorithm of Hammer and Rudeanu 150--152
T. L. Chow Solution by characteristics at fixed
time interval of the equations of one
dimensional unsteady flow . . . . . . . 153--170
E. R. Boyko and
B. J. Gilbert and
S. H. Puon An iterative solution to the second
order eigenvalue equation with periodic
boundary conditions . . . . . . . . . . 171--178
Gideon Zwas and
Joseph Roseman The effect of nonlinear transformations
on the computation of weak solutions . . 179--186
J. A. Viecelli The linear $Q$ and the calculation of
decaying spherical shocks in solids . . 187--201
D. J. Andrews and
Steven L. Hancock A relaxation method for solving
nonlinear stress equilibrium problems 202--209
A. J. Poggio and
E. K. Miller and
G. J. Burke An integro-differential equation
technique for the time-domain analysis
of thin-wire structures. II. Numerical
results . . . . . . . . . . . . . . . . 210--233
B. D. Nichols and
C. W. Hirt Calculating three-dimensional free
surface flows in the vicinity of
submerged and exposed structures . . . . 234--246
A. Bruce Langdon ''Energy-conserving'' plasma simulation
algorithms . . . . . . . . . . . . . . . 247--268
C. K. Forester A method of time-centering the
Lagrangian Marker particle computation 269--274
D. J. Andrews A numerical method for creep deformation
of solids . . . . . . . . . . . . . . . 275--279
P. K. Bandopadhyay Average electronic form factors for
neutral atoms with $40 < Z < 90$ . . . . . 280--284
David J. Kaup Optimum numerical calculation of JWKB
phase shifts . . . . . . . . . . . . . . 285--287
P. O. Esbjòrn and
E. J. Jensen and
W. D. Kristensen and
J. W. Martin and
L. B. Pedersen Entropy of fcc and hcp lattices:
Comparison of $H$ theorem method with
vibrational analysis . . . . . . . . . . 289--307
D. C. Bomberger and
M. D. Kostin A numerical method for calculating the
spatial distribution function of quantum
statistical thermodynamics . . . . . . . 308--314
J. Bitoun and
A. Nadeau and
J. Guyard and
M. R. Feix A computational procedure for high-order
adiabatic invariants . . . . . . . . . . 315--333
Melvin R. Scott An initial value method for the
eigenvalue problem for systems of
ordinary differential equations . . . . 334--347
James D. Bozeman and
Charles Dalton Numerical study of viscous flow in a
cavity . . . . . . . . . . . . . . . . . 348--363
Robert E. Kalaba and
Melvin R. Scott An initial value method for integral
operators: I-complex eigenvalues . . . . 364--368
M. J. Clauser Ellipsoidal coordinates --- a natural
coordinate system for calculations of
laser irradiations of slabs . . . . . . 369--388
A. Ahmad and
L. Cohen A numerical integration scheme for the
$N$-body gravitational problem . . . . . 389--402
Dominique Barth\`es-Biesel and
Andreas Acrivos On computer generated analytic solutions
to the equations of fluid mechanics. The
case of creeping flows . . . . . . . . . 403--411
H. Brunner The numerical solution of a class of
Abel integral equations by piecewise
polynomials . . . . . . . . . . . . . . 412--416
C. Isenberg A conjecture on the convergence of
numerical estimates for multidimensional
integrals with singular integrands . . . 417--421
Roland A. Sweet Direct methods for the solution of
Poisson's equation on a staggered grid 422--428
D. J. Jones Solution of Troesch's, and other, two
point boundary value problems by
shooting techniques . . . . . . . . . . 429--434
G. D. Mallinson and
G. de Vahl Davis The method of the false transient for
the solution of coupled elliptic
equations . . . . . . . . . . . . . . . 435--461
John D. Thomas and
H. Ralph Lewis and
K. J. Melendez Computation of Fourier integrals of
exponentials of truncated Fourier series 462--470
Esko Blokker Symmetry projection of crystal wave
functions by means of a computer . . . . 471--490
G. M. Crippen and
H. A. Scheraga Minimization of polypeptide energy XII.
The methods of partial energies and
cubic subdivision . . . . . . . . . . . 491--497
R. R. Doering and
A. I. Galonsky and
R. A. Hinrichs The numerical accuracy of $^3$ He
optical-model calculations at $70$ MeV 498--512
Melvyn Ciment and
Roland A. Sweet Mesh refinements for parabolic equations 513--525
R. S. Oberoi and
R. K. Nesbet Numerical asymptotic functions in
variational scattering theory . . . . . 526--533
S. Rajan A parallel algorithm for high subsonic
compressible flow over a circular
cylinder . . . . . . . . . . . . . . . . 534--552
John W. White A new form of artificial viscosity:
Postscript . . . . . . . . . . . . . . . 553--556
T. N. Chang and
Robert T. Poe On the evaluation of the principal value
integral in the scattering problems . . 557--560
J. P. Lavine A numerical aide in the location of
few-body bound states . . . . . . . . . 561--566
Anonymous Author index: Volume $12$ . . . . . . . 567--568
L. I. Ponomarev and
I. V. Puzynin and
T. P. Puzynina Continuous analog of Newton's method as
applied to the calculation of the
binding energy of mesic molecules . . . 1--14
G. I. Marchuk and
R. G. Gordeev and
V. Ya Rivkind and
B. A. Kagan A numerical method for the solution of
tidal dynamics equations and the results
of its application . . . . . . . . . . . 15--34
M. I. Darby and
N. Morton Numerical solutions for the nonlinear
penetration of magnetic flux into type
II superconductors . . . . . . . . . . . 35--44
Robert W. Atherton and
George M. Homsy Use of symbolic computation to generate
evolution equations and asymptotic
solutions to elliptic equations . . . . 45--58
J. R. Freeman A method for computing the transition
from ambipolar to free diffusion in a
decaying plasma . . . . . . . . . . . . 59--69
J. M. F. Chamayou Volterra's functional integral equations
of the statistical theory of damage . . 70--93
A. V. Ferris-Prabhu and
D. H. Withers Numerical analytic continuation using
Padé approximants . . . . . . . . . . . . 94--99
Jenö Gazdag Numerical convective schemes based on
accurate computation of space
derivatives . . . . . . . . . . . . . . 100--113
W. L. Kruer and
J. M. Dawson and
B. Rosen The dipole expansion method for plasma
simulation . . . . . . . . . . . . . . . 114--129
M. T. Sandford II and
R. C. Anderson Two-dimensional implicit radiation
hydrodynamics . . . . . . . . . . . . . 130--157
José Canosa Numerical solution of Landau's
dispersion equation . . . . . . . . . . 158--160
Bernard Kolman and
Robert E. Beck A stopping method for Racah's formulas 161--163
Georg Knorr Plasma simulation with few particles . . 165--180
Irvin Lindemuth and
John Killeen Alternating direction implicit
techniques for two-dimensional
magnetohydrodynamic calculations . . . . 181--208
G. J. Fix and
S. Gulati and
G. I. Wakoff On the use of singular functions with
finite element approximations . . . . . 209--228
J. D. Lyons and
R. K. Nesbet and
C. C. Rankini and
A. C. Yates Matrix variational method for
electron-atom scattering . . . . . . . . 229--259
J. F. Allard and
D. E. Medjadi and
B. Houssais and
M. Hadj Hassan Evaluation of nuclear potential matrix
elements in the deformed Cartesian basis 260--265
G. L. Payne and
L. Schlessinger Variational methods in a Harmonic
Oscillator basis . . . . . . . . . . . . 266--287
J. Surmont and
Y. M. Chen Numerical solutions of a nonlinear
radiative transfer equation with
inadequate data . . . . . . . . . . . . 288--302
D. A. H. Jacobs The strongly implicit procedure for
biharmonic problems . . . . . . . . . . 303--315
John Ll Morris and
Ian F. Nicoll Hopscotch methods for an anisotropic
thermal print head problem . . . . . . . 316--337
S. J. Mecca and
P. F. Yergin A method for reducing
bremsstrahlung-produced photoneutron
spectra to partial $(\gamma, n)$ cross
sections . . . . . . . . . . . . . . . . 338--347
Lowell D. Thomas Numerical solution of scattering
equations with nonlocal potentials . . . 348--362
I. P. Christiansen Numerical simulation of hydrodynamics by
the method of point vortices . . . . . . 363--379
José Canosa and
H. R. Penafiel Parallel shooting solution of the
neutron transport equation in spherical
geometry . . . . . . . . . . . . . . . . 380--397
Huw C. Davies On the initial-boundary value problem of
some geophysical fluid flows . . . . . . 398--422
Alexandre Joel Chorin and
Peter S. Bernard Discretization of a vortex sheet, with
an example of roll-up . . . . . . . . . 423--429
B. Quentrec and
C. Brot New method for searching for neighbors
in molecular dynamics computations . . . 430--432
Ayse Alaylio\uglu and
G. A. Evans and
J. Hyslop The evaluation of oscillatory integrals
with infinite limits . . . . . . . . . . 433--438
Randolph A. Graves, Jr. Partial implicitization . . . . . . . . 439--444
B. R. Johnson The multichannel log-derivative method
for scattering calculations . . . . . . 445--449
A. E. Fanning and
T. J. Mueller On the solution of a Neumann problem for
an inhomogeneous Laplace equation . . . 450--454
J. U. Brackbill and
W. E. Pracht An implicit, almost-Lagrangian algorithm
for magnetohydrodynamics . . . . . . . . 455--482
David E. Potter and
G. H. Tuttle The construction of discrete orthogonal
coordinates . . . . . . . . . . . . . . 483--501
Charlotte Froese Fischer The solution of Schrödinger's equation
for two-electron systems by an MCHF
procedure . . . . . . . . . . . . . . . 502--521
J. H. Chen Numerical boundary conditions and
computational modes . . . . . . . . . . 522--535
Eric J. Heller and
William P. Reinhardt and
Hashim A. Yamani On an ``equivalent quadrature''
calculation of matrix elements of $(z -
p^2 /2 m)^{-1}$ using an $L^2$ expansion
technique . . . . . . . . . . . . . . . 536--550
G. L. Kusic Self-consistent space-charge-flow using
integral equation field methods . . . . 551--568
John Zinn A finite difference scheme for
time-dependent spherical radiation
hydrodynamics problems . . . . . . . . . 569--590
Robert J. Hardy and
Ira W. Morrison and
Sudhir Bijanki Numerical methods for evaluating
integrals over first Brillouin zones of
cubic lattices . . . . . . . . . . . . . 591--610
V. Vojta Notes on the article ``Numerical Laplace
transform inversion of a function
arising in viscoelasticity'' . . . . . . 611--612
Anonymous Author index: Volume $13$ . . . . . . . 613--614
Georg Knorr and
Magdi Shoucri Plasma simulation as eigenvalue problem 1--7
W. Roger Briley Numerical method for predicting
three-dimensional steady viscous flow in
ducts . . . . . . . . . . . . . . . . . 8--28
Joseph B. Webster III and
Brian G. Stephan and
Charles J. Bridgman Legendre polynomial expansion for the
Klein--Nishina formula for nonstationary
electrons . . . . . . . . . . . . . . . 29--39
Richard C. Allen, Jr. and
G. Milton Wing An invariant imbedding algorithm for the
solution of inhomogeneous linear
two-point boundary value problems . . . 40--58
W. C. Overton, Jr. and
A. F. Schuch A uniform vector distribution for
accurate spatial integration . . . . . . 59--83
Magdi Shoucri and
Georg Knorr Numerical integration of the Vlasov
equation . . . . . . . . . . . . . . . . 84--92
Steven A. Orszag and
Lance W. Jayne Local errors of difference
approximations to hyperbolic equations 93--103
Marcel Vinokur Conservation equations of gasdynamics in
curvilinear coordinate systems . . . . . 105--125
G. R. McGuire and
J. Ll Morris A class of implicit, second-order
accurate, dissipative schemes for
solving systems of conservation laws . . 126--147
R. W. Hockney and
S. P. Goel and
J. W. Eastwood Quiet high-resolution computer models of
a plasma . . . . . . . . . . . . . . . . 148--158
R. F. Warming and
B. J. Hyett The modified equation approach to the
stability and accuracy analysis of
finite-difference methods . . . . . . . 159--179
H. H. Jaffé and
H. M. Chang and
C. A. Masmanidis The use of the CNDO method in
spectroscopy. X. The calculation of the
self-consistent doublet and triplet
states . . . . . . . . . . . . . . . . . 180--192
D. I. Brown and
S. J. Gitomer and
H. R. Lewis The two-stream instability studied with
four one-dimensional plasma simulation
models . . . . . . . . . . . . . . . . . 193--199
Liu Chen and
A. Bruce Langdon and
C. K. Birdsall Reduction of the grid effects in
simulation plasmas . . . . . . . . . . . 200--222
Robert Lynn Coldwell Correlational defects in the standard
IBM 360 random number generator and the
classical ideal gas correlation function 223--226
C. W. Hirt and
A. A. Amsden and
J. L. Cook An arbitrary Lagrangian--Eulerian
computing method for all flow speeds . . 227--253
George Delic The Legendre series and a quadrature
formula for its coefficients . . . . . . 254--268
Kenneth J. Miller Evaluation of atomic scattering
integrals by numerical techniques . . . 269--285
Phil Pendergast and
William H. Fink A thorough analysis and exposition of
the four-index transformation . . . . . 286--300
John A. Fox and
Anthony C. Hearn Analytic computation of some integrals
in fourth order quantum electrodynamics 301--317
M. P. Ekstrom and
R. L. Rhoads On the application of eigenvector
expansions to numerical deconvolution 319--340
M. Guy Feler Calculation of Eigenvectors of Large
Matrices . . . . . . . . . . . . . . . . 341--349
Richard P. Kenan and
Paul R. Sievert Numerical evaluation of the
free-electron lattice Green's function 350--360
Bram van Leer Towards the ultimate conservative
difference scheme. II. Monotonicity and
conservation combined in a second-order
scheme . . . . . . . . . . . . . . . . . 361--370
P. Cornille Numerical study of a cylindrical plasma
expansion in a magnetic field . . . . . 371--390
Paul Brumer Stability concepts in the numerical
solution of classical atomic and
molecular scattering problems . . . . . 391--419
Anonymous Author index: Volume $14$ . . . . . . . 420--421
D. A. Anderson A comparison of numerical solutions to
the inviscid equations of fluid motion 1--20
Frances Bauer and
Edward L. Reiss On the numerical solution of
two-dimensional elasticity problems . . 21--33
José Canosa and
Jenö Gazdag and
J. E. Fromm The recurrence of the initial state in
the numerical solution of the Vlasov
equation . . . . . . . . . . . . . . . . 34--45
Paul N. Swarztrauber The direct solution of the discrete
Poisson equation on the surface of a
sphere . . . . . . . . . . . . . . . . . 46--54
Harvard Lomax and
E. Dale Martin Fast direct numerical solution of the
nonhomogeneous Cauchy--Riemann equations 55--80
J. K. Cayford and
W. R. Fimple and
D. G. Unger A finite difference Newton--Raphson
solution of the atomic Hartree--Fock
problem . . . . . . . . . . . . . . . . 81--97
Bernard Rosen Automation of the derivation of
dispersion relations. I. Cold plasma
case . . . . . . . . . . . . . . . . . . 98--115
A. Miele and
A. K. Aggarwal and
J. L. Tietze Solution of two-point boundary-value
problems with Jacobian matrix
characterized by large positive
eigenvalues . . . . . . . . . . . . . . 117--133
Robert A. LaBudde and
Donald Greenspan Discrete mechanics --- a general
treatment . . . . . . . . . . . . . . . 134--167
T. Auerbach and
W. Hälg and
J. Mennig and
H. Beuchat Analytical solution in spherical
geometry of the monoenergetic $S_2$ and
$S_4$ differential equations, and of the
$S_n$ equations in vacuum . . . . . . . 168--187
John Ll Morris and
Ian F. Nicoll The efficient computation of the heat
distribution in a $5$ $\times$ $5$
matrix thermal print head . . . . . . . 188--199
T. R. Hill and
J. Kenneth Shultis and
J. O. Mingle Numerical evaluation of the azimuthally
dependent albedo problem in slab
geometry . . . . . . . . . . . . . . . . 200--211
J. P. Riehl and
D. J. Diestler and
Albert F. Wagner Comparison of perturbation and
direct-numerical-integration techniques
for the calculation of phase shifts for
elastic scattering . . . . . . . . . . . 212--225
Eli Turkel Phase error and stability of second
order methods for hyperbolic problems. I 226--250
David Gottlieb and
Eli Turkel Phase error and stability of second
order methods for hyperbolic problems.
II . . . . . . . . . . . . . . . . . . . 251--265
B. A. Howarth and
T. J. F. Pavlasek and
P. Silvester A graphical representation for
interpreting scalar wave
multiple-scattering phenomena . . . . . 266--285
John A. DeSanto and
Oved Shisha Numerical solution of a singular
integral equation in random rough
surface scattering theory . . . . . . . 286--292
J. C. Pirkle, Jr. and
T. O. Poehler and
V. G. Sigillito Numerical procedure for a pulsed
DF--CO$_2$ transfer laser . . . . . . . 293--298
Joe F. Thompson and
Frank C. Thames and
C. Wayne Mastin Automatic numerical generation of
body-fitted curvilinear coordinate
system for field containing any number
of arbitrary two-dimensional bodies . . 299--319
James C. S. Meng A study of convective heat transfer in a
supersonic recirculating flow region by
Telenin's method . . . . . . . . . . . . 320--344
David L. Hall and
Peter D. Usher Coordinate stretching and interface
location III. A general relaxation
method with application to composite
polytropes . . . . . . . . . . . . . . . 345--361
Michel O. Deville Numerical experiments on the MAC code
for a slow flow . . . . . . . . . . . . 362--374
M. F. Reis Numerical investigation of the
Friedrichs model dispersion relation . . 375--384
J. Pachner Numerical integration of exact
time-dependent Einstein equations with
axial symmetry. I . . . . . . . . . . . 385--412
J. A. Campbell and
William H. Jefferys Computation of a class of functions
useful in the phase-integral
approximation II. Performance of
TRIGMAN, SYMBAL, and LISP . . . . . . . 413--420
David Gottlieb On the stability of Rusanov's
third-order scheme . . . . . . . . . . . 421--426
Anonymous Announcement . . . . . . . . . . . . . . 427--427
M. Nallasamy and
K. Krishna Prasad Numerical studies on quasilinear and
linear elliptic equations . . . . . . . 429--448
J. Denavit Discrete particle effects in Whistler
simulation . . . . . . . . . . . . . . . 449--475
C. K. Chu and
Aron Sereny Boundary conditions in finite difference
fluid dynamic codes . . . . . . . . . . 476--491
Warwick D. Smith A nonreflecting plane boundary for wave
propagation problems . . . . . . . . . . 492--503
Brendan B. Godfrey Numerical Cherenkov instabilities in
electromagnetic particle codes . . . . . 504--521
Charles E. Reid Integrals of the resolvent of the
hydrogenic Hamiltonian over STO basis
functions . . . . . . . . . . . . . . . 522--528
M. Janssens and
E. De Vos Generation technique for chains on
lattices in computer experiments . . . . 529--532
Anonymous Author index . . . . . . . . . . . . . . 533--534
Francis H. Harlow and
Anthony A. Amsden Multifluid flow calculations at all Mach
numbers . . . . . . . . . . . . . . . . 1--19
H. H. Jaffé and
R. L. Ellis A treatment of symmetry in MO
calculations . . . . . . . . . . . . . . 20--31
Robert K.-C Chan A discretized solution for the solitary
wave . . . . . . . . . . . . . . . . . . 32--48
D. W. Hewett Numerical simulation of a radially
inhomogeneous cylindrical plasma . . . . 49--65
W. P. Latham and
Rogers W. Redding On the calculation of the parabolic
cylinder functions . . . . . . . . . . . 66--75
G. Janin and
M. J. Haggerty Numerical experiments on expanding
gravitational systems . . . . . . . . . 76--92
R. J. Uncles Numerical approximation of the equations
describing a partially ionized plasma 93--118
John W. White A new form of artificial viscosity for
elastic solids . . . . . . . . . . . . . 119--126
Roland Maria-Sube Numerical solution to free surface
axisymmetric rotational flows . . . . . 127--149
F. Y. Hajj and
H. Kobeisse and
N. R. Nassif On the numerical solution of
Schrödinger's radial equation . . . . . . 150--159
Robert D. Cowan and
Joseph B. Mann Stabilization of solution of the
Hartree--Fock equations . . . . . . . . 160--166
L. L. Boyer Computerized group theory for lattice
dynamical problems . . . . . . . . . . . 167--185
R. Van Dooren Stabilization of Cowell's classical
finite difference method for numerical
integration . . . . . . . . . . . . . . 186--192
Anonymous Announcement . . . . . . . . . . . . . . 193--193
M-S Chen and
R. F. Peierls A mapping technique for efficient random
event generation with constraints . . . 195--220
M. H. Houston, Jr. and
J. Cl. De Bremaecker ADI solution of free convection in a
variable viscosity fluid . . . . . . . . 221--239
Gilbert H. Hoffman Extension of perturbation series by
computer: Viscous flow between two
infinite rotating disks . . . . . . . . 240--258
J. K. Cayford and
W. R. Fimple and
D. G. Unger and
S. P. White A finite-difference Newton--Raphson
solution of the two-center electronic
Schrödinger equation . . . . . . . . . . 259--270
V. E. Denny and
R. M. Clever Comparisons of Galerkin and finite
difference methods for solving highly
nonlinear thermally driven flows . . . . 271--284
S. M. Roberts and
J. S. Shipman An iteration perturbation technique . . 285--297
John M. Gary On the optimal time step and
computational efficiency of difference
schemes for PDE . . . . . . . . . . . . 298--303
Richard S. Hirsh and
David H. Rudy The role of diagonal dominance and cell
Reynolds number in implicit difference
methods for fluid mechanics problems . . 304--310
Raymond C. Y. Chin Notes on the article ``Local errors of
difference approximations to hyperbolic
equations'' . . . . . . . . . . . . . . 311--313
Charles G. Speziale and
Robert P. Kirchner On the use of the method of quadrature
by differentiation for solving
eigenvalue problems in hydrodynamic
stability . . . . . . . . . . . . . . . 315--323
J. A. Fleck, Jr. A cubic spline method for solving the
wave equation of nonlinear optics . . . 324--341
J. W. Eastwood and
R. W. Hockney Shaping the force law in two-dimensional
particle-mesh models . . . . . . . . . . 342--359
B. E. McDonald Numerical calculation of nonunique
solutions of a two-dimensional
sinh-Poisson equation . . . . . . . . . 360--370
H. Cohen and
J. Ickovic Numerical treatment of singular integral
equations . . . . . . . . . . . . . . . 371--382
Dennis C. Jespersen Arakawa's method is a finite-element
method . . . . . . . . . . . . . . . . . 383--390
Stephen T. Elbert and
Ernest R. Davidson Evaluation of electron repulsion
integrals over Gaussian lobe basis
functions . . . . . . . . . . . . . . . 391--395
Kin-Chue Ng On the accuracy of numerical Fourier
transforms . . . . . . . . . . . . . . . 396--400
Anonymous Author index . . . . . . . . . . . . . . 401--401
H. R. Lewis and
C. W. Nielson A comparison of three two-dimensional
electrostatic plasma simulation models 1--9
A. B. Bortz and
M. H. Kalos and
J. L. Lebowitz A new algorithm for Monte Carlo
simulation of Ising spin systems . . . . 10--18
Francis H. Harlow and
Anthony A. Amsden Numerical calculation of multiphase
fluid flow . . . . . . . . . . . . . . . 19--52
R. Meyder Solving the conservation equations in
fuel rod bundles exposed to parallel
flow by means of curvilinear-orthogonal
coordinates . . . . . . . . . . . . . . 53--67
Yehuda Salu and
Georg Knorr Use of the spectral method for two- and
three-dimensional guiding center plasmas 68--78
Milan Kubícek and
Vladimír Hlavácek Direct evaluation of branching points
for equations arising in the theory of
explosions of solid explosives . . . . . 79--86
Ernest R. Davidson Note: The iterative calculation of a few
of the lowest eigenvalues and
corresponding eigenvectors of large
real-symmetric matrices . . . . . . . . 87--94
Milan Kubicek and
Vladimír Hlavácek Solution of Troesch's two-point boundary
value problem by shooting technique . . 95--101
J. L. Steger and
R. F. Warming On the convergence of certain
finite-difference schemes by an
inverse-matrix method . . . . . . . . . 103--121
Y. K. Ho and
B. A. P. Page Evaluation of some integrals required in
low-energy electron or positron-atom
scattering . . . . . . . . . . . . . . . 122--131
William E. Pracht Calculating three-dimensional fluid
flows at all speeds with an
Eulerian--Lagrangian computing mesh . . 132--159
V. Shankar and
D. Anderson and
P. Kutler Numerical solutions for supersonic
corner flow . . . . . . . . . . . . . . 160--180
Jimmie H. Smith Engineering applications of ADI methods
to piecewise linear multidimensional
heat transfer . . . . . . . . . . . . . 181--191
R. C. Grimm and
J. L. Johnson Fluid simulation of a low-pressure
axisymmetric toroidal plasma using
natural coordinates . . . . . . . . . . 192--208
Tzvi Gal-Chen and
Richard C. J. Somerville On the use of a coordinate
transformation for the solution of the
Navier--Stokes equations . . . . . . . . 209--228
G. Pantis The evaluation of integrals with
oscillatory integrands . . . . . . . . . 229--233
S. L. Smith and
C. A. Brebbia Finite-element solution of
Navier--Stokes equations for transient
two-dimensional incompressible flow . . 235--245
D. V. Anderson Axisymmetric multifluid simulation of
high beta plasmas with anisotropic
transport using a moving flux coordinate
grid . . . . . . . . . . . . . . . . . . 246--275
Tzvi Gal-Chen and
Richard C. J. Somerville Numerical solution of the Navier--Stokes
equations with topography . . . . . . . 276--310
Robert K.-C. Chan A generalized arbitrary
Lagrangian--Eulerian method for
incompressible flows with sharp
interfaces . . . . . . . . . . . . . . . 311--331
J. P. Christiansen and
K. V. Roberts Numerical treatment of rapid
equipartition rates . . . . . . . . . . 332--339
L. Bellomonte Calculation of the Coulomb coefficients
and the Madelung constant in a
face-centered cubic crystal with
additional charges located along the
(100) direction . . . . . . . . . . . . 340--346
Anonymous Announcement . . . . . . . . . . . . . . 347--347
G. H. Golub and
L. Jenning and
W. H. Yang Waves in periodically structured media 349--357
Brian Martin Numerical representations which model
properties of the solution to the
diffusion equation . . . . . . . . . . . 358--383
L. D. Tolsma A fast method for nuclear
coupled-channels calculations including
Coulomb excitation . . . . . . . . . . . 384--400
L. A. Rowley and
D. Nicholson and
N. G. Parsonage Monte Carlo grand canonical ensemble
calculation in a gas-liquid transition
region for 12-6 Argon . . . . . . . . . 401--414
Gerald L. Carlson and
Lee G. Pedersen Extension of GAUSSIAN70 to any number of
atomic orbitals . . . . . . . . . . . . 415--419
Herbert E. Salzer Note on Laplace transforms of osculatory
and hyperosculatory interpolation
polynomials . . . . . . . . . . . . . . 420--424
Jay P. Boris and
Elaine S. Oran Numerical evaluation of oscillatory
integrals such as the modified Bessel
function $K_{i\zeta}(x)$ . . . . . . . . 425--433
J. F. Perkins Evaluation of a four-electron atomic
integral . . . . . . . . . . . . . . . . 434--436
R. B. Walker Rapid computation of rotation functions 437--439
C. Corradi On the solution of the
Ambartsumian--Chandrasekhar equation by
monotone iteration processes . . . . . . 440--445
Flavian Abramovici The accuracy of finite Fourier
transforms . . . . . . . . . . . . . . . 446--449
Arne Sundström Note on the paper ``Boundary conditions
in finite difference fluid dynamic
codes'' by C. K. Chu and Aron Sereny . . 450--454
Anonymous Author index . . . . . . . . . . . . . . 455--455
J. W. Eastwood Optimal particle-mesh algorithms . . . . 1--20
P. Jamet and
R. Bonnerot Numerical solution of the Eulerian
equations of compressible flow by a
finite element method which follows the
free boundary and the interfaces . . . . 21--45
P. K. G. Panikker and
Z. Lavan Flow past impulsively started bodies
using Green's functions . . . . . . . . 46--65
E. L. Lindman ``Free-space'' boundary conditions for
the time dependent wave equation . . . . 66--78
Charles A. Hall and
Boris A. Mutafelija Transfinite interpolation of steam
tables . . . . . . . . . . . . . . . . . 79--91
Ian H. Sloan and
B. J. Burn and
N. Datyner A new approach to the numerical solution
of integral equations . . . . . . . . . 92--105
W. F. Cummins Computer processing of plasma
interferometer signals . . . . . . . . . 106--113
R. E. Knop Monte Carlo generation of two body
resonant states . . . . . . . . . . . . 115--118
Irvin R. Lindemuth Conservation form in computational
magnetohydrodynamics . . . . . . . . . . 119--131
R. L. Dewar and
J. M. Greene and
R. C. Grimm and
J. L. Johnson Numerical study of the
magnetohydrodynamic spectra in tokamaks
using Galerkin's method . . . . . . . . 132--153
Clive A. J. Fletcher and
Maurice Holt An improvement to the method of integral
relations . . . . . . . . . . . . . . . 154--164
C. E. Rathmann and
J. Denavit Simulation of collisional effects in
plasmas . . . . . . . . . . . . . . . . 165--187
S. Twomey Comparison of constrained linear
inversion and an iterative nonlinear
algorithm applied to the indirect
estimation of particle size
distributions . . . . . . . . . . . . . 188--200
Ed R. Smith A numerical approach to the solution of
coupled equations involved in
electron-ion and electron-atom
scattering problems . . . . . . . . . . 201--223
Gordon M. Crippen Global optimization and polypeptide
conformation . . . . . . . . . . . . . . 224--231
Raymond C. Y. Chin Dispersion and Gibbs phenomenon
associated with difference
approximations to initial boundary-value
problems for hyperbolic equations . . . 233--247
D. L. Book and
J. P. Boris and
K. Hain Flux-corrected transport II:
Generalizations of the method . . . . . 248--283
K. Appert and
D. Berger and
R. Gruber and
J. Rappaz A new finite element approach to the
normal mode analysis in
magnetohydrodynamics . . . . . . . . . . 284--299
M. Rosina and
C. Garrod The variational calculation of reduced
density matrices . . . . . . . . . . . . 300--310
K. T. R. Davies and
A. J. Sierk Calculation of Coulomb energies for
uniform charge distributions of
arbitrary shape . . . . . . . . . . . . 311--325
Walter J. Wnek and
Willard R. Haas The equivalence and numerical solution
of regression, optimal and boundary
value problems involving differential
equations . . . . . . . . . . . . . . . 326--341
P. Modrak On the low-temperature expansion of the
thermodynamical integral for fcc lattice 342--346
I. M. Longman and
D. Levin On the density distribution in a
self-gravitating liquid sphere of
constant compressibility . . . . . . . . 347--359
Louis B. Bushard Mathematical and numerical analysis of a
differential equation model for a gas
glow discharge . . . . . . . . . . . . . 360--375
U. Schumann Subgrid scale model for finite
difference simulations of turbulent
flows in plane channels and annuli . . . 376--404
Claus Borgnakke and
Poul S. Larsen Statistical collision model for Monte
Carlo simulation of polyatomic gas
mixture . . . . . . . . . . . . . . . . 405--420
D. Dietrich and
B. E. McDonald and
A. Warn-Varnas Optimized block-implicit relaxation . . 421--439
Francis H. Harlow and
Anthony A. Amsden Flow of interpenetrating material phases 440--464
U. Schumann Linear stability of finite difference
equations for three-dimensional flow
problems . . . . . . . . . . . . . . . . 465--470
Anonymous Author index for volume $18$ . . . . . . 471--471
T. Poston and
A. B. Budgor A geometrical approach to calculating
the energy and frequency spectra of
crystals . . . . . . . . . . . . . . . . 1--28
D. S. Watanabe A numerical method for the
time-dependent Krook kinetic equation 29--42
J. C. Eilbeck and
G. R. McGuire Numerical study of the regularized
long-wave equation I: Numerical methods 43--57
Brendan B. Godfrey Canonical momenta and numerical
instabilities in particle codes . . . . 58--76
Jeno Gazdag Numerical solution of the Vlasov
equation with the accurate space
derivative method . . . . . . . . . . . 77--89
Richard S. Hirsh Higher order accurate difference
solutions of fluid mechanics problems by
a compact differencing technique . . . . 90--109
Axel Rune Iterative eigenvalue algorithms based on
convergent splittings . . . . . . . . . 110--120
S. Alterovitz and
M. Gershenson A moments method applied to Laplace
transform technique for experimental
physics . . . . . . . . . . . . . . . . 121--133
Hirotada Abe and
Junichi Miyamoto and
Ryohei Itatani Grid effects on the plasma simulation by
the finite-sized particle . . . . . . . 134--149
H. McDonald and
W. R. Briley Three-dimensional supersonic flow of a
viscous or inviscid gas . . . . . . . . 150--178
L. C. Wellford, Jr. and
J. T. Oden Discontinuous finite-element
approximations for the analysis of shock
waves in nonlinearly elastic materials 179--210
James C. Cavendish Local mesh refinement using rectangular
blended finite elements . . . . . . . . 211--228
Joseph Roseman and
Gideon Zwas Nonlinear transformations and the
numerical treatment of shocks . . . . . 229--235
H. W. Crater and
G. W. Reddien Extrapolation of finite difference
approximations for bound state equations 236--240
M. S. Marinov and
V. S. Popov and
V. L. Stolin Variational approach to the relativistic
two-center problem: Critical
internuclear distance . . . . . . . . . 241--256
Robert L. Haney and
Julian M. Wright, Jr. The relationship between the grid size
and the coefficient of nonlinear lateral
eddy viscosity in numerical ocean
circulation models . . . . . . . . . . . 257--266
Charles H. Bennett Mass tensor molecular dynamics . . . . . 267--279
M. T. Sandford II and
R. C. Anderson and
H. G. Horak and
J. W. Kodis Improved, implicit radiation
hydrodynamics . . . . . . . . . . . . . 280--296
C. A. Hall and
J. J. Lowke A non-self-adjoint finite difference
model of electron diffusion parallel to
electric fields . . . . . . . . . . . . 297--310
J. P. Chiou and
T. Y. Na On the solution of Troesch's nonlinear
two-point boundary value problem using
an initial value method . . . . . . . . 311--316
Clive Temperton Algorithms for the solution of cyclic
tridiagonal systems . . . . . . . . . . 317--323
Nico M. Temme On the Numerical Evaluation of the
Modified Bessel Function of the Third
Kind . . . . . . . . . . . . . . . . . . 324--337
Anonymous Erratum . . . . . . . . . . . . . . . . 338--338
Liu Chen and
Hideo Okuda Theory of plasma simulation using
multipole-expansion scheme . . . . . . . 339--352
K. F. Klenk and
A. S. Kanofsky Evaluation of proton-proton elastic
scattering with quark hard cores using
Glauber and Monte Carlo methods . . . . 353--375
Thomas B. Gatski On the numerical modeling of an
Oldroyd-type constitutive equation . . . 376--389
J. Steppeller On a high accuracy finite difference
method . . . . . . . . . . . . . . . . . 390--403
E. M. Parmentier and
K. E. Torrance Kinematically consistent velocity fields
for hydrodynamic calculations in
curvilinear coordinates . . . . . . . . 404--417
R. A. Nicolaides On multiple grid and related techniques
for solving discrete elliptic systems 418--431
B. R. Vujisi\'c and
D. S. Pesi\'c A FORTRAN program for rotational
analysis of the spectra of diatomic
molecules . . . . . . . . . . . . . . . 432--434
Anonymous Author index for volume $19$ . . . . . . 435--435
Ian David Kane A numerical investigation into the
solution of the equations describing
baroclinic--barotropic instability in
the atmosphere . . . . . . . . . . . . . 1--21
Bernard Rosen Automation of the derivation of
dispersion relations: II. Higher order
dielectric functions in hot plasmas . . 22--32
Stephen Mudrick On the use of a scale-dependent filter
in channel model integrations . . . . . 33--49
G. W. Cunningham and
P. H. E. Meuer A comparison of two Monte Carlo methods
for computations in statistical
mechanics . . . . . . . . . . . . . . . 50--63
I. S. Greig and
J. Ll Morris A hopscotch method for the
Korteweg--de-Vries equation . . . . . . 64--80
Yu. Berezin and
V. A. Vshivkov On the firehose instability of Alfvén
waves . . . . . . . . . . . . . . . . . 81--96
Giulio Casati and
Joseph Ford Computer study of ergodicity and mixing
in a two-particle, hard point gas system 97--109
Mihaly Mezei and
Edwin S. Campbell A computational procedure for obtaining
the poles of a spherical harmonic of
order $N$: Application to the multipole
expansion of electrostatic interaction 110--116
Anonymous Announcement . . . . . . . . . . . . . . 117--117
F. H. Harlow and
A. A. Amsden and
J. R. Nix Relativistic fluid dynamics calculations
with the particle-in-cell technique . . 119--129
D. Beeman Some multistep methods for use in
molecular dynamics calculations . . . . 130--139
K. Srinivas and
J. Gururaja and
K. Krishna Prasad An assessment of the quality of selected
finite difference schemes for time
dependent compressible flows . . . . . . 140--159
L. G. Taff Numerical solution of the collisionless
Boltzmann equation for stellar systems 160--170
U. Schumann and
Roland A. Sweet A direct method for the solution of
Poisson's equation with Neumann boundary
conditions on a staggered grid of
arbitrary size . . . . . . . . . . . . . 171--182
L. I. Ponomarev and
L. N. Somov The wave functions of continuum for the
two-center problem in quantum mechanics 183--195
Jenö Gazdag Time-differencing schemes and transform
methods . . . . . . . . . . . . . . . . 196--207
Basil N. Antar On the solution of two-point linear
differential eigenvalue problems . . . . 208--219
Yong Woo Shin and
Richard A. Valentin Numerical analysis of fluid-hammer waves
by the method of characteristics . . . . 220--237
John A. Trapp and
John D. Ramshaw A simple heuristic method for analyzing
the effect of boundary conditions on
numerical stability . . . . . . . . . . 238--242
Shih-Yung Chang An algorithm for evaluation of
two-electron integrals by numerical
integration method . . . . . . . . . . . 243--247
Millard H. Alexander Stable solutions of the close-coupled
equations for ro-vibrationally inelastic
collisions . . . . . . . . . . . . . . . 248--250
Brendan B. Godfrey and
A. Bruce Langdon Stability of the Langdon--Dawson
advective algorithm . . . . . . . . . . 251--255
R. W. Redding and
W. P. Latham On the calculation of the parabolic
cylinder functions. II. The function
$V(a,x)$ . . . . . . . . . . . . . . . . 256--258
Jerrold S. Rosenbaum Conservation properties of numerical
integration methods for systems of
ordinary differential equations . . . . 259--267
John C. Chien A general finite-difference formulation
with application to Navier--Stokes
equations . . . . . . . . . . . . . . . 268--278
George N. Balanis Long wavelength approximations to
periodic elastic media and numerical
applications . . . . . . . . . . . . . . 279--297
Michael J. Antal and
Clarence E. Lee Charged particle mass and energy
transport in a thermonuclear plasma . . 298--312
W. Butscher and
W. E. Kammer Modification of Davidson's method for
the calculation of eigenvalues and
eigenvectors of large real-symmetric
matrices: ``root homing procedure'' . . 313--325
J. A. Maruhn and
T. A. Welton and
C. Y. Wong Remarks on the numerical solution of
Poisson's equation for isolated charge
distributions . . . . . . . . . . . . . 326--335
Sin-Chung Chang and
J. Kenneth Shultis Calculation of the asymptotic diffusion
lengths for highly anisotropic particle
transport . . . . . . . . . . . . . . . 336--345
J. N. Lyness Applications of extrapolation techniques
to multidimensional quadrature of some
integrand functions with a singularity 346--364
R. L. Coldwell and
M. A. Pokrant Least square regression with
multinomials of restricted amplitudes 365--371
F. A. Blood, Jr. Correlations in power residue generated
random numbers . . . . . . . . . . . . . 372--379
B. A. Hargrave Numerical approximation of eigenvalues
of Sturm--Liouville systems . . . . . . 381--396
J. P. Boris and
D. L. Book Flux-corrected transport. III.
Minimal-error FCT algorithms . . . . . . 397--431
Uzi Kaldor An algorithm for generating Goldstone
and Bloch--Brandow diagrams . . . . . . 432--441
Charles Quon A mixed spectral and finite difference
model to study baroclinic annulus waves 442--479
Herbert E. Salzer Inverse Laplace transforms of osculatory
and hyperosculatory interpolation
polynomials . . . . . . . . . . . . . . 480--491
Robert L. Pexton Application of Salzer's inverse Laplace
transform algorithm . . . . . . . . . . 492--494
V. B. Belyaev and
J. Wrzecionko and
M. I. Sakvarelidze and
A. T. Eliava Separable expansion of potential in
multidimensional space. Three-body
problem . . . . . . . . . . . . . . . . 495--501
Anonymous Author index for volume $20$ . . . . . . 502--502
A. Benson and
D. J. Evans Successive peripheral over-relaxation
and other block methods . . . . . . . . 1--19
M. S. Mock Time discretization of a nonlinear
initial value problem . . . . . . . . . 20--37
M. S. Stern Numerical evaluation of partial-wave
born approximations . . . . . . . . . . 38--54
Z. Popinski and
A. J. Baker An implicit finite-element algorithm for
the boundary layer equations . . . . . . 55--84
E. Turkel and
S. Abarbanel and
D. Gottlieb Multidimensional difference schemes with
fourth-order accuracy . . . . . . . . . 85--113
Edwin S. Campbell and
Mihaly Mezei Efficient construction of directional
derivatives of a function of a vector
magnitude and Maxwell's invariant
multipole form . . . . . . . . . . . . . 114--122
Robert P. Dickinson and
Robert J. Gelinas Sensitivity analysis of ordinary
differential equation systems --- a
direct method . . . . . . . . . . . . . 123--143
Harry F. King and
Michel Dupuis Numerical integration using Rys
polynomials . . . . . . . . . . . . . . 144--165
A. L. Schoenstadt and
R. T. Williams The computational stability properties
of the Shuman pressure gradient
averaging technique . . . . . . . . . . 166--177
Robert Piessens and
Maria Branders Numerical solution of integral equations
of mathematical physics, using Chebyshev
polynomials . . . . . . . . . . . . . . 178--196
I. L. Hawk and
D. L. Hardcastle Finite-difference solution to the
Schrödinger equation for the ground state
and first-excited state of helium . . . 197--207
W. H. Klink and
G. L. Payne Approximating with nonorthogonal basis
functions . . . . . . . . . . . . . . . 208--226
J. M. Haile and
D. Litchinsky and
R. McPherson and
C. G. Gray and
K. E. Gubbins Monte Carlo simulation of molecular
fluids on a minicomputer . . . . . . . . 227--237
M. Shoucri and
R. R. J. Gagne Numerical solution of the Vlasov
equation by transform methods . . . . . 238--242
Aivars Celmins Comment on ``The equivalence and
numerical solution of regression optimal
policy and boundary value problems
involving differential equations'' . . . 243--244
Thomas H. Johnson Failure testing: A proposal for
increasing confidence in the results of
numerical simulations . . . . . . . . . 245--250
I. Orlanski A simple boundary condition for
unbounded hyperbolic flows . . . . . . . 251--269
Yoshi Kazu Sasaki Variational design of finite-difference
schemes for initial value problems with
an integral invariant . . . . . . . . . 270--278
B. A. Troesch A simple approach to a sensitive
two-point boundary value problem . . . . 279--290
S. M. Roberts and
J. S. Shipman On the closed form solution of Troesch's
problem . . . . . . . . . . . . . . . . 291--304
Tatsuoki Takeda Numerical method for solution of the
integral equation of the first kind ---
Application to analysis of plasma
density profile . . . . . . . . . . . . 305--318
G. Hunter and
Mary Kuriyan Asymptotic expansions of Mathieu
functions in wave mechanics . . . . . . 319--325
Herbert L. Fox and
Richard Barakat Trace orthogonal Hermitian basis
matrices of arbitrary dimension . . . . 326--332
M. E. Hanson and
A. G. Petschek A boundary condition for significantly
reducing boundary reflections with a
Lagrangian mesh . . . . . . . . . . . . 333--339
Randolph A. Graves, Jr. Solutions to divergence form equations
using the method of partial
implicitization . . . . . . . . . . . . 340--342
Nico M. Temme On the numerical evaluation of the
ordinary Bessel function of the second
kind . . . . . . . . . . . . . . . . . . 343--350
Saul Abarbanel and
David Gottlieb A note on the leap-frog scheme in two
and three dimensions . . . . . . . . . . 351--355
R. Pifssens and
M. M. Cyiawla and
N. Jayarajan Gaussian quadrature formulas for the
numerical calculation of integrals with
logarithmic singularity . . . . . . . . 356--360
T. Howell and
J. N. Lyness On a conjecture in multidimensional
quadrature . . . . . . . . . . . . . . . 361--364
Bo Einarsson Use of Richardson extrapolation for the
numerical calculation of Fourier
transforms . . . . . . . . . . . . . . . 365--370
Dwayne L. Knirk Accurate and efficient quadrature for
Volterra integral equations . . . . . . 371--399
R. H. Miller Validity of disk galaxy simulations . . 400--437
John D. Ramshaw and
John A. Trapp A numerical technique for low-speed
homogeneous two-phase flow with sharp
interfaces . . . . . . . . . . . . . . . 438--453
Anonymous Author index for volume $21$ . . . . . . 454--454
Gh. Adam and
L. Gr. Ixaru and
A. Corciovei A first-order perturbative numerical
method for the solution of the radial
Schrödinger equation . . . . . . . . . . 1--33
I. M. Bassett and
B. R. E. Lederer and
G. C. Vorlicek A direct numerical approach to three
nucleon bound state problems . . . . . . 34--73
Robert K.-C Chan A second-order, time integration scheme
for calculating stratified
incompressible flows . . . . . . . . . . 74--86
Richard M. Beam and
R. F. Warming An implicit finite-difference algorithm
for hyperbolic systems in
conservation-law form . . . . . . . . . 87--110
C.-M Chu and
Herschel Weil Integral equation method for scattering
and absorption of electromagnetic
radiation by thin lossy dielectric discs 111--124
L. I. Ponomarev and
I. V. Puzynin and
T. P. Puzynina Continuous analog of Newton's method for
the calculation of quasibound states of
hydrogen $\mu$-molecules . . . . . . . . 125--130
John Gary The method of lines applied to a simple
hyperbolic equation . . . . . . . . . . 131--149
A. T. Filippov and
I. V. Puzynin and
Dmitrij P. Mavlo Numerical methods for solving some
singular boundary value problems of
quantum mechanics and quantum field
theory. I . . . . . . . . . . . . . . . 150--170
André Brahic Numerical simulation of a system of
colliding bodies in a gravitational
field . . . . . . . . . . . . . . . . . 171--188
Tateaki Sasaki Automatic generation of Feynman graphs
in QED . . . . . . . . . . . . . . . . . 189--214
Samuel Y. K. Yee An efficient method for a
finite-difference solution of the
Poisson equation on the surface of a
sphere . . . . . . . . . . . . . . . . . 215--228
Atuo Sato and
Erik G. Thompson Finite element models for creeping
convection . . . . . . . . . . . . . . . 229--244
Charles H. Bennett Efficient estimation of free energy
differences from Monte Carlo data . . . 245--268
Anonymous Meeting notice . . . . . . . . . . . . . 269--269
N. Mankoc-Borstnik and
M. V. Mihailovi\'c A method for the projection of angular
momentum . . . . . . . . . . . . . . . . 271--294
J. Steppeler The application of the second and third
degree methods . . . . . . . . . . . . . 295--318
T. R. Koehler and
P. A. Lee Efficient analysis of molecular dynamics
data . . . . . . . . . . . . . . . . . . 319--329
C. Z. Cheng and
Georg Knorr The integration of the Vlasov equation
in configuration space . . . . . . . . . 330--351
M. Blakemore and
G. A. Evans and
J. Hyslop Comparison of some methods for
evaluating infinite range oscillatory
integrals . . . . . . . . . . . . . . . 352--376
J. C. Heydweiller and
R. F. Sincovec A stable difference scheme for the
solution of hyperbolic equations using
the method of lines . . . . . . . . . . 377--388
D. G. Colomhant and
J. H. Gardner Shock wave propagation in an
inhomogeneous medium using finite
differences . . . . . . . . . . . . . . 389--395
I. Cohen Slowly pulsating axisymmetric systems in
general relativity . . . . . . . . . . . 396--402
Daniel T. Gillespie A general method for numerically
simulating the stochastic time evolution
of coupled chemical reactions . . . . . 403--434
W. R. Fimple and
B. J. McKenzie and
S. P. White A finite-difference Newton--Raphson
solution of the multiconfiguration
Hartree--Fock problem . . . . . . . . . 435--450
E. Kestemont and
J. Van Craen On the computation of correlation
functions in molecular dynamics
experiments . . . . . . . . . . . . . . 451--458
Charles Quon Diffusively induced boundary layers in a
tilted square cavity: A numerical study 459--485
D. C. L. Lam and
R. B. Simpson Centered differencing and the box scheme
for diffusion convection problems . . . 486--500
Hans Schamel and
Klaus Elsässer The application of the spectral method
to nonlinear wave propagation . . . . . 501--516
Alexandre Joel Chorin Random choice solution of hyperbolic
systems . . . . . . . . . . . . . . . . 517--533
Henry Brusset and
Domnaique Depeyre and
Jean-Pierre Petit and
François Haffner On the convergence of standard and
damped least squares methods . . . . . . 534--542
Anonymous Author index for volume $22$ . . . . . . 543--543
C. K. Forester Higher order monotonic convective
difference schemes . . . . . . . . . . . 1--22
A. A. Mirin and
J. Killeen and
K. D. Marx and
M. E. Rensink A radial transport/Fokker--Planck model
for a Tokamak plasma . . . . . . . . . . 23--41
S. B. Cox and
J. L. Fry Convergence of reciprocal-lattice sums:
Exact formulas for the Ewald method . . 42--52
R. Media and
R. B. Kellogg and
J. L. Stephenson Comparison of numerical methods for
renal network flows . . . . . . . . . . 53--62
J. C. Eilbeck and
G. R. McGuire Numerical study of the regularized
long-wave equation. II: Interaction of
solitary waves . . . . . . . . . . . . . 63--73
P. Hillion and
G. Nurdin Integration of highly oscillatory
functions . . . . . . . . . . . . . . . 74--81
Herbert E. Salzer A variable coefficient extension of a
formula for series conversion . . . . . 82--85
Jean-Pierre Matte and
Gaétan Lafrance Solution of the discrete Poisson
equation with complicated boundaries . . 86--91
A. Talmi and
G. Gilat Method for smooth approximation of data 93--123
James M. Hyman Mesh refinement and local inversion of
elliptic partial differential equations 124--134
Michael C. MacCracken and
Robert D. Bornstein On the treatment of advection in flux
formulations for variable grid models,
with application to two models of the
atmosphere . . . . . . . . . . . . . . . 135--149
A. Holas Numerical integration over the solid
angle and volume of the Brillouin zone 150--166
Rangarao V. Madala and
Steve A. Piacseki A semi-implicit numerical model for
baroclinic oceans . . . . . . . . . . . 167--178
Gary A. Sod Eigenvalues and eigenfunctions of the
Hilbert operator . . . . . . . . . . . . 179--186
G. M. Torrie and
J. P. Valleau Nonphysical sampling distributions in
Monte Carlo free-energy estimation:
Umbrella sampling . . . . . . . . . . . 187--199
J. Engels and
J. Fleischer Evaluation of phase-space volumes and
inclusive spectra in the uncorrelated
jet model . . . . . . . . . . . . . . . 200--217
Thomas H. Johnson and
John Killeen and
Oscar A. Anderson and
Marvin E. Rensink Guiding-center simulation of toroidal
plasmas . . . . . . . . . . . . . . . . 219--241
M. M. Shoucri and
R. R. T. Gagne A multistep technique for the numerical
solution of a two-dimensional Vlasov
equation . . . . . . . . . . . . . . . . 242--262
Bram Van Leer Towards the ultimate conservative
difference scheme III. Upstream-centered
finite-difference schemes for ideal
compressible flow . . . . . . . . . . . 263--275
Bram Van Leer Towards the ultimate conservative
difference scheme. IV. A new approach to
numerical convection . . . . . . . . . . 276--299
J. Busnardo-Neto and
P. L. Pritchett and
A. T. Lin and
J. M. Dawson A self-consistent magnetostatic particle
code for numerical simulation of plasmas 300--312
J.-A Désidéri and
J. C. Tannehill Over-relaxation applied to the
MacCormack finite-difference scheme . . 313--326
Jean-Paul Ryckaert and
Giovanni Ciccotti and
Herman J. C. Berendsen Numerical integration of the Cartesian
equations of motion of a system with
constraints: molecular dynamics of
$n$-alkanes . . . . . . . . . . . . . . 327--341
Tin-Kan Hung and
Thomas D. Brown An implicit finite-difference method for
solving the Navier--Stokes equation
using orthogonal curvilinear coordinates 343--363
Arthur L. Schoenstadt The effect of spatial discretization on
the steady-state and transient solutions
of a dispersive wave equation . . . . . 364--379
F. Milinazzo and
P. G. Saffman The calculation of large Reynolds number
two-dimensional flow using discrete
vortices with random walk . . . . . . . 380--392
José Canosa and
Jenö Gazdag The Korteweg--de Vries--Burgers equation 393--403
J. A. R. Coope and
D. W. Sabo A new approach to the determination of
several eigenvectors of a large
Hermitian matrix . . . . . . . . . . . . 404--424
John Reif and
Richard Barakat Numerical solution of the Fokker--Planck
equation via Chebyschev polynomial
approximations with reference to first
passage time probability density
functions . . . . . . . . . . . . . . . 425--445
W. E. Jones and
G. Matinopoulos and
J. S. Wasson The truncated Kullback statistic as an
objective function for fitting partially
known probability vectors . . . . . . . 446--451
Anonymous Erratum . . . . . . . . . . . . . . . . 452--452
Anonymous Author index for volume $23$ . . . . . . 453--453
Frank B. Lipps Inertial oscillations and the
DuFort--Frankel difference scheme . . . 1--9
Yves Adam Highly accurate compact implicit methods
and boundary conditions . . . . . . . . 10--22
Otis A. Farmer and
John D. Ramshaw A method for rapid attainment of the
steady state in two-dimensional
time-marching supersonic flow
calculations . . . . . . . . . . . . . . 23--28
Robert A. Dalrymple A numerical model for periodic finite
amplitude waves on a rotational fluid 29--42
Pierre Segur and
Robert Keller A numerical method of solution of the
Boltzmann equation in a weakly ionized
heterogeneous gas . . . . . . . . . . . 43--69
Robert T. Ross Steady state of stiff linear kinetic
systems by a Markov matrix method . . . 70--80
Sven-Åke Gustafson and
Staffan Lindahl Numerical computation of an integral
appearing in the Fröman--Fröman
phase-integral formula for calculation
of quantal matrix elements without the
use of wave functions . . . . . . . . . 81--95
Gordon M. Crippen A novel approach to calculation of
conformation: Distance geometry . . . . 96--107
David Degani and
Cham Gutfinger Three-dimensional low Reynolds number
flows with a free surface . . . . . . . 108--114
Anonymous Announcement . . . . . . . . . . . . . . 115--115
F. J. Helton and
R. L. Miller and
John M. Rawls Two-dimensional multi-fluid tokamak
transport code . . . . . . . . . . . . . 117--132
V. V. Vecheslavov and
N. I. Tolstobrova Analysis-of plane electrostatic fields
in doubly connected polygonal domains
using conformal mappings . . . . . . . . 133--140
David R. Stoutemyer Dimensional analysis, using computer
symbolic mathematics . . . . . . . . . . 141--149
John P. Valleau and
Stuart G. Whittington Monte Carlo in Statistical mechanics:
Choosing between alternative transition
matrices . . . . . . . . . . . . . . . . 150--157
James A. Dibiase and
John Killeen A numerical model for resistive
magnetohydrodynamic instabilities . . . 158--185
Terry L. Clark A small-scale dynamic model using a
terrain-following coordinate
transformation . . . . . . . . . . . . . 186--215
S. G. Rubin and
P. K. Khosla Polynomial interpolation methods for
viscous flow calculations . . . . . . . 217--244
Frank C. Thames and
Joe F. Thompson and
C. Wayne Mastin and
Ray L. Walker Numerical solutions for viscous and
potential flow about arbitrary
two-dimensional bodies using body-fitted
coordinate systems . . . . . . . . . . . 245--273
Joe F. Thompson and
Frank C. Thames and
C. Wayne Mastin TOMCAT --- a code for numerical
generation of boundary-fitted
curvilinear coordinate systems on fields
containing any number of arbitrary
two-dimensional bodies . . . . . . . . . 274--302
G. Wilks and
J. S. Bramley On the computation of eigenvalues
arising out of perturbations of the
Blasius profile . . . . . . . . . . . . 303--319
D. M. Sloan Eigenfunctions of systems of linear
ordinary differential equations with
separated boundary conditions using
Riccati transformations . . . . . . . . 320--330
A. Davey On the numerical solution of difficult
eigenvalue problems . . . . . . . . . . 331--338
P. S. Krishnaprasad and
Richard Barakat A descent approach to a class of inverse
problems . . . . . . . . . . . . . . . . 339--347
C. Z. Cheng The integration of the Vlasov equation
for a magnetized plasma . . . . . . . . 348--360
Franz J. Vesely $N$-particle dynamics of polarizable
Stockmayer-type molecules . . . . . . . 361--371
W. R. Briley and
H. McDonald Solution of the multidimensional
compressible Navier--Stokes equations by
a generalized implicit method . . . . . 372--397
Y. A. S. Aregbesola and
D. M. Burley The vector and scalar potential method
for the numerical solution of two- and
three-dimensional Navier--Stokes
equations . . . . . . . . . . . . . . . 398--415
W. J. Wiscombe and
J. W. Evans Exponential-sum fitting of radiative
transmission functions . . . . . . . . . 416--444
Réal R. J. Gagné and
Magdi M. Shoucri A splitting scheme for the numerical
solution of a one-dimensional Vlasov
equation . . . . . . . . . . . . . . . . 445--449
Rüdiger Amadori Correlational defects in the standard
IBM 360 random number generator and the
classical ideal gas correlation function 450--454
Kenneth Fox On recursion relations for rapid
computation of rotation functions . . . 455--455
Anonymous Author index for volume $24$ . . . . . . 456--456
Bengt Fornberg A numerical study of 2-D turbulence . . 1--31
A. H. Stroud Integration formulas for the wave
equation in $n$ space dimensions . . . . 32--55
M. S. Stern Comparison of numerical solutions of the
partial-wave Schrödinger differential and
integral equations . . . . . . . . . . . 56--70
R. A. James The solution of Poisson's equation for
isolated source distributions . . . . . 71--93
Magdi M. Shoucri and
Réal R. J. Gagné Numerical solution of a two-dimensional
Vlasov equation . . . . . . . . . . . . 94--103
Irvin R. Lindemuth A boundary condition for computational
magnetohydrodynamics . . . . . . . . . . 104--117
A. Sternlieb Initial noise and quiet start (Q.S.) in
electromagnetic particle simulation
codes . . . . . . . . . . . . . . . . . 118--132
C. Z. Cheng and
H. Okuda New three-dimensional simulation models
for cylindrical and toroidal plasmas . . 133--150
William J. Gordon and
Charles A. Hall Exact matching of boundary conditions
and incorporation of semiquantitative
solution characteristics in initial
approximations to boundary value
problems . . . . . . . . . . . . . . . . 151--162
R. Bonnerot and
P. Jamet Numerical computation of the free
boundary for the two-dimensional Stefan
problem by space-time finite elements 163--181
Pedro de A. P. Martins Recurrence formulas for phases and
amplitudes of spherical function of a
free wave . . . . . . . . . . . . . . . 182--193
Pedro de A. P. Martins Determination of spherical Bessel
functions of an order larger than the
argument . . . . . . . . . . . . . . . . 194--198
R. R. Sharma and
Bahman Zohuri A general method for an accurate
evaluation of exponential integrals
$E_1(x), x > 0$ . . . . . . . . . . . . . 199--204
Tomonor Takizuka and
Hirotada Abe A binary collision model for plasma
simulation with a particle code . . . . 205--219
Charles S. Peskin Numerical analysis of blood flow in the
heart . . . . . . . . . . . . . . . . . 220--252
Alexandre Joel Chorin Random choice methods with applications
to reacting gas flow . . . . . . . . . . 253--272
Chester E. Grosch and
Steven A. Orszag Numerical solution of problems in
unbounded regions: Coordinate transforms 273--295
Steven Jay Harrington and
Alistair D. C. Holden Automation of the nonrelativistic
$\phi^3$ field theory in two spatial
dimensions . . . . . . . . . . . . . . . 296--313
Stig Flodmark Symmetry transformation of crystal wave
functions . . . . . . . . . . . . . . . 314--318
Robert B. Wilhelmson and
James H. Ericksen Direct solutions for Poisson's equation
in three dimensions . . . . . . . . . . 319--331
John R. Freeman and
Samuel L. Thompson Numerical methods for studying
compressed magnetic field generators . . 332--352
G. A. Bird Direct molecular simulation of a
dissociating diatomic gas . . . . . . . 353--365
Y. M. Chen and
D. S. Tsien A numerical algorithm for remote sensing
of density profiles of a simple ocean
model by acoustic pulses . . . . . . . . 366--385
Kenneth Fox and
Burton J. Krohn Computation of cubic harmonics . . . . . 386--408
Anonymous Author index for volume $25$ . . . . . . 409--409
R. I. Cukier and
H. B. Levine and
K. E. Shuler Nonlinear sensitivity analysis of
multiparameter model systems . . . . . . 1--42
David S. Kershaw The incomplete Cholesky-conjugate
gradient method for the iterative
solution of systems of linear equations 43--65
L. A. Rowley and
D. Nicholson and
N. G. Parsonage Long-range corrections to grand
canonical ensemble Monte Carlo
calculations for adsorption systems . . 66--79
Masao Okamoto and
Tsuneo Amano A method to solve the impurity diffusion
equation with ionization and
recombination source terms . . . . . . . 80--86
Hans Wengle and
John H. Seinfeld Pseudospectral solution of atmospheric
diffusion problems . . . . . . . . . . . 87--106
Alan L. Andrew Convergence of an iterative method for
derivatives of eigensystems . . . . . . 107--112
John C. Adams FORTRAN subprograms for
finite-difference formulas . . . . . . . 113--116
Anonymous Announcement . . . . . . . . . . . . . . 117--117
L. L. Carter and
H. G. Horak and
M. T. Sandford II An adjoint Monte Carlo treatment of the
equations of radiative transfer for
polarized light . . . . . . . . . . . . 119--138
W. W. Lee and
H. Okuda A simulation model for studying
low-frequency microinstabilities . . . . 139--152
K. E. Barrett A variational principle for the stream
function-vorticity formulation of the
Navier--Stokes equations incorporating
no-slip conditions . . . . . . . . . . . 153--161
S. H. Chang and
J. T. Day On the numerical solution of a certain
nonlinear integro-differential equation 162--168
M. Friedman and
Y. Rosenfeld and
A. Rabinovitch and
R. Thieberger Finite element method for solving the
two-dimensional Schrödinger equation . . 169--180
David Gottlieb and
Eli Turkel Boundary conditions for multistep
finite-difference methods for
time-dependent equations . . . . . . . . 181--196
S. B. Pope The calculation of turbulent
recirculating flows in general
orthogonal coordinates . . . . . . . . . 197--217
Larry E. McMurchie and
Ernest R. Davidson One- and two-electron integrals over
Cartesian Gaussian functions . . . . . . 218--231
S. Haridoss Simulation of thermoluminescence and
thermally stimulated currents . . . . . 232--235
Phil Pendergast and
Edward F. Hayes A partial transformation for application
to perturbation theory configuration
interaction . . . . . . . . . . . . . . 236--242
Robert R. Lucchese and
Bernard R. Brooks and
James H. Meadows and
William C. Swope and
Henry F. Schaefer III BERKELEY: An ``open ended''
Configuration Interaction (CI) program
designed for minicomputers . . . . . . . 243--251
David Gottlieb and
Eli Turkel On acceleration of MacCormack's scheme 252--256
Harold Cohen Accurate numerical solutions of integral
equations with kernels containing poles 257--276
H. G. Horak and
E. M. Jones and
J. W. Kodis and
M. T. Sandford II An algorithm for the discrete rezoning
of Lagrangian meshes . . . . . . . . . . 277--284
J. Crank and
R. M. Furzeland The numerical solution of elliptic and
parabolic partial differential equations
with boundary singularities . . . . . . 285--296
Leif Holmlid and
Kjell Rynefors Uniformity of congruential pseudorandom
number generators. Dependence on length
of number sequence and resolution . . . 297--306
Peter R. Eiseman A coordinate system for a viscous
transonic cascade analysis . . . . . . . 307--338
John Gary On boundary conditions for hyperbolic
difference schemes . . . . . . . . . . . 339--351
R. N. Byrne and
H. H. Klein G2M, a two-dimensional diffusion time
scale tokamak code . . . . . . . . . . . 352--378
R. Gruber Finite hybrid elements to compute the
ideal magnetohydrodynamic spectrum of an
axisymmetric plasma . . . . . . . . . . 379--389
D. R. Liles and
Wm. H. Reed A semi-implicit method for two-phase
fluid dynamics . . . . . . . . . . . . . 390--407
C. E. Rathmann and
J. L. Vomvoridis and
J. Denavit Long-time-scale simulation of resonant
particle effects in Langmuir and
Whistler waves . . . . . . . . . . . . . 408--442
D. A. Hitchcock and
S. H. Brecht and
W. Horton, Jr. Note: an improved polynomial
representation for the delta function,
$\delta(\mu - \mu_0)$ . . . . . . . . . 443--446
K. B. Winterbon Note: Comment on ``Comparison of some
methods for evaluating infinite range
oscillatory integrals'' . . . . . . . . 447--448
G. M. Crippen Note: Rapid calculation of coordinates
from distance matrices . . . . . . . . . 449--452
Alexandre J. Chorin Note: A comment on the paper ``The
calculation of large Reynolds number
flow using discrete vortices with random
walk'' by F. Milinazzo and P. G. Saffman 453--454
P. G. Saffman Reply to comment by A. J. Chorin . . . . 455--456
Anonymous Author index for volume $26$ . . . . . . 457--457
Gary A. Sod A survey of several finite difference
methods for systems of nonlinear
hyperbolic conservation laws . . . . . . 1--31
J. H. Whealton and
E. F. Jaeger and
J. C. Whitson Optics of ion beams of arbitrary
perveance extracted from a plasma . . . 32--41
Thomas B. Gatski and
John L. Lumley Steady flow of a non-Newtonian fluid
through a contraction . . . . . . . . . 42--70
Amiram Harten and
Shamir Efrony A partition technique for the solution
of potential flow problems by integral
equation methods . . . . . . . . . . . . 71--87
Keith H. Burrell NEUCG: A transport code for hydrogen
atoms in cylindrical hydrogenic plasmas 88--102
F. Walkden and
P. Caine and
G. T. Laws A locally two-dimensional numerical
method for calculating three-dimensional
supersonic flows . . . . . . . . . . . . 103--122
A. M. Davies The use of the Galerkin method with a
basis of ${B}$-splines for the solution
of the one-dimensional primitive
equations . . . . . . . . . . . . . . . 123--137
F. Thiele Accurate numerical solutions of boundary
layer flows by the finite-difference
method of Hermitian type . . . . . . . . 138--159
John A. Pople and
Warren J. Hehre Computation of electron repulsion
integrals involving contracted Gaussian
basis functions . . . . . . . . . . . . 161--168
L. Wolniewicz and
T. Orlikowski On the numerical integration of the
Schrödinger equation with a
double-minimum potential . . . . . . . . 169--179
Bernhard Steffen A numerical method for the evaluation of
an equilibrium configuration of a
toroidal pinch . . . . . . . . . . . . . 180--191
G. Peter Lepage A new algorithm for adaptive
multidimensional integration . . . . . . 192--203
Patrick J. Roache A pseudo-spectral FFT technique for
non-periodic problems . . . . . . . . . 204--220
Charlotte Froese Fischer Numerical solution of general
Hartree--Fock equations for atoms . . . 221--240
G. J. Pert Algorithms for the calculation of
ionization in rapidly changing plasmas 241--255
E. Huntley and
W. M. Pickering and
A. S. I. Zinober The numerical solution of linear
time-dependent partial differential
equations by the Laplace and fast
Fourier transforms . . . . . . . . . . . 256--271
R. Car and
G. Ciucci and
L. Quartapelle High-resolution and efficient
calculation of photoelectric spectra of
crystals . . . . . . . . . . . . . . . . 272--283
Jet Wimp The computation of Borel-type sums
arising in scattering theory . . . . . . 284--290
Spotswood D. Stoddard Identifying clusters in computer
experiments on systems of particles . . 291--293
Björn Engquist and
Bertil Gustafsson and
Joop Vreeburg Numerical solution of a PDE system
describing a catalytic converter . . . . 295--314
Magdi M. Shoucri and
Real R. J. Gagné Splitting schemes for the numerical
solution of a two-dimensional Vlasov
equation . . . . . . . . . . . . . . . . 315--322
E. N. Houstis and
R. E. Lynch and
J. R. Rice and
T. S. Papatheodorou Evaluation of numerical methods for
elliptic partial differential equations 323--350
C. M. Ablow and
S. Schechter Campylotropic coordinates . . . . . . . 351--362
J. A. Byers and
B. I. Cohen and
W. C. Condit and
J. D. Hanson Hybrid simulations of quasineutral
phenomena in magnetized plasma . . . . . 363--396
Richard B. Larson A finite-particle scheme for
three-dimensional gas dynamics . . . . . 397--409
Stephen B. Margolis Time-dependent solution of a premixed
laminar flame . . . . . . . . . . . . . 410--427
Alexandre Joel Chorin Vortex sheet approximation of boundary
layers . . . . . . . . . . . . . . . . . 428--442
E. R. Boyko and
Peter J. Nassiff and
J. C. Pezzullo Integration weights for experimental
data . . . . . . . . . . . . . . . . . . 443--446
C. Hunter Some extensions of the Lax--Wendroff
method . . . . . . . . . . . . . . . . . 447--452
Anonymous Author index for volume $27$ . . . . . . 453--453
M. S. Chance and
J. M. Greene and
R. C. Grimm and
J. L. Johnson and
J. Manickam and
W. Kerner and
D. Berger and
L. C. Bernard and
R. Gruber and
F. Troyon Comparative numerical studies of ideal
magnetohydrodynamic instabilities . . . 1--13
V. A. Patel Kármán vortex street behind a circular
cylinder by the series truncation method 14--42
M. H. Hughes and
D. E. Post A Monte Carlo algorithm for calculating
neutral gas transport in cylindrical
plasmas . . . . . . . . . . . . . . . . 43--55
G. J. Lastman and
R. A. Wentzell and
A. C. Hindmarsh Numerical solution of a bubble
cavitation problem . . . . . . . . . . . 56--64
M. A. K. Lodhi and
B. T. Waak Semiempirical formulas for
single-particle energies of neutrons and
protons . . . . . . . . . . . . . . . . 65--81
Cleve B. Moler and
G. W. Stewart On the Householder--Fox Algorithm for
Decomposing a Projection . . . . . . . . 82--91
J. L. Finney Long-range forces in molecular dynamics
calculations on water . . . . . . . . . 92--102
Anders Sköllermo and
Gunilla Sköllermo A Fourier analysis of some difference
schemes for the Laplace equation in a
system of rotational symmetry . . . . . 103--114
J. G. Cordey and
K. D. Marx and
M. G. McCoy and
A. A. Mirin and
M. E. Rensink A new expansion method for computing
$\bar{\sigma \nu}$ for reactant
distribution functions . . . . . . . . . 115--121
M. S. Stern Application of the EI-Gendi method to
the Schrödinger integral equation . . . . 122--128
Menachem Dishon and
George H. Weiss Numerical inversion of Mellin and
two-sided Laplace transforms . . . . . . 129--132
Anonymous List of forthcoming articles . . . . . . 133--134
Melvyn Ciment and
Stephen H. Leventhal and
Bernard C. Weinberg The operator compact implicit method for
parabolic equations . . . . . . . . . . 135--166
Anil K. Jain and
Robert A. Padgug Fast restoration of finite objects
degraded by finite PSF . . . . . . . . . 167--180
Gregory Kriegsmann and
Catiileen S. Morawetz Numerical solutions of exterior problems
with the reduced wave equation . . . . . 181--197
P. J. Mason and
R. I. Sykes A simple Cartesian model of boundary
layer flow over topography . . . . . . . 198--210
Yong Woo Shin and
Christian A. Kot Two-dimensional fluid-transient analysis
by the method of nearcharacteristics . . 211--231
Pierre Hillion Numerical solution of the Helmholtz
equation in optics . . . . . . . . . . . 232--252
George J. Fix and
Samuel P. Marin Variational methods for underwater
acoustic problems . . . . . . . . . . . 253--270
Walter Strauss and
Luis Vazquez Numerical solution of a nonlinear
Klein--Gordon equation . . . . . . . . . 271--278
J. P. Christiansen and
K. V. Roberts Exact magnetic energy conservation on a
nonuniform mesh . . . . . . . . . . . . 279--286
Toshhide Tsunematsu and
Tatsuoki Takeda A new iterative method for solution of a
large-scale general eigenvalue problem 287--293
Anonymous Announcement . . . . . . . . . . . . . . 294--295
Anonymous List of forthcoming articles . . . . . . 296--296
S. C. R. Dennis and
S. N. Singh Calculation of the flow between two
rotating spheres by the method of series
truncation . . . . . . . . . . . . . . . 297--314
Sin-i Cheng and
Gregory Shubin Computational accuracy and mesh Reynolds
number . . . . . . . . . . . . . . . . . 315--326
David C. Carey and
Daniel Druard Monte Carlo phase space with limited
transverse momentum . . . . . . . . . . 327--356
Fred Gelbard and
John H. Seinfeld Numerical solution of the dynamic
equation for particulate systems . . . . 357--375
J. A. Hendry and
M. A. Hennell The global element method applied to a
discontinuous nuclear potential . . . . 376--394
Daniel T. Gillespie Monte Carlo simulation of random walks
with residence time dependent transition
probability rates . . . . . . . . . . . 395--407
J. C. Whitson and
J. Smith and
J. H. Whealton Calculations involving ion beam source 408--415
Deborah A. Levin and
Arne W. Fluflet and
Michael Ma and
Vincent McKoy Gaussian matrix elements of the
free-particle Green's function . . . . . 416--425
J. L. Friar A note on the roundoff error in the
Numerov algorithm . . . . . . . . . . . 426--432
J. C. Wilson A note on the leap frog schemes in any
number of space variables . . . . . . . 433--436
H. R. Strauss An artificial viscosity for
two-dimensional hydrodynamics . . . . . 437--438
Anonymous Errata . . . . . . . . . . . . . . . . . 439--440
Anonymous List of forthcoming articles . . . . . . 441--441
Anonymous Author index for volume $28$ . . . . . . 442--442
Shih-Yu Tuann and
Mervyn D. Olson Review of computing methods for
recirculating flows . . . . . . . . . . 1--19
David G. Korn Numerical design of transonic cascades 20--34
James D. Talman Numerical Fourier and Bessel transforms
in logarithmic variables . . . . . . . . 35--48
Richard A. Ward Numerical calculation of the limiting
properties of Coulomb excitation
functions . . . . . . . . . . . . . . . 49--66
Charles K. Westbrook A generalized ICE method for chemically
reactive flows in combustion systems . . 67--80
Witold Brostow and
Jean-Pierre Dussault and
Bennett L. Fox Construction of Voronoi polyhedra . . . 81--92
T. S. Wang and
D. Dobrott Suppression of inherent instabilities in
initial value methods . . . . . . . . . 93--100
S. C. Jardin and
J. L. Johnson and
J. M. Greene and
R. C. Grimm Dynamical grid method for time-dependent
simulations of axisymmetric
instabilities in tokamaks . . . . . . . 101--126
S. N. Stuart Depolarization correction for Coulomb
lattice sums . . . . . . . . . . . . . . 127--132
J. A. Gregory and
D. Fishelov and
B. Schiff and
J. R. Whiteman Local mesh refinement with finite
elements for elliptic problems . . . . . 133--140
L. D. Cloutman and
L. W. Fullerton Automated computation of modified
equations . . . . . . . . . . . . . . . 141--144
Anonymous Erratum . . . . . . . . . . . . . . . . 145--145
Anonymous List of forthcoming articles . . . . . . 146--146
M. Gaster Series representation of the eigenvalues
of the Orr--Sommerfeld equation . . . . 147--162
C. Taylor and
T. G. Hughes and
K. Morgan Finite element solution of one-equation
models of turbulent flow . . . . . . . . 163--172
C. Weiland Calculation of three-dimensional
stationary supersonic flow fields by
applying the ``progonka'' process to a
conservative formulation of the
governing equations . . . . . . . . . . 173--198
Robert R. Birge and
Lynn M. Hubbard Eigenvector eigenvalue theory: The
diagonalization of symmetric matrices
using a least-squares optimized
threshold method . . . . . . . . . . . . 199--207
Raanan Liebermann Traces of high-energy processes in
strong magnetic fields . . . . . . . . . 208--218
D. W. Hewett and
C. W. Nielson A multidimensional quasineutral plasma
simulation model . . . . . . . . . . . . 219--236
G. E. Murch and
R. J. Thorn Petit and grand ensemble Monte Carlo
calculations of the thermodynamics of
the lattice gas . . . . . . . . . . . . 237--244
Richard A. Morrow Algorithm for the numerical evaluation
of the $n$-particle relativistic phase
space integral in invariant variables 245--269
Richard C. Shockley Numerical instability due to the Lorentz
force in a relativistic fluid,
laser-plasma code . . . . . . . . . . . 270--277
A. O. Caride and
S. I. Zanette and
H. A. Farach Recursion relations for the group SU (2) 278--282
Paul-Rolf Preussner Time-dependent ionization . . . . . . . 283--288
I. Cohen and
S. Yu Slavyanov Smooth perturbations of the Schrödinger
equation related to the charmonium
models . . . . . . . . . . . . . . . . . 289--294
Oscar Buneman Diagnosing oscillatory growth or decay 295--296
Mihaly Mezei and
Edwin S. Campbell Computer algorithms and programs for
permanent multipole and induced dipole
interaction energies and dipole vectors
in crystals . . . . . . . . . . . . . . 297--301
T. R. Jenkins On computing the integral of glow curve
theory . . . . . . . . . . . . . . . . . 302--305
Paul B. Bailey A slightly modified Prüfer transformation
useful for calculating Sturm--Liouville
eigenvalues . . . . . . . . . . . . . . 306--310
Anonymous List of forthcoming articles . . . . . . 311--312
Bruce A. Bolt and
Dan Loewenthal Memorial biography [for Professor Zipora
Alterman] . . . . . . . . . . . . . . . ii + 313--317
Jacob Aboudi A numerical solution to the problem of
dynamic indentation of an elastic plate
by a rigid punch . . . . . . . . . . . . 318--327
F. Abramovici A generalization of the Cagniard method 328--343
Markus Båth Structural and vibrational bedrock
properties in Sweden . . . . . . . . . . 344--356
Bruce A. Bolt Summary value smoothing of physical time
series with unequal intervals . . . . . 357--369
Anthony F. Gangi and
Robert L. Wesson $P$-Wave to Rayleigh-wave conversion
coefficients for wedge corners; model
experiments . . . . . . . . . . . . . . 370--388
Almoga Ilan Stability of finite difference schemes
for the problem of elastic wave
propagation in a quarter plane . . . . . 389--403
N. Jobert Contribution of some particularities in
the dispersion curves to numerical
seismograms computed by normal modes . . 404--411
E. R. Lapwood and
Ryosuke Sato The pattern of eigenfrequencies of
overtones of torsional oscillations of a
layered spherical shell . . . . . . . . 412--420
Enders A. Robinson and
Dan Loewenthal and
Sven Treitel Numerical testing of minimum-delay,
positive-real, and positive-definite
digital filters . . . . . . . . . . . . 421--430
T. Odaka and
T. Usami Some properties of spheroidal modes of a
homogeneous elastic sphere with special
reference to radial dependence of
displacement . . . . . . . . . . . . . . 431--445
Anonymous List of forthcoming articles . . . . . . 446--446
Anonymous Author index for volume $29$ . . . . . . 447--447
Thomas J. R. Hughes and
Wing Kam Liu and
Alec Brooks Finite element analysis of
incompressible viscous flows by the
penalty function formulation . . . . . . 1--60
H. Bruce Stewart Calculation of transient boiling flow in
channels . . . . . . . . . . . . . . . . 61--75
Katuhiko Goda A multistep technique with implicit
difference schemes for calculating two-
or three-dimensional cavity flows . . . 76--95
Norman J. Zabusky and
M. H. Hughes and
K. V. Roberts Contour dynamics for the Euler equations
in two dimensions . . . . . . . . . . . 96--106
H. J. Haussling Boundary-fitted coordinates for accurate
numerical solution of multibody flow
problems . . . . . . . . . . . . . . . . 107--124
B. S. Ng and
W. H. Reid An initial value method for eigenvalue
problems using compound matrices . . . . 125--136
A. Davey On the removal of the singularities from
the Riccati method . . . . . . . . . . . 137--144
David M. Burridge and
Clive Temperton A fast Poisson-solver for large grids 145--148
Anonymous Announcements . . . . . . . . . . . . . 149--150
Anonymous List of forthcoming articles . . . . . . 151--151
Paul Concus and
W\lodzimierz Proskurowski Numerical solution of a nonlinear
hyperbolic equation by the random choice
method . . . . . . . . . . . . . . . . . 153--166
Dale B. Haidvogel and
Thomas Zang The accurate solution of Poisson's
equation by expansion in Chebyshev
polynomials . . . . . . . . . . . . . . 167--180
Michel Bercovier and
Michael Engelman A finite element for the numerical
solution of viscous incompressible flows 181--201
A. Bruce Langdon Analysis of the time integration in
plasma simulation . . . . . . . . . . . 202--221
G. W. Hedstrom Nonreflecting boundary conditions for
nonlinear hyperbolic systems . . . . . . 222--237
Bernard Rosen and
Herbert Tesser Automated calculation of parametric
instabilities in fluid plasmas . . . . . 238--249
N. Agmon and
Y. Alhassid and
R. D. Levine An algorithm for finding the
distribution of maximal entropy . . . . 250--258
Masato Koda and
Ali H. Dogru and
John H. Seinfeld Sensitivity analysis of partial
differential equations with application
to reaction and diffusion processes . . 259--282
H. M. Antia Finite-difference method for generalized
eigenvalue problem in ordinary
differential equations . . . . . . . . . 283--295
D. M. Sloan and
J. S. Bramley Note on the Riccati method for
differential eigenvalue problems of odd
order . . . . . . . . . . . . . . . . . 296--305
Anonymous List of forthcoming articles . . . . . . 306--307
Pericles S. Theocaris and
Nikolaos I. Ioakimidis A method of numerical solution of
Cauchy-type singular integral equations
with generalized kernels and arbitrary
complex singularities . . . . . . . . . 309--323
C. F. Bender Spin-adapted vector method: An
alternative to the conventional
configuration interaction approach . . . 324--332
Bertil Gustafsson and
Heinz-Otto Kreiss Boundary conditions for time dependent
problems with an artificial boundary . . 333--351
Michael D. Griffin and
Everett Jones and
John D. Anderson, Jr. A computational fluid dynamic technique
valid at the centerline for
non-axisymmetric problems in cylindrical
coordinates . . . . . . . . . . . . . . 352--360
P. A. Whitlock and
M. H. Kalos Monte Carlo calculation of the radial
distribution function of quantum hard
spheres at finite temperatures . . . . . 361--388
Everett Jones Stability analysis for MacCormack's
time-splitting technique applied to a
model conduction problem . . . . . . . . 389--406
Viktor K. Decyk and
John M. Dawson Computer model for bounded plasma . . . 407--427
M. E. Alexander and
J. Ll Morris Galerkin methods applied to some model
equations for non-linear dispersive
waves . . . . . . . . . . . . . . . . . 428--451
Anonymous List of forthcoming articles . . . . . . 452--452
Anonymous Author index for volume $30$ . . . . . . 453--453
Clive Temperton Direct methods for the solution of the
discrete Poisson equation: Some
comparisons . . . . . . . . . . . . . . 1--20
R. J. Riddell, Jr. Boundary-distribution solution of the
Helmholtz equation for a region with
corners . . . . . . . . . . . . . . . . 21--41
Robert J. Riddell, Jr. Numerical solution of the Helmholtz
equation for two-dimensional polygonal
regions . . . . . . . . . . . . . . . . 42--59
Z. Schulten and
D. G. M. Anderson and
Roy G. Gordon An Algorithm for the Evaluation of the
Complex Airy Functions . . . . . . . . . 60--75
Gregory R. Baker The ``cloud in cell'' technique applied
to the roll up of vortex sheets . . . . 76--95
Graeme Fairweather and
Frank J. Rizzo and
David J. Shippy and
Yensen S. Wu On the numerical solution of
two-dimensional potential problems by an
improved boundary integral equation
method . . . . . . . . . . . . . . . . . 96--112
M. Fortin and
F. Thomasset Mixed finite-element methods for
incompressible flow problems . . . . . . 113--145
Riho Terras The determination of incomplete gamma
functions through analytic integration 146--151
Anonymous List of forthcoming articles . . . . . . 152--152
Tuncer Cebeci The laminar boundary layer on a circular
cylinder started impulsively from rest 153--172
M. J. Fritts and
J. P. Boris The Lagrangian solution of transient
problems in hydrodynamics using a
triangular mesh . . . . . . . . . . . . 173--215
L. E. Alsop and
A. S. Goodman and
F. G. Gustavson and
W. L. Miranker A numerical solution of a model for a
superconductor field problem . . . . . . 216--239
W. R. Moreau A vector perturbation series based upon
a representation in a finite Banach
space . . . . . . . . . . . . . . . . . 240--264
Murli M. Gupta and
Ram P. Manohar Boundary approximations and accuracy in
viscous flow computations . . . . . . . 265--288
K. Srinivas and
J. Gururaja An improved form of the artificial
diffusion parameter --- $\chi$ . . . . . 289--292
Pedro de A. P. Martins Determination of large-order spherical
Coulomb functions with an argument lying
between the origin and the common point
of inflection . . . . . . . . . . . . . 293--299
Anonymous List of forthcoming articles . . . . . . 300--300
G. T. Davidson Pitch angle diffusion of trapped
particles in the presence of a loss
cone: Calculating the distribution of
particles precipitating from the Earth's
radiation belts . . . . . . . . . . . . 301--312
Aleksei T. Shestakov A hybrid vortex-ADI solution for flows
of low viscosity . . . . . . . . . . . . 313--334
Steven T. Zalesak Fully multidimensional flux-corrected
transport algorithms for fluids . . . . 335--362
T. Cebeci and
H. B. Keller and
P. G. Williams Separating boundary-layer flow
calculations . . . . . . . . . . . . . . 363--378
J. N. Leboeuf and
T. Tajima and
J. M. Dawson A magnetohydrodynamic particle code for
fluid simulation of plasmas . . . . . . 379--408
R. B. White An interactive code for solving
differential equations, using phase
integral methods . . . . . . . . . . . . 409--424
James B. Anderson and
Bart H. Freihaut Quantum chemistry by random walk: Method
of successive corrections . . . . . . . 425--437
J. Stefpeler Difference schemes with uniform second
and third order accuracy and reduced
smoothing . . . . . . . . . . . . . . . 438--449
Anonymous List of forthcoming articles . . . . . . 450--450
Anonymous Author index for volume $31$ . . . . . . 451--451
Christopher L. Kerr and
Alan F. Blumberg An analysis of a local second-moment
conserving quasi-Lagrangian scheme for
solving the advection equation . . . . . 1--9
Alain Rigal Convergence and optimization of
successive overrelaxation for linear
systems of equations with complex
eigenvalues . . . . . . . . . . . . . . 10--23
J. W. Eastwood and
D. R. K. Brownrigg Remarks on the solution of Poisson's
equation for isolated systems . . . . . 24--38
Gregory Shubin and
Sin-I Cheng Gasdynamic modeling and computational
accuracy . . . . . . . . . . . . . . . . 39--55
Pierre Hillion Numerical solution of the spinor
Helmholtz equation in optics . . . . . . 56--70
J. K. Dukowicz and
J. D. Ramshaw Tensor viscosity method for convection
in numerical fluid dynamics . . . . . . 71--79
Cha-Mei Tang Comparison of spectral methods for flows
on spheres for flows on spheres . . . . 80--88
David W. E. Blatt and
Bruce H. J. McKellar The computation of second order energies
using a reference spectrum Euler
function . . . . . . . . . . . . . . . . 89--100
Bram van Leer Towards the ultimate conservative
difference scheme. V. A second-order
sequel to Godunov's method . . . . . . . 101--136
J. L. Finney A procedure for the construction of
Voronoi polyhedra . . . . . . . . . . . 137--143
Anonymous List of forthcoming articles . . . . . . 144--144
R. Bonnerot and
P. Jamet A third order accurate discontinuous
finite element method for the
one-dimensional Stefan problem . . . . . 145--167
T. Erber and
P. Everett and
P. W. Johnson The simulation of random processes on
digital computers with \vCeby\vsev
mixing transformations . . . . . . . . . 168--211
J. L. Johnson and
H. E. Dalhed and
J. M. Greene and
R. C. Grimm and
Y. Y. Hsieh and
S. C. Jardin and
J. Manickam and
M. Okabayashi and
R. G. Storer and
A. M. M. Todd and
D. E. Voss and
K. E. Weimer Numerical determination of axisymmetric
toroidal magnetohydrodynamic equilibria 212--234
R. Mejia and
J. L. Stephenson Numerical solution of multinephron
kidney equations . . . . . . . . . . . . 235--246
G. A. Evans A numerical differentiator . . . . . . . 247--253
Aaron B. Budgor The method of differential areas for
computing crystal symmetry independent
density of states spectra . . . . . . . 254--262
M. Petravic and
G. Kuo-Petravic An ILUCG algorithm which minimizes in
the Euclidean norm . . . . . . . . . . . 263--269
N. M. Temme An Algorithm with ALGOL 60 Program for
the Computation of the Zeros of Ordinary
Bessel Functions and those of their
Derivatives . . . . . . . . . . . . . . 270--279
R. J. Cole and
C. Pescatore Evaluation of the Integral
$\int_0^\infty t^n \exp(-t^2 - x/t) \,
dt$ . . . . . . . . . . . . . . . . . . 280--287
Anonymous List of forthcoming articles . . . . . . 288--288
A. J. Baker and
M. O. Soliman Utility of a finite element solution
algorithm for initial-value problems . . 289--324
P. C. M. Lau Curvilinear finite difference method for
three-dimensional potential problems . . 325--344
F. H. Maltz and
D. L. Hitzl Variance reduction in Monte Carlo
computations using multi-dimensional
Hermite polynomials . . . . . . . . . . 345--376
Douglas F. Hager and
Roy G. Gordon The reduction of a general complex
matrix to a condensed form by bounded
single element transformations . . . . . 377--402
Richard C. Raffenetti A simultaneous coordinate relaxation
algorithm for large, sparce matrix
eigenvalue problems . . . . . . . . . . 403--419
G. C. Pomraning and
G. M. Foglesong Transport-diffusion interfaces in
radiative transfer . . . . . . . . . . . 420--436
J. Rankin and
W. R. Thorson Continuum wave functions for the
two-center, one-electron system . . . . 437--446
Anonymous List of forthcoming articles . . . . . . 447--447
Anonymous Author index for volume $32$ . . . . . . 448--448
Brian Davies and
Brian Martin Numerical inversion of the Laplace
transform: a survey and comparison of
methods . . . . . . . . . . . . . . . . 1--32
J. A. Hendry and
L. M. Delves The global element method applied to a
harmonic mixed boundary value problem 33--44
Robert Lee Warnock A nonlinear integral equation from the
Ball--Zachariasen model of diffractive
scattering: Numerical solution near a
singularity of the Fréchet derivative . . 45--69
B. S. Ng and
W. H. Reid A numerical method for linear two-point
boundary-value problems using compound
matrices . . . . . . . . . . . . . . . . 70--85
H. Naitou and
S. Tokuda and
T. Kamimura On boundary conditions for a simulation
plasma in a magnetic field . . . . . . . 86--101
Julius Smith and
J. C. Whitson On the numerical solution of the drift
wave equations by means of invariant
imbedding . . . . . . . . . . . . . . . 102--117
Peter R. Eiseman A multi-surface method of coordinate
generation . . . . . . . . . . . . . . . 118--150
Anonymous List of forthcoming articles . . . . . . 151--152
E. Cambiaggio and
F. Cuozzo Finite difference analysis of surface
acoustic wave propagation and scattering
in piezoelectric crystals . . . . . . . 153--168
C. B. Vreugdenhil Two-layer shallow-water flow in two
dimensions, a numerical study . . . . . 169--184
P. J. O'Rourke and
F. V. Bracco Two scaling transformations for the
numerical computation of
multidimensional unsteady laminar flames 185--203
E. Detyna Point cyclic reductions for elliptic
boundary-value problems. I. The
constant-coefficient case . . . . . . . 204--216
Robert A. Brown Finite-element methods for the
calculation of capillary surfaces . . . 217--235
Murli M. Gupta and
Ram P. Manohar Direct solution of the biharmonic
equation using noncoupled approach . . . 236--248
Eric Braaten and
George Weller An improved low-discrepancy sequence for
multidimensional quasi-Monte Carlo
integration . . . . . . . . . . . . . . 249--258
H. Bruce Stewart Stability of two-phase flow calculation
using two-fluid models . . . . . . . . . 259--270
D. L. Book and
P. J. Turchi and
D. L. Stein A finite-circuit-element code for
modeling the compression of a gyrating
charged-particle beam . . . . . . . . . 271--289
R. E. Grundy Borel-type sums using two-point rational
approximants . . . . . . . . . . . . . . 290--293
H. H. Klein and
R. N. Byrne A technique for solving the non-linear
partial differential equations of
Tokamak transport . . . . . . . . . . . 294--299
Anonymous List of forthcoming articles . . . . . . 300--300
Clive A. J. Fletcher A primitive variable finite element
formulation for inviscid, compressible
flow . . . . . . . . . . . . . . . . . . 301--312
Dale B. Haidvogel Resolution of downstream boundary layers
in the Chebyshev approximation to
viscous flow problems . . . . . . . . . 313--324
S. C. R. Dennis and
D. B. Ingham and
R. N. Cook Finite-difference methods for
calculating steady incompressible flows
in three dimensions . . . . . . . . . . 325--339
A. S. Benjamin and
V. E. Denny On the convergence of numerical
solutions for $2$-D flows in a cavity at
large Re . . . . . . . . . . . . . . . . 340--358
M. Friedman and
A. Rabinovitch and
R. Thieberger Application of the finite-element method
to the hydrogen atom in a box in an
electric field . . . . . . . . . . . . . 359--368
T. Scott Computation of scattering functions in
second-order many-body theory . . . . . 369--381
Yasuo Tomishima and
Jiro Ozaki Monte Carlo solution of Schrödinger's
equation for the hydrogen atom in a
magnetic field . . . . . . . . . . . . . 382--396
Wayne Pfeiffer A graphical method for finding complex
roots and its application to plasma
physics problems . . . . . . . . . . . . 397--404
J. L. Steger and
R. L. Sorenson Automatic mesh-point clustering near a
boundary in grid generation with
elliptic partial differential equations 405--410
Riho Terras Reliable evaluation of Gaussian
integrals . . . . . . . . . . . . . . . 411--416
Michael S. Milgram and
Kenneth N. Sly On the properties of collision
probability integrals in annular
geometry. II. Evaluation . . . . . . . . 417--424
J. G. Fripiat and
J. Delhalle Fourier representation of the Coulombic
contributions to polymer chains . . . . 425--431
R. S. Craxton and
R. L. Mc Crory A simple rezoning technique for use with
the flux-corrected transport algorithm 432--440
A. O. Came and
S. I. Zanette On the calculation of rotation matrices 441--443
Anonymous List of forthcoming articles . . . . . . 444--444
Anonymous Author index for volume 33 . . . . . . . 445--445
Bertil Gustafsson Comment on ``On boundary conditions for
hyperbolic difference schemes'' . . . . 108--110