Last update:
Fri Oct 13 09:22:01 MDT 2017
I. G. Cameron An analysis of the errors caused by
using artificial viscosity terms to
represent steady-state shock waves . . . 1--20
Charles Schwartz Information content of the Born series 21--28
John Killeen and
Shirley L. Rompel A computation for studying the formation
of the relativistic electron layer in
astron . . . . . . . . . . . . . . . . . 29--50
David Williamson Stability of difference approximations
to certain partial differential
equations of fluid dynamics . . . . . . 51--67
J. L. Anderson and
J. K. Percus and
J. K. Steadman Numerical investigations of a simple
model of a one-dimensional fluid . . . . 68--86
Richard A. Gentry and
Robert E. Martin and
Bart J. Daly An Eulerian differencing method for
unsteady compressible flow problems . . 87--118
Akio Arakawa Computational design for long-term
numerical integration of the equations
of fluid motion: Two-dimensional
incompressible flow. Part I . . . . . . 119--143
W. Peter Trower A FORTRAN program for calculating
kinematic and dynamic quantities of
particle interactions and decays . . . . 144--145
W. Peter Trower A FORTRAN subroutine for calculating the
range-energy relation of charged
particles in chemical elements . . . . . 145--147
Alan M. Winslow Numerical solution of the quasilinear
Poisson equation in a nonuniform
triangle mesh . . . . . . . . . . . . . 149--172
K. Lathrop and
B. Carlson Numerical solution of the Boltzmann
Transport Equation . . . . . . . . . . . 173--197
Samuel Z. Burstein Finite-difference calculations for
hydrodynamic flows containing
discontinuities . . . . . . . . . . . . 198--222
E. Clementi and
D. R. Davis Electronic structure of large molecular
systems . . . . . . . . . . . . . . . . 223--244
Richard Bellman and
Harriet Kagiwada and
Robert Kalaba Invariant imbedding and radiative
transfer in spherical shells . . . . . . 245--256
M. H. Kalos Stochastic wave function for atomic
helium . . . . . . . . . . . . . . . . . 257--276
I. P. Grant and
V. M. Burke The diffuse reflection of radiation by
model planetary atmospheres . . . . . . 277--302
Kimmo A. Innanen An example of precise interpolation with
a spline function . . . . . . . . . . . 303--304
Paul Friedl and
Charles Sederholm and
William Dye and
Hall Crannell and
M. R. Yearian The use of an on-line digital computer
in closed-loop high-energy physics . . . 305--321
Harriet Kagiwada and
R. E. Kalaba Initial-value methods for the basic
boundary-value problem and integral
equation of radiative transfer . . . . . 322--329
Paul Concus Numerical solution of the nonlinear
magnetostatic-field equation in two
dimensions . . . . . . . . . . . . . . . 330--342
Allan D. Pierce The multilayer approximation for
infrasonic wave propagation in a
temperature- and wind-stratified
atmosphere . . . . . . . . . . . . . . . 343--366
Tzu-Sien Shaw Numerical solution of plane viscous
shock reflections . . . . . . . . . . . 367--381
John M. Blatt Practical points concerning the solution
of the Schrödinger equation . . . . . . . 382--396
Josef Stein Computational problems associated with
Racah algebra . . . . . . . . . . . . . 397--405
Harry Sauerwein Numerical calculations of
multidimensional and unsteady flows by
the method of characteristics . . . . . 406--432
Abraham Goldberg and
Judah L. Schwartz Integration of the Schrödinger equation
in imaginary time . . . . . . . . . . . 433--447
Abraham Goldberg and
Judah L. Schwartz Integration of the Schrödinger equation
in imaginary time. II . . . . . . . . . 448--453
M. J. Levine Dirac matrix and tensor algebra on a
digital computer . . . . . . . . . . . . 454--455
R. Bellan and
H. Kagiwada and
R. Kalaba and
S. Ueno Numerical results for the estimation of
source distributions from external
radiation-field measurements . . . . . . 457--470
W. P. Crowley Second-order numerical advection . . . . 471--484
H. Yuta Determination of momentum and angles of
bubble-chamber tracks in a nonuniform
magnetic field . . . . . . . . . . . . . 485--495
J. A. Byers A nonlinear computer model applicable to
low-beta plasma interchange modes in two
dimensions . . . . . . . . . . . . . . . 496--516
O. Buneman Time-reversible difference procedures 517--535
Raymond Gold and
Charles E. Cohn and
Ingeborg Olson Methods for the numerical evaluation of
Fourier integrals . . . . . . . . . . . 536--540
Frederick A. Costello and
George L. Schrenk Numerical solution to the heat-transfer
equations with combined conduction and
radiation . . . . . . . . . . . . . . . 541--543
Anonymous Erratum . . . . . . . . . . . . . . . . 544--544
Anonymous Author index of volume 1 . . . . . . . . 545--545
Richard H. Miller An experimental method for testing
numerical stability in initial-value
problems . . . . . . . . . . . . . . . . 1--7
Peter D. Usher Coordinate stretching and interface
location I. Star models in quasi-static
equilibrium . . . . . . . . . . . . . . 8--11
Alexandre Joel Chorin A numerical method for solving
incompressible viscous flow problems . . 12--26
Yuh-Kang Pan and
Max T. Rogers The evaluation of matrix elements of the
high-resolution NMR spin-coupling
Hamiltonian using a digital computer . . 27--31
F. Baer and
R. L. King A general computational form for a class
of nonlinear systems incorporating both
spectral and finite-difference
approximations . . . . . . . . . . . . . 32--60
Barbara K. Crowley PUFL, an ``almost--Lagrangian''
gasdynamic calculation for pipe flows
with mass entrainment . . . . . . . . . 61--86
D. B. Dickmann and
G. E. Schacher A Fortran program for calculating
internal fields in general dipole
lattices . . . . . . . . . . . . . . . . 87--89
Charles Schwartz Numerical techniques in matrix mechanics 90--113
C. W. Hirt and
Francis H. Harlow A general corrective procedure for the
numerical solution of initial-value
problems . . . . . . . . . . . . . . . . 114--119
Robert B. Kelman The potential in a cylindrical electrode
partially submerged in a perfectly
conducting medium . . . . . . . . . . . 120--125
Norman J. Zabusky and
Gary S. Deem Dynamics of nonlinear lattices I.
Localized optical excitations, acoustic
radiation, and strong nonlinear behavior 126--153
Arnold Lapidus A detached shock calculation by
second-order finite differences . . . . 154--177
Ephraim L. Rubin and
Samuel Z. Burstein Difference methods for the inviscid and
viscous equations of a compressible gas 178--196
Roger B. Debar Difference equations for the Legendre
polynomial representation of the
transport equation . . . . . . . . . . . 197--205
E. Atlee Jackson and
John R. Pasta and
John F. Waters Thermal conductivity of one-dimensional
lattices . . . . . . . . . . . . . . . . 207--227
M. Sankar-Rao A method of solution for a system of two
second-order ordinary differential
equations arising in the theory of the
mean atmospheric waves . . . . . . . . . 228--235
John Killeen and
Archer H. Futch Numerical solution of the Fokker--Planck
equations for a hydrogen plasma formed
by neutral injection . . . . . . . . . . 236--254
H. M. Gladney A simple time-sharing monitor system for
laboratory automation . . . . . . . . . 255--273
H. Wind Processing magnetic field data . . . . . 274--278
James L. Anderson and
Stanley Preiser and
Ephraim L. Rubin Conservation form of the equations of
hydrodynamics in curvilinear coordinate
systems . . . . . . . . . . . . . . . . 279--287
M. G. Rusbridge On the realization of random surfaces 288--305
Ashley F. Emery An evaluation of several differencing
methods for inviscid fluid flow problems 306--331
I. R. Williams and
M. Craig, Jr. and
C. L. Thompson A Fortran program for calculating the
solid angle subtended by one circular
disk at another . . . . . . . . . . . . 332--333
Kurt Bernardo Wolf A set of Fortran subroutines for
handling bases of group representations 334--335
J. R. Gabriel The calculation of cubic harmonics . . . 336--338
C. W. Hirt Heuristic stability theory for
finite-difference equations . . . . . . 339--355
Paul A. Libby and
Karl K. Chen Application of quasi-linearization to an
eigenvalue problem arising in
boundary-layer theory . . . . . . . . . 356--362
C. Nelson Dorny Finite-difference approximation of the
exterior problem for Poisson's equation 363--380
I. P. Grant Numerical analysis of discrete ordinate
methods . . . . . . . . . . . . . . . . 381--402
C. W. Hirt and
J. P. Shannon Free-surface stress conditions for
incompressible-flow calculations . . . . 403--411
J. A. Campbell Note a short program for Dirac matrix
algebra . . . . . . . . . . . . . . . . 412--413
I. H. Sloan Note errors in the Numerov and
Runge--Kutta methods . . . . . . . . . . 414--416
Walter C. Hamilton Computers in chemistry conference:
Computers, chemists, and crystallography 417--438
William D. Gwinn and
Alan C. Luntz and
C. H. Sederholm and
Richard Millikan On-line control, data collection, and
reduction for chemical experiments at
Berkeley . . . . . . . . . . . . . . . . 439--464
T. A. Brubaker and
D. R. Stevens Time-domain design of finite-memory
digital filters . . . . . . . . . . . . 465--483
Roger E. Anderson and
J. W. Frazer Computer control in chemistry at the
Lawrence Radiation Laboratory . . . . . 484--493
Anonymous Author index of volume 2 . . . . . . . . 494--494
Lloyd D. Fosdick and
Harry F. Jordan Approximation of a conditional Wiener
integral . . . . . . . . . . . . . . . . 1--16
L. M. Delves Round-off errors in variational
calculations . . . . . . . . . . . . . . 17--28
Peter D. Usher Coordinate stretching and interface
location II. A new PL expansion . . . . 29--39
Ian H. Sloan Method for the numerical solution of
linear second-order differential
equations . . . . . . . . . . . . . . . 40--45
F. G. Hagin Computation of eigenvalues for
second-order differential equations
using imbedding techniques . . . . . . . 46--57
Bruce L. Hicks and
Margaret A. Smith On the accuracy of Monte Carlo solutions
of the nonlinear Boltzmann Equation . . 58--79
Francis H. Harlow and
Anthony A. Amsden Numerical calculation of almost
incompressible flow . . . . . . . . . . 80--93
Anthony A. Amsden and
Francis H. Harlow Transport of turbulence in numerical
fluid dynamics . . . . . . . . . . . . . 94--110
W. P. Crowley A global numerical ocean model: Part I 111--147
Charles W. Steele Numerical computation of electric and
magnetic fields in a uniform waveguide
of arbitrary cross section . . . . . . . 148--153
Leslie C. Higbie and
Myron N. Plooster Variable pseudoviscosity in
one-dimensional hyperbolic difference
schemes . . . . . . . . . . . . . . . . 154--156
B. Bertman An Algol program for calibrating
resistance thermometers at low
temperatures . . . . . . . . . . . . . . 157--158
H. Kagiwada and
R. Kalaba and
R. Segerblom Flux equivalences among Rayleigh,
isotropic, and other scattering models 159--166
Raymond Gold and
Edgar F. Bennett Error estimates for iterative unfolding 167--175
Jacob E. Fromm A method for reducing dispersion in
convective difference schemes . . . . . 176--189
K. Rajaiah and
Akella Kameswara Rao Effect of boundary condition description
on convergence of solution in a
boundary-value problem . . . . . . . . . 190--201
M. Krell and
T. E. O. Ericson The bound-state solution of wave
equations for real or complex
eigenvalues . . . . . . . . . . . . . . 202--207
G. Heldmann and
P. Schnupp Computer-aided construction of symmetry
adapted wave functions and matrix
elements . . . . . . . . . . . . . . . . 208--216
Henry F. Schaefer III and
Frank E. Harris Construction and use of atomic L-S
eigenfunctions . . . . . . . . . . . . . 217--225
E. Faccioli and
A. H.-S. Ang A discrete Eulerian model of spherically
symmetric compressible media . . . . . . 226--258
R. C. Mjolsness and
H. M. Ruppel Multiple solutions of Hartree--Fock
equations . . . . . . . . . . . . . . . 259--272
David B. Taylor The calculation of steady plane
supersonic gas flows containing an
arbitrarily large number of shocks . . . 273--290
H. C. van de Hulst Asymptotic fitting, a method for solving
anisotropic transfer problems in thick
layers . . . . . . . . . . . . . . . . . 291--306
A. G. Petschek and
M. E. Hanson Difference equations for two-dimensional
elastic flow . . . . . . . . . . . . . . 307--321
William A. Lester, Jr. De Vogelaere's method for the numerical
integration of second-order differential
equations without explicit first
derivatives: Application to coupled
equations arising from the Schrödinger
equation . . . . . . . . . . . . . . . . 322--326
Shaikh A. Matin Numerical iteration of an elliptic mixed
boundary-value problem in a region with
curved boundary . . . . . . . . . . . . 327--330
J. R. Wayland A program to calculate particle spectra
produced in high-energy proton-proton
collisions by the two-temperature
statistical model . . . . . . . . . . . 331--331
I. H. Sloan The numerical evaluation of
principal-value integrals . . . . . . . 332--333
Edward W. Ng On the direct summation of series
involving higher transcendental
functions . . . . . . . . . . . . . . . 334--338
David D. Houghton and
Walter L. Jones A numerical model for linearized gravity
and acoustic waves . . . . . . . . . . . 339--357
G. L. Kusic and
A. Lavi Stability of difference methods for
initial-value type partial differential
equations . . . . . . . . . . . . . . . 358--378
Frederick P. Boynton and
Alex Thomson Numerical computation of steady,
supersonic, two-dimensional gas flow in
natural coordinates . . . . . . . . . . 379--398
Gordon Kent and
Joseph Mautz The numerical solution of a Volterra
integral equation . . . . . . . . . . . 399--415
S. V. Lawande and
C. A. Jensen and
H. L. Sahlin Monte Carlo integration of the Feynman
propagator in imaginary time . . . . . . 416--443
F. Bruce Gerhard, Jr. and
J. Lawrence Katz A method of alphabetic plotting of
undistorted Fourier maps in X-ray
crystallography . . . . . . . . . . . . 444--446
Bhairav D. Joshi and
K. L. Kapoor The recursive and analytical evaluation
of atomic correlation integrals . . . . 447--450
K. S. Nagaraja and
James P. Hudson On the application of Luke's weight
coefficients for evaluating the
linearized Rayleigh problem in a
rarefied gas flow . . . . . . . . . . . 451--452
D. H. Bell and
L. M. Delves Discrete least squares method for the
solution of the Schrödinger equation:
Application to the nuclear three-body
problem . . . . . . . . . . . . . . . . 453--472
B. van Leer Stabilization of difference schemes for
the equations of inviscid compressible
flow by artificial diffusion . . . . . . 473--485
George A. Baker, Jr. A certain unfolding problem . . . . . . 486--493
Charles K. Birdsall and
Dieter Fuss Clouds-in-clouds, clouds-in-cells
physics for many-body plasma simulation 494--511
Charles Schwartz Variational principles for integrals . . 512--522
A. Brandt and
J. Gillis Asymptotic approach to
Hartmann--Poiseuille flows . . . . . . . 523--538
Marcel Kopp and
John H. Mackey A versatile program for computing
paramagnetic resonance spectra from a
parametric spin-Hamiltonian . . . . . . 539--543
James J. O'Brien A direct numerical solution to a
one-dimensional Helmholtz equation . . . 544--546
Anonymous Author index of volume 3 . . . . . . . . 547--548
E. H. Rogers and
D. W. Beard A numerical study of wide-gap Taylor
vortices . . . . . . . . . . . . . . . . 1--18
Charles Schwartz Numerical integration of analytic
functions . . . . . . . . . . . . . . . 19--29
Jay P. Boris and
John M. Greene Determination of subdominant solutions
using a partial Wronskian . . . . . . . 30--42
C. Hategan Resolution of a system of coupled
Schrödinger equations . . . . . . . . . . 43--53
Benjamin P. Carter $ {S} $-State matrix elements for muonic
molecules . . . . . . . . . . . . . . . 54--66
Z. S. Alterman and
E. Isaacson A method for calculating frontal motion
I. One dimensional tests . . . . . . . . 67--96
Bart J. Daly A technique for including surface
tension effects in hydrodynamic
calculations . . . . . . . . . . . . . . 97--117
William P. Minicozzi and
Dan F. Bradley On the determination of interaction
energy surfaces I. Formic and acetic
acid dimers . . . . . . . . . . . . . . 118--137
P. J. Taylor A technique for treating Dirichlet
conditions at infinity in numerical
field problems . . . . . . . . . . . . . 138--141
Dale W. Lick A divergence theorem for a nonlinear
Dirichlet problem . . . . . . . . . . . 142--143
Farid F. Abraham and
Stanley K. Jordan Fortran program for computing the
transient and steady-state modifications
of a raindrop size distribution due to
evaporation and coalescence . . . . . . 144--145
Carl J. Costantino Two dimensional wave propagation through
nonlinear media . . . . . . . . . . . . 147--170
Stanley M. Swanson Computer algorithms for Dirac algebra 171--194
Marcel Kopp Computation and analysis of pulsed-NMR
line shapes of crystals . . . . . . . . 195--203
Peter H. Verdier A simulation model for the study of the
motion of random-coil polymer chains . . 204--210
Burton Wendroff A difference scheme for radiative
transfer . . . . . . . . . . . . . . . . 211--229
R. Grimm and
R. G. Storer A new method for the numerical solution
of the Schrödinger equation . . . . . . . 230--249
R. C. Allen, Jr. and
G. M. Wing and
M. Scott Solution of a certain class of nonlinear
two-point boundary value problems . . . 250--257
R. E. Textor and
D. W. Lick and
G. J. Farris Solution of confined vortex problems . . 258--269
Amikam Aharoni Computation of $ K_p(x) $ . . . . . . . 270--271
George Kusic On stability of numerical methods for
systems of initial-value partial
differential equations . . . . . . . . . 272--275
Patricio A. Laura Comment . . . . . . . . . . . . . . . . 276--277
John M. Gary A comparison of two difference schemes
used for numerical weather prediction 279--305
Frank Hohl and
R. W. Hockney A computer model of disks of stars . . . 306--324
Benjamin P. Carter Muonic-molecule calculations by
variation of functions . . . . . . . . . 325--346
Kirk Bryan A numerical method for the study of the
circulation of the world ocean . . . . . 347--376
Akira Kasahara and
David D. Houghton An example of nonunique, discontinuous
solutions in fluid dynamics . . . . . . 377--388
Wilson K. Talley and
Stephen Whitaker Monte Carlo analysis of Knudsen flow . . 389--410
J. F. Larcher and
D. P. Chong On degenerate Rayleigh--Schrödinger
perturbation . . . . . . . . . . . . . . 411--414
Reuven Chen On the computation of the integral
appearing in glow curve theory . . . . . 415--418
A. K. Rigler A choice of starting vectors in
relaxation methods . . . . . . . . . . . 419--423
Carlos B. Suárez and
Mario Gallardo A Fortran program to analyze the
rotational structure of diatomic
molecules . . . . . . . . . . . . . . . 424--426
T. A. Zaker Calculation of the complementary error
function of complex argument . . . . . . 427--430
W. Matthes Model calculation of phase transitions
with Monte Carlo . . . . . . . . . . . . 431--450
S. V. Lawande and
C. A. Jensen and
H. L. Sahlin Monte Carlo evaluation of Feynman Path
Integrals in imaginary time and
spherical polar coordinates . . . . . . 451--464
W. H. Southwell Fitting experimental data . . . . . . . 465--474
K. D. Lathrop Spatial differencing of the transport
equation: Positivity vs. accuracy . . . 475--498
J. D. Lyons and
R. K. Nesbet Evaluation of integrals required in
scattering theory: I. Non-exchange type
integrals . . . . . . . . . . . . . . . 499--520
E. Byckling and
M. Kaartinen and
K. Kajantie and
H. Villanen A Monte Carlo method for generating
peripheral events . . . . . . . . . . . 521--530
M. Yanowitch A numerical study of vertically
propagating waves in a viscous
isothermal atmosphere . . . . . . . . . 531--542
J. A. Viecelli A method for including arbitrary
external boundaries in the MAC
incompressible fluid computing technique 543--551
J. P. Boris and
K. V. Roberts The optimization of particle
calculations in $2$ and $3$ dimensions 552--571
M. Reeves III and
L. W. Owen Solution of a Schrödinger equation with a
nonlocal potential . . . . . . . . . . . 572--578
Frank E. Harris and
H. H. Michels Integrals for electron-atom scattering
calculations . . . . . . . . . . . . . . 579--593
George Harvey Harrison A compact method for symbolic
computation of the Riemann tensor . . . 594--600
Anonymous Author index of volume 4 . . . . . . . . 601--602
Samuel Y. K. Yee Comments on ``A direct numerical
solution to a one-dimensional Helmholtz
equation'' . . . . . . . . . . . . . . . 336--337