Last update:
Mon Sep 4 17:21:15 MDT 2023
John E. Lavery Calculation of shocked one-dimensional
flows on abruptly changing grids by
mathematical programming . . . . . . . . 1--17
Philippe Rostand Kinetic boundary layers, numerical
simulations . . . . . . . . . . . . . . 18--55
Vincenzo Casulli Semi-implicit finite difference methods
for the two-dimensional shallow water
equations . . . . . . . . . . . . . . . 56--74
Omar M. Knio and
Ahmed F. Ghoniem Numerical study of a three-dimensional
vortex method . . . . . . . . . . . . . 75--106
Sin-Chung Chang A critical analysis of the modified
equation technique of Warming and Hyett 107--126
A. Cloot and
B. M. Herbst and
J. A. C. Weideman A numerical study of the nonlinear
Schrödinger equation involving quintic
terms . . . . . . . . . . . . . . . . . 127--146
M. L. Mansour and
A. Hamed Implicit solution of the incompressible
Navier--Stokes equations on a
non-staggered grid . . . . . . . . . . . 147--167
Charles Quon and
Helmuth Sandstrom A numerical algorithm to study internal
solitary waves . . . . . . . . . . . . . 168--186
R. J. Leveque and
H. C. Yee A study of numerical methods for
hyperbolic conservation laws with stiff
source terms . . . . . . . . . . . . . . 187--210
Dalia Fishelov A new vortex scheme for viscous flows 211--224
Matania Ben-Artzi and
Amnon Birman Computation of reactive duct flows in
external fields . . . . . . . . . . . . 225--255
Anonymous Abstracts of papers to appear in future
issues . . . . . . . . . . . . . . . . . 256--258
Hirotada Abe and
Sadanojyo Nakajima A Courant condition-free modified
partially implicit method. Revised
electromagnetic particle code PS2M for
bounded plasmas with conducting walls 259--269
L. A. Charlton and
J. A. Holmes and
V. E. Lynch and
B. A. Carreras and
T. C. Hender Compressible linear and nonlinear
resistive MHD calculations in toroidal
geometry . . . . . . . . . . . . . . . . 270--293
Lisa J. Fauci Interaction of oscillating filaments: a
computational study . . . . . . . . . . 294--313
L. Quartapelle and
S. Rebay Numerical solution of two-point boundary
value problems . . . . . . . . . . . . . 314--354
Piotr K. Smolarkiewicz and
Wojciech W. Grabowski The multidimensional positive definite
advection transport algorithm:
nonoscillatory option . . . . . . . . . 355--375
M. R. Malik Numerical methods for hypersonic
boundary layer stability . . . . . . . . 376--413
Vladimir Rokhlin Rapid solution of integral equations of
scattering theory in two dimensions . . 414--439
Lawrence J. Roberts and
Kenneth S. Sorbie Two-phase flow in porous media with
multicomponent transport: Formulation
and higher order numerical solution . . 440--465
M. Roth and
J. Lemaire and
A. Misson An iterative method to solve the
nonlinear Poisson's equation in the case
of plasma tangential discontinuities . . 466--486
Hafez Kobeissi and
Majida Kobeissi and
Mounzer Dagher On the use of a variable-step method for
the computation of diatomic eigenvalues
near dissociation: The Lennard-Jones
potential . . . . . . . . . . . . . . . 487--491
T. Geisler and
P. L. Christiansen and
J. Mòrk and
P. S. Ramanujam Split-step spectral method for nonlinear
schrödinger equation with constant
background intensities . . . . . . . . . 492--495
Anonymous Abstracts of papers to appear in future
issues . . . . . . . . . . . . . . . . . 496--499
Anonymous Author index for volume 86 . . . . . . . 500--500
Meng-Sing Liou and
Bram Van Leer and
Jian-Shun Shuen Splitting of inviscid fluxes for real
gases . . . . . . . . . . . . . . . . . 1--24
Barry Koren Multigrid and defect correction for the
steady Navier--Stokes equations . . . . 25--46
Alvin K. Benson An explicit finite-difference solution
to the wave equation with variable
velocity . . . . . . . . . . . . . . . . 47--60
Herbert H. H. Homeier and
E. Otto Steinborn Numerical integration of functions with
a sharp peak at or near one boundary
using möbius transformations . . . . . . 61--72
Douglas J. Drake View-factor method for solving
time-dependent radiation transport
problems involving fixed surfaces with
intervening, participating media . . . . 73--90
D. B. Ingham and
T. Tang A numerical investigation into the
steady flow past a rotating circular
cylinder at low and intermediate
Reynolds numbers . . . . . . . . . . . . 91--107
D. Pathria and
J. Ll. Morris Pseudo-spectral solution of nonlinear
Schrödinger equations . . . . . . . . . . 108--125
Ulrich Hornung and
Hans D. Mittelmann A finite element method for capillary
surfaces with volume constraints . . . . 126--136
Lars Hernquist Vectorization of tree traversals . . . . 137--147
Junichiro Makino Vectorization of a treecode . . . . . . 148--160
Joshua E. Barnes A Modified Tree Code: Don't Laugh; It
Runs . . . . . . . . . . . . . . . . . . 161--170
Phillip Colella Multidimensional upwind methods for
hyperbolic conservation laws . . . . . . 171--200
Silvano Bonazzola and
Jean-Alain Marck Three-dimensional gas dynamics in a
sphere . . . . . . . . . . . . . . . . . 201--230
M. Migliore and
V. Martorana and
F. Sciortino An algorithm to find all paths between
two nodes in a graph . . . . . . . . . . 231--236
K. W. Schwarz On the validity of vortex-tangle
simulations of homogeneous superfluid
turbulence . . . . . . . . . . . . . . . 237--240
Thomas F. Buttke Vortex tangle simulations . . . . . . . 241--244
Anonymous Abstracts of papers to appear in future
issues . . . . . . . . . . . . . . . . . 245--247
X. Garbet and
L. Laurent and
F. Mourgues and
J. P. Roubin and
A. Samain Variational calculation of
electromagnetic instabilities in
tokamaks . . . . . . . . . . . . . . . . 249--269
G. Russo A particle method for collisional
kinetic equations. I. Basic theory and
one-dimensional results . . . . . . . . 270--300
Steven L. Dvorak and
Edward F. Kuester Numerical computation of the incomplete
Lipschitz--Hankel integral $ {\rm Je}_0
(a, z) $ . . . . . . . . . . . . . . . . 301--327
F. Sotiropoulos and
S. Abdallah Coupled fully implicit solution
procedure for the steady incompressible
Navier--Stokes equations . . . . . . . . 328--348
A. H. Reiman and
H. S. Greenside Computation of zero $ \beta $
three-dimensional equilibria with
magnetic islands . . . . . . . . . . . . 349--365
T. C. Scott and
R. A. Moore and
M. B. Monagan and
G. J. Fee and
E. R. Vrscay Perturbative solutions of quantum
mechanical problems by symbolic
computation . . . . . . . . . . . . . . 366--395
S. P. Hirshman and
U. Schwenn and
J. Nührenberg Improved radial differencing for
three-dimensional magnetohydrodynamic
equilibrium calculations . . . . . . . . 396--407
Haim Nessyahu and
Eitan Tadmor Non-oscillatory central differencing for
hyperbolic conservation laws . . . . . . 408--463
David S. Malkus and
John A. Nohel and
Bradley J. Plohr Dynamics of shear flow of a
non-Newtonian fluid . . . . . . . . . . 464--487
Masami Matsumoto and
Shigeo Kawata TRIPIC: Triangular-mesh particle-in-cell
code . . . . . . . . . . . . . . . . . . 488--493
A. Brandt and
A. A. Lubrecht Multilevel matrix multiplication and
fast solution of integral equations . . 494--494
Jian-Shun Shuen Inviscid flux-splitting algorithms for
real gases with non-equilibrium
chemistry . . . . . . . . . . . . . . . 494--494
Nathaniel Whitaker Numerical solution of the Hele--Shaw
equations . . . . . . . . . . . . . . . 494--494
H. H. Dannelongue and
P. A. Tanguy Efficient data structures for adaptive
remeshing with the FEM . . . . . . . . . 495--495
Lars Ferm Open boundary conditions for external
flow problems . . . . . . . . . . . . . 495--495
A. Ghizzo and
P. Bertrand A Vlasov code for the numerical
simulation of stimulated Raman
scattering . . . . . . . . . . . . . . . 495--495
Dusan Odstrcil A new optimized FCT algorithm for shock
wave problems . . . . . . . . . . . . . 495--495
Balasubramaniam Ramaswamy Numerical simulation of unsteady viscous
free-surface flow . . . . . . . . . . . 495--495
Anonymous Notes to appear . . . . . . . . . . . . 496--496
Alexander J. Chorin Hairpin removal in vortex interactions 496--496
Charlotte Froese Fischer and
W. Guo Spline algorithms for the Hartree--Fock
equation for the helium ground state . . 496--496
M. S. Hall A comparison of first- and second-order
rezoned and Lagrangian Godunov solutions 496--496
Rainald Löhner A vectorized particle tracer for
unstructured grids . . . . . . . . . . . 496--496
Anonymous Author index for volume 87 . . . . . . . 497--497
Michael N. Vrahatis and
Tassos Bountis and
Nurit Budinsky A convergence-improving iterative method
for computing periodic orbits near
bifurcation points . . . . . . . . . . . 1--14
Jussi Luppi and
Petri Pajunen Symbolic computation and automatic
FORTRAN code generation for eigenvalue
determination by phase integral method 15--30
H. C. Yee and
G. H. Klopfer and
J.-L. Montagné High-resolution shock-capturing schemes
for inviscid and viscous hypersonic
flows . . . . . . . . . . . . . . . . . 31--61
Aristides Th. Marinos On a direct method for solving
Helmholtz's type equations in $3$-d
rectangular regions . . . . . . . . . . 62--85
C. T. Tang and
V. C. Patel and
L. Landweber Viscous effects on propagation and
reflection of solitary waves in shallow
channels . . . . . . . . . . . . . . . . 86--113
P. M. Valanju NUT: a fast $3$-dimensional neutral
transport code . . . . . . . . . . . . . 114--130
B. Grossman and
P. Cinnella Flux-split algorithms for flows with
non-equilibrium chemistry and
vibrational relaxation . . . . . . . . . 131--168
S. J. Jacobs A pseudospectral method for two-point
boundary value problems . . . . . . . . 169--182
B. A. Carreras and
V. E. Lynch and
E. F. Jaeger and
D. B. Batchelor and
J. S. Tolliver Full-wave calculations in flux
coordinates for toroidal geometry . . . 183--204
Hong Jiang and
Yau Shu Wong Absorbing boundary conditions for
second-order hyperbolic equations . . . 205--231
J. Andrzej Domaradzki An analytic Green's functions method in
pseudo-spectral Navier--Stokes solvers
for boundary layer and channel flows . . 232--242
A. M. Bratkovsky and
S. Yu. Savrasov On the calculation of combined
corrections in the LMTO method . . . . . 243--249
Anonymous Announcement . . . . . . . . . . . . . . 250--250
Anonymous Abstracts of papers to appear in future
issue . . . . . . . . . . . . . . . . . 251--254
Moshe Rosenfeld and
Moshe Israeli and
Micha Wolfshtfin A method for solving three-dimensional
viscous incompressible flows over
slender bodies . . . . . . . . . . . . . 255--283
Robert L. Lee and
Niel K. Madsen A mixed finite element formulation for
Maxwell's equations in the time domain 284--304
H. C. Chen and
V. C. Patel and
S. Ju Solutions of Reynolds-averaged
Navier--Stokes equations for
three-dimensional incompressible flows 305--336
Prabir Daripa On applications of a complex variable
method in compressible flows . . . . . . 337--361
Qianshun Chang and
Guobin Wang Multigrid and adaptive algorithm for
solving the nonlinear Schrödinger
equation . . . . . . . . . . . . . . . . 362--380
P. A. Robinson Systematic methods for calculation of
the dielectric properties of arbitrary
plasmas . . . . . . . . . . . . . . . . 381--392
Junichiro Making Comparison of two different tree
algorithms . . . . . . . . . . . . . . . 393--408
M. Valorani and
M. Di Giacinto Fast moving sub-subsonic shocks in
closed-end tubes . . . . . . . . . . . . 409--432
H. Chen and
W. H. Matthaeus and
L. W. Klein Theory of multicolor lattice gas: a
cellular automaton Poisson solver . . . 433--466
K. J. M. Moriarty and
Eric Myers and
Claudio Rebbi The dynamical interactions of cosmic
strings . . . . . . . . . . . . . . . . 467--476
C. D. Papageorgiou and
A. D. Raptis and
T. E. Simos An algorithm for the solution of the
eigenvalue Schrödinger equation . . . . . 477--483
N. Brali\'c and
R. Espinosa and
C. Saavedra An algorithm for the generation of
random numbers with density $ C \exp ( -
\lambda |x|^\nu) $ . . . . . . . . . . . 484--489
Petra Pinero and
Luis F. Rull and
Juan J. Morales and
JoséM Velarde Baxter solution to the $O$--$Z$ equation
near the critical point . . . . . . . . 490--494
R. H. Rothberg and
W. F. Walker and
A. J. Chapman Enhanced boundary pressure update for
incompressible flow simulation . . . . . 495--498
Anonymous Abstracts of papers to appear in future
issue . . . . . . . . . . . . . . . . . 499--503
Anonymous Author index for volume 88 . . . . . . . 504--504
G. Schaefer and
P. Hui The Monte Carlo flux method . . . . . . 1--30
Dale E. Nielsen, Jr. and
Adam T. Drobot An analysis and optimization of the
pseudo-current method . . . . . . . . . 31--40
Mary Jarratt and
John Lund and
Kenneth L. Bowers Galerkin schemes and the sinc-Galerkin
method for singular Sturm--Liouville
problems . . . . . . . . . . . . . . . . 41--62
D. G. Cacuci and
O. A. Karakashian Benchmarking the propagator method for
nonlinear systems: a
Burgers--Korteweg--de Vries equation . . 63--79
Fady Harfoush and
Allen Taflove and
Gregory A. Kriegsmann Numerical implementation of relativistic
electromagnetic boundary conditions in a
laboratory-frame grid . . . . . . . . . 80--94
J. Steppeler and
I. M. Navon and
H-I Lu Finite-element schemes for extended
integrations of atmospheric models . . . 95--124
Huanan Yang An artificial compression method for ENO
schemes: The slope modification method 125--160
Thomas F. Buttke A fast adaptive vortex method for
patches of constant vorticity in two
dimensions . . . . . . . . . . . . . . . 161--186
Kevin Hood A numerical method for finding the
ground states of one-dimensional systems 187--206
C. Y. Loh and
W. H. Hui A new Lagrangian method for steady
supersonic flow computation I. Godunov
scheme . . . . . . . . . . . . . . . . . 207--240
Ronald B. Morgan Davidson's method and preconditioning
for generalized eigenvalue problems . . 241--245
Ch Foidl and
P. Kasperkovitz Systematic generation of linear graphs
--- Check and extension of the list of
Uhlenbeck and Ford . . . . . . . . . . . 246--250
Harry E. Bailey and
Richard M. Beam Newton's method applied to
finite-difference approximations for the
steady-state compressible Navier--Stokes
equations . . . . . . . . . . . . . . . 251--251
A. Brandt and
Irad Yavneh Inadequacy of first-order upwind
difference schemes for some
recirculating flows . . . . . . . . . . 251--251
Paolo Luchini A deferred-correction multigrid
algorithm based on a new smoother for
the Navier--Stokes equations . . . . . . 251--251
N. Ashgriz and
J. Y. Poo Flair: Flux line-segment model for
advection and interface reconstruction 251--252
P. D. Drummond and
I. K. Mortimer Computer simulations of multiplicative
stochastic differential equations . . . 252--252
De-kang Mao A treatment of discontinuities in
shock-capturing finite difference
methods . . . . . . . . . . . . . . . . 252--252
Terry L. Clark and
William D. Hall Multi-domain simulations of the
time-dependent Navier--Stokes equations:
Benchmark error analysis of some nesting
procedures . . . . . . . . . . . . . . . 252--253
O. Besson and
J. Bourgeois and
P.-A Chevalier and
J. Rappaz and
R. Touzani Numerical modeling of electromagnetic
casting processes . . . . . . . . . . . 253--253
Alex Freedman and
Steven P. Auerbach Numerically induced stochasticity . . . 253--253
Hung Le and
Parviz Moin An improvement of fractional-step
methods for the incompressible
Navier--Stokes equations . . . . . . . . 253--253
Steven P. Auerbach and
Alex Friedman Long-time behavior of numerically
computed orbits: Small and intermediate
timestep analysis of one-dimensional
systems . . . . . . . . . . . . . . . . 253--254
B. Q. Li and
J. W. Evans Boundary element solution of heat
convection-diffusion problems . . . . . 254--254
V. K. Saxena and
L. L. Van Zandt and
W. K. Schroll Closed form solution for localized modes
on a polymer chain with a defect . . . . 254--254
Akira Aoyagi and
Kanji Abe Runge--Kutta smoother for suppression of
computational-mode instability of leap
frog scheme . . . . . . . . . . . . . . 254--255
I. Christie and
G. H. Ganser and
J. M. Sanz-Serna Numerical solution of a hyperbolic
system of conservation laws with source
term arising in a fluidized bed model 255--255
Stuart B. Cohen and
Ivan N. Krischner Approximating the Dirac distribution for
Fourier analysis . . . . . . . . . . . . 255--255
Michael Renardy and
Yuriko Renardy On the nature of boundary conditions for
flows with moving free surfaces . . . . 255--255
D. R. Mikkelsen Solution of the Fokker--Planck equation
with mixing of angular harmonics by
beam-beam charge exchange . . . . . . . 256--256
San Yih Lin and
Yisong Yang Computation of superconductivity in thin
films . . . . . . . . . . . . . . . . . 257--275
Marcel Vinokur and
Jean-Louis Montagné Generalized flux-vector splitting and
Roe average for an equilibrium real gas 276--300
Georges-Henri Cottet A particle-grid superposition method for
the Navier--Stokes equations . . . . . . 301--318
Min Eig Lee and
S. I. Hariharan and
Nathan Ida Solving time-dependent two-dimensional
eddy current problems . . . . . . . . . 319--348
R. M. Furzeland and
J. G. Verwer and
P. A. Zegeling A numerical study of three moving-grid
methods for one-dimensional partial
differential equations which are based
on the method of lines . . . . . . . . . 349--388
Charles-Henri Bruneau and
Claude Jouron An efficient scheme for solving steady
incompressible Navier--Stokes equations 389--413
Zi-Cai Li and
Rudolf Mathon Boundary approximation methods for
solving elliptic problems on unbounded
domains . . . . . . . . . . . . . . . . 414--431
Juan J. Morales and
María J. Nuevo and
Luis F. Rull Statistical error methods in computer
simulations . . . . . . . . . . . . . . 432--438
Kevin W. Thompson Time-dependent boundary conditions for
hyperbolic systems, II . . . . . . . . . 439--461
Giuseppe Paruolo A vector-efficient and memory-saving
interpolation algorithm for PIC codes on
a Cray X-MP . . . . . . . . . . . . . . 462--482
F. Shokoohi and
H. G. Elrod Algorithms for Eulerian treatment of jet
breakup induced by surface tension . . . 483--487
Tatsuoki Takeda and
Shinji Tokuda Computation of MHD equilibrium of
tokamak plasma (review article) . . . . 488--488
Fumio Yoshino and
Tatsuo Hayashi and
Ryoji Waka A method of self-pursued boundary value
on a body and the Magnus effect
calculated with this method . . . . . . 488--488
Murli M. Gupta High accuracy solutions of
incompressible Navier--Stokes equations 488--489
Qianshun Chang and
Goubin Wang and
Boling Guo Conservative scheme for a model of
nonlinear dispersive waves and its
solitary waves induced by boundary
motion . . . . . . . . . . . . . . . . . 489--489
A. R. Osborne Nonlinear Fourier analysis for the
infinite-interval Korteweg--de Vries
equation I: An algorithm for the direct
scattering transform . . . . . . . . . . 489--489
A. Provenzale and
A. R. Osborne Nonlinear Fourier analysis for the
infinite-interval Korteweg--de Vries
equation II: Numerical tests of the
direct scattering transform . . . . . . 489--489
Mark R. Schumack and
William W. Schultz and
John P. Boyd Spectral method solution of the Stokes
equations on nonstaggered grids . . . . 489--490
P. S. Cally An inverse coordinate multigrid method
for free boundary magnetohydrostatics 490--490
R. P. Ratowsky and
J. A. Fleck, Jr. Treatment of angular derivatives in the
Schrödinger equation by the finite
Fourier series method . . . . . . . . . 490--490
A. S. Umar and
J. Wu and
M. R. Strayer and
C. Bottcher Basis-spline collocation method for the
lattice solution of boundary value
problems . . . . . . . . . . . . . . . . 490--490
C. Leforestier and
O. Roncero and
R. Bisseling and
C. Cerjan and
M. D. Feit and
R. Friesner and
A. Guldberg and
A. Hammerich and
R. Kosloff and
G. Jolicard and
W. Karrlein and
H.-D Meyer and
N. Lipkin A comparison of different propagation
schemes for the time-dependent
Schrödinger equation . . . . . . . . . . 490--491
Anonymous Author index for volume 89 . . . . . . . 492--492
G. Chesshire and
W. D. Henshaw Composite overlapping meshes for the
solution of partial differential
equations . . . . . . . . . . . . . . . 1--64
P. Degond and
F. Guyot-Delaurens Particle simulations of the
semiconductor Boltzmann equation for
one-dimensional inhomogeneous structures 65--97
M. Kirby and
J. Boris and
L. Sirovich An eigenfunction analysis of
axisymmetric jet flow . . . . . . . . . 98--122
J. M. Delaurentis and
L. A. Romero A Monte Carlo method for Poisson's
equation . . . . . . . . . . . . . . . . 123--140
Thomas W. Roberts The behavior of flux difference
splitting schemes near slowly moving
shock waves . . . . . . . . . . . . . . 141--160
Gunter Dueck and
Tobias Scheuer Threshold accepting: a general purpose
optimization algorithm appearing
superior to simulated annealing . . . . 161--175
Nathaniel Whitaker Numerical solution of the Hele--Shaw
equations . . . . . . . . . . . . . . . 176--199
A. J. Huizing and
B. L. G. Bakker The solution of Faddeev integral
equations for three-body scattering by
means of B-splines . . . . . . . . . . . 200--218
John W. Goodrich and
Karl Gustafson and
Kadosa Halasi Hopf bifurcation in the driven cavity 219--261
José M. Martí and
José M. Ibáñez and
Juan A. Miralles Stellar hydrodynamics with Glaister's
Riemann solver: An approach to the
stellar collapse . . . . . . . . . . . . 262--266
R. I. Issa and
A. D. Gosman and
B. Ahmadi-Befrui and
K. R. Beshay Solution of the implicitly discretized
reacting flow equations by
operator-splitting . . . . . . . . . . . 267--267
George H. Rawitscher Accuracy analysis of a Bessel spectral
on method for the solution of scattering
equations . . . . . . . . . . . . . . . 267--267
Moshe Rosenfeld and
Dochan Kwak and
Marxel Vinokur A fractional step solution method for
the unsteady incompressible
Navier--Stokes equations in generalized
coordinate systems . . . . . . . . . . . 267--267
Irfan Altas and
John W. Stephenson A two-dimensional adaptive mesh
generation method . . . . . . . . . . . 268--268
Dale B. Haidvogel and
John L. Wilkin and
Roberta Young A semi-spectral primitive equation ocean
circulation model using vertical sigma
and orthogonal curvilinear horizontal
coordinates . . . . . . . . . . . . . . 268--268
T. Kurki-Suonio and
T. Tajima Transport model of optical beams in a
plasma . . . . . . . . . . . . . . . . . 268--268
Masatoshi Saitou and
Elizaburo Kanda and
Mitsuo Kawashima A numerical solution of the steady
solidification problem in two dimensions
by boundary-fitted coordinate systems 268--268
Leesa M. Brieger and
Ernesto Bonomi A stochastic cellular automation model
of non-linear diffusion and diffusion
with reaction . . . . . . . . . . . . . 269--269
Gerhard Landl and
F. Kauffmann and
Thomas Langthaler and
Heinz W. Engi Distribution of event times in
time-resolved fluorescence: the
exponential series approach ---
algorithm, regularization, analysis . . 269--269
G. Prisco Optimization of direct simulation Monte
Carlo (DSMC) codes for vector processing 269--269
J. A. Viecelli and
E. H. Canfield, Jr. Functional representation of power-law
random fields and times series . . . . . 269--270
Dan Givoli Non-reflecting boundary conditions: a
review . . . . . . . . . . . . . . . . . 270--270
E. J. Horowitz Notes to appear on computing
eletrostatic field lines for
two-dimensional vacuum field in the
neighborhood of localized regions of
charge . . . . . . . . . . . . . . . . . 270--270
Mei Kobayashi Sturm--Liouville systems with
potentials: $ 0.5 \cos I n x $ . . . . . 270--270
Ramesh Natarajan Finite-element applications on a
shared-memory multiproccessor ---
algorithms and experimental results . . 270--270
H. Reiman and
N. Pomphrey Computation of magnetic coordinates and
action-angle variables . . . . . . . . . 270--270
Dimitri J. Mavriplis Adaptive mesh generation for viscous
flows using triangulation . . . . . . . 271--291
Alex Friedman A second-order implicit particle mover
with adjustable damping . . . . . . . . 292--312
A. F. Bakker and
G. H. Gilmer and
M. H. Grabow and
K. Thompson A Special Purpose Computer for Molecular
Dynamics Calculations . . . . . . . . . 313--335
William Layton On the principal axes of diffusion in
difference schemes for 2d transport
problems . . . . . . . . . . . . . . . . 336--347
A. Brandt and
A. A. Lubrecht Multilevel matrix multiplication and
fast solution of integral equations . . 348--370
Jian-Shun Shuen and
Meng-Sing Liou and
Bram Van Leer Inviscid flux-splitting algorithms for
real gases with non-equilibrium
chemistry . . . . . . . . . . . . . . . 371--395
Balasubramaniam Ramaswamy Numerical simulation of unsteady viscous
free surface flow . . . . . . . . . . . 396--430
A. Ghizzo and
P. Bertrand and
M. M. Shoucri and
T. W. Johnston and
E. Fualkow and
M. R. Feix A Vlasov code for the numerical
simulation of stimulated Raman
scattering . . . . . . . . . . . . . . . 431--457
M. S. Hall A comparison of first and second order
rezoned and Lagrangian Godunov solutions 458--485
Charlotte Froese Fischer and
W. Guo Spline algorithms for the Hartree--Fock
equation for the helium ground state . . 486--496
D. P. O'Leary and
G. W. Stewart Computing the eigenvalues and
eigenvectors of symmetric arrowhead
matrices . . . . . . . . . . . . . . . . 497--505
Anonymous Abstracts of papers to appear in future
issues . . . . . . . . . . . . . . . . . 506--509
Anonymous Author index for volume 90 . . . . . . . 510--510
Alexandre Joel Chorin Hairpin removal in vortex interactions 1--21
Rainald Löhner and
John Ambrosiano A vectorized particle tracer for
unstructured grids . . . . . . . . . . . 22--31
S. Acharya and
F. H. Moukalled An adaptive grid solution procedure for
convection-diffusion problems . . . . . 32--54
Lars Ferm Open boundary conditions for external
flow problems . . . . . . . . . . . . . 55--70
Dusan Odstrcil A new optimized FCT algorithm for shock
wave problems . . . . . . . . . . . . . 71--93
H. H. Dannelongue and
P. A. Tanguy Efficient data structures for adaptive
remeshing with the FEM . . . . . . . . . 94--109
Hyuk Lee and
In Seok Kang Neural algorithm for solving
differential equations . . . . . . . . . 110--131
Zai-Sha Mao and
A. E. Dukler The motion of Taylor bubbles in vertical
tubes. I. A numerical simulation for the
shape and rise velocity of Taylor
bubbles in stagnant and flowing liquid 132--160
Erik Dick Multigrid formulation of polynomial
flux-difference splitting for steady
Euler equations . . . . . . . . . . . . 161--173
A. Bayliss and
R. Kuske and
B. J. Matkowsky A two-dimensional adaptive
pseudo-spectral method . . . . . . . . . 174--196
W. Schröder and
H. B. Keller Wavy Taylor-vortex flows via
multigrid-continuation methods . . . . . 197--227
G. B. McFadden and
B. T. Murray and
R. F. Boisvert Elimination of spurious eigenvalues in
the Chebyshev tau spectral method . . . 228--239
E. Ley-Koo and
Carlos F. Bunge New method to evaluate atomic
electron-repulsion integrals . . . . . . 240--245
Anonymous Corrigendum . . . . . . . . . . . . . . 246--246
Anonymous Announcements . . . . . . . . . . . . . 247--248
D. F. Hawken and
J. J. Gottlieb and
J. S. Hansen Review of some adaptive node-movement
techniques in finite-element and
finite-difference solutions of partial
differential equations . . . . . . . . . 249--249
S. P. Hirshman and
O. Betancourt Preconditioned descent algorithm for
rapid calculations of
magnetohydrodynamic equilibria . . . . . 249--249
F. Sotiropoulos and
S. Abdallah The discrete continuity equation in
primitive variable solutions of
incompressible flow . . . . . . . . . . 249--249
H. Boing and
K. Werner and
H. Jackisch Construction of the entropy solution of
hyperbolic conservation laws by a
geometrical interpretation of the
conservation principle . . . . . . . . . 250--250
Arkady S. Dvinsky Adaptive grid generation from harmonic
maps on Riemannian manifolds . . . . . . 250--250
Zhi Yun Lu and
Timothy J. Ross Diffusing-vortex numerical scheme for
solving incompressible Navier--Stokes
equations . . . . . . . . . . . . . . . 250--251
C. J. Budd and
A. A. Wheeler A numerical scheme for the solution of
the space charge problem on a multiply
connected region . . . . . . . . . . . . 251--251
Henner Eisen and
Wilhelm Heinrichs and
Kristian Witsch Spectral collocation methods and polar
coordinate singularities . . . . . . . . 251--251
Man Mohan Rai and
Parvis Moin Direct simulations of turbulent flow
using finite-difference schemes . . . . 251--251
A. Friedman and
S. E. Parker and
S. L. Ray and
C. K. Birdsall Multi-scale particle-in-cell plasma
simulation . . . . . . . . . . . . . . . 252--252
William S. Lawson and
Perry C. Gray Heat flow between species in
one-dimensional particle plasma
simulations . . . . . . . . . . . . . . 252--252
George Mesina and
Charles Hall Iterative solution of Navier--Stokes
dual variable difference equations . . . 252--252
Geertjan Huiskamp Difference formulas for the surface
Laplacian on a triangulated surface . . 252--253
J. E. Boillat and
F. Bruge and
P. G. Kropf A dynamic load balancing algorithm for
molecular dynamics simulation on
multiprocessor systems . . . . . . . . . 253--253
Prabir Daripa Solvability condition and its
application to fast numerical solution
of overposed inverse problems in
compressible flows . . . . . . . . . . . 253--253
A. R. Mitchell and
B. A. Murray and
B. D. Sleeman Numerical solution of Hamiltonian
systems in reaction diffusion by
symplectic difference schemes . . . . . 253--253
S. Bouaoudia and
P. S. Marcus Fast and accurate spectral treatment of
coordinate singularities . . . . . . . . 254--254
Prabir Daripa On a numerical method for
quasi-confirmal grid generation . . . . 254--254
P. Demaret and
M. O. Deville Chebyshev collocation solutions of the
Navier--Stokes equations using
multi-domain decomposition and finite
element preconditioning . . . . . . . . 254--254
Hafez Kobeissi and
Ali El-Hajj and
Munif Kobersi A simplified shooting method for the
diatomic Eigenvalue problem . . . . . . 254--254
Jie Shen Hopf bifurcation of the unsteady
regularized driven cavity flow . . . . . 254--254
Stanly Steinberg and
Patrick J. Roache Anomalies in grid generation on curves 255--277
Scott B. Baden and
Elbridge Gerry Puckett A fast vortex method for computing $2$D
viscous flow . . . . . . . . . . . . . . 278--297
P. Joly and
R. Eymard Preconditioned biconjugate gradient
methods for numerical reservoir
simulation . . . . . . . . . . . . . . . 298--309
Claudio Canuto and
Paola Pietra Boundary and interface conditions within
a finite element preconditioner for
spectral methods . . . . . . . . . . . . 310--343
Thomas J. Yorkey Electrical impedance tomography with
piecewise polynomial conductivities . . 344--360
L. Bilbao A three-dimensional Lagrangian method
for fluid dynamics . . . . . . . . . . . 361--380
Bengt Fornberg An improved pseudospectral method for
initial-boundary value problems . . . . 381--397
Jong-Youb Sa and
Keun-Shik Chang On far-field stream function condition
for two-dimensional incompressible flows 398--412
J. R. Cash and
A. D. Raptis and
T. E. Simos A sixth-order exponentially fitted
method for the numerical solution of the
radial Schrödinger equation . . . . . . . 413--423
N. Grandjouan The modified equation approach to
flux-corrected transport . . . . . . . . 424--440
L. R. T. Gardner and
G. A. Gardner Solitary waves of the regularised
long-wave equation . . . . . . . . . . . 441--459
J. Oreg and
W. H. Goldstein and
A. Bar-Shalom and
M. Klapisch Configuration average of general
$n$-body symmetrical tensor operators 460--477
Yongwei Xia and
Georges Pananakakis and
Georges Kamarinos Numerical simulation of the
current-voltage characteristics of MIS
tunnel devices . . . . . . . . . . . . . 478--485
W. Barten and
M. Lücke and
M. Kamps Conservation and breaking of mirror
symmetry in a numerical simulation of
vortex flow . . . . . . . . . . . . . . 486--489
Donald Greenspan A counterexample of the use of energy as
a measure of computational accuracy . . 490--494
Iain D. Boyd Vectorization of a Monte Carlo
simulation scheme for nonequilibrium gas
dynamics . . . . . . . . . . . . . . . . 495--495
L. S. Mulholland and
D. M. Sloan The effect of filtering on the
pseudospectral solution of evolutionary
partial differential equations . . . . . 495--495
Omar M. Knio and
Ahmed F. Ghoniem Three-dimensional vortex simulation of
rollup and entrainment in a shear layer 495--496
K. Hsu and
S. L. Lee A numerical technique for
two-dimensional grid generation with
grid control at all of the boundaries 496--496
Sumanth Kaushik and
Peter L. Hagelstein The application of the preconditioned
biconjugate gradient algorithm to NLTE
rate matrix equations . . . . . . . . . 496--496
M. F. Maritz and
S. W. Schoombie Exact analysis of nonlinear instability
in a discrete Burgers' equation . . . . 496--496
Anonymous Notes to appear . . . . . . . . . . . . 497--497
J. U. Brackbill FLIP MHD: a particle-in-cell method for
magnetohydrodynamics . . . . . . . . . . 497--497
David A. Kopriva Multidomain spectral solution of the
Euler gas-dynamics equations . . . . . . 497--497
Lorraine G. Olson and
Georgios C. Georgiou and
William W. Schultz An efficient finite element method for
treating singularities in Laplace's
equation . . . . . . . . . . . . . . . . 497--497
Anonymous Author index for volume 91 . . . . . . . 498--498
David P. Young and
Robin G. Melvin and
Michael B. Bieterman and
Forrester T. Johnson and
Satish S. Samant and
John E. Bussoletti A locally refined rectangular grid
finite element method: Application to
computational fluid dynamics and
computational physics . . . . . . . . . 1--66
V. S. Melezhik New method for solving multidimensional
scattering problem . . . . . . . . . . . 67--81
Wei Shyy and
Thi C. Vu On the adoption of velocity variable and
grid system for fluid flow computation
in curvilinear coordinates . . . . . . . 82--105
Lei Gong-Yan A family of methods for the solution of
lattice models . . . . . . . . . . . . . 106--141
C. Richard DeVore Flux-corrected transport techniques for
multidimensional compressible
magnetohydrodynamics . . . . . . . . . . 142--160
D. Mansutti and
G. Graziani and
R. Piva A discrete vector potential model for
unsteady incompressible viscous flows 161--184
P. W. Rambo and
J. Denavit Fluid and field algorithms for
time-implicit plasma simulation . . . . 185--212
R. E. Robson and
K. F. Ness and
G. E. Sneddon and
Larry A. Viehland Comment on the discrete ordinate method
in the kinetic theory of gases . . . . . 213--229
J. Candy and
W. Rozmus A symplectic integration algorithm for
separable Hamiltonian functions . . . . 230--256
Anonymous Abstract of papers to appear in future
issues . . . . . . . . . . . . . . . . . 257--259
A. K. Mazur and
V. E. Dorofeev and
R. A. Abagyan Derivation and testing of explicit
equations of motion for polymers
described by internal coordinates . . . 261--272
B. Einfeldt and
C. D. Munz and
P. L. Roe and
B. Sjögreen On Godunov-type methods near low
densities . . . . . . . . . . . . . . . 273--295
Richard B. Pelz The parallel Fourier pseudospectral
method . . . . . . . . . . . . . . . . . 296--312
Saulo R. M. Barros Multigrid methods for two- and
three-dimensional Poisson-type equations
on the sphere . . . . . . . . . . . . . 313--348
Paolo Luchini A deferred-correction multigrid
algorithm based on a new smoother for
the Navier--Stokes equations . . . . . . 349--368
Hung Le and
Parviz Moin An improvement of fractional step
methods for the incompressible
Navier--Stokes equations . . . . . . . . 369--379
Paul F. Fischer and
Anthony T. Patera Parallel spectral element solution of
the Stokes problem . . . . . . . . . . . 380--421
De-kang Mao A treatment of discontinuities in
shock-capturing finite difference
methods . . . . . . . . . . . . . . . . 422--455
Terry L. Clark and
William D. Hall Multi-domain simulations of the time
dependent Navier--Stokes equations:
Benchmark error analysis of some nesting
procedures . . . . . . . . . . . . . . . 456--481
O. Besson and
J. Bourgeois and
P.-A Chevalier and
J. Rappaz and
R. Touzani Numerical modelling of electromagnetic
casting processes . . . . . . . . . . . 482--507
Anonymous Abstracts of papers to appear in future
issues . . . . . . . . . . . . . . . . . 508--510
Anonymous Author index for volume 92 . . . . . . . 511--511
Tatsuoki Takeda and
Shinji Tokuda Computation of MHD equilibrium of
tokamak plasma . . . . . . . . . . . . . 1--107
Harry E. Bailey and
Richard M. Beam Newton's method applied to
finite-difference approximations for the
steady-state compressible Navier--Stokes
equations . . . . . . . . . . . . . . . 108--127
A. Brandt and
I. Yavneh Inadequacy of first-order upwind
difference schemes for some
recirculating flows . . . . . . . . . . 128--143
P. D. Drummond and
I. K. Mortimer Computer simulations of multiplicative
stochastic differential equations . . . 144--170
Alex Friedman and
Steven P. Auerbach Numerically induced stochasticity . . . 171--188
Steven P. Auerbach and
Alex Friedman Long-time behaviour of numerically
computed orbits: Small and intermediate
timestep analysis of one-dimensional
systems . . . . . . . . . . . . . . . . 189--223
Fumio Yoshino and
Tatsuo Hayashi and
Ryoti Waka A method of self-pursued boundary value
on a body and the Magnus effect
calculated with this method . . . . . . 224--249
John P. Boyd The Arctan/Tan and Kepler--Burger
mappings for periodic solutions with a
shock, internal boundary layer . . . . . 250--250
Henrik O. Normark Rezoning for higher order vortex methods 250--250
F. Lafon and
S. Osher High order filtering methods for
approximating hyperbolic systems for
conservation laws . . . . . . . . . . . 250--251
John K. Dukowicz Vorticity errors in multidimensional
Lagrangian codes . . . . . . . . . . . . 251--251
Andre H. Juffer and
Herman J. C. Berendsen The electric potential of a
macromolecule in a solvent: a
fundamental approach . . . . . . . . . . 251--251
C. Grossman Enclosures of the solution of the
Thomas--Fermi equations by Monotone
discretization . . . . . . . . . . . . . 252--252
Yannis Kalinderis Numerical treatment of grid interfaces
for viscous flows . . . . . . . . . . . 252--252
C. B. Vreugdenhil Accuracy of product-formula algorithms 252--252
R. M. Corless and
D. J. Jeffrey and
H. Rasmussen Numerical evaluation of Airy functions
with complex arguments . . . . . . . . . 252--253
Anonymous Notes to appear . . . . . . . . . . . . 253--253
B. Q. Li and
J. W. Evans Boundary element solution of heat
convection-diffusion problems . . . . . 255--272
V. K. Saxena and
L. L. Van Zandt and
W. K. Schroll Closed form solution for localized modes
on a polymer chain with a defect . . . . 273--286
Akira Aoyagi and
Kanji Abe Runge--Kutta smoother for suppression of
computational-mode instability of
leapfrog scheme . . . . . . . . . . . . 287--296
I. Christie and
G. H. Ganser and
J. M. Sanz-Serna Numerical solution of a hyperbolic
system of conservation laws with source
term arising in a fluidized bed model 297--311
Stuart B. Cohen and
Ivan N. Kirschner Approximating the Dirac distribution for
Fourier analysis . . . . . . . . . . . . 312--324
Michael Renardy and
Yuriko Renardy On the nature of boundary conditions for
flows with moving free surfaces . . . . 325--335
D. R. Mikkelsen Solution of the Fokker--Planck equation
with mixing of angular harmonics by
beam-beam charge exchange . . . . . . . 336--342
Murli M. Gupta High accuracy solutions of
incompressible Navier--Stokes equations 343--359
Qianshun Chang and
Guobin Wang and
Boling Guo Conservative scheme for a model of
nonlinear dispersive waves and its
solitary waves induced by boundary
motion . . . . . . . . . . . . . . . . . 360--375
R. P. Ratowsky and
J. A. Fleck, Jr. Treatment of angular derivatives in the
Schrödinger equation by the finite
Fourier series method . . . . . . . . . 376--387
R. I. Issa and
B. Ahmadi-Befrui and
K. R. Beshay and
A. D. Gosman Solution of the implicitly discretised
reacting flow equations by
operator-splitting . . . . . . . . . . . 388--410
P. S. Cally An inverse coordinate multigrid method
for free boundary magnetohydrostatics 411--425
A. S. Umar and
J. Wu and
M. R. Strayer and
C. Bottcher Basis-spline collocation method for the
lattice solution of boundary value
problems . . . . . . . . . . . . . . . . 426--448
N. Ashgriz and
J. Y. Poo FLAIR: Flux line-segment model for
advection and interface reconstruction 449--468
R. H. Miller A horror story about integration methods 469--476
P. Glaister A Riemann solver for ``barotropic'' row 477--480
David G. Dritschel and
Norman J. Zabusky A new, but flawed, numerical method for
vortex patch evolution in two dimensions 481--484
Thomas F. Buttke The fast adaptive vortex method . . . . 485--485
Silvano Bonazzola and
Jean-Alain Marck A $1$D exact treatment of shock waves
within spectral methods in plane
geometry . . . . . . . . . . . . . . . . 486--486
Kjell Davstad A multigrid conjugate residual method
for the numerical solution of the
Hartree--Fock equation for diatomic
molecules . . . . . . . . . . . . . . . 486--486
Andreas Karageorghis The method of fundamental solutions for
the solution of steady-state free
boundary problems . . . . . . . . . . . 486--486
Stephan B. Wineberg and
Joseph F. McGrath and
Edward F. Gabl and
L. Ridgway Scott and
Charles E. Southwell Implicit spectral methods for wave
propagation problems . . . . . . . . . . 486--486
Paul D. Frank and
Gregory R. Shubin A comparison of optimization-based
approaches for a model computational
aerodynamics design problem . . . . . . 487--487
F. J. Helton and
J. M. Greene A numerical technique for obtaining the
complete bifurcated equilibrium solution
space for a Tokamak . . . . . . . . . . 487--487
K. Tani and
M. Azumi Numerical analysis of $2$D MHD
equilibrium with non-inductive plasma
current in Tokamaks . . . . . . . . . . 487--487
Anonymous Note to appear . . . . . . . . . . . . . 488--488
D. Lee and
Y. M. Tsuei A formula for estimation of truncation
errors of convection terms in a
curvilinear coordinate system . . . . . 488--488
Aparajit J. Mahajan and
Earl H. Dowell and
Donald B. Bliss Eigenvalue calculation procedure for an
Euler/Navier--Stokes solver with
application to flows over airfoils . . . 488--488
Anonymous Author index for volume 3 . . . . . . . 489--489
Dan Givoli Non-reflecting boundary conditions . . . 1--29
Mark R. Schumack and
William W. Schultz and
John P. Boyd Spectral method solution of the Stokes
equations on nonstaggered grids . . . . 30--58
C. Leforestier and
R. H. Bisseling and
C. Cerjan and
M. D. Feit and
R. Friesner and
A. Guldberg and
A. Hammerich and
G. Jolicard and
W. Karrlein and
H.-D Meyer and
N. Lipkin and
O. Roncero and
R. Kosloff A comparison of different propagation
schemes for the time dependent
Schrödinger equation . . . . . . . . . . 59--80
George H. Rawitscher Accuracy analysis of a Bessel spectral
function method for the solution of
scattering equations . . . . . . . . . . 81--101
Moshe Rosenfeld and
Dochan Kwak and
Marcel Vinokur A fractional step solution method for
the unsteady incompressible
Navier--Stokes equations in generalized
coordinate systems . . . . . . . . . . . 102--137
Masatoshi Saitou and
Eizaburo Kanda and
Mitsuo Kawashima A numerical solution of the steady
solidification problem in two dimensions
by boundary-fitted coordinate systems 138--150
Dale B. Haidvogel and
John L. Wilkin and
Roberta Young A semi-spectral primitive equation ocean
circulation model using vertical sigma
and orthogonal curvilinear horizontal
coordinates . . . . . . . . . . . . . . 151--185
T. Kurki-Suonio and
T. Tajima Transport model of optical beams in a
plasma . . . . . . . . . . . . . . . . . 186--200
Irfan Altas and
John W. Stephenson A two-dimensional adaptive mesh
generation method . . . . . . . . . . . 201--224
A. H. Reiman and
N. Pomphrey Computation of magnetic coordinates and
action-angle variables . . . . . . . . . 225--249
D. I. Abramov Quantum inverse scattering problem as a
Cauchy problem . . . . . . . . . . . . . 250--250
Deborah Sulsky A numerical method for suspension flow 250--250
Kenneth S. Breuer and
Richard M. Everson On the errors incurred calculating
derivatives using Chebyshev polynomials 250--251
Ira B. Bernstein and
Leigh Brookshaw A numerical method for solving systems
of linear ordinary differential
equations with rapidly oscillating
solutions . . . . . . . . . . . . . . . 251--251
J. P. Valleau Density-scaling: a new Monte Carlo
technique in statistical mechanics . . . 251--251
Richard P. Beyer, Jr. A computational model of the cochlea
using the immersed boundary method . . . 251--252
Louis J. Durlofsky Triangle based adaptive stencils for the
solution of hyperbolic conservation laws 252--252
T. Hayase and
J. A. C. Humphrey and
R. Greif A consistently formulated quick scheme
for fast and stable convergence using
finite-volume iterative calculation
procedures . . . . . . . . . . . . . . . 252--252
C. Cockerham Vesier and
A. P. Yoganathan A computer method for simulation of
cardiovascular flow fields: Validation
of approach . . . . . . . . . . . . . . 252--252
John M. Greene Locating three-dimensional roots by a
bisection method . . . . . . . . . . . . 253--253
Arthur C. Taylor III Approved unpwind finite volume
relaxation method for high speed viscous
flows . . . . . . . . . . . . . . . . . 253--253
Steven L. Dvorak Numerical computation of $2$D Sommerfeld
integrals --- Decomposition of the
angular integral . . . . . . . . . . . . 253--254
Anonymous Note to appear . . . . . . . . . . . . . 254--254
C. Borgers The asymptotic diffusion limit of a
linear discontinuous discretization of a
two-dimensional linear transport
equation . . . . . . . . . . . . . . . . 254--254
Shuvra Das and
Ambar K. Mitra An algorithm for the solution of inverse
Laplace problems and its application in
flaw identification in materials . . . . 254--254
Boris D. Lubachevsky How to simulate billiards and similar
systems . . . . . . . . . . . . . . . . 255--283
A. R. Osborne Nonlinear Fourier analysis for the
infinite-interval Korteweg--de Vries
equation I: An algorithm for the direct
scattering transform . . . . . . . . . . 284--313
A. Provenzale and
A. R. Osborne Nonlinear Fourier analysis for the
infinite-interval Korteweg--de Vries
equation II: Numerical tests of the
direct scattering transform . . . . . . 314--351
Ramesh Natarajan Finite element applications on a
shared-memory multiprocessor: Algorithms
and experimental results . . . . . . . . 352--381
S. Bramley and
L. Dieci and
R. D. Russell Numerical solution of eigenvalue
problems for linear boundary value ODEs 382--402
Nam-Duk Suh and
Marl R. Feix and
Pierre Bertrand Numerical simulation of the quantum
Liouville--Poisson system . . . . . . . 403--418
Surya Prasad and
S.-K Dinavahi and
S.-K Chow Inverse problem in incompressible,
irrotational axisymmetric flow . . . . . 419--436
P. Tamamidis and
D. N. Assanis Generation of orthogonal grids with
control of spacing . . . . . . . . . . . 437--453
G. Prisco Optimization of direct simulation Monte
Carlo (DSMC) codes for vector processing 454--466
Leesa M. Brieger and
Ernesto Bonomi A stochastic cellular automaton model of
non-linear diffusion and diffusion with
reaction . . . . . . . . . . . . . . . . 467--486
Mei Kobayashi Sturm--Liouville systems with potentials
$ 0.5 \cos 2 n x $ . . . . . . . . . . . 487--493
Anonymous Abstract of papers to appear in future
issues . . . . . . . . . . . . . . . . . 494--497
Anonymous Author index for volume 94 . . . . . . . 498--498
Gerhard Landl and
Thomas Langthaler and
Heinz W. Englt and
Harald F. Kauffmann Distribution of event times in
time-resolved fluorescence: The
exponential series approach-algorithm,
regularization, analysis . . . . . . . . 1--28
J. A. Viecelli and
E. H. Canfield, Jr. Functional representation of power-law
random fields and time series . . . . . 29--39
H. Ming and
K. Werner and
H. Jackisch Construction of the entropy solution of
hyperbolic conservation laws by a
geometrical interpretation of the
conservation principle . . . . . . . . . 40--58
B. Larrouturou How to preserve the mass fractions
positivity when computing compressible
multi-component flows . . . . . . . . . 59--84
G. Caginalp and
E. A. Socolovsky Computation of sharp phase boundaries by
spreading: The planar and spherically
symmetric cases . . . . . . . . . . . . 85--100
Dave Ramsden and
Greg Holloway Timestepping Lagrangian particles in two
dimensional Eulerian flow fields . . . . 101--116
W. D. D'haeseleer and
W. N. G. Hitchon and
J. L. Shohet Self-consistent numerical
``bounce-averaged'' transport
computations in stellarators employing a
mufti-mesh approach . . . . . . . . . . 117--166
R. C. Brower and
N. A. Gross and
K. J. M. Moriarty Accelerated Monte Carlo by embedded
cluster dynamics . . . . . . . . . . . . 167--174
Carlo F. Barenghi Computations of transitions and Taylor
vortices in temporally modulated
Taylor--Couette flow . . . . . . . . . . 175--194
William S. Lawson and
Perry C. Gray Heat flow between species in
one-dimensional particle plasma
simulations . . . . . . . . . . . . . . 195--211
F. Sotiropoulos and
S. Abdallah The discrete continuity equation in
primitive variable solutions of
incompressible flow . . . . . . . . . . 212--227
Jie Shen Hopf bifurcation of the unsteady
regularized driven cavity flow . . . . . 228--245
Anonymous Abstracts of papers to appear in future
issues . . . . . . . . . . . . . . . . . 246--249
Anonymous In memoriam . . . . . . . . . . . . . . 251--253
D. F. Hawken and
J. J. Gottlieb and
J. S. Hansen Review of some adaptive node-movement
techniques in finite-element and
finite-difference solutions of partial
differential equations . . . . . . . . . 254--302
Charlie H. Cooke and
Andrew G. McMorran Asymptotic factorization of operators in
complex time . . . . . . . . . . . . . . 303--312
Jeffrey C. Buell A hybrid numerical method for
three-dimensional spatially-developing
free-shear flows . . . . . . . . . . . . 313--338
A. R. Mitchell and
B. A. Murray and
B. D. Sleeman Numerical solution of Hamiltonian
systems in reaction-diffusion by
symplectic difference schemes . . . . . 339--358
P. Demaret and
M. O. Deville Chebyshev collocation solutions of the
Navier--Stokes equations using
multi-domain decomposition and finite
element preconditioning . . . . . . . . 359--386
F. J. Asencor and
M. Panizo Finite-difference operators in
anisotropic inhomogeneous dielectrics:
General case . . . . . . . . . . . . . . 387--399
Zhi Yun Lu and
Timothy J. Ross Diffusing-vortex numerical scheme for
solving incompressible Navier--Stokes
equations . . . . . . . . . . . . . . . 400--435
Prabir Daripa Solvability condition and its
application to fast numerical solution
of overposed inverse problems in
compressible flows . . . . . . . . . . . 436--449
Arkady S. Dvinsky Adaptive grid generation from harmonic
maps on Riemannian manifolds . . . . . . 450--476
Geertjan Huiskamp Difference formulas for the surface
Laplacian on a triangulated surface . . 477--496
J. Douglas Beason and
David S. Kershaw and
Manoj K. Prasad Using physical insight: The relativistic
Compton scattering kernel for radiative
transfer . . . . . . . . . . . . . . . . 497--504
H. Kobeissi and
K. Fakhreddine The canonical functions method and
singular potentials . . . . . . . . . . 505--510
Anonymous Abstracts of papers to appear in future
issues . . . . . . . . . . . . . . . . . 511--513
Anonymous Author index for volume 95 . . . . . . . 514--514
J. E. Boillat and
F. Brugé and
P. G. Kropf A dynamic load-balancing algorithm for
molecular dynamics simulation on
multi-processor systems . . . . . . . . 1--14
Man Mohan Rai and
Parviz Moin Direct simulations of turbulent flow
using finite-difference schemes . . . . 15--53
A. Friedman and
S. E. Parker and
S. L. Ray and
C. K. Birdsall Multi-scale particle-in-cell plasma
simulation . . . . . . . . . . . . . . . 54--70
George Mesina and
Charles Hall Iterative solution of Navier--Stokes
dual variable difference equations . . . 71--98
S. P. Hirshman and
O. Betancourt Preconditioned descent algorithm for
rapid calculations of
magnetohydrodynamic equilibria . . . . . 99--109
F. Lafon and
S. Osher High order filtering methods for
approximating hyperbolic systems of
conservation laws . . . . . . . . . . . 110--142
T. D. Pointon Slanted conducting boundaries and field
emission of particles in an
electromagnetic particle simulation code 143--162
J. U. Brackbill FLIP MHD: a particle-in-cell method for
magnetohydrodynamics . . . . . . . . . . 163--192
J. P. Valleau Density-scaling: a new Monte Carlo
technique in statistical mechanics . . . 193--216
S. Bouaoudia and
P. S. Marcus Fast and accurate spectral treatment of
coordinate singularities . . . . . . . . 217--223
Filippo Brugé and
Sandro L. Fornili On the systolic calculation of all-pairs
interactions using transputer arrays . . 224--228
Prabir Daripa On a numerical method for
quasi-conformal grid generation . . . . 229--236
Anonymous Abstract of papers to appear in future
issues . . . . . . . . . . . . . . . . . 237--239
Henner Eisen and
Wilhelm Heinrichs and
Kristian Witsch Spectral collocation methods and polar
coordinate singularities . . . . . . . . 241--257
R. N. Barnett and
P. J. Reynolds and
W. A. Lester, Jr. Monte Carlo algorithms for expectation
values of coordinate operators . . . . . 258--276
Kenneth S. Breuer and
Lawrence Sirovich The use of the Karhunen--Lo\`eve
procedure for the calculation of linear
eigenfunctions . . . . . . . . . . . . . 277--296
Philippe R. Spalart and
Robert D. Moser and
Michael M. Rogers Spectral methods for the Navier--Stokes
equations with one infinite and two
periodic directions . . . . . . . . . . 297--324
G. Dipeso and
E. C. Morse and
R. W. Ziolkowski $ \delta f $ and particle simulations of
parametric instabilities . . . . . . . . 325--338
Deborah Sulsky and
J. U. Brackbill A numerical method for suspension flow 339--368
L. S. Mulholland and
D. M. Sloan The effect of filtering on the
pseudospectral solution of evolutionary
partial differential equations . . . . . 369--390
Lorraine G. Olson and
Georgios C. Georgiou and
William W. Schultz An efficient finite element method for
treating singularities in Laplace's
equation . . . . . . . . . . . . . . . . 391--410
Iain D. Boyd Vectorization of a Monte Carlo
simulation scheme for nonequilibrium gas
dynamics . . . . . . . . . . . . . . . . 411--427
David A. Kopriva Multidomain spectral solution of the
Euler gas-dynamics equations . . . . . . 428--450
K. Hsu and
S. L. Lee A numerical technique for
two-dimensional grid generation with
grid control at all of the boundaries 451--469
Hafez Kobeissi and
Ali El-Hajj and
Munif Kobersi A simplified shooting method for the
diatomic eigenvalue problem . . . . . . 470--474
M. D. Matarrese and
A. F. Messiter A numerical method for the self-similar
hypersonic viscous shear layer . . . . . 475--483
Edward J. Caramana Derivation of implicit difference
schemes by the method of differential
approximation . . . . . . . . . . . . . 484--493
Anonymous Author index for volume 96 . . . . . . . 494--494
C. J. Budd and
A. A. Wheeler A numerical scheme for the solution of
the space charge problem on a multiply
connected region . . . . . . . . . . . . 1--29
D. R. Ramona and
P. Sulmont On the accuracy of the spectral
interpolation methods for sampled
pseudoperiodic signals . . . . . . . . . 30--52
Z. Wang and
B. E. Richards High resolution schemes for steady flow
computation . . . . . . . . . . . . . . 53--72
M. F. Maritz and
S. W. Schoombie Exact analysis of nonlinear instability
in a discrete Burgers' equation . . . . 73--90
S. E. Parker and
C. K. Birdsall Numerical error in electron orbits with
large $ \omega_{ce} \Delta t $ . . . . . 91--102
B. Haddad and
F. Clausset and
F. Combes Vectorising the smooth particle
hydrodynamics . . . . . . . . . . . . . 103--126
K. Chen Conjugate gradient methods for the
solution of boundary integral equations
on a piecewise smooth boundary . . . . . 127--143
AndréH Juffer and
Eugen F. F. Botta and
Bert A. M. van Keulen and
Auke van der Ploeg and
Herman J. C. Berendsen The electric potential of a
macromolecule in a solvent: a
fundamental approach . . . . . . . . . . 144--171
Omar M. Knio and
Ahmed F. Ghoniem Three-dimensional vortex simulation of
rollup and entrainment in a shear layer 172--223
Anonymous Note: Semi-implicit particle simulation
of kinetic plasma phenomena . . . . . . 224--234
G. Rowlands A numerical algorithm for Hamiltonian
systems . . . . . . . . . . . . . . . . 235--239
A. C. Allison and
A. D. Raptis and
T. E. Simos An eighth-order formula for the
numerical integration of the
one-dimensional Schrödinger equation . . 240--248
H. C. Yee and
P. K. Sweby and
D. F. Griffiths Dynamical approach study of spurious
steady-state numerical solutions of
nonlinear differential equations. I. The
dynamics of time discretization and its
implications for algorithm development
in computational fluid dynamics . . . . 249--310
Stephen B. Wineberg and
Joseph F. McGrath and
Edward F. Gabl and
L. Ridgway Scott and
Charles E. Southwell Implicit spectral methods for wave
propagation problems . . . . . . . . . . 311--336
C. B. Vreugdenhil Accuracy of product-formula algorithms 337--351
R. Marchand and
J. P. Matte Simulation of ionisation dynamics and
electron kinetics . . . . . . . . . . . 352--365
Henrik O. Nordmark Rezoning for higher order vortex methods 366--397
Aparajit J. Mahajan and
Earl H. Dowell and
Donald B. Bliss Eigenvalue calculation procedure for an
Euler/Navier--Stokes solver with
application to flows over airfoils . . . 398--413
George Em Karniadakis and
Moshe Israeli and
Steven A. Orszag High-order splitting methods for the
incompressible Navier--Stokes equations 414--443
K. Lerbinger and
J. F. Luciani A new semi-implicit method for MHD
computations . . . . . . . . . . . . . . 444--459
R. Verstappen A simple numerical algorithm for
elastohydrodynamic lubrication, based on
a dynamic variation principle . . . . . 460--488
T. W. Patzek and
R. E. Benner, Jr. and
O. A. Basaran and
L. E. Scriven Nonlinear oscillations of inviscid free
drops . . . . . . . . . . . . . . . . . 489--515
D. I. Abramov Quantum inverse scattering problem as a
Cauchy problem . . . . . . . . . . . . . 516--534
Silvano Bonazzola and
Jean-Alain Marck A $1$D exact treatment of shock waves
within spectral methods in plane
geometry . . . . . . . . . . . . . . . . 535--552
Eric J. Horowitz On computing electrostatic field lines
for two-dimensional vacuum fields in the
neighborhood of localized regions of
charge . . . . . . . . . . . . . . . . . 553--558
L. Zaninetti About the time evolving Voronoi
tessellation . . . . . . . . . . . . . . 559--565
G. K. Savvidy and
N. G. Ter-Arutyunyan-Savvidy On the Monte Carlo simulation of
physical systems . . . . . . . . . . . . 566--572
N. Z. Akopov and
G. K. Savvidy and
N. G. Ter-Arutyunyan-Savvidy Matrix generator of pseudorandom numbers 573--579
Roger A. R. Butler and
Edward E. Slaminka An evaluation of the SNIFFER global
optimization algorithm using standard
test functions . . . . . . . . . . . . . 580--580
Ramani Duraiswami and
Andrea Prosperetti Orthogonal mapping in two dimensions . . 580--580
Arthur C. Taylor III and
Wing-fai Ng and
Robert W. Walters Upwind relaxation methods for the
Navier--Stokes equations using inner
iterations . . . . . . . . . . . . . . . 580--580
James A. Sethian and
John Strain Crystal growth and dendritic
solidification . . . . . . . . . . . . . 581--581
G. A. L. Van de Vorst and
R. M. M. Mattheij and
H. K. Kuiken A boundary element solution for
two-dimensional viscous sintering . . . 581--581
Osman Yasar and
Gregory A. Moses Explicit adaptive-grid radiation
magnetohydrodynamics . . . . . . . . . . 581--581
Robert S. Bernard and
Hartmut Kapitza How to discretize the pressure gradient
for curvilinear MAC grids . . . . . . . 582--582
Raymond C. Y. Chin A domain decomposition method for
generating orthogonal polynomials for a
Gaussian weight on a finite interval . . 582--582
Y. Matsuda and
Gary R. Smith A microinstability code for a uniform
magnetized plasma with an arbitrary
distribution function . . . . . . . . . 582--582
Lionel Borne Harmonic Stokes flaw through periodic
porous media. A $3$D boundary element
method . . . . . . . . . . . . . . . . . 582--583
Rogerlo Martins Saldanha da Gama Simulation of the steady-state energy
transfer in rigid bodies, with
convective/radiative boundary
conditions, employing a minimum
principle . . . . . . . . . . . . . . . 583--583
John Strain Fast potential theory II: Layer
potentials and discrete sums . . . . . . 583--583
Salih Ozen Unverdi and
Gretar Tryggvason A front tracking method for viscous,
incompressible, multi-fluid flows . . . 583--584
J. H. Dunn and
S. G. Lambrakos and
P. G. Moore and
M. Nagumo An algorithm for calculating
intramolecular angle-dependent forces on
vector computers . . . . . . . . . . . . 584--584
Jian-Shun Shuen Upwind differencing and $ L U $
factorization for chemical
non-equilibrium Navier--Stokes equations 584--584
H. T. Williams and
Richard R. Silbar Automated angular momentum recoupling
algebra . . . . . . . . . . . . . . . . 584--584
A. Alvarez Linearized Crank--Nicholson scheme for
nonlinear Dirac equations . . . . . . . 585--585
Andrew L. Zachary and
Phillip Colella A higher-order Godunov method for the
equations of ideal magnetohydrodynamics 585--585
Anonymous Author index for volume 97 . . . . . . . 586--586
M. Khalil and
P. Wesseling Vertex-centered and cell-centered
multigrid for interface problems . . . . 1--10
R. Gómez and
J. Winicour and
R. Isaacson Evolution of scalar fields from
characteristic data . . . . . . . . . . 11--25
C. Grossmann Enclosures of the solution of the
Thomas--Fermi equation by monotone
discretization . . . . . . . . . . . . . 26--32
Y. Tahara and
F. Stern and
B. Rosen An interactive approach for calculating
ship boundary layers and wakes for
nonzero Froude number . . . . . . . . . 33--53
Peter K. Moore and
Joseph E. Flaherty Adaptive local overlapping grid methods
for parabolic systems in two space
dimensions . . . . . . . . . . . . . . . 54--63
Louis J. Durlofsky and
Bjorn Engquist and
Stanley Osher Triangle based adaptive stencils for the
solution of hyperbolic conservation laws 64--73
Paul D. Frank and
Gregory R. Shubin A comparison of optimization-based
approaches for a model computational
aerodynamics design problem . . . . . . 74--89
D. Lee and
Y. M. Tsuei A formula for estimation of truncation
errors of convection terms in a
curvilinear coordinate system . . . . . 90--100
F. J. Helton and
J. M. Greene A numerical technique for obtaining the
complete bifurcated equilibrium solution
space for a tokamak . . . . . . . . . . 101--107
T. Hayase and
J. A. C. Humphrey and
R. Greif A consistently formulated QUICK scheme
for fast and stable convergence using
finite-volume iterative calculation
procedures . . . . . . . . . . . . . . . 108--118
Andreas Karageorghis The method of fundamental solutions for
the solution of steady-state free
boundary problems . . . . . . . . . . . 119--128
Yannis Kallinderis Numerical treatment of grid interfaces
for viscous flows . . . . . . . . . . . 129--144
Richard P. Beyer, Jr. A computational model of the cochlea
using the immersed boundary method . . . 145--162
Alejandro Allievi and
Sander M. Calisal Application of Bubnov--Galerkin
formulation to orthogonal grid
generation . . . . . . . . . . . . . . . 163--173
Alex Solomonoff A fast algorithm for spectral
differentiation . . . . . . . . . . . . 174--177
Steven L. Dvorak and
Edward F. Kuester Numerical computation of $2$D Sommerfeld
integrals-decomposition of the angular
integral . . . . . . . . . . . . . . . . 178--178
Steven L. Dvorak and
Edward F. Kuester Numerical computation of $2$D Sommerfeld
integrals --- a novel asymptotic
extraction technique . . . . . . . . . . 178--178
John M. Greene Locating three-dimensional roots by a
bisection method . . . . . . . . . . . . 178--178
John Poyd The Arc Tangent and Kepler--Burger
mappings for periodic solutions with a
shock, front, or internal boundary layer 178--178
James Asethian and
John Train Crystal growth and dendritic
solidification . . . . . . . . . . . . . 178--179
Ira B. Bernstein and
Leigh Brookshaw and
Peter A. Fox A numerical method for solving systems
of linear ordinary differential
equations with rapidly oscillating
solutions . . . . . . . . . . . . . . . 179--179
Christoph Borgers and
Edward W. Larsen and
Marvin L. Adams The asymptotic diffusion limit of a
linear discontinuous discretization of a
two-dimensional linear transport
equation . . . . . . . . . . . . . . . . 179--179
Roger A. R. Butler and
Edward E. Slaminka An evaluation of the sniffer global
optimization algorithm using standard
test functions . . . . . . . . . . . . . 179--179
Ramani Duraiswami and
Andrea Prosperetti Orthogonal mapping in two dimensions . . 179--179
G. te Velde and
E. J. Baerends Numerical integration for polyatomic
systems . . . . . . . . . . . . . . . . 179--179
R. Zanino Hydrodynamic modeling of particle and
angular momentum transport in rotating
tokamak plasmas with impurities . . . . 179--180
Edward J. Caramana and
Robert B. Webster Parameterized solution of
one-dimensional thermal diffusion with a
heat source and a moving boundary . . . 180--180
Shuvra Das and
Ambar K. Mitra An algorithm for the solution of inverse
Laplace problems and its application in
flaw identification in materials . . . . 180--180
Kjell Davstad A multigrid conjugate residual method
for the numerical solution of the
Hartree--Fock equation for diatomic
molecules . . . . . . . . . . . . . . . 180--180
P. W. Rambo and
J. Denavit Time-implicit fluid simulation of
collisional plasmas . . . . . . . . . . 180--180
K. Tani and
M. Azumi and
R. S. Devoto Numerical analysis of ZD MHD equilibrium
with non-inductive plasma current in
tokamaks . . . . . . . . . . . . . . . . 180--180
John P. Boyd The arctan/tan and Kepler--Burgers
mappings for periodic solutions with a
shock, front, or internal boundary layer 181--193
John M. Greene Locating three-dimensional roots by a
bisection method . . . . . . . . . . . . 194--198
Steven L. Dvorak and
Edward F. Kuester Numerical computation of $2$D Sommerfeld
integrals --- Decomposition of the
angular integral . . . . . . . . . . . . 199--216
Steven L. Dvorak and
Edward F. Kuester Numerical computation of $2$D Sommerfeld
integrals --- A novel asymptotic
extraction technique . . . . . . . . . . 217--230
James A. Sethian and
John Straint Crystal growth and dendritic
solidification . . . . . . . . . . . . . 231--253
Ramani Duraiswami and
Andrea Prosperetti Orthogonal mapping in two dimensions . . 254--268
Ira B. Bernstein and
Leigh Brookshaw and
Peter A. Fox A numerical method for solving systems
of linear ordinary differential
equations with rapidly oscillating
solutions . . . . . . . . . . . . . . . 269--284
Christoph Börgers and
Edward W. Larsen and
Marvin L. Adams The asymptotic diffusion limit of a
linear discontinuous discretization of a
two-dimensional linear transport
equation . . . . . . . . . . . . . . . . 285--300
R. Zanino Hydrodynamic modeling of particle and
angular momentum transport in rotating
tokamak plasmas with impurities . . . . 301--316
P. W. Rambo and
J. Denavit Time-implicit fluid simulation of
collisional plasmas . . . . . . . . . . 317--331
K. Tani and
M. Azumi and
R. S. Devoto Numerical analysis of $2$D MHD
equilibrium with non-inductive plasma
current in tokamaks . . . . . . . . . . 332--341
Edward J. Caramana and
Robert B. Webster Parameterized solution of
one-dimensional thermal diffusion with a
heat source and a moving boundary . . . 342--346
Kenneth S. Breuer and
Richard M. Everson On the errors incurred calculating
derivatives using Chebyshev polynomials 347--347
K. N. Christodoulou and
L. E. Scriven Discretization of free surface flows and
other moving boundary problems . . . . . 347--347
R. M. Corless and
D. J. Jeffrey and
H. Rasmussen Numerical evaluation of Airy functions
with complex arguments . . . . . . . . . 347--347
John K. Dukowicz and
Bertrand J. A. Meltz Vorticity errors in multidimensional
Lagrangian codes . . . . . . . . . . . . 347--347
Anantha Krishnan and
Ahmed F. Ghoniem Simulation of rollup and mixing in
Rayleigh--Taylor flow using the
transport-element method . . . . . . . . 347--347
J. E. Romate Absorbing boundary conditions for free
surface waves . . . . . . . . . . . . . 347--348
Alvin K. Benson An anti-spatial-aliasing filter for
explicit modeling and imaging in
inhomogeneous media . . . . . . . . . . 348--348
J. Broeze and
J. E. Romate Absorbing boundary conditions for free
surface wave simulations with a panel
method . . . . . . . . . . . . . . . . . 348--348
L. Demeio The inclusion of collisional effects in
the splitting scheme . . . . . . . . . . 348--348
F. H. Ling and
G. Schmidt Box-counting algorithm and dimensional
analysis of a pulsar . . . . . . . . . . 348--348
Eric Yu Tau Numerical solution of the steady Stokes
equations . . . . . . . . . . . . . . . 348--348
Arthur C. Taylor III and
Wing Fai Ng and
Robert W. Walters An improved upwind finite volume
relaxation method for high speed viscous
flows . . . . . . . . . . . . . . . . . 348--348
Arthur C. Taylor III and
Wing-Fai Ng and
Robert W. Walters Upwind relaxation methods for the
Navier--Stokes equations using inner
iterations . . . . . . . . . . . . . . . 348--348
E. H. Canfield, Jr. and
J. A. Viecelli Random access to a random number
sequence . . . . . . . . . . . . . . . . 349--349
T. Derili and
G. Üçoluk A study of stationary, axially symmetric
space--time geometries satisfying
modified double duality equations using
the exterior calculus package $ X^T R $
for Reduce . . . . . . . . . . . . . . . 349--349
Étienne Forest Sixth-order lie group integrators . . . 349--349
Pablo Martin and
Ricardo Pérez and
Antonio L. Guerrero Two-point quasi-fractional
approximations to the Airy function $
{\rm Ai}(x) $ . . . . . . . . . . . . . 349--349
Donald Reid and
Andrew Chan and
Mustafa Al-Mudares A direct solution of Poisson's equation
in a three-dimensional field-effect
transistor structure . . . . . . . . . . 349--349
J. Steppeler Solution of the shallow water equations
using hybrid grids . . . . . . . . . . . 349--349
Anonymous Author index for volume 98 . . . . . . . 350--350
Anantha Krishnan and
Ahmed F. Ghoniem Simulation of rollup and mixing in
Rayleigh--Taylor flow using the
transport-element method . . . . . . . . 1--27
Roger A. R. Butler and
Edward E. Slaminka An evaluation of the sniffer global
optimization algorithm using standard
test functions . . . . . . . . . . . . . 28--32
Kjell Davstad A multigrid conjugate residual method
for the numerical solution of the
Hartree--Fock equation for diatomic
molecules . . . . . . . . . . . . . . . 33--38
K. N. Christodoulou and
L. E. Scriven Discretization of free surface flows and
other moving boundary problems . . . . . 39--55
Kenneth S. Breuer and
Richard M. Everson On the errors incurred calculating
derivatives using Chebyshev polynomials 56--67
Arthur C. Taylor III and
Wing-Fai Ng and
Robert W. Walters Upwind relaxation methods for the
Navier--Stokes equations using inner
iterations . . . . . . . . . . . . . . . 68--78
Donald Reid and
Andrew Chan and
Mustafa Al-Mudares A direct solution of Poisson's equation
in a three-dimensional field-effect
transistor structure . . . . . . . . . . 79--83
G. te Velde and
E. J. Baerends Numerical integration for polyatomic
systems . . . . . . . . . . . . . . . . 84--98
Shuvra Das and
Ambar K. Mitra An algorithm for the solution of inverse
Laplace problems and its application in
flaw identification in materials . . . . 99--105
R. M. Corless and
D. J. Jeffrey and
H. Rasmussen Numerical evaluation of Airy functions
with complex arguments . . . . . . . . . 106--114
John K. Dukowicz and
Bertrand J. A. Meltz Vorticity errors in multidimensional
Lagrangian codes . . . . . . . . . . . . 115--134
J. E. Romate Absorbing boundary conditions for free
surface waves . . . . . . . . . . . . . 135--145
J. Broeze and
J. E. Romate Absorbing boundary conditions for free
surface wave simulations with a panel
method . . . . . . . . . . . . . . . . . 146--158
Arthur C. Taylor III and
Wing-Fai Ng and
Robert W. Walters An improved upwind finite volume
relaxation method for high speed viscous
flows . . . . . . . . . . . . . . . . . 159--168
T. Dereli and
G. Üçoluk A Study of Stationary, Axially Symmetric
Space--time Geometries Satisfying
Modified Double Duality Equations Using
the Exterior Calculus Package $ {X}^{T
R} $ for REDUCE . . . . . . . . . . . . 169--175
E. H. Canfield, Jr. and
J. A. Viecelli Random access to a random number
sequence . . . . . . . . . . . . . . . . 176--178
Lionel Borne Harmonic Stokes flow through periodic
porous media: a $3$D boundary element
method . . . . . . . . . . . . . . . . . 179--179
J. H. Dunn and
S. G. Lambrakos and
P. G. Moore and
M. Nagumo An algorithm for calculating
intramolecular angle-dependent forces on
vector computers . . . . . . . . . . . . 179--179
Jian-Shun Shuen Upwind differencing and LU factorization
for chemical non-equilibrium
Navier--Stokes equations . . . . . . . . 179--179
John Strain Fast potential theory. II. Layer
potentials and discrete sums . . . . . . 179--179
Robert S. Bernard and
Hartmut Kapitza How to discretize the pressure gradient
for curvilinear MAC grids . . . . . . . 179--180
Raymond C. Y. Chin A domain decomposition method for
generating orthogonal polynomials for a
Gaussian weight on a finite interval . . 180--180
Rogério Martins Saldanha da Gama Simulation of the steady-state energy
transfer in rigid bodies, with
convective/radiative boundary
conditions, employing a minimum
principle . . . . . . . . . . . . . . . 180--180
Y. Matsuda and
Gary R. Smith A microinstability code for a uniform
magnetized plasma with an arbitrary
distribution function . . . . . . . . . 180--180
Salih Ozen Unverdi and
Grétar Tryggvason A front-tracking method for viscous,
incompressible, multi-fluid flows . . . 180--180
H. T. Williams and
Richard R. Silbar Automated angular momentum recoupling
algebra . . . . . . . . . . . . . . . . 180--180
Osman Yasar and
Gregory A. Moses Explicit adaptive-grid radiation
magnetohydrodynamics . . . . . . . . . . 180--180
G. A. L. van de Vorst and
R. M. M. Mattheij and
H. K. Kuiken A boundary element solution for
two-dimensional viscous sintering . . . 180--181
David J. Benson Momentum advection on a staggered mesh 181--181
Aaron L. Fogelson Particle-method solution of
two-dimensional convection-diffusion
equations . . . . . . . . . . . . . . . 181--181
T. Kamimura and
E. Montalvo and
D. C. Barnes and
J. N. Leboeuf and
T. Tajima Implicit particle simulation of
electromagnetic plasma phenomena . . . . 181--181
Anita Mayo The rapid evaluation of volume integrals
of potential theory on general regions 181--181
Wim A. Mulder A high-resolution Euler solver based on
multigrid, semi-coarsening, and defect
correction . . . . . . . . . . . . . . . 181--181
Stanley Steinberg and
Patrick Roache Variational curve and surface grid
generation . . . . . . . . . . . . . . . 181--181
E. Goto Extrapolated surface charge method for
capacity calculation of polygons and
polyhedra . . . . . . . . . . . . . . . 182--182
Alvin K. Benson An anti-spatial-aliasing filter for
explicit modeling and imaging in
inhomogeneous media . . . . . . . . . . 183--189
Eric Yu Tau Numerical solution of the steady Stokes
equations . . . . . . . . . . . . . . . 190--195
F. H. Ling and
G. Schmidt Box-counting algorithm and dimensional
analysis of a pulsar . . . . . . . . . . 196--202
L. Demeio The inclusion of collisional effects in
the splitting scheme . . . . . . . . . . 203--208
Étienne Forest Sixth-order lie group integrators . . . 209--213
Lionel Borne Harmonic Stokes flow through periodic
porous media: a $3$D boundary element
method . . . . . . . . . . . . . . . . . 214--232
Jian-Shun Shuen Upwind differencing and LU factorization
for chemical non-equilibrium
Navier--Stokes equations . . . . . . . . 233--250
John Strain Fast potential theory. II. layer
potentials and discrete sums . . . . . . 251--270
C. Cockerham Vesier and
A. P. Yoganathan A computer method for simulation of
cardiovascular flow fields: Validation
of approach . . . . . . . . . . . . . . 271--287
Robert S. Bernard and
Hartmut Kapitza How to discretize the pressure gradient
for curvilinear MAC grids . . . . . . . 288--298
H. T. Williams and
Richard R. Silbar Automated angular momentum recoupling
algebra . . . . . . . . . . . . . . . . 299--309
Rogério Martins Saldanha da Gama Simulation of the steady-state energy
transfer in rigid bodies, with
convective/radiative boundary
conditions, employing a minimum
principle . . . . . . . . . . . . . . . 310--320
Raymond C. Y. Chin A domain decomposition method for
generating orthogonal polynomials for a
Gaussian weight on a finite interval . . 321--336
Pablo Martín and
Ricardo Pérez and
Antonio L. Guerrero Two-point quasi-fractional
approximations to the Airy function $
{\rm Ai}(x) $ . . . . . . . . . . . . . 337--340
Andrew L. Zachary and
Phillip Colellaz A higher-order Godunov method for the
equations of ideal magnetohydrodynamics 341--347
A. Alvarez Linearized Crank--Nicholson scheme for
nonlinear Dirac equations . . . . . . . 348--350
V. Blum Comparison of coordinated-space
techniques in nuclear mean-field
calculations . . . . . . . . . . . . . . 351--351
R. T. Glassey Approximate solutions to the Zakharov
equations via finite differences . . . . 351--351
D. W. Hewett and
D. J. Larson and
S. Doss Solution of simultaneous partial
differential equations using dynamic
ADI: Solution of the streamlined Darwin
field equations . . . . . . . . . . . . 351--351
James M. Stone Upwind monotonic interpolation methods
for the solution of the time dependent
radiative transfer equation . . . . . . 351--351
Ekkert Tessmer Multi domain Chebyshev--Fourier method
for the solution of the equations of
motion of dynamic elasticity . . . . . . 351--351
M. Vicanek and
N. M. Ghoniem Two-group approach to the kinetics of
particle cluster aggregation . . . . . . 351--351
A. G. Basile A relaxation algorithm for classical
paths as a function of ende points:
Application to the semiclassical
propagator for Far-from-Caustic and
Near-Caustic coditions . . . . . . . . . 352--352
A. Brandt On multigrid solution of high-Reynolds
incompressible entering flows . . . . . 352--352
Tor Flå A numerical energy conserving method for
the DNLS equation . . . . . . . . . . . 352--352
Eric S. Fraga An adaptive mesh refinement method for
nonlinear dispersive wave equations . . 352--352
T. J. Poinsot Boundary conditions for direct
simulations of compressible viscous
flows . . . . . . . . . . . . . . . . . 352--352
S. W. Schoombie A discrete multiple scales analysis of a
discrete version of the Korteweg--de
Vries equation . . . . . . . . . . . . . 352--352
A. J. Wathen Optimal moving grids for time-dependent
partial differential equations . . . . . 352--352
Anonymous Author index for volume 99 . . . . . . . 353--353
Aaron L. Fogelson Particle-method solution of
two-dimensional convection-diffusion
equations . . . . . . . . . . . . . . . 1--16
J. H. Dunn and
S. G. Lambrakos and
P. G. Moore and
M. Nagumo An algorithm for calculating
intramolecular angle-dependent forces on
vector computers . . . . . . . . . . . . 17--24
Salih Ozen Unverdi and
Grétar Tryggvason A front-tracking method for viscous,
incompressible, multi-fluid flows . . . 25--37
Osman Yasar and
Gregory A. Moses Explicit adaptive-grid
radiation-magnetohydrodynamics . . . . . 38--49
G. A. L. van de Vorst and
R. M. M. Mattheij and
H. K. Kuiken A boundary element solution for
two-dimensional viscous sintering . . . 50--63
Yih Nen Jeng and
Jiann Lin Chen Truncation error analysis of the finite
volume method for a model steady
convective equation . . . . . . . . . . 64--76
T. Kamimura and
E. Montalvo and
D. C. Barnes and
J. N. Leboeuf and
T. Tajima Implicit particle simulation of
electromagnetic plasma phenomena . . . . 77--90
Wim A. Mulder A high-resolution Euler solver based on
multigrid, semi-coarsening, and defect
correction . . . . . . . . . . . . . . . 91--104
E. Goto and
Y. Shi and
N. Yoshida Extrapolated surface charge method for
capacity calculation of polygons and
polyhedra . . . . . . . . . . . . . . . 105--115
Kurt Liffman A direct simulation Monte--Carlo method
for cluster coagulation . . . . . . . . 116--127
Ramesh Natarajan An Arnoldi-based iterative scheme for
nonsymmetric matrix pencils arising in
finite element stability problems . . . 128--142
David J. Benson Momentum advection on a staggered mesh 143--162
Stanly Steinberg and
Patrick Roache Variational curve and surface grid
generation . . . . . . . . . . . . . . . 163--178
Hillel Tal-Ezer and
Ronnie Kosloff and
Charles Cerjan Low-order polynomial approximation of
propagators for the time-dependent
Schrödinger equation . . . . . . . . . . 179--187
M. Saitou and
A. Hirata Two-dimensional unsteady solidification
problem calculated by using the
boundary-fitted coordinate system . . . 188--196
M. Manninen and
H. Häkkinen A method for detecting vacancy diffusion
in molecular dynamics . . . . . . . . . 197--199
Dartzi Pan and
S. C. Lee A fixed-stencil non-oscillatory scheme
for hyperbolic systems . . . . . . . . . 200--204
Anonymous Abstract of papers to appear in future
issues . . . . . . . . . . . . . . . . . 205--207
W. Mulder and
S. Osher and
James A. Sethian Computing interface motion in
compressible gas dynamics . . . . . . . 209--228
Y. Matsuda and
Gary R. Smith A microinstability code for a uniform
magnetized plasma with an arbitrary
distribution function . . . . . . . . . 229--235
Anita Mayo The rapid evaluation of volume integrals
of potential theory on general regions 236--245
Ambar K. Mitra Use of eigenfunctions in the
optimization of the grid for the
boundary element method . . . . . . . . 246--252
Henry Granek and
Bruce H. J. McKellar Stability analysis of a non-linear
diffusion-type kinetic equation . . . . 253--269
R. M. S. M. Schulkes Interactions of an elastic solid with a
viscous fluid: Eigenmode analysis . . . 270--283
Prabir Daripa Iterative schemes and algorithms for
adaptive grid generation in one
dimension . . . . . . . . . . . . . . . 284--293
Omar A. Sharafeddin and
H. Ferrel Bowen and
Donald J. Kouri and
David K. Hoffman Numerical evaluation of spherical Bessel
transforms via Fast Fourier Transforms 294--296
Y. Y. Su and
B. Khomami Numerical solution of eigenvalue
problems using spectral techniques . . . 297--305
Heinrich Freistühler and
E. Bruce Pitman A numerical study of a rotationally
degenerate hyperbolic system. Part I.
The Riemann problem . . . . . . . . . . 306--321
R. W. Lardner and
Y. Song A hybrid spectral method for the
three-dimensional numerical modelling of
nonlinear flows in shallow seas . . . . 322--334
J. U. Brackbill and
D. B. Kothe and
C. Zemach A continuum method for modeling surface
tension . . . . . . . . . . . . . . . . 335--354
Ekkehart Tessmer and
David Kessler and
Dan Kosloff and
Alfred Behle Multi-domain Chebyshev--Fourier method
for the solution of the equations of
motion of dynamic elasticity . . . . . . 355--363
V. Blum and
G. Lauritsch and
J. A. Maruhn and
P.-G Reinhard Comparison of coordinate-space
techniques in nuclear mean-field
calculations . . . . . . . . . . . . . . 364--376
R. T. Glassey Approximate solutions to the Zakharov
equations via finite differences . . . . 377--383
Ramesh Natarajan A numerical method for incompressible
viscous flow simulation . . . . . . . . 384--395
Ramesh Natarajan and
Pratap Pattnaik Performance of the conjugate gradient
method on Victor . . . . . . . . . . . . 396--401
James M. Stone and
Dimitri Mihalas Upwind monotonic interpolation methods
for the solution of the time dependent
radiative transfer equation . . . . . . 402--408
Patrick M. Knupp A robust elliptic grid generator . . . . 409--418
J. Steppeler Solution of the shallow water equations
using hybrid grids . . . . . . . . . . . 419--423
Chi-Wang Shu A numerical method for systems of
conservation laws of mixed type
admitting hyperbolic flux splitting . . 424--429
Robert G. Deissler and
Frank B. Molls Effect of spatial resolution on apparent
sensitivity to initial conditions of a
decaying flow as it becomes turbulent 430--432
Richard J. Procassini and
Bruce I. Cohen A comparison of particle-in-cell and
Fokker--Planck methods as applied to the
modelling of auxilliary-heated mirror
plasmas . . . . . . . . . . . . . . . . 433--433
P. A. Ramachandran A numerical solution method for boundary
value problems containing an
undetermined parameter . . . . . . . . . 433--433
A. A. Tseng and
J. Zou and
H. P. Wang and
S. R. H. Hoole Numerical modelling of macro and micro
behaviors of materials in processing: a
review . . . . . . . . . . . . . . . . . 433--433
Thomas Westermann Localization schemes in $2$D
boundary-fitted grids . . . . . . . . . 433--433
Robert L. Higdon Absorbing boundary conditions for
acoustic and elastic waves in stratified
media . . . . . . . . . . . . . . . . . 433--434
Bengt Fornberg A finite difference procedure for a
class of free boundary problems . . . . 434--434
Ben-yu Guo and
Wei-ming Cao A combined spectral-finite element
method for solving two-dimensional
unsteady Navier--Stokes equations . . . 434--434
C. J. Hwang and
S. J. Wu Global and local remeshing algorithms
for compressible flows . . . . . . . . . 434--434
Glenn Ierley and
Brian Spencer and
Rodney Worthing Spectral methods in time for a class of
parabolic partial differential equations 434--434
I. S. Kang Orthogonal grid generation in a $2$D
domain via the boundary integral
technique . . . . . . . . . . . . . . . 434--434
R. A. Renaut Absorbing boundary conditions,
difference operators, and stability . . 434--434
H. Q. Yang and
A. J. Przekwas A comparative study of advanced
shocl-capturing schemes applied to
Burger's equation . . . . . . . . . . . 434--434
S. I. Hariharan and
Yu Ping and
J. R. Scott The domain numerical calculations of
unsteady vortical flows about a flat
plate airfoil . . . . . . . . . . . . . 434--435
H. Guillard and
J. M. Male and
R. Peyret Adaptive spectral methods with
application to mixing layer computations 435--435
W. Shyy and
M.-H. Chen and
R. Mittal and
H. S. Udaykumar On the suppression of numerical
oscillations using a non-linear filter 435--435
Piotr K. Smolarkiewicz and
Georg A. Grell A class of monotone interpolation
schemes . . . . . . . . . . . . . . . . 435--435
John A. Trangenstein and
Richard B. Pember Numerical algorithms for strong
discontinuities in elastic-plastic
solids . . . . . . . . . . . . . . . . . 435--435
Jingyi Zhu and
James Sethian Projection methods coupled to level set
interface techniques . . . . . . . . . . 435--435
Anonymous Author index for volume 100 . . . . . . 436--436
M. Vicanek and
N. M. Ghoniem Two-group approach to the kinetics of
particle cluster aggregation . . . . . . 1--10
D. W. Hewett and
D. J. Larson and
S. Doss Solution of simultaneous partial
differential equations using dynamic
ADI: Solution of the streamlined Darwin
field equations . . . . . . . . . . . . 11--24
D. Gavelek and
T. Erber Shadowing and iterative interpolation
for \vCeby\vsev mixing transformations 25--50
A. J. Wathen Optimal moving grids for time-dependent
partial differential equations . . . . . 51--54
S. W. Schoombie A discrete multiple scales analysis of a
discrete version of the Korteweg--de
Vries equation . . . . . . . . . . . . . 55--70
Tor Flå A numerical energy conserving method for
the DNLS equation . . . . . . . . . . . 71--79
A. G. Basile and
C. G. Gray A relaxation algorithm for classical
paths as a function of end points:
Application to the semiclassical
propagator for far-from-caustic and
near-caustic conditions . . . . . . . . 80--93
Eric S. Fraga and
John Ll. Morris An adaptive mesh refinement method for
nonlinear dispersive wave equations . . 94--103
T. J. Poinsot and
S. K. Lelef Boundary conditions for direct
simulations of compressible viscous
flows . . . . . . . . . . . . . . . . . 104--129
N. H. Risebro and
A. Tveito A front tracking method for conservation
laws in one dimension . . . . . . . . . 130--139
Peter H. Mott and
Ali S. Argon and
Ulrich W. Suter The atomic strain tensor . . . . . . . . 140--150
A. Brandt and
I. Yavneh On multigrid solution of high-Reynolds
incompressible entering flows . . . . . 151--164
F. F. Grinstein and
R. H. Guirguis Effective viscosity in the simulation of
spatially evolving shear flows with
monotonic FCT models . . . . . . . . . . 165--175
Franco Bagnoli and
Raúl Rechtman and
Stefano Ruffo General algorithm for two-dimensional
totalistic cellular automata . . . . . . 176--184
J. A. Sethian and
Jean-Philippe Brunet and
Adam Greenberg and
Jill P. Mesirov Two-dimensional, viscous, incompressible
flow in complex geometries on a
massively parallel processor . . . . . . 185--206
Ben-Yu Guo and
He-Ping Ma and
Wei-Ming Cao and
Hui Huang The Fourier--Chebyshev spectral method
for solving two-dimensional unsteady
vorticity equations . . . . . . . . . . 207--217
L. R. T. Gardner and
G. A. Gardner Solitary waves of the equal width wave
equation . . . . . . . . . . . . . . . . 218--223
S. Dietrich and
H. Dette Correlation length of time series in
statistical simulations . . . . . . . . 224--226
Alvin Bayliss and
Eli Turkel Mappings and accuracy for Chebyshev
pseudo-spectral approximations . . . . . 227--227
Martin Blunt and
Barry Rubin Implicit flux limiting schemes for
petroleum reservoir simulation . . . . . 227--227
J. W. Dold An efficient surface-integral algorithm
applied to unsteady gravity waves . . . 227--227
P. M. Lyster and
J.-N Leboeuf A fluid-ion and particle-electron model
for low-frequency plasma instabilities 227--227
David L. Williamson and
John B. Drake and
James J. Hack and
Rüdiger Jakob and
Paul N. Swarztrauber A standard test set for numerical
approximations to the shallow water
equations in spherical geometry . . . . 227--228
John P. Boyd A fast algorithm for Chebyshev, Fourier,
and sinc interpolation onto an irregular
grid . . . . . . . . . . . . . . . . . . 228--228
Eduard Harabetian A subcell resolution method for viscous
systems of conservation laws . . . . . . 228--228
K. Kontomaris and
T. J. Hanratty and
J. B. McLaughlin An algorithm for tracking fluid
particles in a spectral simulation of
turbulent channel flow . . . . . . . . . 228--228
Johann Reiter An algorithm for deconvolution by the
maximum entropy method with astronomical
applications . . . . . . . . . . . . . . 228--228
Kazuo Takatsuka Extraction of accurate frequencies from
the Fast-Fourier-Transform spectra . . . 228--228
Tao Tang and
S. McKee and
M. W. Reeks A spectral method for the numerical
solutions of a kinetic equation
describing the dispersion of small
particles in a turbulent flow . . . . . 228--228
John A. Scales and
Martin L. Smith and
Terri L. Fischer Global optimization methods for highly
multimodal inverse problems . . . . . . 228--229
P. Le Quéré and
R. Masson and
P. Perrot A Chebyshev collocation algorithm for
$2$-D non-Boussinesq convection . . . . 229--229
J. E. Morel and
J. E. Dendy, Jr. and
Michael L. Hall and
Stephen W. White A cell-centered Lagrangian-mesh
diffusion differencing scheme . . . . . 229--229
J. Peraire and
J. Peiró and
K. Morgan Adaptive remeshing for three-dimensional
compressible flow computations . . . . . 229--229
F. Sotiropoulos and
S. Abdallah A primitive variable method for the
solution of three-dimensional
incompressible viscous flows . . . . . . 229--229
E. L. Vold and
F. Najmabadi and
R. W. Conn Computational implementation of a
coupled plasma-neutral fluid model . . . 229--229
N. A. Pelekasis and
J. A. Tsamopoulos and
G. D. Manolis A hybrid finite-boundary element method
for inviscid flows with free surface . . 231--251
H. Taseli The influence of the boundedness of
polynomial potentials on the spectrum of
the Schrödinger equation . . . . . . . . 252--255
JoséRicardo Figueiredo Performance of five-point differencing
schemes for two-dimensional fluid
transport equations . . . . . . . . . . 256--264
Timothy L. Miller and
Huei-Iin Lu and
Karen A. Butler A fully nonlinear, mixed spectral and
finite difference model for thermally
driven, rotating flows . . . . . . . . . 265--275
Sheng-Tao Yu and
Y.-L Peter Tsai and
Jian-Shun Shuen Three-dimensional calculations of
supersonic reacting flows using an LU
scheme . . . . . . . . . . . . . . . . . 276--286
Ronald B. Morgan Generalizations of Davidson's method for
computing eigenvalues of large
nonsymmetric matrices . . . . . . . . . 287--291
R. C. Swanson and
Eli Turkel On central-difference and upwind schemes 292--306
Thomas Westermann Localization schemes in $2$D
boundary-fitted grids . . . . . . . . . 307--313
Richard Sanders and
Alan Weiser High resolution staggered mesh approach
for nonlinear hyperbolic systems of
conservation laws . . . . . . . . . . . 314--329
D. K. Lee and
S. P. Hirshman Rapid determination of a straight
magnetic coordinate system for
stellarator configurations . . . . . . . 330--333
John B. Bell and
Daniel L. Marcus A second-order projection method for
variable-density flows . . . . . . . . . 334--348
Alvin Bayliss and
Eli Turkel Mappings and accuracy for Chebyshev
pseudo-spectral approximations . . . . . 349--359
Sumanth Kaushik and
Peter L. Hagelstein The application of the preconditioned
biconjugate gradient algorithm to NLTE
rate matrix equations . . . . . . . . . 360--367
P. Luchini and
F. Manzo A fast conformal mapping algorithm with
no FFT . . . . . . . . . . . . . . . . . 368--374
Ben-Yu Guo and
Wei-Ming Cao A combined spectral-finite element
method for solving two-dimensional
unsteady Navier--Stokes equations . . . 375--385
Robert L. Higdon Absorbing boundary conditions for
acoustic and elastic waves in stratified
media . . . . . . . . . . . . . . . . . 386--418
S. I. Hariharan and
Yu Ping and
J. R. Scott Time domain numerical calculations of
unsteady vortical flows about a flat
plate airfoil . . . . . . . . . . . . . 419--430
Piotr K. Smolarkiewicz and
Georg A. Grell A class of monotone interpolation
schemes . . . . . . . . . . . . . . . . 431--440
Alex Mahalov and
Sidney Leibovich On the calculation of coupling
coefficients in amplitude equations . . 441--444
Sylvie Fabre Stability analysis of the Euler--Poisson
equations . . . . . . . . . . . . . . . 445--451
Sadhan K. Adhikari Complex Kohn variation principle for the
solution of Lippmann--Schwinger
equations . . . . . . . . . . . . . . . 452--452
O. Daube Resolution of the $2$D Navier--Stokes
equations in velocity-vorticity form by
means of an influence matrix technique 452--452
T. R. Harley and
C. Z. Cheng and
S. C. Jardin The computation of resistive MHD
instabilities in axisymmetric toroidal
plasmas . . . . . . . . . . . . . . . . 452--452
I.-Tai Lu and
H. K. Jung and
C. M. Tsai Hybrid combinations of global and local
operators for solving Helmholtz and
Poisson equations . . . . . . . . . . . 452--452
P. Nelson and
D. L. Seth and
A. K. Ray A computational study of the
discretization error in the solution of
the Spencer--Lewis equation by doubling
applied to the upwind finite-difference
approximation . . . . . . . . . . . . . 452--452
P. A. Zegeling and
J. G. Blom An evaluation of the gradient-weighted
moving-finite-element method in one
space dimension . . . . . . . . . . . . 452--452
M. S. Chu and
J. M. Greene and
M. Klasky and
M. S. Chance Numerical study of a singular
differential equation relevant for the
finite $ \beta $ tearing mode in a
toroidal plasma . . . . . . . . . . . . 453--453
R. L. Herman and
C. J. Knickerbocker Numerically induced phase shift in the
KdV soliton . . . . . . . . . . . . . . 453--453
Dana Hobson An efficient method for computing
invariant manifolds of planar maps . . . 453--453
S. E. Parker and
R. J. Procassini and
C. K. Birdsall and
B. I. Cohen A suitable boundary condition for
bounded plasma simulation without sheath
resolution . . . . . . . . . . . . . . . 453--453
M. Saleem and
T. Pulliam and
A. Y. Cheer Acceleration of convergence and spectrum
transformation of implicit finite
difference operators associated with
Navier--Stokes equations . . . . . . . . 453--453
S. A. Silling Stability and accuracy of differencing
methods for viscoplastic models in
wavecodes . . . . . . . . . . . . . . . 453--453
Darren De Zeeuw and
Kenneth G. Powell An adaptively-refined Cartesian mesh
solver for the Euler equations . . . . . 453--454
F. Brug\`e Systolic calculation of pair
interactions using the cell linked-lists
method on multi-processor systems . . . 454--454
G. Q. Chen and
Z. Gao and
Z. F. Yang A perturbational $ h^4 $ exponential
finite difference scheme for the
convective diffusion equation . . . . . 454--454
K. Ramakrishna and
I. M. Cohen and
P. S. Ayyaswamy Numerical methods for two-dimensional
analysis of electrical breakdown in a
non-uniform gap . . . . . . . . . . . . 454--454
Anonymous Author index for volume 101 . . . . . . 455--455
A. A. Tseng and
J. Zou and
H. P. Wang and
S. R. H. Hoole Numerical modeling of macro and micro
behaviors of materials in processing: a
review . . . . . . . . . . . . . . . . . 1--17
David A. Kosower Octopus: An efficient phase space
mapping for light particles . . . . . . 18--38
Richard J. Procassini and
Bruce I. Cohen A comparison of particle-in-cell and
Fokker--Planck methods as applied to the
modeling of auxiliary-heated mirror
plasmas . . . . . . . . . . . . . . . . 39--48
W. Shyy and
M.-H. Chen and
R. Mittal and
H. S. Udaykumar On the suppression of numerical
oscillations using a non-linear filter 49--62
P. A. Ramachandran A numerical solution method for boundary
value problems containing an
undetermined parameter . . . . . . . . . 63--71
Bengt Fornberg and
Rita Meyer-Spasche A finite difference procedure for a
class of free boundary problems . . . . 72--77
I. S. Kang and
L. G. Leal Orthogonal grid generation in a $2$D
domain via the boundary integral
technique . . . . . . . . . . . . . . . 78--87
Glenn Ierley and
Brian Spencer and
Rodney Worthing Spectral methods in time for a class of
parabolic partial differential equations 88--97
C. J. Hwang and
S. J. Wu Global and local remeshing algorithms
for compressible flows . . . . . . . . . 98--113
H. Guillard and
J. M. Malé and
R. Peyret Adaptive spectral methods with
application to mixing layer computations 114--127
Jingyi Zhu and
James Sethian Projection methods coupled to level set
interface techniques . . . . . . . . . . 128--138
H. Q. Yang and
A. J. Przekwas A comparative study of advanced
shock-capturing shcemes applied to
Burgers' equation . . . . . . . . . . . 139--159
S. Y. Cho and
R. A. Yetter and
F. L. Dryer A computer model for one-dimensional
mass and energy transport in and around
chemically reacting particles, including
complex gas-phase chemistry,
multicomponent molecular diffusion,
surface evaporation, and heterogeneous
reaction . . . . . . . . . . . . . . . . 160--179
P. M. Lyster and
J.-N. Leboeuf A fluid-ion and particle-electron model
for low-frequency plasma instabilities 180--193
Martin Blunt and
Barry Rubin Implicit flux limiting schemes for
petroleum reservoir simulation . . . . . 194--210
David L. Williamson and
John B. Drake and
James J. Hack and
Rüdiger Jakob and
Paul N. Swarztrauber A standard test set for numerical
approximations to the shallow water
equations in spherical geometry . . . . 211--224
Anonymous Abstracts of papers to appear in future
issues . . . . . . . . . . . . . . . . . 225--226
Niels F. Otani and
Jin-soo Kim and
Charles K. Birdsall and
Bruce T. Cohen and
William Mccay Nevins and
Neil Maron Elimination of velocity-space
rings-and-spokes instabilities in
magnetized electrostatic particle
simulations of plasmas . . . . . . . . . 227--235
R. A. Renaut Absorbing boundary conditions,
difference operators, and stability . . 236--251
G. Boffetta and
A. R. Osborne Computation of the direct scattering
transform for the nonlinear Schrödinger
equation . . . . . . . . . . . . . . . . 252--264
Arve Kylling and
Knut Stamnes Efficient yet accurate solution of the
linear transport equation in the
presence of internal sources: The
exponential-linear-in-depth
approximation . . . . . . . . . . . . . 265--276
F. Kazeminezhad and
J. M. Dawson and
J. N. Leboeuf and
R. Sydora and
D. Holland A Vlasov particle ion zero mass electron
model for plasma simulations . . . . . . 277--296
Bruno Laboudigue and
Vincent Giovangigli and
Sébastien Candel Numerical solution of a free-boundary
problem in hypersonic flow theory:
Nonequilibrium viscous shock layers . . 297--309
Wilhelm Heinrichs A spectral multigrid method for the
Stokes problem in streamfunction
formulation . . . . . . . . . . . . . . 310--318
C. Weiland A split-matrix Runge--Kutta type space
marching procedure . . . . . . . . . . . 319--335
John K. Dukowicz and
Arkady S. Dvinsky Approximate factorization as a high
order splitting for the implicit
incompressible flow equations . . . . . 336--347
Mikdat Kadio\uglu and
Stephen Mudrick On the implementation of the GMRES($m$ )
method to elliptic equations in
meteorology . . . . . . . . . . . . . . 348--359
I. Toumi A weak formulation of Roe's approximate
Riemann solver . . . . . . . . . . . . . 360--373
Kazuo Takatsuka Extraction of accurate frequencies from
the Fast Fourier Transform spectra . . . 374--380
S. Lennart Johnsson and
Michel Jacquemin and
Robert L. Krawitz Communication efficient multi-processor
FFT . . . . . . . . . . . . . . . . . . 381--397
A. Cloot and
J. A. C. Weideman An adaptive algorithm for spectral
computations on unbounded domains . . . 398--406
Y. Tourigny and
J. M. Sanz-Serna The numerical study of blowup with
application to a nonlinear Schrödinger
equation . . . . . . . . . . . . . . . . 407--416
A. Ghizzo and
P. Bertrand and
J. Lebas and
M. Shoucri and
T. Johnston and
E. Fijalkow and
M. R. Feix Comparison between $1$D and $ 1 1 / 2 $D
Eulerian Vlasov codes for the numerical
simulation of stimulated Raman
scattering . . . . . . . . . . . . . . . 417--422
Anonymous Announcement . . . . . . . . . . . . . . 423--423
E. Blayo and
C. Le Provost Performance of the capacitance matrix
method for solving Helmholtz type
equations in ocean modelling . . . . . . 424--424
Tasso Lappas and
Anthony Leonard and
Paul E. Dimotakis An adaptive Lagrangian method for
computing $1$D reacting and non-reacting
flows . . . . . . . . . . . . . . . . . 424--424
M. P. Leclercq and
B. Stoufflet Characteristic multigrid method
application to solve the Euler equations
with unstructured and unnested grids . . 424--424
De-Kang Mao A treatment of discontinuities for
finite difference methods in the
two-dimensional case . . . . . . . . . . 424--424
Paul Papatzacos Numerical calculation of the equation of
flow in porous media: The lattice-gas
approach . . . . . . . . . . . . . . . . 424--424
J. P. Verboncoeur and
M. V. Alves and
V. Vahedi and
C. K. Birdsall Simultaneous potential and circuit
solution for $1$D bounded plasma
particle simulation codes . . . . . . . 424--424
D. A. Knoll and
A. K. Prinja and
R. B. Campbell A direct Newton solver for the
two-dimensional tokamak edge plasma
fluid equations . . . . . . . . . . . . 424--425
Wei Cai and
Chi-Wang Shu Uniform high order spectral methods for
one- and two-dimensional Euler equations 425--425
S. G. Chung and
K. Kuwahara Explicit streamline method for steady
flows of non-Newtonian matter:
History-dependence and free surfaces . . 425--425
C. A. Stone and
M. Vicanek and
N. M. Ghoniem On the numerical accuracy of the
Fokker--Planck approximation to the
hierarchy of master equations . . . . . 425--425
Anonymous Author index for volume 102 . . . . . . 426--426
D. Burgess and
D. Sulsky and
J. U. Brackbill Mass matrix formulation of the FLIP
particle-in-cell method . . . . . . . . 1--15
Sanjiva K. Lele Compact finite difference schemes with
spectral-like resolution . . . . . . . . 16--42
T. R. Harley and
C. Z. Cheng and
S. C. Jardin The computation of resistive MHD
instabilities in axisymmetric toroidal
plasmas . . . . . . . . . . . . . . . . 43--62
John A. Trangenstein and
Richard B. Pember Numerical algorithms for strong
discontinuities in elastic-plastic
solids . . . . . . . . . . . . . . . . . 63--89
J. W. Dold An efficient surface-integral algorithm
applied to unsteady gravity waves . . . 90--115
Y. Y. Sun and
B. T. Chu and
R. E. Apfel Radiation-induced cavitation process in
a metastable superheated liquid I.
Initial and pre-bubble formation stages 116--125
Y. Y. Sun and
B. T. Chu and
R. E. Apfel Radiation-induced cavitation process in
a metastable superheated liquid II.
Interface formation and post-interface
formation stages . . . . . . . . . . . . 126--140
Robert F. Kunz and
Budugur Lakshminarayana Stability of explicit Navier--Stokes
procedures using $k$--$ \varepsilon $
and $k$--$ \varepsilon $ /algebraic
Reynolds stress turbulence models . . . 141--159
J. de Frutos and
J. M. Sanz-Serna An easily implementable fourth-order
method for the time integration of wave
problems . . . . . . . . . . . . . . . . 160--168
Johann Reiter An algorithm for deconvolution by the
maximum entropy method with astronomical
applications . . . . . . . . . . . . . . 169--183
John P. Boyd Multipole Expansions and Pseudospectral
Cardinal Functions: A New Generalization
of the Fast Fourier Transform . . . . . 184--186
Anonymous Note to appear . . . . . . . . . . . . . 187--187
A. Ern and
M. D. Smooke Vorticity-velocity formulation for
three-dimensional steady compressible
flows . . . . . . . . . . . . . . . . . 187--187
Eduard Harabetian and
Robert Pego Nonconservative hybrid shock capturing
schemes . . . . . . . . . . . . . . . . 187--187
M. A. Kovanen and
W. G. F. Core HECTOR: a code for the study of charged
particles in axisymmetric tokamak
plasmas . . . . . . . . . . . . . . . . 187--187
N. Anders Petersson and
Johan F. Malmliden Computing the flow around a submergedj
body using composite grids . . . . . . . 187--187
Yuhe Song and
Tao Tang Dispersion and group velocity in
numerical schemes for three-dimensional
hydrodynamic equations . . . . . . . . . 187--187
R. Glowinski Ensuring well-posedness by analogy:
Stokes problem and boundary control for
the wave equation . . . . . . . . . . . 189--221
Tao Tang and
S. McKee and
M. W. Reeks A spectral method for the numerical
solutions of a kinetic equation
describing the dispersion of small
particles in a turbulent flow . . . . . 222--230
K. Kontomaris and
T. J. Hanratty and
J. B. McLaughlin An algorithm for tracking fluid
particles in a spectral simulation of
turbulent channel flow . . . . . . . . . 231--242
John P. Boyd A Fast Algorithms for Chebyshev, Fourier
and Sinc Interpolation onto an Irregular
Grid . . . . . . . . . . . . . . . . . . 243--257
John A. Scales and
Martin L. Smith and
Terri L. Fischer Global optimization methods for
multimodal inverse problems . . . . . . 258--268
J. Peraire and
J. Peiró and
K. Morgan Adaptive remeshing for three-dimensional
compressible flow computations . . . . . 269--285
J. E. Morel and
J. E. Dendy, Jr. and
Michael L. Hall and
Stephen W. White A cell-centered Lagrangian-mesh
diffusion differencing scheme . . . . . 286--299
E. L. Vold and
F. Najmabadi and
R. W. Conn Computational implementation of a
coupled plasma-neutral fluid model . . . 300--319
P. Le Quéré and
R. Masson and
P. Perrot A Chebyshev collocation algorithm for
$2$D non-Boussinesq convection . . . . . 320--335
F. Sotiropoulos and
S. Abdallah A primitive variable method for the
solution of three-dimensional
incompressible viscous flows . . . . . . 336--349
Eduard Harabetian A subcell resolution method for viscous
systems of conservation laws . . . . . . 350--358
De-Kang Mao A treatment of discontinuities for
finite difference methods . . . . . . . 359--369
P. Nelson and
D. L. Seth and
A. K. Ray A computational study of the
discretization error in the solution of
the Spencer--Lewis equation by doubling
applied to the upwind finite-difference
approximation . . . . . . . . . . . . . 370--381
Christopher W. Murray and
Stephen C. Racine and
Ernest R. Davidson Improved algorithms for the lowest few
eigenvalues and associated eigenvectors
of large matrices . . . . . . . . . . . 382--389
I-Tai Lu and
H. K. Jung and
C. M. Tsai Hybrid combinations of global and local
operators for solving Helmholtz and
Poisson equations . . . . . . . . . . . 390--401
O. Daube Resolution of the $2$D Navier--Stokes
equations in velocity-vorticity form by
means of an influence matrix technique 402--414
Sadhan K. Adhikari Complex Kohn variational principle for
the solution of Lippmann--Schwinger
equations . . . . . . . . . . . . . . . 415--421
P. A. Zegeling and
J. G. Blom An evaluation of the gradient-weighted
moving-finite-element method in one
space dimension . . . . . . . . . . . . 422--441
R. O. Moody and
M. J. Baines A constrained moving finite element
solution of the one-dimensional oxygen
diffusion with absorption problem . . . 442--449
W. H. Hui and
C. Y. Loh A new Lagrangian method for steady
supersonic flow computation part II.
Slip-line resolution . . . . . . . . . . 450--464
W. H. Hui and
C. Y. Loh A new Lagrangian method for steady
supersonic flow computation part III.
Strong shocks . . . . . . . . . . . . . 465--471
K. A. Lindsay and
C. E. Rooney A note on compound matrices . . . . . . 472--477
Anonymous Abstract of papers to appear in future
issues . . . . . . . . . . . . . . . . . 478--479
Anonymous Author index for volume 103 . . . . . . 480--480
M. Saleem and
T. Pulliam and
A. Y. Cheer Acceleration of Convergence and Spectrum
Transformation of Implicit Finite
Difference Operators Associated with
Navier--Stokes Equations . . . . . . . . 1--13
Dana Hobson An Efficient Method for Computing
Invariant Manifolds of Planar Maps . . . 14--22
M. S. Chu and
J. M. Greene and
M. Klasky and
M. S. Chance Numerical Study of a Singular
Differential Equation Relevant for the
Finite $ \beta $ Tearing Mode in a
Toroidal Plasma . . . . . . . . . . . . 23--29
S. A. Silling Stability and Accuracy of Differencing
Methods for Viscoplastic Models in
Wavecodes . . . . . . . . . . . . . . . 30--40
S. E. Parker and
R. J. Procassini and
C. K. Birdsall and
B. I. Cohen A Suitable Boundary Condition for
Bounded Plasma Simulation without Sheath
Resolution . . . . . . . . . . . . . . . 41--49
R. L. Herman and
C. J. Knickerbocker Numerically Induced Phase Shift in the
KdV Soliton . . . . . . . . . . . . . . 50--55
Darren DeZeeuw and
Kenneth G. Powell An Adaptively Refined Cartesian Mesh
Solver for the Euler Equations . . . . . 56--68
John L. Richardson and
Robert C. Ferrell and
Lyle N. Long Unconditionally Stable Explicit
Algorithms for Nonlinear Fluid Dynamics
Problems . . . . . . . . . . . . . . . . 69--74
G. Yepes and
R. Domínguez-Tenreiro A Computational Study of the Dynamical
Evolution of Self-Gravitating Systems 75--85
Gunter Dueck New Optimization Heuristics: The Great
Deluge Algorithm and the
Record-to-Record Travel . . . . . . . . 86--92
V. Babu and
Seppo A. Korpela On the Direct Solution of Poisson's
Equation on a Non-uniform Grid . . . . . 93--98
Yuenong Xu and
Mitchell D. Smooke Application of a Primitive Variable
Newton's Method for the Calculation of
an Axisymmetric Laminar Diffusion Flame 99--109
L. Cruzeiro Hansson and
J. O. Baum and
J. L. Finney Two Modified Staging Algorithms for Path
Integral Monte Carlo Simulations . . . . 110--117
Stephen A. Jordan and
Malcolm L. Spaulding A Fast Algorithm for Grid Generation . . 118--128
G. Q. Chen and
Z. Gao and
Z. F. Yang A Perturbational $ h^4 $ Exponential
Finite Difference Scheme for the
Convective Diffusion Equation . . . . . 129--139
Andrew S. Clarke and
Bernie Shizgal On the Generation of Orthogonal
Polynomials Using Asymptotic Methods for
Recurrence Coefficients . . . . . . . . 140--149
Ching-Yuen Loh and
Meng-Sing Liou Lagrangian Solution of Supersonic Real
Gas Flows . . . . . . . . . . . . . . . 150--161
Kevin M. Short Direct Calculation of Metric Entropy
from Time Series . . . . . . . . . . . . 162--172
K. Ramakrishna and
I. M. Cohen and
P. S. Ayyaswamy Numerical Methods for Two-Dimensional
Analysis of Electrical Breakdown in a
Non-uniform Gap . . . . . . . . . . . . 173--184
Anmin Qi Numerical Study of Wave Propagation on
Vortex Filaments . . . . . . . . . . . . 185--210
H. Dang-Vu and
C. Delcarte An Accurate Solution of the Poisson
Equation by the Chebyshev Collocation
Method . . . . . . . . . . . . . . . . . 211--220
D. J. Ward and
S. C. Jardin and
C. Z. Cheng Calculations of Axisymmetric Stability
of Tokamak Plasmas with Active and
Passive Feedback . . . . . . . . . . . . 221--240
E. Adams and
W. F. Ames and
W. Kühn and
W. Rufeger and
H. Spreuer Computational Chaos May Be Due to a
Single Local Error . . . . . . . . . . . 241--250
G. P. Koomullil and
Z. U. A. Warsi Numerical Mapping of Arbitrary Domains
Using Spectral Methods . . . . . . . . . 251--262
F. Brugé Systolic Calculation of Pair
Interactions Using the Cell Linked-Lists
Method on Multi-processor Systems . . . 263--266
Mehdi R. Khorrami and
Mujeeb R. Malik Efficient Computation of Spatial
Eigenvalues for Hydrodynamic Stability
Analysis . . . . . . . . . . . . . . . . 267--272
Barry Marder Eliminating Boundary-Induced Errors in
the Pseudo-Current Method . . . . . . . 273--273
J. P. Jakubovics Removal of Apparent Singularity in Grid
Computations . . . . . . . . . . . . . . 274--276
M. P. Robinson and
G. Fairweather and
B. M. Herbst On the Numerical Solution of the Cubic
Schrödinger Equation in One Space
Variable . . . . . . . . . . . . . . . . 277--284
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 285--286
Bernard Legras and
David G. Dritschel A Comparison of the Contour Surgery and
Pseudo-spectral Methods . . . . . . . . 287--302
Hoa D. Nguyen and
Jacob N. Chung A Chebyshev--Legendre Spectral Method
for the Transient Solutions of Flow Past
a Solid Sphere . . . . . . . . . . . . . 303--312
Paul Papatzacos Numerical Calculation of the Equation of
Flow in Porous Media: The Lattice Gas
Approach . . . . . . . . . . . . . . . . 313--320
J. P. Verboncoeur and
M. V. Alves and
V. Vahedi and
C. K. Birdsall Simultaneous Potential and Circuit
Solution for $1$D Bounded Plasma
Particle Simulation Codes . . . . . . . 321--328
M. P. Leclercq and
B. Stoufflet Characteristic Multigrid Method
Application to Solve the Euler Equations
with Unstructured and Unnested Grids . . 329--346
E. Blayo and
C. LeProvost Performance of the Capacitance Matrix
Method for Solving Helmhotz-Type
Equations in Ocean Modelling . . . . . . 347--360
Tasso Lappas and
Anthony Leonard and
Paul E. Dimotakis An Adaptive Lagrangian Method for
Computing $1$D Reacting and Non-reacting
Flows . . . . . . . . . . . . . . . . . 361--376
De-kang Mao A Treatment of Discontinuities for
Finite Difference Methods in the
Two-Dimensional Case . . . . . . . . . . 377--397
F. Kazeminezhad and
J. N. Leboeuf and
F. Brunel and
J. M. Dawson A Discrete Model for MHD Incorporating
the Hall Term . . . . . . . . . . . . . 398--417
D. A. Knoll and
A. K. Prinja and
R. B. Campbell A Direct Newton Solver for the
Two-Dimensional Tokamak Edge Plasma
Fluid Equations . . . . . . . . . . . . 418--426
Wei Cai and
Chi-Wang Shu Uniform High-Order Spectral Methods for
One- and Two-Dimensional Euler Equations 427--443
S. G. Chung and
K. Kuwahara Explicit Streamline Method for Steady
Flows of Non-Newtonian Matter:
History-Dependence and Free Surfaces . . 444--450
C. A. Stone and
M. Vicanek and
N. M. Ghoniem On the Numerical Accuracy of the
Fokker--Planck Approximation to the
Hierarchy of Master Equations . . . . . 451--456
Dan Kosloff and
Hillel Tal-Ezer A Modified Chebyshev Pseudospectral
Method with an $ O(N^{-1}) $ Time Step
Restriction . . . . . . . . . . . . . . 457--469
Bruce J. Palmer Direct Application of Shake to the
Velocity Verlet Algorithm . . . . . . . 470--472
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 473--473
Anonymous Author Index for Volume 104 . . . . . . 474--474
Eduard Harabetian and
Robert Pego Nonconservative Hybrid Shock Capturing
Schemes . . . . . . . . . . . . . . . . 1--13
M. A. Kovanen and
W. G. F. Core HECTOR: a Code for the Study of Charged
Particles in Axisymmetric Tokamak
Plasmas . . . . . . . . . . . . . . . . 14--23
Alan F. Hegarty and
Eugene O'Riordan and
Martin Stynes A Comparison of Uniformly Convergent
Difference Schemes for Two-Dimensional
Convection-Diffusion Problems . . . . . 24--32
Charles S. Peskin and
Beth Feller Printz Improved Volume Conservation in the
Computation of Flows with Immersed
Elastic Boundaries . . . . . . . . . . . 33--46
N. Anders Petersson and
Johan F. Malmliden Computing the Flow around a Submerged
Body Using Composite Grids . . . . . . . 47--57
A. Ern and
M. D. Smooke Vorticity-Velocity Formulation for
Three-Dimensional Steady Compressible
Flows . . . . . . . . . . . . . . . . . 58--71
Yuhe Song and
Tao Tang Dispersion and Group Velocity in
Numerical Schemes for Three-Dimensional
Hydrodynamic Equations . . . . . . . . . 72--82
V. Venkatakrishnan and
Dimitri J. Mavriplis Implicit Solvers for Unstructured Meshes 83--91
V. Schneider and
U. Katscher and
D. H. Rischke and
B. Waldhauser and
J. A. Maruhn and
C.-D. Munz New Algorithms for Ultra-relativistic
Numerical Hydrodynamics . . . . . . . . 92--107
Bo-nan Jiang Non-oscillatory and Non-diffusive
Solution of Convection Problems by the
Iteratively Reweighted Least-Squares
Finite Element Method . . . . . . . . . 108--121
B. M. Herbst and
Mark J. Ablowitz Numerical Chaos, Symplectic Integrators,
and Exponentially Small Splitting
Distances . . . . . . . . . . . . . . . 122--132
Thomas H. Pulliam and
John A. Vastano Transition to Chaos in an Open Unforced
$2$D Flow . . . . . . . . . . . . . . . 133--149
Timothy N. Phillips and
Gareth W. Roberts The Treatment of Spurious Pressure Modes
in Spectral Incompressible Flow
Calculations . . . . . . . . . . . . . . 150--164
Stefaan Poedts and
Elisabeth Schwartz Computation of the Ideal-MHD Continuous
Spectrum in Axisymmetric Plasmas . . . . 165--168
David E. Manolopoulos and
Michael J. Jamieson and
Atul D. Pradhan Johnson's Log Derivative Algorithm
Rederived . . . . . . . . . . . . . . . 169--172
R. Van Dooren and
M. De Groote and
H. Janssen Numerical Evidence of Feigenbaum's
Number $ \delta $ in Non-linear
Oscillations . . . . . . . . . . . . . . 173--177
Brian A. Pettitt and
Werner Danchura and
Donna Labun Spherical Bessel Transforms . . . . . . 178--181
William J. Merryfield and
Bernie Shizgal Properties of Collocation
Third-Derivative Operators . . . . . . . 182--185
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 186--186
V. M. Hazins and
V. V. Svetsov A Conservative Stable
Smoothness-Enhancing Free-Lagrangian
Method . . . . . . . . . . . . . . . . . 187--198
Ravi K. Madabhushi and
S. Balachandar and
S. P. Vanka A Divergence-Free Chebyshev Collocation
Procedure for Incompressible Flows with
Two Non-periodic Directions . . . . . . 199--206
Y.-H. Choi and
C. L. Merkle The Application of Preconditioning in
Viscous Flows . . . . . . . . . . . . . 207--223
Wilhelmus M. Ruyten Density-Conserving Shape Factors for
Particle Simulations in Cylindrical and
Spherical Coordinates . . . . . . . . . 224--232
B. Christer V. Johansson Boundary Conditions for Open Boundaries
for the Incompressible Navier--Stokes
Equation . . . . . . . . . . . . . . . . 233--251
Louis J. Durlofsky A Triangle Based Mixed Finite
Element-Finite Volume Technique for
Modeling Two Phase Flow through Porous
Media . . . . . . . . . . . . . . . . . 252--266
A. Greenbaum and
L. Greengard and
G. B. McFadden Laplace's equation and the
Dirichlet--Neumann map in multiply
connected domains . . . . . . . . . . . 267--278
P. Nogueira Automatic Feynman Graph Generation . . . 279--289
Renzo Arina and
Claudio Canuto A Self-Adaptive Domain Decomposition for
the Viscous/Inviscid Coupling. I.
Burgers Equation . . . . . . . . . . . . 290--300
R. E. M. Moore and
I. O. Angell Voronoi Polygons and Polyhedra . . . . . 301--305
Christopher L. Rumsey and
Bram vanLeer and
Philip L. Roe A Multidimensional Flux Function with
Applications to the Euler and
Navier--Stokes Equations . . . . . . . . 306--323
K. Chen and
M. J. Baines and
P. K. Sweby On an Adaptive Time Stepping Strategy
for Solving Nonlinear Diffusion
Equations . . . . . . . . . . . . . . . 324--332
Roxana C. Wajsowicz A Consistent Formulation of the
Anisotropic Stress Tensor for Use in
Models of the Large-Scale Ocean
Circulation . . . . . . . . . . . . . . 333--338
Maurice H. P. M. vanPutten A Numerical Implementation of MHD in
Divergence Form . . . . . . . . . . . . 339--353
D. Goldstein and
R. Handler and
L. Sirovich Modeling a No-Slip Flow Boundary with an
External Force Field . . . . . . . . . . 354--366
D. C. Rapaport A Note on Algorithms for Billiard-Ball
Dynamics . . . . . . . . . . . . . . . . 367--368
B. D. Lubachevsky Which Algorithm Is Better? . . . . . . . 369--370
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 371--371
Anonymous Author Index for Volume 105 . . . . . . 372--372
F. Hermeline Two Coupled Particle-Finite Volume
Methods Using Delaunay--Vorono\u\i
Meshes for the Approximation of
Vlasov--Poisson and Vlasov--Maxwell
Equations . . . . . . . . . . . . . . . 1--18
J. C. F. Pereira and
J. M. M. Sousa Finite Volume Calculations of
Self-Sustained Oscillations in a Grooved
Channel . . . . . . . . . . . . . . . . 19--29
Susumu Shirayama Processing of Computed Vector Fields for
Visualization . . . . . . . . . . . . . 30--41
Peter E. Raad and
Andreas Karageorghis A Chebyshev Spectral Collocation Method
for the Solution of the Reynolds
Equation of Lubrication . . . . . . . . 42--51
Cherng-Yeu Shen and
Helen L. Reed and
Thomas A. Foley Shepard's Interpolation for
Solution-Adaptive Methods . . . . . . . 52--61
Jay Casper and
H. L. Atkins A Finite-Volume High-Order ENO Scheme
for Two-Dimensional Hyperbolic Systems 62--76
David L. Chopp Computing Minimal Surfaces via Level Set
Curvature Flow . . . . . . . . . . . . . 77--91
C. Liu and
Z. Liu High Order Finite Difference and
Multigrid Methods for Spatially Evolving
Instability in a Planar Channel . . . . 92--100
K. Esselink and
B. Smit and
P. A. J. Hilbers Efficient Parallel Implementation of
Molecular Dynamics on a Toroidal
Network. Part I. Parallelizing Strategy 101--107
K. Esselink and
P. A. J. Hilbers Efficient Parallel Implementation of
Molecular Dynamics on a Toroidal
Network. Part II. Multi-particle
Potentials . . . . . . . . . . . . . . . 108--114
Hoa D. Nguyen and
Seungho Paik and
Jacob N. Chung Application of Vorticity Integral
Conditioning to Chebyshev Pseudospectral
Formulation for the Navier--Stokes
Equations . . . . . . . . . . . . . . . 115--124
S. Rebay Efficient Unstructured Mesh Generation
by Means of Delaunay Triangulation and
Bowyer--Watson Algorithm . . . . . . . . 125--138
A. Priestley A Quasi-Riemannian Method for the
Solution of One-Dimensional Shallow
Water Flow . . . . . . . . . . . . . . . 139--146
G. J. Parker and
W. N. G. Hitchon and
J. E. Lawler Accelerated Solution of the Boltzmann
Equation . . . . . . . . . . . . . . . . 147--154
Sam Qian and
John Weiss Wavelets and the Numerical Solution of
Partial Differential Equations . . . . . 155--175
Paul Arminjon and
Alain Dervieux Construction of TVD-like Artificial
Viscosities on Two-Dimensional Arbitrary
FEM Grids . . . . . . . . . . . . . . . 176--198
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 199--199
David W. Levy and
Kenneth G. Powell and
Bram van Leer Use of a rotated Riemann solver for the
two-dimensional Euler equations . . . . 201--214
J. F. Clarke and
S. Karni and
J. J. Quirk and
P. L. Roe and
L. G. Simmonds and
E. F. Toro Numerical computation of two-dimensional
unsteady detonation waves in high energy
solids . . . . . . . . . . . . . . . . . 215--233
C. R. Schneidesch and
M. O. Deville Chebyshev collocation method and
multi-domain decomposition for
Navier--Stokes equations in complex
curved geometries . . . . . . . . . . . 234--257
A. Jain and
N. Vaidehi and
G. Rodriguez A fast recursive algorithm for molecular
dynamics simulation . . . . . . . . . . 258--268
Bruce Turkington and
Alexander Lifschitz and
Alexander Eydeland and
Joel Spruck Multiconstrained variational problems in
magnetohydrodynamics: Equilibrium and
slow evolution . . . . . . . . . . . . . 269--285
G. Guj and
F. Stella A vorticity-velocity method for the
numerical solution of $3$D
incompressible flows . . . . . . . . . . 286--298
Scott R. Fulton A Semi-implicit spectral method for the
anelastic equations . . . . . . . . . . 299--305
Jian-Shun Shuen and
Kuo-Huey Chen and
Yunho Choi A coupled implicit method for chemical
non-equilibrium flows at all speeds . . 306--318
William G. Szymczak and
Joel C. W. Rogers and
Jay M. Solomon and
Alan E. Bergert A numerical algorithm for hydrodynamic
free boundary problems . . . . . . . . . 319--336
Robert Almgren Variational algorithms and pattern
formation in dendritic solidification 337--354
Prabir Daripa A fast algorithm to solve the Beltrami
equation with applications to
quasiconformal mappings . . . . . . . . 355--365
J. R. Hunter and
P. D. Craig and
H. E. Phillips On the use of random walk models with
spatially variable diffusivity . . . . . 366--376
A. Nicolai A Monte Carlo code describing the
neutral gas transport in pipe
configurations with attenuating media 377--390
Andreas Lang and
Hans Babovsky and
Wolfgang Cassing and
Ulrich Mosel and
Hans-Georg Reusch and
Klaus Weber A new treatment of Boltzmann-like
collision integrals in nuclear kinetic
equations . . . . . . . . . . . . . . . 391--396
William C. Moss and
John W. White New physical criteria for using linear
artificial viscosity . . . . . . . . . . 397--399
Anonymous Abstracts of papers to appear in future
issues . . . . . . . . . . . . . . . . . 400--400
Anonymous Author index for volume 106 . . . . . . 401--401
Alexandre Joel Chorin Hairpin Removal in Vortex Interactions
II . . . . . . . . . . . . . . . . . . . 1--9
David Sidilkover and
George Em Karniadakis Non-oscillatory Spectral Element
Chebyshev Method for Shock Wave
Calculations . . . . . . . . . . . . . . 10--22
Meng-Sing Liou and
Christopher J. Steffen, Jr. A New Flux Splitting Scheme . . . . . . 23--39
L. R. T. Gardner and
G. A. Gardner and
S. I. Zaki Collisional Effects in Plasmas Modelled
by a Simplified Fokker--Planck Equation 40--50
Don K. Purnell and
Michael J. Revell Energy-Bounded Flow Approximation on a
Cartesian-Product Grid over Rough
Terrain . . . . . . . . . . . . . . . . 51--65
K. Ganguly and
E. J. Allen and
E. Coskun and
S. Nielsen On the Discrete-Ordinates Method via
Case's Solution . . . . . . . . . . . . 66--83
D. Cai and
L. R. O. Storey and
T. Neubert Particle Loading for a Plasma Shear
Layer in a Magnetic Field . . . . . . . 84--97
J. R. Cary and
I. Doxas An Explicit Symplectic Integration
Scheme for Plasma Simulations . . . . . 98--104
Mark A. Austin and
P. S. Krishnaprasad and
Li-Sheng Wang Almost Poisson Integration of Rigid Body
Systems . . . . . . . . . . . . . . . . 105--117
Dietrich Braess and
Michael Biebighäuser and
Peter Grassberger and
Ricardo Leuverink Multi-grid Methods for Steady State
Diffusion in Random Media . . . . . . . 118--123
Motohiko Tanaka A Simulation of Low-Frequency
Electromagnetic Phenomena in Kinetic
Plasmas of Three Dimensions . . . . . . 124--145
DongSheng Cai and
Akira Aoyagi and
Kanji Abe Parametric Excitation of Computational
Mode of the Leapfrog Scheme Applied to
the van der Pol Equation . . . . . . . . 146--151
J. J. Monaghan and
R. J. Humble Vortex Particle Methods for Periodic
Channel Flow . . . . . . . . . . . . . . 152--159
Jian-Ping Wang and
Yoshiaki Nakamura and
Michiru Yasuhara Global Coefficient Adjustment Method for
Neumann Condition in Explicit Chebyshev
Collocation Method and Its Application
to Compressible Navier--Stokes Equations 160--175
G. Guevremont and
W. G. Habashi and
P. L. Kotiuga and
M. M. Hafez Finite Element Solution of the $3$D
Compressible Navier--Stokes Equations by
a Velocity-Vorticity Method . . . . . . 176--187
Patrick J. Mann Smoothed Particle Hydrodynamics Applied
to Relativistic Spherical Collapse . . . 188--198
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 199--199
A. Frati and
F. Pasquarelli and
A. Quarteroni Spectral Approximation to
Advection-Diffusion Problems by the
Fictitious Interface Method . . . . . . 201--212
Wilhelm Heinrichs Spectral Multigrid Methods for the
Reformulated Stokes Equations . . . . . 213--224
J. A. Wright and
W. Shyy A Pressure-Based Composite Grid Method
for the Navier--Stokes Equations . . . . 225--238
G. Jin and
M. Braza A Nonreflecting Outlet Boundary
Condition for Incompressible Unsteady
Navier--Stokes Calculations . . . . . . 239--253
Weizhang Huang and
David M. Sloan Pole Condition for Singular Problems:
The Pseudospectral Approximation . . . . 254--261
Christopher K. W. Tam and
Jay C. Webb Dispersion-Relation-Preserving Finite
Difference Schemes for Computational
Acoustics . . . . . . . . . . . . . . . 262--281
Bruce I. Cohen and
Timothy J. Williams Implementation of a Semi-implicit
Orbit-Averaged Gyrokinetic Particle Code 282--290
Rickard Enander Improved Implicit Residual Smoothing for
Steady State Computations of First-Order
Hyperbolic Systems . . . . . . . . . . . 291--296
P. Jorgenson and
E. Turkel Central Difference TVD Schemes for Time
Dependent and Steady State Problems . . 297--308
A. M. Dimits and
W. W. Lee Partially Linearized Algorithms in
Gyrokinetic Particle Simulation . . . . 309--323
San-Yih Lin and
Tsuen-Muh Wu and
Yan-Shin Chin Upwind Finite-Volume Method with a
Triangular Mesh for Conservation Laws 324--337
S. H. Lee and
D. W. Townley and
K. O. Eshun A Boundary Element Model of Cathodic
Well Casing Protection . . . . . . . . . 338--347
Brian L. Haas and
Jeffrey D. McDonald and
Leonardo Dagum Models of Thermal Relaxation Mechanics
for Particle Simulation Methods . . . . 348--358
Vladimir E. Dorofeyev and
Alexey K. Mazur Optimization of Numerical Algorithms for
Internal Coordinate Molecular Dynamics 359--366
John A. Trapp and
Glen A. Mortensen A Discrete Particle Model for
Bubble-Slug Two-Phase Flows . . . . . . 367--377
W. C. Chew and
C. C. Lu A Fast Algorithm to Compute the
Wave-Scattering Solution of a Large
Strip . . . . . . . . . . . . . . . . . 378--387
S. E. Parker and
A. Friedman and
S. L. Ray and
C. K. Birdsall Bounded Multi-scale Plasma Simulation:
Application to Sheath Problems . . . . . 388--402
Dorthe Christiansen and
John W. Perram and
Henrik G. Petersen On the fast multipole method for
computing the energy of periodic
assemblies of charged and dipolar
particles . . . . . . . . . . . . . . . 403--405
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 406--406
Anonymous Author Index for Volume 107 . . . . . . 407--407
S. G. Chung and
K. Kuwahara and
O. Richmond Streamline-Coordinate Finite-Difference
Method for Hot Metal Deformations . . . 1--7
Narinder Nayar and
James M. Ortega Computation of Selected Eigenvalues of
Generalized Eigenvalue Problems . . . . 8--14
Joseph W. Manke A Tensor Product B-Spline Method for
Numerical Grid Generation . . . . . . . 15--26
P. M. Velarde A FCT Method for Staggered Mesh . . . . 27--37
J. U. Brackbill An Adaptive Grid with Directional
Control . . . . . . . . . . . . . . . . 38--50
J. Blair Perot An Analysis of the Fractional Step
Method . . . . . . . . . . . . . . . . . 51--58
John E. Lavery Capturing Contact Discontinuities in
Steady-State Conservation Laws . . . . . 59--72
W. Craig and
C. Sulem Numerical Simulation of Gravity Waves 73--83
Giovanni Russo A Deterministic Vortex Method for the
Navier--Stokes Equations . . . . . . . . 84--94
Jean-Marie Beckers and
Eric Deleersnijder Stability of a FBTCS Scheme Applied to
the Propagation of Shallow-Water
Inertia-Gravity Waves on Various Space
Grids . . . . . . . . . . . . . . . . . 95--104
A. Ghizzo and
P. Bertrand and
M. Shoucri and
E. Fijalkow and
M. R. Feix An Eulerian Code for the Study of the
Drift-Kinetic Vlasov Equation . . . . . 105--121
D. Lee and
Y. M. Tsuei A Hybrid Adaptive Gridding Procedure for
Recirculating Fluid Flow Problems . . . 122--141
S. C. R. Dennis and
M. Ng and
P. Nguyen Numerical Solution for the Steady Motion
of a Viscous Fluid inside a Circular
Boundary Using Integral Conditions . . . 142--152
Patrick Hanley A Strategy for the Efficient Simulation
of Viscous Compressible Flows Using a
Multi-domain Pseudospectral Method . . . 153--158
Yizhang Mo and
Robert J. Perry Basis Function Calculations for the
Massive Schwinger Model in the
Light-Front Tamm--Dancoff Approximation 159--174
T. E. Simos New Variable-Step Procedure for the
Numerical Integration of the
One-Dimensional Schrödinger Equation . . 175--179
D. Nunn A Novel Technique for the Numerical
Simulation of Hot Collision-Free Plasma:
Vlasov Hybrid Simulation . . . . . . . . 180--196
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 197--197
Thomas K. DeLillo and
Alan R. Elcrat Numerical Conformal Mapping Methods for
Exterior Regions with Corners . . . . . 199--208
Emad Fatemi and
Faroukh Odeh Upwind Finite Difference Solution of
Boltzmann Equation Applied to Electron
Transport in Semiconductor Devices . . . 209--217
Dus Odstrcil Improved FCT Algorithm for Shock
Hydrodynamics . . . . . . . . . . . . . 218--225
I. Husain and
O. P. Chandna Numerical Simulation of Viscoelastic
Fluid Flow Past a Cylinder on a
Streamfunction Coordinate System . . . . 226--235
R. Albanese and
G. Rubinacci Analysis of Three-Dimensional
Electromagnetic Fields Using Edge
Elements . . . . . . . . . . . . . . . . 236--245
Sandor Szego and
Pasquale Cinnella and
Al B. Cunningham Numerical Simulation of Biofilm
Processes in Closed Conduits . . . . . . 246--263
Wen-Yih Sun Numerical Experiments for Advection
Equation . . . . . . . . . . . . . . . . 264--271
Mark H. Carpenter and
David Gottlieb and
Saul Abarbanel The Stability of Numerical Boundary
Treatments for Compact High-Order
Finite-Difference Schemes . . . . . . . 272--295
Wei-Ming Cao and
Ben-Yu Guo Fourier Collocation Method for Solving
Nonlinear Klein--Gordon Equation . . . . 296--305
David W. Zingg and
Harvard Lomax Finite-Difference Schemes on Regular
Triangular Grids . . . . . . . . . . . . 306--313
W. Cai and
H. C. Lee and
H.-S. Oh Coupling of Spectral Methods and the
$p$-Version of the Finite Element Method
for Elliptic Boundary Value Problems
Containing Singularities . . . . . . . . 314--326
T. R. Lucas and
H. S. Oh The Method of Auxiliary Mapping for the
Finite Element Solutions of Elliptic
Problems Containing Singularities . . . 327--342
J.-L. Guermond and
S. Huberson and
W.-Z. Shen Simulation of $2$D external viscous
flows by means of a domain decomposition
method . . . . . . . . . . . . . . . . . 343--352
B. Kuchta and
R. D. Etters Features of the Histogram Monte Carlo
Method: Application to N$_2$ Monolayer
Melting on Graphite . . . . . . . . . . 353--356
Sven Ivansson Delta-Matrix Factorization for Fast
Propagation through Solid Layers in a
Fluid-Solid Medium . . . . . . . . . . . 357--367
R. S. Sinkovits and
J. P. Boris and
E. S. Oran A Technique for Regularizing the
Structure of a Monotonic Lagrangian Grid 368--372
A. Ghizzo and
M. Shoucri and
P. Bertrand and
T. Johnston and
J. Lebas Trajectories of Trapped Particles in the
Field of a Plasma Wave Excited by a
Stimulated Raman Scattering . . . . . . 373--376
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 377--377
Anonymous Author Index for Volume 108 . . . . . . 378--378
P. I. Crumpton and
J. A. Mackenzie and
K. W. Morton Cell Vertex Algorithms for the
Compressible Navier--Stokes Equations 1--15
Á. Körösmezey and
C. E. Rasmussen and
T. I. Gombosi and
Bram vanLeer Transport of Gyration-Dominated Space
Plasmas of Thermal Origin 2: Numerical
Solution . . . . . . . . . . . . . . . . 16--29
M. A. Fallavollita and
D. Baganoff and
J. D. McDonald Reduction of Simulation Cost and Error
for Particle Simulations of Rarefied
Flows . . . . . . . . . . . . . . . . . 30--36
Peter J. O'Rourke and
J. U. Brackbill and
Bernard Larrouturou On Particle-Grid Interpolation and
Calculating Chemistry in
Particle-in-Cell Methods . . . . . . . . 37--52
Kevin H. Prendergast and
Kun Xu Numerical Hydrodynamics from Gas-Kinetic
Theory . . . . . . . . . . . . . . . . . 53--66
Larry D. Libersky and
Albert G. Petschek and
Theodore C. Carney and
Jim R. Hipp and
Firooz A. Allahdadi High Strain Lagrangian Hydrodynamics: a
Three-Dimensional SPH Code for Dynamic
Material Response . . . . . . . . . . . 67--75
A. G. Petschek and
L. D. Libersky Cylindrical Smoothed Particle
Hydrodynamics . . . . . . . . . . . . . 76--83
Alex Langnau and
Stanley J. Brodsky Perturbation Theory in Light-Cone
Quantization . . . . . . . . . . . . . . 84--92
A. R. Osborne The Hyperelliptic Inverse Scattering
Transform for the Periodic, Defocusing
Nonlinear Schrödinger Equation . . . . . 93--107
S. R. Hughes and
Uzi Kaldor On the Easy Generation of the Diagrams
Representing the Coupled Cluster Method 108--114
C. Coray and
J. Koebbe Accuracy Optimized Methods for
Constrained Numerical Solutions of
Hyperbolic Conservation Laws . . . . . . 115--132
Hong Ma A Spectral Element Basin Model for the
Shallow Water Equations . . . . . . . . 133--149
Y. Y. Yeung and
C. Rudowicz Crystal Field Energy Levels and State
Vectors for the $ 3 d^N $ Ions at
Orthorhombic or Higher Symmetry Sites 150--152
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 153--153
Aaron L. Fogelson and
Robert H. Dillon Optimal Smoothing in Function-Transport
Particle Methods for Diffusion Problems 155--163
Dan Loewenthal Improvements on the Lehmer--Schur Root
Detection Method . . . . . . . . . . . . 164--168
Man Mohan Rai and
Parviz Moin Direct Numerical Simulation of
Transition and Turbulence in a Spatially
Evolving Boundary Layer . . . . . . . . 169--192
R. R. Khayrutdinov and
V. E. Lukash Studies of Plasma Equilibrium and
Transport in a Tokamak Fusion Device
with the Inverse-Variable Technique . . 193--201
A. T. Degani and
J. D. A. Walker Computation of Attached
Three-Dimensional Turbulent Boundary
Layers . . . . . . . . . . . . . . . . . 202--214
B. S. Sathyaprakash and
S. V. Dhurandhar A Parallel Algorithm for Filtering
Gravitational Waves from Coalescing
Binaries . . . . . . . . . . . . . . . . 215--221
F. Assous and
P. Degond and
E. Heintze and
P. A. Raviart and
J. Segre On a Finite-Element Method for Solving
the Three-Dimensional Maxwell Equations 222--237
O. Réglat and
R. Labrie and
P. A. Tanguy A New Free Surface Model for the Dip
Coating Process . . . . . . . . . . . . 238--246
G. S. Winckelmans and
A. Leonard Contributions to Vortex Particle Methods
for the Computation of Three-Dimensional
Incompressible Unsteady Flows . . . . . 247--273
Peter Hansbo Explicit Streamline Diffusion Finite
Element Methods for the Compressible
Euler Equations in Conservation
Variables . . . . . . . . . . . . . . . 274--288
Hamid Jafroudi and
Hsun-Tiao Yang and
Jerry Hermel Matched Asymptotic Solutions of
Impulsive Flow over an Elliptic Cylinder 289--305
Mauricio Marín and
Dino Risso and
Patricio Cordero Efficient Algorithms for Many-Body Hard
Particle Molecular Dynamics . . . . . . 306--317
Jeffrey J. Biesiadecki and
Robert D. Skeel Dangers of Multiple Time Step Methods 318--328
Robert D. Ferraro and
Paulett C. Liewer and
Viktor K. Decyk Dynamic Load Balancing for a $2$D
Concurrent Plasma PIC Code . . . . . . . 329--341
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 341--341
Anonymous Author Index for Volume 109 . . . . . . 342--342
Craig C. Douglas and
Michael Heroux and
Gordon Slishman and
Roger M. Smith GEMMW: a Portable Level 3 BLAS Winograd
Variant of Strassen's Matrix--Matrix
Multiply Algorithm . . . . . . . . . . . 1--10
Imre Balásházy Simulation of Particle Trajectories in
Bifurcating Tubes . . . . . . . . . . . 11--22
W. Kyle Anderson A Grid Generation and Flow Solution
Method for the Euler Equations on
Unstructured Grids . . . . . . . . . . . 23--38
Weinan E. and
Chi-Wang Shu A Numerical Resolution Study of High
Order Essentially Non-oscillatory
Schemes Applied to Incompressible Flow 39--46
Bo Strand Summation by parts for finite difference
approximations for $ d / d x $ . . . . . 47--67
Kumud Ajmani and
Wing-Fai Ng and
Meng-Sing Liou Preconditioned Conjugate Gradient
Methods for the Navier--Stokes Equations 68--81
W. S. Edwards and
L. S. Tuckerman and
R. A. Friesner and
D. C. Sorensen Krylov Methods for the Incompressible
Navier--Stokes Equations . . . . . . . . 82--102
Wai Sun Don Numerical Study of Pseudospectral
Methods in Shock Wave Applications . . . 103--111
F. Liu and
A. C. McIntosh and
J. Brindley An Implicit Lagrangian Method for
Solving One- and Two-Dimensional
Gasdynamic Equations . . . . . . . . . . 112--133
Yao-Hsin Hwang Arbitrary Domain Velocity Analyses for
the Incompressible Navier--Stokes
Equations . . . . . . . . . . . . . . . 134--149
A. J. Klimas and
W. M. Farrell A Splitting Algorithm for Vlasov
Simulation with Filamentation Filtration 150--163
Shay Gueron Methods for Fast Computation of Integral
Transforms . . . . . . . . . . . . . . . 164--170
Murilo F. Tome and
Sean McKee GENSMAC: a Computational Marker and Cell
Method for Free Surface Flows in General
Domains . . . . . . . . . . . . . . . . 171--186
J. Kollár and
B. Ujfalussy General Formulas for the Slater--Koster
Tables . . . . . . . . . . . . . . . . . 187--189
Amy L. Rovelstad and
Robert A. Handler and
Peter S. Bernard The Effect of Interpolation Errors on
the Lagrangian Analysis of Simulated
Turbulent Channel Flow . . . . . . . . . 190--195
M. vanVeldhuizen and
R. Nieuwenhuizen and
W. Zijl A Note on Log Scale Hankel Transforms 196--199
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 200--200
Stepan G. Mulyarchik and
Stanislav S. Bielawski and
Andrew V. Popov Efficient Computational Schemes of the
Conjugate Gradient Method for Solving
Linear Systems . . . . . . . . . . . . . 201--211
Moshe Rosenfeld and
Yuval Yassour The Alternating Direction Multi-zone
Implicit Method . . . . . . . . . . . . 212--220
Tord Oscarsson Dual Principles in Maximum Entropy
Reconstruction of the Wave Distribution
Function . . . . . . . . . . . . . . . . 221--233
William Y. Crutchfield and
John B. Bell Instabilities of the Skyrme Model . . . 234--241
S. Barcza On a Class of Non-separable
Quantum-Mechanical Eigenvalue Problems:
Analytical and Technical Considerations
within the Frame of a Born Expansion
Method . . . . . . . . . . . . . . . . . 242--256
Òyvind Andreassen and
Ivar Lie and
Carl Erik Wasberg The Spectral Viscosity Method Applied to
Simulation of Waves in a Stratified
Atmosphere . . . . . . . . . . . . . . . 257--273
G. Mansell and
J. Walter and
E. Marschall Liquid-Liquid Driven Cavity Flow . . . . 274--284
K. B. McGrattan and
R. G. Rehm and
H. R. Baum Fire-Driven Flows in Enclosures . . . . 285--291
Tsung L. Li and
Kelin J. Kuhn Effects of Mass Discontinuity on the
Numerical Solutions to Quantum Wells
Using the Effective Mass Equation . . . 292--300
Hideo Araseki and
Shoji Kotake A Self-Correcting Procedure for
Computational Liquid Metal
Magnetohydrodynamics . . . . . . . . . . 301--309
John J. Ambrosiano and
Scott T. Brandon and
Rainald Löhner and
C. Richard DeVore Electromagnetics via the
Taylor--Galerkin Finite Element Method
on Unstructured Grids . . . . . . . . . 310--319
Wan Ahmad Tajuddin Wan Abdullah Seeking Global Minima . . . . . . . . . 320--326
Zhiqiang Tan and
Philip L. Varghese The $ \Delta $--$ \varepsilon $ Method
for the Boltzmann Equation . . . . . . . 327--340
Christian LeProvost and
Christine Bernier and
Eric Blayo A Comparison of Two Numerical Methods
for Integrating a Quasi-geostrophic
Multilayer Model of Ocean Circulations:
Finite Element and Finite Difference
Methods . . . . . . . . . . . . . . . . 341--359
John P. Boyd The Rate of Convergence of Fourier
Coefficients for Entire Functions of
Infinite Order with Application to the
Weideman--Cloot Sinh-Mapping for
Pseudospectral Computations on an
Infinite Interval . . . . . . . . . . . 360--372
S. J. Sherwin and
G. E. Karniadakis and
S. A. Orszag Numerical Simulation of the Ion Etching
Process . . . . . . . . . . . . . . . . 373--398
J. J. Monaghan Simulating Free Surface Flows with SPH 399--406
Mark Taylor A High Performance Spectral Code for
Nonlinear MHD Stability . . . . . . . . 407--418
Anonymous Erratum . . . . . . . . . . . . . . . . 419--419
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 420--420
Leif Abrahamsson and
Heinz-Otto Kreiss Numerical Solution of the Coupled Mode
Equations in Duct Acoustics . . . . . . 1--14
J. H. Dunn and
S. G. Lambrakos Calculating Complex Interactions in
Molecular Dynamics Simulations Employing
Lagrangian Particle Tracking Schemes . . 15--23
Kambiz Salari and
Stanly Steinberg Flux-Corrected Transport in a Moving
Grid . . . . . . . . . . . . . . . . . . 24--32
Herbert Rief A Synopsis of Monte Carlo Perturbation
Algorithms . . . . . . . . . . . . . . . 33--48
P. Marksteiner and
E. Badralexe and
A. J. Freeman Neumann-Type Expansion of Coulomb
Functions . . . . . . . . . . . . . . . 49--52
Supratik Mukhopadhyay and
B. C. Basu Second-Order Accurate No-Slip Conditions
for Solving Problems of Incompressible
Viscous Flows . . . . . . . . . . . . . 53--61
Markku Rajamäki and
Mika Saarinen Accurate One-Dimensional Computation of
Frontal Phenomena by PLIM . . . . . . . 62--73
Xingzhi Ji On a Shooting Algorithm for
Sturm--Liouville Eigenvalue Problems
with Periodic and Semi-periodic Boundary
Conditions . . . . . . . . . . . . . . . 74--80
Nathaniel Whitaker Some Numerical Methods for the
Hele--Shaw Equations . . . . . . . . . . 81--88
Franciszek A. Dul and
Krzysztof Arczewski The Two-Phase Method for Finding a Great
Number of Eigenpairs of the Symmetric or
Weakly Non-symmetric Large Eigenvalue
Problems . . . . . . . . . . . . . . . . 89--109
W. L. Sweatman The Development of a Parallel N-Body
Code for the Edinburgh Concurrent
Supercomputer . . . . . . . . . . . . . 110--119
Alexander Z. Zinchenko An Efficient Algorithm for Calculating
Multiparticle Thermal Interaction in a
Concentrated Dispersion of Spheres . . . 120--135
John K. Salmon and
Michael S. Warren Skeletons from the Treecode Closet . . . 136--155
Hiroaki Arisue and
Toshiaki Fujiwara and
Yumi S. Hirata Algorithm to Calculate the Partition
Function for Z(2) Lattice Gauge Theory
in Four Dimensions . . . . . . . . . . . 156--164
D. Berghezan and
F. Dupret Numerical Simulation of Stratified
Coating Flow by a Variational Method . . 165--182
C. Chen and
J. M. Floryan Numerical Simulation of Nonisothermal
Capillary Interfaces . . . . . . . . . . 183--193
Radford M. Neal An Improved Acceptance Procedure for the
Hybrid Monte Carlo Algorithm . . . . . . 194--203
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 204--204
Guy Dumas and
Anthony Leonard A Divergence-Free Spectral Expansions
Method for Three-Dimensional Flows in
Spherical-Gap Geometries . . . . . . . . 205--219
Mark H. Carpenter and
David Gottlieb and
Saul Abarbanel Time-Stable Boundary Conditions for
Finite-Difference Schemes Solving
Hyperbolic Systems: Methodology and
Application to High-Order Compact
Schemes . . . . . . . . . . . . . . . . 220--236
Gregory DiPeso and
Dennis W. Hewett and
Gregory F. Simonson Extension of the Streamlined Darwin
Model to Quasineutral Plasmas . . . . . 237--247
E. Bruno and
G. M. Florio and
B. Ginatempo and
E. S. Giuliano Fast Numerical Solution of KKR--CPA
Equations: Testing New Algorithms . . . 248--255
Aleksander Jablonski Numerical Evaluation of Spherical Bessel
Functions of the First Kind . . . . . . 256--259
Jean-Marie Beckers On Destabilizing Implicit Factors in
Discrete Advection-Diffusion Equations 260--265
Laurent deWindt and
Patrick Fischer and
Mireille Defranceschi and
Joseph Delhalle and
Joseph G. Fripiat A Combined Analytical and Numerical
Strategy to Solve the Atomic
Hartree--Fock Equations in Momentum
Space . . . . . . . . . . . . . . . . . 266--274
Jeffrey S. Ely and
Gregory R. Baker High-Precision Calculations of Vortex
Sheet Motion . . . . . . . . . . . . . . 275--281
C. L. Scandrett and
G. A. Kriegsmann Decoupling Approximations Applied to an
Infinite Array of Fluid Loaded Baffled
Membranes . . . . . . . . . . . . . . . 282--290
Giovanni Russo and
John A. Strain Fast triangulated vortex methods for the
$2$D Euler equations . . . . . . . . . . 291--323
D. W. Black and
A. P. Rothmayer On Accelerating the Convergence of
Nonlinear Iterative Algorithms . . . . . 324--335
Fernando Viera Boundary Surface Dynamics: An Algorithm
for Stratified Geostrophic Flows . . . . 336--346
Natalia Sternberg and
Valery A. Godyak Solving the Mathematical Model of the
Electrode Sheath in Symmetrically Driven
RF Discharges . . . . . . . . . . . . . 347--353
Wenlong Dai and
Paul R. Woodward An Approximate Riemann Solver for Ideal
Magnetohydrodynamics . . . . . . . . . . 354--372
Yingjie Liu and
Lixin Liu and
Tao Tang The Numerical Computation of Connecting
Orbits in Dynamical Systems: a Rational
Spectral Approach . . . . . . . . . . . 373--380
T. Tanaka Finite Volume TVD Scheme on an
Unstructured Grid System for
Three-Dimensional MHD Simulation of
Inhomogeneous Systems Including Strong
Background Potential Fields . . . . . . 381--389
Gregory A. Kriegsmann and
Jonathan H. C. Luke Rapid Pulse Responses for Scattering
Problems . . . . . . . . . . . . . . . . 390--398
Weizhang Huang and
David M. Sloan The Pseudospectral Method for Solving
Differential Eigenvalue Problems . . . . 399--409
Anonymous Note: ``Diagonal Shadow'' --- a
Quasi-Newton Iteration in Spectral
Domain . . . . . . . . . . . . . . . . . 410--413
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 414--415
Anonymous Author Index for Volume 111 . . . . . . 416--416
A. Pinelli and
C. Benocci and
M. Deville Chebyshev Pseudospectral Solution of
Advection-Diffusion Equations with
Mapped Finite Difference Preconditioning 1--11
Peter J. Shopov and
Yuriy I. Iordanov Numerical Solution of Stokes Equations
with Pressure and Filtration Boundary
Conditions . . . . . . . . . . . . . . . 12--23
Han-Ming Wu and
G. F. Carey and
M. E. Oakes Numerical Simulation of AC Plasma Arc
Thermodynamics . . . . . . . . . . . . . 24--30
Smadar Karni Multicomponent Flow Calculations by a
Consistent Primitive Algorithm . . . . . 31--43
M. Alcubierre and
Bernard F. Schutz Time-Symmetric ADI and Causal
Reconnection: Stable Numerical
Techniques for Hyperbolic Systems on
Moving Grids . . . . . . . . . . . . . . 44--77
V. Mazhukin and
I. Smurov and
G. Flamant Simulation of Laser Plasma Dynamics:
Influence of Ambient Pressure and
Intensity of Laser Radiation . . . . . . 78--90
D. Loffhagen and
R. Winkler A New Nonstationary Boltzmann Solver in
Self-Consistent Modelling of Discharge
Pumped Plasmas for Excimer Lasers . . . 91--101
Alan P. Matthews Current Advance Method and Cyclic
Leapfrog for $2$D Multispecies Hybrid
Plasma Simulations . . . . . . . . . . . 102--116
Benedict J. Leimkuhler and
Robert D. Skeel Symplectic Numerical Integrators in
Constrained Hamiltonian Systems . . . . 117--125
Richard Saurel and
Michel Larini and
Jean Claude Loraud Exact and Approximate Riemann Solvers
for Real Gases . . . . . . . . . . . . . 126--137
H. J. Oh and
I. S. Kang A Non-iterative Scheme for Orthogonal
Grid Generation with Control Function
and Specified Boundary Correspondence on
Three Sides . . . . . . . . . . . . . . 138--148
R. K. Mains and
G. I. Haddad An Accurate Re-formulation of the Wigner
Function Method for Quantum Transport
Modeling . . . . . . . . . . . . . . . . 149--161
B. T. Nadiga and
D. I. Pullin A Method for Near-Equilibrium
Discrete-Velocity Gas Flows . . . . . . 162--172
Calvin J. Ribbens and
Layne T. Watson and
C.-Y. Wang Steady Viscous Flow in a Triangular
Cavity . . . . . . . . . . . . . . . . . 173--181
Yves P. Marx Time Integration Schemes for the
Unsteady Incompressible Navier--Stokes
Equations . . . . . . . . . . . . . . . 182--209
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 210--210
P. Dutt and
A. K. Singh The Galerkin-Collocation Method for
Hyperbolic Initial Boundary Value
Problems . . . . . . . . . . . . . . . . 211--225
W. N. G. Hitchon and
E. R. Keiter Kinetic Simulation of a Time-Dependent
Two-Dimensional Plasma . . . . . . . . . 226--233
John D. Pryce Efficient, Reliable Computation of
Resonances of the One-Dimensional
Schrödinger Equation . . . . . . . . . . 234--246
A. M. Mazzone Molecular Dynamics Simulations of the
Effects of Damage Relaxation Following
High-Energy Implants . . . . . . . . . . 247--252
M. Olim A Truly Noninterpolating Semi-Lagrangian
Lax--Wendroff Method . . . . . . . . . . 253--266
S. Kreitmeier and
M. Wittkop and
D. Göritz Computer Simulation of Coil Deformation 267--272
Michael V. Klibanov and
Paul E. Sacks Use of Partial Knowledge of the
Potential in the Phase Problem of
Inverse Scattering . . . . . . . . . . . 273--281
G. W. Fernando and
M. Weinert and
R. E. Watson and
J. W. Davenport Point Group Symmetries and Gaussian
Integration . . . . . . . . . . . . . . 282--290
E. M. Epperlein Implicit and Conservative Difference
Scheme for the Fokker--Planck Equation 291--297
Mohamed Zerroukat and
Chris R. Chatwin A Finite-Difference Algorithm for
Multiple Moving Boundary Problems Using
Real and Virtual Grid Networks . . . . . 298--307
Bao Xia Jin On an Essentially Conservative Scheme
for Hyperbolic Conservation Laws . . . . 308--315
A. Priestley Exact Projections and the
Lagrange--Galerkin Method: a Realistic
Alternative to Quadrature . . . . . . . 316--333
Barry Merriman and
James K. Bence and
Stanley J. Osher Motion of Multiple Junctions: a Level
Set Approach . . . . . . . . . . . . . . 334--363
David M. Stratton and
Jason Gans and
Eric Williams Coagulation Algorithms with Size Binning 364--369
Beno\^\it Perthame and
Youchun Qiu A Variant of Van Leer's Method for
Multidimensional Systems of Conservation
Laws . . . . . . . . . . . . . . . . . . 370--381
Jian Hua Yao and
R. J. Gooding A High-Accuracy Algorithm for Solving
Nonlinear PDEs with High-Order Spatial
Derivatives in $ 1 + 1 $ Dimensions . . 382--393
Mikhail A. Tolstykh Application of Fifth-Order Compact
Upwind Differencing to Moisture
Transport Equation in Atmosphere . . . . 394--403
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 404--404
Anonymous Author Index for Volume 112 . . . . . . 405--405
Haecheon Choi and
Parviz Moin Effects of the Computational Time Step
on Numerical Solutions of Turbulent Flow 1--4
L. R. T. Gardner and
G. A. Gardner and
T. Geyikli The Boundary Forced MKdV Equation . . . 5--12
William D. Henshaw A Fourth-Order Accurate Method for the
Incompressible Navier--Stokes Equations
on Overlapping Grids . . . . . . . . . . 13--25
Lin-Bo Zhang A Multigrid Solver for the Steady
Incompressible Navier--Stokes Equations
on Curvilinear Coordinate Systems . . . 26--34
P. Jones and
J. Ma and
V. Rokhlin A Fast Direct Algorithm for the Solution
of the Laplace Equation on Regions with
Fractal Boundaries . . . . . . . . . . . 35--51
P. Koumoutsakos and
A. Leonard and
F. Pépin Boundary Conditions for Viscous Vortex
Methods . . . . . . . . . . . . . . . . 52--61
S. Balachandar and
D. A. Yuen Three-Dimensional Fully Spectral
Numerical Method for Mantle Convection
with Depth-Dependent Properties . . . . 62--74
W. P. Petersen Some Experiments on Numerical
Simulations of Stochastic Differential
Equations and a New Algorithm . . . . . 75--81
Frank W. Elliott, Jr. and
Andrew J. Majda A Wavelet Monte Carlo Method for
Turbulent Diffusion with Many Spatial
Scales . . . . . . . . . . . . . . . . . 82--111
Jamshid Samareh-Abolhassani and
John E. Stewart Surface Grid Generation in a Parameter
Space . . . . . . . . . . . . . . . . . 112--121
Christopher K. W. Tam and
Jay C. Webb Radiation Boundary Condition and
Anisotropy Correction for Finite
Difference Solutions of the Helmholtz
Equation . . . . . . . . . . . . . . . . 122--133
Bruno Lafaurie and
Carlo Nardone and
Ruben Scardovelli and
Stéphane Zaleski and
Gianluigi Zanetti Modelling Merging and Fragmentation in
Multiphase Flows with SURFER . . . . . . 134--147
Joseph B. Keller Removing Small Features from
Computational Domains . . . . . . . . . 148--150
S. Balachandar and
Ravi K. Madabhushi Spurious Modes in Spectral Collocation
Methods with Two Non-periodic Directions 151--153
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 154--154
G. Danabasoglu and
S. Biringen and
C. L. Streett Application of the Spectral Multidomain
Method to the Navier--Stokes Equations 155--164
Kwing L. Chan and
H. G. Mayr and
J. G. Mengel and
I. Harris A ``Stratified'' Spectral Model for
Stable and Convective Atmospheres . . . 165--176
Ann S. Almgren and
Thomas Buttke and
Phillip Colella A Fast Adaptive Vortex Method in Three
Dimensions . . . . . . . . . . . . . . . 177--200
Phil Pendergast and
Zareh Darakjian and
Edward F. Hayes and
Danny C. Sorensen Scalable Algorithms for
Three-Dimensional Reactive Scattering:
Evaluation of a New Algorithm for
Obtaining Surface Functions . . . . . . 201--214
Shengkai Zhao and
Matthew J. Yedlin A New Iterative Chebyshev Spectral
Method for Solving the Elliptic Equation
$ \nabla \cdot (\sigma \nabla u) \approx
f $ . . . . . . . . . . . . . . . . . . 215--223
Ching-Yuen Loh and
Meng-Sing Liou A New Lagrangian Method for
Three-Dimensional Steady Supersonic
Flows . . . . . . . . . . . . . . . . . 224--248
Vijayan P. and
Y. Kallinderis A $3$D Finite-Volume Scheme for the
Euler Equations on Adaptive Tetrahedral
Grids . . . . . . . . . . . . . . . . . 249--267
M. Yousfi and
A. Poinsignon and
A. Hamani Finite Element Method for Conservation
Equations in Electrical Gas Discharge
Areas . . . . . . . . . . . . . . . . . 268--278
Weizhang Huang and
Yuhe Ren and
Robert D. Russell Moving Mesh Methods Based on Moving Mesh
Partial Differential Equations . . . . . 279--290
Pablo V. Negrón-Marrero and
Octavio Betancourt The Numerical Computation of Singular
Minimizers in Two-Dimensional Elasticity 291--303
R. B. Lowrie and
P. L. Roe On the Numerical Solution of
Conservation Laws by Minimizing
Residuals . . . . . . . . . . . . . . . 304--308
Qianshun Chang and
Hong Jiang A Conservative Difference Scheme for the
Zakharov Equations . . . . . . . . . . . 309--319
Kim Bolton and
Sture Nordholm An Evaluation of the Gauss--Radau
Algorithm for the Simulation of Chemical
Dynamics . . . . . . . . . . . . . . . . 320--335
Vamshi Mohan Korivi and
Arthur C. Taylor III and
Perry A. Newman and
Gene W. Hou and
Henry E. Jones An Approximately Factored Incremental
Strategy for Calculating Consistent
Discrete Aerodynamic Sensitivity
Derivatives . . . . . . . . . . . . . . 336--346
Anonymous Note: An Evaluation of Explicit
Pseudo-Steady-State Approximation
Schemes for Stiff ODE Systems from
Chemical Kinetics . . . . . . . . . . . 347--352
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 353--353
Anonymous Author Index for Volume 113 . . . . . . 354--354
D. Eyre Cubic Spline-Projection Method for
Two-Dimensional Integral Equations of
Scattering Theory . . . . . . . . . . . 1--8
Kun Xu and
Kevin H. Prendergast Numerical Navier--Stokes Solutions from
Gas Kinetic Theory . . . . . . . . . . . 9--17
Yan Zang and
Robert L. Street and
Jeffrey R. Koseff A Non-staggered Grid, Fractional Step
Method for Time-Dependent Incompressible
Navier--Stokes Equations in Curvilinear
Coordinates . . . . . . . . . . . . . . 18--33
Per Lötstedt Improved Convergence to the Steady State
of the Euler Equations by Enhanced Wave
Propagation . . . . . . . . . . . . . . 34--44
R. Abgrall On Essentially Non-oscillatory Schemes
on Unstructured Meshes: Analysis and
Implementation . . . . . . . . . . . . . 45--58
Alain Rigal High Order Difference Schemes for
Unsteady One-Dimensional
Diffusion-Convection Problems . . . . . 59--76
J. W. Brackbill and
Giovanni Lapenta A Method to Suppress the Finite-Grid
Instability in Plasma Simulations . . . 77--84
Mikko J. Alava and
Jukka A. Heikkinen and
Torbjörn Hellsten On the Origin of Parasitic Modes in
Numerical Modelling of Wave Propagation
in Plasmas . . . . . . . . . . . . . . . 85--99
K. L. Sidikman and
B. A. Carreras and
L. Garcia Drift Wave Turbulence in a Plasma with
Sheared Flow . . . . . . . . . . . . . . 100--112
Andrew R. Roosen and
Jean E. Taylor Modeling Crystal Growth in a Diffusion
Field Using Fully Faceted Interfaces . . 113--128
Fred H. Walsteijn Robust Numerical Methods for $2$D
Turbulence . . . . . . . . . . . . . . . 129--145
Mark Sussman and
Peter Smereka and
Stanley Osher A Level Set Approach for Computing
Solutions to Incompressible Two-Phase
Flow . . . . . . . . . . . . . . . . . . 146--159
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 160--160
T. Westermann Particle-in-cell simulations with moving
boundaries-adaptive mesh generation . . 161--175
S. W. Armfield Ellipticity, accuracy, and convergence
of the discrete Navier--Stokes equations 176--184
Jean-Pierre Berenger A perfectly matched layer for the
absorption of electromagnetic waves . . 185--200
Houde Han and
Jinfu Lu and
Weizhu Bao A discrete artificial boundary condition
for steady incompressible viscous flows
in a no-slip channel using a fast
iterative method . . . . . . . . . . . . 201--208
K. W. Morton and
M. A. Rudgyard and
G. J. Shaw Upwind iteration methods for the cell
vertex scheme in one dimension . . . . . 209--226
Irfan Altas and
Kevin Burrage A high accuracy defect-correction
multigrid method for the steady
incompressible Navier--Stokes equations 227--233
F. Lyard and
M. L. Genco Optimisation methods for bathymetry and
open boundary conditions in a finite
element model of ocean tides . . . . . . 234--256
Beresford N. Parlett and
Wee-Liang Heng The method of minimal representations in
$2$D Ising model calculations . . . . . 257--264
Zigo Haras and
Shlomo Ta'asan Finite difference schemes for long-time
integration . . . . . . . . . . . . . . 265--279
A. C. Or A shooting scheme for boundary-value
problems . . . . . . . . . . . . . . . . 280--283
Dinshaw S. Balsara Riemann Solver for Relativistic
Hydrodynamics . . . . . . . . . . . . . 284--297
Alexander Z. Zinchenko Algorithm for Random Close Packing of
Spheres with Periodic Boundary
Conditions . . . . . . . . . . . . . . . 298--307
Satadal Bhattacharyya and
Tapan Kumar Das An Efficient Numerical Algorithm for
Calculation of Matrix Elements of
Trinucleon System with Realistic
Potentials . . . . . . . . . . . . . . . 308--311
Thomas Y. Hou and
John S. Lowengrub and
Michael J. Shelley Removing the stiffness from interfacial
flows with surface tension . . . . . . . 312--338
Ambady Suresh An assessment of spectral nonoscillatory
schemes . . . . . . . . . . . . . . . . 339--349
Anonymous Abstracts of papers to appear in future
issues . . . . . . . . . . . . . . . . . 350--350
Anonymous Author index for volume 114 . . . . . . 351--351
Kurt S. Riedel Optimal Estimation of Dynamically
Evolving Diffusivities . . . . . . . . . 1--11
Stanislav Labík and
Roman Pospísil and
Anatol Malijevský and
William Robert Smith An Efficient Gauss--Newton-like Method
for the Numerical Solution of the
Ornstein--Zernike Integral Equation for
a Class of Fluid Models . . . . . . . . 12--21
Sebastian Noelle Hyperbolic Systems of Conservation Laws,
the Weyl Equation, and Multidimensional
Upwinding . . . . . . . . . . . . . . . 22--26
Pär Holmgren An Advection Algorithm and an
Atmospheric Airflow Application . . . . 27--42
Fernando F. Grinstein Open Boundary Conditions in the
Simulation of Subsonic Turbulent Shear
Flows . . . . . . . . . . . . . . . . . 43--55
John J. H. Miller and
Song Wang An Exponentially Fitted Finite Volume
Method for the Numerical Solution of
$2$D Unsteady Incompressible Flow
Problems . . . . . . . . . . . . . . . . 56--64
John Giannakouros and
George Em Karniadakis A Spectral Element-FCT Method for the
Compressible Euler Equations . . . . . . 65--85
Vladimir G. Leyman and
Svetlana P. Litvintseva and
Igor D. Rodionov Investigation of Charged Particle Beam
Stability: Numerical Method and Physical
Results . . . . . . . . . . . . . . . . 86--106
M. G. Ancona Fully-Lagrangian and Lattice-Boltzmann
Methods for Solving Systems of
Conservation Equations . . . . . . . . . 107--120
Paul F. Batcho and
George Em Karniadakis Generalized Stokes Eigenfunctions: a New
Trial Basis for the Solution of
Incompressible Navier--Stokes Equations 121--146
Eric Yu Tau A Second-Order Projection Method for the
Incompressible Navier--Stokes Equations
in Arbitrary Domains . . . . . . . . . . 147--152
Jeff Saltzman An Unsplit $3$D Upwind Method for
Hyperbolic Conservation Laws . . . . . . 153--168
R. Hagmeijer Grid Adaption Based on Modified
Anisotropic Diffusion Equations
Formulated in the Parametric Domain . . 169--183
David A. Kopriva Multidomain Spectral Solution of
Compressible Viscous Flows . . . . . . . 184--199
Xu-Dong Liu and
Stanley Osher and
Tony Chan Weighted Essentially Non-oscillatory
Schemes . . . . . . . . . . . . . . . . 200--212
Giovanni Lapenta and
Jeremiah U. Brackbill Dynamic and Selective Control of the
Number of Particles in Kinetic Plasma
Simulations . . . . . . . . . . . . . . 213--227
Yuhe Song and
Dale Haidvogel A Semi-implicit Ocean Circulation Model
Using a Generalized Topography-Following
Coordinate System . . . . . . . . . . . 228--244
J. C. Greer An Approximate Time Evolution Operator
to Generate the Verlet Algorithm . . . . 245--247
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 248--248
Dalia Fishelov Simulation of Three-Dimensional
Turbulent Flow in Non-Cartesian Geometry 249--266
Alex C.-Y. Pang and
Chueng-Ryong Ji A Spinor Technique in Symbolic Feynman
Diagram Calculation . . . . . . . . . . 267--275
R. T. Farouki and
S. Hamaguchi Spline Approximation of ``Effective''
Potentials under Periodic Boundary
Conditions . . . . . . . . . . . . . . . 276--287
Tsung L. Li and
Kelin J. Kuhn Finite Element Solutions to GaAs--AlAs
Quantum Wells with Connection Matrices
at Heterojunctions . . . . . . . . . . . 288--295
F. J. Gomez and
J. Sesma Global Solutions of the Schrödinger
Equation with Coulomb plus Linear
Potential . . . . . . . . . . . . . . . 296--301
R. D. VanBuskirk and
P. S. Marcus Spectrally Accurate Contour Dynamics . . 302--318
Ami Harten Adaptive Multiresolution Schemes for
Shock Computations . . . . . . . . . . . 319--338
Chris Jessop and
Martin Duncan and
W. Y. Chau Multigrid Methods for $N$-Body
Gravitational Systems . . . . . . . . . 339--351
J. A. Byers and
A. M. Dimits and
Y. Matsuda and
A. B. Langdon Numerical Instability in a $2$D
Gyrokinetic Code Caused by Divergent $ E
\times B $ Flow . . . . . . . . . . . . 352--365
D. Halpern and
D. P. Gaver III Boundary Element Analysis of the
Time-Dependent Motion of a Semi-infinite
Bubble in a Channel . . . . . . . . . . 366--375
Mark Wilcoxson and
Vasilios Manousiouthakis On an Implicit ENO Scheme . . . . . . . 376--389
E. Bahar and
M. El-Shenawee Full Wave Single and Double Scatter from
Rough Surfaces . . . . . . . . . . . . . 390--398
G. Rajagopal and
R. J. Needs An Optimized Ewald Method for
Long-Ranged Potentials . . . . . . . . . 399--405
Aristides Th. Marinos Numerical Experiments on Compact
Computational Schemes for Solving the
First Biharmonic Problem in Rectangles 406--422
Seungho Paik and
Hoa D. Nguyen and
Jacob N. Chung Transient Conjugated Heat Transfer
Analysis from a Sphere with Nonlinear
Boundary Conditions . . . . . . . . . . 423--430
J. Falcovitz and
A. Birman A Singularities Tracking Conservation
Laws Scheme for Compressible Duct Flows 431--439
J. A. Sethian Curvature Flow and Entropy Conditions
Applied to Grid Generation . . . . . . . 440--454
A. Fortin and
M. Jardak and
J. J. Gervais and
R. Pierre Old and New Results on the
Two-Dimensional Poiseuille Flow . . . . 455--469
H. W. Crater A Padé Extrapolated Inverse Power Method
for Coupled Schrödinger-like Equations
Applied to the Two-Body Relativistic
Bound State Problem in Quantum
Electrodynamics . . . . . . . . . . . . 470--484
Wenlong Dai and
Paul R. Woodward Extension of the Piecewise Parabolic
Method to Multidimensional Ideal
Magnetohydrodynamics . . . . . . . . . . 485--514
Pu Sun and
David P. Chock and
Sandra L. Winkler An Implicit-Explicit Hybrid Solver for a
System of Stiff Kinetic Equations . . . 515--523
Melitta Fiebig-Wittmaack and
Wolfgang Börsch-Supan Positivity Preserving in Difference
Schemes for the $2$D Diffusive Transport
of Atmospheric Gases . . . . . . . . . . 524--529
A. Pletzer and
A. Bondeson and
R. L. Dewar Linear Stability of Resistive MHD Modes:
Axisymmetric Toroidal Computation of the
Outer Region Matching Data . . . . . . . 530--549
L. Stiller and
L. L. Daemen and
J. E. Gubernatis $N$-Body Simulations on Massively
Parallel Architectures . . . . . . . . . 550--552
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 553--553
Anonymous Author Index for Volume 115 . . . . . . 554--554
Jerry Blackbill Editorial . . . . . . . . . . . . . . . 1--2
T. W. Patzek and
O. A. Basaran and
R. E. Benner and
L. E. Scriven Nonlinear Oscillations of
Two-Dimensional, Rotating Inviscid Drops 3--25
E. V. Vorozhtsov and
B. Yu. Scobelev and
V. G. Ganzha Symbolic-Numerical Method for the
Stability Analysis of Difference Schemes
on the Basis of the Catastrophe Theory 26--38
C. I. Christov and
G. A. Maugin An Implicit Difference Scheme for the
Long-Time Evolution of Localized
Solutions of a Generalized Boussinesq
System . . . . . . . . . . . . . . . . . 39--51
T. G. Thomas and
D. C. Leslie and
J. J. R. Williams Free Surface Simulations Using a
Conservative $3$D Code . . . . . . . . . 52--68
Cristina I. Draghicescu and
Mircea Draghicescu A Fast Algorithm for Vortex Blob
Interactions . . . . . . . . . . . . . . 69--78
J. Rokicki and
J. M. Floryan Domain Decomposition and the Compact
Fourth-Order Algorithm for the
Navier--Stokes Equations . . . . . . . . 79--96
Dong-Jian Guo and
Qing-Cun Zeng Open Boundary Conditions for a Numerical
Shelf Sea Model . . . . . . . . . . . . 97--102
R. Radespiel and
R. C. Swanson Progress with Multigrid Schemes for
Hypersonic Flow Problems . . . . . . . . 103--122
J. W. Swegle and
D. L. Hicks and
S. W. Attaway Smoothed Particle Hydrodynamics
Stability Analysis . . . . . . . . . . . 123--134
W. Couzy and
M. O. Deville A Fast Schur Complement Method for the
Spectral Element Discretization of the
Incompressible Navier--Stokes Equations 135--142
Danesh Tafti Alternate Formulations for the Pressure
Equation Laplacian on a Collocated Grid
for Solving the Unsteady Incompressible
Navier--Stokes Equations . . . . . . . . 143--153
Gary G. Hoffman Atom-Centered Functions in the Optimized
Thomas--Fermi Theory . . . . . . . . . . 154--159
Alvin Bayliss and
Andreas Class and
Bernard J. Matkowsky Adaptive Approximation of Solutions to
Problems with Multiple Layers by
Chebyshev Pseudo-Spectral Methods . . . 160--172
C. H. Tai and
S. L. Yin and
C. Y. Soong A Novel Hyperbolic Grid Generation
Procedure with Inherent Adaptive
Dissipation . . . . . . . . . . . . . . 173--179
Gerardo A. Ache and
Debora Cores Note on the Two-Point Boundary Value
Numerical Solution of the
Orr--Sommerfeld Stability Equation . . . 180--183
Jie Shen On Fast Direct Poisson Solver, INF--SUP
Constant and Iterative Stokes Solver by
Legendre--Galerkin Method . . . . . . . 184--188
P. Glaister A Weak Formulation of Roe's Approximate
Riemann Solver Applied to the St. Venant
Equations . . . . . . . . . . . . . . . 189--191
Anonymous Erratum: ``Summation by parts for finite
difference approximations for $ d / d x
$'' . . . . . . . . . . . . . . . . . . 192--192
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 193--193
J. P. Collins and
P. Colella and
H. M. Glaz An Implicit-Explicit Eulerian Godunov
Scheme for Compressible Flow . . . . . . 195--211
S. V. Tsynkov An Application of Nonlocal External
Conditions to Viscous Flow Computations 212--225
Omar M. Knio and
Luc Collorec and
Daniel Juvé Numerical Study of Sound Emission by
$2$D Regular and Chaotic Vortex
Configurations . . . . . . . . . . . . . 226--246
M. Baum and
T. Poinsot and
D. Thévenin Accurate Boundary Conditions for
Multicomponent Reactive Flows . . . . . 247--261
Shea Chen and
David B. Johnson and
Peter E. Raad Velocity Boundary Conditions for the
Simulation of Free Surface Fluid Flow 262--276
B. L. G. Bakker and
M. I. Polikarpov and
L. V. Shevchenko Scattering in the Framework of the
Green's Function Monte--Carlo Method . . 277--280
D. A. Knoll and
P. R. McHugh An Inexact Newton Algorithm for Solving
the Tokamak Edge Plasma Fluid Equations
on a Multiply-Connected Domain . . . . . 281--291
H. Han and
D. B. Ingham and
Y. Yuan The Boundary Element Method for the
Solution of the Backward Heat Conduction
Equation . . . . . . . . . . . . . . . . 292--299
Roger A. Vesey and
Don Steiner A Two-Dimensional Finite Element Model
of the Edge Plasma . . . . . . . . . . . 300--313
J. K. Koga and
T. Tajima The $ \delta f $ Algorithm for Beam
Dynamics . . . . . . . . . . . . . . . . 314--329
M. T. Sun and
S. T. Wu and
Murray Dryer On the Time-Dependent Numerical Boundary
Conditions of Magnetohydrodynamic Flows 330--342
P. I. Crumpton and
G. J. Shaw and
A. F. Ware Discretisation and Multigrid Solution of
Elliptic Equations with Mixed Derivative
Terms and Strongly Discontinuous
Coefficients . . . . . . . . . . . . . . 343--358
J. D. Ramshaw and
C. H. Chang Iteration Scheme for Implicit
Calculations of Kinetic and Equilibrium
Chemical Reactions in Fluid Dynamics . . 359--364
A. Natarajan and
N. Mohankumar A Comparison of Some Quadrature Methods
for Approximating Cauchy Principal Value
Integrals . . . . . . . . . . . . . . . 365--368
Eugene Sorets Fast Fourier Transforms of Piecewise
Constant Functions . . . . . . . . . . . 369--379
Alvin Bayliss and
Andreas Class and
Bernard J. Matkowsky Roundoff Error in Computing Derivatives
Using the Chebyshev Differentiation
Matrix . . . . . . . . . . . . . . . . . 380--383
H. X. Vu and
J. U. Brackbill Accurate Numerical Solution of Charged
Particle Motion in a Magnetic Field . . 384--387
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 388--388
Steve Plimpton Fast Parallel Algorithms for Short-Range
Molecular Dynamics . . . . . . . . . . . 1--19
Hong-Chia Lin Dissipation Additions to Flux-Difference
Splitting . . . . . . . . . . . . . . . 20--27
Jens Lang and
Artur Walter An Adaptive Discontinuous Finite Element
Method for the Transport Equation . . . 28--34
W. Hundsdorfer and
B. Koren and
M. vanLoon and
J. G. Verwer A Positive Finite-Difference Advection
Scheme . . . . . . . . . . . . . . . . . 35--46
Alan F. Hegarty and
John J. H. Miller and
Eugene O'Riordan and
G. I. Shishkin Special Meshes for Finite Difference
Approximations to an Advection-Diffusion
Equation with Parabolic Layers . . . . . 47--54
Dong-o Jeon Finite Difference Method for Calculating
Magnetic Field Components Off-Median
Plane Using Median Plane Field Data . . 55--66
Björn Sjögreen High Order Centered Difference Methods
for the Compressible Navier--Stokes
Equations . . . . . . . . . . . . . . . 67--78
Hua Zhou and
C. Pozrikidis Adaptive Singularity Method for Stokes
Flow Past Particles . . . . . . . . . . 79--89
Dimitri J. Mavriplis An Advancing Front Delaunay
Triangulation Algorithm Designed for
Robustness . . . . . . . . . . . . . . . 90--101
Dan Givoli and
Dan Cohen Nonreflecting Boundary Conditions Based
on Kirchhoff-Type Formulae . . . . . . . 102--113
Stefan Diebels Numerical Study of Barotropic and
Baroclinic Behavior of a Nonlinear
Two-Layer Model . . . . . . . . . . . . 114--120
William J. Coirier and
Kenneth G. Powell An Accuracy Assessment of Cartesian-Mesh
Approaches for the Euler Equations . . . 121--131
Peter S. Bernard A Deterministic Vortex Sheet Method for
Boundary Layer Flow . . . . . . . . . . 132--145
Frank W. Elliott, Jr. and
Andrew J. Majda A New Algorithm with Plane Waves and
Wavelets for Random Velocity Fields with
Many Spatial Scales . . . . . . . . . . 146--162
I. Efrat and
M. Tismenetsky and
B. J. Rubin and
I. Webman Robust Algorithms for the Calculation of
Full-Wave Electromagnetic Solutions . . 163--170
Vincent Natoli and
David M. Ceperley An Optimized Method for Treating
Long-Range Potentials . . . . . . . . . 171--178
Shaaban Abdallah Comments on the Fractional Step Method 179--180
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 181--181
Pierre Perrochet and
Pascal Azérad Space--time Integrated Least-Squares:
Solving a Pure Advection Equation with a
Pure Diffusion Operator . . . . . . . . 183--193
Wayne Arter and
James W. Eastwood Particle-Mesh Schemes for Advection
Dominated Flows . . . . . . . . . . . . 194--204
D. Candela Numerical Methods for Nonlinear Fourier
Analysis, Prediction, and Filtering . . 205--214
Hwar-Ching Ku Solution of Flow in Complex Geometries
by the Pseudospectral Element Method . . 215--227
J. A. Masad and
M. R. Malik Direct Computation of Boundary-Layer
Stability Characteristics . . . . . . . 228--239
J. M. Reese and
L. C. Woods and
F. J. P. Thivet and
S. M. Candel A Second-Order Description of Shock
Structure . . . . . . . . . . . . . . . 240--250
Björn Sjögreen Numerical Experiments with the
Multiresolution Scheme for the
Compressible Euler Equations . . . . . . 251--261
Alan M. Winslow Multifrequency-Gray Method for Radiation
Diffusion with Compton Scattering . . . 262--273
Zhangxin Chen and
Bernardo Cockburn and
Carl L. Gardner and
Joseph W. Jerome Quantum Hydrodynamic Simulation of
Hysteresis in the Resonant Tunneling
Diode . . . . . . . . . . . . . . . . . 274--280
Johan Helsing Estimating Effective Properties of
Composites from Cross-Sectional
Photographs . . . . . . . . . . . . . . 281--288
C. K. B. Lee and
J. M. McDonough Implementation of a Nonlinear Filter
with a Lagrangian Formulation for the
Treatment of Very High Pressure
Reflected Shocks . . . . . . . . . . . . 289--299
Bertil Gustafsson and
Pelle Olsson Fourth-Order Difference Methods for
Hyperbolic IBVPs . . . . . . . . . . . . 300--317
Jingyi Zhu The Second-Order Projection Method for
the Backward-Facing Step Flow . . . . . 318--331
S. B. Pope Particle Method for Turbulent Flows:
Integration of Stochastic Model
Equations . . . . . . . . . . . . . . . 332--349
Jay I. Frankel Several Symbolic Augmented Chebyshev
Expansions for Solving the Equation of
Radiative Transfer . . . . . . . . . . . 350--363
P. van Beek and
R. R. P. van Nooyen and
P. Wesseling Accurate Discretization of Gradients on
Non-uniform Curvilinear Staggered Grids 364--367
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 368--368
Anonymous Author Index for Volume 117 . . . . . . 369--369
John P. Boyd A Chebyshev Polynomial
Interval-Searching Method (``Lanczos
Economization'') for Solving a Nonlinear
Equation with Application to the
Nonlinear Eigenvalue Problem . . . . . . 1--8
Frank R. Graziani The Product Formula Algorithm Applied to
Linear and Radiation Diffusion . . . . . 9--23
S. Ghosal and
P. Moin The Basic Equations for the Large Eddy
Simulation of Turbulent Flows in Complex
Geometry . . . . . . . . . . . . . . . . 24--37
S. P. Spekreijse Elliptic Grid Generation Based on
Laplace Equations and Algebraic
Transformations . . . . . . . . . . . . 38--61
H. S. Ölmez and
J. H. Milgram Numerical Methods for Nonlinear
Interactions between Water Waves . . . . 62--72
Gregory R. Shubin Application of Alternative
Multidisciplinary Optimization
Formulations to a Model Problem for
Static Aeroelasticity . . . . . . . . . 73--85
K. R. Chen and
J. M. Dawson New Scheme for Electromagnetic
Simulations . . . . . . . . . . . . . . 86--91
Kozo Fujii Unified Zonal Method Based on the
Fortified Solution Algorithm . . . . . . 92--108
J. S. Shang A Fractional-Step Method for Solving
$3$D, Time-Domain Maxwell Equations . . 109--119
V. Venkatakrishnan Convergence to Steady State Solutions of
the Euler Equations on Unstructured
Grids with Limiters . . . . . . . . . . 120--130
Mikhail Shashkov and
Stanly Steinberg Support-Operator Finite-Difference
Algorithms for General Elliptic Problems 131--151
P. W. Rambo Finite-Grid Instability in Quasineutral
Hybrid Simulations . . . . . . . . . . . 152--158
Martin Schoen Taylor-Expansion Monte Carlo Simulations
of Classical Fluids in the Canonical and
Grand Canonical Ensemble . . . . . . . . 159--171
Narenda S. Goel and
Fengshi Gang and
Zhonglin Ko Electrostatic Field in Inhomogeneous
Dielectric Media I. Indirect Boundary
Element Method . . . . . . . . . . . . . 172--179
Narendra S. Goel and
Zhonglin Ko and
Fengshi Gang Electrostatic Field in Inhomogeneous
Dielectric Media II. Volume Element
Method . . . . . . . . . . . . . . . . . 180--188
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 189--189
A. E. Jones and
R. J. P. Bain A Generalisation of Planar Magnetic
Gradiometer Design via Orthogonal
Polynomials . . . . . . . . . . . . . . 191--199
Carlos F. de Araujo, Jr. and
Sadhan K. Adhikari and
Lauro Tomio Complex Kohn Variational Principle for
Two-Nucleon Bound-State and Scattering
with the Tensor Potential . . . . . . . 200--207
S. Amini and
S. M. Kirkup Solution of Helmholtz Equation in the
Exterior Domain by Elementary Boundary
Integral Methods . . . . . . . . . . . . 208--221
J. M. Floryan and
L. Czechowski On the Numerical Treatment of Corner
Singularity in the Vorticity Field . . . 222--228
Yih Nen Jeng and
Uon Jan Payne An Adaptive TVD Limiter . . . . . . . . 229--241
Mark H. Carpenter and
John Otto High-Order ``Cyclo--Difference''
Techniques: An Alternative to Finite
Differences . . . . . . . . . . . . . . 242--260
S. Goedecker Low Complexity Algorithms for Electronic
Structure Calculations . . . . . . . . . 261--268
David Adalsteinsson and
James A. Sethian A Fast Level Set Method for Propagating
Interfaces . . . . . . . . . . . . . . . 269--277
Charles R. Justiz and
Ronald M. Sega and
Charles Dalton A Method for Near Field Computation of
Coupled Weakly Ionized Plasma Flows in
Low Earth Orbit . . . . . . . . . . . . 278--293
Meng-Sing Liou An Extended Lagrangian Method . . . . . 294--309
J. Horno and
C. F. González-Fernández and
A. Hayas The Network Method for Solutions of
Oscillating Reaction-Diffusion Systems 310--319
M. N. Kooper and
H. A. van der Vorst and
S. Poedts and
J. P. Goedbloed Application of the implicitly updated
Arnoldi method with a complex
shift-and-invert strategy in MHD . . . . 320--328
Shuling Hou and
Qisu Zou and
Shiyi Chen and
Gary Doolen and
Allen C. Cogley Simulation of Cavity Flow by the Lattice
Boltzmann Method . . . . . . . . . . . . 329--347
A. McKenney and
L. Greengard and
A. Mayo A Fast Poisson Solver for Complex
Geometries . . . . . . . . . . . . . . . 348--355
A. Ghizzo and
T. Réveillé and
P. Bertrand and
T. W. Johnston and
J. Lebas and
M. Shoucri An Eulerian Vlasov--Hilbert Code for the
Numerical Simulation of the Interaction
of High-Frequency Electromagnetic Waves
with Plasma . . . . . . . . . . . . . . 356--365
V. G. Priymak Pseudospectral Algorithms for
Navier--Stokes Simulation of Turbulent
Flows in Cylindrical Geometry with
Coordinate Singularities . . . . . . . . 366--379
Rainald Löhner Robust, Vectorized Search Algorithms for
Interpolation on Unstructured Grids . . 380--387
R. Côté and
M. J. Jamieson Comparison of Phase-Shift Calculations
by Asymptotic Fit and Quadrature in
Ultra-Low Temperature Scattering . . . . 388--391
Fabio P. Bertolotti and
Ronald D. Joslin Effect of Far-Field Boundary Conditions
on Boundary-Layer Transition . . . . . . 392--395
Cheng Jinrong and
Zhang Ziping and
Zhou Qin and
Yi Youmin and
Gao Yongchun and
Ynag Detian Computer Simulation Study of the
Properties of Orthopositronium 3 $
\gamma $ Decay . . . . . . . . . . . . . 396--400
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 401--401
Irad Yavneh and
James C. McWilliams Robust Multigrid Solution of the
Shallow-Water Balance Equations . . . . 1--25
S. J. Jacobs An Accurate Split Step Scheme for
Viscous Incompressible Fluid Flow . . . 26--33
Niel K. Madsen Divergence Preserving Discrete Surface
Integral Methods for Maxwell's Curl
Equations Using Non-orthogonal
Unstructured Grids . . . . . . . . . . . 34--45
S. Micheletti and
A. Quarteroni and
R. Sacco Current-Voltage Characteristics
Simulation of Semiconductor Devices
Using Domain Decomposition . . . . . . . 46--61
Pinhas Bar-Yoseph and
Eduard Moses and
Uzi Zrahia and
Alexander L. Yarin Space--time Spectral Element Methods for
One-Dimensional Nonlinear
Advection-Diffusion Problems . . . . . . 62--74
James R. Scott and
Hafiz M. Atassi A Finite-Difference, Frequency-Domain
Numerical Scheme for the Solution of the
Gust Response Problem . . . . . . . . . 75--93
F. Baras and
M. Malek Mansour and
A. L. Garcia and
M. Mareschal Particle Simulation of Complex Flows in
Dilute Systems . . . . . . . . . . . . . 94--104
Michael N. Vrahatis An Efficient Method for Locating and
Computing Periodic Orbits of Nonlinear
Mappings . . . . . . . . . . . . . . . . 105--119
Hans G. Kaper and
Man Kam Kwong Vortex Configurations in Type-II
Superconducting Films . . . . . . . . . 120--131
Alvin Bayliss and
Marc Garbey and
Bernard J. Matkowsky Adaptive Pseudo-Spectral Domain
Decomposition and the Approximation of
Multiple Layers . . . . . . . . . . . . 132--141
P. Knupp Mesh Generation Using Vector Fields . . 142--148
A. A. Kulikovsky A More Accurate Scharfetter--Gummel
Algorithm of Electron Transport for
Semiconductor and Gas Discharge
Simulation . . . . . . . . . . . . . . . 149--155
J. P. Apruzese and
R. W. Clark and
J. W. Thornhill A Single Ray Approximation for $ \alpha
$ Particle Transport . . . . . . . . . . 156--163
Ruediger Jakob-Chien and
James J. Hack and
David L. Williamson Spectral Transform Solutions to the
Shallow Water Test Set . . . . . . . . . 164--187
John K. Dukowicz Mesh Effects for Rossby Waves . . . . . 188--194
David B. Gray and
George A. McMechan Numerical Investigation of an Analytic
Solution of a Multi-dimensional
Lippman--Schwinger Seismic Inverse
Problem . . . . . . . . . . . . . . . . 195--205
R. Schäfer and
R. Blendowske On the Numerical Solution of the
Time-Dependent Schrödinger Equation . . . 206--208
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 209--210
Michael Mascagni and
Steven A. Cuccaro and
Daniel V. Pryor and
M. L. Robinson A Fast, High Quality, and Reproducible
Parallel Lagged-Fibonacci Pseudorandom
Number Generator . . . . . . . . . . . . 211--219
M. D. Kartalev and
M. S. Kaschiev and
D. K. Koitchev Finite Element Numerical Modeling of
Stationary Two-Dimensional Magnetosphere
with Defined Boundary . . . . . . . . . 220--230
Nadeem A. Malik and
Th. Dracos Interpolation Schemes for
Three-Dimensional Velocity Fields from
Scattered Data Using Taylor Expansions 231--243
Hajime Igarashi and
Toshihisa Honma Strategies for the Accurate Computation
of Potential Derivatives in Boundary
Element Method: Application to
Two-Dimensional Problems . . . . . . . . 244--251
Isaac Harari and
Eli Turkel Accurate Finite Difference Methods for
Time-Harmonic Wave Propagation . . . . . 252--270
Moulay D. Tidriri Domain decomposition for compressible
Navier--Stokes equations with different
discretizations and formulations . . . . 271--282
Richard E. Denton and
M. Kotschenreuther $ \delta f $ Algorithm . . . . . . . . . 283--294
Sin-Chung Chang The Method of Space--time Conservation
Element and Solution Element --- a New
Approach for Solving the Navier--Stokes
and Euler Equations . . . . . . . . . . 295--324
Chaoqun Liu and
Zhining Liu Multigrid Mapping and Box Relaxation for
Simulation of the Whole Process of Flow
Transition in $3$D Boundary Layers . . . 325--341
H. M. Al-Rizzo and
J. M. Tranquilla Electromagnetic Scattering from
Dielectrically Coated Axisymmetric
Objects Using the Generalized
Point-Matching Technique . . . . . . . . 342--355
H. M. Al-Rizzo and
J. M. Tranquilla Electromagnetic Scattering from
Dielectrically Coated Axisymmetric
Objects Using the Generalized
Point-Matching Technique (GPMT) . . . . 356--373
Jacobo Bielak and
Richard C. Maccamy and
Xiaogang Zeng Stable Coupling Method for Interface
Scattering Problems by Combined Integral
Equations and Finite Elements . . . . . 374--384
Edward Brizuela Accurate Normalisation of the
Beta-Function PDF . . . . . . . . . . . 385--387
Arnold W. Heemink and
Pieter A. Blokland On Random Walk Models with Space Varying
Diffusivity . . . . . . . . . . . . . . 388--389
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 390--390
G. A. L. vandeVorst and
R. M. M. Mattheu A BEM--BDF Scheme for Curvature Driven
Moving Stokes Flows . . . . . . . . . . 1--14
John P. Boyd A Hyperasymptotic Perturbative Method
for Computing the Radiation Coefficient
for Weakly Nonlocal Solitary Waves . . . 15--32
Oleg V. Vasilyev and
Samuel Paolucci and
Mihir Sen A Multilevel Wavelet Collocation Method
for Solving Partial Differential
Equations in a Finite Domain . . . . . . 33--47
Kun Xu and
Luigi Martinelli and
Antony Jameson Gas-Kinetic Finite Volume Methods,
Flux-Vector Splitting, and Artificial
Diffusion . . . . . . . . . . . . . . . 48--65
Lia Bronsard and
Brian T. R. Wetton A Numerical Method for Tracking Curve
Networks Moving with Curvature Motion 66--87
M. C. A. M. Peters and
H. W. M. Hoeijemakers A Vortex Sheet Method Applied to
Unsteady Flow Separation from Sharp
Edges . . . . . . . . . . . . . . . . . 88--104
Alexandre Ern and
Vincent Giovangigli Fast and Accurate Multicomponent
Transport Property Evaluation . . . . . 105--116
D. W. Bailey and
J. M. Higman A Discretized $k$-Space Method for
Charge Transport in Semiconductors . . . 117--127
D. Adalsteinsson and
J. A. Sethian A Level Set Approach to a Unified Model
for Etching, Deposition, and Lithography
I: Algorithms and Two-Dimensional
Simulations . . . . . . . . . . . . . . 128--144
E. Fatemi and
B. Engquist and
S. Osher Numerical Solution of the High Frequency
Asymptotic Expansion for the Scalar Wave
Equation . . . . . . . . . . . . . . . . 145--155
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 156--156
K. F. C. Yiu and
M. B. Giles Simultaneous Viscous-Inviscid Coupling
via Transpiration . . . . . . . . . . . 157--170
Gilles Carte and
Jan Dusek and
Philippe Fraunié A Spectral Time Discretization for Flows
with Dominant Periodicity . . . . . . . 171--183
Jan Nordström Accurate Solutions of the Navier--Stokes
Equations Despite Unknown Outflow
Boundary Data . . . . . . . . . . . . . 184--205
A. Safjan and
J. T. Oden High-Order Taylor--Galerkin Methods for
Linear Hyperbolic Systems . . . . . . . 206--230
Matthew R. Gibbons and
Dennis W. Hewett The Darwin Direct Implicit
Particle-in-Cell (DADIPIC) Method for
Simulation of Low Frequency Plasma
Phenomena . . . . . . . . . . . . . . . 231--247
J. deFrutos and
M. A. López-Marcos and
J. M. Sanz-Serna A Finite Difference Scheme for the $
K(2, 2) $ Compacton Equation . . . . . . 248--252
Dianyun Peng High-Order Numerical Method for
Two-Point Boundary Value Problems . . . 253--259
J. Werne Incompressibility and No-Slip Boundaries
in the Chebyshev--Tau Approximation:
Correction to Kleiser and Schumann's
Influence-Matrix Solution . . . . . . . 260--265
A. Dolezal and
S. S. M. Wong Relativistic Hydrodynamics and
Essentially Non-oscillatory Shock
Capturing Schemes . . . . . . . . . . . 266--277
Richard B. Pember and
John B. Bell and
Phillip Colella and
William Y. Curtchfield and
Michael L. Welcome An Adaptive Cartesian Grid Method for
Unsteady Compressible Flow in Irregular
Regions . . . . . . . . . . . . . . . . 278--304
D. Eyre Spline-Galerkin Solution of Dynamic
Equations for Particle Comminution and
Collection . . . . . . . . . . . . . . . 305--315
Akira Aoyagi Nonlinear Leapfrog Instability for
Fornberg's Pattern . . . . . . . . . . . 316--322
J. Y. Yang and
J. C. Huang Rarefied Flow Computations Using
Nonlinear Model Boltzmann Equations . . 323--339
Fang Q. Hu A Spectral Boundary Integral Equation
Method for the $2$D Helmholtz Equation 340--347
Gregory Baker and
Michael Siegel and
Saleh Tanveer A Well-Posed Numerical Method to Track
Isolated Conformal Map Singularities in
Hele--Shaw Flow . . . . . . . . . . . . 348--364
T. Matsushima and
P. S. Marcus A Spectral Method for Polar Coordinates 365--374
Daniel I. Okunbor Energy Conserving, Liouville, and
Symplectic Integrators . . . . . . . . . 375--378
C. de Nicola and
G. Pinto and
R. Tognaccini On the Conditional Consistency of an
Explicit Numerical Scheme . . . . . . . 378--382
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 383--383
Anonymous Author Index for Volume 120 . . . . . . 384--384
Lionel Sainsaulieu Finite Volume Approximation of Two
Phase-Fluid Flows Based on an
Approximate Roe-Type Riemann Solver . . 1--28
John T. Hamilton and
George Majda On the Rokhlin--Greengard method with
vortex blobs for problems posed in all
space or periodic in one direction . . . 29--50
Wenlong Dai and
Paul R. Woodward A Simple Riemann Solver and High-Order
Godunov Schemes for Hyperbolic Systems
of Conservation Laws . . . . . . . . . . 51--65
R. Radespiel and
N. Kroll Accurate Flux Vector Splitting for
Shocks and Shear Layers . . . . . . . . 66--78
P. Garcia-Navarro and
M. E. Hubbard and
A. Priestley Genuinely Multidimensional Upwinding for
the $2$D Shallow Water Equations . . . . 79--93
F. Vadillo Spurious Behavior for a Numerical Scheme
of Nonlinear Elliptic Equations . . . . 94--101
Alvin K. Benson Decomposition and Inversion of Elastic
Reflection Data: First-Order Angular
Dependence and Applications . . . . . . 102--114
David G. Bishop Material-Based Limiters for the
Time-Domain Maxwell Equations with Thin
Conducting Sheets . . . . . . . . . . . 115--128
Prabir Daripa An Investigation of Some Pattern
Selection Issues in the Rising Plane
Taylor Bubble Problem . . . . . . . . . 129--141
Samuel W. J. Welch Local Simulation of Two-Phase Flows
Including Interface Tracking with Mass
Transfer . . . . . . . . . . . . . . . . 142--154
H. A. Carlson and
G. Berkooz and
J. L. Lumley Direct Numerical Simulation of Flow in a
Channel with Complex, Time-Dependent
Wall Geometries: a Pseudospectral Method 155--175
Ralf Hannappel and
Thomas Hauser and
Rainer Friedrich A Comparison of ENO and TVD Schemes for
the Computation of Shock-Turbulence
Interaction . . . . . . . . . . . . . . 176--184
F. Schmitz On the Calculation of the Gravitational
Force of Axi-symmetric Infinitely Thin
Disks . . . . . . . . . . . . . . . . . 185--189
J. Blair Perot Comments on the Fractional Step Method 190--191
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 192--192
Hae-Soo Oh and
Ivo Babu\vska The method of auxiliary mapping for the
finite element solutions of elasticity
problems containing singularities . . . 193--212
R. Klein Semi-implicit extension of a
Godunov-type scheme based on low Mach
number asymptotics I: One-dimensional
flow . . . . . . . . . . . . . . . . . . 213--237
Tetsuya Hattori and
Hideo Nakajima Improvement of efficiency in generating
random $ {\rm U}(1) $ variables with
Boltzmann distribution (von Mises
distribution revisited) . . . . . . . . 238--245
Maxim Poliashenko and
Cyrus K. Aidun A direct method for computation of
simple bifurcations . . . . . . . . . . 246--260
Roque Corral and
Javier Jiménez Fourier/Chebyshev methods for the
incompressible Navier--Stokes equations
in infinite domains . . . . . . . . . . 261--270
B. T. Nadiga An adaptive discrete-velocity model for
the shallow water equations . . . . . . 271--280
Eric Sonnendrücker and
John J. Ambrosiano and
Scott T. Brandon A finite element formulation of the
Darwin PIC model for use on unstructured
grids . . . . . . . . . . . . . . . . . 281--297
G. Manfredi and
M. Shoucri and
M. R. Feix and
P. Bertrand and
E. Fijalkow and
A. Ghizzo The numerical integration of the Vlasov
equation possessing an invariant . . . . 298--313
Farzan Abdolsalami and
Mehran Abdolsalami and
Lennard Perez and
Pedro Gomez and
Mark Silva Study of electron-molecule collision via
finite-element method and R-matrix
propagation technique: Exact exchange 314--323
Oleg P. Iliev and
Mikhail M. Makarov A block-matrix iterative numerical
method for coupled solving $2$D
Navier--Stokes equations . . . . . . . . 324--330
X. Zhuang and
A. K. Didwania and
J. D. Goddard Simulation of the quasi-static mechanics
and scalar transport properties of ideal
granular assemblages . . . . . . . . . . 331--346
Omar Ghattas and
Xiaogang Li A variational finite element method for
stationary nonlinear fluid-solid
interaction . . . . . . . . . . . . . . 347--356
Dinshaw S. Balsara von Neumann stability analysis of
smoothed particle
hydrodynamics-suggestions for optimal
algorithms . . . . . . . . . . . . . . . 357--372
Sriganesh R. Karur and
P. A. Ramachandran Orthogonal collocation in the
nonconforming boundary element method 373--382
Anonymous Abstracts of papers to appear in future
issues . . . . . . . . . . . . . . . . . 383--383
Anonymous Author index for volume 121 . . . . . . 384--384
John Strain Spectral Methods for Nonlinear Parabolic
Systems . . . . . . . . . . . . . . . . 1--12
Andrew W. Gill and
G. E. Sneddon Complex Mapped Matrix Methods in
Hydrodynamic Stability Problems . . . . 13--24
Bosco García-Archilla Some Practical Experience with the Time
Integration of Dissipative Equations . . 25--29
John R. Williams and
Kevin Amaratunga A Multiscale Wavelet Solver with $ O(n)
$ Complexity . . . . . . . . . . . . . . 30--38
Y. Cai and
I. M. Navon Parallel Block Preconditioning
Techniques for the Numerical Simulation
of the Shallow Water Flow Using Finite
Element Methods . . . . . . . . . . . . 39--50
Shi Jin Runge--Kutta Methods for Hyperbolic
Conservation Laws with Stiff Relaxation
Terms . . . . . . . . . . . . . . . . . 51--67
X. H. Wu and
J. Z. Wu and
J. M. Wu Effective Vorticity-Velocity
Formulations for Three-Dimensional
Incompressible Viscous Flows . . . . . . 68--82
D. Pathria and
G. E. Karniadakis Spectral Element Methods for Elliptic
Problems in Nonsmooth Domains . . . . . 83--95
Z. J. Wang A Fully Conservative Interface Algorithm
for Overlapped Grids . . . . . . . . . . 96--106
R. Jyotsna and
S. P. Vanka Multigrid Calculation of Steady, Viscous
Flow in a Triangular Cavity . . . . . . 107--117
Juan Mario Restrepo and
Gary K. Leaf Wavelet-Galerkin Discretization of
Hyperbolic Equations . . . . . . . . . . 118--128
Juan Mario Restrepo and
Jerry L. Bona Discretization of a Model for the
Formation of Longshore Sand Ridges . . . 129--142
Norio Nakagawa A Weakly Singular Formulation of
Boundary Integral Equations and Field
Computation near Boundaries . . . . . . 143--149
Shaofen Tan and
Nestor Sepulveda and
John P. Wikswo, Jr. A New Finite-Element Approach to
Reconstruct a Bounded and Discontinuous
Two-Dimensional Current Image from a
Magnetic Field Map . . . . . . . . . . . 150--164
David L. Brown Performance of Under-resolved
Two-Dimensional Incompressible Flow
Simulations . . . . . . . . . . . . . . 165--183
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 184--184
B. E. McDonald and
Gregory J. Orbis Performance of the Matched-Phase Noise
Filter with Estimated Noise Spectra . . 185--190
Ronald D. Henderson and
George Em Karniadakis Unstructured Spectral Element Methods
for Simulation of Turbulent Flows . . . 191--217
William J. Morokoff and
Russel E. Caflisch Quasi-Monte Carlo Integration . . . . . 218--230
Marcus J. Grote and
Joseph B. Keller On Nonreflecting Boundary Conditions . . 231--243
Wai Sun Don and
Carl B. Quillen Numerical Simulation of Shock-Cylinder
Interactions: I. Resolution . . . . . . 244--265
J. R. Cash and
G. Moore and
R. W. Wright An Automatic Continuation Strategy for
the Solution of Singularly Perturbed
Linear Two-Point Boundary Value Problems 266--279
M. L. Sawley and
J. K. Tegnér A Comparison of Parallel Programming
Models for Multiblock Flow Computations 280--290
C. Y. Lepage and
W. H. Hui A Shock-Adaptive Godunov Scheme Based on
the Generalised Lagrangian Formulation 291--299
S. C. R. Dennis and
J. D. Hudson Methods of Solution of the
Velocity-Vorticity Formulation of the
Navier--Stokes Equations . . . . . . . . 300--306
Lars Ferm Non-Reflecting Boundary Conditions for
the Steady Euler Equations . . . . . . . 307--316
Steven R. Lustig and
Sanjeev Rastogi and
Norman Wagner Telescoping Fast Multipole Methods Using
Chebyshev Economization . . . . . . . . 317--322
Bohdan Z. Cybyk and
Elaine S. Oran and
Jay P. Boris and
John D. Anderson, Jr. Combining the Monotonic Lagrangian Grid
with a Direct Simulation Monte Carlo
Model . . . . . . . . . . . . . . . . . 323--334
H. Kröger and
S. Lantagne and
K. J. M. Moriarty Momentum Lattice Simulation on a Small
Lattice Using Stochastic Quantization 335--342
I. I. Guseinov and
A. Özmen and
Ü. Atav and
H. Yüksel Computation of Clebsch--Gordan and Gaunt
Coefficients Using Binomial Coefficients 343--347
D. Adalsteinsson and
J. A. Sethian A Level Set Approach to a Unified Model
for Etching, Deposition, and Lithography
II: Three-Dimensional Simulations . . . 348--366
F. Mashayek and
N. Ashgriz A Spine-Flux Method for Simulating Free
Surface Flows . . . . . . . . . . . . . 367--379
W. M. Pickering and
P. J. Harley On Robbins Boundary Conditions, Elliptic
Equations, and FFT Methods . . . . . . . 380--383
Anonymous Acknowledgment . . . . . . . . . . . . . 384--386
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 387--387
Anonymous Author Index for Volume 122 . . . . . . 388--388
Anonymous Cumulative Author--Title Index
1990--1995 . . . . . . . . . . . . . . . 389--410
José M. Martí and
Ewald Müller Extension of the Piecewise Parabolic
Method to One-Dimensional Relativistic
Hydrodynamics . . . . . . . . . . . . . 1--14
A. R. Schellhase and
R. G. Storer Spectral Analysis of Resistive MHD in
Toroidal Geometry . . . . . . . . . . . 15--31
M. Meneguzzi and
H. Politano and
A. Pouquet and
M. Zolver A Sparse-Mode Spectral Method for the
Simulation of Turbulent Flows . . . . . 32--44
A. Lerat and
Z. N. Wu Stable Conservative Multidomain
Treatments for Implicit Euler Solvers 45--64
Jun Liu A Stability Analysis on Beck's Procedure
for Inverse Heat Conduction Problems . . 65--73
John Thuburn Multidimensional Flux-Limited Advection
Schemes . . . . . . . . . . . . . . . . 74--83
Jack R. Edwards An Implicit Multigrid Algorithm for
Computing Hypersonic, Chemically
Reacting Viscous Flows . . . . . . . . . 84--95
Y. Tang and
R. Grimshaw Radiation Boundary Conditions in
Barotropic Coastal Ocean Numerical
Models . . . . . . . . . . . . . . . . . 96--110
L. Giraud and
G. Manzini Parallel Implementations of $2$D
Explicit Euler Solvers . . . . . . . . . 111--118
C. K. B. Lee and
R. C. Crawford and
J. M. McDonough Improved Solutions to the Small Strain
Continuum Equations Using a Modified
Engquist Filter . . . . . . . . . . . . 119--126
Damir Juric and
Grétar Tryggvason A Front-Tracking Method for Dendritic
Solidification . . . . . . . . . . . . . 127--148
M. Haftel and
R. Krivec and
V. B. Mandelzweig Power Series Solution of Coupled
Differential Equations in One Variable 149--161
Siamak S. Gousheh An Efficient Algorithm for Solving
Coupled Schrödinger Type ODE's, Whose
Potentials Include $ \delta $-Functions 162--168
Michael E. Jones and
Don S. Lemons and
Rodney J. Mason and
Vincent A. Thomas and
Dan Winske A Grid-Based Coulomb Collision Model for
PIC Codes . . . . . . . . . . . . . . . 169--181
D. L. Darmofal and
R. Haimes An Analysis of $3$D Particle Path
Integration Algorithms . . . . . . . . . 182--195
James D. Sterling and
Shiyi Chen Stability Analysis of Lattice Boltzmann
Methods . . . . . . . . . . . . . . . . 196--206
Barna L. Bihari Multiresolution Schemes for Conservation
Laws with Viscosity . . . . . . . . . . 207--225
Prabir Daripa Pointed Taylor Bubble Revisited . . . . 226--230
E. V. Vorozhtsov and
B. Yu. Scobelev and
V. G. Ganzha Corrigendum . . . . . . . . . . . . . . 231--232
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 233--233
F. Lafon and
S. Osher High Order Two Dimensional
Nonoscillatory Methods for Solving
Hamilton--Jacobi Scalar Equations . . . 235--253
William D. Gropp and
Hans G. Kaper and
Gary K. Leaf and
David M. Levine and
Mario Palumbo and
Valerii M. Vinokur Numerical Simulation of Vortex Dynamics
in Type-II Superconductors . . . . . . . 254--266
Simon Capstick and
B. D. Keister Multidimensional Quadrature Algorithms
at Higher Degree and/or Dimension . . . 267--273
Ezzat G. Bakhoum and
John A. Board, Jr. The Geometric Solution of Laplace's
Equation . . . . . . . . . . . . . . . . 274--295
R. H. Nochetto and
M. Paolini and
C. Verdi A Dynamic Mesh Algorithm for Curvature
Dependent Evolving Interfaces . . . . . 296--310
Robert L. Higdon and
Andrew F. Bennett Stability Analysis of Operator Splitting
for Large-Scale Ocean Modeling . . . . . 311--329
Kees Vuik and
Agur G. J. Sevink and
Gérard C. Herman A Preconditioned Krylov Subspace Method
for the Solution of Least Squares
Problems in Inverse Scattering . . . . . 330--340
Ricardo Cortez An Impulse-Based Approximation of Fluid
Motion due to Boundary Forces . . . . . 341--353
Randall J. LeVeque and
Keh-Ming Shyue Two-Dimensional Front Tracking Based on
High Resolution Wave Propagation Methods 354--368
M. R. M. Witwit Energy Levels for Nonsymmetric
Double-Well Potentials in Several
Dimensions: Hill Determinant Approach 369--378
Andrew M. Wissink and
Anastasios S. Lyrintzis and
Anthony T. Chronopoulos Efficient Iterative Methods Applied to
the Solution of Transonic Flows . . . . 379--393
Ahmed Khamayseh and
C. Wayne Mastin Computational Conformal Mapping for
Surface Grid Generation . . . . . . . . 394--401
R. Verzicco and
P. Orlandi A Finite-Difference Scheme for
Three-Dimensional Incompressible Flows
in Cylindrical Coordinates . . . . . . . 402--414
V. Varadarajan and
G. H. Miley Linear Instability Analysis for Toroidal
Plasma Flow Equilibria . . . . . . . . . 415--434
Michael L. Minion On the Stability of Godunov-Projection
Methods for Incompressible Flow . . . . 435--449
E. M. Saiki and
S. Biringen Numerical Simulation of a Cylinder in
Uniform Flow: Application of a Virtual
Boundary Method . . . . . . . . . . . . 450--465
Andrei V. Malevsky Spline-Characteristic Method for
Simulation of Convective Turbulence . . 466--475
D. Rh. Gwynllyw and
A. R. Davies and
T. N. Phillips A Moving Spectral Element Approach to
the Dynamically Loaded Journal Bearing
Problem . . . . . . . . . . . . . . . . 476--494
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 495--495
Anonymous Author Index for Volume 123 . . . . . . 496--496
Panos Tamamidis and
Guoqing Zhang and
Dennis N. Assanis Comparison of Pressure-Based and
Artificial Compressibility Methods for
Solving $3$D Steady Incompressible
Viscous Flows . . . . . . . . . . . . . 1--13
S. J. Sherwin and
G. E. Karniadakis Tetrahedral hp Finite Elements:
Algorithms and Flow Simulations . . . . 14--45
Paul P. Whalen Algebraic Limitations on Two-Dimensional
Hydrodynamics Simulations . . . . . . . 46--54
John P. Boyd Numerical Computations of a Nearly
Singular Nonlinear Equation: Weakly
Nonlocal Bound States of Solitons for
the Fifth-Order Korteweg--de Vries
Equation . . . . . . . . . . . . . . . . 55--70
Bruce D. Scott A Second-Order Accurate Implicit Scheme
for Strongly Coupled Fluid Equations
Applied to Fluid Electron Turbulence in
a Magnetised Plasma . . . . . . . . . . 71--84
E. Glikman and
I. Kelson and
N. V. Doan and
H. Tietze An Optimized Algorithm for Molecular
Dynamics Simulation of Large-Scale
Systems . . . . . . . . . . . . . . . . 85--92
C. Ronchi and
R. Iacono and
P. S. Paolucci The ``Cubed Sphere'': a New Method for
the Solution of Partial Differential
Equations in Spherical Geometry . . . . 93--114
R. N. Silver and
H. Roeder and
A. F. Voter and
J. D. Kress Kernel Polynomial Approximations for
Densities of States and Spectral
Functions . . . . . . . . . . . . . . . 115--130
John Strain $2$D Vortex Methods and Singular
Quadrature Rules . . . . . . . . . . . . 131--145
Frank Webster and
Gen-Ching Lo Projective Block Lanczos Algorithm for
Dense, Hermitian Eigensystems . . . . . 146--161
Sampath Palaniswamy and
Sukumar R. Chakravarthy Stability of Explicit Schemes in the
Physical and Frequency Domains . . . . . 162--176
F. Q. Hu and
M. Y. Hussaini and
J. L. Manthey Low-Dissipation and Low-Dispersion
Runge--Kutta Schemes for Computational
Acoustics . . . . . . . . . . . . . . . 177--191
Xiaoguang Zhong and
Thomas Y. Hou and
Philippe G. LeFloch Computational Methods for Propagating
Phase Boundaries . . . . . . . . . . . . 192--216
Wenlong Dai and
Paul R. Woodward Iterative Implementation of an
Implicit-Explicit Hybrid Scheme for
Hydrodynamics . . . . . . . . . . . . . 217--229
M. Kinoshita and
D. R. Bérard Analysis of the Bulk and Surface-Induced
Structure of Electrolyte Solutions Using
Integral Equation Theories . . . . . . . 230--241
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 242--242
Sergej Rjasanow and
Wolfgang Wagner A Stochastic Weighted Particle Method
for the Boltzmann Equation . . . . . . . 243--253
Francesco Malara A Chebyshev Pseudospectral Multidomain
Method for a Boundary-Layer Problem . . 254--270
V. Eyert A Comparative Study on Methods for
Convergence Acceleration of Iterative
Vector Sequences . . . . . . . . . . . . 271--285
I. Toumi and
A. Kumbaro An Approximate Linearized Riemann Solver
for a Two-Fluid Model . . . . . . . . . 286--300
Katsuhiro Sakai A New Finite Variable Difference Method
with Application to Locally Exact
Numerical Scheme . . . . . . . . . . . . 301--308
Desmond J. Higham and
Brynjulf Owren Nonnormality Effects in a Discretised
Nonlinear Reaction-Convection-Diffusion
Equation . . . . . . . . . . . . . . . . 309--323
Rosemary Renaut and
Jochen Fröhlich A Pseudospectral Chebychev Method for
the $2$D Wave Equation with Domain
Stretching and Absorbing Boundary
Conditions . . . . . . . . . . . . . . . 324--336
Shivshankar Sundaram and
Lance R. Collins Numerical Considerations in Simulating a
Turbulent Suspension of Finite-Volume
Particles . . . . . . . . . . . . . . . 337--350
R. Mittal and
S. Balachandar Direct Numerical Simulation of Flow Past
Elliptic Cylinders . . . . . . . . . . . 351--367
Weinan E. and
Jian-Guo Liu Vorticity Boundary Condition and Related
Issues for Finite Difference Schemes . . 368--382
Esteban G. Tabak A Second-Order Godunov Method on
Arbitrary Grids . . . . . . . . . . . . 383--395
Yen Liu Fourier Analysis of Numerical Algorithms
for the Maxwell Equations . . . . . . . 396--416
H. X. Vu An Adiabatic Fluid Electron
Particle-in-Cell Code for Simulating
Ion-Driven Parametric Instabilities . . 417--430
M. E. Everett Homotopy, Polynomial Equations, Gross
Boundary Data, and Small Helmholtz
Systems . . . . . . . . . . . . . . . . 431--441
E. Y. Deeba and
S. A. Khuri A Decomposition Method for Solving the
Nonlinear Klein--Gordon Equation . . . . 442--448
Y. C. Chang and
T. Y. Hou and
B. Merriman and
S. Osher A Level Set Formulation of Eulerian
Interface Capturing Methods for
Incompressible Fluid Flows . . . . . . . 449--464
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 465--465
Anonymous Author Index for Volume 124 . . . . . . 466--466
Knut S. Eckhoff and
Jens H. Rolfsnes On Nonsmooth Solutions of Linear
Hyperbolic Systems . . . . . . . . . . . 1--15
J. M. Hobson and
N. Wood and
P. J. Mason A New Finite-Difference Diffusion Scheme 16--25
L. Bottura A Numerical Model for the Simulation of
Quench in the ITER Magnets . . . . . . . 26--41
Rosa Donat and
Antonio Marquina Capturing Shock Reflections: An Improved
Flux Formula . . . . . . . . . . . . . . 42--58
W. J. Ferguson and
I. W. Turner A Control Volume Finite Element
Numerical Simulation of the Drying of
Spruce . . . . . . . . . . . . . . . . . 59--70
Satoru Ushijima Arbitrary Lagrangian--Eulerian Numerical
Prediction for Local Scour Caused by
Turbulent Flows . . . . . . . . . . . . 71--82
P. A. Sackinger and
P. R. Schunk and
R. R. Rao A Newton--Raphson Pseudo-Solid Domain
Mapping Technique for Free and Moving
Boundary Problems: a Finite Element
Implementation . . . . . . . . . . . . . 83--103
Bo-nan Jiang and
Jie Wu and
L. A. Povinelli The Origin of Spurious Solutions in
Computational Electromagnetics . . . . . 104--123
Angelo Iollo and
Manuel D. Salas Contribution to the Optimal Shape Design
of Two-Dimensional Internal Flows with
Embedded Shocks . . . . . . . . . . . . 124--134
Yusuf Özyörük and
Lyle N. Long A New Efficient Algorithm for
Computational Aeroacoustics on Parallel
Processors . . . . . . . . . . . . . . . 135--149
Rémi Abgrall How to Prevent Pressure Oscillations in
Multicomponent Flow Calculations: a
Quasi Conservative Approach . . . . . . 150--160
Ram K. Ganesh and
Wallace W. Bowley and
Robert R. Bellantone and
Yukap Hahn A Model for Laser Hole Drilling in
Metals . . . . . . . . . . . . . . . . . 161--176
Willie R. Watson and
Michael G. Jones and
Sharon E. Tanner and
Tony L. Parrott A Finite Element Propagation Model for
Extracting Normal Incidence Impedance in
Nonprogressive Acoustic Wave Fields . . 177--186
Sandip Ghosal An Analysis of Numerical Errors in
Large-Eddy Simulations of Turbulence . . 187--206
Christopher R. Anderson and
Marc B. Reider A High Order Explicit Method for the
Computation of Flow About a Circular
Cylinder . . . . . . . . . . . . . . . . 207--224
John Z. Lou and
Robert Ferraro A Parallel Incompressible Flow Solver
Package with a Parallel Multigrid
Elliptic Kernel . . . . . . . . . . . . 225--243
David A. Kopriva and
John H. Kolias A Conservative Staggered-Grid Chebyshev
Multidomain Method for Compressible
Flows . . . . . . . . . . . . . . . . . 244--261
Jacob J. Thiart and
Vladimir Hlavacek Numerical Solution of Free-Boundary
Problems: Calculation of Interface
Evolution during CVD Growth . . . . . . 262--276
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 277--278
Qianshun Chang and
Yau Shu Wong and
Hanqing Fu On the Algebraic Multigrid Method . . . 279--292
Alfred Schmidt Computation of Three Dimensional
Dendrites with Finite Elements . . . . . 293--312
Lawrence L. Green and
Perry A. Newman and
Kara J. Haigler Sensitivity Derivatives for Advanced CFD
Algorithm and Viscous Modeling
Parameters via Automatic Differentiation 313--324
I. Klapper Biological Applications of the Dynamics
of Twisted Elastic Rods . . . . . . . . 325--337
Edwin L. Blosch and
Wei Shyy Scalability and Performance of
Data-Parallel Pressure-Based Multigrid
Methods for Viscous Flows . . . . . . . 338--353
S. O. Ibraheem and
A. O. Demuren On Bi-grid Local Mode Analysis of
Solution Techniques for $3$-D Euler and
Navier--Stokes Equations . . . . . . . . 354--377
J. S. Shang and
Robert M. Fithen A Comparative Study of
Characteristic-Based Algorithms for the
Maxwell Equations . . . . . . . . . . . 378--394
Bosco García-Archilla A Spectral Method for the Equal Width
Equation . . . . . . . . . . . . . . . . 395--402
Leslie Greengard and
Mary Catherine Kropinski and
Anita Mayo Integral equation methods for Stokes
flow and isotropic elasticity in the
plane . . . . . . . . . . . . . . . . . 403--414
Leslie Greengard and
June-Yub Lee A direct adaptive Poisson solver of
arbitrary order accuracy . . . . . . . . 415--424
G.-C. Zha and
E. Bilgen Numerical Study of Three-Dimensional
Flows Using Unfactored Upwind-Relaxation
Sweeping Algorithm . . . . . . . . . . . 425--433
Jinpin Ying and
Feng Wu and
Wei Sun Simultaneous Reconstruction of Two
Parameters for Transport Equation in a
Stratified Half-Space . . . . . . . . . 434--439
Luis Eça $2$D Orthogonal Grid Generation with
Boundary Point Distribution Control . . 440--453
Knut Akselvoll and
Parviz Moin An Efficient Method for Temporal
Integration of the Navier--Stokes
Equations in Confined Axisymmetric
Geometries . . . . . . . . . . . . . . . 454--463
M. Elghaoui and
R. Pasquetti A Spectral Embedding Method Applied to
the Advection-Diffusion Equation . . . . 464--476
Wolfgang Förner The Properties of the Iterative Solution
of the Inverse Dyson Equation for the
Calculation of Correlation Corrected
Band Structures of Polymers . . . . . . 477--487
Stanley Humphries, Jr. Numerical Modeling of
Space-Charge-Limited Charged-Particle
Emission on a Conformal Triangular Mesh 488--497
Oleg V. Vasilyev and
Samuel Paolucci A Dynamically Adaptive Multilevel
Wavelet Collocation Method for Solving
Partial Differential Equations in a
Finite Domain . . . . . . . . . . . . . 498--512
G. T. Birk and
A. Otto A Three-Dimensional Plasma-Neutral
Gas-Fluid Code . . . . . . . . . . . . . 513--525
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 526--527
Anonymous Author Index for Volume 125 . . . . . . 528--528
Rainald Löhner Regridding Surface Triangulations . . . 1--10
John P. Boyd Traps and Snares in Eigenvalue
Calculations with Application to
Pseudospectral Computations of Ocean
Tides in a Basin Bounded by Meridians 11--20
Alexandre Ern and
Vincent Giovangigli and
Mitchell D. Smooke Numerical Study of a Three-Dimensional
Chemical Vapor Deposition Reactor with
Detailed Chemistry . . . . . . . . . . . 21--39
Roland Glowinski and
T. W. Pan and
Raymond O. Wells, Jr. and
Xiaodong Zhou Wavelet and Finite Element Solutions for
the Neumann Problem Using Fictitious
Domains . . . . . . . . . . . . . . . . 40--51
Weizhu Bao and
Houde Han Nonlocal Artificial Boundary Conditions
for the Incompressible Viscous Flow in a
Channel Using Spectral Techniques . . . 52--63
S. McKee and
D. P. Wall and
S. K. Wilson An Alternating Direction Implicit Scheme
for Parabolic Equations with Mixed
Derivative and Convective Terms . . . . 64--76
A. A. Barmin and
A. G. Kulikovskiy and
N. V. Pogorelov Shock-Capturing Approach and
Nonevolutionary Solutions in
Magnetohydrodynamics . . . . . . . . . . 77--90
Xingzhi Ji On $2$D Bisection Method for Double
Eigenvalue Problems . . . . . . . . . . 91--98
Vincent D. Natoli and
Morrel H. Cohen and
Bengt Fornberg A New Numerical Algorithm for the
Analytic Continuation of Green's
Functions . . . . . . . . . . . . . . . 99--108
Daniel W. Swift Use of a Hybrid Code for Global-Scale
Plasma Simulation . . . . . . . . . . . 109--121
Weinan E. and
Jian-Guo Liu Essentially Compact Schemes for Unsteady
Viscous Incompressible Flows . . . . . . 122--138
A. Clément Coupling of Two Absorbing Boundary
Conditions for $2$D Time-Domain
Simulations of Free Surface Gravity
Waves . . . . . . . . . . . . . . . . . 139--151
Boris D. Lubachevsky and
Vladimir Privman and
Subhas C. Roy Casting Pearls Ballistically: Efficient
Massively Parallel Simulation of
Particle Deposition . . . . . . . . . . 152--164
David A. Fulk and
Dennis W. Quinn An Analysis of $1$-D Smoothed Particle
Hydrodynamics Kernels . . . . . . . . . 165--180
K. Bana\'s and
L. Demkowicz Entropy Controlled Adaptive Finite
Element Simulations for Compressible Gas
Flow . . . . . . . . . . . . . . . . . . 181--201
Guang-Shan Jiang and
Chi-Wang Shu Efficient Implementation of Weighted ENO
Schemes . . . . . . . . . . . . . . . . 202--228
I. E. Lagaris and
D. G. Papageorgiou and
M. Braun and
S. A. Sofianos A Relaxation Method for Nonlocal and
Non-Hermitian Operators . . . . . . . . 229--236
Arje Nachman A Brief Perspective on Computational
Electromagnetics . . . . . . . . . . . . 237--239
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 240--241
J. U. Brackbill Editorial . . . . . . . . . . . . . . . v--v
J. C. Jimenez and
R. Biscay and
E. Aubet Parametric Representation of Anatomical
Structures of the Human Body by Means of
Trigonometric Interpolating Sums . . . . 243--250
Ross J. Murray Explicit Generation of Orthogonal Grids
for Ocean Models . . . . . . . . . . . . 251--273
Christophe G. Lambert and
Thomas A. Darden and
John A. Board, Jr. A multipole-based algorithm for
efficient calculation of forces and
potentials in macroscopic periodic
assemblies of particles . . . . . . . . 274--285
J. S. Marshall and
J. R. Grant A Method for Determining the Velocity
Induced by Highly Anisotropic Vorticity
Blobs . . . . . . . . . . . . . . . . . 286--298
M. J. Ablowitz and
B. M. Herbst and
Constance Schober On the Numerical Solution of the
Sine--Gordon Equation: I. Integrable
Discretizations and Homoclinic Manifolds 299--314
M. Braun and
S. A. Sofianos and
D. G. Papageorgiou and
I. E. Lagaris An Efficient Chebyshev--Lanczos Method
for Obtaining Eigensolutions of the
Schrödinger Equation on a Grid . . . . . 315--327
Stefan Dietrich and
Iain D. Boyd Scalar and Parallel Optimized
Implementation of the Direct Simulation
Monte Carlo Method . . . . . . . . . . . 328--342
X. L. Li and
B. X. Jin and
J. Glimm Numerical Study for the
Three-Dimensional Rayleigh--Taylor
Instability through the TVD/AC Scheme
and Parallel Computation . . . . . . . . 343--355
Michael G. Edwards Elimination of Adaptive Grid Interface
Errors in the Discrete Cell Centered
Pressure Equation . . . . . . . . . . . 356--372
Shi Jin and
Jian-Guo Liu The Effects of Numerical Viscosities: I.
Slowly Moving Shocks . . . . . . . . . . 373--389
Tariq D. Aslam and
John B. Bdzil and
D. Scott Stewart Level Set Methods Applied to Modeling
Detonation Shock Dynamics . . . . . . . 390--409
D. Lesnic and
L. Elliott and
D. B. Ingham Identification of the Thermal
Conductivity and Heat Capacity in
Unsteady Nonlinear Heat Conduction
Problems Using the Boundary Element
Method . . . . . . . . . . . . . . . . . 410--420
J.-Y. Trépanier and
M. Paraschivoiu and
M. Reggio and
R. Camarero A Conservative Shock Fitting Method on
Unstructured Grids . . . . . . . . . . . 421--433
Gang Chen and
Iain D. Boyd Statistical Error Analysis for the
Direct Simulation Monte Carlo Technique 434--448
Shi Jin and
C. David Levermore Numerical Schemes for Hyperbolic
Conservation Laws with Stiff Relaxation
Terms . . . . . . . . . . . . . . . . . 449--467
Huaxiong Huang and
Brian R. Wetton Discrete Compatibility in Finite
Difference Methods for Viscous
Incompressible Fluid Flow . . . . . . . 468--478
Anonymous Abstracts of Papers to Appear in Future 479--479
Anonymous Author Index for Volume 126 . . . . . . 480--480
J. U. Brackbill Editorial . . . . . . . . . . . . . . . 1--1
I. Aavatsmark and
T. Barkve and
Ò. Bòe and
T. Mannseth Discretization on Non-Orthogonal,
Quadrilateral Grids for Inhomogeneous,
Anisotropic Media . . . . . . . . . . . 2--14
Eduard Harabetian and
Stanley Osher and
Chi-Wang Shu An Eulerian Approach for Vortex Motion
Using a Level Set Regularization
Procedure . . . . . . . . . . . . . . . 15--26
N. A. Adams and
K. Shariff A High-Resolution Hybrid Compact-ENO
Scheme for Shock-Turbulence Interaction
Problems . . . . . . . . . . . . . . . . 27--51
Marcus J. Grote and
Joseph B. Keller Nonreflecting Boundary Conditions for
Time-Dependent Scattering . . . . . . . 52--65
Z.-M. Yin New Methods for Simulation of Fractional
Brownian Motion . . . . . . . . . . . . 66--72
Zhong-hua Yang and
Rui-song Ye Symmetry-Breaking and Bifurcation Study
on the Laminar Flows through Curved
Pipes with a Circular Cross Section . . 73--87
S. Shankar and
L. van Dommelen A New Diffusion Procedure for Vortex
Methods . . . . . . . . . . . . . . . . 88--109
Shun-Lien Wang and
Robert F. Sekerka Algorithms for Phase Field Computation
of the Dendritic Operating State at
Large Supercoolings . . . . . . . . . . 110--117
F. Douglas Swesty Thermodynamically Consistent
Interpolation for Equation of State
Tables . . . . . . . . . . . . . . . . . 118--127
B. Straughan and
D. W. Walker Two Very Accurate and Efficient Methods
for Computing Eigenvalues and
Eigenfunctions in Porous Convection
Problems . . . . . . . . . . . . . . . . 128--141
Johan Helsing Thin Bridges in Isotropic Electrostatics 142--151
Pu Sun A Pseudo-Non-Time-Splitting Method in
Air Quality Modeling . . . . . . . . . . 152--157
Michael L. Minion A Projection Method for Locally Refined
Grids . . . . . . . . . . . . . . . . . 158--178
Hong-Kai Zhao and
T. Chan and
B. Merriman and
S. Osher A Variational Level Set Approach to
Multiphase Motion . . . . . . . . . . . 179--195
Audrius B. Stundzia and
Charles J. Lumsden Stochastic Simulation of Coupled
Reaction-Diffusion Processes . . . . . . 196--207
P. Giannattasio and
M. Napolitano Optimal Vorticity Conditions for the
Node-Centred Finite-Difference
Discretization of the Second-Order
Vorticity-Velocity Equations . . . . . . 208--217
Stephen A. Jordan and
Saad A. Ragab An Efficient Fractional-Step Technique
for Unsteady Incompressible Flows Using
a Semi-staggered Grid Strategy . . . . . 218--225
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 226--226
Jean-François Bourgat and
Patrick Le Tallec and
Moulay Tidriri Coupling Boltzmann and Navier--Stokes
Equations by Friction . . . . . . . . . 227--245
Jingyi Zhu and
Xinfu Chen and
Thomas Y. Hou An Efficient Boundary Integral Method
for the Mullins--Sekerka Problem . . . . 246--267
G. G. M. Coppa and
G. Lapenta and
G. Dellapiana and
F. Donato and
V. Riccardo Blob Method for Kinetic Plasma
Simulation with Variable-Size Particles 268--284
Yu-lin Xu Calculation of the Addition Coefficients
in Electromagnetic
Multisphere-Scattering Theory . . . . . 285--298
G.-H. Cottet Artificial Viscosity Models for Vortex
and Particle Methods . . . . . . . . . . 299--308
Roger Temam Multilevel Methods for the Simulation of
Turbulence: a Simple Model . . . . . . . 309--315
Piotr Holnicki A Piecewise-Quintic Interpolation Scheme 316--329
M. C. Liang and
C. W. Lan A Finite-Volume/Newton Method for a
Two-Phase Heat Flow Problem Using
Primitive Variables and Collocated Grids 330--345
D. L. Darmofal and
P. J. Schmid The Importance of Eigenvectors for Local
Preconditioners of the Euler Equations 346--362
Jean-Pierre Berenger Three-Dimensional Perfectly Matched
Layer for the Absorption of
Electromagnetic Waves . . . . . . . . . 363--379
V. Venkatakrishnan and
D. J. Mavriplis Implicit Method for the Computation of
Unsteady Flows on Unstructured Grids . . 380--397
Y. Tahara and
F. Stern A Large-Domain Approach for Calculating
Ship Boundary Layers and Wakes and Wave
Fields for Nonzero Froude Number . . . . 398--411
A. G. Kravchenko and
P. Moin and
R. Moser Zonal Embedded Grids for Numerical
Simulations of Wall-Bounded Turbulent
Flows . . . . . . . . . . . . . . . . . 412--423
Aniruddha S. Worlikar and
Omar M. Knio Numerical Simulation of a Thermoacoustic
Refrigerator: I. Unsteady Adiabatic Flow
around the Stack . . . . . . . . . . . . 424--451
Ramakanth Munipalli and
Dale A. Anderson An Adaptive Grid Scheme Using the
Boundary Element Method . . . . . . . . 452--463
J. A. Masad Analysis and Computation of Extremum
Points with Application to
Boundary-Layer Stability . . . . . . . . 464--472
T. H. Watanabe and
Y. Todo and
R. Horiuchi and
K. Watanabe and
T. Sato Implementation of an Electrostatic
Implicit Particle Simulation Scheme . . 473--481
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 482--483
Anonymous Author Index for Volume 127 . . . . . . 484--484
Vasilios G. Koures Solving the Coulomb Schrödinger Equation
in $ d = 2 + 1 $ via Sinc Collocation 1--5
Robie I. Samanta Roy and
Daniel E. Hastings and
Steven Taylor Three-Dimensional Plasma
Particle-in-Cell Calculations of Ion
Thruster Backflow Contamination . . . . 6--18
Xiaolin Zhong Additive Semi-Implicit Runge--Kutta
Methods for Computing High-Speed
Nonequilibrium Reactive Flows . . . . . 19--31
W. Roger Briley and
Shyam S. Neerarambam and
David L. Whitfield Implicit
Lower-Upper/Approximate-Factorization
Schemes for Incompressible Flows . . . . 32--42
Y. Nakamura and
T. Matsumoto and
M. Wakatani and
S. A. Galkin and
V. V. Drozdov and
A. A. Martynov and
Yu. Yu. Poshekhonov and
K. Ichiguchi and
L. Garcia and
B. A. Carreras and
C. Nührenberg (née Schwab) and
W. A. Cooper and
J. L. Johnson Comparison of the Calculations of the
Stability Properties of a Specific
Stellarator Equilibrium with Different
MHD Stability Codes . . . . . . . . . . 43--57
G. R. Stuhne and
W. R. Peltier Vortex Erosion and Amalgamation in a New
Model of Large Scale Flow on the Sphere 58--81
Gábor Tóth and
Dusan Odstrcil Comparison of Some Flux Corrected
Transport and Total Variation
Diminishing Numerical Schemes for
Hydrodynamic and Magnetohydrodynamic
Problems . . . . . . . . . . . . . . . . 82--100
Christoph Schär and
Piotr K. Smolarkiewicz A Synchronous and Iterative
Flux-Correction Formalism for Coupled
Transport Equations . . . . . . . . . . 101--120
Paolo Luchini and
Renato Tognaccini Direction-Adaptive Nonreflecting
Boundary Conditions . . . . . . . . . . 121--133
Gregory Hale Miller and
Elbridge Gerry Puckett A High-Order Godunov Method for Multiple
Condensed Phases . . . . . . . . . . . . 134--164
S. M. Ould Kaber A Legendre Pseudospectral Viscosity
Method . . . . . . . . . . . . . . . . . 165--180
Wenlong Dai and
Paul R. Woodward A Second-Order Iterative
Implicit-Explicit Hybrid Scheme for
Hyperbolic Systems of Conservation Laws 181--196
D. R. Kegley, Jr. and
V. E. Oberacker and
M. R. Strayer and
A. S. Umar and
J. C. Wells Basis Spline Collocation Method for
Solving the Schrödinger Equation in
Axillary Symmetric Systems . . . . . . . 197--208
W. X. Wang and
M. Okamoto and
N. Nakajima and
S. Murakami Vector Implementation of Nonlinear Monte
Carlo Coulomb Collisions . . . . . . . . 209--222
A. T. Degani and
G. C. Fox Parallel Multigrid Computation of the
Unsteady Incompressible Navier--Stokes
Equations . . . . . . . . . . . . . . . 223--236
Vinh T. Ton Improved Shock-Capturing Methods for
Multicomponent and Reacting Flows . . . 237--253
Kurt Liffman Comments on a Collocation Spectral
Solver for the Helmholtz Equation . . . 254--258
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 259--259
D. A. Goussis On the Construction and Use of Reduced
Chemical Kinetic Mechanisms Produced on
the Basis of Given Algebraic Relations 261--273
P. Saucez and
A. Vande Wouwer and
W. E. Schiesser Some Observations on a Static Spatial
Remeshing Method Based on
Equidistribution Principles . . . . . . 274--288
Feng Liu and
Xiaoqing Zheng A Strongly Coupled Time-Marching Method
for Solving the Navier--Stokes and
$k$--$ \omega $ Turbulence Model
Equations with Multigrid . . . . . . . . 289--300
H. S. Tang and
D. Huang A Second-Order Accurate Capturing Scheme
for $1$D Inviscid Flows of Gas and Water
with Vacuum Zones . . . . . . . . . . . 301--318
L. S. Hou and
S. S. Ravindran Computations of Boundary Optimal Control
Problems for an Electrically Conducting
Fluid . . . . . . . . . . . . . . . . . 319--330
Hughan J. Ross and
Luke F. McAven and
Kiminari Shinagawa and
Philip H. Butler Calculating Spin-Orbit Matrix Elements
with \sc RACAH . . . . . . . . . . . . . 331--340
Rogério Martins Saldanha da Gama Numerical Simulation of the (Nonlinear)
Conduction/Radiation Heat Transfer
Process in a Nonconvex and Black
Cylindrical Body . . . . . . . . . . . . 341--350
Sergej Rjasanow and
Wolfgang Wagner Numerical Study of a Stochastic Weighted
Particle Method for a Model Kinetic
Equation . . . . . . . . . . . . . . . . 351--362
F. Assous and
P. Degond and
J. Segré Numerical Approximation of the Maxwell
Equations in Inhomogeneous Media by a $
P^1 $ Conforming Finite Element Method 363--380
J. S. Shang Time-Domain Electromagnetic Scattering
Simulations on Multicomputers . . . . . 381--390
W. Kyle Anderson and
Russ D. Rausch and
Daryl L. Bonhaus Implicit/Multigrid Algorithms for
Incompressible Turbulent Flows on
Unstructured Grids . . . . . . . . . . . 391--408
N. Anders Petersson Fast Numerical Computation of $2$D Free
Surface Jet Flow with Surface Tension 409--426
Murali Beddhu and
Lafayette K. Taylor and
David L. Whitfield Strong Conservative Form of the
Incompressible Navier--Stokes Equations
in a Rotating Frame with a Solution
Procedure . . . . . . . . . . . . . . . 427--437
Stanley Humphries, Jr. Finite-Element Models for Planar Hall
Probes of Arbitrary Shape and
Composition . . . . . . . . . . . . . . 438--444
J. E. Morel and
Todd A. Wareing and
Kenneth Smith A Linear-Discontinuous Spatial
Differencing Scheme for $ S_n $
Radiative Transfer Calculations . . . . 445--462
Jean-David Benamou Big Ray Tracing: Multivalued Travel Time
Field Computation Using Viscosity
Solutions of the Eikonal Equation . . . 463--474
David A. Kopriva A Conservative Staggered-Grid Chebyshev
Multidomain Method for Compressible
Flows. II. A Semi-Structured Method . . 475--488
Michael A. Mostrom and
Dushan Mitrovich and
Dale R. Welch The ARCTIC Charged Particle Beam
Propagation Code . . . . . . . . . . . . 489--497
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 498--499
Anonymous Author Index for Volume 128 . . . . . . 500--500
Andrew W. Gill and
G. E. Sneddon Pseudospectral Methods and Composite
Complex Maps for Near-Boundary Critical
Points . . . . . . . . . . . . . . . . . 1--7
Alexander Lifschitz and
W. Henry Suters and
J. Thomas Beale The Onset of Instability in Exact Vortex
Rings with Swirl . . . . . . . . . . . . 8--29
Arturo Serna Implementation of Hierarchical
Clustering Methods . . . . . . . . . . . 30--40
Henrik O. Nordmark Deterministic High Order Vortex Methods
for the $2$D Navier--Stokes Equation
with Rezoning . . . . . . . . . . . . . 41--56
Robert Dillon and
Lisa Fauci and
Aaron Fogelson and
Donald Gaver III Modeling Biofilm Processes Using the
Immersed Boundary Method . . . . . . . . 57--73
Mark H. Carpenter and
David Gottlieb Spectral Methods on Arbitrary Grids . . 74--86
Shay Gueron and
David Shalloway Spatial Interpolation Methods for
Integrating Newton's Equation . . . . . 87--100
A. Sandu and
F. A. Potra and
G. R. Carmichael and
V. Damian Efficient Implementation of Fully
Implicit Methods for Atmospheric
Chemical Kinetics . . . . . . . . . . . 101--110
A. S. Deakin and
H. Rasmussen Sparse Boundary Conditions on Artificial
Boundaries for Three-Dimensional
Potential Problems . . . . . . . . . . . 111--120
James Paul Holloway On Numerical Methods for Hamiltonian
PDEs and a Collocation Method for the
Vlasov--Maxwell Equations . . . . . . . 121--133
Yao-Hsin Hwang Higher-Order Exponential Difference
Schemes for the Computations of the
Steady Convection-Diffusion Equation . . 134--159
J. Candy A Numerical Method for Solution of the
Generalized Liouville Equation . . . . . 160--169
Nelson M. Kuhl Monte Carlo Simulation of Transport . . 170--180
Ben-Yu Guo and
I. Martín and
Victor M. Pérez-García and
Luis Vázquez Numerical Solutions of the
Maxwell--Bloch Laser Equations . . . . . 181--189
Leonid Prigozhin The Bean Model in Superconductivity:
Variational Formulation and Numerical
Solution . . . . . . . . . . . . . . . . 190--200
Fang Q. Hu On Absorbing Boundary Conditions for
Linearized Euler Equations by a
Perfectly Matched Layer . . . . . . . . 201--219
M. R. M. Witwit Application of the Inner Product
Technique to Some Nonpolynomial
Potentials for Multidimensional Quantum
Systems . . . . . . . . . . . . . . . . 220--232
A. C. Lewandowski and
T. M. Wilson A Technique for Embedding Clusters in
Ionic Crystals Using the GAUSSIAN 92
Quantum Chemical Program . . . . . . . . 233--242
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 243--244
Margot Gerritsen and
Pelle Olsson Designing an Efficient Solution Strategy
for Fluid Flows: 1. A Stable High Order
Finite Difference Scheme and Sharp Shock
Resolution for the Euler Equations . . . 245--262
Andrew W. Cook and
James J. Riley Direct Numerical Simulation of a
Turbulent Reactive Plume on a Parallel
Computer . . . . . . . . . . . . . . . . 263--283
David E. Stevens and
Christopher S. Bretherton A Forward-in-Time Advection Scheme and
Adaptive Multilevel Flow Solver for
Nearly Incompressible Atmospheric Flow 284--295
Bjorn Engquist and
Erding Luo New Coarse Grid Operators for Highly
Oscillatory Coefficient Elliptic
Problems . . . . . . . . . . . . . . . . 296--306
Laura L. Sherman and
Arthur C. Taylor III and
Larry L. Green and
Perry A. Newman and
Gene W. Hou and
Vamshi Mohan Korivi First- and Second-Order Aerodynamic
Sensitivity Derivatives via Automatic
Differentiation with Incremental
Iterative Methods . . . . . . . . . . . 307--331
P. C. A. De Haas and
P. J. Zandbergen The Application of Domain Decomposition
to Time-Domain Computations of Nonlinear
Water Waves with a Panel Method . . . . 332--344
C. M. Casciola and
R. Piva and
P. Bassanini Vorticity Generation on a Flat Surface
in $3$D Flows . . . . . . . . . . . . . 345--356
Xiaoyi He and
Li-Shi Luo and
Micah Dembo Some Progress in Lattice Boltzmann
Method. Part I. Nonuniform Mesh Grids 357--363
Meng-Sing Liou A Sequel to AUSM: AUSM$^+$ . . . . . . . 364--382
Mikhail Shashkov and
Stanly Steinberg Solving Diffusion Equations with Rough
Coefficients in Rough Grids . . . . . . 383--405
E. Yakimiw Accurate Computation of Weights in
Classical Gauss--Christoffel Quadrature
Rules . . . . . . . . . . . . . . . . . 406--430
Anonymous Acknowledgment . . . . . . . . . . . . . 431--434
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 435--435
Anonymous Author Index for Volume 129 . . . . . . 436--436
Anonymous Cumulative Author--Title Index
1991--1996 . . . . . . . . . . . . . . . 437--460
S. J. Billett and
E. F. Toro On WAF-Type Schemes for Multidimensional
Hyperbolic Conservation Laws . . . . . . 1--24
Mohit Arora and
Philip L. Roe On Postshock Oscillations Due to Shock
Capturing Schemes in Unsteady Flows . . 25--40
C. W. Oosterlee A GMRES-Based Plane Smoother in
Multigrid to Solve $3$D Anisotropic
Fluid Flow Problems . . . . . . . . . . 41--53
Matthew R. Gibbons and
Dennis W. Hewett Characterization of the Darwin Direct
Implicit Particle-in-Cell Method and
Resulting Guidelines for Operation . . . 54--66
Weinan E. and
Jian-Guo Liu Finite Difference Schemes for
Incompressible Flows in the
Velocity-Impulse Density Formulation . . 67--76
Xiaogang Deng and
Hiroshi Maekawa Compact High-Order Accurate Nonlinear
Schemes . . . . . . . . . . . . . . . . 77--91
Mark Taylor and
Joseph Tribbia and
Mohamed Iskandarani The Spectral Element Method for the
Shallow Water Equations on the Sphere 92--108
H. Y. Xu and
M. D. Matovic and
A. Pollard Finite Difference Schemes for
Three-dimensional Time-dependent
Convection-Diffusion Equation Using Full
Global Discretization . . . . . . . . . 109--122
T. E. Simos and
Ch. Tsitouras A $P$-Stable Eighth-Order Method for the
Numerical Integration of Periodic
Initial-Value Problems . . . . . . . . . 123--128
Gary G. Hoffman An Integral for Second-Order Multiple
Scattering Perturbation Theory . . . . . 129--135
Xudong T. Wu and
Edward F. Hayes Algorithms for Obtaining Cumulative
Reaction Probabilities for Chemical
Reactions . . . . . . . . . . . . . . . 136--147
Hirohiko Kono and
Akihisa Kita and
Yukiyoshi Ohtsuki and
Yuichi Fujimura An Efficient Quantum Mechanical Method
for the Electronic Dynamics of the
Three-Dimensional Hydrogen Atom
Interacting with a Linearly Polarized
Strong Laser Pulse . . . . . . . . . . . 148--159
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 160--160
K. S. Ravichandran Higher Order KFVS Algorithms Using
Compact Upwind Difference Operators . . 161--173
Jochen Fröhlich and
Kai Schneider An Adaptive Wavelet-Vaguelette Algorithm
for the Solution of PDEs . . . . . . . . 174--190
C. H. Tai and
D. C. Chiang and
Y. P. Su Explicit Time Marching Methods for the
Time-Dependent Euler Computations . . . 191--202
M. P. Dainton and
M. H. Goldwater and
N. K. Nichols Direct Computation of Stochastic Flow in
Reservoirs with Uncertain Parameters . . 203--216
S. Y. Chou and
D. Baganoff Kinetic Flux-Vector Splitting for the
Navier--Stokes Equations . . . . . . . . 217--230
Ogden S. Jones and
Uri Shumlak and
D. Scott Eberhardt An Implicit Scheme for Nonideal
Magnetohydrodynamics . . . . . . . . . . 231--242
Alexandre I. Fedoseyev and
J. Iwan D. Alexander An Inverse Finite Element Method for
Pure and Binary Solidification Problems 243--255
M. Fabbri and
V. R. Voller The Phase-Field Method in the
Sharp-Interface Limit: a Comparison
between Model Potentials . . . . . . . . 256--265
Patrick L. Nash and
L. Y. Chen Efficient Finite Difference Solutions to
the Time-Dependent Schrödinger Equation 266--268
Elbridge Gerry Puckett and
Ann S. Almgren and
John B. Bell and
Daniel L. Marcus and
William J. Rider A High-Order Projection Method for
Tracking Fluid Interfaces in Variable
Density Incompressible Flows . . . . . . 269--282
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 283--283
Anonymous Author Index for Volume 130 . . . . . . 284--284
Chi-Wang Shu Preface to the Republication of
``Uniformly High Order Essentially
Non-oscillatory Schemes, III,'' by
Harten, Engquist, Osher, and
Chakravarthy . . . . . . . . . . . . . . 1--2
Ami Harten and
Bjorn Engquist and
Stanley Osher and
Sukumar R. Chakravarthy Uniformly High Order Accurate
Essentially Non-oscillatory Schemes, III 3--47
Zhiqiang Tan and
Dennis Wilson and
Philip L. Varghese The Mass-Damped Riemann Problem and the
Aerodynamic Surface Force Calculation
for an Accelerating Body . . . . . . . . 48--53
F. Xabier Garaizar and
John Trangenstein Front Tracking for Shear Bands in an
Antiplane Shear Model . . . . . . . . . 54--69
B. Ramaswamy and
S. Krishnamoorthy and
S. W. Joo Three-Dimensional Simulation of
Instabilities and Rivulet Formation in
Heated Falling Films . . . . . . . . . . 70--88
François Renaud and
Serge Gauthier A Dynamical Pseudo-Spectral Domain
Decomposition Technique: Application to
Viscous Compressible Flows . . . . . . . 89--108
H.-J. Jou and
P. H. Leo and
J. S. Lowengrub Microstructural Evolution in
Inhomogeneous Elastic Media . . . . . . 109--148
Vahid Vahedi and
G. DiPeso Simultaneous Potential and Circuit
Solution for Two-Dimensional Bounded
Plasma Simulation Codes . . . . . . . . 149--163
Francis Collino Perfectly Matched Absorbing Layers for
the Paraxial Equations . . . . . . . . . 164--180
F. Amdjadi and
P. J. Aston and
P. Plechác Symmetry Breaking Hopf Bifurcations in
Equations with O(2) Symmetry with
Application to the Kuramoto--Sivashinsky
Equation . . . . . . . . . . . . . . . . 181--192
Akiko Suzuki and
Tomonori Takizuka and
Katsuhiro Shimizu and
Nobuhiko Hayashi and
Akiyoshi Hatayama and
Masatada Ogasawara An Implicit Monte Carlo Method for
Simulation of Impurity Transport in
Divertor Plasma . . . . . . . . . . . . 193--198
Rudolf Wegmann An Upwind Difference Scheme for the
Double-Adiabatic Equations . . . . . . . 199--215
H. C. Yee Explicit and Implicit Multidimensional
Compact High-Resolution Shock-Capturing
Methods: Formulation . . . . . . . . . . 216--232
Bernd G. Pfrommer and
Michel Côté and
Steven G. Louie and
Marvin L. Cohen Relaxation of Crystals with the
Quasi-Newton Method . . . . . . . . . . 233--240
Takashi Abe Derivation of the Lattice Boltzmann
Method by Means of the Discrete Ordinate
Method for the Boltzmann Equation . . . 241--246
S. J. Billet and
E. F. Toro On the Accuracy and Stability of
Explicit Schemes for Multidimensional
Linear Homogeneous Advection Equations 247--250
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 251--251
Mutsuto Kawahara and
Yan Ding Bifurcation Analysis of Brown Tide by
Reaction-Diffusion Equation Using Finite
Element Method . . . . . . . . . . . . . 253--266
F. Bassi and
S. Rebay A High-Order Accurate Discontinuous
Finite Element Method for the Numerical
Solution of the Compressible
Navier--Stokes Equations . . . . . . . . 267--279
L. S. Mulholland and
Y. Qiu and
D. M. Sloan Solution of Evolutionary Partial
Differential Equations Using Adaptive
Finite Differences with Pseudospectral
Post-processing . . . . . . . . . . . . 280--298
Jianwei Zhou and
Nader Saffari Numerical Modelling of Wave Propagation
in Elastic Rectangular Block Media . . . 299--309
A. G. Kravchenko and
P. Moin On the Effect of Numerical Errors in
Large Eddy Simulations of Turbulent
Flows . . . . . . . . . . . . . . . . . 310--322
Ivar Christopher and
George Knorr and
Magdi Shoucri and
Pierre Bertrand Solution of the Poisson Equation in an
Annulus . . . . . . . . . . . . . . . . 323--326
Randall J. LeVeque Wave Propagation Algorithms for
Multidimensional Hyperbolic Systems . . 327--353
M. J. Ablowitz and
B. M. Herbst and
C. M. Schober On the Numerical Solution of the
Sine--Gordon Equation . . . . . . . . . 354--367
Shengtai Li and
Linda Petzold Moving Mesh Methods with Upwinding
Schemes for Time-Dependent PDEs . . . . 368--377
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 378--378
Anonymous Author Index for Volume 131 . . . . . . 379--379
Bram van Leer Godunov's Method for Gas-Dynamics:
Current Applications and Future
Developments . . . . . . . . . . . . . . 1--2
Mohit Arora and
Philip L. Roe A Well-Behaved TVD Limiter for
High-Resolution Calculations of Unsteady
Flow . . . . . . . . . . . . . . . . . . 3--11
J.-L. Guermond and
L. Quartapelle Calculation of Incompressible Viscous
Flows by an Unconditionally Stable
Projection FEM . . . . . . . . . . . . . 12--33
G. Labonia and
F. Stella and
E. Leonardi and
G. Guj A Numerical Study of the Effect of Free
Surface Deformation on Buoyancy and
Thermocapillary Convection . . . . . . . 34--50
M. D. Tidriri Preconditioning Techniques for the
Newton--Krylov Solution of Compressible
Flows . . . . . . . . . . . . . . . . . 51--61
Vladimir Karlin Numerical Algorithms for Flows in the
Nodes of $2$D Models of Pipe Networks 62--77
F. Vadillo On Spurious Fixed Points of Runge--Kutta
Methods . . . . . . . . . . . . . . . . 78--90
P. Jenny and
B. Müller and
H. Thomann Correction of Conservative Euler Solvers
for Gas Mixtures . . . . . . . . . . . . 91--107
John Strain Fast Adaptive $2$D Vortex Methods . . . 108--122
Murli M. Gupta and
Jules Kouatchou and
Jun Zhang A Compact Multigrid Solver for
Convection-Diffusion Equations . . . . . 123--129
James Hyman and
Mikhail Shashkov and
Stanly Steinberg The Numerical Solution of Diffusion
Problems in Strongly Heterogeneous
Non-isotropic Materials . . . . . . . . 130--148
J. Russell Manson and
Steve G. Wallis Accuracy Characteristics of Traditional
Finite Volume Discretizations for
Unsteady Computational Fluid Dynamics 149--153
Pierre Hillion Beware of Maxwell's Divergence Equations 154--155
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 156--156
Alejandro Allievi and
Rodolfo Bermejo A Generalized Particle Search-Locate
Algorithm for Arbitrary Grids . . . . . 157--166
Dong-o Jeon Compact Finite Difference Method for
Calculating Magnetic Field Components of
Cyclotrons . . . . . . . . . . . . . . . 167--174
Ronald P. Fedkiw and
Barry Merriman and
Stanley Osher High Accuracy Numerical Methods for
Thermally Perfect Gas Flows with
Chemistry . . . . . . . . . . . . . . . 175--190
P. A. M. Boomkamp and
B. J. Boersma and
R. H. M. Miesen and
G. V. Beijnon A Chebyshev Collocation Method for
Solving Two-Phase Flow Stability
Problems . . . . . . . . . . . . . . . . 191--200
M. B. Giles Stability Analysis of a
Galerkin/Runge--Kutta Navier--Stokes
Discretisation on Unstructured
Tetrahedral Grids . . . . . . . . . . . 201--214
R. A. Fusina and
A. L. Cooper and
S. R. Chubb High Resolution Computations of Ocean
Wave Spectral Modulations due to
Two-Dimensional Wave-Current
Interactions . . . . . . . . . . . . . . 215--225
Murli M. Gupta and
Jules Kouatchou and
Jun Zhang Comparison of Second- and Fourth-Order
Discretizations for Multigrid Poisson
Solvers . . . . . . . . . . . . . . . . 226--232
Gregory Beylkin and
James M. Keiser On the Adaptive Numerical Solution of
Nonlinear Partial Differential Equations
in Wavelet Bases . . . . . . . . . . . . 233--259
Arieh L. Edelstein and
Noam Agmon Brownian Simulation of Many-Particle
Binding to a Reversible Receptor Array 260--275
Sujay Datta and
Deshdeep Sahdev Fast Algorithms for Triangular Josephson
Junction Arrays . . . . . . . . . . . . 276--284
A. Wirth An Extension of Spectral Methods to
Quasi-Periodic and Multiscale Problems 285--290
S. S. Khirwadkar and
P. S. Pathak and
S. Chaturvedi and
P. I. John 2-D Guiding Centre Simulation of
Toroidal Electron Clouds . . . . . . . . 291--298
Xiaojun Zhu and
Guangtsai Lei and
Guangwen Pan On Application of Fast and Adaptive
Periodic Battle--Lemarie Wavelets to
Modeling of Multiple Lossy Transmission
Lines . . . . . . . . . . . . . . . . . 299--311
M. J. Werner and
P. D. Drummond Robust Algorithms for Solving Stochastic
Partial Differential Equations . . . . . 312--326
Ravi Samtaney Computational Methods for Self-similar
Solutions of the Compressible Euler
Equations . . . . . . . . . . . . . . . 327--345
Adrian V. Coward and
Yuriko Y. Renardy and
Michael Renardy and
John R. Richards Temporal Evolution of Periodic
Disturbances in Two-Layer Couette Flow 346--361
Zhangxin Chen and
Richard E. Ewing Comparison of Various Formulations of
Three-Phase Flow in Porous Media . . . . 362--373
X. Chen and
Y. M. Chen Efficient Algorithm for Solving Inverse
Source Problems of a Nonlinear Diffusion
Equation in Microwave Heating . . . . . 374--383
Frank W. Elliott, Jr. and
David J. Horntrop and
Andrew J. Majda A Fourier-Wavelet Monte Carlo Method for
Fractal Random Fields . . . . . . . . . 384--408
Alicia Serfaty de Markus Chaotic Algorithms: a Numerical
Exploration of the Dynamics of a Stiff
Photoconductor Model . . . . . . . . . . 409--411
Anonymous Erratum: ``A Forward-in-Time Advection
Scheme and Adaptive Multilevel Flow
Solver for Nearly Incompressible
Atmospheric Flow'' . . . . . . . . . . . 412--413
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 414--415
Anonymous Author Index for Volume 132 . . . . . . 416--416
F. H. Read Improved Extrapolation Technique in the
Boundary Element Method to Find the
Capacitances of the Unit Square and Cube 1--5
Carl F. Ollivier-Gooch Quasi-ENO Schemes for Unstructured
Meshes Based on Unlimited Data-Dependent
Least-Squares Reconstruction . . . . . . 6--17
A. C. Skeldon and
K. A. Cliffe and
D. S. Riley Grid Design for the Computation of a
Hexagon-Roll Interaction Using a Finite
Element Method . . . . . . . . . . . . . 18--26
John A. Scales and
Erik S. Van Vleck Lyapunov Exponents and Localization in
Randomly Layered Media . . . . . . . . . 27--42
Necdet Aslan and
Terry Kammash Developing Numerical Fluxes with New
Sonic Fix for MHD Equations . . . . . . 43--55
Philip J. Morris and
Lyle N. Long and
Ashok Bangalore and
Qunzhen Wang A Parallel Three-Dimensional
Computational Aeroacoustics Method Using
Nonlinear Disturbance Equations . . . . 56--74
I. J. Hodgkinson and
S. Kassam and
Q. H. Wu Eigenequations and Compact Algorithms
for Bulk and Layered Anisotropic Optical
Media: Reflection and Refraction at a
Crystal-Crystal Interface . . . . . . . 75--83
Paul F. Fischer An Overlapping Schwarz Method for
Spectral Element Solution of the
Incompressible Navier--Stokes Equations 84--101
B. Neta and
F. X. Giraldo and
I. M. Navon Analysis of the Turkel--Zwas Scheme for
the Two-Dimensional Shallow Water
Equations in Spherical Coordinates . . . 102--112
Omar M. Ramahi Complementary Boundary Operators for
Wave Propagation Problems . . . . . . . 113--128
F. Sotiropoulos and
G. Constantinescu Pressure-Based Residual Smoothing
Operators for Multistage
Pseudocompressibility Algorithms . . . . 129--145
Yu. A. Omelchenko and
R. N. Sudan A $3$-D Darwin-EM Hybrid PIC Code for
Ion Ring Studies . . . . . . . . . . . . 146--159
Jason Frank and
Weizhang Huang and
Benedict Leimkuhler Geometric Integrators for Classical Spin
Systems . . . . . . . . . . . . . . . . 160--172
P. W. Rambo Numerical Heating in Hybrid Plasma
Simulations . . . . . . . . . . . . . . 173--180
Stefan Kreitmeier and
Markus Wittkop and
Hans L. Trautenberg and
Thomas Hölzl and
Dietmar Göritz Large-Scale Simulations on Polymer Melts 181--185
Costas D. Dimitropoulos and
Antony N. Beris An Efficient and Robust Spectral Solver
for Nonseparable Elliptic Equations . . 186--191
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 192--192
Jean-Marc Moschetta and
D. I. Pullin A Robust Low Diffusive Kinetic Scheme
for the Navier--Stokes/Euler Equations 193--204
Mauro Bertagnolli and
Maurizio Marchese and
Gianni Jacucci and
Ioannis St. Doltsinis and
Swen Noelting Thermomechanical Simulation of the
Splashing of Ceramic Droplets on a Rigid
Substrate . . . . . . . . . . . . . . . 205--221
P. W. C. Vosbeek and
R. M. M. Mattheij Contour Dynamics with Symplectic Time
Integration . . . . . . . . . . . . . . 222--234
Yuguo Li Wavenumber-Extended High-Order
Upwind-Biased Finite-Difference Schemes
for Convective Scalar Transport . . . . 235--255
K. Domelevo and
L. Sainsaulieu A Numerical Method for the Computation
of the Dispersion of a Cloud of
Particles by a Turbulent Gas Flow Field 256--278
Saul Abarbanel and
Adi Ditkowski Asymptotically Stable Fourth-Order
Accurate Schemes for the Diffusion
Equation on Complex Shapes . . . . . . . 279--288
Claudio Mattiussi An Analysis of Finite Volume, Finite
Element, and Finite Difference Methods
Using Some Concepts from Algebraic
Topology . . . . . . . . . . . . . . . . 289--309
C. Buet and
S. Cordier and
P. Degond and
M. Lemou Fast Algorithms for Numerical,
Conservative, and Entropy Approximations
of the Fokker--Planck--Landau Equation 310--322
Christoph Börgers A Fast Iterative Method for Computing
Particle Beams Penetrating Matter . . . 323--339
A. G. Ostrovskii and
L. I. Piterbarg A New Method for Obtaining Velocity and
Diffusivity from Time-Dependent
Distributions of a Tracer via the
Maximum Likelihood Estimator for the
Advection-Diffusion Equation . . . . . . 340--360
Irad Yavneh Analysis of a Fourth-Order Compact
Scheme for Convection-Diffusion . . . . 361--364
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 365--366
Anonymous Author Index for Volume 133 . . . . . . 367--367
Dexun Fu and
Yanwen Ma A High Order Accurate Difference Scheme
for Complex Flow Fields . . . . . . . . 1--15
Steven W. Smith and
Carol K. Hall and
Benny D. Freeman Molecular Dynamics for Polymeric Fluids
Using Discontinuous Potentials . . . . . 16--30
Miltiadis V. Papalexandris and
Anthony Leonard and
Paul E. Dimotakis Unsplit Schemes for Hyperbolic
Conservation Laws with Source Terms in
One Space Dimension . . . . . . . . . . 31--61
S. Taddei Finite Interpolation in Green Function
Deterministic Numerical Methods . . . . 62--74
Adrin Gharakhani and
Ahmed F. Ghoniem Three-Dimensional Vortex Simulation of
Time Dependent Incompressible Internal
Viscous Flows . . . . . . . . . . . . . 75--95
Frank Schmidt and
David Yevick Discrete Transparent Boundary Conditions
for Schrödinger-Type Equations . . . . . 96--107
P. L. Christiansen and
A. V. Savin and
A. V. Zolotaryuk Soliton Analysis in Complex Molecular
Systems: a Zig-Zag Chain . . . . . . . . 108--121
Kun Xu BGK-Based Scheme for Multicomponent Flow
Calculations . . . . . . . . . . . . . . 122--133
R. A. Gonzales and
J. Eisert and
I. Koltracht and
M. Neumann and
G. Rawitscher Integral Equation Method for the
Continuous Spectrum Radial Schrödinger
Equation . . . . . . . . . . . . . . . . 134--149
Walter C. Welton and
Stephen B. Pope PDF Model Calculations of Compressible
Turbulent Flows Using Smoothed Particle
Hydrodynamics . . . . . . . . . . . . . 150--168
Thomas Y. Hou and
Xiao-Hui Wu A Multiscale Finite Element Method for
Elliptic Problems in Composite Materials
and Porous Media . . . . . . . . . . . . 169--189
Holger Friedel and
Rainer Grauer and
Christiane Marliani Adaptive Mesh Refinement for Singular
Current Sheets in Incompressible
Magnetohydrodynamic Flows . . . . . . . 190--198
Bram van Leer Godunov's Method for Gas-Dynamics:
Current Applications and Future
Developments: Volume 132, Number 1
(1997), pages 1--2 . . . . . . . . . . . 199--199
Yu-lin Xu Calculation of the Addition Coefficients
in Electromagnetic
Multisphere-Scattering Theory: Volume
127, Number 2 (1996), pages 285--298 . . 200--200
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 201--201
Ricardo Gutfraind and
Stuart B. Savage Smoothed Particle Hydrodynamics for the
Simulation of Broken-Ice Fields:
Mohr--Coulomb-Type Rheology and
Frictional Boundary Conditions . . . . . 203--215
B. Yang and
D. Gottlieb and
J. S. Hesthaven Spectral Simulations of Electromagnetic
Wave Scattering . . . . . . . . . . . . 216--230
B. D. Keister and
W. N. Polyzou Useful Bases for Problems in Nuclear and
Particle Physics . . . . . . . . . . . . 231--235
Thomas Y. Hou and
Zhilin Li and
Stanley Osher and
Hongkai Zhao A Hybrid Method for Moving Interface
Problems with Application to the
Hele--Shaw Flow . . . . . . . . . . . . 236--252
Song Wang A Novel Exponentially Fitted Triangular
Finite Element Method for an
Advection-Diffusion Problem with
Boundary Layers . . . . . . . . . . . . 253--260
Wenlong Dai and
Paul R. Woodward A Second-Order Unsplit Godunov Scheme
for Two- and Three-Dimensional Euler
Equations . . . . . . . . . . . . . . . 261--281
Himanshu Pokharna and
Michitsugu Mori and
Victor H. Ransom Regularization of Two-Phase Flow Models:
a Comparison of Numerical and
Differential Approaches . . . . . . . . 282--295
E. Chow and
J. J. Monaghan Ultrarelativistic SPH . . . . . . . . . 296--305
Xiaoyi He and
Gary Doolen Lattice Boltzmann Method on Curvilinear
Coordinates System: Flow around a
Circular Cylinder . . . . . . . . . . . 306--315
William Kahan and
Ren-Chang Li Unconventional schemes for a class of
ordinary differential equations---with
applications to the Korteweg--de Vries
equation . . . . . . . . . . . . . . . . 316--331
Katsuhiro Sakai and
Gen Sheng Zhang A Numerical Scheme for Transport
Equations with Spatially Distributed
Coefficients Based on Locally Exact
Difference Method . . . . . . . . . . . 332--341
Seonghyeon Hahn and
Haecheon Choi Unsteady Simulation of Jets in a Cross
Flow . . . . . . . . . . . . . . . . . . 342--356
Saul Abarbanel and
David Gottlieb A Mathematical Analysis of the PML
Method . . . . . . . . . . . . . . . . . 357--363
Alexei D. Kotelnikov and
David C. Montgomery A Kinetic Method for Computing
Inhomogeneous Fluid Behavior . . . . . . 364--388
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 389--389
Anonymous Author Index for Volume 134 . . . . . . 390--390
B. G. M. van Wachem and
A. F. Bakker and
J. C. Schouten and
M. W. Heemels and
S. W. de Leeuw Simulation of Fluidized Beds with
Lattice Gas Cellular Automata . . . . . 1--7
S. Chen and
B. Merriman and
S. Osher and
P. Smereka A Simple Level Set Method for Solving
Stefan Problems . . . . . . . . . . . . 8--29
Robert L. Higdon and
Roland A. de Szoeke Barotropic-Baroclinic Time Splitting for
Ocean Circulation Modeling . . . . . . . 30--53
Robert Hallberg Stable Split Time Stepping Schemes for
Large-Scale Ocean Modeling . . . . . . . 54--65
Dmitriy Y. Anistratov and
Marvin L. Adams and
Edward W. Larsen Acceleration of the Nonlinear
Corner-Balance Scheme by the Averaged
Flux Method . . . . . . . . . . . . . . 66--75
A. Y. Rom Quasiparticles Density of States and the
Scattering Rate in Ideal Type II
Superconductor by a Time-Dependent
Approach . . . . . . . . . . . . . . . . 76--82
Eyal Arian On the Coupling of Aerodynamic and
Structural Design . . . . . . . . . . . 83--96
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 97--97
Phil Roe Preface . . . . . . . . . . . . . . . . 99--99
Berni J. Adler Introduction . . . . . . . . . . . . . . 100--100
Douglas K. Lilly Introduction to ``Computational Design
for Long-Term Numerical Integration of
the Equations of Fluid Motion:
Two-Dimensional Incompressible Flow.
Part I'' . . . . . . . . . . . . . . . . 101--102
Akio Arakawa Computational Design for Long-Term
Numerical Integration of the Equations
of Fluid Motion: Two-Dimensional
Incompressible Flow. Part I . . . . . . 103--114
Gerry Puckett Introduction to ``A Numerical Method for
Solving Incompressible Viscous Flow
Problems'' . . . . . . . . . . . . . . . 115--117
Alexandre Joel Chorin A Numerical Method for Solving
Incompressible Viscous Flow Problems . . 118--125
Joe Thompson Introduction to ``Numerical Solution of
the Quasilinear Poisson Equation in a
Nonuniform Triangle Mesh'' . . . . . . . 126--127
Alan M. Winslow Numerical Solution of the Quasilinear
Poisson Equation in a Nonuniform
Triangle Mesh . . . . . . . . . . . . . 128--138
A. Bruce Langdon Introduction to ``Clouds-in-Clouds,
Clouds-in-Cells Physics for Many-Body
Simulation'' . . . . . . . . . . . . . . 139--140
Charles K. Birdsall and
Dieter Fuss Clouds-in-Clouds, Clouds-in-Cells
Physics for Many-Body Plasma Simulation 141--148
Albert J. Semtner Introduction to ``A Numerical Method for
the Study of the Circulation of the
World Ocean'' . . . . . . . . . . . . . 149--153
Kirk Bryan A Numerical Method for the Study of the
Circulation of the World Ocean . . . . . 154--169
Steven T. Zalesak Introduction to ``Flux-Corrected
Transport. I. SHASTA, A Fluid Transport
Algorithm That Works'' . . . . . . . . . 170--171
Jay P. Boris and
David L. Book Flux-Corrected Transport . . . . . . . . 172--186
Norman J. Zabusky Introduction to ``Numerical Simulation
of Hydrodynamics by the Method of Point
Vortices'' . . . . . . . . . . . . . . . 187--188
J. P. Christiansen Numerical Simulation of Hydrodynamics by
the Method of Point Vortices . . . . . . 189--197
L. G. Margolin Introduction to ``An Arbitrary
Lagrangian--Eulerian Computing Method
for All Flow Speeds'' . . . . . . . . . 198--202
C. W. Hirt and
A. A. Amsden and
J. L. Cook An Arbitrary Lagrangian--Eulerian
Computing Method for All Flow Speeds . . 203--216
David G. Dritschel Introduction to ``Contour Dynamics for
the Euler Equations in Two Dimensions'' 217--219
Norman J. Zabusky and
M. H. Hughes and
K. V. Roberts Contour Dynamics for the Euler Equations
in Two Dimensions . . . . . . . . . . . 220--226
Ch. Hirsch Introduction to ``Towards the Ultimate
Conservative Difference Scheme. V. A
Second-Order Sequel to Godunov's
Method'' . . . . . . . . . . . . . . . . 227--228
Bram van Leer Towards the Ultimate Conservative
Difference Scheme . . . . . . . . . . . 229--248
M. J. Baines Introduction to ``Approximate Riemann
Solvers, Parameter Vectors, and
Difference Schemes'' . . . . . . . . . . 249--249
P. L. Roe Approximate Riemann Solvers, Parameter
Vectors, and Difference Schemes . . . . 250--258
Peter Lax Introduction to ``High Resolution
Schemes for Hyperbolic Conservation
Laws'' . . . . . . . . . . . . . . . . . 259--259
Ami Harten High Resolution Schemes for Hyperbolic
Conservation Laws . . . . . . . . . . . 260--278
John A. Board, Jr. Introduction to ``A Fast Algorithm for
Particle Simulations'' . . . . . . . . . 279--279
L. Greengard and
V. Rokhlin A Fast Algorithm for Particle
Simulations . . . . . . . . . . . . . . 280--292
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 293--293
Anonymous Author Index for Volume 135 . . . . . . 294--294
H. M. Al-Rizzo and
J. M. Tranquilla and
S. M. Al-Amri and
H. T. Alhafid Application of the Generalized Multipole
Technique (GMT) to High-Frequency
Electromagnetic Scattering from
Perfectly Conducting and Dielectric
Bodies of Revolution . . . . . . . . . . 1--18
Jaw-Yen Yang and
Min-Hung Chen and
I-Nan Tsai and
Jer-Wei Chang A Kinetic Beam Scheme for Relativistic
Gas Dynamics . . . . . . . . . . . . . . 19--40
J. P. Morris and
J. J. Monaghan A Switch to Reduce SPH Viscosity . . . . 41--50
Patrick Le Tallec and
François Mallinger Coupling Boltzmann and Navier--Stokes
Equations by Half Fluxes . . . . . . . . 51--67
Jean-David Benamou and
Bruno Despr\`es A Domain Decomposition Method for the
Helmholtz Equation and Related Optimal
Control Problems . . . . . . . . . . . . 68--82
A. Suresh and
H. T. Huynh Accurate Monotonicity-Preserving Schemes
with Runge--Kutta Time Stepping . . . . 83--99
W. T. M. Verkley A Spectral Model for Two-Dimensional
Incompressible Fluid Flow in a Circular
Basin . . . . . . . . . . . . . . . . . 100--114
W. T. M. Verkley A Spectral Model for Two-Dimensional
Incompressible Fluid Flow in a Circular
Basin . . . . . . . . . . . . . . . . . 115--131
Smadar Karni and
Sun\'cica Cani\'c Computations of Slowly Moving Shocks . . 132--139
Nigel T. Bishop and
Roberto Gómez and
Paulo R. Holvorcem and
Richard A. Matzner and
Philippos Papadopoulos and
Jeffrey Winicour Cauchy-Characteristic Evolution and
Waveforms . . . . . . . . . . . . . . . 140--167
Hongmei Jian and
Alexander V. Vologodskii and
Tamar Schlick A Combined Wormlike-Chain and Bead Model
for Dynamic Simulations of Long Linear
DNA . . . . . . . . . . . . . . . . . . 168--179
Robert Bruce Bauer A Hybrid Adaptive ENO Scheme . . . . . . 180--196
Francis X. Giraldo Lagrange--Galerkin Methods on Spherical
Geodesic Grids . . . . . . . . . . . . . 197--213
Joseph P. Morris and
Patrick J. Fox and
Yi Zhu Modeling Low Reynolds Number
Incompressible Flows Using SPH . . . . . 214--226
John P. Boyd A Correction to the Paper ``Traps and
Snares in Eigenvalue Calculations with
Application to Pseudospectral
Computations of Ocean Tides in a Basin
Bounded by Meridians'' . . . . . . . . . 227--228
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 229--229
Omar Ghattas and
Jai-Hyeong Bark Optimal Control of Two- and
Three-Dimensional Incompressible
Navier--Stokes Flows . . . . . . . . . . 231--244
Irad Yavneh and
Alexander F. Shchepetkin and
James C. McWilliams and
Lee Paul Graves Multigrid Solution of Rotating, Stably
Stratified Flows . . . . . . . . . . . . 245--262
Alexandru M. Micu and
Babak Bagheri and
Andrew V. Ilin and
Ridgway Scott and
B. Montgomery Pettitt Numerical Considerations in the
Computation of the Electrostatic Free
Energy of Interaction within the
Poisson--Boltzmann Theory . . . . . . . 263--271
F. Coquel and
K. El Amine and
E. Godlewski and
B. Perthame and
P. Rascle A Numerical Method Using Upwind Schemes
for the Resolution of Two-Phase Flows 272--288
Abhinandan Jain Compensating Mass Matrix Potential for
Constrained Molecular Dynamics . . . . . 289--297
J. J. Monaghan SPH and Riemann Solvers . . . . . . . . 298--307
V. A. Mousseau and
D. A. Knoll Fully Implicit Kinetic Solution of
Collisional Plasmas . . . . . . . . . . 308--323
E. V. Belova and
R. E. Denton and
A. A. Chan Hybrid Simulations of the Effects of
Energetic Particles on Low-Frequency MHD
Waves . . . . . . . . . . . . . . . . . 324--336
Igor Zuti\'c and
Oriol T. Valls Numerically Implemented Perturbation
Method for the Nonlinear Magnetic Moment
of an Anisotropic Superconductor . . . . 337--353
Alexy K. Mazur Common Molecular Dynamics Algorithms
Revisited: Accuracy and Optimal Time
Steps of Störmer--Leapfrog Integrators 354--365
Jeff Borggaard and
John Burns A PDE Sensitivity Equation Method for
Optimal Aerodynamic Design . . . . . . . 366--384
A. A. Charakhch'yan and
S. A. Ivanenko A Variational Form of the Winslow Grid
Generator . . . . . . . . . . . . . . . 385--398
Hans-Jakob Kaltenbach Cell Aspect Ratio Dependence of
Anisotropy Measures for Resolved and
Subgrid Scale Stresses . . . . . . . . . 399--410
M. F. Paisley Multigrid Computation of Stratified Flow
over Two-Dimensional Obstacles . . . . . 411--424
Niles A. Pierce and
Michael B. Giles Preconditioned Multigrid Methods for
Compressible Flow Calculations on
Stretched Meshes . . . . . . . . . . . . 425--445
Patricia Cargo and
Gérard Gallice Roe Matrices for Ideal MHD and
Systematic Construction of Roe Matrices
for Systems of Conservation Laws . . . . 446--466
Kumar Srinivasan and
Stanley G. Rubin Solution-Based Grid Adaptation through
Segmented Multigrid Domain Decomposition 467--493
Rongqing Chen and
Hua Guo Determination of Eigenstates via
Lanczos-Based Forward Substitution and
Filter-Diagonalization . . . . . . . . . 494--502
Iztok Tiselj and
Stojan Petelin Modelling of Two-Phase Flow with
Second-Order Accurate Scheme . . . . . . 503--521
Richard D. Hornung and
John A. Trangenstein Adaptive Mesh Refinement and Multilevel
Iteration for Flow in Porous Media . . . 522--545
A. Pinelli and
A. Vacca and
A. Quarteroni A Spectral Multidomain Method for the
Numerical Simulation of Turbulent Flows 546--558
A. Albrecht and
S. K. Cheung and
K. S. Leung and
C. K. Wong Stochastic Simulations of
Two-Dimensional Composite Packings . . . 559--579
Rüdiger Jakob-Chien and
Bradley K. Alpert A Fast Spherical Filter with Uniform
Resolution . . . . . . . . . . . . . . . 580--584
Alexander Figotin and
Yuri A. Godin The Computation of Spectra of Some $2$D
Photonic Crystals . . . . . . . . . . . 585--598
D. M. Bylander and
Leonard Kleinman White and Bird's Formulation of
Gradient-Corrected Exchange-Correlation
Potentials Applied to Atoms . . . . . . 599--602
J. Steelant and
E. Dick and
S. Pattijn Analysis of Robust Multigrid Methods for
Steady Viscous Low Mach Number Flows . . 603--628
Hongwei Cheng and
Leslie Greengard On the numerical evaluation of
electrostatic fields in dense random
dispersions of cylinders . . . . . . . . 629--639
Trevor W. Dawson and
Jan De Moerloose and
Maria A. Stuchly Hybrid Finite-Difference Method for
High-Resolution Modelling of
Low-Frequency Electric Induction in
Humans . . . . . . . . . . . . . . . . . 640--653
P. M. Bellan An Effective Numerical Method for Linear
Mode Conversion Problems . . . . . . . . 654--659
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 660--661
Anonymous Author Index for Volume 136 . . . . . . 662--662
B. Koren and
P. W. Hemker Godunov-type Schemes, Sparse Grids and
$3$D CFD . . . . . . . . . . . . . . . .
Lo\"ìc Tourrette Artificial Boundary Conditions for the
Linearized Compressible Navier--Stokes
Equations . . . . . . . . . . . . . . . 1--37
P. Batten and
M. A. Leschziner and
U. C. Goldberg Average-State Jacobians and Implicit
Methods for Compressible Viscous and
Turbulent Flows . . . . . . . . . . . . 38--78
Robert C. Forrey Computing the Hypergeometric Function 79--100
Steven C. Rennich and
Sanjiva K. Lele Numerical Method for Incompressible
Vortical Flows with Two Unbounded
Directions . . . . . . . . . . . . . . . 101--129
Julia G. Levin and
Mohamed Iskandarani and
Dale B. Haidvogel A Spectral Filtering Procedure for
Eddy-Resolving Simulations with a
Spectral Element Ocean Model . . . . . . 130--154
John N. Shadid and
Ray S. Tuminaro and
Homer F. Walker An Inexact Newton Method for Fully
Coupled Solution of the Navier--Stokes
Equations with Heat and Mass Transport 155--185
H. J. H. Clercx A Spectral Solver for the Navier--Stokes
Equations in the Velocity-Vorticity
Formulation for Flows with Two
Nonperiodic Directions . . . . . . . . . 186--211
Richard Liska and
Burton Wendroff Analysis and Computation with Stratified
Fluid Models . . . . . . . . . . . . . . 212--244
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 245--246
Atsuhiro Tamura and
Kazuo Kikuchi and
Tadayasu Takahashi Residual Cutting Method for Elliptic
Boundary Value Problems . . . . . . . . 247--264
Jean-Pierre Cocchi and
Richard Saurel A Riemann Problem Based Method for the
Resolution of Compressible Multimaterial
Flows . . . . . . . . . . . . . . . . . 265--298
Vineet Ahuja and
Lyle N. Long A Parallel Finite-Volume Runge--Kutta
Algorithm for Electromagnetic Scattering 299--320
T. Matsushima and
P. S. Marcus A Spectral Method for Unbounded Domains 321--345
Donald J. Jacobs and
Bruce Hendrickson An Algorithm for Two-Dimensional
Rigidity Percolation: The Pebble Game 346--365
H. S. Udaykumar and
Heng-Chuan Kan and
Wei Shyy and
Roger Tran-Son-Tay Multiphase Dynamics in Arbitrary
Geometries on Fixed Cartesian Grids . . 366--405
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 406--407
Anonymous Author Index for Volume 137 . . . . . . 408--408
Gerald Farin and
Bernd Hamann Current Trends in Geometric Modeling and
Selected Computational Applications . . 1--15
Oleg V. Vasilyev and
Samuel Paolucci A Fast Adaptive Wavelet Collocation
Algorithm for Multidimensional PDEs . . 16--56
Weinan E. and
Jian-Guo Liu Finite Difference Methods for $3$D
Viscous Incompressible Flows in the
Vorticity-Vector Potential Formulation
on Nonstaggered Grids . . . . . . . . . 57--82
J. Falcovitz and
G. Alfandary and
G. Hanoch A Two-Dimensional Conservation Laws
Scheme for Compressible Flows with
Moving Boundaries . . . . . . . . . . . 83--102
Gunilla Efraimsson A $2$D Analysis of the Influence of
Artificial Viscosity Terms on Solutions
of the Euler Equations . . . . . . . . . 103--120
F. Bertagnolio and
O. Daube Solution of the Div-Curl Problem in
Generalized Curvilinear Coordinates . . 121--152
Alexander Figotin and
Igor Khalfin Bound States of a One-Band Model for
$3$D Periodic Medium . . . . . . . . . . 153--170
F. Assous and
P. Degond and
J. Segré A New Scheme to Treat the Numerical
Tcherenkov Instability for
Electromagnetic Particle Simulations . . 171--192
D. Adalsteinsson and
J. A. Sethian A Level Set Approach to a Unified Model
for Etching, Deposition, and Lithography 193--223
R. Cortez and
D. A. Varela The Dynamics of an Elastic Membrane
Using the Impulse Method . . . . . . . . 224--247
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 248--249
F. Bassi and
S. Rebay High-Order Accurate Discontinuous Finite
Element Solution of the $2$D Euler
Equations . . . . . . . . . . . . . . . 251--285
Xudong T. Wu and
Prakashan P. Korambath and
Edward F. Hayes and
Danny C. Sorensen Computation of Rovibrational Eigenvalues
of van der Waals Molecules on a CRAY T3D 286--301
J. S. Marshall and
J. R. Grant A Lagrangian Vorticity Collocation
Method for Viscous, Axisymmetric Flows
with and without Swirl . . . . . . . . . 302--330
J. Weese and
E. Korat and
D. Maier and
J. Honerkamp Unfolding Sphere Size Distributions with
a Density Estimator Based on Tikhonov
Regularization . . . . . . . . . . . . . 331--353
Lorenzo Mottura and
Luigi Vigevano and
Marco Zaccanti An Evaluation of Roe's Scheme
Generalizations for Equilibrium Real Gas
Flows . . . . . . . . . . . . . . . . . 354--399
S. Antonov and
F.-J. Pfreundt and
J. Struckmeier Adaptive Load Balance Techniques in
Parallel Rarefied Gas Simulations . . . 400--418
M. E. Hubbard and
M. J. Baines Conservative Multidimensional Upwinding
for the Steady Two-Dimensional Shallow
Water Equations . . . . . . . . . . . . 419--448
M. S. Carvalho and
L. E. Scriven Flows in Forward Deformable Roll Coating
Gaps: Comparison between Spring and
Plane-Strain Models of Roll Cover . . . 449--479
B. Fidel and
E. Heyman and
R. Kastner and
R. W. Ziolkowski Hybrid Ray-FDTD Moving Window Approach
to Pulse Propagation . . . . . . . . . . 480--500
M. Zerroukat and
L. C. Wrobel A Boundary Element Method for Multiple
Moving Boundary Problems . . . . . . . . 501--519
R. van Buuren and
J. G. M. Kuerten and
B. J. Geurts Instabilities of Stationary Inviscid
Compressible Flow around an Airfoil . . 520--539
Glenn Joyce and
Martin Lampe and
Steven P. Slinker and
Wallace M. Manheimer Electrostatic Particle-in-Cell
Simulation Technique for Quasineutral
Plasma . . . . . . . . . . . . . . . . . 540--562
Wallace M. Manheimer and
Martin Lampe and
Glenn Joyce Langevin Representation of Coulomb
Collisions in PIC Simulations . . . . . 563--584
Dennis W. Hewett The Embedded Curved Boundary Method for
Orthogonal Simulation Meshes . . . . . . 585--616
Datta Gaitonde and
J. S. Shang Optimized Compact-Difference-Based
Finite-Volume Schemes for Linear Wave
Phenomena . . . . . . . . . . . . . . . 617--643
Anne Gelb and
David Gottlieb and
Nathan Paldor Wind Set-down Relaxation on a Sloping
Beach . . . . . . . . . . . . . . . . . 644--664
John P. Boyd Pseudospectral/Delves--Freeman
Computations of the Radiation
Coefficient for Weakly Nonlocal Solitary
Waves of the Third-Order Nonlinear
Schrödinger Equation and Their Relation
to Hyperasymptotic Perturbation Theory 665--694
Shuling Hou and
Xiaowen Shan and
Qisu Zou and
Gary D. Doolen and
Wendy E. Soll Evaluation of Two Lattice Boltzmann
Models for Multiphase Flows . . . . . . 695--713
Jos L. M. van Dorsselaer Computing Eigenvalues Occurring in
Continuation Methods with the
Jacobi--Davidson $ Q Z $ Method . . . . 714--733
Michael L. Minion and
David L. Brown Performance of Under-resolved
Two-Dimensional Incompressible Flow
Simulations, II . . . . . . . . . . . . 734--765
Samir Muzaferija and
David Gosman Finite-Volume CFD Procedure and Adaptive
Error Control Strategy for Grids of
Arbitrary Topology . . . . . . . . . . . 766--787
Åke Edlund and
Ilya Vorobeichik and
Uri Peskin High Order Perturbation Theory for
Helmholtz/Schrödinger Equations via a
Separable Preconditioner . . . . . . . . 788--800
J. J. Monaghan Implicit SPH Drag and Dusty Gas Dynamics 801--820
P. Koumoutsakos Inviscid Axisymmetrization of an
Elliptical Vortex . . . . . . . . . . . 821--857
U. Zrahia and
S. A. Orszag and
M. Israeli Hybrid Spectral Element/Asymptotic
Method for Boundary Layers Problems . . 858--880
R. Zanino Advanced Finite Element Modeling of the
Tokamak Plasma Edge . . . . . . . . . . 881--906
Francis Collino and
Patrick Joly and
Florence Millot Fictitious Domain Method for Unsteady
Problems . . . . . . . . . . . . . . . . 907--938
F. J. Kelecy and
R. H. Pletcher The Development of a Free Surface
Capturing Approach for Multidimensional
Free Surface Flows in Closed Containers 939--980
Gábor Tóth The LASY Preprocessor and Its
Application to General Multidimensional
Codes . . . . . . . . . . . . . . . . . 981--990
Anonymous Abstracts of Papers to Appear in Future
Issues . . . . . . . . . . . . . . . . . 991--992
Anonymous Author Index for Volume 138 . . . . . . 993--993
Anonymous Cumulative Author--Title Index
1992--1997 . . . . . . . . . . . . . . . 994--1033
Taku Ohwada Higher Order Approximation Methods for
the Boltzmann Equation . . . . . . . . . 1--14
Stefano Marano and
Mario Medugno and
Maurizio Longo A Real-Time Parallel Application:: The
Detection of Gravitational Waves by a
Network of Heterogeneous Workstations 15--34
C. Liu and
X. Zheng and
C. H. Sung Preconditioned Multigrid Methods for
Unsteady Incompressible Flows . . . . . 35--57
Wenlong Dai and
Paul R. Woodward Numerical Simulations for Nonlinear Heat
Transfer in a System of Multimaterials 58--78
Pavol Pavlo and
George Vahala and
Linda Vahala and
Min Soe Linear Stability Analysis of
Thermo-Lattice Boltzmann Models . . . . 79--91
Wei Cai and
Wu Zhang An Adaptive Spline Wavelet ADI (SW--ADI)
Method for Two-Dimensional
Reaction-Diffusion Equations . . . . . . 92--126
F. Brau and
C. Semay The Three-Dimensional Fourier Grid
Hamiltonian Method . . . . . . . . . . . 127--136
Yu-lin Xu Efficient Evaluation of Vector
Translation Coefficients in
Multiparticle Light-Scattering Theories 137--165
Quan Qi and
Thomas L. Geers Evaluation of the Perfectly Matched
Layer for Computational Acoustics . . . 166--183
Peter G. Petropoulos and
Li Zhao and
Andreas C. Cangellaris A Reflectionless Sponge Layer Absorbing
Boundary Condition for the Solution of
Maxwell's Equations with High-Order
Staggered Finite Difference Schemes . . 184--208
Yongqi Wang and
Kolumban Hutter A Semi-Implicit Semispectral Primitive
Equation Model for Lake Circulation
Dynamics and Its Stability Performance 209--241
Yan Ding and
Mutsuto Kawahara Linear Stability of Incompressible Flow
Using a Mixed Finite Element Method . . 243--273
C. W. Oosterlee and
F. J. Gaspar and
T. Washio and
R. Wienands Multigrid Line Smoothers for Higher
Order Upwind Discretizations of
Convection-Dominated Problems . . . . . 274--307
J. M. Lopez and
Jie Shen An Efficient Spectral-Projection Method
for the Navier--Stokes Equations in
Cylindrical Geometries: I. Axisymmetric
Cases . . . . . . . . . . . . . . . . . 308--326
Marcus J. Grote and
Joseph B. Keller Nonreflecting Boundary Conditions for
Maxwell's Equations . . . . . . . . . . 327--342
Erlend Arge and
Angela Kunoth An Efficient ADI-Solver for Scattered
Data Problems with Global Smoothing . . 343--358
C. Sabbah and
R. Pasquetti A Divergence-Free Multidomain Spectral
Solver of the Navier--Stokes Equations
in Geometries of High Aspect Ratio . . . 359--379
J. Patrick Jessee and
Woodrow A. Fiveland and
Louis H. Howell and
Phillip Colella and
Richard B. Pember An Adaptive Mesh Refinement Algorithm
for the Radiative Transport Equation . . 380--398
Florian Gagel Finite-Temperature Evaluation of the
Fermi Density Operator . . . . . . . . . 399--405
Mikhail Shashkov and
Blair Swartz and
Burton Wendroff Local Reconstruction of a Vector Field
from Its Normal Components on the Faces
of Grid Cells . . . . . . . . . . . . . 406--409
Walter C. Welton Two-Dimensional PDF/SPH Simulations of
Compressible Turbulent Flows . . . . . . 410--443
Anonymous Abstracts of Papers to Appear . . . . . 444--445
Anonymous Author Index . . . . . . . . . . . . . . 446--446
Tamar Schlick and
Margaret Mandziuk and
Robert D. Skeel and
K. Srinivas Nonlinear Resonance Artifacts in
Molecular Dynamics Simulations . . . . . 1--29
M. B. van Gijzen and
C. B. Vreugdenhil and
H. Oksuzoglu The Finite Element Discretization for
Stream-Function Problems on Multiply
Connected Domains . . . . . . . . . . . 30--46
Tobin A. Driscoll and
Bengt Fornberg A Block Pseudospectral Method for
Maxwell's Equations: I. One-Dimensional
Case . . . . . . . . . . . . . . . . . . 47--65
Alejandro L. Garcia and
Berni J. Alder Generation of the Chapman--Enskog
Distribution . . . . . . . . . . . . . . 66--70
D. D. Schnack and
I. Lottati and
Z. Miki\'c and
P. Satyanarayana A Finite-Volume Algorithm for
Three-Dimensional Magnetohydrodynamics
on an Unstructured, Adaptive Grid in
Axially Symmetric Geometry . . . . . . . 71--121
Yen Liu and
Marcel Vinokur Exact Integrations of Polynomials and
Symmetric Quadrature Formulas over
Arbitrary Polyhedral Grids . . . . . . . 122--147
Robert E. Peterkin, Jr. and
Michael H. Frese and
Carl R. Sovinec Transport of Magnetic Flux in an
Arbitrary Coordinate ALE Code . . . . . 148--171
Roberto Lionello and
Zoran Miki\'c and
Dalton D. Schnack Magnetohydrodynamics of Solar Coronal
Plasmas in Cylindrical Geometry . . . . 172--201
Anonymous Abstracts of Papers to Appear . . . . . 202--203
Andrei I. Tolstykh and
Michael V. Lipavskii On Performance of Methods with Third-
and Fifth-Order Compact Upwind
Differencing . . . . . . . . . . . . . . 205--232
Thomas S. Lund and
Xiaohua Wu and
Kyle D. Squires Generation of Turbulent Inflow Data for
Spatially-Developing Boundary Layer
Simulations . . . . . . . . . . . . . . 233--258
Hans Forrer and
Rolf Jeltsch A Higher-Order Boundary Treatment for
Cartesian-Grid Methods . . . . . . . . . 259--277
Ross A. Lippert and
T. A. Arias and
Alan Edelman Multiscale Computation with
Interpolating Wavelets . . . . . . . . . 278--310
Andreas Meister Comparison of Different Krylov Subspace
Methods Embedded in an Implicit Finite
Volume Scheme for the Computation of
Viscous and Inviscid Flow Fields on
Unstructured Grids . . . . . . . . . . . 311--345
Ping Yang and
K. N. Liou An Efficient Algorithm for Truncating
Spatial Domain in Modeling Light
Scattering by Finite-Difference
Technique . . . . . . . . . . . . . . . 346--369
Peter C. Chu and
Chenwu Fan A Three-Point Combined Compact
Difference Scheme . . . . . . . . . . . 370--399
Sergey V. Polstyanko and
Jin-Fa Lee Two-Level Hierarchical FEM Method for
Modeling Passive Microwave Devices . . . 400--420
Joseph P. Wright Numerical Instability due to Varying
Time Steps in Explicit Wave Propagation
and Mechanics Calculations . . . . . . . 421--431
George Z. Yang and
Nicholas Zabaras The Adjoint Method for an Inverse Design
Problem in the Directional
Solidification of Binary Alloys . . . . 432--452
S. Rombouts and
K. Heyde An Accurate and Efficient Algorithm for
the Computation of the Characteristic
Polynomial of a General Square Matrix 453--458
Piotr K. Smolarkiewicz and
Len G. Margolin MPDATA: a Finite-Difference Solver for
Geophysical Flows . . . . . . . . . . . 459--480
Anonymous Abstracts of Papers to Appear . . . . . 481--482
Anonymous Author Index for Volume 140 . . . . . . 483--483
Guus Segal and
Kees Vuik and
Fred Vermolen A Conserving Discretization for the Free
Boundary in a Two-Dimensional Stefan
Problem . . . . . . . . . . . . . . . . 1--21
Ronald P. Fedkiw and
Barry Merriman and
Stanley Osher Efficient Characteristic Projection in
Upwind Difference Schemes for Hyperbolic
Systems: The Complementary Projection
Method . . . . . . . . . . . . . . . . . 22--36
Y. Todo and
T. Sato A Particle Algorithm for Linear Kinetic
Analysis in Tokamak Plasmas . . . . . . 37--45
J. J. W. van der Vegt and
H. van der Ven Discontinuous Galerkin Finite Element
Method with Anisotropic Local Grid
Refinement for Inviscid Compressible
Flows . . . . . . . . . . . . . . . . . 46--77
Wen Chen and
Tingxiu Zhong and
C. Shu A Lyapunov Formulation for Efficient
Solution of the Poisson and
Convection-Diffusion Equations by the
Differential Quadrature Method . . . . . 78--84
Leonhard Kleiser and
Carlos Härtel and
Torsten Wintergerste Letter to the Editor: There Is No Error
in the Kleiser--Schumann Influence
Matrix Method . . . . . . . . . . . . . 85--87
J. Werne Letter to the Editor: Comment on ``There
Is No Error in the Kleiser--Schumann
Influence Matrix Method'' . . . . . . . 88--89
Anonymous Abstracts of Papers to Appear . . . . . 90--91
L. Debreu and
E. Blayo On the Schwarz Alternating Method for
Oceanic Models on Parallel Computers . . 93--111
William J. Rider and
Douglas B. Kothe Reconstructing Volume Tracking . . . . . 112--152
Hester Bijl and
Pieter Wesseling A Unified Method for Computing
Incompressible and Compressible Flows in
Boundary-Fitted Coordinates . . . . . . 153--173
E. J. Caramana and
P. P. Whalen Numerical Preservation of Symmetry
Properties of Continuum Problems . . . . 174--198
Bernardo Cockburn and
Chi-Wang Shu The Runge--Kutta Discontinuous Galerkin
Method for Conservation Laws V:
Multidimensional Systems . . . . . . . . 199--224
Anonymous Abstracts of Papers to Appear . . . . . 225--226
Anonymous Author Index for Volume 141 . . . . . . 227--227
Ann S. Almgren and
John B. Bell and
Phillip Colella and
Louis H. Howell and
Michael L. Welcome A Conservative Adaptive Projection
Method for the Variable Density
Incompressible Navier--Stokes Equations 1--46
Weiming Sha and
Koichi Nakabayashi and
Hiromasa Ueda An Accurate Second-Order Approximation
Factorization Method for Time-Dependent
Incompressible Navier--Stokes Equations
in Spherical Polar Coordinates . . . . . 47--66
K. Ehrendorfer and
F. Ottitsch and
H. Sockel A Time-Domain Method for the
Determination of Unsteady Pressure with
a Tube of Constant Cross-Section . . . . 67--79
J. David Moulton and
Joel E. Dendy, Jr. and
James M. Hyman The Black Box Multigrid Numerical
Homogenization Algorithm . . . . . . . . 80--108
J. H. Samson and
G. A. Evans Symmetry Reduction of Fourier Kernels 109--122
James H. Strickland and
Roy S. Baty Modification of the Carrier, Greengard,
and Rokhlin FMM for Independent Source
and Target Fields . . . . . . . . . . . 123--128
J. S. Hesthaven On the Analysis and Construction of
Perfectly Matched Layers for the
Linearized Euler Equations . . . . . . . 129--147
Leesa Brieger and
Giuditta Lecca Parallel Multigrid Preconditioning of
the Conjugate Gradient Method for
Systems of Subsurface Hydrology . . . . 148--162
Howard C. Elman and
Dianne P. O'Leary Efficient Iterative Solution of the
Three-Dimensional Helmholtz Equation . . 163--181
Wenlong Dai and
Paul R. Woodward Numerical Simulations for Radiation
Hydrodynamics. I. Diffusion Limit . . . 182--207
Keh-Ming Shyue An Efficient Shock-Capturing Algorithm
for Compressible Multicomponent Problems 208--242
Kevin Kremeyer Cellular Automata Investigations of
Binary Solidification . . . . . . . . . 243--262
Lorenz M. Hofmann and
Thorwald Herbert Reproducing the Flow Response to
Actuator Motion . . . . . . . . . . . . 264--268
Anonymous Abstracts of Papers to Appear . . . . . 269--270
W. Kerner and
J. P. Goedbloed and
G. T. A. Huysmans and
S. Poedts and
E. Schwarz CASTOR: Normal-Mode Analysis of
Resistive MHD Plasmas . . . . . . . . . 271--303
Xu-Dong Liu and
Stanley Osher Convex ENO High Order Multi-dimensional
Schemes without Field by Field
Decomposition or Staggered Grids . . . . 304--330
Wenlong Dai and
Paul R. Woodward A Simple Finite Difference Scheme for
Multidimensional Magnetohydrodynamical
Equations . . . . . . . . . . . . . . . 331--369
V. G. Priymak and
T. Miyazaki Accurate Navier--Stokes Investigation of
Transitional and Turbulent Flows in a
Circular Pipe . . . . . . . . . . . . . 370--411
Kun Xu and
Jishan Hu Projection Dynamics in Godunov-Type
Schemes . . . . . . . . . . . . . . . . 412--427
Henrik O. Nordmark Efficient and Highly Accurate
Computation of a Class of Radially
Symmetric Solutions of the
Navier--Stokes Equation and the Heat
Equation in Two Dimensions . . . . . . . 428--444
Ying Huang and
Alain Lerat Second-Order Upwinding through a
Characteristic Time-Step Matrix for
Compressible Flow Calculations . . . . . 445--472
D. A. Knoll An Improved Convection Scheme Applied to
Recombining Divertor Plasma Flows . . . 473--488
K. L. Tse and
J. R. Chasnov A Fourier--Hermite Pseudospectral Method
for Penetrative Convection . . . . . . . 489--505
Cheryl V. Hile and
Gregory A. Kriegsmann A Hybrid Numerical Method for Loaded
Highly Resonant Single Mode Cavities . . 506--520
E. J. Caramana and
M. J. Shashkov Elimination of Artificial Grid
Distortion and Hourglass-Type Motions by
Means of Lagrangian Subzonal Masses and
Pressures . . . . . . . . . . . . . . . 521--561
Bruno Costa and
Lucia Dettori Fourier Collocation Splittings for
Partial Differential Equations . . . . . 562--580
M. F. Paisley and
N. M. Bhatti Comparison of Multigrid Methods for
Neutral and Stably Stratified Flows over
Two-Dimensional Obstacles . . . . . . . 581--610
Timur Linde and
Philip Roe On a Mistaken Notion of ``Proper
Upwinding'' . . . . . . . . . . . . . . 611--614
Anonymous Abstracts of Papers to Appear . . . . . 615--616
Anonymous Author Index for Volume 142 . . . . . . 617--617
G. A. Chumakov and
S. G. Chumakov A Method for the $2$-D Quasi-Isometric
Regular Grid Generation . . . . . . . . 1--28
R. Capuzzo-Dolcetta and
P. Miocchi A Comparison between the Fast Multipole
Algorithm and the Tree-Code to Evaluate
Gravitational Forces in $3$-D . . . . . 29--48
Qing Nie and
Greg Baker Application of Adaptive Quadrature to
Axi-symmetric Vortex Sheet Motion . . . 49--69
Oliver Warschkow and
John M. Dyke and
Donald E. Ellis A Divide-and-Conquer Implementation of
the Discrete Variational DFT Method for
Large Molecular and Solid Systems . . . 70--89
Y. Morinishi and
T. S. Lund and
O. V. Vasilyev and
P. Moin Fully Conservative Higher Order Finite
Difference Schemes for Incompressible
Flow . . . . . . . . . . . . . . . . . . 90--124
David A. Kopriva A Staggered-Grid Multidomain Spectral
Method for the Compressible
Navier--Stokes Equations . . . . . . . . 125--158
Michael Fey Multidimensional Upwinding. Part I. The
Method of Transport for Solving the
Euler Equations . . . . . . . . . . . . 159--180
Michael Fey Multidimensional Upwinding. Part II.
Decomposition of the Euler Equations
into Advection Equations . . . . . . . . 181--199
Isaac Harari and
Igor Patlashenko and
Dan Givoli Dirichlet-to-Neumann Maps for Unbounded
Wave Guides . . . . . . . . . . . . . . 200--223
David P. Nicholls Traveling Water Waves: Spectral
Continuation Methods with Parallel
Implementation . . . . . . . . . . . . . 224--240
Dan Givoli and
Igor Patlashenko Finite-Element Solution of Nonlinear
Time-Dependent Exterior Wave Problems 241--258
Petr Cársky and
Martin Polásek Incomplete Gamma $ F_m(x) $ Functions
for Real Negative and Complex Arguments 259--265
Petr Cársky and
Martin Polásek Evaluation of Molecular Integrals in a
Mixed Gaussian and Plane-Wave Basis by
Rys Quadrature . . . . . . . . . . . . . 266--277
B. Yu. Scobelev On the Question about the Sufficiency of
the von Neumann Criterion for Stability
of Difference Schemes . . . . . . . . . 278--282
John P. Boyd Two Comments on Filtering (Artificial
Viscosity) for Chebyshev and Legendre
Spectral and Spectral Element Methods:
Preserving Boundary Conditions and
Interpretation of the Filter as a
Diffusion . . . . . . . . . . . . . . . 283--288
Anonymous Abstracts of Papers to Appear . . . . . 289--290
H. C. Motin Solving Integral Equations by
Reconstruction in Isomorphic Taylor
Coefficient Spaces . . . . . . . . . . . 291--311
P. J. O'Rourke and
M. S. Sahota A Variable Explicit/Implicit Numerical
Method for Calculating Advection on
Unstructured Meshes . . . . . . . . . . 312--345
G. Agresar and
J. J. Linderman and
G. Tryggvason and
K. G. Powell An Adaptive, Cartesian, Front-Tracking
Method for the Motion, Deformation and
Adhesion of Circulating Cells . . . . . 346--380
Habib N. Najm and
Peter S. Wyckoff and
Omar M. Knio A Semi-implicit Numerical Scheme for
Reacting Flow: I. Stiff Chemistry . . . 381--402
K. Ito and
S. S. Ravindran A Reduced-Order Method for Simulation
and Control of Fluid Flows . . . . . . . 403--425
Renwei Mei and
Wei Shyy On the Finite Difference-Based Lattice
Boltzmann Method in Curvilinear
Coordinates . . . . . . . . . . . . . . 426--448
Jun Zhang Fast and High Accuracy Multigrid
Solution of the Three Dimensional
Poisson Equation . . . . . . . . . . . . 449--461
M. F. Lough and
S. H. Lee and
J. Kamath An Efficient Boundary Integral
Formulation for Flow Through Fractured
Porous Media . . . . . . . . . . . . . . 462--483
Hua-Gen Yu and
Sean C. Smith The Elimination of Lanczos Ghosting
Effects by MINRES Filter Diagonalization 484--494
Hong-Kai Zhao and
Barry Merriman and
Stanley Osher and
Lihe Wang Capturing the Behavior of Bubbles and
Drops Using the Variational Level Set
Approach . . . . . . . . . . . . . . . . 495--518
A. M. Khokhlov Fully Threaded Tree Algorithms for
Adaptive Refinement Fluid Dynamics
Simulations . . . . . . . . . . . . . . 519--543
Xing Cai and
Hans Petter Langtangen and
Bjòrn Fredrik Nielsen and
Aslak Tveito A Finite Element Method for Fully
Nonlinear Water Waves . . . . . . . . . 544--568
Karl W. Schulz and
Yannis Kallinderis Unsteady Flow Structure Interaction for
Incompressible Flows Using Deformable
Hybrid Grids . . . . . . . . . . . . . . 569--597
Chongam Kim and
Antony Jameson A Robust and Accurate LED--BGK Solver on
Unstructured Adaptive Meshes . . . . . . 598--627
Thomas Y. Hou and
Isaac Klapper and
Helen Si Removing the Stiffness of Curvature in
Computing $3$-D Filaments . . . . . . . 628--664
Peter G. Petropoulos On the Termination of the Perfectly
Matched Layer with Local Absorbing
Boundary Conditions . . . . . . . . . . 665--673
D. Stanescu and
W. G. Habashi $ 2 N $-Storage Low Dissipation and
Dispersion Runge--Kutta Schemes for
Computational Acoustics . . . . . . . . 674--681
Anonymous Abstracts of Papers to Appear . . . . . 682--683
Anonymous Author Index for Volume 143 . . . . . . 684--684
Tony W. H. Sheu and
S. K. Wang and
S. F. Tsai Development of a High-Resolution Scheme
for a Multi-dimensional
Advection-Diffusion Equation . . . . . . 1--16
J. E. Morel and
Randy M. Roberts and
Mikhail J. Shashkov A Local Support-Operators Diffusion
Discretization Scheme for Quadrilateral
$r$--$z$ Meshes . . . . . . . . . . . . 17--51
J. Qian and
G. Tryggvason and
C. K. Law A Front Tracking Method for the Motion
of Premixed Flames . . . . . . . . . . . 52--69
E. J. Caramana and
M. J. Shashkov and
P. P. Whalen Formulations of Artificial Viscosity for
Multi-dimensional Shock Wave
Computations . . . . . . . . . . . . . . 70--97
C. Cossu and
T. Loiseleux On the Convective and Absolute Nature of
Instabilities in Finite Difference
Numerical Simulations of Open Flows . . 98--108
E. Braverman and
M. Israeli and
A. Averbuch and
L. Vozovoi A Fast $3$D Poisson Solver of Arbitrary
Order Accuracy . . . . . . . . . . . . . 109--136
William W. Hager A Discrete Model for the Lightning
Discharge . . . . . . . . . . . . . . . 137--150
Lo\"ìc Tourrette Artificial Boundary Conditions for the
Linearized Compressible Navier--Stokes
Equations: II. The Discrete Approach . . 151--179
Leonid Prigozhin Solution of Thin Film Magnetization
Problems in Type-II Superconductivity 180--193
Oliver Friedrich Weighted Essentially Non-Oscillatory
Schemes for the Interpolation of Mean
Values on Unstructured Grids . . . . . . 194--212
Christopher K. W. Tam and
Laurent Auriault and
Francesco Cambuli Perfectly Matched Layer as an Absorbing
Boundary Condition for the Linearized
Euler Equations in Open and Ducted
Domains . . . . . . . . . . . . . . . . 213--234
Anonymous Abstracts of Papers to Appear . . . . . 235--236
Hwajeong Choi and
Jian-Guo Liu The Reconstruction of Upwind Fluxes for
Conservation Laws: Its Behavior in
Dynamic and Steady State Calculations 237--256
H. X. Vu A Massively Parallel Three-Dimensional
Hybrid Code for Simulating Ion-Driven
Parametric Instabilities . . . . . . . . 257--279
David Brydon and
John Pearson and
Michael Marder Solving Stiff Differential Equations
with the Method of Patches . . . . . . . 280--298
Aniruddha S. Worlikar and
Omar M. Knio and
Rupert Klein Numerical Simulation of a Thermoacoustic
Refrigerator: II. Stratified Flow around
the Stack . . . . . . . . . . . . . . . 299--324
I. Lomtev and
C. B. Quillen and
G. E. Karniadakis Spectral/hp Methods for Viscous
Compressible Flows on Unstructured $2$D
Meshes . . . . . . . . . . . . . . . . . 325--357
William B. Bateson and
Dennis W. Hewett Grid and Particle Hydrodynamics:: Beyond
Hydrodynamics via Fluid Element
Particle-in-Cell . . . . . . . . . . . . 358--378
Liqun Zhou and
Vincent B. Wickwar and
Robert W. Schunk Solving the Navier--Stokes Systems with
Weak Viscosity and Strong Heat
Conduction Using the Flux-Corrected
Transport Technique and the
Alternating-Directional Explicit Method 379--401
Abraham Salazar and
Antonio Campo and
Biagio Morrone On Approximate Solutions for Unsteady
Conduction in Slabs with Uniform Heat
Flux . . . . . . . . . . . . . . . . . . 402--422
Dohyung Lee Design Criteria for Local Euler
Preconditioning . . . . . . . . . . . . 423--459
Dohyung Lee The Design of Local Navier--Stokes
Preconditioning for Compressible Flow 460--483
Scott G. Sheffer and
Luigi Martinelli and
Antony Jameson An Efficient Multigrid Algorithm for
Compressible Reactive Flows . . . . . . 484--516
Costas D. Dimitropoulos and
Brian J. Edwards and
Kyung-Sun Chae and
Antony N. Beris Efficient Pseudospectral Flow
Simulations in Moderately Complex
Geometries . . . . . . . . . . . . . . . 517--549
Donald N. Slinn and
J. J. Riley A Model for the Simulation of Turbulent
Boundary Layers in an Incompressible
Stratified Flow . . . . . . . . . . . . 550--602
Steven J. Ruuth Efficient Algorithms for
Diffusion-Generated Motion by Mean
Curvature . . . . . . . . . . . . . . . 603--625
Joseph W. Schumer and
James Paul Holloway Vlasov Simulations Using Velocity-Scaled
Hermite Representations . . . . . . . . 626--661
Xiaolin Zhong High-Order Finite-Difference Schemes for
Numerical Simulation of Hypersonic
Boundary-Layer Transition . . . . . . . 662--709
S. Tiwari Coupling of the Boltzmann and Euler
Equations with Automatic Domain
Decomposition . . . . . . . . . . . . . 710--726
Leonardo Borges and
Suely Oliveira A Parallel Davidson-Type Algorithm for
Several Eigenvalues . . . . . . . . . . 727--748
Anonymous Abstracts of Papers to Appear . . . . . 749--750
Anonymous Author Index for Volume 144 . . . . . . 751--751
Timothy J. Barth and
James A. Sethian Numerical Schemes for the
Hamilton--Jacobi and Level Set Equations
on Triangulated Domains . . . . . . . . 1--40
Michael V. Smolsky Long Time-Step Particle Pushing in Drift
Approximation without Orbit Averaging 41--60
S. Kwak and
C. Pozrikidis Adaptive Triangulation of Evolving,
Closed, or Open Surfaces by the
Advancing-Front Method . . . . . . . . . 61--88
Erkki Heikkola and
Yuri A. Kuznetsov and
Pekka Neittaanmäki and
Jari Toivanen Fictitious Domain Methods for the
Numerical Solution of Two-Dimensional
Scattering Problems . . . . . . . . . . 89--109
M. S. Hamed and
J. M. Floryan Numerical Simulation of Unsteady
Nonisothermal Capillary Interfaces . . . 110--140
D. J. Mavriplis Multigrid Strategies for Viscous Flow
Solvers on Anisotropic Unstructured
Meshes . . . . . . . . . . . . . . . . . 141--165
Steven J. Ruuth A Diffusion-Generated Approach to
Multiphase Motion . . . . . . . . . . . 166--192
K. A. Cliffe and
S. J. Tavener Marangoni--Bénard Convection with a
Deformable Free Surface . . . . . . . . 193--227
C. Buet and
S. Cordier Conservative and Entropy Decaying
Numerical Scheme for the Isotropic
Fokker--Planck--Landau Equation . . . . 228--245
L. Machiels and
M. O. Deville Numerical Simulation of Randomly Forced
Turbulent Flows . . . . . . . . . . . . 246--279
J. S. Hesthaven and
L. M. Jameson A Wavelet Optimized Adaptive
Multi-domain Method . . . . . . . . . . 280--296
A. Garba A Mixed Spectral/Wavelet Method for the
Solution of the Stokes Problem . . . . . 297--315
M. Garbey and
D. Tromeur-Dervout A New Parallel Solver for the
Nonperiodic Incompressible
Navier--Stokes Equations with a Fourier
Method: Application to Frontal
Polymerization . . . . . . . . . . . . . 316--331
Krishnan Mahesh A Family of High Order Finite Difference
Schemes with Good Spectral Resolution 332--358
B. Piette and
W. J. Zakrzewski Numerical Integration of $ (2 + 1) $
Dimensional PDEs for $ S^2 $ Valued
Functions . . . . . . . . . . . . . . . 359--381
Sergej Rjasanow and
Thomas Schreiber and
Wolfgang Wagner Reduction of the Number of Particles in
the Stochastic Weighted Particle Method
for the Boltzmann Equation . . . . . . . 382--405
Taro Ueki and
Edward W. Larsen A Kinetic Theory for Nonanalog Monte
Carlo Particle Transport Algorithms:
Exponential Transform with Angular
Biasing in Planar-Geometry
Anisotropically Scattering Media . . . . 406--431
William F. Spotz and
Mark A. Taylor and
Paul N. Swarztrauber Fast Shallow-Water Equation Solvers in
Latitude-Longitude Coordinates . . . . . 432--444
D. Thangaraj and
A. Nathan A Rotated Monotone Difference Scheme for
the Two-Dimensional Anisotropic
Drift-Diffusion Equation . . . . . . . . 445--461
E. Yu Backhaus and
J. Fajans and
J. S. Wurtele Application of Contour Dynamics to
Systems with Cylindrical Boundaries . . 462--468
Anonymous Abstracts of Papers to Appear . . . . . 469--470
Karim Shariff and
Robert D. Moser Two-Dimensional Mesh Embedding for
B-spline Methods . . . . . . . . . . . . 471--488
T. Lou and
D. C. Dahlby and
D. Baganoff A Numerical Study Comparing Kinetic
Flux-Vector Splitting for the
Navier--Stokes Equations with a Particle
Method . . . . . . . . . . . . . . . . . 489--510
Richard Sanders and
Eric Morano and
Marie-Claude Druguet Multidimensional Dissipation for Upwind
Schemes: Stability and Applications to
Gas Dynamics . . . . . . . . . . . . . . 511--537
Giuseppe Gambolati and
Giorgio Pini Complex Solution to Nonideal Contaminant
Transport Through Porous Media . . . . . 538--554
Amala Mahadevan and
David Archer Modeling a Limited Region of the Ocean 555--574
P. Jenny and
B. Müller Rankine--Hugoniot--Riemann Solver
Considering Source Terms and
Multidimensional Effects . . . . . . . . 575--610
Anton Arnold and
Matthias Ehrhardt Discrete Transparent Boundary Conditions
for Wide Angle Parabolic Equations in
Underwater Acoustics . . . . . . . . . . 611--638
K. Nanbu and
S. Yonemura Weighted Particles in Coulomb Collision
Simulations Based on the Theory of a
Cumulative Scattering Angle . . . . . . 639--654
C. F. Weber Convergence of the Equilibrium Code
SOLGASMIX . . . . . . . . . . . . . . . 655--670
Kiyosi Horiuti and
Takao Itami Truncation Error Analysis of the
Rotational Form for the Convective Terms
in the Navier--Stokes Equation . . . . . 671--692
John R. Mansfield and
Omar M. Knio and
Charles Meneveau A Dynamic LES Scheme for the Vorticity
Transport Equation: Formulation and a
Priori Tests . . . . . . . . . . . . . . 693--730
A. Greenbaum and
A. Mayo Rapid Parallel Evaluation of Integrals
in Potential Theory on General
Three-Dimensional Regions . . . . . . . 731--742
Wilhelm Heinrichs Spectral Collocation on Triangular
Elements . . . . . . . . . . . . . . . . 743--757
Robert D. Skeel Comments on ``Numerical Instability due
to Varying Time Steps in Explicit Wave
Propagation and Mechanics Calculations''
by Joseph P. Wright . . . . . . . . . . 758--759
Anonymous Abstracts of Papers to Appear . . . . . 760--761
Anonymous Author Index for Volume 145 . . . . . . 762--762
W. B. VanderHeyden and
B. A. Kashiwa Compatible Fluxes for van Leer Advection 1--28
Yusuf Özyörük and
Lyle N. Long and
Michael G. Jones Time-Domain Numerical Simulation of a
Flow-Impedance Tube . . . . . . . . . . 29--57
R. Donat and
J. A. Font and
J. M. a Ibáñez and
A. Marquina A Flux-Split Algorithm Applied to
Relativistic Flows . . . . . . . . . . . 58--81
Oleg V. Vasilyev and
Thomas S. Lund and
Parviz Moin A General Class of Commutative Filters
for LES in Complex Geometries . . . . . 82--104
Y. L. Zhang and
K. S. Yeo and
B. C. Khoo and
W. K. Chong Three-Dimensional Computation of Bubbles
Near a Free Surface . . . . . . . . . . 105--123
H. Liu and
K. Kawachi A Numerical Study of Insect Flight . . . 124--156
A. Arif Ergin and
Balasubramaniam Shanker and
Eric Michielssen Fast evaluation of three-dimensional
transient wave fields using diagonal
translation operators . . . . . . . . . 157--180
J. C. Greer Monte Carlo Configuration Interaction 181--202
J. Baglama and
D. Calvetti and
L. Reichel and
A. Ruttan Computation of a Few Small Eigenvalues
of a Large Matrix with Application to
Liquid Crystal Modeling . . . . . . . . 203--226
E. J. Caramana and
D. E. Burton and
M. J. Shashkov and
P. P. Whalen The Construction of Compatible
Hydrodynamics Algorithms Utilizing
Conservation of Total Energy . . . . . . 227--262
Chris Morey and
John Scales and
Erik S. Van Vleck A Feedback Algorithm for Determining
Search Parameters for Monte Carlo
Optimization . . . . . . . . . . . . . . 263--281
Xiaoyi He and
Shiyi Chen and
Gary D. Doolen A Novel Thermal Model for the Lattice
Boltzmann Method in Incompressible Limit 282--300
D. Drikakis and
O. P. Iliev and
D. P. Vassileva A Nonlinear Multigrid Method for the
Three-Dimensional Incompressible
Navier--Stokes Equations . . . . . . . . 301--321
P. Gerlinger and
P. Stoll and
D. Brüggemann An Implicit Multigrid Method for the
Simulation of Chemically Reacting Flows 322--345
Randall J. LeVeque Balancing Source Terms and Flux
Gradients in High-Resolution Godunov
Methods: The Quasi-Steady
Wave-Propagation Algorithm . . . . . . . 346--365
Marvin L. Adams and
Paul F. Nowak Asymptotic Analysis of a Computational
Method for Time- and Frequency-Dependent
Radiative Transfer . . . . . . . . . . . 366--403
Bernd Krauskopf and
Hinke Osinga Growing $1$D and Quasi-$2$D Unstable
Manifolds of Maps . . . . . . . . . . . 404--419
M. Hénon and
J-M. Petit Good Rotations . . . . . . . . . . . . . 420--435
Nail K. Yamaleev and
Josef Ballmann Space-Marching Method for Calculating
Steady Supersonic Flows on a Grid
Adapted to the Solution . . . . . . . . 436--463
Jaw-Yen Yang and
Shih-Chang Yang and
Yih-Nan Chen and
Chiang-An Hsu Implicit Weighted ENO Schemes for the
Three-Dimensional Incompressible
Navier--Stokes Equations . . . . . . . . 464--487
Anonymous Abstracts of Papers to Appear . . . . . 488--489
J. Tinsley Oden and
Ivo Babu\vska and
Carlos Erik Baumann A Discontinuous hp Finite Element Method
for Diffusion Problems . . . . . . . . . 491--519
M. Brady and
A. Leonard and
D. I. Pullin Regularized Vortex Sheet Evolution in
Three Dimensions . . . . . . . . . . . . 520--545
D. Ambrosi and
L. Quartapelle A Taylor--Galerkin Method for Simulating
Nonlinear Dispersive Water Waves . . . . 546--569
M. Storti and
J. D'Elía and
S. Idelsohn Algebraic Discrete Nonlocal (DNL)
Absorbing Boundary Condition for the
Ship Wave Resistance Problem . . . . . . 570--602
J. Elschner and
G. Schmidt Numerical Solution of Optimal Design
Problems for Binary Gratings . . . . . . 603--626
Lawrence F. Canino and
John J. Ottusch and
Mark A. Stalzer and
John L. Visher and
Stephen M. Wandzura Numerical Solution of the Helmholtz
Equation in $2$D and $3$D Using a
High-Order Nyström Discretization . . . . 627--663
Hong Luo and
Joseph D. Baum and
Rainald Löhner A Fast, Matrix-free Implicit Method for
Compressible Flows on Unstructured Grids 664--690
Ananias G. Tomboulides and
Steven A. Orzag A Quasi-Two-Dimensional Benchmark
Problem for Low Mach Number Compressible
Codes . . . . . . . . . . . . . . . . . 691--706
Daniele Finocchiaro and
Marco Pellegrini and
Paolo Bientinesi On Numerical Approximation of
Electrostatic Energy in $3$D . . . . . . 707--725
Y. Qiu and
D. M. Sloan Numerical Solution of Fisher's Equation
Using a Moving Mesh Method . . . . . . . 726--746
Baolin Yang and
Peter G. Petropoulos Plane-Wave Analysis and Comparison of
Split-Field, Biaxial, and Uniaxial PML
Methods as ABCs for Pseudospectral
Electromagnetic Wave Simulations in
Curvilinear Coordinates . . . . . . . . 747--774
Anonymous Abstracts of Papers to Appear . . . . . 775--776
Anonymous Author Index for Volume 146 . . . . . . 777--778
A. I. Yaremchuk and
J. Schröter Spectral Analysis of Symmetric
Operators: Application to the Laplace
Tidal Model . . . . . . . . . . . . . . 1--21
Raz Kupferman Simulation of Viscoelastic Fluids:
Couette--Taylor Flow . . . . . . . . . . 22--59
Hans Johansen and
Phillip Colella A Cartesian Grid Embedded Boundary
Method for Poisson's Equation on
Irregular Domains . . . . . . . . . . . 60--85
Dean C. Bottino Modeling Viscoelastic Networks and Cell
Deformation in the Context of the
Immersed Boundary Method . . . . . . . . 86--113
Francis X. Giraldo The Lagrange--Galerkin Spectral Element
Method on Unstructured Quadrilateral
Grids . . . . . . . . . . . . . . . . . 114--146
John M. Stockie and
Sheldon I. Green Simulating the Motion of Flexible Pulp
Fibres Using the Immersed Boundary
Method . . . . . . . . . . . . . . . . . 147--165
S. Burtsev and
R. Camassa and
I. Timofeyev Numerical Algorithms for the Direct
Spectral Transform with Applications to
Nonlinear Schrödinger Type Systems . . . 166--186
Yves Achdou and
O. Pironneau and
F. Valentin Effective Boundary Conditions for
Laminar Flows over Periodic Rough
Boundaries . . . . . . . . . . . . . . . 187--218
Olga Filippova and
Dieter Hänel Grid Refinement for Lattice-BGK Models 219--228
Leonhard Möhring and
Willi Möhring On the Determination of a Velocity Field
with Prescribed Vorticity . . . . . . . 229--235
Anonymous Abstracts of Papers to Appear . . . . . 236--237
F. S. Zaitsev and
V. V. Longinov and
M. R. O'Brien and
R. Tanner Difference Schemes for the Time
Evolution of Three-Dimensional Kinetic
Equations . . . . . . . . . . . . . . . 239--264
M. O. Bristeau and
R. Glowinski and
J. Périaux Controllability Methods for the
Computation of Time-Periodic Solutions:
Application to Scattering . . . . . . . 265--292
Margot Gerritsen and
Pelle Olsson Designing an Efficient Solution Strategy
for Fluid Flows: II. Stable High-Order
Central Finite Difference Schemes on
Composite Adaptive Grids with Sharp
Shock Resolution . . . . . . . . . . . . 293--317
H. R. Strauss and
D. W. Longcope An Adaptive Finite Element Method for
Magnetohydrodynamics . . . . . . . . . . 318--336
R. Prosser and
R. S. Cant On the Use of Wavelets in Computational
Combustion . . . . . . . . . . . . . . . 337--361
Gregory Beylkin and
James M. Keiser and
Lev Vozovoi A New Class of Time Discretization
Schemes for the Solution of Nonlinear
PDEs . . . . . . . . . . . . . . . . . . 362--387
Romeo F. Susan-Resiga and
Hafiz M. Atassi A Domain Decomposition Method for the
Exterior Helmholtz Problem . . . . . . . 388--401
Kayne M. Arthurs and
Leon C. Moore and
Charles S. Peskin and
E. Bruce Pitman and
H. E. Layton Modeling Arteriolar Flow and Mass
Transport Using the Immersed Boundary
Method . . . . . . . . . . . . . . . . . 402--440
Paul T. Dawkins and
Steven R. Dunbar and
Rod W. Douglass The Origin and Nature of Spurious
Eigenvalues in the Spectral Tau Method 441--462
J. Cortes and
A. Debussche and
I. Toumi A Density Perturbation Method to Study
the Eigenstructure of Two-Phase Flow
Equation Systems . . . . . . . . . . . . 463--484
Guanquan Zhang and
Yu Zhang An Iterative Method for the Inversion of
the Two-Dimensional Wave Equation with a
Potential . . . . . . . . . . . . . . . 485--506
S. M. Willemsen and
T. J. H. Vlugt and
H. C. J. Hoefsloot and
B. Smit Combining Dissipative Particle Dynamics
and Monte Carlo Techniques . . . . . . . 507--517
R. C. Swanson and
R. Radespiel and
E. Turkel On Some Numerical Dissipation Schemes 518--544
R. S. Myong and
P. L. Roe On Godunov-Type Schemes for
Magnetohydrodynamics: 1. A Model System 545--567
Razvan Florea and
Kenneth C. Hall Eigenmode Analysis of Unsteady Flows
about Airfoils . . . . . . . . . . . . . 568--593
Norman Yarvin and
Vladimir Rokhlin A generalized one-dimensional fast
multipole method with application to
filtering of spherical harmonics . . . . 594--609
Anonymous Abstracts of Papers to Appear . . . . . 610--611
Anonymous Author Index for Volume 147 . . . . . . 612--612
Anonymous Cumulative Author--Title Index
1993--1998 . . . . . . . . . . . . . . . 613--646
Anonymous Editorial . . . . . . . . . . . . . . . 1--1
D. Adalsteinsson and
J. A. Sethian The Fast Construction of Extension
Velocities in Level Set Methods . . . . 2--22
G. R. Stuhne and
W. R. Peltier New Icosahedral Grid-Point
Discretizations of the Shallow Water
Equations on the Sphere . . . . . . . . 23--58
Philippe Montarnal and
Chi-Wang Shu Real Gas Computation Using an Energy
Relaxation Method and High-Order WENO
Schemes . . . . . . . . . . . . . . . . 59--80
Mark Sussman and
Ann S. Almgren and
John B. Bell and
Phillip Colella and
Louis H. Howell and
Michael L. Welcome An Adaptive Level Set Approach for
Incompressible Two-Phase Flows . . . . . 81--124
Michael F. Pasik and
David B. Seidel and
Raymond W. Lemke A Modified Perfectly Matched Layer
Implementation for Use in
Electromagnetic PIC Codes . . . . . . . 125--132
Dinshaw S. Balsara and
Daniel Spicer Maintaining Pressure Positivity in
Magnetohydrodynamic Simulations . . . . 133--148
R. H. Rietdijk Notes on Big Ray Tracing . . . . . . . . 149--168
H. Chen and
J. S. Marshall A Lagrangian Vorticity Method for
Two-Phase Particulate Flows with Two-Way
Phase Coupling . . . . . . . . . . . . . 169--198
Jonathan H. C. Luke A Finite Difference Method for
Dispersive Linear Waves with
Applications to Simulating Microwave
Pulses in Water . . . . . . . . . . . . 199--226
Paul W. Cleary and
Joseph J. Monaghan Conduction Modelling Using Smoothed
Particle Hydrodynamics . . . . . . . . . 227--264
Nikolas Provatas and
Nigel Goldenfeld and
Jonathan Dantzig Adaptive Mesh Refinement Computation of
Solidification Microstructures Using
Dynamic Data Structures . . . . . . . . 265--290
Jochen Göttelmann A Spline Collocation Scheme for the
Spherical Shallow Water Equations . . . 291--298
Nigel T. Bishop and
Roberto Gómez and
Paulo R. Holvorcem and
Richard A. Matzner and
Philippos Papadopoulos and
Jeffrey Winicour Cauchy-Characteristic Evolution and
Waveforms: Volume 136, No. 1 (1997),
pages 140--167 . . . . . . . . . . . . . 299--301
Anonymous Abstracts of Papers to Appear . . . . . 302--303
T. E. Simos P-stable Exponentially Fitted Methods
for the Numerical Integration of the
Schrödinger Equation . . . . . . . . . . 305--321
Stephen. A. Jordan A Large-Eddy Simulation Methodology in
Generalized Curvilinear Coordinates . . 322--340
Mark H. Carpenter and
Jan Nordström and
David Gottlieb A Stable and Conservative Interface
Treatment of Arbitrary Spatial Accuracy 341--365
B. T. Helenbrook and
L. Martinelli and
C. K. Law A Numerical Method for Solving
Incompressible Flow Problems with a
Surface of Discontinuity . . . . . . . . 366--396
Qianshun Chang and
Erhui Jia and
W. Sun Difference Schemes for Solving the
Generalized Nonlinear Schrödinger
Equation . . . . . . . . . . . . . . . . 397--415
Axel Klar Relaxation Scheme for a
Lattice-Boltzmann-type Discrete Velocity
Model and Numerical Navier--Stokes Limit 416--432
Jeffrey Grandy Conservative Remapping and Region
Overlays by Intersecting Arbitrary
Polyhedra . . . . . . . . . . . . . . . 433--466
Ramon Codina Numerical Solution of the Incompressible
Navier--Stokes Equations with Coriolis
Forces Based on the Discretization of
the Total Time Derivative . . . . . . . 467--496
María Elena Vázquez-Cendón Improved Treatment of Source Terms in
Upwind Schemes for the Shallow Water
Equations in Channels with Irregular
Geometry . . . . . . . . . . . . . . . . 497--526
Shalva Tzivion and
Tamir G. Reisin and
Zev Levin A Numerical Solution of the Kinetic
Collection Equation Using High Spectral
Grid Resolution: a Proposed Reference 527--544
Ronald P. Fedkiw and
Antonio Marquina and
Barry Merriman An Isobaric Fix for the Overheating
Problem in Multimaterial Compressible
Flows . . . . . . . . . . . . . . . . . 545--578
Robert L. Higdon Implementation of a
Barotropic-Baroclinic Time Splitting for
Isopycnic Coordinate Ocean Modeling . . 579--604
G. E. Georghiou and
R. Morrow and
A. C. Metaxas An Improved Finite-Element
Flux-Corrected Transport Algorithm . . . 605--620
Jan Nordström and
Mark H. Carpenter Boundary and Interface Conditions for
High-Order Finite-Difference Methods
Applied to the Euler and Navier--Stokes
Equations . . . . . . . . . . . . . . . 621--645
King-Wai Chu and
Yuefan Deng and
John Reinitz Parallel Simulated Annealing by Mixing
of States . . . . . . . . . . . . . . . 646--662
Peter C. Chu and
Chenwu Fan A Three-Point Sixth-Order Nonuniform
Combined Compact Difference Scheme . . . 663--674
Anonymous Abstracts of Papers to Appear . . . . . 675--676
Anonymous Author Index for Volume 148 . . . . . . 677--677
F. H. Lyard Data Assimilation in a Wave Equation: a
Variational Representer Approach for the
Grenoble Tidal Model . . . . . . . . . . 1--31
James Trujillo and
George Em Karniadakis A Penalty Method for the
Vorticity-Velocity Formulation . . . . . 32--58
Luis Lehner A Dissipative Algorithm for Wave-like
Equations in the Characteristic
Formulation . . . . . . . . . . . . . . 59--74
Jean-Luc Fattebert Finite Difference Schemes and Block
Rayleigh Quotient Iteration for
Electronic Structure Calculations on
Composite Grids . . . . . . . . . . . . 75--94
Marc A. Rieffel A Method for Estimating the
Computational Requirements of DSMC
Simulations . . . . . . . . . . . . . . 95--113
Giri Chukkapalli and
Steve R. Karpik and
C. Ross Ethier A Scheme for Generating Unstructured
Grids on Spheres with Application to
Parallel Computation . . . . . . . . . . 114--127
Isabel Beichl and
Francis Sullivan Approximating the Permanent via
Importance Sampling with Application to
the Dimer Covering Problem . . . . . . . 128--147
Anis Younes and
Robert Mose and
Philippe Ackerer and
Guy Chavent A New Formulation of the Mixed Finite
Element Method for Solving Elliptic and
Parabolic PDE with Triangular Elements 148--167
Phillip Colella and
Milo R. Dorr and
Daniel D. Wake A Conservative Finite Difference Method
for the Numerical Solution of Plasma
Fluid Equations . . . . . . . . . . . . 168--193
M. J. Jamieson On an Eighth Order Formula for Solving a
Schrödinger Equation . . . . . . . . . . 194--197
Anonymous Abstracts of Papers to Appear . . . . . 198--199
Eric Sonnendrücker and
Jean Roche and
Pierre Bertrand and
Alain Ghizzo The Semi-Lagrangian Method for the
Numerical Resolution of the Vlasov
Equation . . . . . . . . . . . . . . . . 201--220
Weiming Cao and
Weizhang Huang and
Robert D. Russell An $r$-Adaptive Finite Element Method
Based upon Moving Mesh PDEs . . . . . . 221--244
Phillip Colella and
Karen Pao A Projection Method for Low Speed Flows 245--269
Dinshaw S. Balsara and
Daniel S. Spicer A Staggered Mesh Algorithm Using High
Order Godunov Fluxes to Ensure
Solenoidal Magnetic Fields in
Magnetohydrodynamic Simulations . . . . 270--292
Thomas M. Roberts Time-Domain Deconvolution Removes the
Effects of Near-Field Scatterers . . . . 293--305
F. Auteri and
L. Quartapelle Galerkin Spectral Method for the
Vorticity and Stream Function Equations 306--332
P. Wesseling and
A. Segal and
C. G. M. Kassels Computing Flows on General
Three-Dimensional Nonsmooth Staggered
Grids . . . . . . . . . . . . . . . . . 333--362
David C. Dobson An Efficient Method for Band Structure
Calculations in $2$D Photonic Crystals 363--376
D. A. Knoll and
G. Lapenta and
J. U. Brackbill A Multilevel Iterative Field Solver for
Implicit, Kinetic, Plasma Simulation . . 377--388
Len Margolin and
Mikhail Shashkov Using a Curvilinear Grid to Construct
Symmetry-Preserving Discretizations for
Lagrangian Gas Dynamics . . . . . . . . 389--417
F. Nicoud Defining Wave Amplitude in
Characteristic Boundary Conditions . . . 418--422
Anonymous Abstracts of Papers to Appear . . . . . 423--424
Anonymous Author Index for Volume 149 . . . . . . 425--425
U. Lange and
K. Nandakumar and
H. Raszillier Symbolic Computation as a Tool for
High-Order Long-Wave Stability Analysis
of Thin Film Flows with Coupled
Transport Processes . . . . . . . . . . 1--16
Mingde Su and
Kun Xu and
M. S. Ghidaoui Low-Speed Flow Simulation by the
Gas-Kinetic Scheme . . . . . . . . . . . 17--39
Marcelo H. Kobayashi and
José M. C. Pereira and
José C. F. Pereira A Conservative Finite-Volume
Second-Order-Accurate Projection Method
on Hybrid Unstructured Grids . . . . . . 40--75
Helge Holden and
Knut-Andreas Lie and
Nils Henrik Risebro An Unconditionally Stable Method for the
Euler Equations . . . . . . . . . . . . 76--96
Changqing Hu and
Chi-Wang Shu Weighted Essentially Non-oscillatory
Schemes on Triangular Meshes . . . . . . 97--127
Juhua Zhang and
Zhuping Duan and
Jing Ding Simulating Shock to Detonation
Transition: Algorithm and Results . . . 128--142
M. Sun and
K. Takayama Conservative Smoothing on an Adaptive
Quadrilateral Grid . . . . . . . . . . . 143--180
L. Leboucher Monotone Scheme and Boundary Conditions
for Finite Volume Simulation of
Magnetohydrodynamic Internal Flows at
High Hartmann Number . . . . . . . . . . 181--198
H. C. Yee and
N. D. Sandham and
M. J. Djomehri Low-Dissipative High-Order
Shock-Capturing Methods Using
Characteristic-Based Filters . . . . . . 199--238
Karthik Balakrishnan and
Palghat A. Ramachandran A Particular Solution Trefftz Method for
Non-linear Poisson Problems in Heat and
Mass Transfer . . . . . . . . . . . . . 239--267
Richard W. Smith AUSM(ALE): a Geometrically Conservative
Arbitrary Lagrangian--Eulerian Flux
Splitting Scheme . . . . . . . . . . . . 268--286
Bernd G. Pfrommer and
James Demmel and
Horst Simon Unconstrained Energy Functionals for
Electronic Structure Calculations . . . 287--298
Anonymous Abstracts of Papers to Appear . . . . . 299--300
J. U. Brackbill ANNOUNCEMENT . . . . . . . . . . . . . . 301--301
Thomas Y. Hou and
Phoebus Rosakis and
Philippe LeFloch A Level-Set Approach to the Computation
of Twinning and Phase-Transition
Dynamics . . . . . . . . . . . . . . . . 302--331
David Place and
Peter Mora The Lattice Solid Model to Simulate the
Physics of Rocks and Earthquakes:
Incorporation of Friction . . . . . . . 332--372
P. F. Peyrard and
P. Villedieu A Roe Scheme for Ideal MHD Equations on
$2$D Adaptively Refined Triangular Grids 373--393
A. Averbuch and
M. Israeli and
L. Vozovoi Solution of Time-Dependent Diffusion
Equations with Variable Coefficients
Using Multiwavelets . . . . . . . . . . 394--424
Richard Saurel and
Rémi Abgrall A Multiphase Godunov Method for
Compressible Multifluid and Multiphase
Flows . . . . . . . . . . . . . . . . . 425--467
Waldemar Axmann and
Peter Kuchment An Efficient Finite Element Method for
Computing Spectra of Photonic and
Acoustic Band-Gap Materials: I. Scalar
Case . . . . . . . . . . . . . . . . . . 468--481
D. Kandhai and
A. Koponen and
A. Hoekstra and
M. Kataja and
J. Timonen and
P. M. A. Sloot Implementation Aspects of $3$D
Lattice-BGK: Boundaries, Accuracy, and a
New Fast Relaxation Method . . . . . . . 482--501
Mikhail Shashkov and
Burton Wendroff A Composite Scheme for Gas Dynamics in
Lagrangian Coordinates . . . . . . . . . 502--517
Wen Zhong Shen and
Jens Nòrkær Sòrensen Quasi-$3$D Navier--Stokes Model for a
Rotating Airfoil . . . . . . . . . . . . 518--548
Petr Kloucek and
Frank R. Toffoletto The Three Dimensional Non-conforming
Finite Element Solution of the
Chapman--Ferraro Problem . . . . . . . . 549--560
Guang-Shan Jiang and
Cheng-chin Wu A High-Order WENO Finite Difference
Scheme for the Equations of Ideal
Magnetohydrodynamics . . . . . . . . . . 561--594
Anonymous Abstracts of Papers to Appear in Special
Issue on Computational Molecular
Biophysics . . . . . . . . . . . . . . . 595--596
Anonymous Author Index for Volume 150 . . . . . . 597--597
Tamar Schlick Computational Molecular Biophysics
Today: a Confluence of Methodological
Advances and Complex Biomolecular
Applications . . . . . . . . . . . . . . 1--8
Tamar Schlick and
Robert D. Skeel and
Axel T. Brunger and
Laxmikant V. Kalé and
John A. Board, Jr. and
Jan Hermans and
Klaus Schulten Algorithmic Challenges in Computational
Molecular Biophysics . . . . . . . . . . 9--48
Sebastian Reich Multiple Time Scales in Classical and
Quantum-Classical Molecular Dynamics . . 49--73
Adrian Sandu and
Tamar Schlick Masking Resonance Artifacts in
Force-Splitting Methods for Biomolecular
Simulations by Extrapolative Langevin
Dynamics . . . . . . . . . . . . . . . . 74--113
Stephen D. Bond and
Benedict J. Leimkuhler and
Brian B. Laird The Nosé--Poincaré Method for Constant
Temperature Molecular Dynamics . . . . . 114--134
Gillian C. Lynch and
John S. Perkyns and
B. Montgomery Pettitt Kirkwood--Buff Thermodynamics Derived
from Grand Canonical Molecular Dynamics
and DRISM Calculations . . . . . . . . . 135--145
Ch Schütte and
A. Fischer and
W. Huisinga and
P. Deuflhard A Direct Approach to Conformational
Dynamics Based on Hybrid Monte Carlo . . 146--168
Pnina Dauber-Osguthorpe and
David J. Osguthorpe and
Peter S. Stern and
John Moult Low Frequency Motion in Proteins:
Comparison of Normal Mode and Molecular
Dynamics of Streptomyces Griseus
Protease A . . . . . . . . . . . . . . . 169--189
Justin R. Gullingsrud and
Rosemary Braun and
Klaus Schulten Reconstructing Potentials of Mean Force
through Time Series Analysis of Steered
Molecular Dynamics Simulations . . . . . 190--211
Alexander H. Boschitsch and
Marcia O. Fenley and
Wilma K. Olson A Fast Adaptive Multipole Algorithm for
Calculating Screened Coulomb (Yukawa)
Interactions . . . . . . . . . . . . . . 212--241
James P. Lewis and
Shubin Liu and
Tai-Sung Lee and
Weitao Yang A Linear-Scaling Quantum Mechanical
Investigation of Cytidine Deaminase . . 242--263
Gary A. Huber and
J. Andrew McCammon OOMPAA-Object-Oriented Model for Probing
Assemblages of Atoms . . . . . . . . . . 264--282
Laxmikant Kalé and
Robert Skeel and
Milind Bhandarkar and
Robert Brunner and
Attila Gursoy and
Neal Krawetz and
James Phillips and
Aritomo Shinozaki and
Krishnan Varadarajan and
Klaus Schulten NAMD2: Greater Scalability for Parallel
Molecular Dynamics . . . . . . . . . . . 283--312
S. Broyde and
B. E. Hingerty Effective Computational Strategies for
Determining Structures of
Carcinogen-Damaged DNA . . . . . . . . . 313--332
B. Jayaram and
K. J. McConnell and
Surjit B. Dixit and
D. L. Beveridge Free Energy Analysis of Protein--DNA
Binding: The EcoRI Endonuclease--DNA
Complex . . . . . . . . . . . . . . . . 333--357
Tap Ha Duong and
Ernest L. Mehler and
Harel Weinstein Molecular Dynamics Simulation of
Membranes and a Transmembrane Helix . . 358--387
Roberto Sánchez and
Andrej Sali Comparative Protein Structure Modeling
in Genomics . . . . . . . . . . . . . . 388--401
Ruben A. Abagyan and
Maxim Totrov Ab Initio Folding of Peptides by the
Optimal-Bias Monte Carlo Minimization
Procedure . . . . . . . . . . . . . . . 402--421
Anonymous Abstracts of Papers to Appear . . . . . 422--423
Ben R. Hodges and
Robert L. Street On Simulation of Turbulent Nonlinear
Free-Surface Flows . . . . . . . . . . . 425--457
M. L. Bégué and
A. Ghizzo and
P. Bertrand Two-Dimensional Vlasov Simulation of
Raman Scattering and Plasma Beatwave
Acceleration on Parallel Computers . . . 458--478
Z. Jiang and
K. Takayama An Investigation into the Validation of
Numerical Solutions of Complex
Flowfields . . . . . . . . . . . . . . . 479--497
John Strain Semi-Lagrangian Methods for Level Set
Equations . . . . . . . . . . . . . . . 498--533
M. S. Carvalho and
L. E. Scriven Three-Dimensional Stability Analysis of
Free Surface Flows: Application to
Forward Deformable Roll Coating . . . . 534--562
M. Manna and
A. Vacca An Efficient Method for the Solution of
the Incompressible Navier--Stokes
Equations in Cylindrical Geometries . . 563--584
M. Spivack and
D. E. Reeve Recovery of a Variable Coefficient in a
Coastal Evolution Equation . . . . . . . 585--596
Jörn Sesterhenn and
Bernhard Müller and
Hans Thomann On the Cancellation Problem in
Calculating Compressible Low Mach Number
Flows . . . . . . . . . . . . . . . . . 597--615
John Strain Tree Methods for Moving Interfaces . . . 616--648
Nien-Tzu Wang and
Aaron L. Fogelson Computational Methods for Continuum
Models of Platelet Aggregation . . . . . 649--675
Emmanuel Dormy An Accurate Compact Treatment of
Pressure for Colocated Variables . . . . 676--683
Beth Anne V. Bennett and
Mitchell D. Smooke Local Rectangular Refinement with
Application to Nonreacting and Reacting
Fluid Flow Problems . . . . . . . . . . 684--727
D. L. Darmofal and
K. Siu A Robust Multigrid Algorithm for the
Euler Equations with Local
Preconditioning and Semi-coarsening . . 728--756
Arthur G. Kravchenko and
Parviz Moin and
Karim Shariff B-Spline Method and Zonal Grids for
Simulations of Complex Turbulent Flows 757--789
H. S. Tang and
F. Sotiropoulos A Second-Order Godunov Method for Wave
Problems in Coupled Solid-Water-Gas
Systems . . . . . . . . . . . . . . . . 790--815
Neil R. S. Simons and
Greg E. Bridges and
Michel Cuhaci A Lattice Gas Automaton Capable of
Modeling Three-Dimensional
Electromagnetic Fields . . . . . . . . . 816--835
Steven J. Ruuth and
Barry Merriman and
Stanley Osher Convolution-Generated Motion as a Link
between Cellular Automata and Continuum
Pattern Dynamics . . . . . . . . . . . . 836--861
Ernesto G. Birgin and
Ivan Chambouleyron and
José Mario Martínez Estimation of the Optical Constants and
the Thickness of Thin Films Using
Unconstrained Optimization . . . . . . . 862--880
James M. Hyman and
Mikhail Shashkov Mimetic Discretizations for Maxwell's
Equations . . . . . . . . . . . . . . . 881--909
Junichiro Makino Yet another fast multipole method
without multipoles---pseudoparticle
multipole method . . . . . . . . . . . . 910--920
Fang Q. Hu and
M. Y. Hussaini and
Patrick Rasetarinera An Analysis of the Discontinuous
Galerkin Method for Wave Propagation
Problems . . . . . . . . . . . . . . . . 921--946
Michael Junk Kinetic Schemes in the Case of Low Mach
Numbers . . . . . . . . . . . . . . . . 947--968
James Q. Feng Application of Galerkin Finite-Element
Method with Newton Iterations in
Computing Steady-State Solutions of
Unipolar Charge Currents in Corona
Devices . . . . . . . . . . . . . . . . 969--989
G. Brun and
J.-M Hérard and
D. Jeandel and
M. Uhlmann An Approximate Riemann Solver for
Second-Moment Closures . . . . . . . . . 990--996
D. Gottlieb and
E. Turkel and
S. Abarbanel Analysis of the Error for Approximations
to Systems of Hyperbolic Equations . . . 997--1007
Anonymous Abstracts of Papers to Appear . . . . . 1008--1009
Anonymous Author Index for Volume 151 . . . . . . 1010--1010
E. Rivoalen and
S. Huberson Numerical Simulation of Axisymmetric
Viscous Flows by Means of a Particle
Method . . . . . . . . . . . . . . . . . 1--31
Gregory Beylkin and
Nicholas Coult and
Martin J. Mohlenkamp Fast Spectral Projection Algorithms for
Density-Matrix Computations . . . . . . 32--54
C. W. Lan and
M. C. Liang Multigrid Methods for Incompressible
Heat Flow Problems with an Unknown
Interface . . . . . . . . . . . . . . . 55--77
R. F. Kunz and
W. K. Cope and
S. Venkateswaran Development of an Implicit Method for
Multi-fluid Flow Simulations . . . . . . 78--101
Q. Spreiter and
M. Walter Classical Molecular Dynamics Simulation
with the Velocity Verlet Algorithm at
Strong External Magnetic Fields . . . . 102--119
Hong Wang and
Richard E. Ewing and
Guan Qin and
Stephen L. Lyons and
Mohamed Al-Lawatia and
Shushuang Man A Family of Eulerian--Lagrangian
Localized Adjoint Methods for
Multi-dimensional Advection-Reaction
Equations . . . . . . . . . . . . . . . 120--163
William J. Rider and
Dana A. Knoll and
Gordon L. Olson A Multigrid Newton--Krylov Method for
Multimaterial Equilibrium Radiation
Diffusion . . . . . . . . . . . . . . . 164--191
J. Xu and
S. B. Pope Assessment of Numerical Accuracy of
PDF/Monte Carlo Methods for Turbulent
Reacting Flows . . . . . . . . . . . . . 192--230
Ya Yan Lu One-Way Large Range Step Methods for
Helmholtz Waveguides . . . . . . . . . . 231--250
C. E. Siewert A Discrete-Ordinates Solution for Heat
Transfer in a Plane Channel . . . . . . 251--263
Arnold D. Kim and
Akira Ishimaru A Chebyshev Spectral Method for
Radiative Transfer Equations Applied to
Electromagnetic Wave Propagation and
Scattering in a Discrete Random Medium 264--280
Zhilin Li and
Hongkai Zhao and
Huajian Gao A Numerical Study of Electro-migration
Voiding by Evolving Level Set Functions
on a Fixed Cartesian Grid . . . . . . . 281--304
John R. Mansfield and
Omar M. Knio and
Charles Meneveau Dynamic LES of Colliding Vortex Rings
Using a $3$D Vortex Method . . . . . . . 305--345
Roberto Lionello and
Zoran Miki\'c and
Jon A. Linker Stability of Algorithms for Waves with
Large Flows . . . . . . . . . . . . . . 346--358
Y. Y. Azmy Iterative Convergence Acceleration of
Neutral Particle Transport Methods via
Adjacent-Cell Preconditioners . . . . . 359--384
C. Vuik and
A. Segal and
J. A. Meijerink An Efficient Preconditioned CG Method
for the Solution of a Class of Layered
Problems with Extreme Contrasts in the
Coefficients . . . . . . . . . . . . . . 385--403
J. L. Mead and
R. A. Renaut Optimal Runge--Kutta Methods for First
Order Pseudospectral Operators . . . . . 404--419
Anonymous Abstracts of Papers to Appear . . . . . 420--421
Denis Gueyffier and
Jie Li and
Ali Nadim and
Ruben Scardovelli and
Stéphane Zaleski Volume-of-Fluid Interface Tracking with
Smoothed Surface Stress Methods for
Three-Dimensional Flows . . . . . . . . 423--456
Ronald P. Fedkiw and
Tariq Aslam and
Barry Merriman and
Stanley Osher A Non-oscillatory Eulerian Approach to
Interfaces in Multimaterial Flows (the
Ghost Fluid Method) . . . . . . . . . . 457--492
Sauro Succi and
Hudong Chen and
Chris Teixeira and
Gino Bella and
A. De Maio and
Kim Molvig An Integer Lattice Realization of a Lax
Scheme for Transport Processes in
Multiple Component Fluid Flows . . . . . 493--516
F. Ducros and
V. Ferrand and
F. Nicoud and
C. Weber and
D. Darracq and
C. Gacherieu and
T. Poinsot Large-Eddy Simulation of the
Shock/Turbulence Interaction . . . . . . 517--549
Phillip Colella and
Milo R. Dorr and
Daniel D. Wake Numerical Solution of Plasma Fluid
Equations Using Locally Refined Grids 550--583
Sharen J. Cummins and
Murray Rudman An SPH Projection Method . . . . . . . . 584--607
T. C. Warburton and
G. E. Karniadakis A Discontinuous Galerkin Method for the
Viscous MHD Equations . . . . . . . . . 608--641
Xiaoyi He and
Shiyi Chen and
Raoyang Zhang A Lattice Boltzmann Scheme for
Incompressible Multiphase Flow and Its
Application in Simulation of
Rayleigh--Taylor Instability . . . . . . 642--663
John Strain Fast Tree-Based Redistancing for Level
Set Computations . . . . . . . . . . . . 664--686
James C. Lombardi, Jr. and
Alison Sills and
Frederic A. Rasio and
Stuart L. Shapiro Tests of Spurious Transport in Smoothed
Particle Hydrodynamics . . . . . . . . . 687--735
Raffaele Albanese and
Guglielmo Rubinacci and
Fabio Villone An Integral Computational Model for
Crack Simulation and Detection via Eddy
Currents . . . . . . . . . . . . . . . . 736--755
Chris J. Budd and
Shaohua Chen and
Robert D. Russell New Self-Similar Solutions of the
Nonlinear Schrödinger Equation with
Moving Mesh Computations . . . . . . . . 756--789
William J. Rider and
Dana A. Knoll Time Step Size Selection for Radiation
Diffusion Calculations . . . . . . . . . 790--795
Anonymous Abstracts of Papers to Appear . . . . . 796--797
Anonymous Author Index for Volume 152 . . . . . . 798--798
Bram Van Leer An Introduction to the Article
``Reminiscences about Difference
Schemes'' by S. K. Godunov . . . . . . . 1--5
Sergei Konstantinovich Godunov Reminiscences about Difference Schemes 6--25
O. Ubbink and
R. I. Issa A Method for Capturing Sharp Fluid
Interfaces on Arbitrary Meshes . . . . . 26--50
Weijia Kuang and
Jeremy Bloxham Numerical Modeling of
Magnetohydrodynamic Convection in a
Rapidly Rotating Spherical Shell: Weak
and Strong Field Dynamo Action . . . . . 51--81
M. Elghaoui and
R. Pasquetti Mixed Spectral-Boundary Element
Embedding Algorithms for the
Navier--Stokes Equations in the
Vorticity-Stream Function Formulation 82--100
Duarte Borba and
Wolfgang Kerner CASTOR--K: Stability Analysis of Alfvén
Eigenmodes in the Presence of Energetic
Ions in Tokamaks . . . . . . . . . . . . 101--138
J. Winterhalter and
D. G. Ebling and
D. Maier and
J. Honerkamp Analysis of Admittance Data: Comparison
of a Parametric and a Nonparametric
Method . . . . . . . . . . . . . . . . . 139--159
R. A. Gonzales and
S.-Y. Kang and
I. Koltracht and
G. Rawitscher Integral Equation Method for Coupled
Schrödinger Equations . . . . . . . . . . 160--202
Helge Holden and
Kenneth Hvistendahl Karlsen and
Nils Henrik Risebro Operator Splitting Methods for
Generalized Korteweg--de Vries Equations 203--222
Anonymous Abstracts of Papers to Appear . . . . . 223--224
Karen Drukker Basics of Surface Hopping in Mixed
Quantum/Classical Simulations . . . . . 225--272
Eric Garnier and
Michele Mossi and
Pierre Sagaut and
Pierre Comte and
Michel Deville On the Use of Shock-Capturing Schemes
for Large-Eddy Simulation . . . . . . . 273--311
J. S. Shang High-Order Compact-Difference Schemes
for Time-Dependent Maxwell Equations . . 312--333
Kun Xu Gas-Kinetic Theory-Based Flux Splitting
Method for Ideal Magnetohydrodynamics 334--352
William A. Wood and
William L. Kleb Diffusion Characteristics of Finite
Volume and Fluctuation Splitting Schemes 353--377
J. Szumbarski and
J. M. Floryan A Direct Spectral Method for
Determination of Flows over Corrugated
Boundaries . . . . . . . . . . . . . . . 378--402
João Teixeira Stable Schemes for Partial Differential
Equations: The One-Dimensional Diffusion
Equation . . . . . . . . . . . . . . . . 403--417
A. F. Bennett and
B. S. Chua Open Boundary Conditions for Lagrangian
Geophysical Fluid Dynamics . . . . . . . 418--436
Necdet Aslan MHD--A: a Fluctuation Splitting Wave
Model for Planar Magnetohydrodynamics 437--466
B.-F Feng and
T. Kawahara and
T. Mitsui A Conservative Spectral Method for
Several Two-Dimensional Nonlinear Wave
Equations . . . . . . . . . . . . . . . 467--487
G. Korniss and
M. A. Novotny and
P. A. Rikvold Parallelization of a Dynamic Monte Carlo
Algorithm: a Partially Rejection-Free
Conservative Approach . . . . . . . . . 488--508
Alexandre M. Roma and
Charles S. Peskin and
Marsha J. Berger An Adaptive Version of the Immersed
Boundary Method . . . . . . . . . . . . 509--534
H. S. Udaykumar and
R. Mittal and
Wei Shyy Computation of Solid-Liquid Phase Fronts
in the Sharp Interface Limit on Fixed
Grids . . . . . . . . . . . . . . . . . 535--574
Song-Hyo Bae and
Richard T. Lahey, Jr. On the Use of Nonlinear Filtering,
Artificial Viscosity, and Artificial
Heat Transfer for Strong Shock
Computations . . . . . . . . . . . . . . 575--595
W. H. Hui and
P. Y. Li and
Z. W. Li A Unified Coordinate System for Solving
the Two-Dimensional Euler Equations . . 596--637
L. Umlauf and
Y. Wang and
K. Hutter Comparing Two Topography-Following
Primitive Equation Models for Lake
Circulation . . . . . . . . . . . . . . 638--659
S. Armfield and
R. Street The Fractional-Step Method for the
Navier--Stokes Equations on Staggered
Grids: The Accuracy of Three Variations 660--665
Z. Jane Wang Efficient Implementation of the Exact
Numerical Far Field Boundary Condition
for Poisson Equation on an Infinite
Domain . . . . . . . . . . . . . . . . . 666--670
Dinshaw S. Balsara and
Daniel S. Spicer A Staggered Mesh Algorithm Using High
Order Godunov Fluxes to Ensure
Solenoidal Magnetic Fields in
Magnetohydrodynamic Simulations: Volume
149, Number 1 (1999), pages 270--292 . . 671--671
Anonymous Abstracts of Papers to Appear . . . . . 672--673
Anonymous Author Index for Volume 153 . . . . . . 674--674
Chuck Baldwin and
Peter N. Brown and
Robert Falgout and
Frank Graziani and
Jim Jones Iterative Linear Solvers in a $2$D
Radiation-Hydrodynamics Code: Methods
and Performance . . . . . . . . . . . . 1--40
John M. Stockie and
Brian R. Wetton Analysis of Stiffness in the Immersed
Boundary Method and Implications for
Time-Stepping Schemes . . . . . . . . . 41--64
Fabienne Bezard and
Bruno Després An Entropic Solver for Ideal Lagrangian
Magnetohydrodynamics . . . . . . . . . . 65--89
Lorenzo Pareschi and
Russel E. Caflisch An Implicit Monte Carlo Method for
Rarefied Gas Dynamics: I. The Space
Homogeneous Case . . . . . . . . . . . . 90--116
Andrew W. Cook A Consistent Approach to Large Eddy
Simulation Using Adaptive Mesh
Refinement . . . . . . . . . . . . . . . 117--133
Alejandro L. Garcia and
John B. Bell and
William Y. Crutchfield and
Berni J. Alder Adaptive Mesh and Algorithm Refinement
Using Direct Simulation Monte Carlo . . 134--155
K. Wu and
A. Canning and
H. D. Simon and
L.-W Wang Thick-Restart Lanczos Method for
Electronic Structure Calculations . . . 156--173
O. A. Druzhinin and
S. E. Elghobashi A Lagrangian--Eulerian Mapping Solver
for Direct Numerical Simulation of
Bubble-Laden Turbulent Shear Flows Using
the Two-Fluid Formulation . . . . . . . 174--196
Barna L. Bihari and
Donald Schwendeman Multiresolution Schemes for the Reactive
Euler Equations . . . . . . . . . . . . 197--230
Alberto Alvarez and
Cheng-Ching Wang and
Zhen Ye A Numerical Algorithm of the Multiple
Scattering from an Ensemble of Arbitrary
Scatterers . . . . . . . . . . . . . . . 231--236
Blair Swartz Good Neighborhoods for Multidimensional
Van Leer Limiting . . . . . . . . . . . 237--241
Anonymous Abstracts of Papers to Appear . . . . . 242--243
Nicolas G. Hadjiconstantinou Hybrid Atomistic-Continuum Formulations
and the Moving Contact-Line Problem . . 245--265
S. Abarbanel and
D. Gottlieb and
J. S. Hesthaven Well-posed Perfectly Matched Layers for
Advective Acoustics . . . . . . . . . . 266--283
Kenneth G. Powell and
Philip L. Roe and
Timur J. Linde and
Tamas I. Gombosi and
Darren L. De Zeeuw A Solution-Adaptive Upwind Scheme for
Ideal Magnetohydrodynamics . . . . . . . 284--309
Jan Vierendeels and
Kris Riemslagh and
Erik Dick A Multigrid Semi-implicit Line-Method
for Viscous Incompressible and
Low-Mach-Number Flows on High Aspect
Ratio Grids . . . . . . . . . . . . . . 310--341
Metin Muradoglu and
Patrick Jenny and
Stephen B. Pope and
David A. Caughey A Consistent Hybrid
Finite-Volume/Particle Method for the
PDF Equations of Turbulent Reactive
Flows . . . . . . . . . . . . . . . . . 342--371
N. A. Malamataris and
V. Bontozoglou Computer Aided Analysis of Viscous Film
Flow along an Inclined Wavy Wall . . . . 372--392
Ronald P. Fedkiw and
Tariq Aslam and
Shaojie Xu The Ghost Fluid Method for Deflagration
and Detonation Discontinuities . . . . . 393--427
Omar M. Knio and
Habib N. Najm and
Peter S. Wyckoff A Semi-implicit Numerical Scheme for
Reacting Flow: II. Stiff, Operator-Split
Formulation . . . . . . . . . . . . . . 428--467
C. Beckermann and
H.-J Diepers and
I. Steinbach and
A. Karma and
X. Tong Modeling Melt Convection in Phase-Field
Simulations of Solidification . . . . . 468--496
P. J. Zwart and
G. D. Raithby and
M. J. Raw The Integrated Space--time Finite Volume
Method and Its Application to Moving
Boundary Problems . . . . . . . . . . . 497--519
José M. Carcione and
Hans B. Helle Numerical Solution of the
Poroviscoelastic Wave Equation on a
Staggered Mesh . . . . . . . . . . . . . 520--527
Anonymous Abstracts of Papers to Appear . . . . . 528--529
Anonymous Author Index for Volume 154 . . . . . . 530--530
Lars Popken and
Paul W. Cleary Comparison of Kinetic Theory and
Discrete Element Schemes for Modelling
Granular Couette Flows . . . . . . . . . 1--25
Iain Robertson and
Spencer Sherwin Free-Surface Flow Simulation Using
hp/Spectral Elements . . . . . . . . . . 26--53
M. E. Hubbard Multidimensional Slope Limiters for
MUSCL-Type Finite Volume Schemes on
Unstructured Grids . . . . . . . . . . . 54--74
David K. Han and
Andrea Prosperetti A Shape Decomposition Technique in
Electrical Impedance Tomography . . . . 75--95
David Jacqmin Calculation of Two-Phase Navier--Stokes
Flows Using Phase-Field Modeling . . . . 96--127
I. Lomtev and
R. M. Kirby and
G. E. Karniadakis A Discontinuous Galerkin ALE Method for
Compressible Viscous Flows in Moving
Domains . . . . . . . . . . . . . . . . 128--159
H. V. Ly and
F. Reitich and
M. R. Jolly and
H. T. Banks and
K. Ito Simulations of particle dynamics in
magnetorheological fluids . . . . . . . 160--177
Michael Junk and
S. V. Raghurama Rao A New Discrete Velocity Method for
Navier--Stokes Equations . . . . . . . . 178--198
Jérémie Gressier and
Philippe Villedieu and
Jean-Marc Moschetta Positivity of Flux Vector Splitting
Schemes . . . . . . . . . . . . . . . . 199--220
Anonymous Abstracts of Papers to Appear . . . . . 221--222
H. Liu and
K. Kawachi A Numerical Study of Undulatory Swimming 223--247
T. Schneider and
N. Botta and
K. J. Geratz and
R. Klein Extension of Finite Volume Compressible
Flow Solvers to Multi-dimensional,
Variable Density Zero Mach Number Flows 248--286
J. S. Hesthaven and
P. G. Dinesen and
J. P. Lynov Spectral Collocation Time-Domain
Modeling of Diffractive Optical Elements 287--306
Renwei Mei and
Li-Shi Luo and
Wei Shyy An Accurate Curved Boundary Treatment in
the Lattice Boltzmann Method . . . . . . 307--330
H. Safouhi and
P. E. Hoggan Efficient and Rapid Evaluation of
Three-Center Two Electron Coulomb and
Hybrid Integrals Using Nonlinear
Transformations . . . . . . . . . . . . 331--347
Feng Xiao A Computational Model for Suspended
Large Rigid Bodies in $3$D Unsteady
Viscous Flows . . . . . . . . . . . . . 348--379
K. J. Abraham and
L. M. Haines A New Technique for Sampling Multi-modal
Distributions . . . . . . . . . . . . . 380--386
Jie Shen and
T. Tachim Medjo and
S. Wang On a Wind-Driven, Double-Gyre,
Quasi-Geostrophic Ocean Model: Numerical
Simulations and Structural Analysis . . 387--409
Danping Peng and
Barry Merriman and
Stanley Osher and
Hongkai Zhao and
Myungjoo Kang A PDE-Based Fast Local Level Set Method 410--438
V. Maronnier and
M. Picasso and
J. Rappaz Numerical Simulation of Free Surface
Flows . . . . . . . . . . . . . . . . . 439--455
Bengt Fornberg and
Tobin A. Driscoll A Fast Spectral Algorithm for Nonlinear
Wave Equations with Linear Dispersion 456--467
H. Cheng and
L. Greengard and
V. Rokhlin A fast adaptive multipole algorithm in
three dimensions . . . . . . . . . . . . 468--498
Anonymous Abstracts of Papers to Appear . . . . . 499--500
Anonymous Author Index for Volume 155 . . . . . . 501--501
Aldo H. Romero and
Jose M. Sancho Generation of Short and Long Range
Temporal Correlated Noises . . . . . . . 1--11
H. X. Vu and
B. Bezzerides and
D. F. DuBois ASPEN: a Fully Kinetic,
Reduced-Description Particle-in-Cell
Model for Simulating Parametric
Instabilities . . . . . . . . . . . . . 12--42
Keh-Ming Shyue A Fluid-Mixture Type Algorithm for
Compressible Multicomponent Flow with
van der Waals Equation of State . . . . 43--88
Sin-Chung Chang and
Xiao-Yen Wang and
Chuen-Yen Chow The Space--time Conservation Element and
Solution Element Method: a New
High-Resolution and Genuinely
Multidimensional Paradigm for Solving
Conservation Laws . . . . . . . . . . . 89--136
Marcelo H. Kobayashi On a Class of Padé Finite Volume Methods 137--180
Daisuke Furihata Finite Difference Schemes for $ \partial
u \partial t = (\partial \partial
x)^\alpha \delta G \delta u $ That
Inherit Energy Conservation or
Dissipation Property . . . . . . . . . . 181--205
Anonymous Erratum: Volume \bf 149, number 2
(1999), in Article ID jcph.1998.6151,
``An $r$-Adaptive Finite Element Method
Based upon Moving Mesh PDEs,'' by
Weiming Cao, Weizhang Huang, and Robert
D. Russell, pp. 221--244 . . . . . . . . 206--206
Anonymous Abstracts of Papers to Appear . . . . . 207--208
T. Ye and
R. Mittal and
H. S. Udaykumar and
W. Shyy An Accurate Cartesian Grid Method for
Viscous Incompressible Flows with
Complex Immersed Boundaries . . . . . . 209--240
W. R. Lee and
S. Wang and
K. L. Teo An Optimization Approach to a Finite
Dimensional Parameter Estimation Problem
in Semiconductor Device Design . . . . . 241--256
Yanghui Qiu and
Charlotte Froese Fischer Integration by Cell Algorithm for Slater
Integrals in a Spline Basis . . . . . . 257--271
John A. Ekaterinaris Implicit, High-Resolution, Compact
Schemes for Gas Dynamics and
Aeroacoustics . . . . . . . . . . . . . 272--299
Alexander Yu. Gelfgat Different Modes of Rayleigh-Bénard
Instability in Two- and
Three-Dimensional Rectangular Enclosures 300--324
B. Maury Direct Simulations of $2$D
Fluid-Particle Flows in Biperiodic
Domains . . . . . . . . . . . . . . . . 325--351
S. R. Otto and
James P. Denier Numerical Solution of a Generalized
Elliptic Partial Differential Eigenvalue
Problem . . . . . . . . . . . . . . . . 352--359
C. Pozrikidis A Spectral-Element Method for
Particulate Stokes Flow . . . . . . . . 360--381
L. Zaninetti About the Random Walk from Many
Injection Points . . . . . . . . . . . . 382--392
R. Sen Closed-Form Expressions for Certain
Induction Integrals Involving Jacobi and
Chebyshev Polynomials . . . . . . . . . 393--398
Anonymous Abstracts of Papers to Appear . . . . . 399--400
Anonymous Author Index for Volume 156 . . . . . . 401--401
Anonymous Cumulative Author--Title Index
1994--1999 . . . . . . . . . . . . . . . 402--436
John R. Mansfield and
Omar M. Knio and
Charles Meneveau Corrigendum to ``Dynamic LES of
colliding vortex rings using a $3$D
vortex method'' [J. Comp. Phys. 152
(1999) 305--345] . . . . . . . . . . . . 779--780
Mark H. Carpenter and
Jan Nordström and
David Gottlieb Corrigendum to ``A stable and
conservative interface treatment of
arbitrary spatial accuracy'' [J. Comput.
Phys. \bf 148 (1999) 341--365] . . . . . 534--534