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Volume 86, Number 1, January, 1990John 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--Nicolson 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--Nicolson 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