S. Abarbanel

发表

The Theoretical Accuracy of Runge-Kutta Time Discretizations for the Initial Boundary Value Problem: A Study of the Boundary Error

David I. Gottlieb, Wai-Sun Don, Saul Abarbanel, 1995, SIAM J. Sci. Comput..

The Stability of Numerical Boundary Treatments for Compact High-Order Finite-Difference Schemes

D. Gottlieb, M. Carpenter, S. Abarbanel, 1993 .

Stable and accurate boundary treatments for compact, high-order finite-difference schemes

D. Gottlieb, M. Carpenter, S. Abarbanel, 1993 .

Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: methodology and application to high-order compact schemes

D. Gottlieb, M. Carpenter, S. Abarbanel, 1994 .

Strict Stability of High-Order Compact Implicit Finite-Difference Schemes: The Role of Boundary Conditions for Hyperbolic PDEs, II

A. Chertock, S. Abarbanel, A. Yefet, 2000 .

Wave propagation in advected acoustics within a non-uniform medium under the effect of gravity

S. Abarbanel, A. Ditkowski, 2015 .

A Mathematical Analysis of the PML Method

David Gottlieb, Saul Abarbanel, D. Gottlieb, 1997 .

Global artificial boundary conditions for computation of external flows with jets

Jan Nordström, Veer N. Vatsa, Saul Abarbanel, 2000 .

On the construction and analysis of absorbing layers in CEM

David Gottlieb, Saul Abarbanel, D. Gottlieb, 1998 .

Strict Stability of High-Order Compact Implicit Finite-Difference Schemes

Alina Chertock, Amir Yefet, Saul Abarbanel, 2000 .

Asymptotically Stable Fourth-Order Accurate Schemes for the Diffusion Equation on Complex Shapes

S. Abarbanel, A. Ditkowski, 1997 .

Non-reflecting boundary conditions for the compressible Navier-Stokes equations

A. Bayliss, S. Abarbanel, L. Lustman, 1986 .

Trajectory of a rebounding detonation wave.

E. E. Fisher, S. Abarbanel, G. Zwas, 1967 .

The Interaction of an Oblique Shock Wave with a Laminar Boundary Layer

Leon Trilling, S. S. Abarbanel, S. Abarbanel, 1959 .

Long-Time Performance of Unsplit PMLs with Explicit Second Order Schemes

Semyon Tsynkov, Saul Abarbanel, Heydar Qasimov, 2009, J. Sci. Comput..

On the Removal of Boundary Errors Caused by Runge-Kutta Integration of Nonlinear Partial Differential Equations

David I. Gottlieb, Saul Abarbanel, Mark H. Carpenter, 1994, SIAM J. Sci. Comput..

MULTI-DIMENSIONAL ASYMPTOTICALLY STABLE 4th-ORDER ACCURATE SCHEMES FOR THE DIFFUSION EQUATION

S. Abarbanel, A. Ditkowski, 1996 .

PRECEDING PAGE BLANK MOT RIMED RESEARCH IN PROGRESS

S. Abarbanel, 2008 .

Optimal time splitting for two- and three-dimensional navier-stokes equations with mixed derivatives

David Gottlieb, Saul Abarbanel, D. Gottlieb, 1981 .

Non-Linear PML Equations for Time Dependent Electromagnetics in Three Dimensions

Jan S. Hesthaven, David I. Gottlieb, Saul Abarbanel, 2006, J. Sci. Comput..

On Error Bounds of Finite Difference Approximations to Partial Differential Equations—Temporal Behavior and Rate of Convergence

Bertil Gustafsson, Saul Abarbanel, Adi Ditkowski, 2000, J. Sci. Comput..

Stable Approximations for Hyperbolic Systems with Moving Internal Boundary Conditions

M. Goldberg, S. Abarbanel, By M. Goldberg, 1974 .

Higher Order Accuracy Finite Difference Algorithms for Quasi-Linear, Conservation Law Hyperbolic Systems*

D. Gottlieb, S. Abarbanel, 1973 .

Long Time Behavior of the Perfectly Matched Layer Equations in Computational Electromagnetics

Jan S. Hesthaven, David I. Gottlieb, Saul Abarbanel, 2002, J. Sci. Comput..

Global Artificial Boundary Conditions for Computation of External Flow Problems with

Semyon Tsynkov, Saul Abarbanel, Jan Nordstr, 1998 .

External flow computations using global boundary conditions

S. Abarbanel, S. Tsynkov, Eli Turkel, 1995 .

Analysis of the Error for Approximations to Systems of Hyperbolic Equations

D. Gottlieb, S. Abarbanel, Eli Turkel, 1999 .

Time Dependent Temperature Distribution in Radiating Solids

S. Abarbanel, 1960 .

Spectral Methods for Discontinuous Problems

Eitan Tadmor, David Gottlieb, D. Gottlieb, 1985 .

Unsplit Variables Perfectly Matched Layers for the Shallow Water Equations with Coriolis Forces

M. Y. Hussaini, D. Stanescu, S. Abarbanel, 2003 .

Transverse ionizing MHD detonation waves. Part 1. Structure, Hugoniot curves and Chapman–Jouguet limit

S. Frankenthal, S. Abarbanel, A. Friedland, 1973, Journal of Plasma Physics.

Splitting methods for low Mach number Euler and Navier-Stokes equations

D. Gottlieb, S. Abarbanel, Pravir Duth, 1989 .

Higher Order Accuracy Finite Difference Algorithms for Quasi-Linear, Conservation Law Hyperbolic Systems*

D. Gottlieb, S. Abarbanel, 1973 .

Multidimensional Difference Schemes with Fourth-Order Accuracy

Eli Turkel, David Gottlieb, Saul Abarbanel, 1976 .

A note on the leap-frog scheme in two and three dimensions. [finite difference method for partial differential equations]

D. Gottlieb, S. Abarbanel, 1976 .

On Improving the $2-4$ Two-Dimensional Leap-Frog Scheme

D. Gottlieb, S. Abarbanel, 1980 .

Stability of two-dimensional initial-boundary value problems using leap-frog type schemes

David Gottlieb, Saul Abarbanel, D. Gottlieb, 1979 .

Improving the convergence rate to steady state of parabolic ADI methods. [Alternating Direction Implicit

D. Gottlieb, S. Abarbanel, D. Dwoyer, 1986 .

Difference Schemes with Fourth Order Accuracy for Hyperbolic Equations

D. Gottlieb, S. Abarbanel, Eli Turkel, 1974 .

An iterative finite-difference method for hyperbolic systems

S. Abarbanel, G. Zwas, 1969 .

Global Artificial Boundary Conditions for Computation of External Flow Problems with Propulsive Jets

S. Abarbanel, J. Nordström, S. Tsynkov, 1998 .

Multiple steady states for characteristic initial value problems

M. D. Salas, David Gottlieb, Saul Abarbanel, 1986 .