Saul Abarbanel

Time-Stable Boundary Conditions for Finite-Difference Schemes Solving Hyperbolic Systems: Methodology and Application to High-Order Compact Schemes

Mark H. Carpenter, David Gottlieb, Saul Abarbanel · Journal of Computational Physics · 1994 · 681 citations · Full text

Computing, Computational Engineering, Physics +14

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

Mark H. Carpenter, David Gottlieb, Saul Abarbanel · Journal of Computational Physics · 1993 · 431 citations · Full text

Computing, Computational Engineering, Physics +12

A Mathematical Analysis of the PML Method

Saul Abarbanel, David Gottlieb · Journal of Computational Physics · 1997 · 238 citations

Natural Sciences, Mathematics, Computational Electromagnetics +3

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

Raimo J. Hakkinen, Isaac Greber, Leon Trilling et al. · NASA Technical Reports Server (NASA) · 1959 · 191 citations · Full text

Natural Sciences, Earth Sciences, Aerodynamics +16

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

Mark H. Carpenter, David Gottlieb, Saul Abarbanel et al. · SIAM Journal on Scientific Computing · 1995 · 173 citations

Natural Sciences, Computational Engineering, Physics +16