Compact high-order schemes for the Euler equations. - Saul Abarbanel; Ajay Kumar (J. Sci. Comput., 1988)

The Theoretical Accuracy of Runge-Kutta Time Discretizations for the Initial Boundary Value Problem: A Study of the Boundary Error. - Mark H. Carpenter; David I. Gottlieb; Saul Abarbanel; Wai-Sun Don (SIAM J. Sci. Comput., 1995)

On the Removal of Boundary Errors Caused by Runge-Kutta Integration of Nonlinear Partial Differential Equations. - Saul Abarbanel; David I. Gottlieb; Mark H. Carpenter (SIAM J. Sci. Comput., 1996)

On Error Bounds of Finite Difference Approximations to Partial Differential Equations - Temporal Behavior and Rate of Convergence. - Saul Abarbanel; Adi Ditkowski; Bertil Gustafsson (J. Sci. Comput., 2000)

Long Time Behavior of the Perfectly Matched Layer Equations in Computational Electromagnetics. - Saul Abarbanel; David I. Gottlieb; Jan S. Hesthaven (J. Sci. Comput., 2002)

Introduction. - Saul Abarbanel (J. Sci. Comput., 2006)

Bounded Error Schemes for the Wave Equation on Complex Domains. - Saul Abarbanel; Adi Ditkowski; Amir Yefet (J. Sci. Comput., 2006)

Non-Linear PML Equations for Time Dependent Electromagnetics in Three Dimensions. - Saul Abarbanel; David I. Gottlieb; Jan S. Hesthaven (J. Sci. Comput., 2006)

Long-Time Performance of Unsplit PMLs with Explicit Second Order Schemes. - Saul Abarbanel; Heydar Qasimov; Semyon Tsynkov (J. Sci. Comput., 2009)