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)

A Stable Penalty Method for the Compressible Navier-Stokes Equations: I. Open Boundary Conditions. - Jan S. Hesthaven; David I. Gottlieb (SIAM J. Sci. Comput., 1996)

On the Optimal Number of Subdomains for Hyperbolic Problems on Parallel Computers. - Paul Fischer; David I. Gottlieb (Int. J. High Perform. Comput. Appl., 1997)

On the Gibbs Phenomenon and Its Resolution. - David I. Gottlieb; Chi-Wang Shu (SIAM Rev., 1997)

Mathematical Analysis and Optimization of Infiltration Processes. - H.-C. Chang; David I. Gottlieb; M. Marion; Brian W. Sheldon (J. Sci. Comput., 1998)

Optimal Decomposition of the Domain in Spectral Methods for Wave-Like Phenomena. - Carl Erik Wasberg; David I. Gottlieb (SIAM J. Sci. Comput., 2000)

On the Direct Fourier Method for Computer Tomography. - David I. Gottlieb; Bertil Gustafsson; Patrik Forssén (IEEE Trans. Medical Imaging, 2000)

Time Marching Multilevel Techniques for Evolutionary Dissipative Problems. - Bruno Costa 002; Lucia Dettori; David I. Gottlieb; Roger Temam (SIAM J. Sci. Comput., 2001)

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

On the Conservation and Convergence to Weak Solutions of Global Schemes. - Mark H. Carpenter; David I. Gottlieb; Chi-Wang Shu (J. Sci. Comput., 2003)

Foreword. - Mark H. Carpenter; David I. Gottlieb; Jan S. Hesthaven; Chi-Wang Shu (J. Sci. Comput., 2005)

Numerical Convergence Study of Nearly Incompressible, Inviscid Taylor-Green Vortex Flow. - Chi-Wang Shu; Wai-Sun Don; David I. Gottlieb; Oleg Schilling; Leland Jameson (J. Sci. Comput., 2005)

Spectral Methods Based on Prolate Spheroidal Wave Functions for Hyperbolic PDEs. - Qian-Yong Chen; David I. Gottlieb; Jan S. Hesthaven (SIAM J. Numer. Anal., 2005)

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

Recovering High-Order Accuracy in WENO Computations of Steady-State Hyperbolic Systems. - Sigal Gottlieb; David I. Gottlieb; Chi-Wang Shu (J. Sci. Comput., 2006)

Foreword. - David I. Gottlieb; Jan S. Hesthaven; George E. Karniadakis; Chi-Wang Shu (J. Sci. Comput., 2006)

Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes. - Alex Kanevsky; Mark H. Carpenter; David I. Gottlieb; Jan S. Hesthaven (J. Comput. Phys., 2007)

Modified Optimal Prediction and its Application to a Particle-Method Problem. - Alina Chertock; David I. Gottlieb; Alex Solomonoff (J. Sci. Comput., 2008)

Spectral methods. - David I. Gottlieb; Sigal Gottlieb (Scholarpedia, 2009)

Revisiting and Extending Interface Penalties for Multi-domain Summation-by-Parts Operators. - Mark H. Carpenter; Jan Nordström; David I. Gottlieb (J. Sci. Comput., 2010)

Corrigendum to "A stable and conservative interface treatment of arbitrary spatial accuracy" [J. Comput. Phys. 148 (1999) 341-365]. - Mark H. Carpenter; Jan Nordström; David I. Gottlieb (J. Comput. Phys., 2017)