shu@dam.brown.edu
http://www.springeronline.com/journal/10915
Volume 53, Number 1, October 2012
Special issue in honor of Professor Saul
Abarbanel on his 80th birthday
Preface
Sigal Gottlieb and Adi Ditkowski, pp.1-2.
Analysis of a Penalty Method
Qingshan Chen, Youngjoon Hong and Roger Temam,
pp.3-34.
New Analysis of the Du Fort–Frankel Methods
Neta Corem and Adi Ditkowski, pp.35-54.
Recent Advances in the Study of a Fourth-Order
Compact Scheme for the One-Dimensional
Biharmonic Equation
D. Fishelov, M. Ben-Artzi and J.-P. Croisille,
pp.55-79.
High Order Weighted Essentially Non-oscillation
Schemes for Two-Dimensional Detonation Wave
Simulations
Zhen Gao, Wai Sun Don and Zhiqiu Li, pp.80-101.
Stability and Convergence Analysis of Fully
Discrete Fourier Collocation Spectral Method
for 3-D Viscous Burgers’ Equation
Sigal Gottlieb and Cheng Wang, pp.102-128.
Smoothness-Increasing Accuracy-Conserving
(SIAC) Filtering for Discontinuous Galerkin
Solutions: Improved Errors Versus Higher-Order
Accuracy
James King, Hanieh Mirzaee, Jennifer K. Ryan
and Robert M. Kirby, pp.129-149.
The Method of Difference Potentials for the
Helmholtz Equation Using Compact High Order
Schemes
M. Medvinsky, S. Tsynkov and E. Turkel,
pp.150-193.
The Narrow Escape Problem—A Short Review of
Recent Results
Z. Schuss, pp.194-210.
New, Highly Accurate Propagator for the Linear
and Nonlinear Schrdinger Equation
Hillel Tal-Ezer, Ronnie Kosloff and Ido
Schaefer, pp.211-221.
WENO Scheme with Subcell Resolution for
Computing Nonconservative Euler Equations with
Applications to One-Dimensional Compressible
Two-Medium Flows
Tao Xiong, Chi-Wang Shu and Mengping Zhang,
pp.222-247.