Table Of Content

JOURNAL OF SCIENTIFIC COMPUTING Volume 15, Number | March 2000 CONTENTS Solution of Electromagnetic Scattering Problems Involving Three- Dimensional Homogeneous Dielectric Objects by the Single Integral Equation Method Michael S. Yeung Positivity-Preserving Analysis of Explicit and Implicit Lax Friedrichs Schemes for Compressible Euler Equations Hua-Zhong Tang and Kun Xu Boundary Conditions and Estimates for the Steady Stokes Equations on Staggered Grids Bertil Gustafsson and Jonas Nilsson Explicit Hybrid Time Domain Solver for the Maxwell Equations in 3D Fredrik Edelvik and Gunnar Ledfelt On Error Bounds of Finite Difference Approximations to Partial Differential Equations—Temporal Behavior and Rate of Convergence Saul Abarbanel, Adi Ditkowski, and Bertil Gustafsson JOURNAL OF SCIENTIFIC COMPUTING Volume 15, Number 2 June 2000 CONTENTS A Rational Approximation and Its Applications to Differential Equations on the Half Line Ben- Yu Guo, Jie Shen, and Zhong-Qing Wang Dispersion Analysis for Discontinuous Spectral Element Methods D. Stanescu, D. A. Kopriva, and M. Y. Hussaini Convergence of MUSCL Relaxing Schemes to the Relaxed Schemes for Conservation Laws with Stiff Source Terms Tao Tang and Jinghua Wang High Order Numerical Discretization for Hamilton-Jacobi Equations on Triangular Meshes Steeve Augoula and Rémi Abgrall A Local Extrapolation Method for Hyperbolic Conservation Laws. I. The ENO Underlying Schemes Huanan Yang JOURNAL OF SCIENTIFIC COMPUTING Volume 15, Number 3 September 2000 CONTENTS Finite Difference Solutions of Incompressible Flow Problems with Corner Singularities Huaxiong Huang and Brian R. Seymour A Hybrid Approach to Spectral Reconstruction of Piecewise Smooth Functions Anne Gelb A Boundary Condition Capturing Method for Multiphase Incom- pressible Flow Myungjoo Kang, Ronald P. Fedkiw, and Xu-Dong Liu A Posteriori Error Estimators for a Class of Variational Inequalities Wenbin Liu and Ningning Yan JOURNAL OF SCIENTIFIC COMPUTING Volume 15, Number 4 December 2000 CONTENTS Relaxation Schemes for Hyperbolic Conservation Laws with Stiff Source Terms: Application to Reacting Euler Equations A. Chalabi and Y. Qiu High Order Schemes for Resolving Waves: Number of Points per Wavelength Leland Jameson Solving Ax=b Using a Modified Conjugate Gradient Method Based on Roots of A Paul F. Fischer and Sigal Gottlieb Reduced-Order Adaptive Controllers for Fluid Flows Using POD S. S. Ravindran Analytical Expansion and Numerical Approximation of the Fermi Dirac Integrals -7,(x) of Order j 1/2 and j= 1/2 Frank G. Lether Parallel Semi-Implicit Spectral Element Methods for Atmospheric General Circuiation Models S. J. Thomas and R. D. Loft