Table Of Content

JOURNAL OF SCIENTIFIC COMPUTING Vol. 19, Numbers 1—3 December 2003 Special Issue in Honor of the Sixtieth Birthday of Stanley Osher CONTENTS Foreword Chi-Wang Shu High Order Fluctuation Schemes on Triangular Meshes R. Abgrall and P. L. Roe A Level Set Algorithm for Tracking Discontinuities in Hyperbolic Conser- vation Laws II: Systems of Equations Tariq D. Aslam An Introduction to Eulerian Geometrical Optics (1992-2002) Jean-David Benamou TV Based Image Restoration with Local Constraints M. Bertalmio, V. Caselles, B. Rougé, and A. Solé Construction of Shapes Arising from the Minkowski Problem using a Level Set Approach Li-Tien Cheng Concepts and Application of Time-Limiters to High Resolution Schemes Karthikeyan Duraisamy, James D. Baeder, and Jian-Guo Liu Computations of Explosive Boiling in Microgravity Asghar Esmaeeli and Grétar Tryggvason A Level Set Approach for the Numerical Simulation of Dendritic Growth Frédéric Gibou, Ronald Fedkiw, Russel Caflisch, and Stanley Osher Numerical Simulation of Pulse Detonation Engine Phenomena X. He and A. R. Karagozian Formulations for Numerically Approximating Hyperbolic Systems Governing Sediment Transport Justin Hudson and Peter K. Sweby Solving a Nonlinear Problem in Magneto-Rheological Fluids using the Immersed Interface Method Kazufumi Ito and Zhilin Li Estimation of 3D Surface Shape and Smooth Radiance from 2D Images: A Level Set Approach Hailin Jin, Anthony J. Yezzi, Yen-Hsi Tsai, Li-Tien Cheng, and Stefano Soatto The Computation of Martensitic Microstructure with Piecewise Laminates Martin Kruzik and Mitchell Luskin Understanding the Shu-Osher Conservative Finite Difference Form Barry Merriman Overapproximating Reachable Sets by Hamilton-Jacobi Projections Ian M. Mitchell and Claire J. Tomlin Shock-Vortex Interactions at High Mach Numbers Audrey Rault, Guillaume Chiavassa, and Rosa Donat A Simple Scheme for Volume-Preserving Motion by Mean Curvature Steven J. Ruuth and Brian T. R. Wetton The Numerical Study of Singular Shocks Regularized by Small Viscosity Richard Sanders and Michael Sever Multidomain WENO Finite Difference Method with Interpolation at Sub- domain Interfaces Kurt Sebastian and Chi-Wang Shu Semi-Implicit Level Set Methods for Curvature and Surface Diffusion Motion Peter Smereka Convection of Concentrated Vortices and Passive Scalars as Solitary Waves John Steinhoff, Meng Fan, Lesong Wang, and William Dietz A Discontinuous Spectral Element Method for the Level Set Equation Mark Sussman and M. Y. Hussaini A Slowness Matching Eulerian Method for Multivalued Solutions Eikonal Equations William W. Symes and Jianliang Qian Regularization Techniques for Numerical Approximation of PDEs with Singularities Anna-Karin Tornberg and Bjorn Engquist Modeling Textures with Total Variation Minimization and Oscillating Patterns in Image Processing Luminita A. Vese and Stanley J. Osher An Eulerian Formulation for Solving Partial Differential Equations Along a Moving Interface Jian-Jun Xu and Hong-Kai Zhao