1. Foreword

   • Chi-Wang Shu

   Foreword Pages: 1 - 2

2. High Order Fluctuation Schemes on Triangular Meshes

   • R. Abgrall
   • P. L. Roe

   OriginalPaper Pages: 3 - 36

3. A Level Set Algorithm for Tracking Discontinuities in Hyperbolic Conservation Laws II: Systems of Equations

   • Tariq D. Aslam

   OriginalPaper Pages: 37 - 62

4. An Introduction to Eulerian Geometrical Optics (1992–2002)

   • Jean-David Benamou

   OriginalPaper Pages: 63 - 93

5. TV Based Image Restoration with Local Constraints

   • M. Bertalmio
   • V. Caselles
   • A. Solé

   OriginalPaper Pages: 95 - 122

6. Construction of Shapes Arising from the Minkowski Problem Using a Level Set Approach

   • Li-Tien Cheng

   OriginalPaper Pages: 123 - 138

7. Concepts and Application of Time-Limiters to High Resolution Schemes

   • Karthikeyan Duraisamy
   • James D. Baeder
   • Jian-Guo Liu

   OriginalPaper Pages: 139 - 162

8. Computations of Explosive Boiling in Microgravity

   • Asghar Esmaeeli
   • Grétar Tryggvason

   OriginalPaper Pages: 163 - 182

9. A Level Set Approach for the Numerical Simulation of Dendritic Growth

   • Frédéric Gibou
   • Ronald Fedkiw
   • Stanley Osher

   OriginalPaper Pages: 183 - 199

10. Numerical Simulation of Pulse Detonation Engine Phenomena

    • X. He
    • A. R. Karagozian

    OriginalPaper Pages: 201 - 224

11. Formulations for Numerically Approximating Hyperbolic Systems Governing Sediment Transport

    • Justin Hudson
    • Peter K. Sweby

    OriginalPaper Pages: 225 - 252

12. Solving a Nonlinear Problem in Magneto-Rheological Fluids Using the Immersed Interface Method

    • Kazufumi Ito
    • Zhilin Li

    OriginalPaper Pages: 253 - 266

13. Estimation of 3D Surface Shape and Smooth Radiance from 2D Images: A Level Set Approach

    • Hailin Jin
    • Anthony J. Yezzi
    • Stefano Soatto

    OriginalPaper Pages: 267 - 292

14. The Computation of Martensitic Microstructure with Piecewise Laminates

    • Martin Kružík
    • Mitchell Luskin

    OriginalPaper Pages: 293 - 308

15. Understanding the Shu–Osher Conservative Finite Difference Form

    • Barry Merriman

    OriginalPaper Pages: 309 - 322

16. Overapproximating Reachable Sets by Hamilton-Jacobi Projections

    • Ian M. Mitchell
    • Claire J. Tomlin

    OriginalPaper Pages: 323 - 346

17. Shock-Vortex Interactions at High Mach Numbers

    • Audrey Rault
    • Guillaume Chiavassa
    • Rosa Donat

    OriginalPaper Pages: 347 - 371

18. A Simple Scheme for Volume-Preserving Motion by Mean Curvature

    • Steven J. Ruuth
    • Brian T. R. Wetton

    OriginalPaper Pages: 373 - 384

19. The Numerical Study of Singular Shocks Regularized by Small Viscosity

    • Richard Sanders
    • Michael Sever

    OriginalPaper Pages: 385 - 404

20. Multidomain WENO Finite Difference Method with Interpolation at Subdomain Interfaces

    • Kurt Sebastian
    • Chi-Wang Shu

    OriginalPaper Pages: 405 - 438

21. Semi-Implicit Level Set Methods for Curvature and Surface Diffusion Motion

    • Peter Smereka

    OriginalPaper Pages: 439 - 456

22. Convection of Concentrated Vortices and Passive Scalars as Solitary Waves

    • John Steinhoff
    • Meng Fan
    • William Dietz

    OriginalPaper Pages: 457 - 478

23. A Discontinuous Spectral Element Method for the Level Set Equation

    • Mark Sussman
    • M. Y. Hussaini

    OriginalPaper Pages: 479 - 500

24. A Slowness Matching Eulerian Method for Multivalued Solutions of Eikonal Equations

    • William W. Symes
    • Jianliang Qian

    OriginalPaper Pages: 501 - 526

25. Regularization Techniques for Numerical Approximation of PDEs with Singularities

    • Anna-Karin Tornberg
    • Björn Engquist

    OriginalPaper Pages: 527 - 552

26. Modeling Textures with Total Variation Minimization and Oscillating Patterns in Image Processing

    • Luminita A. Vese
    • Stanley J. Osher

    OriginalPaper Pages: 553 - 572

27. An Eulerian Formulation for Solving Partial Differential Equations Along a Moving Interface

    • Jian-Jun Xu
    • Hong-Kai Zhao

    OriginalPaper Pages: 573 - 594