Handbook of Numerical Methods for Hyperbolic Problems

<p>General Introduction</p> <p>R. Abgrall and C.-W. Shu</p> <p>Introduction to the Theory of Hyperbolic Conservation Laws</p> <p>C.M. Dafermos</p> <p>The Riemann Problem: Solvers and Numerical Fluxes</p> <p>E.F. Toro</p> <p>Classical Finite Volume Methods</p> <p>T. Sonar</p> <p>Sharpening Methods for Finite Volume Schemes</p> <p>B. Després, S. Kokh and F. Lagoutière</p> <p>ENO and WENO Schemes</p> <p>Y.-T. Zhang and C.-W. Shu</p> <p>Stability Properties of the ENO Method</p> <p>U.S. Fjordholm</p> <p>Stability, Error Estimate and Limiters of Discontinuous Galerkin Methods</p> <p>J. Qiu and Q. Zhang</p> <p>HDG Methods for Hyperbolic Problems</p> <p>B. Cockburn, N.C. Nguyen and J. Peraire</p> <p>Spectral Volume and Spectral Difference Methods</p> <p>Z.J. Wang, Y. Liu, C. Lacor and J. Azevedo</p> <p>High-Order Flux Reconstruction Schemes</p> <p>F.D. Witherden, P.E. Vincent and A. Jameson</p> <p>Linear Stabilization for First-Order PDEs</p> <p>A. Ern and J.-L. Guermond</p> <p>Least-Squares Methods for Hyperbolic Problems</p> <p>P. Bochev and M. Gunzburger</p> <p>Staggered and Co-Located Finite Volume Schemes for Lagrangian</p> <p>Hydrodynamics</p> <p>R. Loubère, P.-H. Maire and B. Rebourcet</p> <p>High Order Mass Conservative Semi-Lagrangian Methods for Transport Problems</p> <p>J.-M. Qiu</p> <p>Front Tracking Methods</p> <p>D. She, R. Kaufman, H. Lim, J. Melvin, A. Hsu and J. Glimm</p> <p>Moretti’s Shock-Fitting Methods on Structured and Unstructured Meshes</p> <p>A. Bonfiglioli, R. Paciorri, F. Nasuti and M. Onofri</p> <p>Spectral Methods for Hyperbolic Problems</p> <p>J.S. Hesthaven</p> <p>Entropy Stable Schemes</p> <p>E. Tadmor</p> <p>Entropy Stable Summation-By-Parts Formulations for Compressible Computational Fluid Dynamics</p> <p>M.H. Carpenter, T.C. Fisher, E.J. Nielsen, M. Parsani, M. Svärd and N. Yamaleev</p> <p>Central Schemes: A Powerful Black-Box Solver for Nonlinear Hyperbolic PDEs</p> <p>A. Kurganov</p> <p>Time Discretization Techniques</p> <p>S. Gottlieb and D.I. Ketcheson</p> <p>The Fast Sweeping Method for Stationary Hamilton-Jacobi Equations</p> <p>H. Zhao</p> <p>Numerical Methods for Hamilton˗Jacobi Type Equations</p> <p>M. Falcone and R. Ferretti</p>