Search results for ""Author Chi-wang Shu""
Elsevier Science Handbook of Numerical Methods for Hyperbolic Problems
Table of ContentsGeneral Introduction R. Abgrall and C.-W. Shu Introduction to the Theory of Hyperbolic Conservation Laws C.M. Dafermos The Riemann Problem: Solvers and Numerical Fluxes E.F. Toro Classical Finite Volume Methods T. Sonar Sharpening Methods for Finite Volume Schemes B. Després, S. Kokh and F. Lagoutière ENO and WENO Schemes Y.-T. Zhang and C.-W. Shu Stability Properties of the ENO Method U.S. Fjordholm Stability, Error Estimate and Limiters of Discontinuous Galerkin Methods J. Qiu and Q. Zhang HDG Methods for Hyperbolic Problems B. Cockburn, N.C. Nguyen and J. Peraire Spectral Volume and Spectral Difference Methods Z.J. Wang, Y. Liu, C. Lacor and J. Azevedo High-Order Flux Reconstruction Schemes F.D. Witherden, P.E. Vincent and A. Jameson Linear Stabilization for First-Order PDEs A. Ern and J.-L. Guermond Least-Squares Methods for Hyperbolic Problems P. Bochev and M. Gunzburger Staggered and Co-Located Finite Volume Schemes for Lagrangian Hydrodynamics R. Loubère, P.-H. Maire and B. Rebourcet High Order Mass Conservative Semi-Lagrangian Methods for Transport Problems J.-M. Qiu Front Tracking Methods D. She, R. Kaufman, H. Lim, J. Melvin, A. Hsu and J. Glimm Moretti’s Shock-Fitting Methods on Structured and Unstructured Meshes A. Bonfiglioli, R. Paciorri, F. Nasuti and M. Onofri Spectral Methods for Hyperbolic Problems J.S. Hesthaven Entropy Stable Schemes E. Tadmor Entropy Stable Summation-By-Parts Formulations for Compressible Computational Fluid Dynamics M.H. Carpenter, T.C. Fisher, E.J. Nielsen, M. Parsani, M. Svärd and N. Yamaleev Central Schemes: A Powerful Black-Box Solver for Nonlinear Hyperbolic PDEs A. Kurganov Time Discretization Techniques S. Gottlieb and D.I. Ketcheson The Fast Sweeping Method for Stationary Hamilton-Jacobi Equations H. Zhao Numerical Methods for Hamilton?Jacobi Type Equations M. Falcone and R. Ferretti
£999.99
World Scientific Publishing Co Pte Ltd Strong Stability Preserving Runge-kutta And
Book SynopsisThis book captures the state-of-the-art in the field of Strong Stability Preserving (SSP) time stepping methods, which have significant advantages for the time evolution of partial differential equations describing a wide range of physical phenomena. This comprehensive book describes the development of SSP methods, explains the types of problems which require the use of these methods and demonstrates the efficiency of these methods using a variety of numerical examples. Another valuable feature of this book is that it collects the most useful SSP methods, both explicit and implicit, and presents the other properties of these methods which make them desirable (such as low storage, small error coefficients, large linear stability domains). This book is valuable for both researchers studying the field of time-discretizations for PDEs, and the users of such methods.Table of ContentsThe Development of SSP Methods; The Need for SSP Methods; Bounds on the SSP Coefficient for Runge-Kutta, Linear Multistep, and General Linear Methods; Explicit Strong Stability Preserving Runge-Kutta Methods; Low Storage Explicit SSP Runge-Kutta Methods; Optimal SSP Runge-Kutta Methods for Linear Constant Coefficient Problems; Optimal Implicit SSP Runge-Kutta Methods; Explicit and Implicit SSP Linear Multistep Methods; The SSP Properties of Other Methods; Optimal Multistep Multistage Methods; Applications of SSP Methods.
£67.45
