Description
Handbook of Numerical Methods for Hyperbolic Problems explores the changes that have taken place in the past few decades regarding literature in the design, analysis and application of various numerical algorithms for solving hyperbolic equations.This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and readily understand their relative advantages and limitations.- Provides detailed, cutting-edge background explanations of existing algorithms and their analysis- Ideal for readers working on the theoretical aspects of algorithm development and its numerical analysis- Presents a method of different algorithms for specific applications and the relative advantages and limitations of different algorithms for engineers or readers involved in applications- Written by leading subject experts in each field who provide breadth and depth of content coverage
Table of Contents
General IntroductionR. Abgrall and C.-W. ShuIntroduction to the Theory of Hyperbolic Conservation LawsC.M. DafermosThe Riemann Problem: Solvers and Numerical FluxesE.F. ToroClassical Finite Volume MethodsT. SonarSharpening Methods for Finite Volume SchemesB. Després, S. Kokh and F. LagoutièreENO and WENO SchemesY.-T. Zhang and C.-W. ShuStability Properties of the ENO MethodU.S. FjordholmStability, Error Estimate and Limiters of Discontinuous Galerkin MethodsJ. Qiu and Q. ZhangHDG Methods for Hyperbolic ProblemsB. Cockburn, N.C. Nguyen and J. PeraireSpectral Volume and Spectral Difference MethodsZ.J. Wang, Y. Liu, C. Lacor and J. AzevedoHigh-Order Flux Reconstruction SchemesF.D. Witherden, P.E. Vincent and A. JamesonLinear Stabilization for First-Order PDEsA. Ern and J.-L. GuermondLeast-Squares Methods for Hyperbolic ProblemsP. Bochev and M. GunzburgerStaggered and Co-Located Finite Volume Schemes for LagrangianHydrodynamicsR. Loubère, P.-H. Maire and B. RebourcetHigh Order Mass Conservative Semi-Lagrangian Methods for Transport ProblemsJ.-M. QiuFront Tracking MethodsD. She, R. Kaufman, H. Lim, J. Melvin, A. Hsu and J. GlimmMoretti's Shock-Fitting Methods on Structured and Unstructured MeshesA. Bonfiglioli, R. Paciorri, F. Nasuti and M. OnofriSpectral Methods for Hyperbolic ProblemsJ.S. HesthavenEntropy Stable SchemesE. TadmorEntropy Stable Summation-By-Parts Formulations for Compressible Computational Fluid DynamicsM.H. Carpenter, T.C. Fisher, E.J. Nielsen, M. Parsani, M. Svärd and N. YamaleevCentral Schemes: A Powerful Black-Box Solver for Nonlinear Hyperbolic PDEsA. KurganovTime Discretization TechniquesS. Gottlieb and D.I. KetchesonThe Fast Sweeping Method for Stationary Hamilton-Jacobi EquationsH. ZhaoNumerical Methods for Hamilton˗Jacobi Type EquationsM. Falcone and R. Ferretti
-
- 洋書電子書籍
-
VSI侵入生物
Invasive…
-
- 洋書電子書籍
- The eBook Insider
