Handbook of Numerical Methods for Hyperbolic Problems: Basic and Fundamental Issues

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 analysisIdeal for readers working on the theoretical aspects of algorithm development and its numerical analysisPresents a method of different algorithms for specific applications and the relative advantages and limitations of different algorithms for engineers or readers involved in applicationsWritten by leading subject experts in each field who provide breadth and depth of content coverage INDICE: 1. General introduction Remi Abgrall and Chi-Wang Shu 2. Background information about hyperbolic PDEs Constantine Dafermos Finite volume schemes and Riemann solvers 3. Riemann solvers Eleuterio F. Toro 4. Historical second order schemes emphasizing unstructured meshes Thomas Helmut Sonar 5. Convergence of finite volume methods Frederic Coquel 6. Sharpening methods Bruno Despres Focus on more recent developments such as high order 7. ENO/WENO schemes Yong-Tao Zhang and Chi-Wang Shu 8. ENO properties Ulrik Fjordholm 9. Stability, error estimate and limiters of Discontinuous Galerkin Methods Jianxian Qiu 10. Discontinuous Galerkin methods: HDG, elasticity and wave equations Bernardo Cockburn 11. Spectral volume and spectral difference methods Zhi Jian Wang 12. High order reconstruction flux schemes Antony Jameson and Peter Vincent 13. Linear stabilized methods Jean-Luc Guermond 14. least square methods Pavel Bochev 15. Lagrangian methods and ALE Pierre-Henri Maire, Raphael Loubere and Bernard Rebourcet 16. Semi-Lagrangian methods Jingmei Qiu 17. Front tracking methods James Glimm 18. Shock fitting method Aldo Bonfiglioli, Renato Paciorri, Francesco Nasuti and Marcello Onofri 19. Spectral method Jan Hesthaven Entropy stable schemes 20. Entropy stable schemes: nonlinear approach. Eitan Tadmor 21. Entropy stable SBP-SAT methods for Navier-Stokes Mark Carpenter 22. Central schemes Alexander Kurganov 23. Time discretization techniques Sigal Gottlieb and D Ketcheson 24. Level set methods and related techniques for Hamilton-Jacobi equations Stanley Osher and Hongkai Zhao 25. Numerical methods for Hamilton-Jacobi type equations Maurizio Falcone and Roberto Ferretti

• ISBN: 978-0-444-63789-5
• Editorial: North Holland
• Encuadernacion: Cartoné
• Páginas: 526
• Fecha Publicación: 01/12/2016
• Nº Volúmenes: 1
• Idioma: Inglés