Handbook of Numerical Methods for Hyperbolic Problems
Applied and Modern Issues

Cutting-edge explanations of existing algorithms and their analysis for readers working on the theoretical aspects of algorithm development and numerical analysis

Remi Abgrall (Edited by), Chi-Wang Shu (Edited by), Roland Glowinski (Series edited by), Qiang Du (Series edited by), Michael Hintermüller (Series edited by), Endre Süli (Series edited by)

9780444639103, Elsevier Science

Hardback, published 18 January 2017

610 pages
22.9 x 15.1 x 3.4 cm, 1.1 kg

Handbook on Numerical Methods for Hyperbolic Problems: Applied and Modern Issues details the large amount of literature in the design, analysis, and application of various numerical algorithms for solving hyperbolic equations that has been produced in the last several decades. 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 become familiar with their relative advantages and limitations.

Boundary conditions, interface conditions 1. Absorbing / non-reflective boundary conditions Bjorn Engquist 2. Cut-cell methods Marsha Berger 3. Inverse Lax-Wendroff procedure Sirui Tan and Chi-Wang Shu 4. Multi-dimensional solvers and residual distribution schemes Philip Roe 5. Bound-preserving high order schemes Xiangxiong Zhang and Zhengfu Xu 6. Asymptotic preserving methods Shi Jin 7. Well balanced schemes and non-conservative methods Carlos Pares and Manuel Castro 8. Particle methods Alina Chertock 9. Low Mach number flows Herve Guillard

Subject Areas: Numerical analysis [PBKS]