Handbook of Numerical Methods for Hyperbolic Problems: Applied and Modern Issues

by Remi Abgrall (Editor), Chi-Wang Shu (Editor), Roland Glowinski (Editor), Qiang Du (Editor), Michael Hintermüller (Editor)

Overview

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. - Provides detailed, cutting-edge background explanations of existing algorithms and their analysis - Presents a method of different algorithms for specific applications and the relative advantages and limitations of different algorithms for engineers or those involved in applications - Written by leading subject experts in each field, the volumes provide breadth and depth of content coverage

Product Details

ISBN-13:	9780444639110
Publisher:	North Holland
Publication date:	01/16/2017
Series:	Handbook of Numerical Analysis , #18
Sold by:	Barnes & Noble
Format:	eBook
Pages:	610
File size:	42 MB
Note:	This product may take a few minutes to download.

About the Author

Rémi Abgrall is a professor at Universität Zürich
Professor Chi-Wang Shu is a professor at Brown University, RI, USA

Table of Contents

Boundary conditions, interface conditions1. Absorbing / non-reflective boundary conditionsBjorn Engquist2. Cut-cell methodsMarsha Berger3. Inverse Lax-Wendroff procedureSirui Tan and Chi-Wang Shu 4. Multi-dimensional solvers and residual distribution schemesPhilip Roe5. Bound-preserving high order schemesXiangxiong Zhang and Zhengfu Xu 6. Asymptotic preserving methodsShi Jin7. Well balanced schemes and non-conservative methodsCarlos Pares and Manuel Castro 8. Particle methodsAlina Chertock9. Low Mach number flowsHerve Guillard Mesh adaptation10. AMRPhillip Colella11. Adjoint methods in adaptivityPaul Houston12. Mesh Adaption/Conformal Grids/Unstructured MeshesAdrien Loseille13. Efficiency in SolversAntony Jameson Specialized Topics14. Standard Gas: for p=f(p,e)Remi Abgrall15. Shallow Water EquationsYulong Xing16. Maxwell Equations and MHDClaus-Dieter Munz17. Kinetic ProblemsIrene M. Gamba18. Numerical Methods for Traffic Flow Models and NetworksSuncica Canic and Benedetto Piccoli 19. Numerical Methods for AstrophysicsChristian Klingenberg Modern Topics20. Numerical methods for conservation laws with discontinuous coefficientsMishra Siddhartha and Remi Abgrall 21. Uncertainty quantification for hyperbolic systems of conservation lawsMishra Siddhartha22. Multiscale MethodsAssyr Abdulle

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From the Publisher

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