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

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

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Overview

Handbook on Numerical Methods for Hyperbolic Problems: Applied and Modern Issues by Remi Abgrall

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: 9780444639103
Publisher: Elsevier Science
Publication date: 02/01/2017
Series: Handbook of Numerical Analysis Series , #18
Pages: 610
Product dimensions: 6.00(w) x 9.00(h) x (d)

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 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

Mesh adaptation

10. AMR

Phillip Colella

11. Adjoint methods in adaptivity

Paul Houston

12. Mesh Adaption/Conformal Grids/Unstructured Meshes

Adrien Loseille

13. Efficiency in Solvers

Antony Jameson

Specialized Topics

14. Standard Gas: for p=f(p,e)

Remi Abgrall

15. Shallow Water Equations

Yulong Xing

16. Maxwell Equations and MHD

Claus-Dieter Munz

17. Kinetic Problems

Irene M. Gamba

18. Numerical Methods for Traffic Flow Models and Networks

Suncica Canic and Benedetto Piccoli

19. Numerical Methods for Astrophysics

Christian Klingenberg

Modern Topics

20. Numerical methods for conservation laws with discontinuous coefficients

Mishra Siddhartha and Remi Abgrall

21. Uncertainty quantification for hyperbolic systems of conservation laws

Mishra Siddhartha

22. Multiscale Methods

Assyr Abdulle

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