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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.
List 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
About the author
Rémi Abgrall is a professor at Universität ZürichProfessor Chi-Wang Shu is a professor at Brown University, RI, USA
