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Handbook of Numerical Methods for Hyperbolic Problems Applied and Modern Issues

✍ Scribed by Rémi Abgrall and Chi-Wang Shu (Eds.)

Publisher
North Holland
Year
2017
Leaves
587
Series
Handbook of Numerical Analysis Volume 18
Edition
1st Edition
Category
Library
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✦ Synopsis

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.

✦ Table of Contents

Content:
Series PagePage ii
CopyrightPage iv
ContributorsPages xv-xvi
Editors’ IntroductionPages xvii-xixR. Abgrall, C.-W. Shu
Chapter 1 - Cut Cells: Meshes and SolversPages 1-22M. Berger
Chapter 2 - Inverse Lax–Wendroff Procedure for Numerical Boundary Treatment of Hyperbolic EquationsPages 23-52C.-W. Shu, S. Tan
Chapter 3 - Multidimensional UpwindingPages 53-80P. Roe
Chapter 4 - Bound-Preserving High-Order SchemesPages 81-102Z. Xu, X. Zhang
Chapter 5 - Asymptotic-Preserving Schemes for Multiscale Hyperbolic and Kinetic EquationsPages 103-129J. Hu, S. Jin, Q. Li
Chapter 6 - Well-Balanced Schemes and Path-Conservative Numerical MethodsPages 131-175M.J. Castro, T. Morales de Luna, C. Parés
Chapter 7 - A Practical Guide to Deterministic Particle MethodsPages 177-202A. Chertock
Chapter 8 - On the Behaviour of Upwind Schemes in the Low Mach Number Limit: A ReviewPages 203-231H. Guillard, B. Nkonga
Chapter 9 - Adjoint Error Estimation and Adaptivity for Hyperbolic ProblemsPages 233-261P. Houston
Chapter 10 - Unstructured Mesh Generation and AdaptationPages 263-302A. Loseille
Chapter 11 - The Design of Steady State Schemes for Computational AerodynamicsPages 303-349F.D. Witherden, A. Jameson, D.W. Zingg
Chapter 12 - Some Failures of Riemann SolversPages 351-360R. Abgrall
Chapter 13 - Numerical Methods for the Nonlinear Shallow Water EquationsPages 361-384Y. Xing
Chapter 14 - Maxwell and Magnetohydrodynamic EquationsPages 385-401C.-D. Munz, E. Sonnendrücker
Chapter 15 - Deterministic Solvers for Nonlinear Collisional Kinetic Flows: A Conservative Spectral Scheme for Boltzmann Type FlowsPages 403-433I.M. Gamba
Chapter 16 - Numerical Methods for Hyperbolic Nets and NetworksPages 435-463S. Čanić, M.L. Delle Monache, B. Piccoli, J.-M. Qiu, J. Tambača
Chapter 17 - Numerical Methods for AstrophysicsPages 465-477C. Klingenberg
Chapter 18 - Numerical Methods for Conservation Laws With Discontinuous CoefficientsPages 479-506S. Mishra
Chapter 19 - Uncertainty Quantification for Hyperbolic Systems of Conservation LawsPages 507-544R. Abgrall, S. Mishra
Chapter 20 - Multiscale Methods for Wave Problems in Heterogeneous MediaPages 545-576A. Abdulle, P. Henning
IndexPages 577-589

✦ Subjects

Home;Books & Journals;Mathematics;Numerical Analysis;Handbook of Numerical Methods for Hyperbolic Problems

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