
Handbook of Numerical Methods for Hyperbolic Problems
Basic and Fundamental Issues
- 666 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
Handbook of Numerical Methods for Hyperbolic Problems
Basic and Fundamental Issues
About this book
Handbook of Numerical Methods for Hyperbolic Problems explores the changes that have taken place in the past few decades regarding literature in the design, analysis and application of various numerical algorithms for solving hyperbolic equations.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 readily understand their relative advantages and limitations.- Provides detailed, cutting-edge background explanations of existing algorithms and their analysis- Ideal for readers working on the theoretical aspects of algorithm development and its numerical analysis- Presents a method of different algorithms for specific applications and the relative advantages and limitations of different algorithms for engineers or readers involved in applications- Written by leading subject experts in each field who provide breadth and depth of content coverage
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Information
Table of contents
- Cover image
- Title page
- Table of Contents
- Copyright
- Contributors
- Introduction
- Chapter 1: Introduction to the Theory of Hyperbolic Conservation Laws
- Chapter 2: The Riemann Problem: Solvers and Numerical Fluxes
- Chapter 3: Classical Finite Volume Methods
- Chapter 4: Sharpening Methods for Finite Volume Schemes
- Chapter 5: ENO and WENO Schemes
- Chapter 6: Stability Properties of the ENO Method
- Chapter 7: Stability, Error Estimate and Limiters of Discontinuous Galerkin Methods
- Chapter 8: HDG Methods for Hyperbolic Problems
- Chapter 9: Spectral Volume and Spectral Difference Methods
- Chapter 10: High-Order Flux Reconstruction Schemes
- Chapter 11: Linear Stabilization for First-Order PDEs
- Chapter 12: Least-Squares Methods for Hyperbolic Problems
- Chapter 13: Staggered and Colocated Finite Volume Schemes for Lagrangian Hydrodynamics
- Chapter 14: High-Order Mass-Conservative Semi-Lagrangian Methods for Transport Problems
- Chapter 15: Front-Tracking Methods
- Chapter 16: Moretti's Shock-Fitting Methods on Structured and Unstructured Meshes
- Chapter 17: Spectral Methods for Hyperbolic Problems
- Chapter 18: Entropy Stable Schemes
- Chapter 19: Entropy Stable Summation-by-Parts Formulations for Compressible Computational Fluid Dynamics
- Chapter 20: Central Schemes: A Powerful Black-Box Solver for Nonlinear Hyperbolic PDEs
- Chapter 21: Time Discretization Techniques
- Chapter 22: The Fast Sweeping Method for Stationary Hamilton–Jacobi Equations
- Chapter 23: Numerical Methods for Hamilton–Jacobi Type Equations
- Index