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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.
Editors’ Introduction
Cut Cells: Meshes and Solvers
Inverse Lax–Wendroff Procedure for Numerical Boundary Treatment of Hyperbolic Equations
Multidimensional Upwinding
Bound-Preserving High-Order Schemes
Asymptotic-Preserving Schemes for Multiscale Hyperbolic and Kinetic Equations
Well-Balanced Schemes and Path-Conservative Numerical Methods
A Practical Guide to Deterministic Particle Methods
On the Behaviour of Upwind Schemes in the Low Mach Number Limit: A Review
Adjoint Error Estimation and Adaptivity for Hyperbolic Problems
Unstructured Mesh Generation and Adaptation
The Design of Steady State Schemes for Computational Aerodynamics
Some Failures of Riemann Solvers
Numerical Methods for the Nonlinear Shallow Water Equations
Maxwell and Magnetohydrodynamic Equations
Deterministic Solvers for Nonlinear Collisional Kinetic Flows: A Conservative Spectral Scheme for Boltzmann Type Flows
Numerical Methods for Hyperbolic Nets and Networks
Numerical Methods for Astrophysics
Numerical Methods for Conservation Laws With Discontinuous Coefficients
Uncertainty Quantification for Hyperbolic Systems of Conservation Laws
Multiscale Methods for Wave Problems in Heterogeneous Media