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Numerical Methods for Conservation Laws

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Cover of 'Numerical Methods for Conservation Laws'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 The Derivation of Conservation Laws
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    Chapter 3 Scalar Conservation Laws
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    Chapter 4 Some Scalar Examples
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    Chapter 5 Some Nonlinear Systems
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    Chapter 6 Linear Hyperbolic Systems
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    Chapter 7 Shocks and the Hugoniot Locus
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    Chapter 8 Rarefaction Waves and Integral Curves
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    Chapter 9 The Riemann problem for the Euler equations
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    Chapter 10 Numerical Methods for Linear Equations
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    Chapter 11 Computing Discontinuous Solutions
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    Chapter 12 Conservative Methods for Nonlinear Problems
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    Chapter 13 Godunov’s Method
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    Chapter 14 Approximate Riemann Solvers
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    Chapter 15 Nonlinear Stability
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    Chapter 16 High Resolution Methods
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    Chapter 17 Semi-discrete Methods
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    Chapter 18 Multidimensional Problems
Attention for Chapter 15: Nonlinear Stability
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