Advanced Numerical Approximation of Nonlinear Hyperbolic Equations

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Cover of 'Advanced Numerical Approximation of Nonlinear Hyperbolic Equations'

Table of Contents

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Book Overview
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Chapter 1 Approximate solutions of nonlinear conservation laws
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Chapter 2 An introduction to the Discontinuous Galerkin method for convection-dominated problems
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Chapter 3 Adaptive finite element methods for conservation laws
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Chapter 4 Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws

Attention for Chapter 3: Adaptive finite element methods for conservation laws

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Citations

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Many-Stage Optimal Stabilized Runge–Kutta Methods for Hyperbolic Partial Differential Equations

Article in Journal of Scientific Computing (March 2024)

Many-Stage Optimal Stabilized Runge-Kutta Methods for Hyperbolic Partial Differential Equations

Preprint in arXiv (February 2024)

An adaptive mesh refinement method based on a characteristic‐compression embedded shock wave indicator for high‐speed flows

Article in Numerical Methods for Partial Differential Equations (February 2024)

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