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Riemann Solvers and Numerical Methods for Fluid Dynamics

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Cover of 'Riemann Solvers and Numerical Methods for Fluid Dynamics'

Table of Contents

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    Book Overview
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    Chapter 1 The Equations of Fluid Dynamics
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    Chapter 2 Notions on Hyperbolic Partial Differential Equations
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    Chapter 3 Some Properties of the Euler Equations
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    Chapter 4 The Riemann Problem for the Euler Equations
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    Chapter 5 Notions on Numerical Methods
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    Chapter 6 The Method of Godunov for Non—linear Systems
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    Chapter 7 Random Choice and Related Methods
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    Chapter 8 Flux Vector Splitting Methods
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    Chapter 9 Approximate—State Riemann Solvers
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    Chapter 10 The HLL and HLLC Riemann Solvers
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    Chapter 11 The Riemann Solver of Roe
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    Chapter 12 The Riemann Solver of Osher
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    Chapter 13 High–Order and TVD Methods for Scalar Equations
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    Chapter 14 High–Order and TVD Schemes for Non–Linear Systems
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    Chapter 15 Splitting Schemes for PDEs with Source Terms
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    Chapter 16 Methods for Multi–Dimensional PDEs
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    Chapter 17 Multidimensional Test Problems
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    Chapter 18 FORCE Fluxes in Multiple Space Dimensions
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    Chapter 19 The Generalized Riemann Problem
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    Chapter 20 The ADER Approach
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    Chapter 21 Concluding Remarks
Attention for Chapter 5: Notions on Numerical Methods
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