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Recent Advances in Numerical Methods for Hyperbolic PDE Systems

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Cover of 'Recent Advances in Numerical Methods for Hyperbolic PDE Systems'

Table of Contents

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    Book Overview
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    Chapter 1 Incomplete Riemann Solvers Based on Functional Approximations to the Absolute Value Function
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    Chapter 2 Entropy–Based Methods for Uncertainty Quantification of Hyperbolic Conservation Laws
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    Chapter 3 Well-Balanced Reconstruction Operator for Systems of Balance Laws: Numerical Implementation
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    Chapter 4 On High-Precision $$L^\infty $$-stable IMEX Schemes for Scalar Hyperbolic Multi-scale Equations
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    Chapter 5 A Staggered Pressure Correction Numerical Scheme to Compute a Travelling Reactive Interface in a Partially Premixed Mixture
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    Chapter 6 New Invariant Domain Preserving Finite Volume Schemes for Compressible Flows
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    Chapter 7 Recent Advances and Complex Applications of the Compressible Ghost-Fluid Method
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    Chapter 8 Entropy Stable Numerical Fluxes for Compressible Euler Equations Which Are Suitable for All Mach Numbers
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    Chapter 9 Residual Based Method for Sediment Transport
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    Chapter 10 Pseudo-compressibility, Dispersive Model and Acoustic Waves in Shallow Water Flows
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    Chapter 11 A Generalised Serre-Green-Naghdi Equations for Variable Rectangular Open Channel Hydraulics and Its Finite Volume Approximation
Attention for Chapter 2: Entropy–Based Methods for Uncertainty Quantification of Hyperbolic Conservation Laws
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