Recent Advances in Numerical Methods for Hyperbolic PDE Systems

Chapter 1 Incomplete Riemann Solvers Based on Functional Approximations to the Absolute Value Function

Chapter 2 Entropy–Based Methods for Uncertainty Quantification of Hyperbolic Conservation Laws

Chapter 3 Well-Balanced Reconstruction Operator for Systems of Balance Laws: Numerical Implementation

Chapter 4 On High-Precision $$L^\infty $$-stable IMEX Schemes for Scalar Hyperbolic Multi-scale Equations

Chapter 5 A Staggered Pressure Correction Numerical Scheme to Compute a Travelling Reactive Interface in a Partially Premixed Mixture

Chapter 6 New Invariant Domain Preserving Finite Volume Schemes for Compressible Flows

Chapter 7 Recent Advances and Complex Applications of the Compressible Ghost-Fluid Method

Chapter 8 Entropy Stable Numerical Fluxes for Compressible Euler Equations Which Are Suitable for All Mach Numbers

Chapter 10 Pseudo-compressibility, Dispersive Model and Acoustic Waves in Shallow Water Flows

Chapter 11 A Generalised Serre-Green-Naghdi Equations for Variable Rectangular Open Channel Hydraulics and Its Finite Volume Approximation