Preface to the special issue “Recent Advances in Numerical Methods for Hyperbolic Partial Differential Equations”
Stability analysis and error estimates of local discontinuous Galerkin methods with implicit–explicit time-marching for nonlinear convection–diffusion problems
A positivity preserving and well-balanced DG scheme using finite volume subcells in almost dry regions
Geometry effects in nodal discontinuous Galerkin methods on curved elements that are provably stable
A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations
Numerical solution of Navier–Stokes–Korteweg systems by Local Discontinuous Galerkin methods in multiple space dimensions
A space-time discontinuous Galerkin method for Boussinesq-type equations
Approximate Osher–Solomon schemes for hyperbolic systems
A HLLC scheme for Ripa model
Roe-type schemes for shallow water magnetohydrodynamics with hyperbolic divergence cleaning
Handling the divergence constraints in Maxwell and Vlasov–Maxwell simulations
Finite-volume schemes for Friedrichs systems with involutions
The structure of well-balanced schemes for Friedrichs systems with linear relaxation
Finite volume WENO methods for hyperbolic conservation laws on Cartesian grids with adaptive mesh refinement
A conservative, weakly nonlinear semi-implicit finite volume scheme for the compressible Navier−Stokes equations with general equation of state
Impact of transversal traveling surface waves in a non-zero pressure gradient turbulent boundary layer flow
Direct numerical simulations for multiphase flows: An overview of the multiphase code FS3D
Modeling droplet phase change in the presence of a multi-component gas mixture
Brain venous haemodynamics, neurological diseases and mathematical modelling. A review