Higher order Godunov methods for general systems of hyperbolic conservation laws

A high-wavenumber viscosity for high-resolution numerical methods

Journal of Computational Physics

A quantitative comparison of numerical methods for the compressible Euler equations: fifth-order WENO and piecewise-linear Godunov

Journal of Computational Physics

An unsplit, cell-centered Godunov method for ideal MHD

Journal of Computational Physics

The Riemann problem and a high-resolution Godunov method for a model of compressible two-phase flow

Journal of Computational Physics

Fast computation of multiphase flow in porous media by implicit discontinuous Galerkin schemes with optimal ordering of elements

Journal of Computational Physics

A new TVD-MUSCL scheme for hyperbolic conservation laws

Computers & Mathematics with Applications

A hybrid scheme for gas-dust systems stiffly coupled via viscous drag

Journal of Computational Physics

Multidimensional upwind convection schemes for flow in porous media on structured and unstructured quadrilateral grids

Journal of Computational and Applied Mathematics

Higher Order Multidimensional Upwind Convection Schemes for Flow in Porous Media on Structured and Unstructured Quadrilateral Grids

SIAM Journal on Scientific Computing

An unsplit Godunov method for systems of conservation laws on curvilinear overlapping grids

Mathematical and Computer Modelling: An International Journal