Central Schemes for Nonconservative Hyperbolic Systems

On the Convergence and Well-Balanced Property of Path-Conservative Numerical Schemes for Systems of Balance Laws

(2010) María Luz Muñoz-Ruiz et al.   JOURNAL OF SCIENTIFIC COMPUTING

A Simple Extension of the Osher Riemann Solver to Non-conservative Hyperbolic Systems

(2010) Michael Dumbser et al.   JOURNAL OF SCIENTIFIC COMPUTING

On some fast well-balanced first order solvers for nonconservative systems

(2010) Manuel J. Castro et al.   MATHEMATICS OF COMPUTATION

On a Shallow Water Model for the Simulation of Turbidity Currents

(2009) T. Morales de Luna et al.   Communications in Computational Physics

FORCE schemes on unstructured meshes II: Non-conservative hyperbolic systems

(2009) Michael Dumbser et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

ADER schemes on unstructured meshes for nonconservative hyperbolic systems: Applications to geophysical flows

(2009) Michael Dumbser et al.   COMPUTERS & FLUIDS

An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment

(2008) François Bouchut et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Why many theories of shock waves are necessary: Convergence error in formally path-consistent schemes

(2008) Manuel J. Castro et al.   JOURNAL OF COMPUTATIONAL PHYSICS

High Order Extensions of Roe Schemes for Two-Dimensional Nonconservative Hyperbolic Systems

(2008) M. J. Castro et al.   JOURNAL OF SCIENTIFIC COMPUTING

Well-Balanced High Order Extensions of Godunov's Method for Semilinear Balance Laws

(2008) Manuel Castro et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Sediment transport models in Shallow Water equations and numerical approach by high order finite volume methods

(2007) M.J. Castro Díaz et al.   COMPUTERS & FLUIDS