Numerical Treatment of the Loss of Hyperbolicity of the Two-Layer Shallow-Water System

A robust well-balanced scheme for multi-layer shallow water equations

(2010) Vladimir Zeitlin et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

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

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

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

(2009) Michael Dumbser et al.   COMPUTERS & FLUIDS

Two-Layer Shallow Water System: A Relaxation Approach

(2009) Rémi Abgrall et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Central-Upwind Schemes for Two-Layer Shallow Water Equations

(2009) Alexander Kurganov et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

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

A Roe-type scheme for two-phase shallow granular flows over variable topography

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

A new Savage–Hutter type model for submarine avalanches and generated tsunami

(2008) E.D. Fernández-Nieto et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

Existence of a global weak solution for a 2D viscous bi-layer Shallow Water model

(2008) Jean De Dieu Zabsonré et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS