A central-upwind geometry-preserving method for hyperbolic conservation laws on the sphere

Well-balanced positivity preserving cell-vertex central-upwind scheme for shallow water flows

(2016) Abdelaziz Beljadid et al.   COMPUTERS & FLUIDS

A Geometry-Preserving Finite Volume Method for Compressible Fluids on Schwarzschild Spacetime

(2016) Philippe G. Le Floch et al.   Communications in Computational Physics

Finite volume schemes on Lorentzian manifolds

(2013) P. Amorim et al.   Communications in Mathematical Sciences

Scalar conservation laws on moving hypersurfaces

(2013) Gerhard Dziuk et al.   INTERFACES AND FREE BOUNDARIES

Relativistic Burgers Equations on Curved Spacetimes. Derivation and Finite Volume Approximation

(2012) Philippe G. LeFloch et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system

(2010) Steve Bryson et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

A convergence result for finite volume schemes on Riemannian manifolds

(2009) Jan Giesselmann   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Hyperbolic conservation laws on the sphere. A geometry-compatible finite volume scheme

(2009) Matania Ben-Artzi et al.   JOURNAL OF COMPUTATIONAL PHYSICS