In-cell discontinuous reconstruction path-conservative methods for non conservative hyperbolic systems - Second-order extension

Entropy-stable space-time DG schemes for non-conservative hyperbolic systems

(2017) Andreas Hiltebrand et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

A new comment on the computation of non-conservative products using Roe-type path conservative schemes

(2017) Christophe Chalons et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Numerical methods with controlled dissipation for small-scale dependent shocks

(2014) Philippe G. LeFloch et al.   ACTA NUMERICA

Entropy Conservative and Entropy Stable Schemes for Nonconservative Hyperbolic Systems

(2013) Manuel J. Castro et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Accurate numerical discretizations of non-conservative hyperbolic systems

(2011) Ulrik Skre Fjordholm et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

A comment on the computation of non-conservative products

(2009) Rémi Abgrall 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