Well-balanced high-order finite-difference methods based on a local flux formulation

Carlos Parés¹, Maria Kazolea², Baifen Ren³

1: Universidad de Málaga, Spain; 2: INRIA Bordeaux, France; 3: Shandong Technology and Business University, China

Entropy analysis and entropy stable DG methods for the shallow water moment equations

Julio Careaga¹, Patrick Ersing², Julian Koellermeier^1,3, Andrew R. Winters²

1: University of Groningen, Netherlands, The; 2: Linköping University, Sweden; 3: Ghent University, Belgium

OEDG: Oscillation-eliminating discontinuous Galerkin method for hyperbolic conservation laws

Manting Peng¹, Zheng Sun², Kailiang Wu^1,3,4

1: Southern University of Science and Technology, China, People's Republic of; 2: The University of Alabama, United States of America; 3: National Center for Applied Mathematics Shenzhen, China; 4: Department of Mathematics and SUSTech International Center for Mathematics, China

Oscillation-eliminating central DG schemes on Cartesian meshes for hyperbolic conservation laws

Manting Peng¹, Kailiang Wu^1,2, Caiyou Yuan¹

1: Department of Mathematics, Southern University of Science and Technology, Shenzhen, China; 2: Shenzhen International Center for Mathematics, Southern University of Science and Technology, Shenzhen, China