78 citations · 426 across the 35 of their papers we have counts for
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math.NA2013★ 31 cited
A New Discontinuous Galerkin Finite Element Method for Directly Solving the Hamilton-Jacobi Equations
Yingda Cheng, Zixuan Wang
In this paper, we improve upon the discontinuous Galerkin (DG) method for Hamilton-Jacobi (HJ) equation with convex Hamiltonians in (Y. Cheng and C.-W. Shu, J. Comput. Phys. 223:39…
math.NA2013★ 78 cited
Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system
Yingda Cheng, Andrew J. Christlieb, Xinghui Zhong
In this paper, we propose energy-conserving numerical schemes for the Vlasov-Ampère (VA) systems. The VA system is a model used to describe the evolution of probability density fun…
math.NA2013★ 1 cited
Discontinuous Galerkin Methods for the Vlasov-Maxwell Equations
Yingda Cheng, Irene M. Gamba, Fengyan Li +1
Discontinuous Galerkin methods are developed for solving the Vlasov-Maxwell system, methods that are designed to be systematically as accurate as one wants with provable conservati…