78 citations · 163 across the 8 of their papers we have counts for
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math.NA2014★ 9 cited
Numerical Study of the Two-Species Vlasov-Ampère System: Energy-Conserving Schemes and the Current-Driven Ion-Acoustic Instability
Yingda Cheng, Andrew J. Christlieb, Xinghui Zhong
In this paper, we propose energy-conserving Eulerian solvers for the two-species Vlasov-Ampère (VA) system and apply the methods to simulate current-driven ion-acoustic instability…
math.NA2014★ 49 cited
Energy-conserving Discontinuous Galerkin Methods for the Vlasov-Maxwell System
Yingda Cheng, Andrew J. Christlieb, Xinghui Zhong
In this paper, we generalize the idea in our previous work for the Vlasov-Ampère (VA) system \cite{cheng_va} and develop energy-conserving discontinuous Galerkin (DG) methods for t…