19 citations · 36 across the 10 of their papers we have counts for
4 papers · 1 filter
Adaptive sparse grid discontinuous Galerkin method: review and software implementation
Juntao Huang, Wei Guo, Yingda Cheng
This paper reviews the adaptive sparse grid discontinuous Galerkin (aSG-DG) method for computing high dimensional partial differential equations (PDEs) and its software implementat…
A Local Macroscopic Conservative (LoMaC) low rank tensor method with the discontinuous Galerkin method for the Vlasov dynamics
Wei Guo, Jannatul Ferdous Ema, Jing-Mei Qiu
In this paper, we propose a novel Local Macroscopic Conservative (LoMaC) low rank tensor method with discontinuous Galerkin (DG) discretization for the physical and phase spaces fo…
A Local Macroscopic Conservative (LoMaC) low rank tensor method for the Vlasov dynamics
Wei Guo, Jing-Mei Qiu
In this paper, we propose a novel Local Macroscopic Conservative (LoMaC) low rank tensor method for simulating the Vlasov-Poisson (VP) system. The LoMaC property refers to the exac…
A conservative low rank tensor method for the Vlasov dynamics
Wei Guo, Jing-Mei Qiu
In this paper, we propose a conservative low rank tensor method to approximate nonlinear Vlasov solutions. The low rank approach is based on our earlier work (arxiv: 2106.08834). I…