19 citations · 36 across the 10 of their papers we have counts for
10 papers
A Local Macroscopic Conservative Low-Rank Discontinuous Galerkin Method for the Vlasov-Poisson Equation with Dougherty-Fokker-Planck Collisions
Austin Nelson, Wei Guo, Pierson Guthrey
In this paper, we construct a low-rank, structure preserving discontinuous Galerkin (DG) method to simulate the Vlasov-Poisson (VP) system coupled with the Dougherty Fokker-Planck…
A Local Macroscopic Conservative (LoMaC) low rank tensor method for the Vlasov-Maxwell system
Shadi Heenatigala, Wei Guo
The main computational challenges of solving the Vlasov-Maxwell (VM) system include the high dimensionality of the phase space, nonlinearity, inherent conservation properties, amon…
High-order Adaptive Rank Integrators for Multi-scale Linear Kinetic Transport Equations in the Hierarchical Tucker Format
William A. Sands, Wei Guo, Jing-Mei Qiu +1
In this paper, we present a new adaptive rank approximation technique for computing solutions to the high-dimensional linear kinetic transport equation. The approach we propose is…
symmetry and quasinormal modes in the self-dual warped AdS black hole
Yuan Chen, Wei Guo, Kai Shi +1
The algebraic approach to the spectrum of quasinormal modes has been made as simple as possible for the BTZ black hole by the strategy developed in \cite{Zhang}. By working with th…
A learned conservative semi-Lagrangian finite volume scheme for transport simulations
Yongsheng Chen, Wei Guo, Xinghui Zhong
Semi-Lagrangian (SL) schemes are known as a major numerical tool for solving transport equations with many advantages and have been widely deployed in the fields of computational f…
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…
A semi-Lagrangian discontinuous Galerkin (DG) -- local DG method for solving convection-diffusion equations
Mingchang Ding, Xiaofeng Cai, Wei Guo +1
In this paper, we propose an efficient high order semi-Lagrangian (SL) discontinuous Galerkin (DG) method for solving linear convection-diffusion equations. The method generalizes…