3 papers
math.NA2026
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…
math.NA2026
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…
math.NA2025
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…