A Low-Rank Projector-Splitting Integrator for the Vlasov--Poisson Equation
A Low-Rank Projector-Splitting Integrator for the Vlasov--Poisson Equation is a scholarly work, published in 2018 in ''SIAM Journal on Scientific and Statistical Computing''. The main subjects of the publication include finite element method, projection, phase space, mathematical analysis, discretization, physics, Vlasov equation, Poisson's equation, physics-informed neural networks, tensor decomposition, applied mathematics, and mathematics. In the present paper authors propose a dynamical low-rank approximation to the Vlasov--Poisson equation, with time integration by a particular splitting method.