A Low-Rank Projector-Splitting Integrator for the Vlasov--Poisson Equation

DOI10.1137/18M116383XzbMath1408.35187arXiv1801.01103WikidataQ129105165 ScholiaQ129105165MaRDI QIDQ4691172

Publication date: 19 October 2018

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.01103

zbMATH Keywords

Vlasov-Poisson equation two-stream instability linear Landau damping dynamical low-rank approximation projector-splitting integrator plasma echo

Mathematics Subject Classification ID

Statistical mechanics of plasmas (82D10) Multilinear algebra, tensor calculus (15A69) Vlasov equations (35Q83)

Related Items

A low-rank method for two-dimensional time-dependent radiation transport calculations, On the Stability of Robust Dynamical Low-Rank Approximations for Hyperbolic Problems, An asymptotic-preserving dynamical low-rank method for the multi-scale multi-dimensional linear transport equation, A mass, momentum, and energy conservative dynamical low-rank scheme for the Vlasov equation, A high-order/low-order (HOLO) algorithm for preserving conservation in time-dependent low-rank transport calculations, A low-rank Lie-Trotter splitting approach for nonlinear fractional complex Ginzburg-Landau equations, A low rank tensor representation of linear transport and nonlinear Vlasov solutions and their associated flow maps, An adaptive dynamical low rank method for the nonlinear Boltzmann equation, A parallel low-rank solver for the six-dimensional Vlasov-Maxwell equations, A robust collision source method for rank adaptive dynamical low-rank approximation in radiation therapy, Efficient 6D Vlasov simulation using the dynamical low-rank framework \texttt{Ensign}, Low-rank tensor methods for partial differential equations, A dynamical low-rank approach to solve the chemical master equation for biological reaction networks, Sparse grid time-discontinuous Galerkin method with streamline diffusion for transport equations, A Predictor-Corrector Strategy for Adaptivity in Dynamical Low-Rank Approximations, Accelerating the simulation of kinetic shear Alfvén waves with a dynamical low-rank approximation, Dynamical low-rank integrators for second-order matrix differential equations, A Conservative Low Rank Tensor Method for the Vlasov Dynamics, Adaptive symplectic model order reduction of parametric particle-based Vlasov–Poisson equation, Geometric numerical integration. Abstracts from the workshop held March 28 -- April 3, 2021 (hybrid meeting), A robust and conservative dynamical low-rank algorithm, A low-rank projector-splitting integrator for the Vlasov-Maxwell equations with divergence correction, Geometric Methods on Low-Rank Matrix and Tensor Manifolds, Mini-workshop: Computational optimization on manifolds. Abstracts from the mini-workshop held November 15--21, 2020 (online meeting), Time Integration of Tree Tensor Networks, A Low-Rank Algorithm for Weakly Compressible Flow, An Efficient Dynamical Low-Rank Algorithm for the Boltzmann-BGK Equation Close to the Compressible Viscous Flow Regime, Stability properties of a projector-splitting scheme for dynamical low rank approximation of random parabolic equations, Existence of dynamical low-rank approximations to parabolic problems, A Quasi-Conservative Dynamical Low-Rank Algorithm for the Vlasov Equation, A low-rank power iteration scheme for neutron transport criticality problems, Efficient dynamical low-rank approximation for the Vlasov-Ampère-Fokker-Planck system, Dynamical Low-Rank Integrator for the Linear Boltzmann Equation: Error Analysis in the Diffusion Limit, A rank-adaptive robust integrator for dynamical low-rank approximation, A sweep-based low-rank method for the discrete ordinate transport equation, Stable and Efficient Petrov--Galerkin Methods for a Kinetic Fokker--Planck Equation

Uses Software

Cites Work