Splitting integrators for linear Vlasov equations with stochastic perturbations
DOI10.3934/jcd.2024014MaRDI QIDQ6616292
David Cohen, Charles-Edouard Bréhier
Publication date: 9 October 2024
Published in: Journal of Computational Dynamics (Search for Journal in Brave)
stochastic partial differential equationstrace formulasplitting schemepreservation propertiespositivity-preserving schemestochastic Vlasov equation
Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Perturbations in context of PDEs (35B20) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30) Positive solutions to PDEs (35B09) Vlasov equations (35Q83) Numerical solutions to abstract evolution equations (65J08)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Propagation of chaos for interacting particles subject to environmental noise
- High-order Hamiltonian splitting for the Vlasov-Poisson equations
- Comparison of Eulerian Vlasov solvers
- Hamiltonian splitting for the Vlasov-Maxwell equations
- Exponential integrators for stochastic Maxwell's equations driven by Itô noise
- On a splitting scheme for the nonlinear Schrödinger equation in a random medium
- Analysis and discretization of semi-linear stochastic wave equations with cubic nonlinearity and additive space-time noise
- The semi-Lagrangian method for the numerical resolution of the Vlasov equation
- Strong convergence rate of splitting schemes for stochastic nonlinear Schrödinger equations
- Numerical simulation of a linear stochastic oscillator with additive noise
- Drift-preserving numerical integrators for stochastic Hamiltonian systems
- Lie-Trotter splitting for the nonlinear stochastic Manakov system
- Weak convergence rates of splitting schemes for the stochastic Allen-Cahn equation
- Conservative semi-Lagrangian schemes for Vlasov equations
- A review on numerical schemes for solving a linear stochastic oscillator
- Structure-preserving Runge-Kutta methods for stochastic Hamiltonian equations with additive noise
- Regularity of stochastic kinetic equations
- A Concise Introduction to Geometric Numerical Integration
- Enhanced Convergence Estimates for Semi-Lagrangian Schemes Application to the Vlasov--Poisson Equation
- Noise Prevents Collapse of Vlasov-Poisson Point Charges
- An Introduction to Computational Stochastic PDEs
- Convergence Rates of the Splitting Scheme for Parabolic Linear Stochastic Cauchy Problems
- Geometric Numerical Integration
- Particle Methods for the One-Dimensional Vlasov–Poisson Equations
- Stochastic Numerics for Mathematical Physics
- Splitting methods
- Higher Order Time Splitting for the Linear Vlasov Equation
- Stochastic Evolution Systems
- Convergence of a Semi-Lagrangian Scheme for the One-Dimensional Vlasov--Poisson System
- Numerical methods for kinetic equations
- Exponential Integrators for Stochastic Schrödinger Equations Driven by Itô Noise
- A Trigonometric Method for the Linear Stochastic Wave Equation
- Drift-preserving numerical integrators for stochastic Poisson systems
- Strong Rates of Convergence of a Splitting Scheme for Schrödinger Equations with Nonlocal Interaction Cubic Nonlinearity and White Noise Dispersion
- Variational integrators for stochastic dissipative Hamiltonian systems
- Convergence of an Operator Splitting Scheme for Abstract Stochastic Evolution Equations
- Stochastic Equations in Infinite Dimensions
- Analysis of an Asymptotic Preserving Scheme for Stochastic Linear Kinetic Equations in the Diffusion Limit
- Strong convergence rates of semidiscrete splitting approximations for the stochastic Allen–Cahn equation
- Splitting Methods for SPDEs: From Robustness to Financial Engineering, Optimal Control, and Nonlinear Filtering
- Convergence Analysis of Strang Splitting for Vlasov-Type Equations
- Convergence of classes of high-order semi-Lagrangian schemes for the Vlasov--Poisson system
- Comparison of Numerical Solutions of the Vlasov Equation with Particle Simulations of Collisionless Plasmas
- Vlasov Models for Laser‐Plasma Interaction
- Analysis of a splitting scheme for a class of nonlinear stochastic Schrödinger equations
- Semi-Lagrangian Vlasov simulation on GPUs
This page was built for publication: Splitting integrators for linear Vlasov equations with stochastic perturbations