Novel structure-preserving schemes for stochastic Klein-Gordon-Schrödinger equations with additive noise

DOI10.1016/j.jcp.2023.112740arXiv2305.05117MaRDI QIDQ6119278

Liying Sun, Jialin Hong, Baohui Hou, Xiao-Jing Zhang

Publication date: 29 February 2024

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.05117

zbMATH Keywords

structure-preserving schemeaveraged energy evolution lawaveraged charge evolution lawstochastic KGS equationssymplecticity and multi-symplecticity

Mathematics Subject Classification ID

Stochastic analysis (60Hxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Probabilistic methods, stochastic differential equations (65Cxx)

Cites Work

• Dynamics of stochastic Klein-Gordon-Schrödinger equations in unbounded domains.
• Random attractors for stochastic discrete Klein-Gordon-Schrödinger equations
• Stochastic conformal schemes for damped stochastic Klein-Gordon equation with additive noise
• Random attractors for the stochastic damped Klein-Gordon-Schrödinger system
• Strong convergence rate of finite difference approximations for stochastic cubic Schrödinger equations
• Finite element approximations of a class of nonlinear stochastic wave equations with multiplicative noise
• On the Klein-Gordon equation with randomized oscillating coefficients on the sphere
• Weak backward error analysis for stochastic Hamiltonian systems
• Averaging principle for multiscale stochastic Klein-Gordon-heat system
• Schrödinger limit of weakly dissipative stochastic Klein-Gordon-Schrödinger equations and large deviations
• Numerical Analysis on Ergodic Limit of Approximations for Stochastic NLS Equation via Multi-symplectic Scheme
• Finite Element Approximation of the Linear Stochastic Wave Equation with Additive Noise
• Spectral Methods for Time-Dependent Problems
• Convergence Analysis of High-Order Time-Splitting Pseudospectral Methods for Nonlinear Schrödinger Equations
• A Trigonometric Method for the Linear Stochastic Wave Equation

This page was built for publication: Novel structure-preserving schemes for stochastic Klein-Gordon-Schrödinger equations with additive noise