Stochastic conformal schemes for damped stochastic Klein-Gordon equation with additive noise
type: Item
instance of: scholarly article
title: Stochastic conformal schemes for damped stochastic Klein-Gordon equation with additive noise
zbMATH Open document ID: 1436.35334
author: Mingzhan Song
author: Xu Qian
author: Tianlong Shen
author: Song-He Song
published in: Journal of Computational Physics
publication date: 2020-07-07T00:00:00Z
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 35B06
zbMATH DE Number: 7218417
zbMATH Keywords: damped stochastic Klein-Gordon equation
zbMATH Keywords: stochastic conformal schemes
zbMATH Keywords: stochastic conformal multi-symplectic conservation law
zbMATH Keywords: global momentum evolution law
zbMATH Keywords: mean square convergence
MaRDI profile type: Publication
full work available at URL: j.jcp.2020.109300
OpenAlex ID: W3011109509
cites work: Exponential Energy Decay for Damped Klein–Gordon Equation with Nonlinearities of Arbitrary Growth
cites work: The stochastic nonlinear damped wave equation
cites work: Stochastic nonlinear beam equations
cites work: Invariant measures for stochastic nonlinear beam and wave equations
cites work: Second order conformal symplectic schemes for damped Hamiltonian systems
cites work: Local energy-preserving and momentum-preserving algorithms for coupled nonlinear Schrödinger system
cites work: Preservation of physical properties of stochastic Maxwell equations with additive noise via stochastic multi-symplectic methods
cites work: Decoupled local/global energy-preserving schemes for the \(N\)-coupled nonlinear Schrödinger equations
cites work: A Compact Scheme for Coupled Stochastic Nonlinear Schrödinger Equations
cites work: Sympletic Finite Difference Approximations of the Nonlinear Klein--Gordon Equation
cites work: Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions
cites work: Stochastic Equations in Infinite Dimensions
cites work: RANDOM ATTRACTORS FOR DAMPED STOCHASTIC WAVE EQUATIONS WITH MULTIPLICATIVE NOISE
cites work: An energy-conserving method for stochastic Maxwell equations with multiplicative noise
cites work: Stochastic Multi-Symplectic Integrator for Stochastic Nonlinear Schrödinger Equation
cites work: Strong and weak approximation of semilinear stochastic evolution equations
cites work: Collocation and finite difference-collocation methods for the solution of nonlinear Klein-Gordon equation
cites work: An extended discrete gradient formula for oscillatory Hamiltonian systems
cites work: An introduction to computational stochastic PDEs
cites work: What kinds of dynamics are there? Lie pseudogroups, dynamical systems and geometric integration
cites work: Conformal multi-symplectic integration methods for forced-damped semi-linear wave equations
cites work: Conformal conservation laws and geometric integration for damped Hamiltonian PDEs
cites work: Multi-conformal-symplectic PDEs and discretizations
cites work: Conformal Hamiltonian systems
cites work: The numerical solution of the nonlinear Klein-Gordon and sine-Gordon equations using the Chebyshev tau meshless method
cites work: Numerical solution of damped nonlinear Klein--Gordon equations using variational method and finite element approach
cites work: New travelling wave solutions to the Boussinesq and the Klein-Gordon equations
DOI: 10.1016/J.JCP.2020.109300
Recommended article: Conformal structure‐preserving schemes for damped‐driven stochastic nonlinear Schrödinger equation with multiplicative noise
Recommended article: Q3113895
Recommended article: On the stochastic nonlinear Schrödinger equations with nonsmooth additive noise
Recommended article: Smoluchowski-Kramers approximation for the damped stochastic wave equation with multiplicative noise in any spatial dimension
Recommended article: Convergence of a \(\theta \)-scheme to solve the stochastic nonlinear Schrödinger equation with Stratonovich noise
Recommended article: The discontinuous Galerkin method for stochastic differential equations driven by additive noises
Recommended article: Stochastic Partial Differential Equations with Additive Gaussian Noise
Recommended article: Structure-preserving Runge-Kutta methods for stochastic Hamiltonian equations with additive noise
Recommended article: Higher order stable schemes for stochastic convection–reaction–diffusion equations driven by additive Wiener noise
Recommended article: Convergence of a semi-discrete scheme for the stochastic Korteweg-de Vries equation
description: scientific article; zbMATH DE number 7218417