Exponential integrator for stochastic strongly damped wave equation based on the Wong-Zakai approximation
DOI10.1016/j.cam.2023.115459zbMath1526.65048OpenAlexW4384927197MaRDI QIDQ6049277
Publication date: 17 October 2023
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2023.115459
strong convergencespectral Galerkin methodwhite noisespace-timeWong-Zakai approximationexponential Euler schemeexponential trapezoidal scheme
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) White noise theory (60H40) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) 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)
Cites Work
- Unnamed Item
- Unnamed Item
- Strong and weak convergence order of finite element methods for stochastic PDEs with spatial white noise
- Existence of solutions to strongly damped quasilinear wave equations
- An accelerated exponential time integrator for semi-linear stochastic strongly damped wave equation with additive noise
- Random attractor of the stochastic strongly damped wave equation
- Stochastic partial differential equations: an introduction
- On the Schrödinger equation and the eigenvalue problem
- Weak convergence rates for spatial spectral Galerkin approximations of semilinear stochastic wave equations with multiplicative noise
- Stochastic partial differential equations. A modeling, white noise functional approach
- On the gap between deterministic and stochastic ordinary differential equations
- Finite fractal dimension of random attractor for stochastic non-autonomous strongly damped wave equation
- On the strongly damped wave equation
- Numerical simulation of two-dimensional sine-Gordon solitons via a split cosine scheme
- On the relation between the Stratonovich and Ogawa integrals
- Maximum-norm estimates for finite-element methods for a strongly damped wave equation
- Gaussian approximations of Brownian motion in a stochastic integral
- Wong-Zakai approximations for stochastic differential equations
- Strong 1.5 order scheme for second-order stochastic differential equations without Levy area
- Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise
- Numerical methods for stochastic partial differential equations with white noise
- A concise course on stochastic partial differential equations
- Spectral Galerkin method for stochastic wave equations driven by space-time white noise
- Existence and Asymptotic Behavior for a Strongly Damped Nonlinear Wave Equation
- Stochastic Differential Equations in Infinite Dimensions
- Smooth attractors for strongly damped wave equations
- RANDOM ATTRACTORS FOR DAMPED STOCHASTIC WAVE EQUATIONS WITH MULTIPLICATIVE NOISE
- Overcoming the order barrier in the numerical approximation of stochastic partial differential equations with additive space–time noise
- Stochastic partial differential equations and filtering of diffusion processes
- Finite element approximations for second-order stochastic differential equation driven by fractional Brownian motion
- Galerkin Finite Element Approximations for Stochastic Space-Time Fractional Wave Equations
- Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations
- Numerical Approximation of Some Linear Stochastic Partial Differential Equations Driven by Special Additive Noises
- Ergodicity for Infinite Dimensional Systems
- On inverse initial value problems for the stochastic strongly damped wave equation
- Lattice Boltzmann Model for Time-Fractional Nonlinear Wave Equations
- Stochastic Equations in Infinite Dimensions
- Higher Order Strong Approximations of Semilinear Stochastic Wave Equation with Additive Space-time White Noise
- Random Attractor for Damped Nonlinear Wave Equations with White Noise
- On the Convergence of Ordinary Integrals to Stochastic Integrals
- Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz Constants
- Finite-Element Methods for a Strongly Damped Wave Equation
- Error estimates of finite element method for semilinear stochastic strongly damped wave equation
This page was built for publication: Exponential integrator for stochastic strongly damped wave equation based on the Wong-Zakai approximation