Strong convergence rate of an exponentially integrable scheme for stochastic nonlinear wave equation
DOI10.3934/CAC.2024011MaRDI QIDQ6616136
Jianbo Cui, Lihai Ji, Jialin Hong, Liying Sun
Publication date: 8 October 2024
Published in: Communications on Analysis and Computation (Search for Journal in Brave)
strong convergencespectral Galerkin methodcubic nonlinearitystochastic wave equationexponential integrability propertyenergy evolution law
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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
- Analysis and discretization of semi-linear stochastic wave equations with cubic nonlinearity and additive space-time noise
- Asymptotics of solutions to semilinear stochastic wave equations
- Exponential integrability and transportation cost related to logarithmic Sobolev inequalities
- Logarithmic Sobolev inequalities and exponential integrability
- Exponential integrability and application to stochastic quantization
- Nonlinear stochastic wave and heat equations
- Strong convergence rate of splitting schemes for stochastic nonlinear Schrödinger equations
- Stochastic wave equations with polynomial nonlinearity
- Strong convergence rate of finite difference approximations for stochastic cubic Schrödinger equations
- Difference methods for time discretization of spectral fractional stochastic wave equation
- On a perturbation theory and on strong convergence rates for stochastic ordinary and partial differential equations with nonglobally monotone coefficients
- Weak convergence of finite element approximations of linear stochastic evolution equations with additive noise. II: Fully discrete schemes
- Spectral Galerkin method for stochastic wave equations driven by space-time white noise
- Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise.
- A fully discrete approximation of the one-dimensional stochastic wave equation
- Finite Element Approximation of the Linear Stochastic Wave Equation with Additive Noise
- Hölder-Sobolev regularity of the solution to the stochastic wave equation in dimension three
- On Rational Approximations of Semigroups
- Analysis of a Splitting Scheme for Damped Stochastic Nonlinear Schrödinger Equation with Multiplicative Noise
- Weak Error Estimates for Trajectories of SPDEs Under Spectral Galerkin Discretization
- A Trigonometric Method for the Linear Stochastic Wave Equation
- Strong Convergence of a Verlet Integrator for the Semilinear Stochastic Wave Equation
- Strong Convergence of Full Discretization for Stochastic Cahn--Hilliard Equation Driven by Additive Noise
- Strong convergence rates of semidiscrete splitting approximations for the stochastic Allen–Cahn equation
- Finite-difference schemes for nonlinear wave equation that inherit energy conservation property
- Newton's method for stochastic semilinear wave equations driven by multiplicative time‐space noise
- Exponential integrator for stochastic strongly damped wave equation based on the Wong-Zakai approximation
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