Pathwise convergence of an efficient scheme for SPDEs with non-globally Lipschitz nonlinearity
DOI10.1016/j.amc.2019.02.016zbMath1429.65259OpenAlexW2915338602MaRDI QIDQ2010731
Publication date: 27 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2019.02.016
parabolic stochastic partial differential equationspathwise convergencenon-global Lipschitz condition
Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)
Cites Work
- Unnamed Item
- Strong and weak approximation of semilinear stochastic evolution equations
- A note on an accelerated exponential Euler method for parabolic SPDEs with additive noise
- Efficient simulation of nonlinear parabolic SPDEs with additive noise
- Taylor expansions of solutions of stochastic partial differential equations with additive noise
- An implicit Euler scheme with non-uniform time discretization for heat equations with multiplicative noise
- Rate of convergence of space time approximations for stochastic evolution equations
- Pathwise approximation of stochastic differential equations on domains: Higher order convergence rates without global Lipschitz coefficients
- Pathwise numerical approximations of SPDEs with additive noise under non-global Lipschitz coefficients
- Semigroups of linear operators and applications to partial differential equations
- A note on Euler's approximations
- Lattice approximations for stochastic quasi-linear parabolic partial differential equations driven by space-time white noise. II
- Strong convergence rates for nonlinearity-truncated Euler-type approximations of stochastic Ginzburg-Landau equations
- Numerical approximation for a white noise driven SPDE with locally bounded drift
- Numerical analysis of semilinear stochastic evolution equations in Banach spaces
- Approximation for semilinear stochastic evolution equations
- A concise course on stochastic partial differential equations
- A method for solving stochastic equations by reduced order models and local approximations
- An Introduction to Computational Stochastic PDEs
- Higher Order Pathwise Numerical Approximations of SPDEs with Additive Noise
- Overcoming the order barrier in the numerical approximation of stochastic partial differential equations with additive space–time noise
- Postprocessing for Stochastic Parabolic Partial Differential Equations
- Galerkin Finite Element Methods for Stochastic Parabolic Partial Differential Equations
- Dynamics of evolutionary equations
- Stochastic Equations in Infinite Dimensions
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