Strong approximation of monotone stochastic partial differential equations driven by multiplicative noise
DOI10.1007/s40072-020-00179-2zbMath1476.65243arXiv1811.05392OpenAlexW3102040787MaRDI QIDQ2062275
Publication date: 27 December 2021
Published in: Stochastic and Partial Differential Equations. Analysis and Computations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.05392
Galerkin finite element methodEuler schemeMilstein schemestochastic Allen-Cahn equationmonotone stochastic partial differential equation
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) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35)
Related Items
Cites Work
- Consistency and stability of a Milstein-Galerkin finite element scheme for semilinear SPDE
- Stochastic partial differential equations: an introduction
- Convergence of the stochastic Euler scheme for locally Lipschitz coefficients
- Rate of convergence of space time approximations for stochastic evolution equations
- Semigroups of linear operators and applications to partial differential equations
- A \(W_ 2^ n\)-theory of the Dirichlet problem for SPDEs in general smooth domains
- Optimal strong rates of convergence for a space-time discretization of the stochastic Allen-Cahn equation with multiplicative noise
- Well-posedness and optimal regularity of stochastic evolution equations with multiplicative noises
- Strong convergence rate of splitting schemes for stochastic nonlinear Schrödinger equations
- Strong convergence rates for nonlinearity-truncated Euler-type approximations of stochastic Ginzburg-Landau equations
- Strong convergence rate of finite difference approximations for stochastic cubic Schrödinger equations
- On a perturbation theory and on strong convergence rates for stochastic ordinary and partial differential equations with nonglobally monotone coefficients
- \(L^p\)-estimates and regularity for SPDEs with monotone semilinearity
- An efficient explicit full-discrete scheme for strong approximation of stochastic Allen-Cahn equation
- Lower and upper bounds for strong approximation errors for numerical approximations of stochastic heat equations
- Optimal error estimates of Galerkin finite element methods for stochastic Allen-Cahn equation with additive noise
- A Milstein scheme for SPDEs
- Optimal regularity of stochastic evolution equations in M-type 2 Banach spaces
- Lower bounds and nonuniform time discretization for approximation of stochastic heat equations
- Well-posedness of stochastic partial differential equations with Lyapunov condition
- From Rough Path Estimates to Multilevel Monte Carlo
- Order of Convergence of Splitting Schemes for Both Deterministic and Stochastic Nonlinear Schrödinger Equations
- Semigroup Splitting and Cubature Approximations for the Stochastic Navier–Stokes Equations
- On the Backward Euler Approximation of the Stochastic Allen-Cahn Equation
- Finite Element Methods for the Stochastic Allen--Cahn Equation with Gradient-type Multiplicative Noise
- On the discretisation in time of the stochastic Allen–Cahn equation
- Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations
- Approximating Stochastic Evolution Equations with Additive White and Rough Noises
- Strong approximation of monotone stochastic partial differential equations driven by white noise
- Wong--Zakai Approximations of Stochastic Allen-Cahn Equation
- Strong and Weak Convergence Rates of a Spatial Approximation for Stochastic Partial Differential Equation with One-sided Lipschitz Coefficient
- Strong convergence rates of semidiscrete splitting approximations for the stochastic Allen–Cahn equation
- Optimal error estimates of Galerkin finite element methods for stochastic partial differential equations with multiplicative noise
- On the maximal inequalities of Burkholder, Davis and Gundy