An adaptive time-stepping method based on a posteriori weak error analysis for large SDE systems
DOI10.1007/s00211-021-01233-4zbMath1491.65016OpenAlexW3207472838MaRDI QIDQ2055987
Publication date: 1 December 2021
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-021-01233-4
Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30) Complexity and performance of numerical algorithms (65Y20)
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Cites Work
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- Optimal strong rates of convergence for a space-time discretization of the stochastic Allen-Cahn equation with multiplicative noise
- Adaptive Euler-Maruyama method for SDEs with nonglobally Lipschitz drift
- Convergence of tamed Euler schemes for a class of stochastic evolution equations
- Weak order for the discretization of the stochastic heat equation
- Weak approximation of stochastic partial differential equations: the nonlinear case
- The Malliavin Calculus and Related Topics
- Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality
- An optimal control approach to a posteriori error estimation in finite element methods
- A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations
- Adaptive time-stepping strategies for nonlinear stochastic systems
- Design and convergence analysis for an adaptive discretization of the heat equation
- Adaptive weak approximation of stochastic differential equations
- An adaptive finite element algorithm with reliable and efficient error control for linear parabolic problems
- An adaptive Euler-Maruyama scheme for SDEs: convergence and stability
- Convergence Rates for Adaptive Weak Approximation of Stochastic Differential Equations
- Expansion of the global error for numerical schemes solving stochastic differential equations
- Book Reviews
- Second order PDE's in finite and infinite dimension
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