Numerical approximation of nonlinear SPDE's
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Publication:6062437
DOI10.1007/s40072-022-00271-9arXiv2003.06001OpenAlexW3010957109WikidataQ114219492 ScholiaQ114219492MaRDI QIDQ6062437
Noel J. Walkington, Martin Ondreját, Andreas Prohl
Publication date: 30 November 2023
Published in: Stochastic and Partial Differential Equations. Analysis and Computations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.06001
Stochastic analysis (60Hxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Probability theory and stochastic processes (60-XX)
Cites Work
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- Strong and weak approximation of semilinear stochastic evolution equations
- A relatively short proof of Itô's formula for SPDEs and its applications
- Stochastic ferromagnetism. Analysis and numerics
- Finite element approximation of the Navier-Stokes equations
- Rate of convergence of space time approximations for stochastic evolution equations
- Compact sets in the space \(L^ p(0,T;B)\)
- Martingales with values in uniformly convex spaces
- Implicit scheme for stochastic parabolic partial differential equations driven by space-time white noise
- A semi-discrete scheme for the stochastic nonlinear Schrödinger equation
- Optimal strong rates of convergence for a space-time discretization of the stochastic Allen-Cahn equation with multiplicative noise
- Time discrete approximation of weak solutions to stochastic equations of geophysical fluid dynamics and applications
- A concise course on stochastic partial differential equations
- Martingales in Banach Spaces
- Finite-element-based discretizations of the incompressible Navier-Stokes equations with multiplicative random forcing
- On Weak Solutions of Stochastic Differential Equations II
- An Introduction to Computational Stochastic PDEs
- Compactness Properties of the DG and CG Time Stepping Schemes for Parabolic Equations
- Weak approximation of stochastic partial differential equations: the nonlinear case
- On Weak Solutions of Stochastic Differential Equations
- A note on weak solutions to stochastic differential equations
- The Stability in L p and W p 1 of the L 2 -Projection onto Finite Element Function Spaces
- Mixed and Hybrid Finite Element Methods
- Nonnegativity preserving convergent schemes for stochastic porous-medium equations
- Rates of Convergence for Discretizations of the Stochastic Incompressible Navier--Stokes Equations
- Stochastic Equations in Infinite Dimensions
- Erratum: Finite Element Approximation of the Cahn--Hilliard--Cook Equation
- The Mathematical Theory of Finite Element Methods
- Galerkin Finite Element Methods for Stochastic Parabolic Partial Differential Equations
- Lattice approximation for stochastic reaction diffusion equations with one-sided Lipschitz condition
- On the discretization in time of parabolic stochastic partial differential equations
- Stochastic Equations in Infinite Dimensions