Butkovsky, O, Dareiotis, K and Gerencsér, M (2023) Optimal Rate of Convergence for Approximations of SPDEs with Nonregular Drift. SIAM Journal on Numerical Analysis, 61 (2). pp. 1103-1137. ISSN 0036-1429
Abstract
A fully discrete finite difference scheme for stochastic reaction-diffusion equations driven by a 1+1-dimensional white noise is studied. The optimal strong rate of convergence is proved without posing any regularity assumption on the nonlinear reaction term. The proof relies on stochastic sewing techniques.
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | © 2023 Society for Industrial and Applied Mathematics. This is an author produced version of an article published in SIAM Journal on Numerical Analysis. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | SPDE; finite differences; regularization by noise; irregular drift |
Dates: |
|
Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Statistics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 13 Dec 2022 10:11 |
Last Modified: | 02 May 2023 11:59 |
Status: | Published |
Publisher: | Society for Industrial and Applied Mathematics |
Identification Number: | 10.1137/21M1454213 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:193877 |