Pathwise uniform convergence of time discretization schemes for SPDEs

Journal Article (2024)
Author(s)

Katharina Klioba (TU Delft - Analysis, Hamburg University of Technology)

M.C. Veraar (TU Delft - Analysis)

Research Group
Analysis
DOI related publication
https://doi.org/10.1093/imanum/drae055
More Info
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Publication Year
2024
Language
English
Research Group
Analysis
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Abstract

In this paper we prove convergence rates for time discretization schemes for semilinear stochastic evolution equations with additive or multiplicative Gaussian noise, where the leading operator is the generator of a strongly continuous semigroup on a Hilbert space ⁠, and the focus is on nonparabolic problems. The main results are optimal bounds for the uniform strong error...