Abstract:We consider the strong numerical approximation for a fourth-order stochastic nonlinear SPDE driven by space-time white noise on {$d=1,2,3$}-dimensional torus. We consider its full discretisation with a spectral Galerkin scheme in space and Euler scheme in time. We show the convergence with almost spatial rate $2-\frac{d}{2}$ and $\frac{6-d}{4}$-temporal rate obtained mainly via \it{Stochastic Sewing} technique.
From: Johannes Rimmele [view email]
[v1]
Thu, 30 Jan 2025 10:17:46 UTC (24 KB)
[v2]
Mon, 13 Oct 2025 14:01:41 UTC (25 KB)
[v3]
Wed, 5 Aug 2026 16:23:02 UTC (26 KB)
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