output
19992022
most citedSolving high-dimensional partial differential equations using deep learning

1.8k citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2013 · math.NAShow all

2 papers · 2 filters

math.NA2013★ 11 cited

Consistency and Stability of a Milstein-Galerkin Finite Element Scheme for Semilinear SPDE

Raphael Kruse

We present an abstract concept for the error analysis of numerical schemes for semilinear stochastic partial differential equations (SPDEs) and demonstrate its usefulness by provin…

math.NA2013★ 104 cited

Galerkin approximations for the stochastic Burgers equation

Dirk Blömker, Arnulf Jentzen

Existence and uniqueness for semilinear stochastic evolution equations with additive noise by means of finite dimensional Galerkin approximations is established and the convergence…