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

1.8k citations

researchers with a paper here

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

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Showing 2018 · math.PRShow all

2 papers · 2 filters

math.PR2018

Exponential moment bounds and strong convergence rates for tamed-truncated numerical approximations of stochastic convolutions

Arnulf Jentzen, Felix Lindner, Primož Pušnik

In this article we establish exponential moment bounds, moment bounds in fractional order smoothness spaces, a uniform Hölder continuity in time, and strong convergence rates for a…

math.PR2018★ 8 cited

Lower and upper bounds for strong approximation errors for numerical approximations of stochastic heat equations

Sebastian Becker, Benjamin Gess, Arnulf Jentzen +1

Optimal upper and lower error estimates for strong full-discrete numerical approximations of the stochastic heat equation driven by space-time white noise are obtained. In particul…