48 citations · 151 across the 14 of their papers we have counts for
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Space-time deep neural network approximations for high-dimensional partial differential equations
Fabian Hornung, Arnulf Jentzen, Diyora Salimova
It is one of the most challenging issues in applied mathematics to approximately solve high-dimensional partial differential equations (PDEs) and most of the numerical approximatio…
Existence, uniqueness, and numerical approximations for stochastic Burgers equations
Sara Mazzonetto, Diyora Salimova
In this paper we propose an all-in-one statement which includes existence, uniqueness, regularity, and numerical approximations of mild solutions for a class of stochastic partial…
Strong convergence of full-discrete nonlinearity-truncated accelerated exponential Euler-type approximations for stochastic Kuramoto-Sivashinsky equations
Martin Hutzenthaler, Arnulf Jentzen, Diyora Salimova
This article introduces and analyzes a new explicit, easily implementable, and full discrete accelerated exponential Euler-type approximation scheme for additive space-time white n…