443 citations · 2.4k across the 59 of their papers we have counts for
3 papers · 1 filter
Multilevel Picard iterations for solving smooth semilinear parabolic heat equations
Weinan E, Martin Hutzenthaler, Arnulf Jentzen +1
We introduce a new family of numerical algorithms for approximating solutions of general high-dimensional semilinear parabolic partial differential equations at single space-time p…
From Modular to Distributed Open Architectures: A Unified Decision Framework
Babak Heydari, Mohsen Mosleh, Kia Dalili
This paper introduces a conceptual, yet quantifiable, architecture framework by extending the notion of system modularity in its broadest sense. Acknowledging that modularity is no…
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…