Search Results for author: Christian Beck

Found 7 papers, 0 papers with code

The onset of molecule-spanning dynamics in a multi-domain protein

no code implementations20 Oct 2021 Benedikt Sohmen, Christian Beck, Tilo Seydel, Ingo Hoffmann, Bianca Hermann, Mark Nüesch, Marco Grimaldo, Frank Schreiber, Steffen Wolf, Felix Roosen-Runge, Thorsten Hugel

Nano- and picosecond dynamics have been assigned to local fluctuations, while slower dynamics have been attributed to larger conformational changes.

An overview on deep learning-based approximation methods for partial differential equations

no code implementations22 Dec 2020 Christian Beck, Martin Hutzenthaler, Arnulf Jentzen, Benno Kuckuck

It is one of the most challenging problems in applied mathematics to approximatively solve high-dimensional partial differential equations (PDEs).

Deep learning based numerical approximation algorithms for stochastic partial differential equations and high-dimensional nonlinear filtering problems

no code implementations2 Dec 2020 Christian Beck, Sebastian Becker, Patrick Cheridito, Arnulf Jentzen, Ariel Neufeld

In this article we introduce and study a deep learning based approximation algorithm for solutions of stochastic partial differential equations (SPDEs).

Deep splitting method for parabolic PDEs

no code implementations8 Jul 2019 Christian Beck, Sebastian Becker, Patrick Cheridito, Arnulf Jentzen, Ariel Neufeld

In this paper we introduce a numerical method for nonlinear parabolic PDEs that combines operator splitting with deep learning.

Solving the Kolmogorov PDE by means of deep learning

no code implementations1 Jun 2018 Christian Beck, Sebastian Becker, Philipp Grohs, Nor Jaafari, Arnulf Jentzen

Stochastic differential equations (SDEs) and the Kolmogorov partial differential equations (PDEs) associated to them have been widely used in models from engineering, finance, and the natural sciences.

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