Fabian Hornung

Publication Activity (10 Years)

Years Active: 2018-2023
Publications (10 Years): 6

Top Topics

Differential Equations

Top Venues

Adv. Comput. Math.

Publications

Philipp Grohs, Fabian Hornung, Arnulf Jentzen, Philipp Zimmermann
Space-time error estimates for deep neural network approximations for differential equations. Adv. Comput. Math. 49 (1) (2023)
Fabian Hornung, Arnulf Jentzen, Diyora Salimova
Space-time deep neural network approximations for high-dimensional partial differential equations. CoRR (2020)
Christian Beck, Fabian Hornung, Martin Hutzenthaler, Arnulf Jentzen, Thomas Kruse
Overcoming the curse of dimensionality in the numerical approximation of Allen-Cahn partial differential equations via truncated full-history recursive multilevel Picard approximations. J. Num. Math. 28 (4) (2020)
Philipp Grohs, Fabian Hornung, Arnulf Jentzen, Philipp Zimmermann
Space-time error estimates for deep neural network approximations for differential equations. CoRR (2019)
Christian Beck, Fabian Hornung, Martin Hutzenthaler, Arnulf Jentzen, Thomas Kruse
Overcoming the curse of dimensionality in the numerical approximation of Allen-Cahn partial differential equations via truncated full-history recursive multilevel Picard approximations. CoRR (2019)
Philipp Grohs, Fabian Hornung, Arnulf Jentzen, Philippe von Wurstemberger
A proof that artificial neural networks overcome the curse of dimensionality in the numerical approximation of Black-Scholes partial differential equations. CoRR (2018)