3 papers
math.NA2021
Enhanced fifth order WENO Shock-Capturing Schemes with Deep Learning
Tatiana Kossaczká, Matthias Ehrhardt, Michael Günther
In this paper we enhance the well-known fifth order WENO shock-capturing scheme by using deep learning techniques. This fine-tuning of an existing algorithm is implemented by train…
math.NA2021
Higher Strong Order Methods for Itô SDEs on Matrix Lie Groups
Michelle Muniz, Matthias Ehrhardt, Michael Günther +1
In this paper we present a general procedure for designing higher strong order methods for Itô stochastic differential equations on matrix Lie groups and illustrate this strategy w…
math.OC2020
GivEn -- Shape Optimization for Gas Turbines in Volatile Energy Networks
Jan Backhaus, Matthias Bolten, Onur Tanil Doganay +19
This paper describes the project GivEn that develops a novel multicriteria optimization process for gas turbine blades and vanes using modern "adjoint" shape optimization algorithm…