1 citations · 1 across the 6 of their papers we have counts for
6 papers
Projection-based low-rank assembly in IgA
Tom-Christian Riemer, Martin Stoll
Isogeometric Analysis (IgA) uses the same spline functions to represent the computational domain and to approximate the solution. This allows exact geometry descriptions, but the r…
Adaptive Krylov Methods for Low-Rank Exponential Integrators
Rico Weigel, Tom-Christian Riemer, Martin Stoll
Differential equations arise in numerous applications, particularly within scientific and technical contexts. Systems of stiff, time-dependent ordinary differential equations const…
A Low-Rank tensor framework for THB-Splines
Tom-Christian Riemer, Martin Stoll
We introduce a low-rank framework for adaptive isogeometric analysis with truncated hierarchical B-splines (THB-splines) that targets the main bottleneck of local refinement: memor…
Physics-Informed DeepONets for drift-diffusion on metric graphs: simulation and parameter identification
Jan Blechschmidt, Tom-Christian Riemer, Max Winkler +2
We develop a novel physics informed deep learning approach for solving nonlinear drift-diffusion equations on metric graphs. These models represent an important model class with a…
IETI-based Low-Rank method for PDE-constrained optimization
Alexandra Bünger, Tom-Christian Riemer, Martin Stoll
Isogeometric Analysis (IgA) is a versatile method for the discretization of partial differential equations on complex domains, which arise in various applications of science and en…
Can Vehicle Motion Planning Generalize to Realistic Long-tail Scenarios?
Marcel Hallgarten, Julian Zapata, Martin Stoll +2
Real-world autonomous driving systems must make safe decisions in the face of rare and diverse traffic scenarios. Current state-of-the-art planners are mostly evaluated on real-wor…