research
∙
08/16/2023
B-stability of numerical integrators on Riemannian manifolds
We propose a generalization of nonlinear stability of numerical one-step...
share
research
∙
06/29/2023
Designing Stable Neural Networks using Convex Analysis and ODEs
Motivated by classical work on the numerical integration of ordinary dif...
research
∙
05/01/2023
Predictions Based on Pixel Data: Insights from PDEs and Finite Differences
Neural networks are the state-of-the-art for many approximation tasks in...
research
∙
10/05/2022
Dynamical systems' based neural networks
Neural networks have gained much interest because of their effectiveness...
research
∙
09/02/2022
Using aromas to search for preserved measures and integrals in Kahan's method
The numerical method of Kahan applied to quadratic differential equation...
research
∙
01/31/2022
Learning Hamiltonians of constrained mechanical systems
Recently, there has been an increasing interest in modelling and computa...
research
∙
09/25/2021
Dynamics of the N-fold Pendulum in the framework of Lie Group Integrators
Since their introduction, Lie group integrators have become a method of ...
research
∙
02/25/2021
Lie Group integrators for mechanical systems
Since they were introduced in the 1990s, Lie group integrators have beco...
research
∙
02/23/2021
Equivariant neural networks for inverse problems
In recent years the use of convolutional layers to encode an inductive b...
research
∙
12/21/2020
An integral model based on slender body theory, with applications to curved rigid fibers
We propose a novel integral model describing the motion of curved slende...
research
∙
06/05/2020
Structure preserving deep learning
Over the past few years, deep learning has risen to the foreground as a ...
research
∙
07/27/2019
Computational methods for tracking inertial particles in discrete incompressible flows
Calculating trajectories of small particles in numerical simulations of ...
research
∙
04/11/2019
Deep learning as optimal control problems: models and numerical methods
We consider recent work of Haber and Ruthotto 2017 and Chang et al. 2018...
research
∙
05/23/2018
