23 citations · 106 across the 22 of their papers we have counts for
5 papers · 1 filter
Learning efficient and provably convergent splitting methods
L. M. Kreusser, H. E. Lockyer, E. H. Müller +1
Splitting methods are widely used for solving initial value problems (IVPs) due to their ability to simplify complicated evolutions into more manageable subproblems which can be so…
Parallel-in-Time Solutions with Random Projection Neural Networks
Marta M. Betcke, Lisa Maria Kreusser, Davide Murari
This paper considers one of the fundamental parallel-in-time methods for the solution of ordinary differential equations, Parareal, and extends it by adopting a neural network as a…
A general formulation of reweighted least squares fitting
Carlotta Giannelli, Sofia Imperatore, Lisa Maria Kreusser +3
We present a generalized formulation for reweighted least squares approximations. The goal of this article is twofold: firstly, to prove that the solution of such problem can be ex…
Models for information propagation on graphs
Oliver R. A. Dunbar, Charles M. Elliott, Lisa Maria Kreusser
We propose and unify classes of different models for information propagation over graphs. In a first class, propagation is modelled as a wave which emanates from a set of \emph{kno…
Detection of high codimensional bifurcations in variational PDEs
Lisa Maria Kreusser, Robert I McLachlan, Christian Offen
We derive bifurcation test equations for A-series singularities of nonlinear functionals and, based on these equations, we propose a numerical method for detecting high codimension…