4 papers · 1 filter
A meshfree solver for coupled bulk-surface problems with self-organizing surface geometry
Lennart J. Schulze, Alejandra Foggia, Ivo F. Sbalzarini
In many systems, the interaction between a deformable surface or interface and the surrounding bulk fluid is coupled with intrinsic spatiotemporal dynamics within the moving surfac…
The Push-Forward Transform for Continuous and Robust Comparison of Dynamic Shapes
Roua Rouatbi, Juan-Esteban Suarez Cardona, Ivo F. Sbalzarini
We introduce a mathematical framework for shape comparison based on mapping functions from the shape domain to a common reference domain. This Push-Forward Transform enables invari…
Globally Adaptive and Locally Regular Point Discretization of Implicit Surface Geometries
Lennart J. Schulze, Ivo F. Sbalzarini
Point discretization of implicitly defined curved surfaces is required throughout computer-aided design, engineering analysis, and scientific computing. These applications often im…
Chemical Reaction Networks Learn Better than Spiking Neural Networks
Sophie Jaffard, Ivo F. Sbalzarini
We mathematically prove that chemical reaction networks without hidden layers can solve tasks for which spiking neural networks require hidden layers. Our proof uses the determinis…