19 citations · 42 across the 11 of their papers we have counts for
3 papers · 2 filters
A Space-Time Discontinuous Petrov-Galerkin Finite Element Formulation for a Modified Schrödinger Equation for Laser Pulse Propagation in Waveguides
Ankit Chakraborty, Judit Munoz-Matute, Leszek Demkowicz +1
In this article, we propose a modified nonlinear Schrödinger equation for modeling pulse propagation in optical waveguides. The proposed model bifurcates into a system of elliptic…
Regularity-Conforming Neural Networks (ReCoNNs) for solving Partial Differential Equations
Jamie M. Taylor, David Pardo, Judit Muñoz-Matute
Whilst the Universal Approximation Theorem guarantees the existence of approximations to Sobolev functions -- the natural function spaces for PDEs -- by Neural Networks (NNs) of su…
Augmenting MRI scan data with real-time predictions of glioblastoma brain tumor evolution using faster exponential time integrators
Magdalena Pabisz, Judit Muñoz-Matute, Maciej Paszyński
We present a MATLAB code for exponential integrators method simulating the glioblastoma tumor growth. It employs the Fisher-Kolmogorov diffusion-reaction tumor brain model with log…