3 papers
math.AP2026
Double screening in the training dynamics of variational physics-informed neural networks for heterogeneous coupled parabolic systems
Ali Ouattara Kouma, Gossrin Jean-Marc Bomisso
We analyze the training dynamics of variational physics-informed neural networks applied to linear coupled parabolic convection--diffusion--reaction systems, called heterogeneous w…
math.NA2026
Modal-Rectification-Based Directional Edge Diffusion for Cartesian Convection--Diffusion Problems
Gossrin Jean-Marc Bomisso, Ali Ouattara Kouma
Centered finite-difference discretizations of convection--diffusion equations may oscillate when convection dominates at the mesh scale. For homogeneous Dirichlet problems with con…
math.AP2026
Maximum principle and local stability for a class of coupled nonlinear thermo--reaction--phase systems
Gossrin Jean-Marc Bomisso, Ali Ouattara Kouma, Marie Esther Anassé
We study a nonlinear coupled system of partial differential equations arising from thermo--reaction--phase models. The system combines a heat diffusion equation, temperature-depend…