Data mining techniques for numerical approximations analysis: A test case of asymptotic solutions to the Vlasov-Maxwell equations [Méthodes de data mining pour l'analyse d'approximations numériques: Le cas de solutions asymptotiques des équations de Vlasov-Maxwell]

摘要

We propose a novel approach that consists in using data mining techniques to perform a sensitivity analysis of approximate models. We give here the example of asymptotic solutions to Vlasov-Maxwell equations, obtained with a paraxial model for relativistic short beams. This new heuristic approach offers new potential applications to treat numerical solutions to mathematical models.