Conférences  >  Mathématiques  >  Calcul infinitésimal, équations différentielles et intégrales  >  Mexique

Casa Matemática Oaxaca (CMO)

Trefftz methods are a class of methods for the numerical simulation of problems modeled by differential equations. As opposed to other methods such as finite elements, relying on a unique representation of solutions for all possible equations, Trefftz methods rely on a representation of the solution that is tailored for each particular problem, that is for each differential equation. Thanks to this tailored representation, the methods enjoy desirable properties: they can approximate solutions within a given accuracy using less computational resources than for instance finite element methods. In the past few years, the mathematical community has reached significant breakthroughs to address several challenges attached to the practical performance of Trefftz methods. By gathering experts on these methods, as well as scientists from both academia and industry who use them towards various applications, we have a unique opportunity to exchange about recent developments, stimulate new interactions and shape the future developments on Trefftz methods.

Simulation,    Mathématiques numériques

Casa Matemática Oaxaca (CMO)

Our society faces various grand challenges that it urgently needs to address over the coming years, such as mitigating climate change, combating environmental damage, and providing effective, affordable healthcare for everyone. Data science and Artificial Intelligence are expected to play a key role in successfully tackling many of these challenges. While recent progress in AI was driven mostly by empirical developments, we are entering now a new phase in which questions of trustworthiness, scalability, fairness, privacy, reproducibility, and explainability emerge as key factors. Fundamentally new ideas and approaches are needed to address these open problems, which will require a close collaboration between mathematicians, statisticians, computer scientists, and engineers. This workshop features an interdisciplinary group of exceptional scientists from across the world to present recent developments, foster new interactions, and create novel ideas for the solution of the aforementioned data science problems.

Reconnaissance de formes et traitement d'image, vision par ordinateur,    Calcul scientifique et science des données