Innovative Solutions for Interface Problems using Adaptive Methods and Machine Learning (26w5559)

The Institute for Advanced Study in Mathematics will host the "Innovative Solutions for Interface Problems using Adaptive Methods and Machine Learning" workshop in Hangzhou, China from May 24 to May 29, 2026.

This workshop brings together leading experts from various fields to explore the latest advancements in the use of approximation theory, computational fluid dynamics, and machine learning to solve complex problems involving discontinuities and interfaces. Participants will explore the complex domain of nonlinear approximation techniques and their wide-ranging applications in various fields. With a focus on addressing challenges posed by discontinuities and interfaces in computational mathematics and engineering, the workshop will explore novel methodologies for approximating the solution of problems with discontinuities and interfaces in general, including innovative solutions for complex partial differential equations and machine learning approaches. This event will facilitate dynamic discussions on the evolution of nonlinear approximation techniques, and also the use of machine learning in the solution of the aforementioned problems, demonstrating their rapid impact on fields such as computational fluid dynamics.

The final objective of this initiative is fostering research collaboration and invites academics, researchers, and professionals to engage in this workshop, where we will collectively navigate the evolving field of nonlinear approximation and its cross-disciplinary applications with the intention of pushing the boundaries of computational mathematics and engineering.

The Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, are collaborative Canada-US-Mexico ventures that provide an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station in Banff is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF) and Alberta Technology and Innovation.