Structure Preserving Schemes for Complex Nonlinear Systems (25w5344)

The Institute for Advanced Study in Mathematics will host the "Structure Preserving Schemes for Complex Nonlinear Systems" workshop in Hangzhou, China from June 1 to June 6, 2025.

Scientific computing for complex systems, from computational physics to data science, often rely on the preservation of fundamental principles and certain structures of solutions for stability, accuracy, efficiency, and predictive capability. The importance of structure-preserving numerical methods cannot be overstated. This 5-Day workshop is set to explore the cutting edge of structure-preserving numerical techniques, from energy preservation and invariant domain preservation to time integration and modern machine learning applications. This workshop promises a broad spectrum of methodologies, including positivity-preserving schemes, discrete maximum principles, and energy and entropy-dissipative algorithms, delivered by a stellar lineup of experts. By bridging the gap between diverse scientific domains and nurturing the next generation of researchers, this workshop aims to propel innovation and collaboration. Attendees can expect to gain unparalleled insights into the latest advancements in structure-preserving methods and their applications across various scientific disciplines.

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), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).