| Colloquia New Advanced Integrators for Multiple Time Scale Problems Luan Vu Mathematics and Statistics, Texas Tech University |
Many problems in science and engineering involve multiple physical processes, where complex interactions between these components can result in dynamics over a wide range of time scales. This presents significant challenges for real-time simulation of these multiphysics problems. A prominent example is the existence of vastly differing time scales in atmospheric phenomena, ranging from a relatively slow advection to very fast gravity waves, which poses significant difficulties for real-time simulation of weather and long-term climate predictions. Developing fast and accurate time integration methods is thus crucial for a wide range of applications that rely on simulations of complex multiphysics systems.
In this talk, I will present my recent contributions to developing (construction, analysis, and implementation) new exponential and multirate time integration methods that significantly increase accuracy and efficiency in computational simulations of large-scale multiple time scale/multiphysics problems. I will also demonstrate their performance through numerical experiments across various applications, including visual computing, numerical weather prediction, and computational biology.
This colloquium may be viewed in the TTU Mediasite Catalog.