For Zoom Link please contact ddelreyfernandez@uwaterloo.ca
Speaker
Tommaso Buvoli, University of California, Merced
Title
Novel Time Integration Methods for Solving Stiff Systems
Abstract
Many scientific and engineering disciplines depend on efficient numerical methods to model complex physical systems. Since the underlying dynamics frequently involve a range of temporal and spatial scales, specialized methods that can handle numerical challenges such as stiffness and high dimensionality are required. In this talk I will present several novel approaches for constructing time integration techniques that achieve improved efficiency on specific application problems and computational hardware. In particular, I will introduce a framework based on interpolating polynomials that can be used to construct time integrators with desirable properties such as parallelism, high-order of accuracy, and varying degrees of implicitness. In addition I will also discuss the construction of parallel-in-time integrators for non-diffusive systems. Specifically, I will show how convergence and stability analysis can be used to select stable Parareal configurations that allow for massively parallel simulations of hyperbolic and dispersive equations.