University of Texas at Austin

Upcoming Event: Oden Institute Seminar

Novel Time Integration Methods for Solving Stiff Systems

Tommaso Buvoli, Asistant Professor, Applied mathematics, UC Merced

3:30 – 5PM
Tuesday Dec 7, 2021

POB 6.304 & Zoom

Abstract

** This seminar will be presented LIVE in person in POB 6.304 and streamed live via Zoom.**

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 custom-designed 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. I will show how the polynomial framework naturally incorporates various paradigms such as exponential and additive integration. 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.

Biography

Tommaso Buvoli is a Visiting Assistant Professor in applied mathematics at the University of California, Merced. Previously, he received his PhD in applied mathematics at the University of Washington in 2018 under the supervision of Professor LeVeque. Tommaso Buvoli’s research interests lie at the intersection of numerical analysis, scientific computing and high-performance computing. He develops novel numerical techniques and applies them to model complex systems arising in fields such as weather prediction, combustion, and plasma physics.

Novel Time Integration Methods for Solving Stiff Systems

Event information

Date
3:30 – 5PM
Tuesday Dec 7, 2021
Location POB 6.304 & Zoom
Hosted by Fabrizio Bisetti