1 citations · 1 across the 3 of their papers we have counts for
5 papers
Multirate Runge-Kutta for Nonlinearly Partitioned Systems
Tommaso Buvoli, Brian K. Tran, Ben S. Southworth
Multirate integration is an increasingly relevant tool that enables scientists to simulate multiphysics systems. Existing multirate methods are designed for equations whose fast an…
On the Stability of Exponential Integrators for Non-Diffusive Equations
Tommaso Buvoli, Michael L. Minion
Exponential integrators are a well-known class of time integration methods that have been the subject of many studies and developments in the past two decades. Surprisingly, there…
Constructing Polynomial Block Methods
Tommaso Buvoli
The recently introduced polynomial time integration framework proposes a novel way to construct time integrators for solving systems of first-order ordinary differential equation b…
IMEX Runge-Kutta Parareal for Non-Diffusive Equations
Tommaso Buvoli, Michael L. Minion
Parareal is a widely studied parallel-in-time method that can achieve meaningful speedup on certain problems. However, it is well known that the method typically performs poorly on…
Exponential Polynomial Block Methods
Tommaso Buvoli
In this paper we extend the polynomial time integration framework to include exponential integration for both partitioned and unpartitioned initial value problems. We then demonstr…