3 papers
math.NA2025
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…
math.NA2025
A New Class of Runge-Kutta Methods for Nonlinearly Partitioned Systems
Tommaso Buvoli, Ben S. Southworth
This work introduces a new class of Runge-Kutta methods for solving nonlinearly partitioned initial value problems. These new methods, named nonlinearly partitioned Runge-Kutta (NP…
math.NA2025
Order Conditions for Nonlinearly Partitioned Runge-Kutta Methods
Brian K. Tran, Ben S. Southworth, Tommaso Buvoli
Recently a new class of nonlinearly partitioned Runge--Kutta (NPRK) methods was proposed for nonlinearly partitioned systems of autonomous ordinary differential equations, $y' = F(…