Implicit-explicit

Partitioned and implicit-explicit general linear methods for ordinary differential equations

Implicit-explicit (IMEX) time stepping methods can efficiently solve differential equations with both stiff and nonstiff components. IMEX Runge-Kutta methods and IMEX linear multistep methods have been studied in the literature. In this paper we …

A second-order diagonally-implicit-explicit multi-stage integration method

Implicit-explicit time stepping methods have proved useful for efficiently solving problems with both stiff and nonstiff components. IMEX Runge-Kutta methods and IMEX multistep methods have been studied in the literature. But there are no available …