This work focuses on the development of a new class of high-order accurate methods for
multirate time integration of systems of ordinary differential equations. Unlike other recent …

This paper deals with the numerical solution of systems of differential equations with a stiff
part and a non-stiff one, typically arising from the semi-discretization of certain partial …

The interest in implicit-explicit (IMEX) integration methods has emerged as an alternative for
dealing in a computationally cost-effective way with stiff ordinary differential equations …

In this paper we generalize the polynomial time integration framework to additively
partitioned initial value problems. The framework we present is general and enables the …

In this paper, we discuss the construction of a class of implicit-explicit (IMEX) methods for
systems of ordinary differential equations which their right hand side can be split into two …

We consider the class of implicit–explicit general linear methods (IMEX). Such schemes are
designed for ordinary differential equation systems with right hand side function splitted into …

Dynamical systems with sub-processes evolving on many different time scales are
ubiquitous in applications. Their efficient solution is greatly enhanced by automatic time step …

In numerical time-integration with implicit-explicit (IMEX) methods, a within-step adaptable
decomposition called residual balanced (RB) decomposition is introduced. This new …

In this paper we investigate a new class of implicit–explicit (IMEX) two-step methods of Peer
type for systems of ordinary differential equations with both non-stiff and stiff parts included …

Many complex applications require the solution of initial-value problems where some
components change fast, while others vary slowly. Multirate schemes apply different step …