We present a collection of recent results on the numerical approximation of Volterra integral
equations and integro-differential equations by means of collocation type methods, which …

We investigate implicit–explicit (IMEX) Runge–Kutta (RK) methods for differential systems
with non-stiff and stiff processes. The construction of such methods with large regions of …

We investigate implicit–explicit (IMEX) general linear methods (GLMs) with inherent Runge–
Kutta stability (IRKS) for differential systems with non-stiff and stiff processes. The …

A unified theoretical framework is suggested to examine the energy dissipation properties at
all stages of additive implicit-explicit Runge-Kutta (IERK) methods up to fourth-order …

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 …

Splitting-based time integration approaches such as fractional step, alternating direction
implicit, operator splitting, and locally one dimensional methods partition the system of …

We describe the derivation of order conditions, without restrictions on stage order, for
general linear methods for ordinary differential equations. This derivation is based on the …

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 …

For many systems of differential equations modeling problems in science and engineering,
there are often natural splittings of the right hand side into two parts, one of which is non-stiff …

In this paper we will focus on numerical methods for differential equations with both stiff and
nonstiff parts. This kind of problems can be treated efficiently by implicit-explicit (IMEX) …