We investigate strong stability preserving (SSP) general linear methods (GLMs) for systems
of ordinary differential equations. Such methods are obtained by the solution of 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 …

In this paper we investigate the strong stability preserving (SSP) property of transformed
diagonally implicit multistage integration methods (DIMSIMs). Within this class, examples of …

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 …

Abstract Alternating Directions Implicit (ADI) integration is an operator splitting approach to
solve parabolic and elliptic partial differential equations in multiple dimensions based on …

We investigate strong stability preserving (SSP) implicit-explicit (IMEX) methods for
partitioned systems of differential equations with stiff and nonstiff subsystems. Conditions for …

This paper studies fixed-step convergence of implicit-explicit general linear methods. We
focus on a subclass of schemes that is internally consistent, has high stage order, and …

We consider the class of implicit–explicit (IMEX) general linear methods (GLMs) to construct
methods where the explicit part has strong stability preserving (SSP) property, while the …

High-order discretizations of partial differential equations (PDEs) necessitate high-order time
integration schemes capable of handling both stiff and nonstiff operators in an efficient …