Abstract. The subject of our research is to solve accurately ODEs, which appear in mathematical models arising from several physical pro- cesses.

The subject of our research is to solve accurately ODEs, which appear in mathematical models arising from several physical processes.

In this paper, we deduce higher order error bounds for iterative operator splitting methods for time-irreversible systems of linear advection-diffusion ...

The aim of this paper is to present a new iterative method based on operator- splitting methods for partial differential equations. In a first paper, we focus.

In this paper we describe advanced operator-splitting meth-ods for more accurate and exact decoupling of stiff systems. We deal with 2 stiff operators and ...

They are based on weighted iterative operator-splitting methods and decouple complicate problems in simpler problems. The stability of the weighted splitting ...

In this paper we describe advanced operator-splitting methods for more accurate and exact decoupling of stiff systems. We deal with stiff operators and ...

|a In this paper we describe advanced operator-splitting methods for more accurate and exact decoupling of stiff systems. We deal with stiff operators and ...

In this paper we design higher-order time integrators for systems of stiff ordinary differential equations. We combine implicit Runge–Kutta and BDF methods ...

In this paper we present a stabilization theory of iterative operator-splitting methods for linear and nonlinear differential equations.