In this paper, the implementation of second derivative general linear methods (SGLMs) in a
variable stepsize environment using Nordsieck technique is discussed and various …

It is the purpose of this paper to study the construction and implementation of Nordsieck
second derivative methods for the numerical integration of stiff systems of first order ordinary …

Abstract Theory of general linear methods (GLMs) for the numerical solution of autonomous
system of ordinary differential equations of the form y′= f (y) is extended to include the …

In this paper we describe the construction of second derivative general linear method with
Runge–Kutta stability property preserving the strong stability properties of spatial …

In this paper, by considering the order conditions for second derivative general linear
methods of order p and stage order q= p-1 q= p-1, we investigate construction and …

We study the construction of explicit second derivative general linear methods (SGLMs) with
strong stability preserving (SSP) property which are designed for the numerical solution of …

In this paper, we find sufficient strong stability preserving (SSP) conditions for second
derivative general linear methods (SGLMs). Then we construct some optimal SSP SGLMs of …

We describe an approach to global error estimation for explicit general linear methods. This
approach is based on computation of two numerical solutions by pairs of general linear …

It is our purpose to introduce a simple multistep method based on linear barycentric rational
interpolation for solving ordinary differential equations. Also, we design an adaptive version …

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 …