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

Second derivative diagonally implicit multistage integration methods (SDIMSIMs) as a
subclass of second derivative general linear methods (SGLMs) have been divided into four …

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, 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 introduce multivalue second derivative collocation methods for the numerical solution of
stiff ordinary differential equations, also arising from the spatial discretization of time …

Abstract Second derivative GENERAL LINEAR METHODS (SGLMs) as an extension of
GENERAL LINEAR METHODS (GLMs) have been introduced to improve the stability and …

Motivated by the extension of Albrecht approach proposed for Runge–Kutta methods and
general linear methods, we explain the derivation of order conditions, without any restriction …

The paper deals with the construction of explicit Nordsieck second derivative general linear
methods with s stages of order p with and high stage order with inherent Runge–Kutta or …

With the intention of recognising the significance of Indigenous Knowledge Systems (IKS)
added basic education, the South African Department of Basic Education launched the …