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

Backward differential formulae (BDF) are the basis of the highly efficient schemes for the
numerical solution of stiff ordinary differential equations for decades. An alternative multistep …

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, 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 …

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 class of implicit–explicit (IMEX) methods for systems of ordinary
differential equations where the explicit part has strong stability preserving (SSP) property …

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

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 …