There have appeared in the literature a lot of k-step block methods for solving initial-value
problems. The methods consist in a set of k simultaneous multistep formulas over k non …

Multistep integration methods are being extensively used in the simulations of high
dimensional systems due to their lower computational cost. The block methods were …

There are dozens of block methods in literature intended for solving second order initial-
value problems. This article aimed at the analysis of the efficiency of k-step block methods …

Presented here is a one-step second derivative intra-point block numerical method of
uniform order eight for seeking the solution of stiff systems of ordinary dierential equations …

Implicit block approaches are used by a number of numerical analyzers to model mild,
medium, and hard differential systems. Their excellent stability characteristics, self-starting …

In this paper, we present a continuous block integrator for direct integration of stiff and
oscillatory first-order ordinary differential equations using interpolation and collocation …

A new third derivative hybrid block method is presented for the solution of first order stiff
systems of initial value problems. The main method and additional methods are obtained …

In this paper, we present a family of stiffly stable second derivative block methods (SDBMs)
suitable for solving first-order stiff ordinary differential equations (ODEs). The methods …

In this paper, we derived new hybrid linear multistep methods for the numerical integration of
stiff ordinary differential equations. The hybrid method is derived with the method of …

We consider the development of an eight order Adam's type method, with A-stability property
discussed by expressing them as a one-step method in higher dimension. This makes it …