In this paper, we consider a class of k-step linear multistep methods in the form (1.1) of numerical differentiation (N.D.) formulas. For each k, we have required the property of A-stability which ...

This is a preview. Log in through your library . Abstract Finite difference methods, such as the mid-point rule, have been applied successfully to the numerical solution of ordinary and partial ...

Abstract: Numerical differentiation based algorithm for measuring fundamental frequency, amplitude, phase, active and reactive power of power systems is presented in this paper. The numerical ...

Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical approximation of these equations ...

Numerical methods are the backbone of modern engineering and science. They provide computational techniques to approximate solutions for mathematical problems that are too complex, time-consuming, or ...

General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties ...