Frontiers

Research on error control method for polynomial approximation based on equal amplitude oscillation theorem

1 Warwick Mathematics Institute, The University of Warwick, Coventry, United Kingdom 2 School of Computer and Information Engineering, Luoyang Institute of Science and Technology, Luoyang, China To ...
JSTOR Daily

AN OPTIMAL ORDER ERROR ANALYSIS OF THE ONE-DIMENSIONAL QUASICONTINUUM APPROXIMATION

We derive a model problem for quasicontinuum approximations that allows a simple, yet insightful, analysis of the optimal-order convergence rate in the continuum limit for both the energy-based ...
IEEE

A fast frequency domain approximation method for variable order fractional calculus operator based on polynomial fitting

Abstract: Fractional calculus and its application has been widely researched, and in most case the order is considered as a constant value. In many application fields the order is variable, and the ...
JSTOR Daily

Bernstein Polynomials Method and it’s Error Analysis for Solving Nonlinear Problems in the Calculus of Variations

This is a preview. Log in through your library . Abstract In this paper, Bernstein polynomials method (BPM) and their operational matrices are adopted to obtain approximate analytical solutions of ...
IEEE

On the Numerical Approximation of First-order Riccati Differential Equations by Two-step Second Derivative Block Method with Bernstein Polynomial Basis

Abstract: A new two-step second derivative block method (TSDBM) using Bernstein polynomial of convergence order six for solving Riccati Differential Equations (RDEs) is presented. The TSDBM is ...