Article citationsMore>>

Ramos, J.I. and Garcia-Lopez, C.M. (1997) Nonstandard Finite Difference Equations for ODEs and 1-D PDEs Based on Piecewise Linearization. Applied Mathematics and Computations, 86, 11-36.

has been cited by the following article:

• TITLE: The Best Piecewise Linearization of Nonlinear Functions

  AUTHORS: Mohammad Mehdi Mazarei, Ali Asghar Behroozpoor, Ali Vahidian Kamyad

  KEYWORDS: Nonlinear Systems, Piecewise Linearization, Optimization Problem, Linear Programming

  JOURNAL NAME: Applied Mathematics, Vol.5 No.20, November 20, 2014

  ABSTRACT: In this paper, we propose a method for finding the best piecewise linearization of nonlinear functions. For this aim, we try to obtain the best approximation of a nonlinear function as a piecewise linear function. Our method is based on an optimization problem. The optimal solution of this optimization problem is the best piecewise linear approximation of nonlinear function. Finally, we examine our method to some examples.