AN IMPLEMENTATION OF THE COLLOCATION METHOD FOR INITIAL VALUE PROBLEMS-Reference-Cited by-同舟云学术

AN IMPLEMENTATION OF THE COLLOCATION METHOD FOR INITIAL VALUE PROBLEMS

Published:2013-06 Issue:02 Volume:04 Page:1350006
ISSN:1793-9623
Container-title:International Journal of Modeling, Simulation, and Scientific Computing
language:en
Short-container-title:Int. J. Model. Simul. Sci. Comput.

Author:

CAMPOS RAFAEL G.¹,MOTA FRANCISCO DOMÍNGUEZ¹

Affiliation:

1. Facultad de Ciencias Físico-Matemáticas, Universidad Michoacana, 58060, Morelia, Mich., México

Abstract

An implementation of the standard collocation method based on polynomial interpolation is presented in a matrix framework in this paper. The underlying differentiation matrix can be partitioned to yield a superconvergent implicit multistep-like method to solve the initial value problem numerically. The first- and second-order versions of this method are L-stable.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computer Science Applications,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793962313500062

Reference15 articles.

1. A MATLAB differentiation matrix suite

2. Spectral Methods

3. Lagrangian interpolation and differentiation

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