A method for calculating meshless finite difference weights

Roberts, JL, A method for calculating meshless finite difference weights, International Journal for Numerical Methods in Engineering, 74, (2) pp. 321-336. ISSN 0029-5981 (2008) [Refereed Article]

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Copyright Statement

The definitive published version is available online at: http://interscience.wiley.com

Official URL: http://www.interscience.wiley.com

DOI: doi:10.1002/nme.2169

Abstract

An exact method for calculating the finite difference weights for arbitrary distributed points in multiple dimensions is presented. The method avoids the numerical ill conditioning associated with a small-scale factor () by delaying the limiting of 0. The Gaussian Radial Basis function is approximated by a Taylor's series expansion in the variable , and the resultant matrix equation is solved using the Fraction Free LU decomposition method.

Item Type:	Refereed Article
Keywords:	finite difference, meshless, differential quadrature
Research Division:	Mathematical Sciences
Research Group:	Numerical and Computational Mathematics
Research Field:	Numerical and Computational Mathematics not elsewhere classified
Objective Division:	Expanding Knowledge
Objective Group:	Expanding Knowledge
Objective Field:	Expanding Knowledge in Engineering
Creator:	Roberts, JL (Dr Jason Roberts)
ID Code:	56017
Year Published:	2008
Web of Science^® Times Cited:	1
Deposited By:	Mathematics
Deposited On:	2009-03-20
Last Modified:	2009-07-28
Downloads:	1 View Download Statistics

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