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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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DOI: doi:10.1002/nme.2169


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 Details

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
UTAS Author:Roberts, JL (Dr Jason Roberts)
ID Code:56017
Year Published:2008
Web of Science® Times Cited:2
Deposited By:Mathematics
Deposited On:2009-03-20
Last Modified:2015-01-26
Downloads:1 View Download Statistics

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