A method for calculating meshless finite difference weights | Zendy

Roberts J. L. | Zendy

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A method for calculating meshless finite difference weights

Author(s) -

Roberts J. L.

Publication year - 2007

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.2169

Subject(s) - mathematics , taylor series , function (biology) , finite difference , finite difference method , gaussian elimination , matrix (chemical analysis) , gaussian , mathematical analysis , series (stratigraphy) , variable (mathematics) , scale (ratio) , limiting , physics , mechanical engineering , paleontology , materials science , quantum mechanics , evolutionary biology , biology , engineering , composite material

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 (ε) by delaying the limiting of ε → 0. The Gaussian Radial Basis function is approximated by a Taylor's series expansion in the variable ε, and the resultant matrix equation is solved using the Fraction Free LU decomposition method. Copyright © 2007 John Wiley & Sons, Ltd.

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