Solvability of partial differential equations by meshless kernel methods

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Detail(s)

Original languageEnglish
Pages (from-to)283-299
Journal / PublicationAdvances in Computational Mathematics
Volume28
Issue number3
Publication statusPublished - Apr 2008

Link(s)

DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-40849098576&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(d740171d-b116-43e6-900a-c14c261a06b1).html

Abstract

This paper first provides a common framework for partial differential equation problems in both strong and weak form by rewriting them as generalized interpolation problems. Then it is proven that any well-posed linear problem in strong or weak form can be solved by certain meshless kernel methods to any prescribed accuracy. © 2006 Springer Science+Business Media B.V.

Research Area(s)

  • Kernel, Meshless, Partial differential equations, Solvability

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Publication fingerprints text

100
Partial Differentia... Mathematics
100
Solvability Mathematics
100
Weak Form Mathematics
100
Kernel Method Mathematics
100
Strong Form Mathematics
50
Linear Problem Mathematics
50
Interpolation Probl... Mathematics
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Citation Format(s)

[ RIS ] [ BibTeX ]
Solvability of partial differential equations by meshless kernel methods. / Hon, Y. C.; Schaback, Robert.
In: Advances in Computational Mathematics, Vol. 28, No. 3, 04.2008, p. 283-299.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review