Solvability of partial differential equations by meshless kernel methods
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
Original language | English |
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Pages (from-to) | 283-299 |
Journal / Publication | Advances in Computational Mathematics |
Volume | 28 |
Issue number | 3 |
Publication status | Published - Apr 2008 |
Link(s)
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
Citation Format(s)
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.
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