Arbitrary precision computations of variations of Kansa's method

Leevan Ling

doi:10.1007/978-1-4020-8821-6_5

Arbitrary precision computations of variations of Kansa's method

Leevan Ling^*

^*Corresponding author for this work

Department of Mathematics

Research output: Chapter in book/report/conference proceeding › Conference proceeding › peer-review

Abstract

In this paper, we are interested in some convergent formulations for the unsymmetric collocation method or the so-called Kansa's method. The rates of convergence of two variations of Kansa's method are examined and verified in arbitrary-precision computations.

Original language	English
Title of host publication	Progress on Meshless Methods
Editors	Ferreira Ferreira, E.J. Kansa, G.E. Fasshauer, V.M.A. Leitão
Publisher	Springer
Pages	77-83
Number of pages	7
ISBN (Print)	9781402088209
DOIs	https://doi.org/10.1007/978-1-4020-8821-6_5
Publication status	Published - 2009
Event	2nd ECCOMAS Thematic Conference on Meshless Methods, 2007 - Porto, Portugal Duration: 9 Jul 2007 → 11 Jul 2007

Publication series

Name	Computational Methods in Applied Sciences
Volume	11
ISSN (Print)	1871-3033

Conference

Conference	2nd ECCOMAS Thematic Conference on Meshless Methods, 2007
Country/Territory	Portugal
City	Porto
Period	9/07/07 → 11/07/07

Scopus Subject Areas

Civil and Structural Engineering
Modelling and Simulation
Biomedical Engineering
Computer Science Applications
Fluid Flow and Transfer Processes
Computational Mathematics
Electrical and Electronic Engineering

User-Defined Keywords

Convergence
Error bounds
High precision computation
Kansa's method
Radial basis function

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10.1007/978-1-4020-8821-6_5

Cite this

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title = "Arbitrary precision computations of variations of Kansa's method",

abstract = "In this paper, we are interested in some convergent formulations for the unsymmetric collocation method or the so-called Kansa's method. The rates of convergence of two variations of Kansa's method are examined and verified in arbitrary-precision computations.",

keywords = "Convergence, Error bounds, High precision computation, Kansa's method, Radial basis function",

author = "Leevan Ling",

note = "Publisher Copyright: {\textcopyright} Springer Science + Business Media B.V. 2009.; 2nd ECCOMAS Thematic Conference on Meshless Methods, 2007 ; Conference date: 09-07-2007 Through 11-07-2007",

year = "2009",

doi = "10.1007/978-1-4020-8821-6_5",

language = "English",

isbn = "9781402088209",

series = "Computational Methods in Applied Sciences",

publisher = "Springer",

pages = "77--83",

editor = "Ferreira Ferreira and E.J. Kansa and G.E. Fasshauer and V.M.A. Leit{\~a}o",

booktitle = "Progress on Meshless Methods",

}

Ling, L 2009, Arbitrary precision computations of variations of Kansa's method. in F Ferreira, EJ Kansa, GE Fasshauer & VMA Leitão (eds), Progress on Meshless Methods. Computational Methods in Applied Sciences, vol. 11, Springer, pp. 77-83, 2nd ECCOMAS Thematic Conference on Meshless Methods, 2007, Porto, Portugal, 9/07/07. https://doi.org/10.1007/978-1-4020-8821-6_5

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AB - In this paper, we are interested in some convergent formulations for the unsymmetric collocation method or the so-called Kansa's method. The rates of convergence of two variations of Kansa's method are examined and verified in arbitrary-precision computations.

KW - Convergence

KW - Error bounds

KW - High precision computation

KW - Kansa's method

KW - Radial basis function

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BT - Progress on Meshless Methods

A2 - Ferreira, Ferreira

A2 - Kansa, E.J.

A2 - Fasshauer, G.E.

A2 - Leitão, V.M.A.

PB - Springer

T2 - 2nd ECCOMAS Thematic Conference on Meshless Methods, 2007

Y2 - 9 July 2007 through 11 July 2007

ER -

Arbitrary precision computations of variations of Kansa's method

Abstract

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