Circumventing the Ill-conditioning problem with multiquadric radial basis functions: applications to elliptic partial differential equations

E. J. Kansa; Y. C. Hon

doi:10.1016/S0898-1221(00)00071-7

Circumventing the Ill-conditioning problem with multiquadric radial basis functions: applications to elliptic partial differential equations

E. J. Kansa, Y. C. Hon

Department of Mathematics

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

425 Citations (Scopus)

Abstract

In this study, several techniques, each of which improves the conditioning of the coefficient matrix and the solution accuracy, are explored. It is shown that the hybrid combination of such methods contribute to very accurate solutions.

Original language	English
Pages (from-to)	123-137
Journal	Computers and Mathematics with Applications
Volume	39
Issue number	7-8
DOIs	https://doi.org/10.1016/S0898-1221(00)00071-7
Publication status	Published - Apr 2000

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title = "Circumventing the Ill-conditioning problem with multiquadric radial basis functions: applications to elliptic partial differential equations",

abstract = "In this study, several techniques, each of which improves the conditioning of the coefficient matrix and the solution accuracy, are explored. It is shown that the hybrid combination of such methods contribute to very accurate solutions.",

author = "Kansa, {E. J.} and Hon, {Y. C.}",

year = "2000",

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T2 - applications to elliptic partial differential equations

AU - Kansa, E. J.

AU - Hon, Y. C.

PY - 2000/4

Y1 - 2000/4

N2 - In this study, several techniques, each of which improves the conditioning of the coefficient matrix and the solution accuracy, are explored. It is shown that the hybrid combination of such methods contribute to very accurate solutions.

AB - In this study, several techniques, each of which improves the conditioning of the coefficient matrix and the solution accuracy, are explored. It is shown that the hybrid combination of such methods contribute to very accurate solutions.

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U2 - 10.1016/S0898-1221(00)00071-7

DO - 10.1016/S0898-1221(00)00071-7

M3 - RGC 21 - Publication in refereed journal

SN - 0898-1221

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EP - 137

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

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Circumventing the Ill-conditioning problem with multiquadric radial basis functions: applications to elliptic partial differential equations

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