Convergence analysis for a second-order elliptic equation by a collocation method using scattered points

Changho Kim; Sangdong Kim; Yong Hun Lee; Jungho Yoon

doi:10.1016/j.cam.2005.03.002

Convergence analysis for a second-order elliptic equation by a collocation method using scattered points

Changho Kim, Sangdong Kim, Yong Hun Lee, Jungho Yoon

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

A collocation method using scattered points applied to a second-order elliptic differential equation is analyzed by establishing a new quadrature formula for the space of the polynomials. We show that a polynomial solution possesses stability and preserves a similar convergence property occurred in the classical high order collocation method.

Original language	English
Pages (from-to)	450-465
Number of pages	16
Journal	Journal of Computational and Applied Mathematics
Volume	186
Issue number	2
DOIs	https://doi.org/10.1016/j.cam.2005.03.002
State	Published - 15 Feb 2006

Keywords

Collocation
Kernel 3
Numerical quadrature
Scattered points

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10.1016/j.cam.2005.03.002

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title = "Convergence analysis for a second-order elliptic equation by a collocation method using scattered points",

abstract = "A collocation method using scattered points applied to a second-order elliptic differential equation is analyzed by establishing a new quadrature formula for the space of the polynomials. We show that a polynomial solution possesses stability and preserves a similar convergence property occurred in the classical high order collocation method.",

keywords = "Collocation, Kernel 3, Numerical quadrature, Scattered points",

author = "Changho Kim and Sangdong Kim and Lee, {Yong Hun} and Jungho Yoon",

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T1 - Convergence analysis for a second-order elliptic equation by a collocation method using scattered points

AU - Kim, Changho

AU - Kim, Sangdong

AU - Lee, Yong Hun

AU - Yoon, Jungho

PY - 2006/2/15

Y1 - 2006/2/15

N2 - A collocation method using scattered points applied to a second-order elliptic differential equation is analyzed by establishing a new quadrature formula for the space of the polynomials. We show that a polynomial solution possesses stability and preserves a similar convergence property occurred in the classical high order collocation method.

AB - A collocation method using scattered points applied to a second-order elliptic differential equation is analyzed by establishing a new quadrature formula for the space of the polynomials. We show that a polynomial solution possesses stability and preserves a similar convergence property occurred in the classical high order collocation method.

KW - Collocation

KW - Kernel 3

KW - Numerical quadrature

KW - Scattered points

UR - http://www.scopus.com/inward/record.url?scp=26444574734&partnerID=8YFLogxK

U2 - 10.1016/j.cam.2005.03.002

DO - 10.1016/j.cam.2005.03.002

M3 - Article

AN - SCOPUS:26444574734

SN - 0377-0427

VL - 186

SP - 450

EP - 465

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 2

ER -

Convergence analysis for a second-order elliptic equation by a collocation method using scattered points

Abstract

Keywords

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