An effective high-order point-collocation numerical approach based on integrated approximants for elliptic differential equations

Mai-Duy, Nam and Tran-Cong, Thanh (2008) An effective high-order point-collocation numerical approach based on integrated approximants for elliptic differential equations. In: Alvarez, Matias P., (ed.) Leading-edge applied mathematical modeling research. Nova Science Publishers, Inc., New York, United States, pp. 215-250. ISBN 1-60021-977-2

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Abstract

This chapter presents the basic features of high-order integral collocation techniques and demonstrates their application to engineering problems. Emphasis is placed on the advantage of the integral collocation approach over the conventional differential approach in the treatment of multiple boundary conditions, complex geometries and domain decompositions.

Item Type:	Book Chapter (Commonwealth Reporting Category B)
Additional Information:	Reprinted with permission from Nova Science Publishers, Inc. from: Mai-Duy, Nam and Tran-Cong, Thanh (2008). An effective high-order point-collocation numerical approach based on integrated approximants for elliptic differential equations. In: Álvarez, Matías P., (ed.). Leading-edge applied mathematical modeling research. Nova Science Publishers, Inc., New York, United States, pp. 215-250. ISBN 1-60021-977-2. Print copy held in USQ Library at call no. 511.8 Lea.
Uncontrolled Keywords:	radial basis functions, chebyshev polynomials, integral collocation formulation, multiple boundary conditions, complex geometries, domain decompositions
Fields of Research (FOR2008):	01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations 09 Engineering > 0915 Interdisciplinary Engineering > 091501 Computational Fluid Dynamics 09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
Subjects:	290000 Engineering and Technology
Socio-Economic Objective (SEO2008):	UNSPECIFIED
ID Code:	4579
Deposited By:	Dr Nam Mai-Duy
Deposited On:	26 May 2009 13:31
Last Modified:	20 Dec 2011 10:25

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