An orthonormal basis functions method for moment problems.
type: Item
instance of: scholarly article
title: An orthonormal basis functions method for moment problems.
zbMATH Open document ID: 1037.65133
DOI: 10.1016/S0955-7997(02)00032-2
published in: Engineering Analysis with Boundary Elements
publication date: 2003-07-30T00:00:00Z
review text: A new computational method for solving the moment problem is developed by using the orthonormalization technique to obtain a set of orthonormal basis functions. By using the Gram-Schmidt orthonormalization technique, this method is shown to be efficient and can be interpreted as a generalization of the Talenti method. Convergence and error estimates are also discussed. For the purposes of verificaiton and application, the method is applid to solve both Cauchy problem for the Laplace equation and a Fredholm integral equation of the first kind.
Mathematics Subject Classification ID: 65R10
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 44A60
Mathematics Subject Classification ID: 45B05
zbMATH DE Number: 1956761
zbMATH Keywords: orthonormal basis functions method
zbMATH Keywords: moment problem
zbMATH Keywords: Gram-Schmidt orthonormalization
zbMATH Keywords: Talenti method
zbMATH Keywords: convergence
zbMATH Keywords: error estiamtes
zbMATH Keywords: Cauchy problem
zbMATH Keywords: Laplace equation
zbMATH Keywords: Fredholm integral equation of the first kind
author: Y. C. Hon
author: Ting Wei
reviewed by: R. S. Dahiya
MaRDI profile type: Publication
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full work available at URL: s0955-7997(02)00032-2
OpenAlex ID: W2007528031
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description: scientific article; zbMATH DE number 1956761