Wavelet collocation method and multilevel augmentation method for hammerstein equations

Wavelet collocation method and multilevel augmentation method for hammerstein equations

A wavelet collocation method for nonlinear Hammerstein equations is formulated. A sparsity in the Jacobian matrix is obtained which gives rise to a fast algorithm for nonlinear solvers such as the Newton's method and the quasi-Newton method. A fast multilevel augmentation method is developed on...

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Main Authors: Hideaki Kaneko, Khomsan Neamprem, Boriboon Novaprateep
Other Authors: Old Dominion University
Format: Article
Published: 2018
Subjects:
Mathematics
Online Access:https://repository.li.mahidol.ac.th/handle/123456789/14398
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Institution: Mahidol University
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spelling th-mahidol.143982018-06-11T11:57:43Z Wavelet collocation method and multilevel augmentation method for hammerstein equations Hideaki Kaneko Khomsan Neamprem Boriboon Novaprateep Old Dominion University King Mongkut's University of Technology North Bangkok South Carolina Commission on Higher Education Mahidol University Mathematics A wavelet collocation method for nonlinear Hammerstein equations is formulated. A sparsity in the Jacobian matrix is obtained which gives rise to a fast algorithm for nonlinear solvers such as the Newton's method and the quasi-Newton method. A fast multilevel augmentation method is developed on a transformed nonlinear equation which gives an additional saving in computational time. © 2012 Society for Industrial and Applied Mathematics. 2018-06-11T04:57:43Z 2018-06-11T04:57:43Z 2012-05-28 Article SIAM Journal on Scientific Computing. Vol.34, No.1 (2012) 10.1137/100809246 10648275 2-s2.0-84861377943 https://repository.li.mahidol.ac.th/handle/123456789/14398 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84861377943&origin=inward
institution Mahidol University
building Mahidol University Library
continent Asia
country Thailand
Thailand
content_provider Mahidol University Library
collection Mahidol University Institutional Repository
topic Mathematics
spellingShingle Mathematics
Hideaki Kaneko
Khomsan Neamprem
Boriboon Novaprateep
Wavelet collocation method and multilevel augmentation method for hammerstein equations
description A wavelet collocation method for nonlinear Hammerstein equations is formulated. A sparsity in the Jacobian matrix is obtained which gives rise to a fast algorithm for nonlinear solvers such as the Newton's method and the quasi-Newton method. A fast multilevel augmentation method is developed on a transformed nonlinear equation which gives an additional saving in computational time. © 2012 Society for Industrial and Applied Mathematics.
author2 Old Dominion University
author_facet Old Dominion University
Hideaki Kaneko
Khomsan Neamprem
Boriboon Novaprateep
format Article
author Hideaki Kaneko
Khomsan Neamprem
Boriboon Novaprateep
author_sort Hideaki Kaneko
title Wavelet collocation method and multilevel augmentation method for hammerstein equations
title_short Wavelet collocation method and multilevel augmentation method for hammerstein equations
title_full Wavelet collocation method and multilevel augmentation method for hammerstein equations
title_fullStr Wavelet collocation method and multilevel augmentation method for hammerstein equations
title_full_unstemmed Wavelet collocation method and multilevel augmentation method for hammerstein equations
title_sort wavelet collocation method and multilevel augmentation method for hammerstein equations
publishDate 2018
url https://repository.li.mahidol.ac.th/handle/123456789/14398
_version_ 1763489329122902016

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