Publication:
Wavelet collocation method and multilevel augmentation method for hammerstein equations

Issued Date

2012-05-28

Resource Type

Article

ISSN

10648275

DOI

10.1137/100809246

Other identifier(s)

2-s2.0-84861377943

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

SIAM Journal on Scientific Computing. Vol.34, No.1 (2012)

Suggested Citation

Hideaki Kaneko, Khomsan Neamprem, Boriboon Novaprateep Wavelet collocation method and multilevel augmentation method for hammerstein equations. SIAM Journal on Scientific Computing. Vol.34, No.1 (2012). doi:10.1137/100809246 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/14398

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Title

Wavelet collocation method and multilevel augmentation method for hammerstein equations

Author(s)

Hideaki Kaneko
 Khomsan Neamprem
 Boriboon Novaprateep

Other Contributor(s)

Old Dominion University
 King Mongkut's University of Technology North Bangkok
 South Carolina Commission on Higher Education
 Mahidol University

Abstract

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.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/14398

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Scopus 2011-2015