Wavelet Collocation Method and Multilevel Augmentation Method for Hammerstein Equations

Authors:
Hideaki Kaneko;Khomsan Neamprem;Boriboon Novaprateep
Affiliations:
hkaneko@odu.edu;khomsann@kmutnb.ac.th;scbnv@mahidol.ac.th
Venue:
SIAM Journal on Scientific Computing
Year:
2012

Citing 9
Cited 2

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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.