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WAVELET COLLOCATION METHOD AND MULTILEVEL AUGMENTATION METHOD FOR HAMMERSTEIN EQUATIONS
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DOI：10.1137/100809246.png)
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Abstract
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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.
Keywords:
wavelet collocation method
Hammerstein equations
fast multilevel augmentation method
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