Wavelet Collocation Method and Multilevel Augmentation Method for Hammerstein Equations
Hideaki Kaneko, Khomsan Neamprem, Boriboon Novaprateep · SIAM Journal on Scientific Computing · 2012
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.