Hideaki KanekoKhomsan NeampremBoriboon NovaprateepOld Dominion UniversityKing Mongkut's University of Technology North BangkokSouth Carolina Commission on Higher EducationMahidol University2018-06-112018-06-112012-05-28SIAM Journal on Scientific Computing. Vol.34, No.1 (2012)106482752-s2.0-84861377943https://repository.li.mahidol.ac.th/handle/20.500.14594/14398A 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.Mahidol UniversityMathematicsArticleSCOPUS10.1137/100809246