Projection and iterated projection methods for nonliear integral equations
SIAM Journal on Numerical Analysis
The Sinc-Galerkin method for fourth-order differential equations
SIAM Journal on Numerical Analysis
The Schwarz alternating sinc domain decomposition method
Applied Numerical Mathematics
Fast Collocation Methods for Second Kind Integral Equations
SIAM Journal on Numerical Analysis
Fast Multilevel Augmentation Methods for Solving Hammerstein Equations
SIAM Journal on Numerical Analysis
Hi-index | 0.09 |
We develop a multilevel augmentation method for solving nonlinear boundary value problems. We first describe the multilevel augmentation method for solving nonlinear operator equations of the second kind which has been proposed in our recent paper Chen et al. (2011) [16], and then apply it to solving the nonlinear two-point boundary value problems of second-order differential equations. The theoretical analysis of convergence order and computational complexity are proposed. Finally numerical experiments are presented to confirm the theoretical estimates and illustrate the efficiency of the method.