Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4629359 | Applied Mathematics and Computation | 2012 | 8 Pages |
Abstract
We show that when a symmetric Sinc-Galerkin method is used to solve a Poisson problem, the resulting Sylvester matrix equation is a discrete ADI model problem. We employ a new alternating direction scheme known as the alternating-direction Sinc-Galerkin (ADSG) method on illustrative partial differential equation boundary-value problems to document the exponential convergence rate that can be achieved. Unlike classical ADI schemes, direct numerical application of ADSG avoids the computation of iteration parameters, matrix eigenvalues and eigenvectors, as well as the use of the Kronecker product and sum.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Nicomedes Alonso III, Kenneth L. Bowers,