Matrices of Sinc methods
β Scribed by Frank Stenger
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 781 KB
- Volume
- 86
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
β¦ Synopsis
This paper gives a brief review of Sinc methods, with emphasis on the matrices of Sinc methods. A novel procedure is presented, based on Sinc convolution, for solving a Poisson problem over a rectangular region. Although some of the work of Gragg may already be applied to the solution of Sinc-matrix problems, this paper also points to new directions of matrix research.
π SIMILAR VOLUMES
## Abstract The symmetric SincβGalerkin method developed by Lund (Math. Comput. 1986; **47**:571β588), when applied to secondβorder selfβadjoint boundary value problems on __d__ dimensional rectangular domains, gives rise to an __N__ Γ __N__ positive definite coefficient matrix which can be viewed
Efforts to develop sinc domain decomposition methods for second-order two-point boundary-value problems have been successful, thus warranting further development of these methods. A logical first step is to thoroughly investigate the extension of these methods to Poisson's equation posed on a rectan
In this paper we propose new numerical methods for linear Fredholm integral equations of the second kind with weakly singular kernels. The methods are developed by means of the Sinc approximation with smoothing transformations, which is an effective technique against the singularities of the equatio