Direct Methods for Computing Eigenvalues of the Finite-Difference Laplacian
β Scribed by Kuttler, J. R.
- Book ID
- 118181881
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1974
- Tongue
- English
- Weight
- 726 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0036-1429
- DOI
- 10.1137/0711059
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π SIMILAR VOLUMES
## Abstract Chebyshev collocation techniques are developed in this paper to compute the eigenvalues of the Laplacian based on a boundary integral formulation for twoβdimensional domains with piecewise smooth boundaries. Unlike the traditional domain methods (for example, the finite element method)
P, not in the open region R. For any such point P, let S, denote the closed segment of the net joining P to P, . For each k = 1, \* \* , 9, the point of S, n C closest to P will be called a boundary fioint of the net. The set of boundary points will be denoted b y C, . Some points of C, may be nodes