Finite Difference Methods for Mildly Nonlinear Eigenvalue Problems
β Scribed by R. B. Simpson
- Book ID
- 124922576
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1971
- Tongue
- English
- Weight
- 419 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0036-1429
- DOI
- 10.2307/2949469
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π SIMILAR VOLUMES
A finite-difference procedure which requires the use of ¨irtual and duplicate nodes is presented. This procedure incorporates the Neumann and Dirichlet boundary conditions into the two-dimensional Helmholtz equation. Comparisons made with analytic solutions for wa¨eguide modes indicate that robust s
In this paper, the origins of spurious solutions occurring in the high-order finite difference methods are studied. Based on a uniform mesh, spurious modes are found in the high-order one-sided finite difference discretizations of many eigenvalue problems. Spurious modes are classified as spectral p