The shooting method is a numerically effective approach to solving certain eigenvalue problems, such as that arising from the Schrodinger equation for the αΊwo-dimensional hydrogen atom with logarithmic potential function. However, no complete proof of its rationale and correctness has been given unt
Effective algorithms for solving the eigenvalue problem
β Scribed by V. Lang
- Publisher
- Elsevier Science
- Year
- 1985
- Weight
- 342 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0041-5553
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π SIMILAR VOLUMES
This paper presents a convergence theory for non-linear eigenvalue methods. The basic idea of these methods, which have been described by the author in an earlier paper, 1 is to apply an eigen-solver in conjunction with a zero-ΓΏnding technique for solving the non-linear eigenvalue problems. The main
## Abstract Helmholtz equations with variable coefficients are known to be hard to solve both analytically and numerically. In this paper, we introduce a numerical multigrid solver for oneβdimensional Helmholtz eigenvalue problems with periodic potentials and solutions. The solvers employ waveβray