A note on finite difference methods for solving the eigenvalue problems of second-order differential equations
Author:
M. R. Osborne
Journal:
Math. Comp. 16 (1962), 338-346
MSC:
Primary 65.62
DOI:
https://doi.org/10.1090/S0025-5718-1962-0163434-3
MathSciNet review:
0163434
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References | Similar Articles | Additional Information
- J. W. Cooley, An improved eigenvalue corrector formula for solving the Schrödinger equation for central fields, Math. Comp. 15 (1961), 363–374. MR 129566, DOI https://doi.org/10.1090/S0025-5718-1961-0129566-X
- Alston S. Householder, Principles of numerical analysis, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1953. MR 0059056 L. Fox, The Numerical Solution of Two-point Boundary Value Problems, Oxford, 1957.
- Leslie Fox, Some numerical experiments with eigenvalue problems in ordinary differential equations, Boundary problems in differential equations, Univ. of Wisconsin Press, Madison, 1960, pp. 243–255. MR 0114302
- J. H. Wilkinson, The calculation of eigenvectors by the method of Lanczos, Comput. J. 1 (1958), 148–152. MR 102915, DOI https://doi.org/10.1093/comjnl/1.3.148
- Modern computing methods, National Physical Laboratory, Teddington, England. Her Majesty’s Stationery Office, London, 1957. Notes on applied science, no. 16. MR 0088783 M. R. Osborne, “The propagation of sound in a layered fluid medium,” Quart. J. Mech. Appl. Math., v. 13, n. 4, 1960, p. 472-86.
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Article copyright:
© Copyright 1962
American Mathematical Society