Bounds for eigenvalues of some differential operators by the Rayleigh-Ritz method
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- by Burton Wendroff PDF
- Math. Comp. 19 (1965), 218-224 Request permission
References
- R. Courant, Variational methods for the solution of problems of equilibrium and vibrations, Bull. Amer. Math. Soc. 49 (1943), 1–23. MR 7838, DOI 10.1090/S0002-9904-1943-07818-4
- C. C. Farrington, R. T. Gregory, and A. H. Taub, On the numerical solution of Sturm-Liouville differential equations, Math. Tables Aids Comput. 11 (1957), 131–150. MR 90127, DOI 10.1090/S0025-5718-1957-0090127-1
- B. E. Hubbard, Bounds for eigenvalues of the Sturm-Liouville problem by finite difference methods, Arch. Rational Mech. Anal. 10 (1962), 171–179. MR 145670, DOI 10.1007/BF00281184
- H. F. Weinberger, Lower bounds for higher eigenvalues by finite difference methods, Pacific J. Math. 8 (1958), 339–368; erratum, 941. MR 107372 B. Wendroff, Computing the Critical Frequencies of Stepped Shafts, Los Alamos Scientific Laboratory Report, LAMS-2954, 1963.
Additional Information
- © Copyright 1965 American Mathematical Society
- Journal: Math. Comp. 19 (1965), 218-224
- MSC: Primary 65.62; Secondary 65.40
- DOI: https://doi.org/10.1090/S0025-5718-1965-0179932-5
- MathSciNet review: 0179932