Bounds for eigenvalues of some differential operators by the Rayleigh-Ritz method

Author:
Burton Wendroff

Journal:
Math. Comp. **19** (1965), 218-224

MSC:
Primary 65.62; Secondary 65.40

MathSciNet review:
0179932

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References | Similar Articles | Additional Information

**[1]**R. Courant,*Variational methods for the solution of problems of equilibrium and vibrations*, Bull. Amer. Math. Soc.**49**(1943), 1–23. MR**0007838**, 10.1090/S0002-9904-1943-07818-4**[2]**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**0090127**, 10.1090/S0025-5718-1957-0090127-1**[3]**B. E. Hubbard,*Bounds for eigenvalues of the Sturm-Liouville problem by finite difference methods*, Arch. Rational Mech. Anal.**10**(1962), 171–179. MR**0145670****[4]**H. F. Weinberger,*Lower bounds for higher eigenvalues by finite difference methods*, Pacific J. Math.**8**(1958), 339–368; erratum, 941. MR**0107372****[5]**B. Wendroff,*Computing the Critical Frequencies of Stepped Shafts*, Los Alamos Scientific Laboratory Report, LAMS-2954, 1963.

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DOI:
http://dx.doi.org/10.1090/S0025-5718-1965-0179932-5

Article copyright:
© Copyright 1965
American Mathematical Society