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

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

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.*, v. 49, 1943, pp. 1-23. MR**4**, 200. MR**0007838 (4:200e)****[2]**C. C. Farrington, R. T. Gregory & A. H. Taub, "On the numerical solution of SturmLiouville differential equations,"*MTAC*, v. 11, 1957, pp. 131-150. MR**19**, 772. MR**0090127 (19:772b)****[3]**B. E. Hubbard, "Bounds for eigenvalues of the Sturm-Liouville problem by finite difference methods,"*Arch. Rational Mech. Anal.*, v. 10, 1962, pp. 171-179. MR**26**#3199. MR**0145670 (26:3199)****[4]**H. F. Weinberger, "Lower bounds for higher eigenvalues by finite difference methods,"*Pacific J. Math.*, v. 8, 1958, pp. 339-368. MR**21**#6097. MR**0107372 (21:6097)****[5]**B. Wendroff,*Computing the Critical Frequencies of Stepped Shafts*, Los Alamos Scientific Laboratory Report, LAMS-2954, 1963.

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

Article copyright:
© Copyright 1965
American Mathematical Society