Estimating the Eigenvalues of Sturm–Liouville Problems by Approximating the Differential Equation
- 1 March 1973
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Numerical Analysis
- Vol. 10 (1) , 55-68
- https://doi.org/10.1137/0710008
Abstract
No abstract availableKeywords
This publication has 10 references indexed in Scilit:
- A new method for the solution of the Schrödinger equationJournal of Computational Physics, 1970
- Error Bounds for Sturm-Liouville Eigenvalue Approximations by Several Piecewise Cubic Rayleigh-Ritz MethodsSIAM Journal on Numerical Analysis, 1969
- Numerical methods of high-order accuracy for nonlinear boundary value problemsNumerische Mathematik, 1968
- Asymptotic eigenvalues of Sturm-Liouville systemsJournal of Mathematical Analysis and Applications, 1967
- Rayleigh-Ritz Approximation by Piecewise Cubic PolynomialsSIAM Journal on Numerical Analysis, 1966
- Linear ApproximationPublished by American Mathematical Society (AMS) ,1963
- Bounds for eigenvalues of the Sturm-Liouville problem by finite difference methodsArchive for Rational Mechanics and Analysis, 1962
- The Sturm-Liouville difference problemUSSR Computational Mathematics and Mathematical Physics, 1962
- THE APPLICATION OF RELAXATION METHODS TO THE SOLUTION OF NON-ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONSThe Quarterly Journal of Mechanics and Applied Mathematics, 1962
- FINITE DIFFERENCES ASSOCIATED WITH SECOND—ORDER DIFFERENTIAL EQUATIONSThe Quarterly Journal of Mechanics and Applied Mathematics, 1960