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  • 1
    Electronic Resource
    Electronic Resource
    An a posteriori error estimation of the Rayleigh-Ritz eigenvalues (1989)
    Springer
    Numerische Mathematik 54 (1989), S. 639-654 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS): 35P15, 47A55, 65M15 ; CR: G1.3
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary LetA, B be essentially self-adjoint and positive definite differential operators defined inL 2(G). Using Svirskij's construction of the base operator and some results from the analytic perturbation theory of linear operators a formula providing eigenvalue lower bounds of the problemAu=λBu is derived. In this formula a rough lower bound of some higher eigenvalue and the residual convergence of the Rayleigh-Ritz eigenfunction approximations are needed. Some numerical results are presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01396487
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  • 2
    Electronic Resource
    Electronic Resource
    Lower and upper bounds of the energy spectrum for potentials with multiminima (1994)
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 52 (1994), S. 1267-1271 
    Details
    ISSN: 0020-7608
    Keywords: Computational Chemistry and Molecular Modeling ; Atomic, Molecular and Optical Physics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: An extended Rayleigh-Ritz method for computing two-sided eigenvalue bounds of the one-dimensional Schrödinger equation without using a complementary method is presented. The method is based on the B-spline approximation over the truncated domain, which results in a generalized banded matrix eigenvalue problem. Numerical results for two multiminima potentials of different natures are presented. © 1994 John Wiley & Sons, Inc.
    Additional Material: 3 Tab.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/qua.560520603
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    Paper (German National Licenses)
    Fulltext
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