Library

X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
  • 1
    Electronic Resource
    Electronic Resource
    Correction of Numerov's eigenvalue estimates (1985)
    Springer
    Numerische Mathematik 47 (1985), S. 289-300 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS): 65L15 ; CR: G1.7
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary The error in the estimate of thekth eigenvalue of a regular Sturm-Liouville problem obtained by Numerov's method with mesh lengthh isO(k 6 h 4). We show that a simple correction technique of Paine, de Hoog and Anderssen reduces the error to one ofO(k 3 h 4). Numerical examples demonstrate the usefulness of this correction even for low values ofk.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01389712
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Correction of finite element estimates for Sturm-Liouville eigenvalues (1986)
    Springer
    Numerische Mathematik 50 (1986), S. 205-215 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS): 65L15 ; CR: G1.7
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary It is shown that a simple asymptotic correction technique of Paine, de Hoog and Anderssen reduces the error in the estimate of thekth eigenvalue of a regular Sturm-Liouville problem obtained by the finite element method, with linear hat functions and mesh lengthh, fromO(k 4 h 2) toO(k h 2). The result still holds when the matrix elements are evaluated by Simpson's rule, but if the trapezoidal rule is used the error isO(k 2 h 2). Numerical results demonstrate the usefulness of the correction even for low values ofk.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01390430
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...