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  • Electronic Resource  (3)
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  • Electronic Resource  (3)
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  • 1
    Electronic Resource
    Electronic Resource
    Numerical computation of branch points in ordinary differential equations (1979)
    Springer
    Numerische Mathematik 32 (1979), S. 51-68 
    Details
    ISSN: 0945-3245
    Keywords: AMS (MOS): 65L10 ; CR: 5.17
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary This paper deals with the computation of branch points in ordinary differential equations. A direct numerical method is presented which requires the solution of only one boundary value problem. The method handles the general case of branching from a nontrivial solution which is a-prioriunknown. A testfunction is proposed which may indicate branching if used in continuation methods. Several real-life problems demonstrate the procedure.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01397649
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Numerical computation of branch points in nonlinear equations (1979)
    Springer
    Numerische Mathematik 33 (1979), S. 339-352 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS): 65H10 ; CR: 5.15
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary The numerical computation of branch points in systems of nonlinear equations is considered. A direct method is presented which requires the solution of one equation only. The branch points are indicated by suitable testfunctions. Numerical results of three examples are given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01398649
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    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    Bounds for the lowest critical value of the nonlinear operator-u″+u 3 (1975)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 26 (1975), S. 713-720 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Description / Table of Contents: Zusammenfassung Es werden Schranken für den ersten kritischen Wert eines speziellen nichtlinearen Operators berechnet. Dabei wird eine Methode angewendet, mit der sich untere Schranken zu bestimmten Funktionalen berechnen lassen. Zu dem zugehörigen Eigenwertproblem werden die exakten Lösungen bestimmt.
    Notes: Abstract A method for calculating lower bounds for certain functionals is demonstrated by estimating the first critical value of a special nonlinear operator. The exact solutions of the associated eigenvalue problem are calculated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01596075
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    Paper (German National Licenses)
    Fulltext
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