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Eigenvalue Enclosures for Ordinary Differential Equations

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Book cover Encyclopedia of Optimization

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Keywords

Inclusion Method

Numerical Example

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References

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References

  1. Albrecht J (1964) Iterationsverfahren zur Berechnung der Eigenwerte der Mathieuschen Differentialgleichung. Z Angew Math Mechanics 44:453–458

    Article  MATH  MathSciNet  Google Scholar 

  2. Behnke H (1996) A numerically rigorous proof of curve veering in an eigenvalue problem for differential equations. Z Anal Anwend 15:181–200

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  3. Behnke H, Goerisch F (1994) Inclusions for eigenvalues of selfadjoint problems. In: Herzberger J (ed) Topics in validated computations. Elsevier, Amsterdam, pp 277–322

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  4. Goerisch F (1980) Eine Verallgemeinerung eines Verfahrens von N.J. Lehmann zur Einschließung von Eigenwerten. Wiss Z Techn Univ Dresden 29:429–431

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  5. Goerisch F, Haunhorst H (1985) Eigenwertschranken für Eigenwertaufgaben mit partiellen Differentialgleichungen. Z Angew Math Mechanics 65(3):129–135

    Article  MATH  MathSciNet  Google Scholar 

  6. Lehmann NJ (1949) Beiträge zur Lösung linearer Eigenwertprobleme I. Z Angew Math Mechanics 29:341–356

    MathSciNet  Google Scholar 

  7. Lehmann NJ (1950) Beiträge zur Lösung linearer Eigenwertprobleme II. Z Angew Math Mechanics 30:1–16

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  8. Maehly HJ (1952) Ein neues Verfahren zur genäherten Berechnung der Eigenwerte hermitescher Operatoren. Helv Phys Acta 25:547–568

    MathSciNet  Google Scholar 

  9. Weinstein A, Stenger W (1972) Methods of intermediate problems for eigenvalues. Acad. Press, New York

    MATH  Google Scholar 

  10. Zimmermann S, Mertins U (1995) Variational bounds to eigenvalues of self-adjoint problems with arbitrary spectrum. Z Anal Anwend 14:327–345

    MATH  MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

  1. Institute Math. TU Clausthal, Clausthal, Germany

    Henning Behnke

Authors
  1. Henning Behnke
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Editor information

Editors and Affiliations

  1. Department of Chemical Engineering, Princeton University, Princeton, NJ, 08544-5263, USA

    Christodoulos A. Floudas

  2. Center for Applied Optimization, Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, 32611-6595, USA

    Panos M. Pardalos

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© 2008 Springer-Verlag

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Behnke, H. (2008). Eigenvalue Enclosures for Ordinary Differential Equations . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_156

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