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Computing Bifurcation Diagrams for Large Nonlinear Variational Problems

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Large Scale Scientific Computing

Part of the book series: Progress in Scientific Computing ((PSC,volume 7))

Abstract

We report on a method to reduce the computational effort of computing bifurcation diagrams for large nonlinear parameterdependent systems of variational type. Included are techniques to find a point on a branch, to trace solution branches, to detect singularities, to compute turning points, simple and double nondegenerate bifurcation points and to calculate emanating directions from bifurcation points. The perfor-mance of the method is demonstrated at two examples.

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Authors
  1. Helmut Jarausch
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  2. Wolfgang Mackens
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Editor information

Editors and Affiliations

  1. Konrad-Zuse-Zentrum fĂĽr Informationstechnik, D-1000, Berlin 31, Federal Republic of Germany

    P. Deuflhard

  2. Department of Mathematics, University of California at Los Angeles, 90024, Los Angeles, CA, USA

    B. Engquist

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© 1987 Birkhäuser Boston

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Jarausch, H., Mackens, W. (1987). Computing Bifurcation Diagrams for Large Nonlinear Variational Problems. In: Deuflhard, P., Engquist, B. (eds) Large Scale Scientific Computing. Progress in Scientific Computing, vol 7. Birkhäuser Boston. https://doi.org/10.1007/978-1-4684-6754-3_8

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  • DOI: https://doi.org/10.1007/978-1-4684-6754-3_8

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4684-6756-7

  • Online ISBN: 978-1-4684-6754-3

  • eBook Packages: Springer Book Archive

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