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A Hybrid Subdivision Strategy for Result-Verifying Nonlinear Solvers

  1. Thomas Beelitz,
  2. Christian H. Bischof2,
  3. Bruno Lang1

Article first published online: 27 DEC 2004

DOI: 10.1002/pamm.200410297

Issue

PAMM

PAMM

Volume 4, Issue 1, pages 632–633, December 2004

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How to Cite

Beelitz, T., Bischof, C. H. and Lang, B. (2004), A Hybrid Subdivision Strategy for Result-Verifying Nonlinear Solvers. Proc. Appl. Math. Mech., 4: 632–633. doi: 10.1002/pamm.200410297

Author Information

  1. 1

    Bergische Universität Wuppertal, Fachbereich Mathematik und Naturwissenschaften, Scientific Computing, D-42097 Wuppertal, Germany

  2. 2

    RWTH Aachen, Lehrstuhl für Hochleistungsrechnen, D-52064 Aachen, Germany

Publication History

  1. Issue published online: 27 DEC 2004
  2. Article first published online: 27 DEC 2004

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Abstract

Many different heuristics have been proposed for selecting the subdivision direction in branch–and–bound result-verifying nonlinear solvers. We investigate the impact of the box-splitting techniques on the overall performance of the solver and propose a new approach combining some of the simple heuristics in a hybrid way. Numerical experiments with medium–sized example problems indicate that our approach is successful. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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