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Conditioning of linear boundary value problems

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Abstract

The method of parallel shooting for the solution of two-point boundary value problems is investigated. Bounds are obtained for the norms of the fundamental matrices of the differential equations and their inverses. These bounds are used for estimation of the condition number and for determining the shooting intervals.

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Authors and Affiliations

  1. Mathematics Department, University of Wyoming, 82070, Laramie, Wyoming

    John H. George & Robert W. Gunderson

  2. Mathematics Department, Utah State University, 84321, Logan, Utah

    John H. George & Robert W. Gunderson

Authors
  1. John H. George
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  2. Robert W. Gunderson
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Additional information

This research was supported by NASA Grant No. NGR-002-016.

Visiting Utah State University, Summer, 1971.

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George, J.H., Gunderson, R.W. Conditioning of linear boundary value problems. BIT 12, 172–181 (1972). https://doi.org/10.1007/BF01932811

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  • DOI: https://doi.org/10.1007/BF01932811

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