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  • 1
    Electronic Resource
    Electronic Resource
    A stepsize control for continuation methods and its special application to multiple shooting techniques (1979)
    Springer
    Numerische Mathematik 33 (1979), S. 115-146 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS): 65H10, 65L10 ; CR: 5.15
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary A numerically applicable stepsize control for discrete continuation methods of orderp is derived on a theoretical basis. Both the theoretical results and the performance of the proposed algorithm are invariant under affine transformation of the nonlinear system to be solved. The efficiency and reliability of the method is demonstrated by solving three real life two-point boundary value problems using multiple shooting techniques. In two of the examples bifurcations occur and are significantly marked by sharp changes in the stepsize estimates.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01399549
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