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  • interpolation post-processing  (1)
  • multiple roots  (1)
  • 1
    Electronic Resource
    Electronic Resource
    An interval iteration for multiple roots of transcendental equations (1995)
    Springer
    BIT 35 (1995), S. 561-571 
    Details
    ISSN: 1572-9125
    Keywords: Zerofinding ; multiple roots ; interval analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract An iteration method for roots of algebraic functions with roots of multiplicity greater than one is established using tools and techniques from interval arithmetic. The method is based on an interval iteration functions for multiple roots and it retains the convergence order of the underlying iteration method while preserving global convergence over an initial interval. A number of simple examples are provided to show that the method is feasible and that it produces reasonable results.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01739827
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    An acceleration method for integral equations by using interpolation post-processing (1998)
    Springer
    Advances in computational mathematics 9 (1998), S. 117-129 
    Details
    ISSN: 1572-9044
    Keywords: integral equations ; interpolation post-processing ; superconvergence ; Richardson extrapolation ; defect correction ; 65R20
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Two post-processing techniques are widely used in the literature in the context of convergence acceleration. One of them is an interpolation technique, used for partial differential equations and integral differential equations, and the other is an iteration technique used for integral equations. These two techniques, interpolation and iteration, are quite different, and the former is simpler. Can we use the interpolation technique for integral equations instead of using the second iteration technique? This report gives a positive answer.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1018925103993
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    Paper (German National Licenses)
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