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  • Collocation approximation  (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
    A high order method for non-smooth Fredholm equations (1997)
    Springer
    Acta mathematicae applicatae sinica 13 (1997), S. 17-22 
    Details
    ISSN: 1618-3932
    Keywords: Collocation approximation ; correction ; adaptable method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, we deal with a class of the second kind of non-smooth Fredholm integral equations, which are related closely to Wiener-Hopf equations. Using Sloan's iterative technique, we obtain the superconvergent approximations. By means of the correction and collocation methods, we present a kind of iterative correction collocation approximations for this kind of equations, and show that this method is not only a high order and more simple method but also an adaptable one (see e.g. [11]).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02020477
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    Paper (German National Licenses)
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