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  • 1
    Electronic Resource
    Electronic Resource
    An immediate analysis for global superconvergence for integrodifferential equations (1997)
    Springer
    Applications of mathematics 42 (1997), S. 1-21 
    Details
    ISSN: 1572-9109
    Keywords: integrodifferential equations ; global superconvergence ; immediate analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper we study the finite element approximations to the parabolic and hyperbolic integrodifferential equations and present an immediate analysis for global superconvergence for these problems, without using the Ritz projection or its modified forms.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1022264125558
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    A direct global superconvergence analysis for Sobolev and viscoelasticity type equations (1997)
    Springer
    Applications of mathematics 42 (1997), S. 23-34 
    Details
    ISSN: 1572-9109
    Keywords: Sobolev and viscoelasticity type equations ; global superconvergence ; direct analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper we study the finite element approximations to the Sobolev and viscoelasticity type equations and present a direct analysis for global superconvergence for these problems, without using Ritz projection or its modified forms.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1022288409629
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    A family of centered forms for a polynomial (1992)
    Springer
    BIT 32 (1992), S. 167-176 
    Details
    ISSN: 1572-9125
    Keywords: 65H10 ; 65H99
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The general centered form for multi-variate polynomials is investigated and a computing procedure is proposed that results in a certain superset. Based on this procedure the optimal centered forms for monomials and for some special cases of polynomials are investigated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01995115
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    Paper (German National Licenses)
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  • 4
    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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  • 5
    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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  • 6
    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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  • 7
    Electronic Resource
    Electronic Resource
    Superconvergent approximations for Wiener-Hopf equations (1996)
    Springer
    Acta mathematicae applicatae sinica 12 (1996), S. 371-376 
    Details
    ISSN: 1618-3932
    Keywords: Galerkin approximations ; iteration ; correction ; adaptable method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, by means of Sloan's iteration technique, we present a kind of iterative correction method for Galerkin approximations of Wiener-Hopf equations, and show that this is not only a high order method but also an adaptable one.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02029064
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    Paper (German National Licenses)
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