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  • 1
    Electronic Resource
    Electronic Resource
    Approximation of double integrals of analytic functions of two complex variables (1986)
    Springer
    Computing 37 (1986), S. 357-364 
    Details
    ISSN: 1436-5057
    Keywords: (1970) Primary 65D30 ; Analytic function ; double integral ; approximation ; degree of precision
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Es wird eine 9punktige Formel vom Grad 5 zur numerischen Approximation von Doppelintegralen komplexer Variablen samt Fehlerschranke hergeleitet.
    Notes: Abstract A nine-point degree five rule for the numerical approximation of double integrals of analytic functions of complex variables and its error bound have been derived.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02251093
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Numerical determination of Cauchy principal value integrals (1981)
    Springer
    Computing 27 (1981), S. 373-378 
    Details
    ISSN: 1436-5057
    Keywords: Principal value integrals ; isolated singularities ; poles ; Laurent's expansion ; analytic ; degree of precision ; (1970) Primary 65 D 30
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Es wird eine Quadraturformel zur numerischen Auswertung des Cauchyschen Hauptwertes eines Integrals vom Typ $$\int\limits_{ - 1}^1 {f(x)/(x - a) dx} $$ angegeben, wo −1〈a〈1 ist undf(x) eine Singularität im Komplexen in der Nähe des Integrationsweges besitzt. Eine Fehleranalyse wird durchgeführt.
    Notes: Abstract A quadrature rule for numerical evaluation of Cauchy principal value integrals of the type $$\int\limits_{ - 1}^1 {f(x)/(x - a) dx} $$ where −1〈a〈1 andf(x) possesses complex singularities near to the path of integration has been formulated. An analysis of the error has been provided.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02277187
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Approximate evaluation of multiple complex integrals of analytic functions (1983)
    Springer
    Computing 30 (1983), S. 279-283 
    Details
    ISSN: 1436-5057
    Keywords: (1970) Primary 65 D 30 ; Analytic function ; multiple integral ; product rule ; degree of precision ; error estimate
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Zur numerischen Auswertung mehrfacher Integrale analytischer Funktionen vonn komplexen Veränderlichen wird eine nicht-produktartige Formel vom Grad 5 mit 4 n +1 Punkten konstruiert, bei der einige der 5 n Knotenpunkte entbehrlich werden, die sich durch Produktbildung aus der 5-Punkt-Formel vom Grad 5 von Birkhoff und Young ergeben. Eine asymptotische Fehlerschätzung für den Falln=2 wird angegeben.
    Notes: Abstract For the numerical evaluation of multiple integrals of analytic functions ofn complex variables, a (4 n +1)-point degree five non-product rule has been constructed discarding certain points from the set of 5 n nodes needed in the product layout based on the five point degree five rule due to Birkhoff and Young. An asymptotic error estimate for the casen=2 has been determined.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02253899
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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