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  • 1
    Monograph available for loan
    Monograph available for loan
    Orlando [u.a.] : Academic Press
    Call number: O 6125
    Type of Medium: Monograph available for loan
    Pages: xiv, 612 S.
    Edition: 2nd ed.
    ISBN: 0122063600
    Series Statement: Computer science and applied mathematics
    Language: English
    Location: Upper compact magazine
    Branch Library: GFZ Library
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Zeitschrift für angewandte Mathematik und Physik 13 (1962), S. 26-42 
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Zusammenfassung Diese Arbeit befasst sich mit der Anwendung der Bergmanschen Methode der Kernelfunktion auf die Probleme der Statik dünner elastischer Platten. Die Bergmansche Methode besteht im wesentlichen aus 1) der Erzeugung eines vollständigen Satzes partikulärer Lösungen der Differentialgleichung, 2) der Orthogonalisierung dieses Satzes in einem geeigneten Sinne und 3) der Approximation der Lösung von den gegebenen Randwerten aus durch lineare Kombination der Orthogonalfunktionen. Mit Hilfe dieser Methode werden die Durchbiegungen und Randmomente einer Halbkreisplatte mit eingespanntem Rand für gleichmässig verteilte und linear veränderliche Vollbelastung gefunden und mit den Ergebnissen einer anderen Untersuchung verglichen.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Geo-marine letters 3 (1984), S. 1-7 
    ISSN: 1432-1157
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences
    Notes: Abstract A sonic well log was obtained within the basement complex of the Walvis Ridge during Deep Sea Drilling Project Leg 74. The top of the basement complex is characterized by smooth acoustic reflectors. The rocks recovered within the basement complex consist of basalts with intercalated sediments. According to the log ∼-50% of the upper 75 m of basement are igneous rocks and the other 50% sedimentary. Sonobuoy results indicate that the ratio of sediments to basalt increases with depth for an additional 225 m until a typical oceanic velocity structure is observed. Paleontological results suggest that the processes forming this upper 300 m of the basement complex was accomplished within a short time interval.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Geo-marine letters 4 (1984), S. 63-67 
    ISSN: 1432-1157
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences
    Notes: Abstract Elongate trending diapiric structures occur along faulted rifts in the Gulf of Elat. Those diapirs in the southern part of the Gulf, believed to be of salt origin were formed in the embryonic continental margin during the separation of the Nubian and Arabian plates. The diapirs farther to the north are believed to be of shale origin. These findings support other recent geological evidence suggesting that the tectonic regime in the region is obliquely extensional. Comparison with the structure of the Suez Rift indicates a jump of the northern extension of the Red Sea spreading center during the early Pliocene period.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    BIT 31 (1991), S. 321-327 
    ISSN: 1572-9125
    Keywords: 65D30 ; Product integration ; Hermite-Fejér interpolation ; Jacobi polynomials ; singularity ; Gauss rule ; Lobatto rule ; Radau rule
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Conditions are given onk andf for the convergence of product integration ofkf based on Hermite-Fejér polynomials interpolatingf at the zeros of Jacobi polynomials and possibly one or both endpoints of the integration interval. Iff has endpoint singularities, we can ignore the singularity. An interior singularity must generally be avoided.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    BIT 19 (1979), S. 104-110 
    ISSN: 1572-9125
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract It is asserted on the basis of empirical evidence supported in some cases by theoretical analysis, that in the numerical integration of an integrand which is singular in the function-analytic sense at a point at which the function is defined, it is preferable to use an integration rule which does not include the singular point among its abscissas.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    BIT 23 (1983), S. 139-140 
    ISSN: 1572-9125
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    BIT 26 (1986), S. 131-134 
    ISSN: 1572-9125
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Conditions are given for the convergence of product integration rules based on the zeros of orthogonal polynomials associated with a generalized smooth Jacobi weight, possibly augmented by one or both endpoints.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    BIT 29 (1989), S. 347-355 
    ISSN: 1572-9125
    Keywords: 65D32
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Convergence results for interpolatory product rules for evaluating Cauchy principal value integrals of the form f −1 1 v(x)f(x)/x − λ dx wherev is an admissible weight function have been extended to integrals of the form f −1 1 k(x)f(x)/x − λ dx wherek is an arbitrary integrable function subject to certain conditions. Further, whereas the above convergence results were shown when the interpolation points were the Gauss points with respect to some admissible weight functionw, they are now shown to hold when the interpolation points are Radau or Lobatto points with respect tow.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    BIT 35 (1995), S. 277-290 
    ISSN: 1572-9125
    Keywords: Cauchy principal value ; spline
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, quasi-interpolating splines are used to approximate the Cauchy principal value integral $$J(w_{\alpha \beta } f;\lambda ): = \smallint - _{ - 1}^1 w_{\alpha \beta } (x)\frac{{f(x)}}{{x - \lambda }}dx, \lambda \in ( - 1,1)$$ where $$w_{\alpha \beta } (x): = (1 - x)^\alpha (1 + x)^\beta ,\alpha ,\beta 〉 - 1.$$ . We prove uniform convergence for the quadrature rules proposed here and give an algorithm for the numerical evaluation of these rules.
    Type of Medium: Electronic Resource
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