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  • 1
    Electronic Resource
    Electronic Resource
    Asymptotically sharp error estimates for modified compound quadrature formulae for Cauchy principal value integrals (1995)
    Springer
    Computing 55 (1995), S. 255-269 
    Details
    ISSN: 1436-5057
    Keywords: 41A55 ; 65D30 ; Cauchy principal value integrals ; modified compound quadrature formulae ; Peano kernels ; error estimates
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Eine der Standardmethoden zur Berechnung Cauchyscher Hauptwerte ist es, zunächst die Singularität herauszuziehen und dann eine gegebene Quadraturformel anzuwenden. Die daraus resultierende Quadraturformel für das Cauchysche Hauptwert-Integral wird als modifizierte Quadraturformel bezeichnet. In dieser Arbeit wird der Fall betrachtet, daß die gegebene Quadraturformel eine zusammengesetzte Quadraturformel ist, und es werden Fehlerabschätzungen der Form |R[f]| ≤κ i ∥f (i) ∥∞ hergeleitet (wobeiR[f] der Fehler der modifizierten Quadraturformel ist). Im Gegensatz zu früheren Abschätzungen wird das Verhalten vonκ i für den Fall, daß die Anzahl der Stützstellen gegen Unendlich geht, exakt bestimmt.
    Notes: Abstract One of the standard methods for computing Cauchy principal value integrals is to subtract the singularity, and then to apply a given quadrature formula. This results in a quadrature formula for the Cauchy principal value integral which is called a modified quadrature formula. Here, we consider the case that this given quadrature formula is a compound quadrature formula, and derive error estimates of the form |R[f]| ≤κ i ∥f (i) ∥∞ (whereR[f] is the error of the modified quadrature formula). In contrast to previous estimates, the behaviour ofκ i when the number of quadrature nodes tends to infinity is determined exactly.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02238435
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  • 2
    Electronic Resource
    Electronic Resource
    Cytotoxicity ofEchinococcus granulosus cyst fluid in vitro (1981)
    Springer
    Parasitology research 65 (1981), S. 79-88 
    Details
    ISSN: 1432-1955
    Keywords: Echinococcus granulosus ; Cyst fluid ; Cytotoxicity ; Spleen cells ; Immune evasion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Abstract In a cytotoxicity assay, using rat spleen cells as target cells,Echinococcus granulosus cyst fluid from cattle exerted a marked degree of cytotoxicity in vitro. When trypan blue exclusion or [3H]thymidine incorporation by concanavalin A stimulated spleen cells was used as a measure of cell viability, dialyzed cyst fluid showed maximum cell destruction up to a 1:8 dilution. The effect was dose and time dependent, cells being affected by 24 h after exposure to cyst fluid. The components responsible for cytotoxicity of cyst fluid were heat stable and could be recovered using gel chromatography on Sephadex G 50 and G 15 as a single low molecular weight fraction. It is assumed that the toxic products released by the living parasite can readily penetrate through the cyst wall into the surrounding host tissue. The interference of such substances with immunocompetent cells might account for the long-term survival of the parasite in the intermediate host.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00926556
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    Paper (German National Licenses)
    Fulltext
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