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  • 6504  (1)
  • 74.62.Fj  (1)
  • Springer  (2)
  • Oxford University Press
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  • Springer  (2)
  • Oxford University Press
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  • 1
    Electronic Resource
    Electronic Resource
    Algorithm 51. A reliable and numerically stable program for rational interpolation of lagrange data (1983)
    Springer
    Computing 31 (1983), S. 269-286 
    Details
    ISSN: 1436-5057
    Keywords: 65D05 ; 6504 ; 41A05 ; Rational interpolation ; reliable algorithms
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Es wird ein Programm vorgelegt, das zu gegebenem ZählergradL, NennergradM (fürL≥M) und Daten (x j,f j),j=1,...,L+M eine rationale Interpolierende in Form eines (verallgemeinerten) Kettenbruchs liefert oder mitteilt, daß die Daten mit den vorgegebenen Graden nicht interpoliert werden können, sondern daß unerreichbare Punkte auftreten. Dazu wird der Algorithmus des Verfassers (beschrieben in [2]) mit der von Graves-Morris [1] angegebenen Umordnung der Daten zur numerischen Stabilisierung verwendet. Diese Umordnung kann auch unterdrückt werden. Die Wirkungsweise des Programms wird an einigen Beispielen erläutert.
    Notes: Abstract This note contains a program for rational interpolation with degree of numerator equal toL and of denominator equal toM (forL≥M). The program will either produce the rational interpolation of the data (x j,f j),j=0,...,L+M by a (generalized) continued fraction or state that the interpolation is not feasible because there are unattainable points. We use the algorithm given in [2] and incorporate the reordering of data for numerical stabilisation due to Graves-Morris [1]. The reordering may be suppressed. The performance of the program is illustrated by several examples.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02263437
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  • 2
    Electronic Resource
    Electronic Resource
    Pressure dependence of superconductivity in Ba4C60 (1996)
    Springer
    Journal of low temperature physics 105 (1996), S. 1703-1708 
    Details
    ISSN: 1573-7357
    Keywords: 74.62.Fj ; 74.70.Wz
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In BaxC60 superconductivity (sc) at Tc=(6.8±0.2) K is associated with the x=4 phase. Here we present pressure studies of Tc of a BaxC60 sample (dTc/dp= −1.9 K/GPa) which exhibits a large volume fraction of the x=4 phase. In the alkali-fullerides K60C60 and Rb3C60 Tc is governed by the electronic density of states N(EF) (Tc ∝exp{−1/N(EF)V}). The dependence of N(EF) on volume can be approximated by N(EF)=N0 d eff 3, where deff is the surface to surface distance of neighboured C60-molecules. This relationship is corroborated by (TC,d)-data of various compounds of the form A3−xBxC60 (A: K, Rb; B: K, Rb, Cs; x≤2). Strong deviation from this behavior is found for the alkaline-fulleride superconductor Ba4C60. This deviation is attributed to the hybridization of alkaline-metal s-, d-states and C60 π-states.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00753944
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