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  • 1985-1989  (3)
  • 65L05  (2)
  • Papillomavirus DNA  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    BIT 27 (1987), S. 374-388 
    ISSN: 1572-9125
    Keywords: 65D07 ; 65L05
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper the general classV of spline-collocation methods for first order systems of ordinary differential equations is investigated. The methods can in part be regarded as so-called multivalue methods. This type contains the generalized singly-implicit methods treated by Butcher. It is shown here, how any multivalue type representative ofV yields a matrix valued functionψ, for the characterization of stability at infinity. It is shown in particular, that the structure ofψ allows us to construct infinity-stable methods by an appropriate choice of the collocation points.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    BIT 29 (1989), S. 295-310 
    ISSN: 1572-9125
    Keywords: 65L05 ; 65L20 ; 65D07 ; Ordinary differential equations ; collocation methods ; A-stability ; confluence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper the general classV of spline-collocation methods presented by Mülthei is investigated. The methods ofV approximate solutions of first order initial value problems. ClassV contains as subclass the methods of so-called multivalue type, and in particular contains the generalized singly-implicit methods treated by Butcher. Any multivalue type representativeU εV yields a matrix valued function Ω corresponding toU, which characterizes the region of absolute stability ofU. If a sequence (U(δ)) of multivalue type representatives ofV tending to some singlevalue type representative $$\tilde U$$ εV is considered, it can easily be seen by the structure of Ω, that the sequence of the greatest eigenvalues of the Ω(.,δ) tends to the stability function $$\tilde R$$ corresponding to $$\tilde U$$ . This fact allows one to construct one-parameter families of A-stable methods of multivalue type.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Archives of dermatological research 278 (1986), S. 219-223 
    ISSN: 1432-069X
    Keywords: Renal allograft patients ; Warts ; Papillomavirus DNA
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary Renal allograft recipients were shown to have an increased incidence of warts and skin cancers. We examined 148 patients for evidence of wart virus infections and tested for papillomavirus types, which are known to be associated with human malignancies. Of the 148, 36 (24.3%) patients were afflicted with warts at the end of our study period, in contrast to 5 of 148 (3.3%) before transplantation. DNA from 16 different biopsies was extracted by phenol treatment for further virological studies. DNA of human papillomavirus (HPV) 2 was detected three times, DNA of HPV 4 and 10 twice, and DNA of HPV 3 and 16 once each by blot hybridization. One probe led to strong signals with HPV types previously found only in epidermodysplasia verruciformis patients. A correlation between histology and virus type exsisted in cases of HPV 2, 3, 4, and 10 infections.
    Type of Medium: Electronic Resource
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