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  • Electronic Resource  (4)
  • 65D07  (2)
  • Susceptibility  (2)
  • 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
    European journal of clinical microbiology & infectious diseases 17 (1998), S. 197-201 
    ISSN: 1435-4373
    Keywords: Quinupristin/dalfopristin ; Streptococcus pneumoniae ; Haemophilus influenzae ; Quality control ; Susceptibility
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract Studies were undertaken to select tentative criteria for susceptibility testing of quinupristin/dalfopristin againstStreptococcus pneumoniae andHaemophilus influenzae. Against 612 isolates ofStreptococcus pneumoniae, MICs of quinupristin/dalfopristin were ≤1.0 μg/ml for all but one strain. With a tentative MIC breakpoint of either ≤ 1.0 μg/ml or ≤2.0 μg/ml for susceptible, a disk diffusion zone diameter breakpoint of ≥19 mm embraced all but two of the susceptible pneumococci; ≥16 mm included all strains. ForHaemophilus influenzae, MICs of quinupristin/dalfopristin clustered near the tentative breakpoints; 91.5% of the MICs were 2.0 to 8.0 μg/ml. This precluded satisfactory performance of the disk diffusion test in discriminating between resistant and susceptible isolates unless MIC breakpoints are modified for this species: clinical experience will be needed before that can be justified. Based on data from a multilaboratory study, the following quality control limits are proposed forStreptococcus pneumoniae ATCC 49619 when testing quinupristin/dalfopristin: 0.25 to 1.0 μg/ml for broth microdilution tests and 19 to 24 mm for disk diffusion tests. For tests ofHaemophilus influenzae ATCC 29247, MIC limits are 2.0 to 16 μg/ml; disk tests were very reproducible but are not yet recommended.
    Type of Medium: Electronic Resource
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  • 4
    ISSN: 1435-4373
    Keywords: Key words Quinupristin/dalfopristin ; Streptococcus pneumoniae ; Haemophilus influenzae ; Quality control ; Susceptibility
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract  Studies were undertaken to select tentative criteria for susceptibility testing of quinupristin/dalfopristin against Streptococcus pneumoniae and Haemophilus influenzae. Against 612 isolates of Streptococcus pneumoniae, MICs of quinupristin/dalfopristin were ≤1.0 μg/ml for all but one strain. With a tentative MIC breakpoint of either ≤1.0 μg/ml or ≤2.0 μg/ml for susceptible, a disk diffusion zone diameter breakpoint of ≥19 mm embraced all but two of the susceptible pneumococci;≥16 mm included all strains. For Haemophilus influenzae, MICs of quinupristin/dalfopristin clustered near the tentative breakpoints; 91.5% of the MICs were 2.0 to 8.0 μg/ml. This precluded satisfactory performance of the disk diffusion test in discriminating between resistant and susceptible isolates unless MIC breakpoints are modified for this species: clinical experience will be needed before that can be justified. Based on data from a multilaboratory study, the following quality control limits are proposed for Streptococcus pneumoniae ATCC 49619 when testing quinupristin/dalfopristin: 0.25 to 1.0 μg/ml for broth microdilution tests and 19 to 24 mm for disk diffusion tests. For tests of Haemophilus influenzae ATCC 29247, MIC limits are 2.0 to 16 μg/ml; disk tests were very reproducible but are not yet recommended.
    Type of Medium: Electronic Resource
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