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  • Cell & Developmental Biology  (1)
  • Finite difference  (1)
  • Stratonovich–Taylor expansion  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Almost Sure Convergence of the Numerical Discretization of Stochastic Jump Diffusions (2000)
    Springer
    Acta applicandae mathematicae 62 (2000), S. 225-244 
    Details
    ISSN: 1572-9036
    Keywords: jump diffusion ; Stratonovich–Taylor expansion ; exponential Lie series ; Philip Hall basis ; shuffle product ; almost sure convergence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Based on the shuffle product expansion of exponential Lie series in terms of a Philip Hall basis for the stochastic differential equations of jump-diffusion type, we can establish Stratonovich–Taylor–Hall (STH) schemes. However, the STHr scheme converges only at order r in the mean-square sense. In order to have the almost sure Stratonovich–Taylor–Hall (ASTH) schemes, we have to include all the terms related to multiple Poissonian integrals as the moments of multiple Poissonian integrals always have lower orders of magnitudes as compared with those of multiple Brownian integrals.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1006495115904
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Evidence concerning the morphogenesis of saccular receptors in the bullfrog (Rana catesbeiana)Research sponsored by the Joint Services Electronics Program, Contract F44620-71-C-0087 and the United States Public Health Service, National Institute of Health, grant GM-17523-02. (1973)
    New York, NY : Wiley-Blackwell
    Journal of Morphology 139 (1973), S. 351-361 
    Details
    ISSN: 0362-2525
    Keywords: Life and Medical Sciences ; Cell & Developmental Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology , Medicine
    Notes: A dichotomy of hair-cell types has been found in the bullfrog sacculus, and considerable evidence supports the view that one type (“peripheral”) is transformed during macular growth to the other type (“central”). Between the periphery and the center of the macula, one finds a gradation of form from “peripheral” to “central” type. Occasionally in adults and more often in stage-26 tadpoles one finds the presumably younger peripheral type of hair cell occurring well beyond the limits of the macula proper. The apparent morphogenic sequence for saccular hair cells is (1) development of a kinocillum on an endolymphatic epithelial cell, (2) gradual transformation of microvilli into stereocilia, (3) growth of the stereocilia and development of kinociliary bulb, (4) achievement of final size and form.
    Additional Material: 15 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/jmor.1051390305
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Efficient higher-order backward characteristics schemes for transient advection (1994)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 19 (1994), S. 997-1012 
    Details
    ISSN: 0271-2091
    Keywords: Advection ; Method of characteristics ; Finite difference ; Flux limiter ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: The use of the highest-order ((N - 1)th-order) Lagrangian interpolation Polynomial for the approximation of the exact solution in the backward characteristics scheme with N nodes is inefficient owing to the excessive number of terms in the polynomial. New schemes based on a combination of lower-order polynomials to approximate the exact solution are developed, with the relative weighting of the polynomials determined by Fourier mode analysis. With the addition of a flux limiter and a modified discriminator, the resulting schemes are oscillation-free, highly accurate, efficient and more cost-effective as compared with those schemes using the highest-order Lagrangian polynomial.
    Additional Material: 6 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/fld.1650191104
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    Paper (German National Licenses)
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