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  • Flux limiter  (1)
  • Silica deposition vesicles  (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
    Characterizing the silica deposition vesicle of diatoms (1989)
    Springer
    Protoplasma 151 (1989), S. 158-163 
    Details
    ISSN: 1615-6102
    Keywords: Lectins ; Mannose ; Silica deposition vesicles ; Ditylum brightwellii
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Summary The present study on a centric diatom,Ditylum brightwellii, includes two parts: detection of sugars in the silica deposition vesicle (SDV) with lectins and labeling the developing siliceous cell wall in the SDV with rhodamine 123. Cells with developing valves are treated with SDS to remove all the cytoplasmic contents, then either stained with fluorescein labeled lectins or thin-sectioned and stained with colloidal gold labeled lectins. The results show that mannose is part of the organic matrix in the SDV. Rhodamine 123, a non-toxic fluorescent laser dye, enters the cell immediately and is trapped in the SDV probably by the high reducing potential of the SDV. Silica is co-deposited with rhodamine 123 in the SDV, and the resulting valves and girdle bands become fluorescent. Implications of this study for the mechanism of silicification are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01403453
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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
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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