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  • 1990-1994  (4)
  • 1985-1989  (2)
  • 1
    Electronic Resource
    Electronic Resource
    Optimal stochastic scheduling of systems with Poisson noises (1987)
    Springer
    Applied mathematics & optimization 15 (1987), S. 187-221 
    Details
    ISSN: 1432-0606
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We consider the problem of optimal stochastic scheduling for nonlinear systems with Poisson noise disturbances and a performance index including both operating costs and costs for scheduling changes. In general, the value functions of the dynamic programming, quasi-variational inequalities which define the optimality conditions for such problems are not differentiable. However, we can treat them as “viscosity solutions” as introduced by Crandall and Lions. Existence and uniqueness questions are studied from this point of view.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01442652
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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
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Least-squares characteristics and finite elements for advection-dispersion simulation (1990)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 29 (1990), S. 1343-1358 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The method of characteristics is combined with the method of least-squares to solve the advection equation within the finite element framework. Fourier mode analysis shows that the numerical scheme is stable and accurate even when a linear basis function is used. However, in practical application, the involvement of using numerical quadrature in this method can produce numerical instability, depending on the value of the Courant number used. It is found that using C1 continuous Hermitian cubic basis functions in the scheme reduces the degree of instability significantly and produces high accuracy. When being used in a split-operator approach, this method combines naturally with the standard finite element method and results in a highly accurate scheme for advection-dispersion simulation.
    Additional Material: 7 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620290615
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    Error study on numerical approximation of radiation boundary condition for one-dimensional wave equation (1993)
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 9 (1993), S. 475-482 
    Details
    ISSN: 1069-8299
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The radiation boundary condition is frequently used at the artificial outflow boundary created in the numerical computation of fluid flow problems to allow outgoing waves to leave the domain undisturbed. However, the numerical approximation of the radiation boundary condition will produce errors which will affect the interior solution. In this work the errors due to two different numerical approximations of the radiation boundary condition are studied, with the one-dimensional wave equation being used as the model equation. A theoretical analysis shows that: (a) if the numerical approximation of the boundary condition generates a celerity error, a reflected wave with amplitude proportional to the size of the celerity error is produced; (b) if the numerical approximation of the boundary condition generates a numerical diffusion and hence an amplitude damping error, a reflected wave with amplitude proportional to the magnitude of the numerical diffusion is produced. A modification of the Sommerfeld radiation boundary condition to account for the linear bottom friction effect is investigated. Numerical experiments show that the use of the backward characteristics scheme with quadratic interpolation is able to reduce significantly the reflection of the wave at the outflow boundary and that the scheme is unconditionally stable.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/cnm.1640090604
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    Paper (German National Licenses)
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  • 6
    Electronic Resource
    Electronic Resource
    Fractional step solution to slack tide oxygen balance equation (1992)
    New York, NY [u.a.] : Wiley-Blackwell
    Communications in Applied Numerical Methods 8 (1992), S. 93-98 
    Details
    ISSN: 0748-8025
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A time-stepping split-operator method is developed to obtain the steady-state solution of the slack tide oxygen balance equation, which takes different formulations at the aerobic and the anaerobic regions, while the direct iterative solution of the steady-state equation can lead to an oscillatory behaviour. The method treats the advection step by the minimax characteristics method, the dispersion step by the central difference method, and the decay step by an analytical solution. Using a large time step (1 tidal cycle) to be compatible with the model formulation, the solution obtained is in good agreement with the exact solution and the computational effort is low.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/cnm.1630080204
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    Paper (German National Licenses)
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