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  • Articles  (17)
  • Mathematics  (10)
  • Geography  (7)
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  • Articles  (17)
  • 1
    Electronic Resource
    Electronic Resource
    Oxford, UK : Blackwell Publishing Ltd
    Journal of the American Water Resources Association 40 (2004), S. 0 
    ISSN: 1752-1688
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Architecture, Civil Engineering, Surveying , Geography
    Notes: : Computer programs that model the fate and transport of organic contaminants through porous media typically use Fick's first law to calculate vapor phase diffusion. Fick's first law, however, is limited to the case of a single, dilute species diffusing into a stagnant, high concentration, bulk vapor phase. When dealing with more than one diffusing species and at higher concentrations, the multicomponent coupling effects on vapor phase diffusion and advection of the various constituents become significant. VLEACH, a one-dimensional finite difference model developed for the U.S. Environmental Protection Agency (USEPA), is typical of the models using Fick's first law to model vapor-phase diffusion. The VLEACH model was modified to accommodate up to 10 components and to calculate the binary diffusion coefficients for each of the components based on molecular weight, molecular volume, temperature and pressure, and to address the coupling effects on multiple component vapor phase diffusion and its impact on ground water. The resulting model was renamed MC-CHEMSOIL. At low vapor phase concentrations, MC-CHEMSOIL predicts identical ground water impacts (dissolved phase loading) to those from VLEACH 2.2a. At higher vapor phase concentrations, however, the relative difference between the models exceeded 20 percent.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    OR spectrum 13 (1991), S. 58-62 
    ISSN: 1436-6304
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    OR spectrum 10 (1988), S. 161-166 
    ISSN: 1436-6304
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Description / Table of Contents: Zusammenfassung Das klassische Verfahren für die adaptive Steuerung von Markovschen Entscheidungsprozessen mit einem unbekannten Parameter und Durchschnittsgewinn-Kriterium wählt auf jeder Stufe eine Entscheidung, die durchschnittsoptimal ist für das Problem mit dem gerade geschätzten Parameter. Aber in vielen Fällen ist es nicht effektiv oder unmöglich, jeweils die optimale Politik für unendlichen Planungshorizont zu berechnen. Deshalb wurden Verfahren der sukzessiven Approximation vorgeschlagen und untersucht. Hier wird nun ein allgemeiner Ansatz vorgestellt, der die beiden genannten Methoden enthält und darüber hinaus den Rahmen für eine Reihe weiterer Verfahren bietet.
    Notes: Summary The classical procedure for the adaptive control of average reward Markov decision processes with an unknown parameter chooses at each stage a decision which is optimal for the average reward problem with the presently estimated parameter. But in many cases it is inefficient or impossible to compute each time the long run optimal policy. So successive approximation methods were proposed and investigated. We present a unifying and generalizing approach including both types of methods mentioned above and generating a lot of new procedures, too.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Statistical inference for stochastic processes 2 (1999), S. 57-68 
    ISSN: 1572-9311
    Keywords: maximum likelihood estimator ; asymptotic efficiency ; stochastic partial differential equations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Consider a parabolic stochastic partial differential equation perturbed by small noise observed on a time interval [0,T]. We construct the maximum likelihood estimators of the coefficients of the operators involved in these equations based on partial observations in the form of diffusion processes and show the asymptotic efficiency for loss functions with polynomial majorant as the variance goes to zero.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Numerische Mathematik 39 (1982), S. 195-204 
    ISSN: 0945-3245
    Keywords: AMS: 30C30, 65H10, 65R20 ; CR: 5.15, 5.18
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary Discretization of the Theodorsen integral equation (T) yields the discrete Theodorsen-equation (T d ), a system of 2N nonlinear equations. A so-called ε-condition may be fulfilled. It is known that (T) has exactly one continuous solution. This solution gives the boundary correspondence of the normalized conformal map of the unit disc onto a given domainG. It is also known that (T d ) has one and only one solution if ε〈1 and at least one solution if ε≧1. We show here that for every ε≧1 and N∈ℕ\ {1} there is a domainG satisfying an ε-condition such that (T d ) has an infinite number of solutions. Moreover, givenK〉0 and any domainG that fulfills an ε-condition, we will construct a domainG 1 in the neighbourhood ofG that fulfills a max (1, ε+K)-condition such that (T d ) forG 1 has an infinite number of solutions. The underlying idea of the construction of those domains allows also to give important new facts about iterative methods for the solution of (T d ), even in the case ε〈1.
    Type of Medium: Electronic Resource
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  • 6
    ISSN: 1436-6304
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Numerische Mathematik 18 (1971), S. 354-366 
    ISSN: 0945-3245
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary A generalization of the method of successive overrelaxation (SOR-method) toward the solution ofx=A x+b (the matrixA being of a special form) is treated. The method depends on two parameters instead of one but needs no more computational efforts. For matricesA with real and pure imaginary eigenvalues, those parameters are determined for which the method converges and those which give “fastest” convergence. The class of matricesA yielding convergence is enlarged in comparison to the SOR-method. The convergence is speeded up except in some cases. Three numerical examples are presented.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Mathematische Zeitschrift 92 (1966), S. 95-109 
    ISSN: 1432-1823
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 8 (1974), S. 139-165 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A finite element formulation is presented for the equations governing the steady thermohydrodynamic behaviour of liquid lubricated bearings. This formulation permits application of the iterative solution scheme to bearings of arbitrary geometry.A generalized Reynolds equation resulting from the combination of the mass and momentum conservation equations is cast into variational form and used to derive general finite element equations. The method of weighted residuals with Galerkin's criterion is used to generate finite element matrix equations for the thermal energy equation. In addition to the finite element formulation, a discussion of appropriate finite difference techniques is also given for problems without complex geometry.As an example, the formulations are applied to obtain numerical solutions for a three-dimensional sector thrust bearing operating in the thermohydrodynamic regime. Pressure, velocity and temperature distributions are give, and the thermohydrodynamic solutions are compared with the results of classical isothermal theory.
    Additional Material: 11 Ill.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical methods of operations research 29 (1985), S. 317-324 
    ISSN: 1432-5217
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Type of Medium: Electronic Resource
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