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  • 1
    Electronic Resource
    Electronic Resource
    MODELING THE IMPACT OF MULTICOMPONENT VOCs ON GROUND WATER USING THE STEFAN-MAXWELL EQUATION (2004)
    Oxford, UK : Blackwell Publishing Ltd
    Journal of the American Water Resources Association 40 (2004), S. 0 
    Details
    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
    URL: http://dx.doi.org/10.1111/j.1752-1688.2004.tb01039.x
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  • 2
    Electronic Resource
    Electronic Resource
    Buchbesprechungen (1991)
    Springer
    OR spectrum 13 (1991), S. 58-62 
    Details
    ISSN: 1436-6304
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01719774
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  • 3
    Electronic Resource
    Electronic Resource
    A unified approach to adaptive control of average reward Markov decision processes (1988)
    Springer
    OR spectrum 10 (1988), S. 161-166 
    Details
    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
    URL: http://dx.doi.org/10.1007/BF01740510
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  • 4
    Electronic Resource
    Electronic Resource
    Asymptotic Properties of the Maximum Likelihood Estimator for Stochastic PDEs Disturbed by Small Noise (1999)
    Springer
    Statistical inference for stochastic processes 2 (1999), S. 57-68 
    Details
    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
    URL: http://dx.doi.org/10.1023/A:1009990504925
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  • 5
    Electronic Resource
    Electronic Resource
    Über die Anzahl der Lösungen der diskreten Theodorsen-Gleichung (1982)
    Springer
    Numerische Mathematik 39 (1982), S. 195-204 
    Details
    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
    URL: http://dx.doi.org/10.1007/BF01408693
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  • 6
    Electronic Resource
    Electronic Resource
    Buchbesprechungen (1983)
    Springer
    OR spectrum 5 (1983), S. 60-66 
    Details
    ISSN: 1436-6304
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01720291
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  • 7
    Electronic Resource
    Electronic Resource
    Zweiparametrige Überrelaxation (1971)
    Springer
    Numerische Mathematik 18 (1971), S. 354-366 
    Details
    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
    URL: http://dx.doi.org/10.1007/BF01404686
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  • 8
    Electronic Resource
    Electronic Resource
    Die Faktorisierung konformer Abbildungen und Anwendungen (1966)
    Springer
    Mathematische Zeitschrift 92 (1966), S. 95-109 
    Details
    ISSN: 1432-1823
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01312429
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  • 9
    Electronic Resource
    Electronic Resource
    Stress in the lithosphere generated by terrain topography and density inhomogeneities in the earth's crust (1987)
    Springer
    Studia geophysica et geodaetica 31 (1987), S. 145-155 
    Details
    ISSN: 1573-1626
    Source: Springer Online Journal Archives 1860-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences , Physics
    Description / Table of Contents: Summary The methods are described and results presented of computing the two-dimensional stress field in a particular section of International Geotraverse I. The present effects of loads, caused by terrain topography and density inhomogeneities in the Earth's crust, were considered to be the sources of the stress. The corresponding values of the deviatoric stresses in the area considered are of the order of 5 MPa.
    Notes: Резюме Оnuсaнa меmо¶rt;uкa u резульmamы рaсчеma ¶rt;вумерного nоля нanряженuŭ нa учaсmке меж¶rt;унaро¶rt;ногогеоmрaверсaI. Исmочнuкaмu нanряженuŭ являеmся совмесmное влuянuе нaгрузок оm рельефa месmносmu u оm nлоmносmных нео¶rt;норо¶rt;носmеŭ земноŭ коры. Сооmвеmсmвующuе ¶rt;евuamорные нanряженuя ¶rt;осmuгaюm велuчuн nоря¶rt;кa 5 МПa.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01638201
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  • 10
    Electronic Resource
    Electronic Resource
    Subsurface Sensing, Subsurface Aquametry (2000)
    Springer
    Subsurface sensing technologies and applications 1 (2000), S. 365-376 
    Details
    ISSN: 1573-9317
    Keywords: subsurface aquametry ; dielectric aquametry ; water content ; soil moisture
    Source: Springer Online Journal Archives 1860-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: Abstract An attempt is started to define the terms of aquametry and its adjective subsurface. Subsurface Sensing represents a field of scientific research and development character, which is much wider than that of the classical non-destructive material testing in industrial production. It covers the 2 or 3D mapping of distributed parameters, broad application fields, the interactions of waves and beams with matter, signal propagation in media, almost all sensing techniques like radar, optical, acoustic and nuclear sensors as well as the measurements of material properties. Dielectric sensing dominates in the water content determination, i.e. in aquametry. The problems of aquametry are critically commented: Proposals of free and bound water definitions are made. The volume-related water content determination is preferred. The reference method, i.e. oven drying, impedes the development. The calibration or relation to the water content in indirect measurements is discussed. Optimum measuring frequency is treatedas well. Subsurface Aquametry is introduced as a development of Microwave Aquametry and Dielectric Aquametry. Also, dielectric water research is involved. By providing included and excluded examples and accepting the basic features of common Aquametry, the subject is defined with a call for contributions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1026507414097
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