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  • 1
    Unknown
    Datenbank-Handbuch (1987)
    Berlin [u.a.] : Springer
    Details Availability
    Call number: M 92.1381 ; O 6775
    Pages: XII, 690 S.
    ISBN: 354010741X
    Series Statement: Informatik-Handbücher
    Classification:
    C.2.5.
    Language: German
    Branch Library: GFZ Library
    Branch Library: GFZ Library
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  • 2
    Series available for loan
    Series available for loan
    The Post-FIBEX Data Interpretation Workshop, Hamburg 21 September - 9 October 1982 (1982)
    Bremerhaven : Alfred-Wegener-Inst. für Polar- und Meeresforschung
    Associated volumes
    Details Availability
    Call number: ZSP-168-8
    In: Berichte zur Polarforschung
    Type of Medium: Series available for loan
    Pages: 20 S. : graph. Darst.
    Series Statement: Berichte zur Polarforschung 8
    URL: http://hdl.handle.net/10013/epic.10008
    Language: English
    Location: AWI Reading room
    Branch Library: AWI Library
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  • 3
    Electronic Resource
    Electronic Resource
    Ausgangsvektoren für monotone Iterationen bei linearen Gleichungssystemen (1964)
    Springer
    Numerische Mathematik 6 (1964), S. 78-88 
    Details
    ISSN: 0945-3245
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01386057
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  • 4
    Electronic Resource
    Electronic Resource
    On theR-order of coupled sequences arising in single-step type methods (1988)
    Springer
    Numerische Mathematik 53 (1988), S. 653-661 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS): 65H10 ; 15A48 ; CR: G1.5
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary As shown in preceding papers of the authors, the verification of anR-convergence order τ for sequences coupled by a system (1.1) of basic inequalities can be reduced to the positive solvability of system (3.3) of linear inequalities. Further, the bestR-order $$\bar \tau$$ implied by (1.1) is equal to the minimal spectral radius of certain matrices composed from the exponents occuring in (1.1). Now, these results are proven in a unified and essentially simpler way. Moreover, they are somewhat extended in order to facilitate applications to concrete methods.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01397134
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  • 5
    Electronic Resource
    Electronic Resource
    A stabilized vapor liquid interface in deuterated cyclohexane–methanol mixtures (1986)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 85 (1986), S. 3631-3635 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The ellipticity of the vapor–liquid interface above mixtures of methanol (CH3OH) and deuterated cyclohexane (C6D12) has been measured in the vicinity of the consolute point. The data above and below Tc are consistent with models for the structure of the interface adapted from the theory of Widom and Ramos-Gomez and Widom. As three-phase coexistence is approached, the quantity of methanol adsorbed at the interface increases whether ordinary or deuterated cyclohexane is used in the mixture. If ordinary cyclohexane were used for studies within the three-phase region below Tc, thick, unstable, lenticular films of the methanol-rich liquid phase would form at the interface and lead to nonreproducible data. In the present measurements lenticular films do not form when deuterated cyclohexane is used in the mixture. (The entire methanol-rich phase then forms on top.) The gravitationally stable interface above the deuterated mixture can be studied reliably in the three-phase region below Tc even though the liquid phases are nearly density matched.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.450934
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  • 6
    Electronic Resource
    Electronic Resource
    Structure of the vapor–liquid interface near the critical point (1993)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 99 (1993), S. 582-589 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We measured the thicknesses of the vapor–liquid interfaces near the critical points of carbon dioxide (CO2), sulfur hexafluoride (SF6), and trifluoromethane (CHF3) using ellipsometry. The data (when scaled by the refractive index difference Δn and the correlation length ξ) are in agreement with other ellipticity data for binary and pseudobinary mixtures at low pressures. Fully constrained theories of the interface correctly predict the temperature dependence and scaling of the thickness but systematically overestimate the thickness itself by 15%–20%. The theory can be brought into agreement with experiment when an intrinsic interfacial stiffness is added to the theory. A novel feature of the present measurements is that the effects from pressure-induced window strain were measured and mitigated by using a cylindrically-symmetric pressure cell with floating seals.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.465784
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  • 7
    Electronic Resource
    Electronic Resource
    STUDIES OF THIN FILMS IN BINARY FLUID MIXTURES USING ELLIPSOMETRY (1983)
    Oxford, UK : Blackwell Publishing Ltd
    Annals of the New York Academy of Sciences 404 (1983), S. 0 
    Details
    ISSN: 1749-6632
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Natural Sciences in General
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1749-6632.1983.tb19495.x
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  • 8
    Electronic Resource
    Electronic Resource
    Konvergenz von quadratischen Interpolations- und Flächenabgleichssplines (1978)
    Springer
    Computing 19 (1978), S. 351-363 
    Details
    ISSN: 1436-5057
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Abstract The purpose of this paper is to show that for continuous functions the related quadratic splines converge without any assumption on the spline grid. The points of the interpolatory grid can be chosen between the corresponding points of the spline grid with a division ratio from $$\frac{{\sqrt 2 }}{2}$$ to $$1 - \frac{{\sqrt 2 }}{2}$$ . In the case of continuously differentiable functions the division ratio can even be taken between 0 and 1; in addition, the order of convergence is increased. For twice differentiable functions the full order of convergence is obtained. Analogous results about the convergence of histo splines are proved.
    Notes: Zusammenfassung In der Hauptsache wird gezeigt, daß quadratische Interpolationssplines ohne zusätzliche Voraussetzungen an das Splinegitter gegen die erzeugende Funktion konvergieren, sofern diese stetig ist. Dabei kann das Interpolationsgitter mit einem zwischen $$1 - \frac{{\sqrt 2 }}{2}$$ und $$\frac{{\sqrt 2 }}{2}$$ gelegenen Teilungsverhältnis aus dem Splinegitter erzeugt werden. Im Falle von stetig differenzierbaren Funktionen, bei denen das Teilungsverhältnis sogar zwischen 0 und 1 gewählt werden kann, erhöht sich die Konvergenzordnung der zugehörigen Splines und wird bei zweimaliger Differenzierbarkeit voll ausgeschöpft. Analoge Resultate werden über die Konvergenz von Flächenabgleichssplines gewonnen.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02252032
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  • 9
    Electronic Resource
    Electronic Resource
    Convexity preserving interpolation with exponential splines (1986)
    Springer
    Computing 36 (1986), S. 335-342 
    Details
    ISSN: 1436-5057
    Keywords: 65D07 ; 41A15 ; 90C20 ; Convexity conditions ; weakly coupled system of inequalities ; numerical algorithms ; quadratic programming ; unconstrained dual program with tridiagonal Hessian
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Während die Aufgabe der konvexen Interpolation im Falle kubischer Splines im allgemeineen nicht lösbar ist, kann jetzt gezeigt werden, daß sie bei Verwendung von Exponentialsplines Lösungen besitzt sofern die vorkommenden Parameter hinreichend roß sind, und es werden konkrete hinreichende und notwendige Lösbarkeitsbedingungen hergeleitet. Da eindeutige Lösbarkeit in der Regel nicht vorliegt, wird eine Auswahlfunktion eingeführt und das entstehende quadratische Optimierungsproblem nach Dualisierung numerisch behandelt.
    Notes: Abstract Sufficient and necessary conditions are derived under which interpolating splines are convex if the data set is in convex position. In order to select one of the interpolants, by means of a well-known objective function a quadratic optimization problem is stated which can be solved effectively by passing to a dual program.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02240208
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  • 10
    Electronic Resource
    Electronic Resource
    Powell-Sabin splines in range restricted interpolation of scattered data (1994)
    Springer
    Computing 53 (1994), S. 137-154 
    Details
    ISSN: 1436-5057
    Keywords: 65D05 ; 65D07 ; 41A15 ; Shape preserving interpolation of scattered data ; range restrictions ; Powell-Sabin splines ; minimum norm modification ; thin plate functional
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Behandelt wird die Interpolation unregelmäßig verteilter Daten durch quadratische Powell-Sabin-Splines, wobei stückweise konstante obere und untere Schranken für die Funktionswerte der Interpolierenden vorgegeben sind. Die hergeleiteten hinreichenden Bedingungen für die Einhaltung der zweiseitigen Schranken ergeben ein lösbares lineares Ungleichungssytem für die Gradienten als Parameter, welches bezüglich der Datenpunkte separiert ist. Die Auswahl von visuell gefälligen Interpolierenden erfolgt durch die Minimierung geeigneter Funktionale.
    Notes: Abstract The construction of range restricted bivariateC 1 interpolants to scattered data is considered. In particular, we deal with quadratic spline interpolation on a Powell-Sabin refinement of a triangulation of the data sites subject to piecewise constant lower and upper bounds on the values of the interpolant. The derived sufficient conditions for the fulfillment of the range restrictions result in a solvable system of linear inequalities for the gradients as parameters, which is separated with respect to the data sites. Since there exists an infinite number of spline interpolants meeting the constraints, the selection of a visually pleasant solution is based on the minimum norm modification of a suitable initial interpolant or on the minimization of the thin plate functional. While the first proposal reduces to the solution of independent local quadratic programs, the second proposal results in a global quadratic optimization problem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02252986
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