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  • Numerical Methods and Modeling  (2)
  • duality  (2)
  • ATPase, Ca^2^+-  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Amsterdam : Elsevier
    Biochimica et Biophysica Acta (BBA)/Bioenergetics 1188 (1994), S. 220-226 
    ISSN: 0005-2728
    Keywords: ATPase, (Mg^2^+,Ca^2^+)- ; ATPase, Ca^2^+- ; ATPase, Na^+/K^+- ; Drug ; Fluorescence ; Microsomal membrane
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Biology , Chemistry and Pharmacology , Medicine , Physics
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 56 (1988), S. 227-243 
    ISSN: 1573-2878
    Keywords: Optimal control ; nondifferentiable control problems ; optimality conditions ; Fritz John optimality conditions ; duality ; converse duality ; continuous programming ; mathematical programming
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Optimality conditions and duality results are obtained for a class of control problems having a nondifferentiable term in the integrand of the objective functional. These results generalize many well-known results in optimal control theory involving differentiable functions, and also provide a relationship with certain nondifferentiable mathematical programming problems. Some extensions concerning the unified treatment of optimal control theory and continuous programming are also mentioned. Finally, a control problem containing an arbitrary norm, along with its appropriate norm, is given.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 79 (1993), S. 105-125 
    ISSN: 1573-2878
    Keywords: Multiobjective fractional programming ; Fritz John and Kuhn-Tucker optimality conditions ; duality
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Fritz John and Kuhn-Tucker necessary and sufficient conditions for a Pareto optimum of a subdifferentiable multiobjective fractional programming problem are derived without recourse to an equivalent convex program or parametric transformation. A dual problem is introduced and, under convexity assumptions, duality theorems are proved. Furthermore, a Lagrange multiplier theorem is established, a vector-valued ratio-type Lagrangian is introduced, and vector-valued saddle-point results are presented.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 13 (1997), S. 739-751 
    ISSN: 1069-8299
    Keywords: chaotic behaviour ; Poincaré maps ; FFT ; Lyapunov exponent ; fractal dimensions ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Chaotic behaviour of physical systems has been observed experimentally and numerically. It has also been observed that chaotic systems are extremely sensitive to initial conditions. In this paper, the efficacy of using different numerical integration schemes, some of which are preferred in finite element software for transient dynamics, is discussed using techniques to detect chaotic behaviour such as Poincaré maps, FFTs, the Lyapunov exponent and fractal dimensions. © 1997 John Wiley & Sons, Ltd.
    Additional Material: 8 Ill.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 40 (1997), S. 3059-3083 
    ISSN: 0029-5981
    Keywords: disturbed state concept ; softening ; finite element algorithms ; localization ; mesh dependence ; validations ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The disturbed state concept (DSC) provides a unified approach for constitutive modelling of engineering materials including such factors as elastic, plastic and creep strains, microcracking, damage and softening, and stiffening responses. The interacting mechanisms in the material mixture composed of the relative intact and fully adjusted states provide implicitly for various factors such as microcrack interaction and characteristic dimension. The DSC model can allow for well-posedness, reduction or elimination of spurious mesh dependence and localization. A number of problems are solved to illustrate convergence and uniqueness of the finite element procedures, localization, spurious mesh dependence, and validation with respect to observed behavior of simulated and practical problems. © 1997 John Wiley & Sons, Ltd.
    Additional Material: 16 Ill.
    Type of Medium: Electronic Resource
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