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  • 1
    Electronic Resource
    Electronic Resource
    On the Green-functions technique and phase velocity approximation of axially symmetric fields in stratified media (1996)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 37 (1996), S. 3824-3832 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: In this paper a numerical method is developed to solve a one-dimensional inverse scattering problem associated with a pair of two coupled partial differential equations. These equations are for the Green functions that can be used for the optimization of electromagnetic energy within selected regions of a medium in which the propagation is taking place. The method is based upon constructing the Nth degree interpolation polynomial to approximate the Green functions and the phase velocity function using Legendre–Gauss–Lobatto collocation points. An example is given to demonstrate the accuracy of the developed method. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.531604
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    An Alternative Method for a Classical Problem in the Calculus of Variations (1996)
    Chichester, West Sussex : Wiley-Blackwell
    Mathematical Methods in the Applied Sciences 19 (1996), S. 1091-1097 
    Details
    ISSN: 0170-4214
    Keywords: Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: A numerical technique for determining the solution of the brachistochrone problem is presented. The brachistochrone problem is first formulated as a non-linear optimal control problem. Using Chebyshev nodes, we construct the Mth degree polynomial interpolation to approximate the state and the control variables. Application of this method results in the transformation of differential and integral expressions into some non-linear algebraic equations to which Newton-type methods can be applied. Simulation studies demonstrate computational advantages relative to existing methods in the literature.
    Additional Material: 3 Tab.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
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