Národní úložiště šedé literatury Nalezeno 3 záznamů.  Hledání trvalo 0.01 vteřin. 
Accuracy Comparison of Some 2D Numerical Inverse Laplace Transform Methods
R-Smith, Nawfal Al-Zubaidi
Numerical Laplace inversions are essential to use when the analytical manipulations of the Laplace transform tables are not possible to apply, and this becomes more and more difficult for applications with higher number of variables. In this paper we describe three methods for 2D numerical inverse Laplace transforms and analyse the methods as for their accuracy and calculation efficiency by implementing them in the Matlab environment. The relative and absolute errors for three different testing functions with previously known originals are presented in a comparative table for the selected points, and the 3D resulting plots for the inversion of a test function are displayed.
Accelerated Hyperbolic Nilt Method Used For Frequency–Dependent Transmission Linesimulation
R–Smith, Nawfal Al–Zubaidi
In this paper a proposed hyperbolic numerical inverse Laplace transform method is presented and utilized to simulate waves along a frequency dependent lossy transmission line. The method is accelerated via the quotient–difference (qd) algorithm of Rutishauser, which speeds up the convergence of residual infinite series. In general, Laplace transform is very useful in the solution of partial differential equations describing transient behaviour of linear dynamical systems, but the difficulty arises in obtaining their originals analytically. This difficulty can be overcome by using the numerical method. The paper presents an application of a proposed qd–NILT method to simulate voltage and/or current waveforms along frequency–dependent transmission lines. The technique was algorithmized in the Matlab language and experimentally verified.
Accuracy Comparison of Some 2D Numerical Inverse Laplace Transform Methods
R-Smith, Nawfal Al-Zubaidi
Numerical Laplace inversions are essential to use when the analytical manipulations of the Laplace transform tables are not possible to apply, and this becomes more and more difficult for applications with higher number of variables. In this paper we describe three methods for 2D numerical inverse Laplace transforms and analyse the methods as for their accuracy and calculation efficiency by implementing them in the Matlab environment. The relative and absolute errors for three different testing functions with previously known originals are presented in a comparative table for the selected points, and the 3D resulting plots for the inversion of a test function are displayed.

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