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Showing 1 to 7 of 7 for “"POLYNOMIAL SERIES"”.
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ΑΝΑΛΥΣΗ - ΑΝΑΓΝΩΡΙΣΗ - ΑΡΙΣΤΟΣ ΕΛΕΓΧΟΣ ΚΑΙ ΕΥΑΙΣΘΗΣΙΑ ΓΡΑΜΜΙΚΩΝ ΣΥΣΤΗΜΑΤΩΝ ΜΕ ΤΗΝ ΧΡΗΣΗ ΣΕΙΡΩΝ
THIS THESIS IS REFERED TO POLYNOMIAL SERIES AND THEIR APPLICATION IN PROBLEMS OF AUTOMATIC CONTROL SYSTEMS. THE FOLLOWING PROBLEMS OF LINEAR SYSTEMS ARE BEING STUDIED: A) ANALYSIS OF TIME-INVARIANT AND TIME-VARYING SYSTEMS THAT ARE DESCRIBED BY STATE SPACE OR BY N-TH ORDER DIFFERENTIAL EQUATIONS. …
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Elementos finitos Taylorianos
… element model which makes use of the Taylor series to represent the displacement field, is presented. This way the interpolation functions for a domain in the periphery of the origin of the expansion in series are defined in respect to some points in the periphery of that origin. The form of …
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VLSI implementation of an efficient method for the computation of line spectral frequencies
… properties of the symmetric and antisymmetric polynomial roots limit the region which must be searched, however it is still necessary to perform a root-finding algorithm on a high-order polynomial.</p> <p>Certain algorithms have been developed to reduce the complexity of the root finding …
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Solution of non-linear partial differential equations with the Chebyshev Spectral method
… partial differential equations. The Chebyshev Polynomial series follows a well established recursion relation for calculation of the polynomials and their derivatives. Two different schemes are studied for formulation of the problems, a Fast Fourier Transform approach, and a matrix …
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Performance analysis of functional expansion tallies on 2D PWR pin cell
… the performance of FETs using a Zernike polynomial series has never been thoroughly tested. This work performs an analysis of Zernike-based FETs on a 2D PWR pin-cell geometry and compares the simulation time and accuracy with conventional histogram tallies for reaction rate tallies needed …
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Dynamic Load Balancing for a hp-adaptive Discontinuous Galerkin Wave Equation Solver via Spacing-Filling Curve and Advanced Data Structure
… discretizes solution functions as weighted polynomial series. In this work, Legendre polynomials are chosen. With higher-order method and AMR techniques, a computational cost-efficient solver is formed. Two types of refinements are invoked: h-refinement, where elements are split or merged, …
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Analysis of framed-tube structures for high-rise buildings
… to be represented with sufficient accuracy by polynomial series in the horizontal coordinates, the coefficients of the series being functions of the height coordinate only. After satisfying the equations of equilibrium, the unknown functions are determined from the principle of least work by …