Chebyshev Approximation
Chebyshev approximation with applications to the numerical solution of differential equations
... (for example Walsh (1935), Sewell (1942)), no further important steps were made until the advent of electronic computers, when the large scale computation of Chebyshev approximations became possible. This led to ...
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Fast and Accurate Radar Cross Section Computation Using Chebyshev Approximation in Both Broad Frequency Band and Angular Domains Simultaneously
... to increase the complexity of the monostatic RCS pattern. The target is discretized with 692 triangular elements which result into 951 basis functions. Fig. 3 shows the monostatic RCS frequency and angular response of a ...
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Solving high-order partial differential equations in unbounded domains by means of double exponential second kind Chebyshev approximation
... [14] M. A. Ramadan, K. R. Raslan T. S. El Danaf and M. A. Abd El salam, On the exponential Chebyshev approximation in unbounded domains: A comparison study for solving high-order ordinary differential ...
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Numerical solution of general nonlinear Fredholm-Volterra integral equations using Chebyshev approximation
... A numerical method for solving nonlinear Fredholm-Volterra integral equations of general type is presented. This method is based on replacement of unknown function by truncated series of well known Chebyshev ...
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Efficient Representatives of Some Transcendental Functions
... of Chebyshev polynomials in the numerical computation of integral transforms and the solutions of integral equations, focusing especially on problems showing ...as Chebyshev and Legendre polynomials to ...
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Linear programming and the calculation of maximum norm approximations
... TABLE OF CONTENTS Acknowledgements Preface ii iii Abstract CHAPTE R 1: I NTRODUCTI ON CHAPTER 2: BEST LINEAR CHEBYSHEV APPROXIMATION CHA PTER 3: CHAPTER 4: 9 2.1 INT RODUCTI ON 2.2 CHARA[r] ...
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REPRESENTING SUMS OF FINITE PRODUCTS OF CHEBYSHEV POLYNOMIALS OF THE FIRST KIND AND LUCAS POLYNOMIALS BY CHEBYSHEV POLYNOMIALS
... of Chebyshev polynomials of the first kind in ...of Chebyshev polynomials to find that all the coefficients involve terminating hypergeometric functions 2 F 1 ...
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Total characters and Chebyshev polynomials
... The total character τ of a finite group G is defined as the sum of all the irreducible characters of G. K. W. Johnson asks when it is possible to express τ as a polyno- mial with integer coefficients in a single irreducible ...
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Chebyshev centers that are not farthest points
... The main results of the paper deal with the general properties of CCF and CCNF sets and spaces. These results are collected in the next few short sections. In the first of them, called “A reformulation of CCNF”, we ...
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REPRESENTING SUMS OF FINITE PRODUCTS OF CHEBYSHEV POLYNOMIALS OF THIRD AND FOURTH KINDS BY CHEBYSHEV POLYNOMIALS
... 10. D.V. Kruchinin, V.V. Kruchinin, Application of a composition of generating functions for obtaining explicit formulas of polynomials, J. Math. Anal. Appl. 404 (2013), no. 1, 161-171. 11. J.C. Mason, Chebyshev ...
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Some properties of Chebyshev polynomials
... In this paper we obtain some new bounds for Chebyshev polynomials and their analogues. They lead to the results about zero distributions of certain sums of Chebyshev polynomials and their analogues. Also we ...
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Fractional Calculus for Solving generalized Abel’s Integral Equations using Chebyshev Polynomials
... with exact solution . Similar to the previous example, Applying chebyshev polynomials of the second kind to integral equation at , we obtain the approximate solution which is the same as the exact solution. ...
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Non parametric linear time invariant system identification by discrete wavelet transforms
... In the (continuous) time domain, the most straightforward technique from a theoretical perspective is to excite the SUT with a Dirac impulse, whereupon the output is the impulse response function h( )—hence its name. ...
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Design of Even-Order Symmetric Bandpass Filter with Chebyshev Response
... The Chebyshev polynomial is often used as a synthesis method of the filter design [12, ...with Chebyshev response is presented in [12], and the Chebyshev lowpass prototype is used in its synthesis ...
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Wavelets operational methods for fractional differential equations and systems of fractional differential equations
... The wavelet theory have drawn great deal of attention from scientists working in various disciplines because of its comprehensive mathematical power and wide range applications in science and engineering. Particularly, ...
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CONNECTION PROBLEM FOR SUMS OF FINITE PRODUCTS OF CHEBYSHEV POLYNOMIALS OF THE THIRD AND FOURTH KINDS
... of Chebyshev polynomials of the third and fourth kinds and expressed each of them in terms of five orthogo- nal polynomials, namely Hermite, generalized Laguerre, Legendre, Gegenbauer and Jacobi ...of ...
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The Lanczos Chebyshev Pseudospectral Method for Solution of Differential Equations
... order approximation, the collocation points near the boundaries would be very close to each ...high-order approximation can be avoided by sub-division into ...
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Improved Bootstrapping for Approximate Homomorphic Encryption
... for Chebyshev Our next idea is to use the Paterson- Stockmeyer algorithm [31], which requires only O( √ n) non-scalar multiplications to evaluate a polynomial of degree n in ...the Chebyshev interpolant in ...
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The Approximation of Hermite Interpolation on the Weighted Mean Norm
... Abstract We research the simultaneous approximation problem of the higher-order Hermite interpolation based on the zeros of the second Chebyshev polynomials under weighted Lp-norm.. The [r] ...
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Wi-Fi Signals Database Construction using Chebyshev Wavelets for Indoor Positioning Systems
... Abstract— Nowadays fast and accurate positioning of assets and people is as a crucial part of many businesses, such as, warehousing, manufacturing and logistics. Applications that offer different services based on mobile ...
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