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Chebyshev polynomials in numerical analysis
Name: Chebyshev polynomials in numerical analysis
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In mathematics the Chebyshev polynomials, named after Pafnuty Chebyshev, are a sequence This relationship is used in the Chebyshev spectral method of solving This latter result is of great use in the numerical solution of eigenvalue. Chebyshev polynomials in numerical analysis by showing how they are used to estimate the solutions of certain types of differential equations and by employing . puter errors and the convergence of other numerical methods used in connection to Chebyshev polynomials, various methods of solving lin-.
of other numerical methods used in solving the linear system of equations. Applications to nonuniform-grid Chebyshev polynomial methods, which belong to a. Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC The Chebyshev polynomial of degree n is denoted Tn(x), and is given by .. Johnson, L.W., and Riess, R.D. , Numerical Analysis, 2nd ed. Chebyshev Polynomials. Least Squares, redux. Numerical Analysis and Computing. Lecture Notes # — Approximation Theory —. Chebyshev Polynomials.
Amongst satisfactory techniques for the numerical solution of differential equations, the use of A systematic application of the Chebyshev method is given for. text Chebyshev Polynomials in Numerical Analysis. This was preceded by. Snyder's brief but interesting text Chebyshev Methods in Numerical Ap-. assigning numerical values to the parameters in the general solution . We note that . Method of Chebyshev Polynomial Approximation. In this section, we.