Algorithm 277: Computation of Chebyshev series coefficients
@article{Smith1966Algorithm2C, title={Algorithm 277: Computation of Chebyshev series coefficients}, author={Lyle B. Smith}, journal={Commun. ACM}, year={1966}, volume={9}, pages={86-87} }
modification of the classical least squares method is utilized to approximate a solution to the system of nonlinear equations of condition. After every iteration, the statistic E squared is computed as a measure of the goodness of fit. Commencing with the second iteration, the successive values of E squared are differenced, and when the difference in absolute value becomes less than epsilon, the calculations cease. If the number of iterations necessary to achieve this result exceeds 1 max…
3 Citations
Applications of multi-threading paradigms to stimulate turbulent flows
- Computer Science
- 2017
Rather than running an application that solves the Navier-Stokes equations on one computer, a platform is developed that allows a group of computers to communicate with one another working together to obtain a solution of a specific flow problem.
Computation of Legendre series coefficients
- MathematicsCACM
- 1974
Several algorithms are available for the computation of coefficients of the truncated Chebyshev series expansion on [-1, 1] ƒ(x), but the commonly used algorithms are less suitable for practical use since it requires the abscissas and weights of the Gauss-Legendre quadrature formulas.
References
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Truncation Errors in Two Chebyshev Series Approximations
- Mathematics
- 1965
However, in attempting to find a suitable polynomial approximation to a general function f(x), the integral occurring in equation (1.3) cannot be evaluated explicitly, and recourse has to be made to…
A Comparison of ``Best'' Polynomial Approximations with Truncated Chebyshev Series Expansions
- Mathematics, Computer Science
- 1964
Introduction. In the numerical solution of mathematical problems it is common to represent a function of a real variable by the leading terms of its infinite Chebyshev series expansion. The purpose…