Algorithm 13. Approximate function expansion into a Chebyshev series
Z. Cylkowski (1971)
Applicationes Mathematicae
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Displaying similar documents to “Indefinite integration of oscillatory functions”
Algorithm 13. Approximate function expansion into a Chebyshev series
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S. Lewanowicz (1976)
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Algorithm 50. Joining of Chebyshev series
Anna Trzmielak (1977)
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A matrix analysis of the stability of the Clenshaw algorithm.
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Compression of satellite data.
Roberto Barrio, Antonio Elipe (2002)
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In this paper, we present the simple and double compression algorithms with an error control for compressing satellite data corresponding to several revolutions. The compressions are performed by means of approximations in the norm L by finite series of Chebyshev polynomials, with their known properties of fast evaluation, uniform distribution of the error, and validity over large intervals of time. By using the error control here introduced, the number of terms of the series is given...
Evaluation of coefficients of a double Chebyshev series of the function g(p(x+y))
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Error autocorrection in rational approximation and interval estimates. [A survey of results.]
Grigori Litvinov (2003)
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The error autocorrection effect means that in a calculation all the intermediate errors compensate each other, so the final result is much more accurate than the intermediate results. In this case standard interval estimates (in the framework of interval analysis including the so-called a posteriori interval analysis of Yu. Matijasevich) are too pessimistic. We shall discuss a very strong form of the effect which appears in rational approximations to functions. The error autocorrection...