Algorithm 47. Solution of a first-order non-linear differential equation in Chebyshev series
S. Lewanowicz (1976)
Applicationes Mathematicae
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Displaying similar documents to “A matrix analysis of the stability of the Clenshaw algorithm.”
Algorithm 47. Solution of a first-order non-linear differential equation in Chebyshev series
Algorithm 50. Joining of Chebyshev series
Anna Trzmielak (1977)
Applicationes Mathematicae
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Algorithm 13. Approximate function expansion into a Chebyshev series
Z. Cylkowski (1971)
Applicationes Mathematicae
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The Chebyshev Solution of the Linear Matrix Equation AX + YB = C.
K. Zietak (1985)
Numerische Mathematik
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The Chebyshev Solution of Certain Matrix Equations.
W.A. Light (1990)
Numerische Mathematik
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On the characteristic equation of Chebyshev matrices.
Bucur, Amelia, Alvarez-Ballesteros, S., López-Bonilla, J.L. (2007)
General Mathematics
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Extended Chebyshev systems for the expansions of exp (At).
J. L. Malaina, M. de la Sen (1989)
Collectanea Mathematica
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Error autocorrection in rational approximation and interval estimates. [A survey of results.]
Grigori Litvinov (2003)
Open Mathematics
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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...
Evaluation of coefficients of a double Chebyshev series of the function g(p(x+y))
Krystyna Ziętak (1988)
Applicationes Mathematicae
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Solution and stability of a set of th order linear differential equations with periodic coefficients via Chebyshev polynomials.
Sinha, S.C., Butcher, Eric A. (1996)
Mathematical Problems in Engineering
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Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions
Helmut Prodinger (2017)
Open Mathematics
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A recursion formula for derivatives of Chebyshev polynomials is replaced by an explicit formula. Similar formulae are derived for scaled Fibonacci numbers.
Compression of satellite data.
Roberto Barrio, Antonio Elipe (2002)
Revista Matemática Complutense
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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...