Recurrence relations for the coefficients in Chebyshev series solutions of ordinary differential equations
Author:
T. S. Horner
Journal:
Math. Comp. 35 (1980), 893905
MSC:
Primary 65L05; Secondary 65D20
MathSciNet review:
572863
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Abstract: Systematic methods are presented for obtaining recurrence relations for the coefficients in Chebyshev series solutions of linear differential equations, of first to fourth order, with polynomial coefficients. Polynomial approximations to certain rational functions are also discussed.
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 C. W. CLENSHAW, "The numerical solution of linear differential equations in Chebyshev series," Proc. Cambridge Philos. Soc., v. 53, 1957, pp. 134149. MR 0082196 (18:516a)
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 J. L. SCHONFELDER, "Chebyshev expansions for the error and related functions," Math. Comp., v. 32, 1978, pp. 12321240. MR 0494846 (58:13630)
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 F. J. SMITH, "An algorithm for summing orthogonal polynomial series and their derivatives, with applications to curvefitting and interpolation," Math. Comp., v. 19, 1965, pp. 3336. MR 0172445 (30:2664)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00255718198005728636
PII:
S 00255718(1980)05728636
Article copyright:
© Copyright 1980
American Mathematical Society
