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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

The evaluation and estimation of the coefficients in the Chebyshev series expansion of a function
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by David Elliott PDF
Math. Comp. 18 (1964), 274-284 Request permission
References
  • C. W. Clenshaw and A. R. Curtis, A method for numerical integration on an automatic computer, Numer. Math. 2 (1960), 197–205. MR 117885, DOI 10.1007/BF01386223
  • C. W. Clenshaw, The numerical solution of linear differential equations in Chebyshev series, Proc. Cambridge Philos. Soc. 53 (1957), 134–149. MR 82196, DOI 10.1017/s0305004100032072
  • L. Fox, Chebyshev methods for ordinary differential equations, Comput. J. 4 (1961/62), 318–331. MR 136521, DOI 10.1093/comjnl/4.4.318
  • C. W. Clenshaw and H. J. Norton, The solution of nonlinear ordinary differential equations in Chebyshev series, Comput. J. 6 (1963/64), 88–92. MR 155433, DOI 10.1093/comjnl/6.1.88
  • David Elliott, The numerical solution of integral equations using Chebyshev polynomials, J. Austral. Math. Soc. 1 (1959/1960), 344–356. MR 0128087
  • David Elliott, Chebyshev series method for the numerical solution of Fredholm integral equations, Comput. J. 6 (1963/64), 102–111. MR 155452, DOI 10.1093/comjnl/6.1.102
  • David Elliott, A method for the numerical integration of the one-dimensional heat equation using Chebyshev series, Proc. Cambridge Philos. Soc. 57 (1961), 823–832. MR 130126
    • A. Erdélyi, W. Magnus, F. Oberhettinger & F. G. Tricomi, Tables of Integral Transforms, v. 1. McGraw-Hill, New York, 1953.
  • E. W. Hobson, The theory of spherical and ellipsoidal harmonics, Chelsea Publishing Co., New York, 1955. MR 0064922
    • J. Wimp, “Polynomial approximations to integral transforms,” Math. Comp., v. 15, 1961, p. 174. G. Szegö, “Orthogonal polynomials,” Amer. Math. Soc. Colloquium Publication v. 23, 1939.
  • W. Barrett, Convergence properties of Gaussian quadrature formulae, Comput. J. 3 (1960/61), 272–277. MR 128073, DOI 10.1093/comjnl/3.4.272
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Additional Information
  • © Copyright 1964 American Mathematical Society
  • Journal: Math. Comp. 18 (1964), 274-284
  • MSC: Primary 65.25
  • DOI: https://doi.org/10.1090/S0025-5718-1964-0166903-7
  • MathSciNet review: 0166903