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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.

 

Padé approximation to the solution of the Ricatti equation
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Math. Comp. 18 (1964), 627-634 Request permission
References
  • Yudell L. Luke, The Padé table and the $\tau$-method, J. Math. and Phys. 37 (1958), 110–127. MR 99114, DOI 10.1002/sapm1958371110
  • Cornelius Lanczos, Applied analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1956. MR 0084175
  • Yudell L. Luke, Remarks on the $\tau$-method for the solution of linear differential equations with rational coefficients, J. Soc. Indust. Appl. Math. 3 (1955), 179–191. MR 79817, DOI 10.1137/0103016
  • Alexey Nikolaevitch Khovanskii, The application of continued fractions and their generalizations to problems in approximation theory, P. Noordhoff N. V., Groningen, 1963. Translated by Peter Wynn. MR 0156126
  • E. P. Merkes and W. T. Scott, Continued fraction solutions of the Riccati equation, J. Math. Anal. Appl. 4 (1962), 309–327. MR 140753, DOI 10.1016/0022-247X(62)90057-4
  • H. S. Wall, Analytic Theory of Continued Fractions, D. Van Nostrand Co., Inc., New York, N. Y., 1948. MR 0025596
    • E. Laguerre, “Sur la réduction en fractions continues d’une function qui satisfait à une équation différentielle linéaire du premier ordre dont les coefficients sont rationnels,” J. Math. Pures Appl. (4), v. 1, 1885, p. 135-165. A. Erdélyi, W. Magnus, F. Oberhettinger & F. G. Tricomi, Higher Transcendental Functions, Vol. I, McGraw-Hill, New York, 1953. D. G. Randall, “Supersonic flow past quasi-cyclindrical bodies of almost circular cross section,” Aeronautical Research Council Reports and Memoranda No. 3067, November, 1955.
  • Yudell L. Luke, Approximate inversion of a class of Laplace transforms applicable to supersonic flow problems, Quart. J. Mech. Appl. Math. 17 (1964), 91–103. MR 162461, DOI 10.1093/qjmam/17.1.91
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Additional Information
  • © Copyright 1964 American Mathematical Society
  • Journal: Math. Comp. 18 (1964), 627-634
  • MSC: Primary 65.61
  • DOI: https://doi.org/10.1090/S0025-5718-1964-0169380-5
  • MathSciNet review: 0169380