论文信息 - Efficient continued fraction approximations to elementary functions.

Efficient continued fraction approximations to elementary functions.

1. S. Katz, "Chemical reactions catalyzed on a tube wall," Chem. Eng. Sei. v. 10, 1959, p. 202. 2. L. Graetz, "Über die Warmeleitungs fahigkeit von Flüssigkeiten," Ann. Physik, v. 18, 1883, p. 79. 3. G. M. Brown, "Heat or mass transfer in a fluid in laminar flow in a circular or flat conduit," A. I. Ch. E. J., v. 6, 1960, p. 179. 4. J. B. Sellars, M. Tribus, & J. S. Klein, "Heat transfer to laminar flow in a round tube or flat conduit—the Graetz problem extended," Trans. A. S. M. E., v. 78, 1956, p. 441. 5. F. B. Hildebránd, Introduction to Numerical Analysis, McGraw-Hill Publishing Co., New York, 1956, p. 238. 6. R. Siegel, E. M. Sparrow & T. M. Hallman, "Steady laminar heat transfer in a circular tube with prescribed wall heat flux," Appl. Sei. Res., v. A7, 1958, p. 386.

Kurt Spielberg

[1] J. Wrench,et al. The determination of the Chebyshev approximating polynomial for a differentiable function , 1959 .

[2] Anthony Ralston,et al. Mathematical Methods for Digital Computers , 1960 .

[3] T. M. Hallman,et al. Steady laminar heat transfer in a circular tube with prescribed wall heat flux , 1958 .

[4] Kurt Spielberg. Representation of Power Series in Terms of Polynomials, Rational Approximations and Continued Fractions , 1961, JACM.

[5] P. Wynn,et al. The rational approximation of functions which are formally defined by a power series expansion , 1960 .

[6] C. Lanczos. Applied Analysis , 1961 .

[7] Hans J. Maehly. Methods for Fitting Rational Approximations, Part I: Telescoping Procedures for Continued Fractions , 1960, JACM.

[8] M. Tribus,et al. Heat Transfer to Laminar Flow in a Round Tube on Flat Conduit. The Graetz Problem Extended , 1951 .