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1—10 of 149 matching pages
1: Publications
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B. V. Saunders and Q. Wang (2005)
Boundary/Contour Fitted Grid Generation for Effective Visualizations
in a Digital Library of Mathematical Functions,
Proceedings of the 9th International Conference on Numerical Grid Generation
in Computational Field Simulations,
San Jose, June 11–18, 2005. pp. 61–71.
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Q. Wang and B. V. Saunders (2005)
Web-Based 3D Visualization in a Digital Library of Mathematical Functions,
Proceedings of the Web3D Symposium,
Bangor, UK, March 29–April 1, 2005.
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B. V. Saunders and Q. Wang (2006)
From B-Spline Mesh Generation to Effective Visualizations for the
NIST Digital Library of Mathematical Functions,
in Curve and Surface Design, Proceedings of the Sixth International
Conference on Curves and Surfaces,
Avignon, France June 29–July 5, 2006,
pp. 235–243.
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B. I. Schneider, B. R. Miller and B. V. Saunders (2018)
NIST’s Digital Library of Mathematial Functions,
Physics Today
71, 2, 48 (2018), pp. 48–53.
2: DLMF Project News
error generating summary3: Antony Ross Barnett
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► 2018) was Senior Research Fellow in the Mathematics Department, University of Waikato, Hamilton, New Zealand.
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4: Bibliography N
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Error bounds for the large-argument asymptotic expansions of the Lommel and allied functions.
Stud. Appl. Math. 140 (4), pp. 508–541.
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Elliptic integrals of the second and third kinds.
Zastos. Mat. 11, pp. 99–102.
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On the calculation of elliptic integrals of the second and third kinds.
Zastos. Mat. 11, pp. 91–94.
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COULN, a program for evaluating negative energy Coulomb functions.
Comput. Phys. Comm. 33 (4), pp. 413–419.
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Symmetries in the fourth Painlevé equation and Okamoto polynomials.
Nagoya Math. J. 153, pp. 53–86.
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5: Bibliography K
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Bernstein, Pick, Poisson and related integral expressions for Lambert
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Integral Transforms Spec. Funct. 23 (11), pp. 817–829.
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Auxiliary table for the incomplete elliptic integrals.
J. Math. Physics 27, pp. 11–36.
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Algorithm 327: Dilogarithm [S22].
Comm. ACM 11 (4), pp. 270–271.
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Dualities in the -Askey scheme and degenerate DAHA.
Stud. Appl. Math. 141 (4), pp. 424–473.
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Jacobi polynomials, Bernstein-type inequalities and dispersion estimates for the discrete Laguerre operator.
Adv. Math. 333, pp. 796–821.
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6: Bibliography I
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IEEE Standard for Interval Arithmetic: IEEE Std 1788.1-2017.
The Institute of Electrical and Electronics Engineers, Inc..
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The zeros of regular Coulomb wave functions and of their derivatives.
Math. Comp. 29, pp. 878–887.
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An integral which occurs in statistics.
Proceedings of the Cambridge Philosophical Society 29, pp. 271–276.
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7: 3.1 Arithmetics and Error Measures
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►In the case of the normalized binary interchange formats, the representation of data for binary32 (previously single precision) (, , , ), binary64 (previously double precision) (, , , ) and binary128 (previously quad precision) (, , , ) are as in Figure 3.1.1.
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►For interval arithmetic, one should refer to the IEEE Standards for Interval Arithmetic IEEE (2015, 2018).
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8: Bibliography R
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Uniform asymptotic approximations to the solutions of the Orr-Sommerfeld equation. I. Plane Couette flow.
Studies in Appl. Math. 53, pp. 91–110.
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Uniform asymptotic approximations to the solutions of the Orr-Sommerfeld equation. II. The general theory.
Studies in Appl. Math. 53, pp. 217–224.
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Universality properties of Gaussian quadrature, the derivative rule, and a novel approach to Stieltjes inversion.
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On the zeros of the hypergeometric function.
Math. Ann. 191 (1), pp. 53–58.
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9: Bibliography C
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Note on Nörlund’s polynomial
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Proc. Amer. Math. Soc. 11 (3), pp. 452–455.
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Properties of generalized Freud polynomials.
J. Approx. Theory 225, pp. 148–175.
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The fourth Painlevé equation and associated special polynomials.
J. Math. Phys. 44 (11), pp. 5350–5374.
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Further formulas for calculating approximate values of the zeros of certain combinations of Bessel functions.
IEEE Trans. Microwave Theory Tech. 11 (6), pp. 546–547.
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Validated computation of certain hypergeometric functions.
ACM Trans. Math. Software 38 (2), pp. Art. 11, 20.
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