Darboux%20method
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11—20 of 225 matching pages
11: Publications
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A. Youssef (2007)
Methods of Relevance Ranking and Hit-content Generation in Math Search,
Proceedings of Mathematical Knowledge Management (MKM2007),
RISC, Hagenberg, Austria, June 27–30, 2007.
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B. Saunders and Q. Wang (2010)
Tensor Product B-Spline Mesh Generation for Accurate Surface Visualizations
in the NIST Digital Library of Mathematical Functions,
in Mathematical Methods for Curves and Surfaces, Proceedings of the 2008 International
Conference on Mathematical Methods for Curves and Surfaces (MMCS 2008), Lecture Notes in Computer
Science, Vol. 5862, (M. Dæhlen, M. Floater., T. Lyche, J. L. Merrien, K. Mørken, L. L. Schumaker, eds),
Springer, Berlin, Heidelberg (2010) pp. 385–393.
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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.
12: 17.18 Methods of Computation
§17.18 Methods of Computation
… ►Method (2) is very powerful when applicable (Andrews (1976, Chapter 5)); however, it is applicable only rarely. Lehner (1941) uses Method (2) in connection with the Rogers–Ramanujan identities. ►Method (1) can sometimes be improved by application of convergence acceleration procedures; see §3.9. Shanks (1955) applies such methods in several -series problems; see Andrews et al. (1986).13: 12.18 Methods of Computation
§12.18 Methods of Computation
►Because PCFs are special cases of confluent hypergeometric functions, the methods of computation described in §13.29 are applicable to PCFs. …14: Bibliography N
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Modern Computing Methods.
2nd edition, Notes on Applied Science, No. 16, Her Majesty’s Stationery Office, London.
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On an integral transform involving a class of Mathieu functions.
SIAM J. Math. Anal. 20 (6), pp. 1500–1513.
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Reduction and evaluation of elliptic integrals.
Math. Comp. 20 (94), pp. 223–231.
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An explicit formula for the coefficients in Laplace’s method.
Constr. Approx. 38 (3), pp. 471–487.
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An extension of Laplace’s method.
Constr. Approx. 51 (2), pp. 247–272.
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15: Bibliography K
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Numerical Methods and Software.
Prentice Hall, Englewood Cliffs, N.J..
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Methods of computing the Riemann zeta-function and some generalizations of it.
USSR Comput. Math. and Math. Phys. 20 (6), pp. 212–230.
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The Rayleigh function: Theory and computational methods.
Zh. Vychisl. Mat. Mat. Fiz. 39 (12), pp. 1962–2006.
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An indirect method for evaluating certain infinite integrals.
Z. Angew. Math. Phys. 29 (3), pp. 380–386.
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On some boundary element methods for the heat equation.
Numer. Math. 46 (1), pp. 101–120.
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16: Bibliography O
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Asymptotic Enumeration Methods.
In Handbook of Combinatorics, Vol. 2, L. Lovász, R. L. Graham, and M. Grötschel (Eds.),
pp. 1063–1229.
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Computing : The combinatorial method.
Revista do DETUA 4 (6), pp. 759–768.
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An error analysis of the modified Clenshaw method for evaluating Chebyshev and Fourier series.
J. Inst. Math. Appl. 20 (3), pp. 379–391.
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A new method for the evaluation of zeros of Bessel functions and of other solutions of second-order differential equations.
Proc. Cambridge Philos. Soc. 46 (4), pp. 570–580.
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A further method for the evaluation of zeros of Bessel functions and some new asymptotic expansions for zeros of functions of large order.
Proc. Cambridge Philos. Soc. 47, pp. 699–712.
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17: Bibliography R
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Methods of Modern Mathematical Physics, Vol. 2, Fourier Analysis, Self-Adjointness.
Academic Press, New York.
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Methods of Modern Mathematical Physics, Vol. 4, Analysis of Operators.
Academic Press, New York.
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Methods of Modern Mathematical Physics, Vol. 3, Scattering Theory.
Academic Press, New York.
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Methods of Modern Mathematical Physics, Vol. 1, Functional Analysis.
Elsevier, New York.
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General Computation Methods of Chebyshev Approximation. The Problems with Linear Real Parameters.
Publishing House of the Academy of Science of the Ukrainian SSR, Kiev.
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18: 19.18 Derivatives and Differential Equations
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►The next four differential equations apply to the complete case of and in the form (see (19.16.20) and (19.16.23)).
►The function satisfies an Euler–Poisson–Darboux equation:
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