spatio-temporal%20dynamics
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11—20 of 118 matching pages
11: Bibliography D
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Recherches analytiques sur la théorie des nombres premiers. Deuxième partie. Les fonctions de Dirichlet et les nombres premiers de la forme linéaire
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Ann. Soc. Sci. Bruxelles 20, pp. 281–397 (French).
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Pole dynamics for elliptic solutions of the Korteweg-de Vries equation.
Math. Phys. Anal. Geom. 3 (1), pp. 49–74.
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An Introduction to Chaotic Dynamical Systems.
The Benjamin/Cummings Publishing Co. Inc., Menlo Park, CA.
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Complex zeros of cylinder functions.
Math. Comp. 20 (94), pp. 215–222.
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Uniform asymptotic expansions for Whittaker’s confluent hypergeometric functions.
SIAM J. Math. Anal. 20 (3), pp. 744–760.
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12: Bonita V. Saunders
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►As the principal developer of graphics for the DLMF, she has collaborated with other NIST mathematicians, computer scientists, and student interns to produce informative graphs and dynamic interactive visualizations of elementary and higher mathematical functions over both simply and multiply connected domains.
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13: Bibliography P
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A First Course in Fluid Dynamics.
Cambridge University Press, Cambridge.
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Automatic computation of Bessel function integrals.
Comput. Phys. Comm. 25 (3), pp. 289–295.
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14: 8 Incomplete Gamma and Related
Functions
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15: 28 Mathieu Functions and Hill’s Equation
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16: 23.21 Physical Applications
§23.21 Physical Applications
►§23.21(i) Classical Dynamics
►In §22.19(ii) it is noted that Jacobian elliptic functions provide a natural basis of solutions for problems in Newtonian classical dynamics with quartic potentials in canonical form . …17: 8.26 Tables
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Khamis (1965) tabulates for , to 10D.
Abramowitz and Stegun (1964, pp. 245–248) tabulates for , to 7D; also for , to 6S.
Pagurova (1961) tabulates for , to 4-9S; for , to 7D; for , to 7S or 7D.
Zhang and Jin (1996, Table 19.1) tabulates for , to 7D or 8S.
18: 23 Weierstrass Elliptic and Modular
Functions
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19: Bibliography G
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Algorithm 726: ORTHPOL — a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules.
ACM Trans. Math. Software 20 (1), pp. 21–62.
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Algorithm 939: computation of the Marcum Q-function.
ACM Trans. Math. Softw. 40 (3), pp. 20:1–20:21.
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Mutual integrability, quadratic algebras, and dynamical symmetry.
Ann. Phys. 217 (1), pp. 1–20.
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20: Charles W. Clark
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►Clark’s current research interests are the dynamics of ultracold atoms and its application to quantum information, applications of synchrotron radiation, and the exploitation of atomic and molecular physics processes for new methods of neutron detection.
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