Asymptotics beyond all orders
著者
書誌事項
Asymptotics beyond all orders
（NATO ASI series, . Series B,
Plenum Press, c1991
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注記
"Proceedings of a NATO Advanced Research Workshop on Asymptotics beyond All Orders, held January 7-11, 1991, in La Jolla, California"--T.p. verso
"Published in cooperation with NATO Scientific Affairs Division."
Includes bibliographical references and index
内容説明・目次
内容説明
An asymptotic expansion is a series that provides a sequence of increasingly accurate approximations to a function in a particular limit. The formal definition, given by Poincare (1886, Acta Math. 8:295), is as follows. Given a function,
目次
- Asymptotology and Borel Summation: Asymptotics, Superasymptotics Hyperasymptotics
- M. Berry. The Geometric Model of Crystal Growth: Numerical Analysis of the Geometric Model of Crystal Growth
- J.M. Hammersley. Dendritic Crystal Growth: An Experimental Assessment of Continuum Models of Dendritic Growth
- J.P. Gollub. Directional Solidification of Solids: Directional Growth of Dilute Mixtures and Lamellar Eutectics
- K. Kassner, et al. Flow in a Hele-Shaw Cell: Viscous Displacement in a Hele-Shaw Cell
- S. Tanveer. The Rapidly Forced Pendulum: Exponentially Small Estimate for Separatrix Splittings
- J. Scheurle, et al. Ordinary Differential Equations: Singular Perturbations of Solitons
- Y. Pomeau. Solitary Water Waves in the Presence of Small Surface Tension: Solitary Waves with Ripples Beyond All Orders
- J.T. Beale. Problems in Optics. Potpourri. 23 additional articles. Index.
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