Results 241 to 250 of about 310,408 (297)

Asymptotic Integrability of Water Waves

Physical Review Letters, 1996
Summary: The asymptotic integrability of the idealized water waves is formally established. Namely, it is shown that in the small amplitude, long wave limit there exists an explicit transformation which maps these equations to a system of two integrable equations.
Fokas, A. S., Liu, Q. M.
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Asymptotic screened hydrogenic radial integrals

Journal of the Optical Society of America B, 1988
The screened hydrogenic radial dipole integral for discrete-discrete transitions from initial state n'l' to final state nl is asymptotically expanded to the lowest order such that the final quantum number n --> infinity. The analytical expression obtained is in terms of confluent hypergeometric functions, and explicit expressions for a few of the ...
D A, Olsgaard, F, Khan, G S, Khandelwal
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Asymptotic Behavior of Integrals

SIAM Review, 1972
An account is given of some developments in the asymptotic evaluation of integrals of a single variable. After a discussion of Laplace integrals and quadrature formulas, estimates are provided of the errors in Laplace-type integrals and the method of steepest descents.
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Asymptotic Integration Constants

American Journal of Mathematics, 1946
Not ...
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Asymptotic Approximations of Integral Manifolds

SIAM Journal on Applied Mathematics, 1987
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Asymptotic Evaluation of Multidimensional Integrals

Journal of Mathematical Physics, 1970
The asymptotic evaluation of a wide class of multidimensional integrals occurring in mathematical physics is considered. In this class are included integrals of the form 1(2π)N ∫ −∞∞ρ(k)exp[ik·x−σ(k)t]dk. A semiconstructive method is proven and certain classes of integrals are asymptotically evaluated.
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Asymptotic Evaluation of Integrals

1992
This Chapter concerns methods of estimating certain integrals that depend on a large (or small) parameter. The essential idea in each case is to compare the given integral with a simpler one that can be evaluated exactly yet approximates closely to the original. In the most elementary case the integrand can be expressed as a Taylor series in increasing
D. G. Crighton   +4 more
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