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Asymptotic Approximations of Integral Manifolds

SIAM Journal on Applied Mathematics, 1987
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Asymptotic Analysis of Integrals

2016
In this chapter we carry out the large-N asymptotic analysis of the single and double integrals that arise in the problem. First, in Section 6.1.1, we deal with the one-fold integrals that arise in the characterisation of the image space \(\mathfrak {X}_{s}(\mathbb {R})\) of \(H_{s}\big ( [ a_N \,; b_N ] \big )\) under the operator \(\mathcal {S}_N ...
Gaëtan Borot, Alice Guionnet, Karol K. Kozlowski   +2 more
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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, A. P. Dowling, J. E. Ffowcs Williams, M. Heckl, F. G. Leppington   +4 more
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Propagating Asymptotic ControllabilityThrough Integrators

IEEE Transactions on Automatic Control, 2004
For a class of systems with triangular structure, we derive sufficient conditions for global asymptotic controllability which, according to Clarke-Ledyaev-Sontag-Subbotin theorem, guarantees asymptotic stabilization by discontinuous static feedback.
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THE ASYMPTOTIC EXPANSION OF A CERTAIN INTEGRAL

The Quarterly Journal of Mathematics, 1950
Wright, E. M., Yates, Barbara G.
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Asymptotic Approximations of Integrals

2001
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Asymptotics of Integrals

2013
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THE ASYMPTOTIC BEHAVIOUR OF INTEGRAL FUNCTIONS

The Quarterly Journal of Mathematics, 1955
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Asymptotic integration of a class of nonlinear differential equations

Applied Mathematics Letters, 2006
Yuriy Rogovchenko, Octavian G Mustafa
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On the asymptotic integration of nonlinear differential equations

Journal of Computational and Applied Mathematics, 2007
S Djebali, Ravi Agarwal, Octavian G Mustafa   +2 more
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