Results 231 to 240 of about 575,970 (287)
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Asymptotic method for peristaltic transport
Bulletin of Mathematical Biology, 1980The purpose of this paper is to justify an asymptotic method developed for the study of peristaltic transport in a tube of arbitrary cross section. Within the framework of long wave approximation, the three-dimensional nonlinear Navier-Stokes equations are reduced to a sequence of two-dimensional linear boundary value problems of Laplace and biharmonic
Shen, M. C., Shim, S. M., Wu, A. M.
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Asymptotic Methods in Enumeration
SIAM Review, 1974This is an expository paper dealing with those tools in asymptotic analysis which are especially useful in obtaining asymptotic results in enumeration problems. Emphasis is on tools which are general, are easily applied, and give estimates of the form $a_n \sim f(n)$. Many examples are given to illustrate the usage of the various tools.
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Asymptotic Methods in Analysis
1989Summary: Basic asymptotic methods are shown which are used in case of investigation of integrals, series and ordinary differential equations dependening on parameters. The simplest methods of the type of the method of partial integration and non-trivial multidimensional methods of saddle points and of stationary phase are presented.
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2014
Asymptotic analysis is a key ingredient in capturing multiscale dynamics. In this chapter, a collection of asymptotic and perturbation methods is presented. The focus is on the basic principles of methods and key examples to understand their application.
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Asymptotic analysis is a key ingredient in capturing multiscale dynamics. In this chapter, a collection of asymptotic and perturbation methods is presented. The focus is on the basic principles of methods and key examples to understand their application.
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2014
In this chapter, we shall just attempt to compute asymptotic expansions for fast–slow systems by more or less brute force. It is a very instructive technique: just substitute an asymptotic expansion for the solution and see what happens. In other words, where does such a substitution seem to give a good approximation, and where are modifications ...
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In this chapter, we shall just attempt to compute asymptotic expansions for fast–slow systems by more or less brute force. It is a very instructive technique: just substitute an asymptotic expansion for the solution and see what happens. In other words, where does such a substitution seem to give a good approximation, and where are modifications ...
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Asymptotic Methods in Magnetoconvection
The author examines the magnetohydrodynamic convection of an electrically and heat conducting non-viscous fluid in a uniform vertical magnetic field. The stability of a thin horizontal layer of a Boussinesq fluid is investigated in Cartesian coordinates with \(z\)-coordinate directed along the magnetic field. The effects of Ampère force and non-uniformopenaire +2 more sources
Asymptotic high-frequency methods
Proceedings of the IEEE, 1965A review is given of a wide variety of asymptotic methods used in high-frequency scattering. Following brief descriptions of the saddle point method, Watson transformation, and residue series, a survey of the literature is made in which these methods have been employed. The desirability of using high-frequency approximate methods is pointed out.
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