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Advances in multiple scale kernel particle methods
Computational Mechanics, 1996A novel approach to multiresolution analysis based on reproducing kernel particle methods (RKPM) and wavelets is presented. The concepts of reproducing conditions, discrete convolutions, and multiple scale analysis are described. By means of a newly proposed semidiscrete Fourier analysis, RKPM is further elaborated in the frequency domain, and the ...
Liu, W. K. +3 more
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Nonlinear Dynamics, 2005
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The Method of Multiple Scales and the ∈-Power Series
1998The perturbation strategy known as the “method of multiple scales” lies at the heart of solitary wave theory. First, it is the vehicle by which three-dimensional reality is approximated by one-dimensional models such as the Korteweg-deVries equation. One might call this “reduction of dimension”.
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An application of the method of multiple scales to magnetohydrodynamic flow
Applied Mathematics and Mechanics, 1982In this paper we study the flow of an incompressible conducting fluid along an elliptic duct imposed in an uniform magnetic field. In case Hartmann number of the flow is sufficiently large, the method of multiple scales is adopted for constructing the asymptotic approximation of solution up to any order.
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On the multiple scales perturbation method for difference equations
2007Electrical Engineering, Mathematics and Computer ...
Van Horssen, W.T. (author) +1 more
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