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2009
We consider a straight homogeneous metal rod of length l, cross-section S, and density ρ. We choose the axis x along the rod, and let x = 0 be the left end of the rod, so that x = l is its right end. Denote by u(x,t) the temperature of the rod at a point x at the moment t > 0. We assume that the cross-section is small, so that u depends only on x.
Alexander Komech, Andrew Komech
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We consider a straight homogeneous metal rod of length l, cross-section S, and density ρ. We choose the axis x along the rod, and let x = 0 be the left end of the rod, so that x = l is its right end. Denote by u(x,t) the temperature of the rod at a point x at the moment t > 0. We assume that the cross-section is small, so that u depends only on x.
Alexander Komech, Andrew Komech
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Bulletin of The Seismological Society of America (BSSA), 1989
The Fourier method, the second-order finite-difference method, and a fourth-order implicit finite-difference method have been tested using analytical phase and group velocity calculations, homogeneous velocity model calculations for disperson analysis ...
C. R. Daudt +3 more
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The Fourier method, the second-order finite-difference method, and a fourth-order implicit finite-difference method have been tested using analytical phase and group velocity calculations, homogeneous velocity model calculations for disperson analysis ...
C. R. Daudt +3 more
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1993
A survey of the basic features of the Fourier method for a grid represention of quantum mechanical wavefunctions is presented. The intention is to gain insight into the connection between the mathematical foundations and the physical applications.
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A survey of the basic features of the Fourier method for a grid represention of quantum mechanical wavefunctions is presented. The intention is to gain insight into the connection between the mathematical foundations and the physical applications.
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On the direct Fourier method for computer tomography
IEEE Transactions on Medical Imaging, 2000The paper considers the direct Fourier methods (DFM's) for reconstructing an image from its given X-ray projections. The main purpose here is to use concepts from numerical analysis to estimate the errors in the methods. We also suggest an alternative to the interpolations involved in the DFM's and estimate the number of terms involved.
David I. Gottlieb +2 more
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Computation of Invariant Tori by the Fourier Methods
SIAM Journal on Scientific Computing, 1997Summary: We study systems of functional equations (FEs) and first-order partial differential equations (PDEs) suggested in [\textit{L. Dieci, J. Lorenz} and \textit{R. D. Russell}, SIAM J. Sci. Stat. Comput. 12, 607-647 (1991; Zbl 0725.65074) and \textit{A. C. Morlet} and \textit{J. Lorenz}, SIAM J. Numer. Anal. 29, No.
Mingyou Huang +2 more
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A Block Fourier Decomposition Method
2002In this paper, we present a parallel block decomposition method for a special class of block tridiagonal matrices K ? Rpq × pq of the form K = block-tridiag [B,A,B] and its variants, where A and B, A,B, ? Rp×p, are general square matrices. Our decomposition method is closely related to the classical fast Poisson solver using Fourier analysis (simply ...
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The evaluation of fourier transforms by the sampling method
Automatica, 1968The sampling method is a well known method for evaluating Fourier transforms. Since the conditions imposed by the sampling theorem cannot, generally, be satisfied exactly when one is dealing with experimental responses and signals, a number of authors have used weighted sampling methods which reduce, more or less, the error due to frequency folding ...
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Evaluation of Fourier transforms by a Fourier synthesis method
Acta Crystallographica, 1948A convenient numerical method is developed for evaluating the Fourier transforms of arbitrary functions by the use of Beevers-Lipson strips. A detailed procedure is worked out for the determination of the radial distribution curve of an amorphous material from the X-ray diffraction intensity curve, but the method is generally applicable provided that ...
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