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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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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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The Fourier Method of Crystal Structure Analysis
Nature, 1948Alternative methods which could be used to derive accurate atomic co-ordinates from the data provided by an X-ray investigation of a crystal structure are discussed. It is shown that the customary Fourier series method is closely related to the least-squares method applied to this problem by Hughes.
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Fourier Methods in Probability
1983There is probably no aspect of probability theory that is easier to learn than its Fourier aspect. All of the linear theory [4.1] involving convolutions, Dirac delta functions, transfer theorems, and even sampling theorems has its counterparts in probability theory.
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Measurement: Journal of the International Measurement Confederation, 2021
Jinde Zheng, Haiyang Pan
exaly
Jinde Zheng, Haiyang Pan
exaly

