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Pseudo-Spectral Method: Numerical Analysis, Applied Mathematics, Computational Science, Wave Function - Brossura
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pseudo-spectral methods are a class of numerical methods used in applied mathematics and scientific computing for the solution of PDEs, such as the direct simulation of a particle with an arbitrary wavefunction interacting with an arbitrary potential. They are related to spectral methods and are used extensively in computational fluid dynamics and other areas, but are demonstrated below on an example from quantum physics. If the wavefunction is approximated by its value at n distinct points, each iteration requires 3 pointwise multiplications, one FFT, and one inverse FFT. The pointwise multiplications each require O(n) effort, and the FFT and inverse FFT each require O(nlgn) effort. The total computational effort is therefore determined largely by the FFT steps, so it is imperative to use an efficient (and accurate) implementation of the FFT. Fortunately, many are freely available.
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Pseudo-Spectral Method
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Pseudo-Spectral Method | Numerical Analysis, Applied Mathematics, Computational Science, Wave Function
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Taschenbuch. Condizione: Neu. Pseudo-Spectral Method | Numerical Analysis, Applied Mathematics, Computational Science, Wave Function | Lambert M. Surhone (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786134711791 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand. Codice articolo 135065949
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. Pseudo-spectralmethods are a class of numerical methods used in applied mathematics andscientific computing for the solution of PDEs, such as the directsimulation of a particle with an arbitrary wavefunction interacting withan arbitrary potential. They are related to spectral methods and areused extensively in computational fluid dynamics and other areas, butare demonstrated below on an example from quantum physics. If thewavefunction is approximated by its value at n distinct points, eachiteration requires 3 pointwise multiplications, one FFT, and one inverseFFT. The pointwise multiplications each require O(n) effort, and the FFTand inverse FFT each require O(nlgn) effort. The total computationaleffort is therefore determined largely by the FFT steps, so it isimperative to use an efficient (and accurate) implementation of the FFT.Fortunately, many are freely available.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 104 pp. Englisch. Codice articolo 9786134711791
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Pseudo-Spectral Method : Numerical Analysis, Applied Mathematics, Computational Science, Wave Function
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Taschenbuch. Condizione: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. Pseudo-spectralmethods are a class of numerical methods used in applied mathematics andscientific computing for the solution of PDEs, such as the directsimulation of a particle with an arbitrary wavefunction interacting withan arbitrary potential. They are related to spectral methods and areused extensively in computational fluid dynamics and other areas, butare demonstrated below on an example from quantum physics. If thewavefunction is approximated by its value at n distinct points, eachiteration requires 3 pointwise multiplications, one FFT, and one inverseFFT. The pointwise multiplications each require O(n) effort, and the FFTand inverse FFT each require O(nlgn) effort. The total computationaleffort is therefore determined largely by the FFT steps, so it isimperative to use an efficient (and accurate) implementation of the FFT.Fortunately, many are freely available. Codice articolo 9786134711791
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