Spectral Method Applied Mathematics (4 results)

Taschenbuch. Condition: 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.…

Taschenbuch. Condition: Neu. Spectral method | Applied Mathematics, Computational Science, Partial Differential Equation, Fast Fourier Transform, Ordinary Differential Equation, Chebyshev Polynomials, Finite Element Method | Lambert M. Surhone (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786130347772 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand.…

Taschenbuch. Condition: 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.…

Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! Spectral methods are a class of techniques used in applied mathematics and scientific computing to numerically solve certain partial differential equations (PDEs), often involving the use of the Fast Fourier Transform. Where applicable, spectral methods have excellent error properties, with the so called 'exponential convergence' being the fastest possible. PDEs describe a wide array of physical processes such as heat conduction, fluid flow, and sound propagation. In many such equations, there are underlying 'basic waves' that can be used to give efficient algorithms for computing solutions to these PDEs. In a typical case, spectral methods take advantage of this fact by writing the solution as its Fourier series, substituting this series into the PDE to get a system of ordinary differential equations (ODEs) in the time-dependent coefficients of the trigonometric terms in the series (written in complex exponential form), and using a time-stepping method to solve those ODEs. …