Spectral method: Applied Mathematics, Computational Science, Partial Differential Equation, Fast Fourier Transform, Ordinary Differential Equation, Chebyshev Polynomials, Finite Element Method - Softcover

 
9786130347772: Spectral method: Applied Mathematics, Computational Science, Partial Differential Equation, Fast Fourier Transform, Ordinary Differential Equation, Chebyshev Polynomials, Finite Element Method
Softcover
ISBN 10: 6130347774 ISBN 13: 9786130347772
Verlag: Betascript Publishers, 2010

Inhaltsangabe

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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."

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Reseña del editor

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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."

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Verlag
Betascript Publishers
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
6130347774
ISBN 13 
9786130347772
Einband
Tapa blanda
Anzahl der Seiten
104
Herausgeber
Surhone Lambert M., Tennoe Mariam T., Henssonow Susan F.
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar