Spectral method: Applied Mathematics, Computational Science, Partial Differential Equation, Fast Fourier Transform, Ordinary Differential Equation, Chebyshev Polynomials, Finite Element Method - Softcover
Synopsis
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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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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Spectral method
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 104 pp. Englisch. Seller Inventory # 9786130347772
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Spectral method : Applied Mathematics, Computational Science, Partial Differential Equation, Fast Fourier Transform, Ordinary Differential Equation, Chebyshev Polynomials, Finite Element Method
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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. Seller Inventory # 9786130347772
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Spectral method | Applied Mathematics, Computational Science, Partial Differential Equation, Fast Fourier Transform, Ordinary Differential Equation, Chebyshev Polynomials, Finite Element Method
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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. Seller Inventory # 113214385
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Spectral method
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Taschenbuch. Condition: 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. Spectral methodsare a class of techniques used in applied mathematics and scientificcomputing to numerically solve certain partial differential equations(PDEs), often involving the use of the Fast Fourier Transform. Whereapplicable, spectral methods have excellent error properties, with theso called 'exponential convergence' being the fastest possible. PDEsdescribe a wide array of physical processes such as heat conductionfluid flow, and sound propagation. In many such equations, there areunderlying 'basic waves' that can be used to give efficient algorithmsfor computing solutions to these PDEs. In a typical case, spectralmethods take advantage of this fact by writing the solution as itsFourier series, substituting this series into the PDE to get a system ofordinary differential equations (ODEs) in the time-dependentcoefficients of the trigonometric terms in the series (written incomplex exponential form), and using a time-stepping method to solvethose ODEs.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 104 pp. Englisch. Seller Inventory # 9786130347772