ISBN: 9783319427027 - an introductory guide to computational methods for the solution of physics problems: with emphasis on spectral methods (19 risultati)

Paperback. Condizione: new. Paperback. This monograph presents fundamental aspects of modern spectral and other computational methods, which are not generally taught in traditional courses. It emphasizes concepts as errors, convergence, stability, order and efficiency applied to the solution of physical problems. The spectral methods consist in expanding the function to be calculated into a set of appropriate basis functions (generally orthogonal polynomials) and the respective expansion coefficients are obtained via collocation equations. The main advantage of these methods is that they simultaneously take into account all available information, rather only the information available at a limited number of mesh points. They require more complicated matrix equations than those obtained in finite difference methods. However, the elegance, speed, and accuracy of the spectral methods more than compensates for anysuch drawbacks. During the course of the monograph, the authors examine the usually rapid convergence of the spectral expansions and the improved accuracy that results when nonequispaced support points are used, in contrast to the equispaced points used in finite difference methods. In particular, they demonstrate the enhanced accuracy obtained in the solutionof integral equations.The monograph includes an informative introduction to old and new computational methods with numerous practical examples, while at the same time pointing out the errors that each of the available algorithms introduces into the specific solution. It is a valuable resource for undergraduate students as an introduction to the field and for graduate students wishing to compare the available computational methods. In addition, the work develops the criteria required for students to select the most suitable method to solve the particular scientific problem that they are confronting. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…

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Condizione: New. 1st ed. 2018 edition NO-PA16APR2015-KAP.

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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - This monograph presents fundamental aspects of modern spectral and other computational methods, which are not generallytaught in traditional courses. It emphasizes concepts as errors, convergence, stability, order and efficiency applied tothe solution of physical problems. The spectral methods consist in expanding the function to be calculated into a set ofappropriate basis functions (generally orthogonal polynomials) and the respective expansion coefficients are obtained viacollocation equations. The main advantage of these methods is that they simultaneously take into account all availableinformation, rather only the information available at a limited number of mesh points. They require more complicatedmatrix equations than those obtained in finite difference methods. However, the elegance, speed, and accuracy of thespectral methods more than compensates for anysuch drawbacks.During the course of the monograph, the authors examine the usually rapid convergence of the spectral expansions andthe improved accuracy that results when nonequispaced support points are used, in contrast to the equispaced pointsused in finite difference methods. In particular, they demonstrate the enhanced accuracy obtained in the solutionof integral equations.The monograph includes an informative introduction to old and new computational methods with numerous practical examples,while at the same time pointing out the errors that each of the available algorithms introduces into the specificsolution. It is a valuable resource for undergraduate students as an introduction to the field and for graduate studentswishing to compare the available computational methods. In addition, the work develops the criteria required forstudents to select the most suitable method to solve the particular scientific problem that they are confronting.…

Paperback. Condizione: new. Paperback. This monograph presents fundamental aspects of modern spectral and other computational methods, which are not generally taught in traditional courses. It emphasizes concepts as errors, convergence, stability, order and efficiency applied to the solution of physical problems. The spectral methods consist in expanding the function to be calculated into a set of appropriate basis functions (generally orthogonal polynomials) and the respective expansion coefficients are obtained via collocation equations. The main advantage of these methods is that they simultaneously take into account all available information, rather only the information available at a limited number of mesh points. They require more complicated matrix equations than those obtained in finite difference methods. However, the elegance, speed, and accuracy of the spectral methods more than compensates for anysuch drawbacks. During the course of the monograph, the authors examine the usually rapid convergence of the spectral expansions and the improved accuracy that results when nonequispaced support points are used, in contrast to the equispaced points used in finite difference methods. In particular, they demonstrate the enhanced accuracy obtained in the solutionof integral equations.The monograph includes an informative introduction to old and new computational methods with numerous practical examples, while at the same time pointing out the errors that each of the available algorithms introduces into the specific solution. It is a valuable resource for undergraduate students as an introduction to the field and for graduate students wishing to compare the available computational methods. In addition, the work develops the criteria required for students to select the most suitable method to solve the particular scientific problem that they are confronting. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…

Taschenbuch. Condizione: Neu. An Introductory Guide to Computational Methods for the Solution of Physics Problems | With Emphasis on Spectral Methods | George Rawitscher (u. a.) | Taschenbuch | xviii | Englisch | 2018 | Springer | EAN 9783319427027 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.…

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Paperback. Condizione: Brand New. 221 pages. 9.00x6.00x0.50 inches. In Stock. This item is printed on demand.

Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This monograph presents fundamental aspects of modern spectral and other computational methods, which are not generallytaught in traditional courses. It emphasizes concepts as errors, convergence, stability, order and efficiency applied tothe solution of physical problems. The spectral methods consist in expanding the function to be calculated into a set ofappropriate basis functions (generally orthogonal polynomials) and the respective expansion coefficients are obtained viacollocation equations. The main advantage of these methods is that they simultaneously take into account all availableinformation, rather only the information available at a limited number of mesh points. They require more complicatedmatrix equations than those obtained in finite difference methods. However, the elegance, speed, and accuracy of thespectral methods more than compensates for any such drawbacks.During the course of the monograph, the authors examine the usually rapid convergence of the spectral expansions andthe improved accuracy that results when nonequispaced support points are used, in contrast to the equispaced pointsused in finite difference methods. In particular, they demonstrate the enhanced accuracy obtained in the solutionof integral equations.The monograph includes an informative introduction to old and new computational methods with numerous practical examples,while at the same time pointing out the errors that each of the available algorithms introduces into the specificsolution. It is a valuable resource for undergraduate students as an introduction to the field and for graduate studentswishing to compare the available computational methods. In addition, the work develops the criteria required forstudents to select the most suitable method to solve the particular scientific problem that they are confronting. 240 pp. Englisch. …

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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Emphasizes some advantages of spectral methodsIncludes a comparison with finite element and finite difference methodsIncludes programs in MATLAB to implement the algorithmsBorn in Germany in 1928, George Rawitscher moved with.…

Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This monograph presents fundamental aspects of modern spectral and other computational methods, which are not generallySpringer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 240 pp. Englisch.