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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Physik & Astronomie Theoretische Physik An Introductory Guide to Computational Methods for the Solution of Physics Problems
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An Introductory Guide to Computational Methods for the Solution of Physics Problems
George Rawitscher, Victo dos Santos Filho, Thiago Carvalho Peixoto (Broschiert, Englisch)
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Beschreibung
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. 53,49 €
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Technische Daten
Erscheinungsdatum
25.10.2018
Sprache
Englisch
EAN
9783319427027
Herausgeber
Springer International Publishing
Sonderedition
Nein
Autor
George Rawitscher, Victo dos Santos Filho, Thiago Carvalho Peixoto
Seitenanzahl
221
Einbandart
Broschiert
Buch Untertitel
With Emphasis on Spectral Methods
Schlagwörter
Spectral Computational Methods, Finite-difference methods, Fourier spectral Differentiation Matrices, Quadratures, Numerical methods
Thema-Inhalt
PHU - Mathematische Physik
PNFS - Spektroskopie, Spektrochemie, Massenspektrometrie
TGM - Materialwissenschaft
PHFC - Physik der kondensierten Materie (Flüssigkeits- und Festkörperphysik)
PHN - Kernphysik
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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