An Introductory Guide to Computational Methods for the Solution of Physics Problems (Paperback)

Lingua: inglese

Editore: Springer International Publishing AG, Cham, 2018

3319427024 / 9783319427027

Serie: Libro 176 di 241 - Lecture Notes in Physics

Da: Grand Eagle Retail, Bensenville, IL, U.S.A.Grand Eagle Retail

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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.

Codice articolo 9783319427027

Titolo
An Introductory Guide to Computational Methods for the Solution of Physics Problems (Paperback)
Autore
George Rawitscher
Editore
Springer International Publishing AG, Cham
Anno di pubblicazione
2018
Condizione
new
Rilegatura
Paperback
Lingua
inglese
ISBN 10
3319427024
ISBN 13
9783319427027
Serie
Libro 176 di 241: Lecture Notes in Physics

Grand Eagle Retail

Bensenville, IL, U.S.A.

Venditore con 5 stelle

Venditore AbeBooks dal 12 ottobre 2005

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