Introductory guide computational methods von rawitscher george (3 Ergebnisse)
An Introductory Guide to Computational Methods for the Solution of Physics Problems: With Emphasis on Spectral Methods (Lecture Notes in Physics)
Rawitscher, George; Dos Santos Filho, Victo; Peixoto, Thiago Carvalho
Sprache: Englisch
Verlag: Springer 2018
Serie: Lecture Notes in Physics, Buch 176 von 241. Buch 176 von 241 - Lecture Notes in Physics
- Softcover
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An Introductory Guide to Computational Methods for the Solution of Physics Problems: With Emphasis on Spectral Methods
Rawitscher, George/ Filho, Victo Dos Santos/ Peixoto, Thiago C./ Tomio, Lauro
Sprache: Englisch
Verlag: Springer Verlag 2018
Serie: Lecture Notes in Physics, Buch 176 von 241. Buch 176 von 241 - Lecture Notes in Physics
- Softcover
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Paperback. Zustand: Brand New. 221 pages. 9.00x6.00x0.50 inches. In Stock.
Sprache: Englisch
Verlag: Springer International Publishing, Springer International Publishing 2018
Serie: Lecture Notes in Physics, Buch 176 von 241. Buch 176 von 241 - Lecture Notes in Physics
- Softcover
Anbieter: AHA-BUCH GmbH, Einbeck, DeutschlandAHA-BUCH GmbH
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Taschenbuch. Zustand: 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 solutio…n 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.
