An Introductory Guide to Computational Methods for the Solution of Physics Problems is popular PDF and ePub book, written by George Rawitscher in 2018, it is a fantastic choice for those who relish reading online the Mathematical physics genre. Let's immerse ourselves in this engaging Mathematical physics book by exploring the summary and details provided below. Remember, An Introductory Guide to Computational Methods for the Solution of Physics Problems can be Read Online from any device for your convenience.
An Introductory Guide to Computational Methods for the Solution of Physics Problems Book PDF Summary
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 any such 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 solution of 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.
Detail Book of An Introductory Guide to Computational Methods for the Solution of Physics Problems PDF
- Author : George Rawitscher
- Release : 01 October 2024
- Publisher : Unknown
- ISBN : 3319427040
- Genre : Mathematical physics
- Total Page : 221 pages
- Language : English
- PDF File Size : 11,7 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book An Introductory Guide to Computational Methods for the Solution of Physics Problems by George Rawitscher, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.