Title An Introductory Guide to Computational Methods for the Solution of Physics Problems : With Emphasis on Spectral Methods Author(s) Rawitscher, George;dos Santos Filho, Victo;Peixoto, Thiago Carvalho Publication Cham, Springer International Publishing, 2018. Description XVIII, 221 p. 109 illus., 108 illus. in color : online resource Abstract Note 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 ISBN,Price 9783319427034 Keyword(s) 1. Atomic structure???? 2. Atomic/Molecular Structure and Spectra 3. EBOOK 4. EBOOK - SPRINGER 5. MICROSCOPY 6. Molecular structure?? 7. Numerical and Computational Physics, Simulation 8. PHYSICS 9. SPECTROSCOPY 10. Spectroscopy and Microscopy 11. Strongly Correlated Systems, Superconductivity 12. SUPERCONDUCTIVITY 13. SUPERCONDUCTORS Item Type eBook Multi-Media Links Please Click here for eBook Circulation Data Accession#   Call# Status Issued To Return Due On Physical Location I08872     On Shelf