Simon ?irca; Martin Horvat Computational Methods in Physics 9783030087463

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Автор: Simon ?irca; Martin Horvat
Название: Computational Methods in Physics
ISBN: 9783030087463
Издательство: Springer
Классификация:

Математика для учёных

Математическая физика

Физическая химия

Квантовая и теоретическая химия

Гидрология и гидросфера

Математика для инженеров

ISBN-10: 3030087468
Обложка/Формат: Soft cover
Страницы: 880
Вес: 1.36 кг.
Дата издания: 2018
Серия: Graduate Texts in Physics
Язык: English
Издание: Softcover reprint of
Иллюстрации: 100 tables, color; 20 illustrations, color; 248 illustrations, black and white; xxiv, 880 p. 268 illus., 20 illus. in color.
Размер: 234 x 156 x 46
Читательская аудитория: General (us: trade)
Ключевые слова: Numerical and Computational Physics, Simulation
Основная тема: Physics
Подзаголовок: Compendium for Students
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book is intended to help advanced undergraduate, graduate, and postdoctoral students in their daily work by o?ering them a compendium of numerical methods. The choice of methods pays signi?cant attention to error estimates, stability and convergence issues, as well as optimization of program execution speeds. Numerous examples are given throughout the chapters, followed by comprehensive end-of-chapter problems with a more pronounced physics background, while less stress is given to the explanation of individual algorithms. The readers are encouraged to develop a certain amount of skepticism and scrutiny instead of blindly following readily available commercial tools. The second edition has been enriched by a chapter on inverse problems dealing with the solution of integral equations, inverse Sturm-Liouville problems, as well as retrospective and recovery problems for partial di?erential equations. The revised text now includes an introduction to sparse matrix methods, the solution of matrix equations, and pseudospectra of matrices; it discusses the sparse Fourier, non-uniform Fourier and discrete wavelet transformations, the basics of non-linear regression and the Kolmogorov-Smirnov test; it demonstrates the key concepts in solving sti? di?erential equations and the asymptotics of Sturm-Liouville eigenvalues and eigenfunctions. Among other updates, it also presents the techniques of state-space reconstruction, methods to calculate the matrix exponential, generate random permutations and compute stable derivatives.
Дополнительное описание: Basics of numerical analysis.- Solution of nonlinear equations.- Matrix methods.- Transformations of functions and signals.- Statistical description and modeling of data.- Modeling and analysis of time series.- Initial-value problems for ordinary differen

Computational Methods in Physics, Simon ?irca; Martin Horvat