Computational Methods for Physicists
Compendium for Students
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Beschreibung
This book helps advanced undergraduate, graduate and postdoctoral students in their daily work by offering them a compendium of numerical methods. The choice of methods pays significant attention to error estimates, stability and convergence issues as well as to the ways to optimize program execution speeds. Many examples are given throughout the chapters, and each chapter is followed by at least a handful of more comprehensive problems which may be dealt with, for example, on a weekly basis in a one- or two-semester course. In these end-of-chapter problems the physics background is pronounced, and the main text preceding them is intended as an introduction or as a later reference. Less stress is given to the explanation of individual algorithms. It is tried to induce in the reader an own independent thinking and a certain amount of scepticism and scrutiny instead of blindly following readily available commercial tools.
This text, the ideal student companion to the topic, explains all the core numerical techniques a physicist should know, as well as how to control errors, retain stability, and merge computations. It includes appendices full of additional detail and advice.
This book helps advanced undergraduate, graduate and postdoctoral students in their daily work by offering them a compendium of numerical methods. The choice of methods pays significant attention to error estimates, stability and convergence issues as well as to the ways to optimize program execution speeds.
Many examples are given throughout the chapters, and each chapter is followed by at least a handful of more comprehensive problems which may be dealt with, for example, on a weekly basis in a one- or two-semester course. In these end-of-chapter problems the physics background is pronounced, and the main text preceding them is intended as an introduction or as a later reference. Less stress is given to the explanation of individual algorithms. It is tried to induce in the reader an own independent thinking and a certain amount of scepticism and scrutiny instead of blindly following readily available commercial tools.
Explains the core numerical methods and techniques a physicist should know or be aware of
Shows how to control errors, stability, and convergence of computations
Supports learning and teaching with many comprehensive physics- and engineering-motivated examples, problems and solutions at the ends of chapters
Contains numerous appendices with additional topics and hints on how to increase programming efficiency
Helps to optimize program execution speeds
Gives a wide perspective on the subject and contains a great deal of material for computing in physics
Autor*in
Simon Sirca
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From the reviews:
“This is a well designed textbook that offers a generous compendium of numerical analysis, at a medium level of training in mathematics. The exposition style is attractive, and theoretical aspects are illustrated by relevant examples. … The book is recommended to students and researchers whose interests go beyond ‘successful recipes’, towards consistent insights into the mathematical support. Educators may also find interesting applications and case studies for lectures or laboratory sessions.” (Octavian Pastravanu, zbMATH, Vol. 1284, 2014)
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