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Titlebook: Computational Methods for Physicists; Compendium for Stude Simon Sirca,Martin Horvat Textbook 20121st edition Springer-Verlag GmbH Germany,

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书目名称Computational Methods for Physicists
副标题Compendium for Stude
编辑Simon Sirca,Martin Horvat
视频video
概述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 ma
丛书名称Graduate Texts in Physics
图书封面Titlebook: Computational Methods for Physicists; Compendium for Stude Simon Sirca,Martin Horvat Textbook 20121st edition Springer-Verlag GmbH Germany,
描述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..
出版日期Textbook 20121st edition
关键词Computational Algorithms; Computational Physics Textbook; Mathematical Methods in Physics; Numerical An
版次1
doihttps://doi.org/10.1007/978-3-642-32478-9
isbn_ebook978-3-642-32478-9Series ISSN 1868-4513 Series E-ISSN 1868-4521
issn_series 1868-4513
copyrightSpringer-Verlag GmbH Germany, part of Springer Nature 2012
The information of publication is updating

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Morelia Urlaub,Peter Talling,Antonis Zervos scalar equations are explained: bisection, Newton–Raphson with optional convergence improvements, the secant and Müller’s method. Vector non-linear equations are treated by Newton–Raphson and Broyden’s method, illustrated by a robot engineering example. Solving polynomial equations of a single vari
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https://doi.org/10.1007/978-3-319-00972-8cial tools. Yet even the most basic operations like the multiplication of two matrices or computing a determinant can be excessively time-consuming and inaccurate if performed recklessly. This chapter elucidates the crucial aspects of matrix manipulation and standard algorithms for the classes of ma
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https://doi.org/10.1007/978-3-319-20979-1erties and features, and later compared to theoretical or phenomenological models. This chapter starts with an introduction to the basic statistical techniques of computing the averages and moments of distributions and their uncertainties. Particular emphasis is given on ways of identifying outliers
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https://doi.org/10.1007/BFb0117872ystems of such problems. The concepts of consistency, stability and convergence are introduced, as well as methods to increase the local solution precision by extrapolation. Shooting methods are offered as a clear alternative to difference methods in the case of non-linear equations and their system
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Lecture Notes in Earth Sciencesation in two dimensions by explicit and implicit difference schemes, allowing us to introduce the corresponding stability criteria. The treatment of alternating direction implicit (ADI) schemes is supplemented by the extension to three space dimensions. Several schemes for solutions of hyperbolic eq
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