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  3. A Student's Guide to Numerical Methods
  • Cited by 4
Publisher:
Cambridge University Press
Online publication date:
May 2015
Print publication year:
2015
Online ISBN:
9781316155516
DOI:
https://doi.org/10.1017/CBO9781316155516
Series:
Student's Guides
Subjects:
Physics and Astronomy, Mathematical Methods, General and Classical Physics, Engineering: General Interest
Information

Book description

This concise, plain-language guide for senior undergraduates and graduate students aims to develop intuition, practical skills and an understanding of the framework of numerical methods for the physical sciences and engineering. It provides accessible self-contained explanations of mathematical principles, avoiding intimidating formal proofs. Worked examples and targeted exercises enable the student to master the realities of using numerical techniques for common needs such as solution of ordinary and partial differential equations, fitting experimental data, and simulation using particle and Monte Carlo methods. Topics are carefully selected and structured to build understanding, and illustrate key principles such as: accuracy, stability, order of convergence, iterative refinement, and computational effort estimation. Enrichment sections and in-depth footnotes form a springboard to more advanced material and provide additional background. Whether used for self-study, or as the basis of an accelerated introductory class, this compact textbook provides a thorough grounding in computational physics and engineering.

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Contents

Contents
References
References
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G., Strang and G. J., Fix (1973, 2008), An Analysis of the Finite Element Method, Reissued by Wellesley-Cambridge Press, Wellesley, MA.

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