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A Student's Guide to Numerical Methods

$31.99 (P)

Part of Student's Guides

  • Date Published: June 2015
  • availability: In stock
  • format: Paperback
  • isbn: 9781107479500

$ 31.99 (P)

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About the Authors
  • 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.

    • Uses plain language and a conversational style to explain the foundations of numerical techniques
    • Includes numerous worked examples and targeted exercises to help students put theories into practice
    • Focuses on the heart of physical modelling - the solution of partial differential equations
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    Product details

    • Date Published: June 2015
    • format: Paperback
    • isbn: 9781107479500
    • length: 216 pages
    • dimensions: 228 x 153 x 11 mm
    • weight: 0.36kg
    • contains: 73 b/w illus.
    • availability: In stock
  • Table of Contents

    1. Fitting functions to data
    2. Ordinary differential equations
    3. Two-point boundary conditions
    4. Partial differential equations
    5. Diffusion: parabolic PDEs
    6. Elliptic problems and iterative matrix solution
    7. Fluid dynamics and hyperbolic equations
    8. Boltzmann's equation and its solution
    9. Energy-resolved diffusive transport
    10. Atomistic and particle-in-cell simulation
    11. Monte Carlo techniques
    12. Monte Carlo radiation transport
    13. Next steps
    Appendix A. Summary of matrix algebra

  • Author

    Ian H. Hutchinson, Massachusetts Institute of Technology
    Ian H. Hutchinson is a plasma physicist and Professor in the School of Engineering at the Massachusetts Institute of Technology where he has been solving physical problems using computers for forty years. A fellow of the American Physical Society and the Institute of Physics, he has won several awards for excellence in teaching at MIT, and is the author of the definitive textbook on making measurements of plasmas, Principles of Plasma Diagnostics (Cambridge University Press, 2002).

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