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  3. A Student's Guide to Numerical Methods
  • Cited by 5
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    • Publisher:
      Cambridge University Press
      Publication date:
      May 2015
      April 2015
      ISBN:
      9781316155516
      9781107095670
      9781107479500
      DOI:
      https://doi.org/10.1017/CBO9781316155516
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.48kg, 221 Pages
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.36kg, 216 Pages
      • Series:
      Student's Guides
      Subjects:
      Physics and Astronomy, Mathematical Methods, General and Classical Physics, Engineering: General Interest
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    • Selected: Digital
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    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
    B. J., Alder and T. E., Wainwright (1957), Phase transition for a hard sphere system, J. Chem. Phys. 27, 1208–1209.
    R., Barrett, M., Berry, T. F., Chan, et al. (1994), Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods, second edition, SIAM, Philadelphia, which is available at http://www.netlib.org/linalg/htmLtemplates/report.html.
    C. K., Birdsall and A. B., Langdon (1991), Plasma Physics via Computer Simulation, IOP Publishing, Bristol.
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    S. C., Chapra and R. P., Canale (2006), Numerical Methods for Engineers, fifth edition, or later, McGraw-Hill, New York.
    J. H., Ferziger and M., Peric (2002), Computational Methods for Fluid Dynamics, third edition, Springer, Berlin.
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    R. W., Hockney and J. W., Eastwood (1988), Computer Simulation using Particles, Taylor and Francis, New York.
    T. J. R., Hughes (1987), The Finite Element Method, Prentice Hall, Englewood Cliffs, NJ.
    C. P., Jackson and P. C., Robinson (1985), A numerical study of various algorithms related to the preconditioned conjugate gradient method, International Journal for Numerical Methods in Engineering 21, 1315–1338.
    F., James (1994), Computer Physics Communications 79, 111.
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    B. E., Launder, G. J., Reece, and W., Rodi (1975), Progress in development of a Reynolds-stress turbulence closure, Journal of Fluid Mechanics 68, 537–566.
    R. J., Leveque (2002), Finite Volume Methods for Hyperbolic Problems, Cambridge University Press, Cambridge.
    M., Luscher (1994), Computer Physics Communications 79, 100.
    G., Markham (1990), Conjugate gradient type methods for indefinite, asymmetric, and complex systemsIMA Journal of Numerical Analysis 10, 155–170.
    U., Piomelli (1999), Large-eddy simulation: achievements and challenges, Progress in Aerospace Sciences 35, 335–362.
    W. H., Press, B. P., Flannery, S. A., Teukolsky, and W. T., Vettering (1989), Numerical Recipes, Cambridge University Press, Cambridge.
    G. D., Smith (1985), Numerical Solution of Partial Differential Equations, Oxford University Press, Oxford, p. 275ff.
    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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