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Background Information

  • Chapter
Numerical Quadrature and Solution of Ordinary Differential Equations

Part of the book series: Applied Mathematical Sciences ((AMS,volume 10))

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Abstract

There are three sources of inaccuracy in a numerical calculation:

  1. (i)

    mistakes, or blunders

  2. (ii)

    the error inherent in the method

  3. (iii)

    round-off error

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References for Chapter 1

  1. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series, v. 55, 1964.

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  2. A. D. Aleksandrov, A. N. Kolmogorov and M. A. Lavrent’ev (editors), Mathematics: Its Content, Methods and Meaning, The M.I.T. Press, 1963.

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  3. L. Bers, Calculus, Holt, Rinehart and Winston, 1969.

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  4. P. J. Davis, Interpolation and Approximation, Blaisdell, 1963.

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  5. D. K. Faddeev and V. N. Faddeeva, Computational Methods of Linear Algebra, Freeman, 1963.

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  6. G. E. Forsythe, Pitfalls in computation, or why a math book isn’t enough, Amer. Math. Monthly, v. 77. 1970, pp. 931–955.

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  7. G. E. Forsythe and C. B. Moler, Computer Solution of Linear Algebraic Systems, Prentice-Hall, 1967.

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  8. P. Henrici, Elements of Numerical Analysis, Wiley, 1964.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Texas A & M University, USA

    A. H. Stroud

Authors
  1. A. H. Stroud
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© 1974 Springer-Verlag New York Inc.

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Stroud, A.H. (1974). Background Information. In: Numerical Quadrature and Solution of Ordinary Differential Equations. Applied Mathematical Sciences, vol 10. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-6390-6_1

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  • DOI: https://doi.org/10.1007/978-1-4612-6390-6_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-90100-8

  • Online ISBN: 978-1-4612-6390-6

  • eBook Packages: Springer Book Archive

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