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General Introduction

Brief Review of Concepts of Numerical Analysis

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Book cover Numerical Methods in Fluid Dynamics

Part of the book series: Springer Series in Computational Physics ((SCIENTCOMP))

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Abstract

At the present time the majority of unsolved problems in Fluid Dynamics are governed by non-linear partial differential equations and can only be treated by a numerical approach. As a consequence, specialists in Fluid Dynamics have recently devoted increasing attention to numerical, as opposed to analytical, techniques. Of course, there is no point in developing a novel numerical method unless it can be applied to actual problems of interest. In the early days of research on numerical analysis the capacity of computing machines was too restricted to permit many applications to be carried out. Today this situation has changed; the machines now available are sufficiently advanced to deal with an almost limitless range of problems; all that is needed is to discover effective numerical methods to attack them.

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References

  • Chorin, A.J.: Course Notes, Mathematics 228B: Numerical Analysis. Berkeley: University of California.

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  • Miller, K.: Course Notes, Mathematics 228B: Numerical Analysis. Berkeley: University of California.

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  • Richtmyer, R. D., Morton, K. W.: Difference Methods for Initial Value Problems, 2nd Ed. New York: Wiley 1967.

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© 1984 Springer-Verlag Berlin, Heidelberg

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Holt, M. (1984). General Introduction. In: Numerical Methods in Fluid Dynamics. Springer Series in Computational Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-69341-0_1

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  • DOI: https://doi.org/10.1007/978-3-642-69341-0_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12799-4

  • Online ISBN: 978-3-642-69341-0

  • eBook Packages: Springer Book Archive

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