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General Introduction

Brief Review of Concepts of Numerical Analysis
  • Maurice Holt
Part of the Springer Series in Computational Physics book series (SCIENTCOMP)

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.

Keywords

Finite Difference Finite Difference Method Finite Difference Scheme Heat Conduction Equation Fourier Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Chorin, A.J.: Course Notes, Mathematics 228 B: Numerical Analysis. Berkeley: University of California.Google Scholar
  2. Miller, K.: Course Notes, Mathematics 228 B: Numerical Analysis. Berkeley: University of California.Google Scholar
  3. Richtmyer, R. D., Morton, K. W.: Difference Methods for Initial Value Problems, 2nd Ed. New York: Wiley 1967.MATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1977

Authors and Affiliations

  • Maurice Holt
    • 1
  1. 1.College of Engineering, Mechanical EngineeringUniversity of CaliforniaBerkelyUSA

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