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Numerische Mathematik

, Volume 19, Issue 3, pp 212–217 | Cite as

Numerical solution of Volterra integral equation

  • J. Steinberg
Article

Summary

This paper discusses the use of Gregory's formula for numerical integration of Volterra linear integral equations of the second type. The order of magnitude of the truncation error and the asymptotic behavior of this error are obtained by means of recursive inequalities.

Keywords

Integral Equation Asymptotic Behavior Mathematical Method Truncation Error Volterra Integral Equation 
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References

  1. 1.
    Fox, L., Goodwin, E.: The numerical solution of non-singular linear integral equations. Phil. Trans. Roy. Soc. London, Series A,245, 501–534 (1952).Google Scholar
  2. 2.
    Hildebrand, F. B.: Introduction to numerical analysis. McGraw-Hill 1956.Google Scholar
  3. 3.
    Krylov, V. I.: The approximate calculation of definite integrals. Macmillan 1962.Google Scholar

Copyright information

© Springer-Verlag 1972

Authors and Affiliations

  • J. Steinberg
    • 1
  1. 1.Department of MathematicsIsrael Institute of Technology TechnionHaifaIsrael

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