Numerische Mathematik

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

Numerical solution of Volterra integral equation

  • J. Steinberg


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.


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


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  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

Personalised recommendations