Skip to main content

Numerical approximations for volterra integral equations

Part of the Lecture Notes in Mathematics book series (LNM,volume 737)

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. V. Barbu, Nonlinear Volterra equations in a Hilbert space, SIAM Journ. Math Anal. 6 (1975), 728–741.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. M. G. Crandell, S.-O. Londen and J. A. Nohel, An abstract nonlinear Volterra integro-differential equation, Journ. Math. Anal. and Appl. (to appear).

    Google Scholar 

  3. J. Douglas and T. Dupont, Galerkin methods for parabolic equations, SIAM Journ. Num. Anal. 7 (1970), 575–626.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. J. Levin. On a nonlinear Volterra equation, Journ. Math. Anal. and Appl. 39 (1972), 458–476.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. J. L. Lions, Quelques Methodes de Résolution des Problemes aux Limites Non Linéaires, Gauthier-Villars, Paris, 1969.

    MATH  Google Scholar 

  6. R. C. MacCamy, Remarks on frequency domain methods for Volterra integral equations, Journ. Math. Anal. Appl. 55 (1976), 555–575.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. R. C. MacCamy, An integro-differential equation with applications in heat flow, Quart. Appl. Math. 35 (1977), 1–19.

    MathSciNet  MATH  Google Scholar 

  8. R. C. MacCamy and Philip Weiss, Numerical solutions of Volterra integral equations, to appear.

    Google Scholar 

  9. B. Neta, Finite element approximation of a nonlinear diffusion problem, Thesis, Department of Mathematics, Carnegie-Mellon University (1977).

    Google Scholar 

  10. G. Strang and G. J. Fix, An Analysis of the Finite Element Method, Prentice-Hall (1971).

    Google Scholar 

  11. Philip Weiss, Numerical solutions of Volterra integral equations, Thesis, Department of Mathematics, Carnegie-Mellon University (1978).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1979 Springer-Verlag

About this paper

Cite this paper

MacCamy, R.C., Weiss, P. (1979). Numerical approximations for volterra integral equations. In: Londen, SO., Staffans, O.J. (eds) Volterra Equations. Lecture Notes in Mathematics, vol 737. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064506

Download citation

  • DOI: https://doi.org/10.1007/BFb0064506

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09534-7

  • Online ISBN: 978-3-540-35035-4

  • eBook Packages: Springer Book Archive