Skip to main content
Log in

Iterated deferred corrections for nonlinear operator equations

  • Published:
Numerische Mathematik Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. [1]Aleksandrov, P. S.: Combinatorial topology, vol. I. Rochester, N.Y.: Graylock Press 1956.

    Google Scholar 

  2. Aubin, J. P.: Approximations des espaces de distributions et des opérateurs différentiels. Thesis, U. de Paris, France 1965.

    Google Scholar 

  3. Browder, F.: Approximation-solvability of nonlinear functional equations in normed linear spaces. To appear in Arch. Rational Mech. Anal.

  4. Pereyra, V.: On improving an approximate solution of a functional equation by deferred corrections. Numer. Math.8, 376–391 (1966).

    Article  Google Scholar 

  5. —: Highly accurate discrete methods for nonlinear problems. Ph. D. Thesis, U. of Wisconsin, Madison 1967.

    Google Scholar 

  6. — Iterated deferred corrections for nonlinear boundary value problems. To appear.

  7. Petryshyn, W.: On the approximation solvability of nonlinear equations. To appear in Math. Ann.

  8. Stetter, H.: Asymptotic expansions for the error of discretization algorithms for nonlinear functional equations. Numer. Math.7, 18–31 (1965).

    Article  Google Scholar 

  9. —: Stability of nonlinear discretization algorithms. Numerical solution of partial differential equations, p. 111–123. New York: Academic Press 1966.

    Google Scholar 

  10. Zarantonello, E.: The closure of the numerical range contains the spectrum. Announced in Bull. Amer. Math. Soc.70, No. 6, 781–787 (1964). Also to appear in Pacific J. Math.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Sponsored by the Mathematics Research Center, United States Army, Madison, Wisconsin, under Contract No.: DA-3 1-124-ARO-D-462.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pereyra, V. Iterated deferred corrections for nonlinear operator equations. Numer. Math. 10, 316–323 (1967). https://doi.org/10.1007/BF02162030

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02162030

Keywords

Navigation