Skip to main content
Log in

An 0 (h 2) method for a non-smooth boundary value problem

  • Research Papers
  • Published:
aequationes mathematicae 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. Ciarlet, P.G.,Variational Methods for Nonlinear Boundary Value Problems, Doctoral Thesis (Case Institute of Technology, 1966).

  2. Ciarlet, P.G., Schultz, M.H., andVarga, R.S.,Numerical Methods of High-Order Accuracy for Nonlinear Boundary Value Problems, I:One Dimensional Problems, Numer. Math.9, 394–430 (1967).

    Google Scholar 

  3. Gerschgorin, S.,Fehlerabschätzung für das Differenzenverfahren zur Lösung partieller Differentialgleichungen, Z. Angew. Math. Mech.10, 373–382 (1930).

    Google Scholar 

  4. Householder, A.S.,The Theory of Matrices in Numerical Analysis (Blaisdell, New York 1964).

    Google Scholar 

  5. Lees, M.,Lecture Notes on Two-Point Boundary Value Problems (Case Institute of Technology, 1965).

  6. Rose, M.E.,Finite Difference Schemes for Differential Equations, Math. Comp.18, 179–195 (1964).

    Google Scholar 

  7. Schechter, S.,Iteration Methods for Nonlinear Problems, Trans. Amer. Math. Soc.104, 179–189 (1962).

    Google Scholar 

  8. Varga, R.S.,Matrix Iterative Analysis (Prentice-Hall, Englewood Cliffs, N.J. 1962).

    Google Scholar 

  9. Varga, R.S.,On a Discrete Maximum Principle, SIAM J. Numer. Anal.3, 355–359 (1966).

    Google Scholar 

  10. Varga, R.S.,Hermite Interpolation-Type Ritz Methods for Two-Point Boundary Value Problems. inPartial Differential Equations, Edited by J. H. Bramble (Academic Press, New York 1966), pp. 365–373.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Dedicated to A. M. Ostrowski on the occasion of his 75th birthday

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ciarlet, P.G. An 0 (h 2) method for a non-smooth boundary value problem. Aeq. Math. 2, 39–49 (1969). https://doi.org/10.1007/BF01833489

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01833489

Navigation