Error Analysis on General Grids for Finite Difference Discretizations of Sturm-Liouville Problems

Authors

  • G.S. Lorenzzetti
  • J.P. Zingano
  • P.R. Zingano

DOI:

https://doi.org/10.5540/tema.2008.09.01.0115

Abstract

We introduce a simple method to obtain very accurate pointwise estimates for both solution and gradient errors of finite difference discretizations on arbitrary grids of one-dimensional Sturm-Liouville problems. Application is given to the detailed analysis of an inconsistent, 2nd-order convergent scheme.

References

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J.P. Zingano, “Convergence of Mimetic Methods for Sturm-Liouville Problems on General Grids”, Ph.D. Thesis, University of New Mexico, Albuquerque, NM, 2003.

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Published

2008-06-01

How to Cite

Lorenzzetti, G., Zingano, J., & Zingano, P. (2008). Error Analysis on General Grids for Finite Difference Discretizations of Sturm-Liouville Problems. Trends in Computational and Applied Mathematics, 9(1), 115–124. https://doi.org/10.5540/tema.2008.09.01.0115

Issue

Vol. 9 No. 1 (2008)

Section

Original Article

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