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Sharpening the estimate of the stability constant in the maximum-norm of the Crank–Nicolson scheme for the one-dimensional heat equation

  • Published:2002-08 Issue:1-3 Volume:42 Page:133-140
  • ISSN:0168-9274
  • Container-title:Applied Numerical Mathematics
  • language:en
  • Short-container-title:Applied Numerical Mathematics

Author:

Faragó I.,Palencia C.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference21 articles.

1. On the resolvent bound of the second order difference operator with periodic conditions;Bakaev;Prob. Sovr. Teor. Periodich. Dvizhen.,1988

2. Stability theory of difference schemes in arbitrary norms;Bakaev;Dokl. Akad. Nauk SSSR,1987

3. M. Crouzeix, Unpublished note concerning the resolvent estimate, 1988

4. The stability of rational approximations of analytic semigroups;Crouzeix;BIT,1993

5. Linear stability analysis in the numerical solutions of initial value problems;van Dorsselaer;Acta Numerica,1993

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