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Instability and non-monotonicity phenomena in discretizations to boundary-value problems

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References

  1. Varga, R. S.: Matrix iterative analysis. Englewood Cliffs: Prentice-Hall, Inc. 1962.

    Google Scholar 

  2. Stetter, H. J.: A study of strong and weak stability in discretization algorithms. J. SIAM Num. Anal.2, 265–280 (1965).

    Google Scholar 

  3. Khintchine, A. YA.: Kettenbrüche. Leipzig: Teubner Verlagsges. 1956 (Übersetzung aus dem Russischen).

    Google Scholar 

  4. Stone, B. J.: Best possible ratios of certain matrix norms. Stanford University Tech. Report, 1961.

  5. Bramble, J. H., andB. E. Hubbard: On a finite difference analogue of an elliptic boundary problem which is neither diagonally dominant nor of non-negative type. J. Math. Physics43, 117–132 (1964).

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  6. Price, H. S.: Monotone and oscillation matrices applied to finite difference approximations. Doctoral Thesis, Case Inst. of Technology, 1965.

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Dedicated byRobert Sauer on the occasion of his 70th birthday

The research in this paper has been sponsored in part by the United States Government under Contract 61(052)-960.

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Stetter, H.J. Instability and non-monotonicity phenomena in discretizations to boundary-value problems. Numer. Math. 12, 139–145 (1968). https://doi.org/10.1007/BF02173408

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