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Stability of difference schemes for a class of partial differential equations

  • Part II Numerical Mathematics
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Abstract

The stability properties of thirteen difference schemes for a class of evolution equations are studied, and implications for a class of Korteweg-de Vries (KdV)-equations are discussed.

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References

  1. Tu Guizhang and Qin Mengzhao,The invariant groups and conservation laws of nonlinear evolution equations — an approach of symmetric function, Scientia Sinica Vol. XXIV No. 1 (1981), 13–26.

    Google Scholar 

  2. Feng Kang,Numerical Computing Method, Peking, (1978).

  3. R. D. Richtmyer and K. W. Moron,Difference Methods for Initial Value Problems, New York, Wiley Interscience, (1967).

    Google Scholar 

  4. J. Chris. Eilbeck,Numerical studies of solitons, Proc. of the Symposium on nonlinear (soliton) structure and dyn. in condensed matter, Oxford, England (June 27–29, 1976).

  5. Zabusky Kruskal,Interaction of “solitons” in a collisionless plasma and the recurrence of initial states, Phys. Rev. Letters 15 (1965), 240–243.

    Google Scholar 

  6. Qin Mengzhao,The difference scheme for the equation u t =au xxx , unpublished.

  7. John J. H. Miller,On the location of zeros of certain classes of polynomials with application to numerical analysis, J. Inst. Math. Appl., Vol. 8 (1971), 397–406.

    Google Scholar 

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Mengzhao, Q. Stability of difference schemes for a class of partial differential equations. BIT 23, 520–528 (1983). https://doi.org/10.1007/BF01933624

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  • DOI: https://doi.org/10.1007/BF01933624

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