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Numerical methods for ultraparabolic equations

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Abstract

We analyze semidiscrete and fully discrete finite element approximations to the solution of an initial boundary value problem for a model ultraparabolic equation.

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References

  1. T. G. Genčev,Ultraparabolic equations, Dokl. Akad. Nauk SSSR151 (1963), 265–268; English Transl. in Soviet Math. Dokl.4 (1963), 979–982.

    MathSciNet  Google Scholar 

  2. A. M. Il'in,On a class of ultraparabolic equations, Dokl. Akad. Nauk SSSR159 (1964), 1214–1217; English Transl in Soviet Math. Dokl.5 (1964), 1673–1676.

    MathSciNet  Google Scholar 

  3. A. N. Kolmogorov,Zur Theorie der stetigen zufälligen Prozesse, Math. Ann.108 (1933), 149–160.

    Article  MATH  MathSciNet  Google Scholar 

  4. A. N. Kolmogorov,Zufällige Bewegungen, Ann. of Math.35 (1934), 116–117.

    Article  MathSciNet  Google Scholar 

  5. S. A. Tersenov,On boundary value problems for a class of ultraparabolic equations, and their applications, Matem. Sbornik133 (175) (1987), 539–555; English Transl in Math. USSR Sbornik61 (1988), 529–544.

    Google Scholar 

  6. V. Thomée,A stable difference scheme for the mixed boundary problem for a hyperbolic, first-order system in two dimensions, J. Soc. Indust. Appl. Math.10 (1962), 229–245.

    Article  MATH  MathSciNet  Google Scholar 

  7. V. S. Vladimirov, Ju. N. Drožžinov,Generalized Cauchy problem for an ultraparabolic equation, Izv. Akad. Nauk. SSSR Ser. Mat.31 (1967), 1341–1360; English Transl. in Math. USSR Izv.1 (1967), 1285–1303.

    MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Mathematics Department, University of Crete, 714 09 Heraklion, Crete, Greece

    G. Akrivis

  2. IRMAR, Université de Rennes 1, Campus de Beaulieu, F-35042, Rennes Cedex, France

    M. Crouzeix

  3. Department of Mathematics, Chalmers University of Technology, S-412 96, Göteborg, Sweden

    V. Thomée

Authors
  1. G. Akrivis
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  2. M. Crouzeix
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  3. V. Thomée
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Akrivis, G., Crouzeix, M. & Thomée, V. Numerical methods for ultraparabolic equations. Calcolo 31, 179–190 (1994). https://doi.org/10.1007/BF02575877

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  • DOI: https://doi.org/10.1007/BF02575877

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