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Topics in finite element discretization of parabolic evolution problems

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Numerical Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 909))

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References

  1. O.C. ZIENKIEWICZ, The Finite Element Method, 3rd Edition. McGraw Hill, London (1977).

    MATH  Google Scholar 

  2. J. DOUGLAS, Jr. and T. DUPONT, Alternating-Direction Galerkin Methods on Rectangles. pp. 113–214 of B. Hubbard (Ed.), SYNSPADE 1970. Academic Press, New York (1971).

    Google Scholar 

  3. J.P. HENNART, Multiple Collocation Finite Elements in Time for Parabolic Evolution Problems. pp. 271–278 of J.R. Whiteman (Ed.), The Mathematics of Finite Elements and Applications III. Academic Press, London (1979).

    Google Scholar 

  4. R. FRANK and C.W. UEBERHUBER, Iterated Defect Correction for the Efficient Solution of Stiff Systems of Ordinary Differential Equations. BIT 17, 146–159 (1977).

    Article  MathSciNet  MATH  Google Scholar 

  5. J. DOUGLAS, Jr. and T. DUPONT, Galerkin Methods for Parabolic Equations. SIAM J. Numer. Anal. 7, 575–626 (1970).

    Article  MathSciNet  MATH  Google Scholar 

  6. J.P. HENNART and H. GOURGEON, One-Step Exponentially Fitted Piecewise Continuous Methods for Initial Value Problems. Comunicaciones Técnicas, Serie NA, No. 263, 43 p. (1981).

    Google Scholar 

  7. H. GOURGEON and J.P. HENNART, A Class of Exponentially Fitted Piecewise Continuous Methods for Initial Value Problems. In these Proceedings.

    Google Scholar 

  8. J.P. HENNART, Some Recent Numerical Methods for the Solution of Parabolic Evolution Problems. Séminaire d'Analyse Numérique No. 298, 27 p., Université Scientifique et Médicale de Grenoble, Mathématiques Appliquées (1978).

    Google Scholar 

  9. E. DEL VALLE G., Applicación del Método de Elementos Finitos a la Dinámica de Reactores Nucleares. Tesis de Maestría en Ingeniería Nuclear, 169 p., Instituto Politécnico Nacional, México, D.F. (1981).

    Google Scholar 

  10. A.R. GOURLAY, Splitting Methods for Time Dependent Partial Differential Equations. pp. 757–795 of D.A.H. Jacobs (Ed.), The State of the Art in Numerical Analysis. Academic Press, London (1977).

    Google Scholar 

  11. L.A. HAGEMAN and J.B. YASINSKY, Comparison of Alternating-Direction Time Differencing Methods with other Implicit Methods for the Solution of the Neutron Group-Diffusion Equations. Nucl. Sci. Engng. 38, 8–32 (1969).

    Article  Google Scholar 

  12. J.P. HENNART and E. DEL VALLE G., In Preparation.

    Google Scholar 

  13. J.P. HENNART, One-Step Piecewise Polynomial Multiple Collocation Methods for Initial Value Problems. Math. Comp. 31, 24–36 (1977).

    Article  MathSciNet  MATH  Google Scholar 

  14. J.P. HENNART, Some Recent One-Step Formulae for Integrating Stiff Systems of ODE's. Université Scientifique et Médicale de Grenoble, Mathématiques Appliquées, Séminaire d'Analyse Numérique No. 253, 17/06/76, 31 p. (1976).

    Google Scholar 

  15. J.P. Hennart, On the Implementation of Finite Elements in Parabolic Evolution Problems. To Appear in J.R. Whiteman (Ed.), The Mathematics of Finite Elements and Applications IV. Academic Press, London.

    Google Scholar 

  16. C.W. UEBERHUBER, Implementation of Defect Correction Methods for Stiff Differential Equations. Computing 23, 205–232 (1979).

    Article  MathSciNet  MATH  Google Scholar 

  17. R. FRANK, J. THIEMER and C.W. UEBERHUBER, Numerische Quadratur mittels Iterierter Defektkorrektur. Report No. 34/78. Inst. f. Num. Math., Technical University of Vienna (1978).

    Google Scholar 

  18. E. HAIRER, On the Order of Iterated Defect Correction. Numer. Math. 29, 409–424 (1978).

    Article  MathSciNet  MATH  Google Scholar 

  19. J.H. BRAMBLE and P.H. SAMMON, Efficient Higher Order Single Step Methods for Parabolic Problems. Part I. Math. Comp. 35, 655–677 (1980).

    MathSciNet  MATH  Google Scholar 

  20. J. DESCLOUX and N.R. NASSIF, Padé Approximations to Initial Value Problems. Report EPFL, Lausanne (1975).

    Google Scholar 

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  1. Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México, Apartado Postal 20-726, México 20, D.F.

    J. P. Hennart

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  1. J. P. Hennart
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© 1982 Springer-Verlag

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Hennart, J.P. (1982). Topics in finite element discretization of parabolic evolution problems. In: Hennart, J.P. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 909. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092973

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  • DOI: https://doi.org/10.1007/BFb0092973

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11193-1

  • Online ISBN: 978-3-540-38986-6

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