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A nonlinear problem

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1054)

Keywords

  • Galerkin Method
  • Parabolic Problem
  • Regularity Assumption
  • Ordinary Differential Equa
  • Euler Scheme

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References

  1. J. Douglas, Jr. and T. Dupont, Galerkin methods for parabolic equations, SIAM J. Numer. Anal. 7, 575–626(1970).

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  2. M.F. Wheeler, A priori L2 error estimates for Galerkin approximations to parabolic partial differential equations, SIAM J. Numer. Anal. 10, 723–759(1973).

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  3. J. Douglas, Jr., Effective time-stepping methods for the numerical solution of nonlinear parabolic problems. Mathematics of Finite Elements and Applications, III (Proc. Third MAFELAP Conf., Brunel Univ., Uxbridge, 1978), pp. 289–304. Academic Press, London (1979).

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  4. M. Luskin, A Galerkin method for nonlinear parabolic equations with nonlinear boundary conditions. SIAM J. Numer. Anal. 16, 284–299(1979).

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  5. H.H. Rachford, Jr., Two-level discrete-time Galerkin approximations for second order nonlinear parabolic partial differential equations, SIAM J. Numer. Anal. 10, 1010–1026(1973).

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  6. V. Thomée and L.B. Wahlbin, On Galerkin methods in semilinear parabolic problems. SIAM J. Numer. Anal. 12, 378–389(1975).

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© 1984 Springer-Verlag

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Thomée, V. (1984). A nonlinear problem. In: Galerkin Finite Element Methods for Parabolic Problems. Lecture Notes in Mathematics, vol 1054. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071800

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  • DOI: https://doi.org/10.1007/BFb0071800

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12911-0

  • Online ISBN: 978-3-540-38793-0

  • eBook Packages: Springer Book Archive