Skip to main content

Convergence estimates for semi-discrete galerkin methods for initial-value problems

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 333))

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   49.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J.H. Bramble and S.R. Hilbert, Estimation of linear functionals on Sobolev spaces with application to Fourier transforms and spline interpolation. SIAM J. Numer. Anal. 7(1970), 112–124.

    Article  MathSciNet  MATH  Google Scholar 

  2. Ph. Brenner and V. Thomée, Stability and convergence rates in Lp for certain difference schemes. Math. Scand. 27(1970), 5–23.

    MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  4. T. Dupont, Galerkin methods for first order hyperbolics: an example. SIAM J. Numer. Anal. (to appear).

    Google Scholar 

  5. G. Fix and N. Nassif, On finite element approximations to time dependent problems. Numer. Math. 19(1972), 127–135.

    Article  MathSciNet  MATH  Google Scholar 

  6. H.S. Price and R.S. Varga, Error bounds for semi-discrete Galerkin approximations of parabolic problems with application to petroleum reservoir mechanics. Numerical Solution of Field Problems in Continuum Physics. AMS Providence R.I., 1970, 74–94.

    Google Scholar 

  7. I.J. Schoenberg, Contributions to the problem of approximation of equidistant data by analytic functions, A and B. Quart. Appl. Math. 4(1946), 45–99, 112–141.

    MathSciNet  Google Scholar 

  8. I.J. Schoenberg, Cardinal interpolation and spline functions. J. Approximation Theory 2(1969), 335–374.

    Article  MathSciNet  MATH  Google Scholar 

  9. I.J. Schoenberg, Cardinal interpolation and spline functions II. Interpolation of data of power growth. J. Approximation Theory. (to appear).

    Google Scholar 

  10. G. Strang and G. Fix, A Fourier analysis of the finite element variational method. Mimeographed notes.

    Google Scholar 

  11. B. Swartz and B. Wendroff, Generalized finite difference schemes, Math. Comp. 23(1969), 37–50.

    Article  MathSciNet  MATH  Google Scholar 

  12. V. Thomée, Spline approximation and difference schemes for the heat equation. (to appear).

    Google Scholar 

Download references

Authors

Editor information

R. Ansorge W. Törnig

Rights and permissions

Reprints and permissions

Copyright information

© 1973 Springer-Verlag

About this paper

Cite this paper

Thomée, V. (1973). Convergence estimates for semi-discrete galerkin methods for initial-value problems. In: Ansorge, R., Törnig, W. (eds) Numerische, insbesondere approximationstheoretische Behandlung von Funktionalgleichungen. Lecture Notes in Mathematics, vol 333. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060701

Download citation

  • DOI: https://doi.org/10.1007/BFb0060701

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06378-0

  • Online ISBN: 978-3-540-46986-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics