Skip to main content

Difference methods for linear initial value problems

I. Näherungsverfahren Für Nichtlineare Anfangswertaufgaben Und Anfangsrandwertaufgaben

Part of the Lecture Notes in Mathematics book series (LNM,volume 395)

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   49.95
Price excludes VAT (Canada)
  • 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. Ansorge, R., und Hass, R.: Konvergenz von Differenzenverfahren für lineare und nichtlineare Anfangswertaufgaben. Lecture Notes in Mathematics 159. Berlin-Heidelberg-New York: Springer 1970.

    MATH  Google Scholar 

  2. Aubin, J.P.: Approximation des espaces de distribution et des opérateurs différentiels. Bull. Soc. Math. France Mém. 12, 1–139 (1967).

    MathSciNet  Google Scholar 

  3. Forsythe, G.E., and Wasow, W.R.: Finite-difference methods for partial differential equations. New York-London: Wiley 1960.

    MATH  Google Scholar 

  4. Kato, T.: Perturbation theory for linear operators. Berlin-Heidelberg-New York: Springer 1966.

    CrossRef  MATH  Google Scholar 

  5. Lax, P.D., and Richtmyer, R.D.: Survey of the stability of linear finite difference equations. Comm. Pure Appl. Math. 9, 267–293 (1956).

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. Richtmyer, R.D., and Morton, K.W.: Difference methods for initial-value problems (Sec. Ed.). New York: Interscience 1967.

    Google Scholar 

  7. Rjabenki, V.S., and Filippow, A.F.: Über die Stabilität von Differenzengleichungen. Berlin: Deutscher Verlag der Wissenschaften 1960.

    MATH  Google Scholar 

  8. Stummel, F.: Diskrete Konvergenz linearer Operatoren. I. Math. Ann. 190, 45–92 (1970).

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. — Discrete convergence of mappings. Proc. Conference on Numerical Analysis, Dublin 1972. New York-London: Academic Press 1973.

    Google Scholar 

  10. — Approximation methods in analysis. Lecture Notes Series No 35. Aarhus Universitet: Matematisk Institut 1973.

    MATH  Google Scholar 

  11. Stummel, F., and Reinhardt, J.: Discrete convergence of continuous mappings in metric spaces. Proc. Conference "Numerische, insbesondere approximationstheoretische Behandlung von Funktionalgleichungen", Oberwolfach 1972. Lecture Notes in Mathematics 333, 218–242. Berlin-Heidelberg-New York: Springer 1973.

    CrossRef  Google Scholar 

  12. Trotter, H.F.: Approximation of semi-groups of operators. Pacific J. Math. 8, 887–919 (1958).

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1974 Springer-Verlag

About this paper

Cite this paper

Stummel, F. (1974). Difference methods for linear initial value problems. In: Ansorge, R., Törnig, W. (eds) Numerische Behandlung nichtlinearer Integrodifferential-und Differentialgleichungen. Lecture Notes in Mathematics, vol 395. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060667

Download citation

  • DOI: https://doi.org/10.1007/BFb0060667

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06832-7

  • Online ISBN: 978-3-540-37771-9

  • eBook Packages: Springer Book Archive