Skip to main content
SpringerLink
Log in

New results on the approximation of solutions to partial differential equations: Iterative methods

  • Part III
  • Conference paper
  • First Online:
Analytic Theory of Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 183))

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

Access this chapter

Log in via an institution
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 46.00
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S. Bergman and M. Schiffer, Kernel Functions and Differential Equations in Mathematical Physics, Academic Press, New York, 1953.

    MATH  Google Scholar 

  2. D. Colton, Cauchy's problem for almost linear elliptic equations in two independent variables, I, II, to appear in J. Approximation Theory.

    Google Scholar 

  3. D. Colton and R.P. Gilbert, Cauchy's problem for elliptic equations in several independent variables, to appear.

    Google Scholar 

  4. P.R. Garabedian, Applications of the theory of partial differential equations to problems of fluid mechanics, Modern Mathematics for the Engineer: Second Series, McGraw Hill, New York, 1961, 347–372.

    Google Scholar 

  5. P.R. Garabedian, Stability of Cauchy's problem in space for analytic systems of arbitrary type, J. Math. Mech. 9 (1960), 241–271

    MathSciNet  MATH  Google Scholar 

  6. R.P. Gilbert, Function Theoretic Methods in Partial Differential Equations, Academic Press, New York, 1969.

    MATH  Google Scholar 

  7. R.P. Gilbert, A method of ascent for solving boundary value problems, Bull. Amer. Math. Soc. 75 (1969), 1286–1289.

    Article  MathSciNet  MATH  Google Scholar 

  8. R.P. Gilbert, The construction of solutions for boundary value problems by function theoretic methods, SIAM J. Math. Anal. 1 (1970), 20–35.

    Article  MathSciNet  Google Scholar 

  9. M. Lowengrub and R.P. Srivastav, Effect of rigid inclusions in Griffith cracks, to appear.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Indiana University, USA

    David Colton & Robert P. Gilbert

Authors
  1. David Colton
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Robert P. Gilbert
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

P. F. Hsieh A. W. J. Stoddart

Rights and permissions

Reprints and permissions

Copyright information

© 1971 Springer-Verlag

About this paper

Cite this paper

Colton, D., Gilbert, R.P. (1971). New results on the approximation of solutions to partial differential equations: Iterative methods. In: Hsieh, P.F., Stoddart, A.W.J. (eds) Analytic Theory of Differential Equations. Lecture Notes in Mathematics, vol 183. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060422

Download citation

  • DOI: https://doi.org/10.1007/BFb0060422

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05369-9

  • Online ISBN: 978-3-540-36454-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation