298
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

On the stability of piecewise polynomial collocation methods for solving weakly singular integral equations of the second kind

&
Pages 29-36 | Received 06 Oct 2007, Published online: 14 Oct 2010

References

  • Brunner , H. 1985 . The numerical solution of weakly singular Volterra integral equations by collocation on graded meshes . Math. Comp , 45 (2) : 417 – 437 .
  • Brunner , H. , Pedas , A. and Vainikko , G. 1999 . The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations . Math. Comp , 68 (227) : 1079 – 1095 .
  • Brunner , H. and Tang , T. 1989 . Polynomial spline collocation methods for the nonlinear Basset equation . Comput. Math. Appl , 18 (5) : 449 – 457 .
  • Kress , R. 1989 . Linear Integral Equations , Berlin Heidelberg : Springer‐Verlag . (in Russian)
  • Tamme , E. 1995 . Two‐grid methods for nonlinear multidimensional weakly singular integral equations . J. Integral Equations Appl , 7 (2) : 99 – 113 .
  • Vainikko , G. 1993 . Multidimensional Weakly Singular Integral Equations, Lecture Notes Math , Berlin‐Heidelberg‐New York : Springer‐Verlag . (in Russian)
  • Vainikko , G. , Pedas , A. and Uba , P. 1984 . Methods for Solving Weakly Singular Integral Equations , Tartu : Univ. of Tartu . (in Russian)
  • The work of Raul Kangro was partially supported by EstSF grant no. 7044. The work of Inga Kangro has been partially supported by EstSF Postdoc grant No. JD05–35.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.