Hostname: page-component-76fb5796d-22dnz Total loading time: 0 Render date: 2024-04-28T19:19:43.229Z Has data issue: false hasContentIssue false
  • English
  • Français

A modified projection method for equations of the second kind

Published online by Cambridge University Press:  17 April 2009

M. Thamban Nair
M. Thamban Nair
Affiliation:
Department of Mathematics, Indian Institute of Technology, Powai, Bombay 400 076, INDIA Department of Mathematics, Goa University, Bambolim, Santa-Cruz, P.O., Goa – 403 005, INDIA
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A modified projection method is suggested for the approximate solution of second kind equations and it is compared with other methods.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 36 , Issue 3 , December 1987 , pp. 485 - 492
Copyright
Copyright © Australian Mathematical Society 1987

References

[1]Chandler, G.A., Superconvergence of numerical solutions to second kind integral equations. (Ph.D. Thesis, Australian National University, Canberra, 1979).Google Scholar
[2]Joe, S., “Discrete collocation methods for second kind Fredholm integral equations”, SIAM J. Numer. Anal. 22 (1985), 1167–1177.CrossRefGoogle Scholar
[3]Joe, S., “Discrete Galerkin methods for Fredholm integral equations of the second kind”, IMA J. Numer. Anal. (to appear).Google Scholar
[4]Schock, E., “Uber die Konvergenzgeschwindigkeit projektiver Verfahren I, II”, Math. Z. 120 (1971) 148–156; 127 (1972), 191–198.CrossRefGoogle Scholar
[5]Schock, E., “Galerkin-like methods for equations of the second kind”, J. Integral Equations 4 (1982), 361–364.Google Scholar
[6]Schock, E., “Arbitrarily slowly convergence, uniform convergence and superconvergence of Galerkin-like methods”, IMA J. Numer. Anal. 5 (1985), 153–160.CrossRefGoogle Scholar
[7]Sloan, I.H., “Improvement by iteration for compact operator equations”, Math. Camp. 30 (1976), 758–764.CrossRefGoogle Scholar
[8]Sloan, I.H., Noussair, E. and Burn, J., “Projection methods for equations of the second kind”, J. Math. Anal. Appl. 69 (1979), 84–103.CrossRefGoogle Scholar