Hostname: page-component-54dcc4c588-m259h Total loading time: 0 Render date: 2025-10-04T20:57:07.844Z 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.

Information

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