The iterative correction method for Volterra integral equations

BIT Numerical Mathematics

Volumn 36, Issue 2, 1996, Pages 221-228

  Brunner, Hermann ^a   Lin, Qun ^b   Yan, Ningning ^b  

^a MEMORIAL UNIVERSITY OF NEWFOUNDLAND   (Canada)

^b INSTITUTE OF SYSTEMS SCIENCE   (China)

Author keywords

Collocation; Iterative correction; Volterra integral equations

Indexed keywords

EID: 0008526634     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01731980     Document Type: Article

References (6)

1. K. Atkinson and J. Flores, The discrete collocation method for nonlinear integral equations, IMA J. Numer. Anal., 13 (1993), 195-213.
2. H. Brunner, Iterated collocation methods and their discretizations for Volterra integral equations, SIAM J. Numer. Anal., 21 (1984), 1132-1145.
3. H. Brunner, Collocation methods for one-dimensional Fredholm and Volterra, integral equations, in The State of the Art in Numerical Analysis, A. Iserles, and M. J. D. Powell, eds., Oxford University Press, Oxford, 1987, 563-600.
4. H. Brunner, On discrete superconvergence properties of spline collocation methods for nonlinear Volterra, integral equations, J. Comput. Math., 10 (1992), 348-357.
5. Q, Lin and J, Shi, Iterative corrections and posteriori error estimate for integral equations, 3. Comput. Math., 11 (1993), 297-300.
6. I. H. Sloan, Superconvergence, in Numerical Solution of Integral Equations, M. A. Golberg, ed., pp. 35-70, Plenum Press, New York, 1990.