References
- K.E. Atkinson, The Numerical Solutions of Integral Equations of the Second Kind, Cambridge University Press, Cambridge, 1997.
- K.E. Atkinson, I. Graham, and I.H. Sloan, Piecewise continuous collocation for integral equations, SIAM J. Numer. Anal. 20 (1983), pp. 172–186.
- K.E. Atkinson and F.A. Potra, Projection and iterated projection methods for nonlinear integral equations, SIAM J. Numer. Anal. 24 (1987), pp. 1352–1373.
- F. Chatelin and R. Lebbar, Superconvergence results for the iterated projection method applied to a Fredholm integral equation of the second kind and the corresponding eigenvalue problem, J. Integral Equ. 6 (1984), pp. 71–91.
- W.F. Ford, J.A. Pennline, Y. Xu, and Y. Zhao, Asymptotic error analysis of a quadrature method for integral equations with Green's function kernels, J. Integral Equations Appl. 12 (2000), pp. 349–384.
- M.A. Krasnoselskii, Topological Methods in the Theory of Nonlinear Integral Equations, Pergamon Press, London, 1964.
- M.A. Krasnoselskii, G.M. Vainikko, P.P. Zabreiko, Ya.B. Rutitskii, and V. Ya Stetsenko, Approximate Solution of Operator Equations, P. Noordhoff, Groningen, 1972.
- M.A. Krasnoselskii and P.P. Zabreiko, Geometrical Methods of Nonlinear Analysis, Springer-Verlag, Berlin, 1984.
- R.P. Kulkarni, On improvement of the iterated Galerkin solution of the second kind integral equations, J. Numer. Math. 13(3) (2005), pp. 205–218.
- R.P. Kulkarni and T.J. Nidhin, Asymptotic error analysis of projection and modified projection methods for nonlinear integral equations, J. Integral Equations Appl. 27(1) (2015), pp. 67–101.
- R.P. Kulkarni and A.S. Rane, Asymptotic expansions for approximate solutions of Fredholm integral equations with Green's function type kernels, J. Integral Equations Appl. 24 (2012), pp. 39–79.
- R.P. Kulkarni and A.S. Rane, Asymptotic expansions for approximate solutions of Hammerstein integral equations with Green's function type kernels, Math. Model. Anal. 19(1) (2014), pp. 127–143.
- P. Linz, Theoretical Numerical Analysis, Courier Dover Publications, Inc. Mineola, New York, 2019.
- W. McLean, Asymptotic error expansions for numerical solution of integral equations, IMA J. Numer. Anal. 9 (1989), pp. 373–384.
- G. Rakshit and A.S. Rane, Asymptotic expansion of iterated Galerkin solution of second kind Fredholm integral equations with Green's kernels, J. Integral Equations Appl. 32(4) (2020), pp. 495–507.
- L.B. Rall, Computational Solution of Nonlinear Operator Equations, Wiley, New York, 1969.
- F. Riesz and B.S. Nagy, Functional Analysis, Frederick Ungar Pub., New York, 1955.