ASYMPTOTIC EXPANSIONS OF APPROXIMATE SOLUTIONS OF INTEGRAL EQUATIONS AND EIGENVALUE PROBLEMS IN A MODIFIED VERSION OF THE ITERATED COLLOCATION METHOD WITH GREEN’S TYPE KERNEL

Author:

Rane Akshay S.,Rakshit Gobinda,Sharma Punit

Publisher

Rocky Mountain Mathematics Consortium

Reference14 articles.

1. [1] M. Ahues, A. Largillier, and B. V. Limaye, Spectral computations for bounded operators, Applied Mathematics (Boca Raton) 18, Chapman & Hall/CRC, Boca Raton, FL, 2001.

2. [2] P. M. Anselone, Collectively compact operator approximation theory and applications to integral equations, Prentice-Hall Series in Automatic Computation, Prentice-Hall, Englewood Cliffs, NJ, 1971. With an appendix by Joel Davis.

3. [3] K. E. Atkinson, The numerical solution of integral equations of the second kind, Cambridge Monographs on Applied and Computational Mathematics 4, Cambridge University Press, Cambridge, 1997.

4. [4] K. E. Atkinson and L. F. Shampine, “Algorithm 876: solving Fredholm integral equations of the second kind in Matlab”, ACM Trans. Math. Software 34:4 (2008), Art. 21, 20.

5. [5] F. Chatelin, Spectral approximation of linear operators, Computer Science and Applied Mathematics, Academic Press [Harcourt Brace Jovanovich, Publishers], New York, 1983. With a foreword by P. Henrici, With solutions to exercises by Mario Ahués.

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