References
- Anselone , P.M. 1971 . Collectively Compact Operator Approximation Theory , New Jersey : Prentice Hall .
- Atkinson , K.E. 1997 . The Numerical Solution of Integral Equations of the Second Kind , Cambridge : Cambridge University Press .
- M. Kolk and A. Pedas . Numerical solution of Volterra integral equations with weakly singular kernels which may have a boundary singularity Math. Model. Anal ., 14 1 : 79 – 89 , 2009 . http://dx.doi.org/10.3846/1392-6292.2009.14.79-89
- M. Kolk , A. Pedas and G. Vainikko . High-order methods for Volterra integral equations with general weak singularities Numer. Funct. Anal. Optim ., 30 9–10 : 1002 – 10024 , 2009 . http://dx.doi.org/10.1080/01630560903393154
- Kress , R. 1989 . Linear Integral Equations , Berlin : Springer .
- G. Monegato and L. Scuderi . High order methods for weakly singular integral equations with nonsmooth input functions Math. Comp ., 67 : 1493 – 1515 , 1998 . http://dx.doi.org/10.1090/S0025-5718-98-01005-9
- K. Orav-Puurand , A. Pedas and G. Vainikko Nystroem type methods for Fredholm integral equations with weak singularities . J. Comput. Appl. Math ., 234 9 : 2848 – 2858 , 2010 . http://dx.doi.org/10.1016/j.cam.2010.01.033
- K. Orav-Puurand and G. Vainikko . Central part interpolation schemes for integral equations . Numer. Funct. Anal. Optim ., 30 3–4 : 352 – 370 , 2009 . http://dx.doi.org/10.1080/01630560902841153
- A. Pedas . Nystroem type methods for a class of logarithmic singular Fredholm integral equations . In Theodore E. Simos , George Psihoyios , Ch. Tsitouras and Zacharias Anastassi , International Conference on Numerical Analysis and Applied Mathematics , 1389 , pp. 477 – 480 , Halkidiki , , Greece , 2011 . Amer. Inst. Physics
- A. Pedas and G. Vainikko Smoothing transformation and piecewise polynomial collocation for weakly singular integral equations . Computing , 73 : 271 – 293 , 2004 . http://dx.doi.org/10.1007/s00607-004-0088-9 .
- Pedas , A. and Vainikko , G. 2006 . Integral equations with diagonal and boundary singularities of the kernel . J. Anal. Appl. (ZAA) , 25 : 487 – 516 .
- P. Runck . Über Konvergenzfragen bei Polynominterpolation mit equidistanten Knoten I, II J. Reine Angew. Math ., 208, 210 : 51 – 69 ; 175–204 , 1961 , 1962
- E. Vainikko and G. Vainikko . A spline product quasi-interpolation method for weakly singular Fredholm integral equations . SIAM J. Numer. Anal ., 46 4 : 1799 – 1820 , 2008 . http://dx.doi.org/10.1137/070693308 .
- E. Vainikko and G. Vainikko . Product quasi-interpolation in logarithmically singular integral equations . Math. Model. Anal ., 17 5 : 696 – 714 , 2012 . http://dx.doi.org/10.3846/13926292.2012.736089 .
- Vainikko , G. 1976 . Funktionalanalysis der Diskretisierungsmethoden , Leipzig : Teubner Verlag .
- G. Vainikko . Weakly singular integral equations . Lecture notes, University of Tartu, Helsinki University of Technology , available from Internet: http://www.ut.ee/gen/WSIElecturesSIAM.pdf , 2006–2007