Superconvergence in the maximum norm of a class of piecewise polynomial collocation methods for solving linear weakly singular volterra integro-differential equations

Journal of Integral Equations and Applications

Volumn 15, Issue 4, 2003, Pages 403-421

  Kangro, Raul ^a   Parts, Inga ^b  

^a Audentes University   (Estonia)

^b UNIVERSITY OF TARTU   (Estonia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33746794772     PISSN: 08973962     EISSN: None     Source Type: Journal    
DOI: 10.1216/jiea/1181074984     Document Type: Article

References (4)

1. H. Brunner, A. Pedas and G. Vainikko, Piecewise polynomial collocation methods for linear Volterra integro-differential equations with weakly singular kernels, SIAM J. Numer. Anal. 39 (2001), 957-982.
2. H. Brunner, A. Pedas and G. Vainikko, A spline collocation method for linear Volterra integro-differential equations with weakly singular kernels, BIT 41 (2001), 891-900.
3. Tao Tang, Superconvergence of numerical solutions to weakly singular Volterra integro-differential equations, Numer. Math. 61 (1992), 373-382.
4. G. Vainikko, Multidimensional weakly singular integral equations, Lecture Notes in Math., Vol. 1549, Springer-Verlag, Berlin, 1993.