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- Title
Numerical solution of Volterra integral equations with singularities.
- Authors
Kolk, Marek; Pedas, Arvet
- Abstract
The numerical solution of linear Volterra integral equations of the second kind is discussed. The kernel of the integral equation may have weak diagonal and boundary singularities. Using suitable smoothing techniques and polynomial splines on mildly graded or uniform grids, the convergence behavior of the proposed algorithms is studied and a collection of numerical results is given.
- Subjects
NUMERICAL solutions to Voterra equations; INTEGRAL equations; KERNEL (Mathematics); SMOOTHING (Numerical analysis); STOCHASTIC convergence; ALGORITHMS
- Publication
Frontiers of Mathematics in China, 2013, Vol 8, Issue 2, p239
- ISSN
1673-3452
- Publication type
Article
- DOI
10.1007/s11464-013-0292-z