Study of the accuracy of discretization methods for weakly singular integral equations. When multiple dimensional quadrature formula are needed for the discretization of the weakly singular integral equations, in projection methods with high computational complexity, the existing numerical methods in commercial codes need careful and controlled application.

The comparaison of methods for integral equations with weak singular kernels in terms of arithmetic complexity and accuracy led to the following publications:

d’ Almeida F. D., Fernandes R. Projection methods based on grids for weakly singular integral equations. Applied Numerical Mathematics. 2017;Volume 114:47-54.

d’ Almeida F. D., Fernandes R.. Iterated Kantorovich versus Kulkarni method for Fredholm integral equations. Vol Integral Methods in Science and Engineering. Vol. 2: Practical Applications Italy, Padova: Birkhäuser Basel 2017.

Participation in the Advanced School "SIE2017, Second Advanced School on Integral Equations and Applications"

http://bugs.unica.it/cana/SIE2017/

with an invited seminar

"Building test examples for projection methods in the solution of nonlinear integral equations"

Date: 18 a 20 de Maio 2017

Host institution:  IST- Universidade de Lisboa  em colaboração com University of Cagliari, Italy

Country:  Portugal

Location / City:  Lisboa