%0 Journal Article %1 Neta1987Adaptive %A Neta, Beny %A Nelson, Paul %D 1987 %J Applied Mathematics and Computation %K 45b05-fredholm-integral-equations 65r20-numerical-analysis-integral-equations 68t05-learning-and-adaptive-systems %N 2 %P 171--184 %R 10.1016/0096-3003(87)90025-7 %T An Adaptive Method for the Numerical Solution of Fredholm Integral Equations of the Second Kind. I. Regular Kernels %U http://dx.doi.org/10.1016/0096-3003(87)90025-7 %V 21 %X An adaptive method based on the trapezoidal rule for the numerical solution of Fredholm integral equations of the second kind is developed. The choice of mesh points is made automatically so as to equidistribute both the change in the discrete solution and its gradient. Some numerical experiments with this method are presented.

@article{Neta1987Adaptive, abstract = {{An adaptive method based on the trapezoidal rule for the numerical solution of Fredholm integral equations of the second kind is developed. The choice of mesh points is made automatically so as to equidistribute both the change in the discrete solution and its gradient. Some numerical experiments with this method are presented.}}, added-at = {2019-03-01T00:11:50.000+0100}, author = {Neta, Beny and Nelson, Paul}, biburl = {https://www.bibsonomy.org/bibtex/26a4613bdb253d1419b3c3c142a5d9a61/gdmcbain}, citeulike-article-id = {14520863}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/0096-3003(87)90025-7}, doi = {10.1016/0096-3003(87)90025-7}, interhash = {f8121259baeacd88b39c5ab25b491c06}, intrahash = {6a4613bdb253d1419b3c3c142a5d9a61}, issn = {00963003}, journal = {Applied Mathematics and Computation}, keywords = {45b05-fredholm-integral-equations 65r20-numerical-analysis-integral-equations 68t05-learning-and-adaptive-systems}, month = feb, number = 2, pages = {171--184}, posted-at = {2018-01-21 23:22:14}, priority = {2}, timestamp = {2019-03-01T00:11:50.000+0100}, title = {An Adaptive Method for the Numerical Solution of {F}redholm Integral Equations of the Second Kind. {I}. Regular Kernels}, url = {http://dx.doi.org/10.1016/0096-3003(87)90025-7}, volume = 21, year = 1987 }