On Fri, Aug 12, 2011 at 12:26, Paul Anton Letnes < paul.anton.letnes at gmail.com> wrote:
> I'm not 100% sure what you mean by "second kind integral operator", but it > is a Fredholm equation of the first kind, as far as I understand (my > background is physics rather than mathematics). Is the thing you're trying to solve with actually of the first kind, not of the second kind? http://en.wikipedia.org/wiki/Fredholm_integral_equation The distinction is whether there is essentially in whether there is a local part to the equation or not. The issue, as I understand it, is that solving a first-kind integral equation is generally not a stable process because the eigenvalues of the integral operator decay to zero, implying that it is essentially low rank, thus not invertible. Maybe you use some regularization to get a system that is not essentially singular? -------------- next part -------------- An HTML attachment was scrubbed... URL: <http://lists.mcs.anl.gov/pipermail/petsc-users/attachments/20110812/b5b9f9b4/attachment.htm>
