Yep, by using two different bases, one Chebyshev and one ultraspherical (Gegenbauer) polynomials, differential operators become banded operators, and can be solved in O(n) time. On 19 Sep 2014, at 12:14 pm, DumpsterDoofus <peter.richter....@gmail.com> wrote:
> Haha, I remember reading through your paper "A fast and well-conditioned > spectral method" last year and feeling like my head was spinning afterwards. > I vaguely recall that it views differential equations in GegenbauerC space, a > basis choice which has a bunch of super convenient properties, all of which I > have completely forgotten by now.