@misc{LopezFernandezLubichPalenciaetal., author = {Lopez-Fernandez, Maria and Lubich, Christian and Palencia, Cesar and Sch{\"a}dle, Achim}, title = {Fast Runge-Kutta approximation of inhomogeneous parabolic equations}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-8443}, number = {05-10}, abstract = {The result after \$N\$ steps of an implicit Runge-Kutta time discretization of an inhomogeneous linear parabolic differential equation is computed, up to accuracy \$\varepsilon\$, by solving only \$\$O\Big(\log N\, \log \frac1\varepsilon \Big) \$\$ linear systems of equations. We derive, analyse, and numerically illustrate this fast algorithm.}, language = {en} }