Strong linear scaling for spectral simulations of time dependent semilinear partial differential equations on Marenostrum

ABSTRACT We solve a time dependent semilinear partial differential equation using a spectral collocation method on a distributed memory supercomputer. Previous attempts to use spectral methods to solve evolutionary partial differential equations have scaled poorly on distributed memory machines because typical time stepping algorithms require fast global all-to-all communications. Consequently, primarily expensive supercomputers with very fast interprocessor communications are used to do large scale spectral simulations -see for exampl