Accumulated error in the numerical time evolutions by using FFT

Sasa, Narimasa; Yamada, Susumu; Machida, Masahiko; Mukunoki, Daichi*; Imamura, Toshiyuki*

no journal, , 

In accordance with the basic research for the material development, we investigate a numerical scheme for large scale parallel numerical simulation of a quantum condensate. In solving the time evolution of PDEs, FFT plays an important role to give a high accuracy numerical scheme. However, we find many numerical examples in which an accumulated error by FFT becomes large in the long time numerical simulations. We examine the application of the quad precision FFT to avoid the accumulated error.