We have developed a robust and efficient method of solving a wide class of such PDEs, including the Gross-Pitaevskii equation which is ubiquitous in Bose condensation. A detailed description of the method, and its performance can be found in the lectures below:

"Computational methods for nonlinear partial differential equations"

R. J. Ballagh

Lectures given at the
Institute for Theoretical Physics
Innsbruck University
November 2000

Lecture 1 (400kB PDF)
 
Lecture 2 (560kB PDF)