Pseudospectral versus finite-differences schemes in the numerical integration of stochastic models of surface growth

Details Pseudospectral versus finite-differences schemes in the numerical integration of stochastic models of surface growth Pseudospectral versus finite-differences schemes in the numerical integration of stochastic models of surface growth

2007-07-17

arxiv.org/abs/0707.2469v1

Physics

Condensed Matter

Statistical Mechanics

13 single column pages, RevTeX, 6 eps figs

Scientific paper

10.1103/PhysRevE.76.051121

We present a comparison between finite differences schemes and a pseudospectral method applied to the numerical integration of stochastic partial differential equations that model surface growth. We have studied, in 1+1 dimensions, the Kardar, Parisi and Zhang model (KPZ) and the Lai, Das Sarma and Villain model (LDV). The pseudospectral method appears to be the most stable for a given time step for both models. This means that the time up to which we can follow the temporal evolution of a given system is larger for the pseudospectral method. Moreover, for the KPZ model, a pseudospectral scheme gives results closer to the predictions of the continuum model than those obtained through finite difference methods. On the other hand, some numerical instabilities appearing with finite difference methods for the LDV model are absent when a pseudospectral integration is performed. These numerical instabilities give rise to an approximate multiscaling observed in the numerical simulations. With the pseudospectral approach no multiscaling is seen in agreement with the continuum model.

Affiliated with

Also associated with

No associations

Rating

Pseudospectral versus finite-differences schemes in the numerical integration of stochastic models of surface growth does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Pseudospectral versus finite-differences schemes in the numerical integration of stochastic models of surface growth, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pseudospectral versus finite-differences schemes in the numerical integration of stochastic models of surface growth will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-562524