# HG changeset patch # User paugier <pierre.augier@univ-grenoble-alpes.fr> # Date 1594969814 -7200 # Fri Jul 17 09:10:14 2020 +0200 # Node ID 7afd1a07abf9f2c40cb7764ed483c5a18c06f3fc # Parent 88a6aac1bbeab911e330df074be4dbb293fdada7 Doc base/time_stepping/pseudo_spect.py diff --git a/fluidsim/base/time_stepping/pseudo_spect.py b/fluidsim/base/time_stepping/pseudo_spect.py --- a/fluidsim/base/time_stepping/pseudo_spect.py +++ b/fluidsim/base/time_stepping/pseudo_spect.py @@ -381,8 +381,6 @@ Notes ----- - WIP: only for 1D! - We consider an equation of the form .. math:: \p_t S = \sigma S + N(S), @@ -430,8 +428,6 @@ Notes ----- - WIP: only for 1D! - We consider an equation of the form .. math:: \p_t S = \sigma S + N(S), @@ -662,11 +658,11 @@ - Approximation 1: - .. math:: \p_t \log S = \sigma + \frac{N_{0\alpha}}{S_0}, + .. math:: \p_t \log S = \sigma + \frac{\tilde N_{0\alpha}}{S_0}, Integrating from :math:`t` to :math:`t+\dt`, it gives: - .. math:: S_1 = (S_0 + N_{0\alpha} \dt) e^{\sigma \dt}. + .. math:: S_1 = (S_0 + \tilde N_{0\alpha} \dt) e^{\sigma \dt}. - Approximation 2: