From: kanschat Date: Thu, 15 May 2014 19:59:33 +0000 (+0000) Subject: Change documentation for nonlinear problems X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=7fb7959f6ee8a36ff72ec9741593b82b8118fcbc;p=dealii-svn.git Change documentation for nonlinear problems git-svn-id: https://svn.dealii.org/trunk@32910 0785d39b-7218-0410-832d-ea1e28bc413d --- diff --git a/deal.II/include/deal.II/algorithms/theta_timestepping.h b/deal.II/include/deal.II/algorithms/theta_timestepping.h index 43ade372df..0bfec47e27 100644 --- a/deal.II/include/deal.II/algorithms/theta_timestepping.h +++ b/deal.II/include/deal.II/algorithms/theta_timestepping.h @@ -65,11 +65,11 @@ namespace Algorithms * error term. In order to avoid a loss of convergence order, the * adaptive theta scheme can be used, where #theta=½+c dt. * - * Assume that we want to solve the equation u' + Au = 0 with a + * Assume that we want to solve the equation u' + F(u) = 0 with a * step size k. A step of the theta scheme can be written as * * @f[ - * (M + \theta k A) u_{n+1} = (M - (1-\theta)k A) u_n. + * M u_{n+1} + \theta k F(u_{n+1}) = M u_n - (1-\theta)k F(u_n). * @f] * * Here, M is the mass matrix. We see, that the right hand side