]> https://gitweb.dealii.org/ - dealii-svn.git/commitdiff
Change documentation for nonlinear problems
authorkanschat <kanschat@0785d39b-7218-0410-832d-ea1e28bc413d>
Thu, 15 May 2014 19:59:33 +0000 (19:59 +0000)
committerkanschat <kanschat@0785d39b-7218-0410-832d-ea1e28bc413d>
Thu, 15 May 2014 19:59:33 +0000 (19:59 +0000)
git-svn-id: https://svn.dealii.org/trunk@32910 0785d39b-7218-0410-832d-ea1e28bc413d

deal.II/include/deal.II/algorithms/theta_timestepping.h

index 43ade372dfbf9d6b930726255cb1aed5073f94dd..0bfec47e27e412db4d814b355c247e546beeae0f 100644 (file)
@@ -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 <i>#theta=½+c dt</i>.
    *
-   * Assume that we want to solve the equation <i>u' + Au = 0</i> with a
+   * Assume that we want to solve the equation <i>u' + F(u) = 0</i> with a
    * step size <i>k</i>.  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, <i>M</i> is the mass matrix. We see, that the right hand side

In the beginning the Universe was created. This has made a lot of people very angry and has been widely regarded as a bad move.

Douglas Adams


Typeset in Trocchi and Trocchi Bold Sans Serif.