From: Wolfgang Bangerth Date: Thu, 7 Oct 2021 23:26:55 +0000 (-0600) Subject: Minor adjustments to the IDA documentation. X-Git-Tag: v9.4.0-rc1~956^2 X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=refs%2Fpull%2F12801%2Fhead;p=dealii.git Minor adjustments to the IDA documentation. --- diff --git a/include/deal.II/sundials/ida.h b/include/deal.II/sundials/ida.h index babec71de6..16f6f5070c 100644 --- a/include/deal.II/sundials/ida.h +++ b/include/deal.II/sundials/ida.h @@ -163,16 +163,17 @@ namespace SUNDIALS * * That is $F(y', y, t) = y' + A y = 0 $ * where + * A = * \f[ - * \begin{matrix} + * \begin{pmatrix} * 0 & -1 \\ * k^2 &0 - * \end{matrix} + * \end{pmatrix} * \f] * and $y(0)=(0, k)$, $y'(0) = (k, 0)$. * - * The exact solution is $y_0(t) = \sin(k t)$, $y_1(t) = y_0'(t) = k \cos(k - *t)$, $y_1'(t) = -k^2 \sin(k t)$. + * The exact solution is $y_0(t) = \sin(k t)$, $y_1(t) = y_0'(t) + * = k \cos(k t)$, $y_1'(t) = -k^2 \sin(k t)$. * * The Jacobian to assemble is the following: $J = \alpha I + A$. *