/[escript]/trunk/doc/user/diffusion.tex
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revision 659 by gross, Thu Mar 23 00:41:25 2006 UTC revision 660 by gross, Fri Mar 24 08:43:21 2006 UTC
# Line 82  $t^{(0)}=0$ and  $t^{(n)}=t^{(n-1)}+h$ w Line 82  $t^{(0)}=0$ and  $t^{(n)}=t^{(n-1)}+h$ w
82  In the following the upper index ${(n)}$ refers to a value at time $t^{(n)}$. The simplest  In the following the upper index ${(n)}$ refers to a value at time $t^{(n)}$. The simplest
83  and most robust scheme to approximate the time derivative of the the temperature is  and most robust scheme to approximate the time derivative of the the temperature is
84  the backward Euler  the backward Euler
85  \index{backward Euler} scheme, see~\cite{XXX} for alternatives. The backward Euler  \index{backward Euler} scheme. The backward Euler
86  scheme is based  scheme is based
87  on the Taylor expansion of $T$ at time $t^{(n)}$:  on the Taylor expansion of $T$ at time $t^{(n)}$:
88  \begin{equation}  \begin{equation}

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