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} |