Fixed a type-o
A "wo" has been changed to a "we".
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@@ -69,7 +69,7 @@ The following section will give a brief outlook for the model equations
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we'll be using later on in the DL examples.
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we'll be using later on in the DL examples.
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We typically target continuous PDEs denoted by $\mathcal P^*$
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We typically target continuous PDEs denoted by $\mathcal P^*$
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whose solution is of interest in a spatial domain $\Omega \subset \mathbb{R}^d$ in $d \in {1,2,3} $ dimensions.
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whose solution is of interest in a spatial domain $\Omega \subset \mathbb{R}^d$ in $d \in {1,2,3} $ dimensions.
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In addition, wo often consider a time evolution for a finite time interval $t \in \mathbb{R}^{+}$.
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In addition, we often consider a time evolution for a finite time interval $t \in \mathbb{R}^{+}$.
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The corresponding fields are either d-dimensional vector fields, for instance $\mathbf{u}: \mathbb{R}^d \times \mathbb{R}^{+} \rightarrow \mathbb{R}^d$,
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The corresponding fields are either d-dimensional vector fields, for instance $\mathbf{u}: \mathbb{R}^d \times \mathbb{R}^{+} \rightarrow \mathbb{R}^d$,
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or scalar $\mathbf{p}: \mathbb{R}^d \times \mathbb{R}^{+} \rightarrow \mathbb{R}$.
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or scalar $\mathbf{p}: \mathbb{R}^d \times \mathbb{R}^{+} \rightarrow \mathbb{R}$.
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The components of a vector are typically denoted by $x,y,z$ subscripts, i.e.,
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The components of a vector are typically denoted by $x,y,z$ subscripts, i.e.,
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