2.3.1 Discretization in space: wishlist

• We want: representation of ``real'' distribution of $\rho$ (, $\ensuremath{\mathchoice{\mbox{\boldmath$v_{}$}} {\mbox{\boldmath$v_{}$}} {\mbox{\boldmath$v_{}$}} {\mbox{\boldmath$\scriptscriptstyle v_{}$}}}$, $e_{\rm i}$) by finite set of numbers
• We need: restriction: transformation continuous values $\rightarrow$ discrete representation
• We need: reconstruction: transformation discrete representation$\rightarrow$ continuous values
• We get: hints for the discretization of the spatial and temporal operators

Concepts of ``restriction'' and ``reconstruction'' are often used during the construction or analysis of a numerical scheme.

These concepts might not show up in the actual algorithm: different concepts may result in the very same scheme.