Summary
In summary, we have defined the following terms from the analysis of finite-difference schemes for the linear shift-invariant case with constant sampling rates:
- PDE well posed
PDE at least marginally stable
- FDS consistent
FDS shift operator
PDE operator as
- FDS stable
stable or marginally stable as a digital filter
- FDS strictly stable
stable as a digital filter
- FDS marginally stable
marginally stable as a digital filter

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Passivity of a Finite-Difference Scheme