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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