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parabolic PDEs (Ch9) (problem (Ch9.0) (weak formulation (in space,…

- - - - new variable for \(u(T)\)
      - both well posed
      - restrict test-space
    - - Initial value is end of previous time-slab
      - first mesh \( \mathcal{T}\)
      - 2nd mesh-dependent form.
    - - A- stable
      - L-stable
- - - - unstable when time step \( \tau>h^2 \)
      - left-sided rectangle rule
    - - Convergence of time discretization method/Err of implicit method (Th120)
      - satisfies difference eq. (Le118)
      - A-stable
      - right-sided rectangle rule