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==Advantages==
PWE expansions are rigorous solutions. PWE is extremely well suited to the modal solution problem. Large size problems can be solved using iterative techniques like [[Conjugate gradient method]].
For both generalized and normal eigen value problems, just a few band-index plots in the band-structure diagrams are required, usually lying on the [[brillouin zone edges]]. This corresponds to eigen modes solutions using iterative
==Disadvantages==
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