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he section (
Finite element
) covers
transforming parabolic PDE into a multidimensional ODE. In this section we
treat time discretization. There are two different situations. If the spacial
operator is not dependent on time then there is a technique that resolves the
problem in few steps that may be executed in parallel. If the spacial operator
does depend on time then there is a time-stepping procedure that is
significantly less efficient than the time-independent technique. For this
reason we first remark on possibility to remove time dependency from the
spacial operator.
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