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Talk abstract:
Preservation under discretization of invariant rectangles for
solutions of reaction-diffusion equations
Donald J. Estep, Georgia Inst. of Technology
The existence of invariant rectangles for solutions of
reaction-diffusion equations has powerful consequences for
the analysis of these problems. Likewise, the existence of
invariant rectangles for numerical solutions has strong
consequences on the behavior of the approximation. We
explain some of these, especially with respect to estimation
of the error, and then describe two ways to perserve
invariant rectangles under discretization.
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