Long Time Behavior of Backward Difference Type Methods for Parabolic Equations with Memory in Banach Space
نویسندگان
چکیده
We show stability in a Banach space framework of backward Euler and second order backward diierence timestepping methods for a parabolic equation with memory. The results are applied to derive maximum norm stability estimates for piecewise linear nite element approximations in a plane spatial domain, which is accomplished by a new resolvent estimate for the discrete Laplacian. Error estimates are also given.
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