Estimates of Variable Stepsize Runge{kutta Methods for Sectorial Evolution Equations with Nonsmooth Data
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Pii: S0168-9274(01)00161-1
In this paper, we study time discretizations of fully nonlinear parabolic differential equations. Our analysis uses the fact that the linearization along the exact solution is a uniformly sectorial operator. We derive smooth and nonsmooth-data error estimates for the backward Euler method, and we prove convergence for strongly A(θ)stable Runge–Kutta methods. For the latter, the order of converg...
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تاریخ انتشار 2007