论文信息 - On the smoothing property of the crank-nicolson scheme

On the smoothing property of the crank-nicolson scheme

The Crank-Nicolson scheme for discretizing linear parabolic equations converges at the rate of only o(1) in L 2 for initial data in L 2. It is shown that smoothing by adding four backward Euler steps to the scheme improves the convergence rate to 0(k 2/t 2). AMS(MOS): 65M10

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