Spectral Methods for Nonlinear Parabolic Systems
نویسنده
چکیده
Many physical problems are naturally formulated as nonlinear par-abolic systems of partial diierential equations in periodic geometry. In this paper, a simple, eecient, spectrally-accurate numerical method for these problems is described and implemented. The method combines stii extrapolation with fast solvers for elliptic systems. Theory and numerical results show that the method solves even diicult problems including phase eld models and mean curvature ows.
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