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Convergent filtered scheme for the Monge-Amp\`ere Equation. (arXiv:1807.04866v1 [math.NA])
来源于:arXiv
We propose an extension to our monotone and convergent method for the
Monge-Amp\`{e}re equation in dimension $d \geq2$, that incorporates the idea of
filtered schemes. The method combines our original monotone operator with a
more accurate non-monotone modification, using an appropriately chosen filter.
This results in a remarkable improvement of accuracy, but without sacrificing
the convergence to the unique viscosity solution. 查看全文>>