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Approximation of nonlinear parabolic equations using a family of conformal and non-conformal schemes

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  • We consider a family of space discretisations for the approximation of nonlinear parabolic equations, such as the regularised mean curvature flow level set equation, using semi-implicit or fully implicit time schemes. The approximate solution provided by such a scheme is shown to converge thanks to compactness and monotony arguments. Numerical examples show the accuracy of the method.
    Mathematics Subject Classification: Primary: 65M08; Secondary: 35K93.


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