Consistency of a large time-step scheme for mean curvature motion

M. Falcone and R. Ferretti
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M. Falcone: Università di Roma “La Sapienza”, Dipartimento di Matematica
R. Ferretti: Universitá di Roma Tre, Dipartimento di Matematica

A chapter in Numerical Mathematics and Advanced Applications, 2003, pp 495-502 from Springer

Abstract: Summary We propose a new scheme for the level set approximation of motion by mean curvature (MCM). The scheme originates from a representation formula recently given by Soner and Touzi, which allows us to construct large time-step, Godunov-type schemes. One such scheme is presented and its consistency is analyzed. We also provide and discuss some numerical tests.

Keywords: Viscosity Solution; Representation Formula; Level Curve; Finite Difference Approximation; Local Truncation Error (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-88-470-2089-4_46

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DOI: 10.1007/978-88-470-2089-4_46

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