Monotone discretizations of levelset convex geometric PDEs

We introduce a novel algorithm that converges to level set convex viscosity solutions of high-dimensional Hamilton–Jacobi equations. The algorithm is applicable to a broad class of curvature motion PDEs, as well as a recently developed Hamilton–Jacobi equation for the Tukey depth, which is a statist...

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Bibliographic Details
Published in:	Numerische Mathematik Vol. 156; no. 6; pp. 1987 - 2029
Main Authors:	Calder, Jeff, Lee, Wonjun
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2024 Springer Nature B.V
Subjects:	Algorithms Approximation Cloud point curves Data points Discretization Hamilton-Jacobi equation Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Numerical Analysis Numerical and Computational Physics Partial differential equations Simulation Theoretical Two dimensional analysis Two dimensional flow 65N25: Numerical methods for eigenvalue problems for boundary value problems involving PDEs 35F21: Hamilton-Jacobi equations 35D40: Viscosity solutions to PDEs
ISSN:	0029-599X, 0945-3245
Online Access:	Get full text
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