Accurate numerical scheme for the flow by curvature

DOI10.1016/0893-9659(94)90056-6zbMath0792.65100OpenAlexW2074349314WikidataQ57535381 ScholiaQ57535381MaRDI QIDQ1324449

V. Pereyra

Publication date: 24 May 1994

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(94)90056-6

zbMATH Keywords

convergencenumerical examplefinite difference schememoving boundary problemsflow by curvature

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05)

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Cites Work

• Numerical algorithms for propagating interfaces: Hamilton-Jacobi equations and conservation laws
• An algorithm for evolutionary surfaces
• The heat equation shrinking convex plane curves
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• The heat equation shrinks embedded plane curves to round points