Finite-difference approximation of a one-dimensional Hamilton-Jacobi/elliptic system arising in superconductivity

DOI10.1093/imanum/22.1.89zbMath0991.35092OpenAlexW2118146194MaRDI QIDQ2783766

J. R. Claisse, Amy J. Briggs, Charles M. Elliott

Publication date: 17 April 2002

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/23a19561db6ffccfde3e7f52baae6331057b2b70

zbMATH Keywords

viscosity solutionsfinite-difference approximationsmonotone schemesnon-local Hamilton-Jacobi equationelliptic-hyperbolic systemvortex density models for type II superconductors

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of superconductors (82D55) Finite difference methods for boundary value problems involving PDEs (65N06) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

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