The Immersed Interface Method for Nonlinear Differential Equations with Discontinuous Coefficients and Singular Sources

DOI10.1137/S003614299529378XzbMath0913.65076OpenAlexW1996432343MaRDI QIDQ4389120

Andreas Wiegmann, Kenneth P. Bube

Publication date: 11 May 1998

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s003614299529378x

zbMATH Keywords

discontinuous coefficientsquasilinear parabolic equationsfinite difference methodsimmersed interface methodtraffic flowCrank-Nicholson time discretizationnonlinear implicit methods

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) PDEs with low regular coefficients and/or low regular data (35R05) Traffic problems in operations research (90B20)

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