Numerical solution of a hyperbolic free boundary problem with a method of characteristics

DOI10.1007/BF01400257zbMath0566.65087MaRDI QIDQ1059381

Martin Brokate

Publication date: 1985

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132984

zbMATH Keywords

numerical examplesquadratic convergencenonlinear boundary conditionsfront tracking methodlinear hyperbolic system

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Free boundary problems for PDEs (35R35) Method of contraction of the boundary for boundary value problems involving PDEs (65N45)

Cites Work

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• Convergence and stability in the numerical integration of ordinary differential equations
• Free boundaries in one-dimensional flow
• A free boundary problem arising in a kinematic wave model of channel flow with infiltration

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