A modified particle method for semilinear hyperbolic systems with oscillatory solutions

DOI10.4310/MAA.2004.V11.N4.A8zbMath1100.65076OpenAlexW1965743928MaRDI QIDQ2503209

Razvan C. Fetecau, Thomas Yizhao Hou

Publication date: 14 September 2006

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/maa.2004.v11.n4.a8

zbMATH Keywords

convergencenumerical exampleshomogenizationmethod of characteristicssemilinear hyperbolic systemshighly oscillatory solutionsBroadwell modelCarleman model

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) 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) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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