Nonlinear geometric optics method-based multi-scale numerical schemes for a class of highly oscillatory transport equations

DOI10.1142/S0218202517500385zbMath1372.35256arXiv1605.09676OpenAlexW2963452565MaRDI QIDQ5365358

Nicolas Crouseilles, Mohammed Lemou, Shih Jin

Publication date: 6 October 2017

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.09676

zbMATH Keywords

Chapman-Enskog expansionnonlinear geometric opticssurface hoppinguniformly accurate numerical methodhighly oscillatory space-time

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) PDEs in connection with quantum mechanics (35Q40) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10) Initial value problems for first-order hyperbolic equations (35L03)

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