Invariant Discretization Schemes for the Shallow-Water Equations

DOI10.1137/120861187zbMath1263.76056arXiv1201.0498OpenAlexW1984539292MaRDI QIDQ4908659

Roman O. Popovych, Alexander Bihlo

Publication date: 6 March 2013

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.0498

zbMATH Keywords

adaptive mesh refinementshallow-water equationsLie symmetriesinvariant discretization schemesdifference invariants

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

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