TVD scheme of second-order approximation on a nonstationary adaptive grid for hyperbolic systems

DOI10.1515/rnam-2001-0102zbMath0991.65084OpenAlexW2326303731MaRDI QIDQ2725342

V. B. Barakhnin

Publication date: 9 April 2002

Published in: Russian Journal of Numerical Analysis and Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/rnam-2001-0102

zbMATH Keywords

conservation lawsfinite difference schemeshallow water equationsadaptive gridstotal variation diminishinggas dynamics equationsnonoscillatory algorithms

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) 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)

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