A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations

DOI10.1137/0733001zbMath0876.65064OpenAlexW2073378999MaRDI QIDQ4875487

Alain-Yves Le Roux, James M. Greenberg

Publication date: 11 November 1997

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0733001

zbMATH Keywords

convergence numerical examples conservation law shallow water equation steady state solution source term discrete steady state

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) 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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