Optimal L1-Rate of Convergence for The Viscosity Method and Monotone Scheme to Piecewise Constant Solutions with Shocks

DOI10.1137/S0036142995268862zbMath0873.65089OpenAlexW2028319149MaRDI QIDQ4340783

Zhen-Huan Teng, Pingwen Zhang

Publication date: 12 June 1997

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

Full work available at URL: https://doi.org/10.1137/s0036142995268862

zbMATH Keywords

convergenceconservation lawsentropy solutionnumerical exampleserror estimateviscosity methodmonotone difference scheme

Mathematics Subject Classification ID

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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