On L1 Convergence Rate of Viscous and Numerical Approximate Solutions of Genuinely Nonlinear Scalar Conservation Laws

DOI10.1137/S0036141097316408zbMath0922.65068MaRDI QIDQ4255759

Wei-Cheng Wang

Publication date: 27 June 1999

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

zbMATH Keywords

convergenceerror estimatesentropy solutionBurgers equationhyperbolic conservation lawsmonotone schemesHopf-Cole transformationviscosity methods

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)

Related Items (4)

Transient \(L^1\) error estimates for well-balanced schemes on non-resonant scalar balance laws ⋮ Construction of solutions and \(L^{1}\)-error estimates of viscous methods for scalar conservation laws with boundary ⋮ The inviscid limit of viscous Burgers at nondegenerate shock formation ⋮ The optimal convergence rate of monotone schemes for conservation laws in the Wasserstein distance

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