Pointwise Error Estimates for Relaxation Approximations to Conservation Laws

DOI10.1137/S0036141098349492zbMath0979.35098OpenAlexW2162486287MaRDI QIDQ2706216

Tao Tang, Eitan Tadmor

Publication date: 19 March 2001

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

Full work available at URL: https://doi.org/10.1137/s0036141098349492

zbMATH Keywords

maximum principlerelaxation methodoptimal convergence rateone-sided interpolation inequality

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Relaxation oscillations for ordinary differential equations (34C26)

Related Items (11)

Convergence of relaxation schemes for initial boundary value problems for conservation laws ⋮ Global Stability of Strong Rarefaction Waves of the Jin–Xin Relaxation Model for thep-System ⋮ Stringent error estimates for one-dimensional, space-dependent \(2\times 2\) relaxation systems ⋮ An error estimate for the parabolic approximation of multidimensional scalar conservation laws with boundary conditions ⋮ Construction of solutions and \(L^{1}\)-error estimates of viscous methods for scalar conservation laws with boundary ⋮ ON THE PIECEWISE SMOOTHNESS OF ENTROPY SOLUTIONS TO SCALAR CONSERVATION LAWS FOR A LARGER CLASS OF INITIAL DATA ⋮ Time discretizations for numerical optimisation of hyperbolic problems ⋮ Well-posedness and singular limit of a semilinear hyperbolic relaxation system with a two-scale discontinuous relaxation rate ⋮ The \(L^p\) stability of relaxation rarefaction profiles ⋮ Nonlinear stability of the relaxing schemes for scalar conservation laws ⋮ ON THE STABILITY OF NONLINEAR CONSERVATION LAWS IN THE HAUSDORFF METRIC

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