The Error in Spatial Truncation for Systems of Parabolic Conservation Laws

DOI10.2307/2001136zbMath0676.35042OpenAlexW4249918636MaRDI QIDQ3831346

Hung-Ju Kuo

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2001136

zbMATH Keywords

rate of convergenceexistenceCauchy problemdissipationconservation lawstability conditionpolynomial decay rateexplicit finite difference schemesImplicit schemeschemical chromatographyflow of compressible fluids

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic systems (35K45)

Cites Work

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• Convergence of the viscosity method for isentropic gas dynamics
• Theory of functional differential equations. 2nd ed
• Invariant Regions for Systems of Conservation Laws
• A class of convergent finite difference schemes for certain nonlinear parabolic systems
• Length Dependence of Solutions of Fitzhugh-Nagumo Equations
• Error Bounds for Finite-Difference Approximations for a Class of Nonlinear Parabolic Systems

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