Viscous splitting approximation of mixed hyperbolic-parabolic convection-diffusion equations

DOI10.1007/s002110050441zbMath0961.65084OpenAlexW2017883116MaRDI QIDQ1805875

Steinar Evje, Kenneth Hvistendahl Karlsen

Publication date: 6 June 2001

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110050441

zbMATH Keywords

numerical examplesweak solutionsfinite difference schemesemidiscretizationnonlinear equationsfront tracking schemedegenerate, convection-diffusion equationsmixed hyperbolic-parabolic convection-diffusion equationssemidiscrete operator splitting method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs of mixed type (35M10) Degenerate parabolic equations (35K65) Second-order nonlinear hyperbolic equations (35L70) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Degenerate hyperbolic equations (35L80)

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