On the consistency of Runge-Kutta methods up to order three applied to the optimal control of scalar conservation laws

DOI10.1007/978-3-319-90026-1_6zbMath1416.49029OpenAlexW2805954179WikidataQ115155121 ScholiaQ115155121MaRDI QIDQ1627488

Michael Hintermüller, Nikolai Strogies

Publication date: 30 November 2018

Full work available at URL: https://doi.org/10.1007/978-3-319-90026-1_6

zbMATH Keywords

optimal controlconservation lawsentropy solutionnumerical experimentsBurgers equationLax-Friedrichs schemediscretization methodsduality solutionEngquist-Osher schemeButcher arrayHeun's methodShu-Osher representationone-sided Lipschitz continuityreversible solutionRK methodsTVD-RK

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Discrete approximations in optimal control (49M25)

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