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Adjoint IMEX-based schemes for control problems governed by hyperbolic conservation laws

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  • Mapundi Banda
  • Michael Herty

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  • Mapundi Banda & Michael Herty, 2012. "Adjoint IMEX-based schemes for control problems governed by hyperbolic conservation laws," Computational Optimization and Applications, Springer, vol. 51(2), pages 909-930, March.
    • Handle: RePEc:spr:coopap:v:51:y:2012:i:2:p:909-930
    DOI: 10.1007/s10589-010-9362-2
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    References listed on IDEAS

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    1. Dieter Armbruster & Daniel E. Marthaler & Christian Ringhofer & Karl Kempf & Tae-Chang Jo, 2006. "A Continuum Model for a Re-entrant Factory," Operations Research, INFORMS, vol. 54(5), pages 933-950, October.
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    Cited by:

    1. David Frenzel & Jens Lang, 2021. "A third-order weighted essentially non-oscillatory scheme in optimal control problems governed by nonlinear hyperbolic conservation laws," Computational Optimization and Applications, Springer, vol. 80(1), pages 301-320, September.
    2. Jack Reilly & Samitha Samaranayake & Maria Laura Delle Monache & Walid Krichene & Paola Goatin & Alexandre M. Bayen, 2015. "Adjoint-Based Optimization on a Network of Discretized Scalar Conservation Laws with Applications to Coordinated Ramp Metering," Journal of Optimization Theory and Applications, Springer, vol. 167(2), pages 733-760, November.
    3. Alina Chertock & Michael Herty & Alexander Kurganov, 2014. "An Eulerian–Lagrangian method for optimization problems governed by multidimensional nonlinear hyperbolic PDEs," Computational Optimization and Applications, Springer, vol. 59(3), pages 689-724, December.

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