Titlebook: Operations Research Proceedings 2011; Selected Papers of t Diethard Klatte,Hans-Jakob Lüthi,Karl Schmedders Conference proceedings 2012 Spr

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https://doi.org/10.1007/978-3-642-29210-1Computational Economics; Energy, Environment and Climate; OR Applications in Industry; Optimization

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About error bounds in metric spacesThe paper presents a general primal space classification scheme of necessary and sufficient criteria for the error bound property incorporating the existing conditions. Several primal space derivative-like objects – slopes – are used to characterize the error bound property of extended-real-valued functions on metric sapces.

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On the controlling of liquid metal solidification in foundry practice value problem of the Stefan type. The optimal control problem was solved numerically using the gradient method. The gradient of the cost function was found with the help of the conjugate problem. The discreet conjugate problem was posed with the help of the Fast Automatic Differentiation technique.

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