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A Direct Method for Parabolic PDE Constrained Optimization Problems - Andreas Potschka

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2013-12-13
63,51 € 84,68 €

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Andreas Potschka discusses a direct multiple shooting method for dynamic optimization problems constrained by nonlinear, possibly time-periodic, parabolic partial differential equations. In contrast to indirect methods, this approach automatically computes adjoint derivatives without requiring the user to formulate adjoint equations, which can be time-consuming and error-prone. The author describes and anal ... Visas aprašymas

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Andreas Potschka discusses a direct multiple shooting method for dynamic optimization problems constrained by nonlinear, possibly time-periodic, parabolic partial differential equations. In contrast to indirect methods, this approach automatically computes adjoint derivatives without requiring the user to formulate adjoint equations, which can be time-consuming and error-prone. The author describes and analyzes in detail a globalized inexact Sequential Quadratic Programming method that exploits the mathematical structures of this approach and problem class for fast numerical performance. The book features applications, including results for a real-world chemical engineering separation problem.

Daugiau informacijos

Autorius Andreas Potschka
Leidėjas Springer Fachmedien Wiesbaden
Series Advances in Numerical Mathematics
Išleidimo metai 2013
Viršelio tipas Minkšti viršeliai
EAN 9783658044756
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63,51 € 84,68 €