00672nam0 2200217 450 00001568320080829122906.020080829d1926----km-y0itay50------baengGBy-------001yyDiscriminating duties and the american merchant marineLLoyd W. MaxwellNew YorkH. W. Wilson1926238 p.21 cm382.719Maxwell,Lloyd W.631843ITUNIPARTHENOPE20080829RICAUNIMARC000015683382.7/1037061NAVA12008Discriminating duties and the american merchant marine1202573UNIPARTHENOPE03166oam 2200493 450 991030014700332120190911112726.03-658-04476-410.1007/978-3-658-04476-3(OCoLC)878127448(MiFhGG)GVRL6XCI(EXLCZ)99371000000007493120131118d2014 uy 0engurun|---uuuuatxtccrA direct method for parabolic PDE constrained optimization problems /Andreas Potschka1st ed. 2014.Heidelberg, Germany :Springer Spektrum,2014.1 online resource (xiv, 216 pages) illustrationsAdvances in Numerical Mathematics,1616-2994"ISSN: 1616-2994."3-658-04475-6 Includes bibliographical references.Parabolic PDE Constrained Optimization Problems -- Two-Grid Newton-Picard Inexact SQP -- Structure Exploiting Solution of QPs -- Applications and Numerical Results.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.   Contents ·         Parabolic PDE Constrained Optimization Problems ·         Two-Grid Newton-Picard Inexact SQP ·         Structure Exploiting Solution of QPs ·         Applications and Numerical Results       Target Groups ·         Researchers and students in the fields of mathematics, information systems, and scientific computing ·         Users with PDE constrained optimization problems, in particular in (bio-)chemical engineering   The Author Dr. Andreas Potschka is a postdoctoral researcher in the Simulation and Optimization group of Prof. Dr. Dres. h. c. Hans Georg Bock at the Interdisciplinary Center for Scientific Computing, Heidelberg University. He is the head of the research group Model-Based Optimizing Control.Vieweg+Teubner research.Advances in numerical mathematics.Mathematical modelsMathematicsMathematical models.Mathematics.510515515.353515/.353Potschka Andreasauthttp://id.loc.gov/vocabulary/relators/aut721208MiFhGGMiFhGGBOOK9910300147003321Direct method for parabolic PDE constrained optimization problems1409980UNINA