000 04403nam a22006015i 4500
001 978-3-0348-0631-2
003 DE-He213
005 20140220082836.0
007 cr nn 008mamaa
008 130611s2013 sz | s |||| 0|eng d
020 _a9783034806312
_9978-3-0348-0631-2
024 7 _a10.1007/978-3-0348-0631-2
_2doi
050 4 _aQA315-316
050 4 _aQA402.3
050 4 _aQA402.5-QA402.6
072 7 _aPBKQ
_2bicssc
072 7 _aPBU
_2bicssc
072 7 _aMAT005000
_2bisacsh
072 7 _aMAT029020
_2bisacsh
082 0 4 _a515.64
_223
100 1 _aBredies, Kristian.
_eeditor.
245 1 0 _aControl and Optimization with PDE Constraints
_h[electronic resource] /
_cedited by Kristian Bredies, Christian Clason, Karl Kunisch, Gregory Winckel.
264 1 _aBasel :
_bSpringer Basel :
_bImprint: Birkhäuser,
_c2013.
300 _aX, 215 p. 43 illus., 29 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aInternational Series of Numerical Mathematics ;
_v164
505 0 _aPreface -- An Adaptive POD Approximation Method for the Control of Advection-Diffusion Equations (A. Alla and M. Falcone) -- Generalized Sensitivity Analysis for Delay Differential Equations (H. T. Banks, D. Robbins and K. L. Sutton) -- Regularity and Unique Existence of Solution to Linear Diffusion Equation with Multiple Time-Fractional Derivatives (S. Beckers and M. Yamamoto) -- Nonsmooth Optimization Method and Sparsity (K. Ito) -- Parareal in Time Intermediate Targets Methods for Optimal Control Problem (Y. Maday, M -- K. Riahi and J. Solomon) -- Hamilton–Jacobi–Bellman Equations on Multi-Domains (Z. Rao and H. Zidani) -- Gradient Computation for Model Calibration with Pointwise Observations (E. W. Sachs and M. Schu) -- Numerical Analysis of POD A-Posteriori Error Estimation for Optimal Control (A. Studinger and S. Volkwein) -- Cubature on C1 Space (G. Turinici) -- A Globalized Newton Method for the Optimal Control of Fermionic Systems (G. von Winckel) -- A Priori Error Estimates for Optimal Control Problems with Constraints on the Gradient of the State on Nonsmooth Polygonal Domains (W. Wollner).
520 _aMany mathematical models of physical, biological and social systems involve partial differential equations (PDEs). The desire to understand and influence these systems naturally leads to considering problems of control and optimization. This book presents important topics in the areas of control of PDEs and of PDE-constrained optimization, covering the full spectrum from analysis to numerical realization and applications. Leading scientists address current topics such as non-smooth optimization, Hamilton–Jacobi–Bellmann equations, issues in optimization and control of stochastic partial differential equations, reduced-order models and domain decomposition, discretization error estimates for optimal control problems, and control of quantum-dynamical systems. These contributions originate from the “International Workshop on Control and Optimization of PDEs” in Mariatrost in October 2011. This book is an excellent resource for students and researchers in control or optimization of differential equations. Readers interested in theory or in numerical algorithms will find this book equally useful.
650 0 _aMathematics.
650 0 _aDifferential equations, partial.
650 0 _aComputer science
_xMathematics.
650 0 _aNumerical analysis.
650 0 _aMathematical optimization.
650 1 4 _aMathematics.
650 2 4 _aCalculus of Variations and Optimal Control; Optimization.
650 2 4 _aPartial Differential Equations.
650 2 4 _aComputational Mathematics and Numerical Analysis.
650 2 4 _aCalculus of Variations and Optimal Control; Optimization.
650 2 4 _aNumerical Analysis.
700 1 _aClason, Christian.
_eeditor.
700 1 _aKunisch, Karl.
_eeditor.
700 1 _aWinckel, Gregory.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783034806305
830 0 _aInternational Series of Numerical Mathematics ;
_v164
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-0348-0631-2
912 _aZDB-2-SMA
999 _c96319
_d96319