Ebook: Analysis and Algorithms of Optimization Problems

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Content:
Front Matter....Pages -
Differential stability of projection in Hilbert space onto convex set. Applications to sensitivity analysis of optimal control problems....Pages 1-37
Sensitivity of solutions to convex optimal control problems for parabolic equations....Pages 38-60
Parametric optimization problems for evolution initial - boundary value problems....Pages 61-87
Finite element approximation of an optimal design problem for free vibrating plates....Pages 88-110
The design of a two-dimensional domain....Pages 111-134
Numerical treatment of variational inequality governing multidimensional two-phase stefan problem....Pages 135-162
Improvement of an algorithm for the computation of optimal control....Pages 163-167
Quasi-optimal feedback for linear differential games....Pages 168-184
Suboptimal strategies for Nash nonlinear differential games....Pages 185-202
Quasi — Subgradient algorithms for calculating surrogate constraints....Pages 203-236

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Content:
Front Matter....Pages -
Differential stability of projection in Hilbert space onto convex set. Applications to sensitivity analysis of optimal control problems....Pages 1-37
Sensitivity of solutions to convex optimal control problems for parabolic equations....Pages 38-60
Parametric optimization problems for evolution initial - boundary value problems....Pages 61-87
Finite element approximation of an optimal design problem for free vibrating plates....Pages 88-110
The design of a two-dimensional domain....Pages 111-134
Numerical treatment of variational inequality governing multidimensional two-phase stefan problem....Pages 135-162
Improvement of an algorithm for the computation of optimal control....Pages 163-167
Quasi-optimal feedback for linear differential games....Pages 168-184
Suboptimal strategies for Nash nonlinear differential games....Pages 185-202
Quasi — Subgradient algorithms for calculating surrogate constraints....Pages 203-236
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