Optimal Control of Partial Differential Equations
portes grátis
Optimal Control of Partial Differential Equations
Analysis, Approximation, and Applications
Quarteroni, Alfio; Salsa, Sandro; Manzoni, Andrea
Springer Nature Switzerland AG
12/2021
498
Dura
Inglês
9783030772253
15 a 20 dias
1157
Descrição não disponível.
1 Introduction: Representative Examples, Mathematical Structure.- Part I A Preview on Optimization and Control in Finite Dimensions.- 2 Prelude on Optimization: Finite Dimension Spaces.- 3 Algorithms for Numerical Optimization.- 4 Prelude on Control: The Case of Algebraic and ODE Systems.- Part II Linear-Quadratic Optimal Control Problems.- 5 Quadratic control problems governed by linear elliptic PDEs.- 6 Numerical Approximation of Linear-Quadratic OCPs.- 7 Quadratic Control Problems Governed by Linear Evolution PDEs.- 8 Numerical Approximation of Quadratic OCPs Governed by Linear Evolution PDEs.- Part III More general PDE-constrained optimization problems.- 9 A Mathematical Framework for Nonlinear OCPs.- 10 Advanced Selected Applications.- 11 Shape Optimization Problems.- Appendix A Toolbox of Functional Analysis.- Appendix B Toolbox of Numerical Analysis.
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Optimal control;Partial differential equations;Numerical approximation;Mathematical analysis;Scientific computing
1 Introduction: Representative Examples, Mathematical Structure.- Part I A Preview on Optimization and Control in Finite Dimensions.- 2 Prelude on Optimization: Finite Dimension Spaces.- 3 Algorithms for Numerical Optimization.- 4 Prelude on Control: The Case of Algebraic and ODE Systems.- Part II Linear-Quadratic Optimal Control Problems.- 5 Quadratic control problems governed by linear elliptic PDEs.- 6 Numerical Approximation of Linear-Quadratic OCPs.- 7 Quadratic Control Problems Governed by Linear Evolution PDEs.- 8 Numerical Approximation of Quadratic OCPs Governed by Linear Evolution PDEs.- Part III More general PDE-constrained optimization problems.- 9 A Mathematical Framework for Nonlinear OCPs.- 10 Advanced Selected Applications.- 11 Shape Optimization Problems.- Appendix A Toolbox of Functional Analysis.- Appendix B Toolbox of Numerical Analysis.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
