| Titre : | Deterministic and Stochastic Optimal Control and Inverse Problems |
| Auteurs : | Baasansuren Jadamba, Auteur ; Akhtar A. Khan, Auteur ; Stanisław Migórski,, Auteur |
| Type de document : | Monographie imprimée |
| Editeur : | CRC Press, 2024 |
| ISBN/ISSN/EAN : | 978-0-367-50631-5 |
| Format : | 1 vol. (394 p.) |
| Langues: | Anglais |
| Index. décimale : | 519. 7 |
| Résumé : |
Inverse problems of identifying parameters and initial/boundary conditions in deterministic and stochastic partial differential equations constitute a vibrant and emerging research area that has found numerous applications. A related problem of paramount importance is the optimal control problem for stochastic differential equations.
This edited volume comprises invited contributions from world-renowned researchers in the subject of control and inverse problems. There are several contributions on optimal control and inverse problems covering different aspects of the theory, numerical methods, and applications. Besides a unified presentation of the most recent and relevant developments, this volume also presents some survey articles to make the material self-contained. To maintain the highest level of scientific quality, all manuscripts have been thoroughly reviewed. |
| Sommaire : |
1. All-At-Once Formulation Meets the Bayesian Approach: A Study of Two Prototypical Linear Inverse Problems
Anna Schlintl and Barbara Kaltenbacher 2. On Iterated Tikhonov Kaczmarz Type Methods for Solving Systems of Linear Ill-posed Operator Equations R Filippozzi, JC Rabelo and A Leitão 3. On Numerical Approximation of Optimal Control for Stokes Hemivariational Inequalities Xiaoliang Cheng, Rongfang Gong and Weimin Han 4. Nonlinear Tikhonov Regularization in Hilbert Scales with Oversmoothing Penalty: Inspecting Balancing Principles Bernd Hofmann, Christopher Hofmann, Peter Mathé and Robert Plato 5. An Optimization Approach to Parameter Identification in Variational Inequalities of Second Kind-II Joachim Gwinner 6. Generalized Variational-hemivariational Inequalities in Fuzzy Environment Shengda Zeng , Jinxia Cen, Stanisław Migórski and Van Thien Nguyen 7. Boundary Stabilization of the Linear MGT Equation with Feedback Neumann Control Marcelo Bongarti and Irena Lasiecka 8. Sweeping Process Arguments in the Analysis and Control of a Contact Problem Mircea Sofonea and Yi-bin Xiao 9. Anderson Acceleration for Degenerate and Nondegenerate Problems Sara Pollock 10. Approximate Coincidence Points for Single-valued Maps and Aubin Continuous Set-valued Maps Mohamed Ait Mansour, Mohamed Amin Bahraoui and Adham El Bekkali 11. Stochastic Variational Approach for Random Cournot-Nash Principle Annamaria Barbagallo, Massimiliano Ferrara and Paolo Mauro 12. Augmented Lagrangian Methods For Optimal Control Problems Governed by Mixed Variational-Hemivariational Inequalities Involving a Set-valued Mapping O Chadli and RN Mohapatra 13. Data Driven Reconstruction Using Frames and Riesz Bases Andrea Aspri, Leon Frischauf, Yury Korolev and Otmar Scherzer 14. Antenna Problem Induced Regularization and Sampling Strategies Willi Freeden 15. An Equation Error Approach for Identifying a Random Parameter in a Stochastic Partial Differential Equation |
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