Optimal control of partial differential equations (Record no. 567323)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02611 a2200289 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250113145621.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 250108b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783030772284 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | IIT Kanpur |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.353 |
| Item number | M319o |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Manzoni, Andrea |
| 245 ## - TITLE STATEMENT | |
| Title | Optimal control of partial differential equations |
| Remainder of title | analysis, approximation, and applications |
| Statement of responsibility, etc | Andrea Manzoni, Alfio Quarteroni and Sandro Salsa |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Name of publisher | Springer |
| Year of publication | 2021 |
| Place of publication | Switzerland |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xvii, 498p |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Applied mathematical sciences |
| 490 ## - SERIES STATEMENT | |
| Series statement | / edited by Anthony Bloch ... [et al.] |
| Volume number/sequential designation | v. 207 |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This is a book on optimal control problems (OCPs) for partial differential equations (PDEs) that evolved from a series of courses taught by the authors in the last few years at Politecnico di Milano, both at the undergraduate and graduate levels. The book covers the whole range spanning from the setup and the rigorous theoretical analysis of OCPs, the derivation of the system of optimality conditions, the proposition of suitable numerical methods, their formulation, their analysis, including their application to a broad set of problems of practical relevance. The first introductory chapter addresses a handful of representative OCPs and presents an overview of the associated mathematical issues. The rest of the book is organized into three parts: part I provides preliminary concepts of OCPs for algebraic and dynamical systems; part II addresses OCPs involving linear PDEs (mostly elliptic and parabolic type) and quadratic cost functions; part III deals with more general classes ofOCPs that stand behind the advanced applications mentioned above. Starting from simple problems that allow a “hands-on” treatment, the reader is progressively led to a general framework suitable to face a broader class of problems. Moreover, the inclusion of many pseudocodes allows the reader to easily implement the algorithms illustrated throughout the text. The three parts of the book are suitable to readers with variable mathematical backgrounds, from advanced undergraduate to Ph.D. levels and beyond. We believe that applied mathematicians, computational scientists, and engineers may find this book useful for a constructive approach toward the solution of OCPs in the context of complex applications. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Calculus of variations |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Control theory |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Differential equations, partial |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematical optimization |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Quarteroni, Alfio |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Salsa, Sandro |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Collection code | Permanent Location | Current Location | Date acquired | Source of acquisition | Cost, normal purchase price | Full call number | Accession Number | Cost, replacement price | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| On Display | PK Kelkar Library, IIT Kanpur | PK Kelkar Library, IIT Kanpur | 2025-01-13 | 60 | 4763.17 | 515.353 M319o | A186654 | 6350.89 | Books |