Optimal control from theory to computer programs:
Gespeichert in:
Hauptverfasser: | , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Dordrecht <<[u.a.]>>
Kluwer
2003
|
Schriftenreihe: | Solid mechanics and its applications
111 |
Online-Zugang: | Inhaltsverzeichnis lizenzfrei Inhaltsverzeichnis Inhaltsverzeichnis |
Beschreibung: | X, 324 S. graph. Darst. |
ISBN: | 1402017715 |
Internformat
MARC
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700 | 1 | |a Neittaanmäki, Pekka |d 1951- |e Verfasser |0 (DE-588)132647702 |4 aut | |
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Datensatz im Suchindex
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adam_text | OPTIMAL CONTROL FROM THEORY TO COMPUTER PROGRAMS BY VIOREL ARNAEUTU
UNIVERSITY ALL. CUZA IASI, ROMANIA AND PEKKA NEITTAANMAEKI UNIVERSITY
OFJYVAESKYLAE, JYVAESKYLAE, FINLAND MI KLUWER ACADEMIC PUBLISHERS DORDRECHT
/ BOSTON / LONDON CONTENTS FOREWORD IX 1. SELECTED TOPICS FROM
FUNCTIONAL AND CONVEX ANALYSIS 1 1 DIFFERENTIABILITY TOPICS 1 2 CONVEX
FUNCTIONALS 9 2. OPTIMIZATION PROBLEMS 23 1 EXISTENCE AND UNIQUENESS
RESULTS FOR MINIMIZATION PROBLEMS 23 2 THE AZIMUTH MARK METHOD 28 3 THE
STEEPEST DESCENT METHOD 31 4 PROJECTION OPERATORS IN HUBERT SPACES 38 5
PROJECTED GRADIENT METHODS 40 3. NUMERICAL APPROXIMATION OF ELLIPTIC
VARIATIONAL PROBLEMS 47 1 AN EXAMPLE FROM FLUID MECHANICS PROBLEMS IN
MEDIA WITH SEMI-PERMEABLE BOUNDARIES 47 2 THE GENERAL FORM OF ELLIPTIC
VARIATIONAL INEQUALITIES 53 3 THE INTERNAL APPROXIMATION OF ELLIPTIC
VARIATIONAL INEQUALITIES 58 4 THE FINITE ELEMENT METHOD. ERROR ESTIMATES
64 5 OPTIMIZATION METHODS 75 5.1 THE SUCCESSIVE APPROXIMATIONS METHOD 75
5.2 THE PENALIZATION METHOD 76 5.3 THE LAGRANGE MULTIPLIERS METHOD 81 6
COMPUTER REALIZATION OF THE OPTIMIZATION METHODS 86 6.1 THE SEEPAGE FLOW
OF WATER THROUGH A HOMOGENEOUS RECTANGULAR DAM 87 6.2 THE SUCCESSIVE
APPROXIMATIONS METHOD 90 VI OPTIMAL CONTROL FROM THEORY TO COMPUTER
PROGRAMS 6.3 THE PENALIZATION METHOD 95 6.4 THE LAGRANGE MULTIPLIERS
METHOD 102 4. INDIRECT METHODS FOR OPTIMAL CONTROL PROBLEMS 109 1 THE
ELIMINATION OF THE STATE 109 2 AN OPTIMAL CONTROL PROBLEM RELATED TO THE
INVERSE STEFAN PROBLEM 117 2.1 THE ONE-PHASE STEFAN PROBLEM 117 2.2 THE
INVERSE STEFAN PROBLEM AND THE RELATED OPTIMAL CONTROL PROBLEM 120 2.3
THE NUMERICAL REALIZATION OF THE ALGORITHM ALG-R 127 3 OPTIMAL CONTROL
FOR A TWO-PHASE STEFAN PROBLEM 143 3.1 THE TWO-PHASE STEFAN PROBLEM 143
3.2 THE OPTIMAL CONTROL PROBLEM 150 3.3 A NUMERICAL ALGORITHM 158 5. A
CONTROL PROBLEM FOR A CLASS OF EPIDEMICS 163 1 STATEMENT OF THE CONTROL
PROBLEM 163 2 THE NUMERICAL REALIZATION OF THE ALGORITHM 171 6. OPTIMAL
CONTROL FOR PLATE PROBLEMS 185 1 DECOMPOSITION OF FOURTH ORDER ELLIPTIC
EQUATIONS 185 2 THE CLAMPED PLATE PROBLEM 187 3 OPTIMIZATION OF PLATES
200 4 A FOURTH-ORDER VARIATIONAL INEQUALITY 205 7. DIRECT NUMERICAL
METHODS FOR OPTIMAL CONTROL PROBLEMS 213 1 THE ABSTRACT OPTIMAL CONTROL
PROBLEM 214 2 THE QUADRATIC PROGRAMMING PROBLEM 215 3 INTERIOR-POINT
METHODS FOR THE SOLUTION OF PROBLEM (QP) 220 4 NUMERICAL SOLUTION OF THE
LINEAR SYSTEM 230 4.1 KRYLOV SUBSPACE ALGORITHMS 230 4.2 CONVERGENCE
PROPERTIES 233 4.3 THE IMPLEMENTATION OF THE ALGORITHMS 234 5
PRECONDITIONING 247 5.1 PRECONDITIONING FOR MINRES AND S YMMLQ 247 5.2
PRECONDITIONING FOR THE KKT SYSTEM 254 CONTENTS VN 8. STOCHASTIC CONTROL
PROBLEMS 269 1 STOCHASTIC PROCESSES 269 2 STOCHASTIC CONTROL PROBLEMS.
AN INTRODUCTION 281 3 THE HAMILTON-JACOBI-BELLMAN EQUATIONS 287 4 THE
MARKOV CHAIN APPROXIMATION 290 5 NUMERICAL ALGORITHMS 303 5.1
APPROXIMATION IN POLICY SPACE 304 5.2 APPROXIMATION IN VALUE SPACE 306
5.3 COMPUTATIONAL PROBLEMS 309 REFERENCES 315 TOPIC INDEX 319 AUTHOR
INDEX
|
any_adam_object | 1 |
author | Arnăutu, Viorel Neittaanmäki, Pekka 1951- |
author_GND | (DE-588)132647702 |
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building | Verbundindex |
bvnumber | BV024623374 |
ctrlnum | (OCoLC)249525730 (DE-599)GBV372490263 |
dewey-full | 515.642 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515.642 |
dewey-search | 515.642 |
dewey-sort | 3515.642 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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id | DE-604.BV024623374 |
illustrated | Illustrated |
indexdate | 2024-07-09T22:03:15Z |
institution | BVB |
isbn | 1402017715 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018595259 |
oclc_num | 249525730 |
open_access_boolean | |
owner | DE-83 |
owner_facet | DE-83 |
physical | X, 324 S. graph. Darst. |
publishDate | 2003 |
publishDateSearch | 2003 |
publishDateSort | 2003 |
publisher | Kluwer |
record_format | marc |
series | Solid mechanics and its applications |
series2 | Solid mechanics and its applications |
spelling | Arnăutu, Viorel Verfasser aut Optimal control from theory to computer programs by Viorel Arnăutu and Pekka Neittaanmäki Dordrecht <<[u.a.]>> Kluwer 2003 X, 324 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Solid mechanics and its applications 111 Neittaanmäki, Pekka 1951- Verfasser (DE-588)132647702 aut Solid mechanics and its applications 111 (DE-604)BV004342211 111 http://www.gbv.de/dms/ilmenau/toc/372490263.PDF lizenzfrei Inhaltsverzeichnis http://www.loc.gov/catdir/enhancements/fy0823/2003067419-d.html Publisher description lizenzfrei http://www.loc.gov/catdir/enhancements/fy0823/2003067419-t.html lizenzfrei Inhaltsverzeichnis GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018595259&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Arnăutu, Viorel Neittaanmäki, Pekka 1951- Optimal control from theory to computer programs Solid mechanics and its applications |
title | Optimal control from theory to computer programs |
title_auth | Optimal control from theory to computer programs |
title_exact_search | Optimal control from theory to computer programs |
title_full | Optimal control from theory to computer programs by Viorel Arnăutu and Pekka Neittaanmäki |
title_fullStr | Optimal control from theory to computer programs by Viorel Arnăutu and Pekka Neittaanmäki |
title_full_unstemmed | Optimal control from theory to computer programs by Viorel Arnăutu and Pekka Neittaanmäki |
title_short | Optimal control from theory to computer programs |
title_sort | optimal control from theory to computer programs |
url | http://www.gbv.de/dms/ilmenau/toc/372490263.PDF http://www.loc.gov/catdir/enhancements/fy0823/2003067419-d.html http://www.loc.gov/catdir/enhancements/fy0823/2003067419-t.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018595259&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV004342211 |
work_keys_str_mv | AT arnautuviorel optimalcontrolfromtheorytocomputerprograms AT neittaanmakipekka optimalcontrolfromtheorytocomputerprograms |
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