Numerical approximation of exact controls for waves:
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Datensatz im Suchindex
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| adam_text | NUMERICAL APPROXIMATION OF EXACT CONTROLS FOR WAVES
/ ERVEDOZA, SYLVAIN
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1.NUMERICAL APPROXIMATION OF EXACT CONTROLS FOR WAVES
2.THE DISCRETE 1-D WAVE EQUATION
3.CONVERGENCE FOR HOMOGENEOUS BOUNDARY CONDITIONS
4.CONVERGENCE WITH NON-HOMOGENEOUS DATA
5. FURTHER COMMENTS AND OPEN PROBLEMS
REFERENCES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
NUMERICAL APPROXIMATION OF EXACT CONTROLS FOR WAVES
/ ERVEDOZA, SYLVAIN
: 2013
ABSTRACT / INHALTSTEXT
THIS BOOK IS DEVOTED TO FULLY DEVELOPING AND COMPARINGTHE TWO MAIN
APPROACHES TO THE NUMERICAL APPROXIMATION OF CONTROLS FOR WAVE
PROPAGATION PHENOMENA: THE CONTINUOUS AND THE DISCRETE.THIS IS
ACCOMPLISHEDIN THE ABSTRACT FUNCTIONAL SETTING OF CONSERVATIVE
SEMIGROUPS.THE MAIN RESULTS OF THE WORK UNIFY, TO A LARGE EXTENT, THESE
TWOAPPROACHES, WHICH YIELDSIMILARALGORITHMS AND CONVERGENCE RATES.
THE DISCRETE APPROACH, HOWEVER, GIVESNOT ONLY EFFICIENT NUMERICAL
APPROXIMATIONS OF THE CONTINUOUS CONTROLS, BUT ALSO ENSURES SOME PARTIAL
CONTROLLABILITY PROPERTIESOF THE FINITE-DIMENSIONAL APPROXIMATED
DYNAMICS. MOREOVER, IT HASTHEADVANTAGE OF LEADING TO ITERATIVE
APPROXIMATION PROCESSES THAT CONVERGE WITHOUT A LIMITING THRESHOLD IN
THE NUMBER OF ITERATIONS. SUCH A THRESHOLD, WHICH IS HARD TO COMPUTE AND
ESTIMATE IN PRACTICE, IS A DRAWBACK OF THE METHODS EMANATING FROM THE
CONTINUOUS APPROACH.TO COMPLEMENT THIS THEORY, THE BOOK PROVIDES
CONVERGENCE RESULTS FOR THE DISCRETE WAVE EQUATION WHEN DISCRETIZED
USING FINITE DIFFERENCES AND PROVES THE CONVERGENCE OF THE DISCRETE WAVE
EQUATION WITH NON-HOMOGENEOUS DIRICHLET CONDITIONS. THE FIRST BOOK TO
EXPLORE THESE TOPICS IN DEPTH, ON THE NUMERICAL APPROXIMATIONS OF
CONTROLS FOR WAVES HAS RICH APPLICATIONS TO DATA ASSIMILATION PROBLEMS
ANDWILL BE OF INTEREST TO RESEARCHERS WHO DEAL WITH WAVE
APPROXIMATIONS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| author | Ervedoza, Sylvain Zuazua, Enrique |
| author_facet | Ervedoza, Sylvain Zuazua, Enrique |
| author_role | aut aut |
| author_sort | Ervedoza, Sylvain |
| author_variant | s e se e z ez |
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| bvnumber | BV040912632 |
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| dewey-full | 511.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.4 |
| dewey-search | 511.4 |
| dewey-sort | 3511.4 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4614-5808-1 |
| format | Electronic eBook |
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| spellingShingle | Ervedoza, Sylvain Zuazua, Enrique Numerical approximation of exact controls for waves |
| title | Numerical approximation of exact controls for waves |
| title_auth | Numerical approximation of exact controls for waves |
| title_exact_search | Numerical approximation of exact controls for waves |
| title_full | Numerical approximation of exact controls for waves Sylvain Ervedoza ; Enrique Zuazua |
| title_fullStr | Numerical approximation of exact controls for waves Sylvain Ervedoza ; Enrique Zuazua |
| title_full_unstemmed | Numerical approximation of exact controls for waves Sylvain Ervedoza ; Enrique Zuazua |
| title_short | Numerical approximation of exact controls for waves |
| title_sort | numerical approximation of exact controls for waves |
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