The sentinel method and its application to environmental pollution problems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton [u.a.]
CRC Press
1997
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| Schriftenreihe: | CRC mathematical modelling series
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 204 S. graph. Darst. |
| ISBN: | 0849396301 |
Internformat
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Datensatz im Suchindex
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| adam_text | THE SENTINEL METHOD AND ITS APPLICATION TO ENVIRONMENTAL POLLUTION
PROBLEMS JEAN-PIERRE KERNEVEZ CRC PRESS BOCA RATON NEW YORK NOTATIONS
INTRODUCTION 1 IDENTIFICATION OF POLLUTION IN AN AQUIFER 1 1.1 MODELLING
POLLUTION TRANSPORT IN AN AQUIFER 1 1.2 A SENTINEL ATTACHED TO EACH
PARAMETER 6 1.3 EXAMPLES OF SIMILAR PROBLEMS 11 1.4 FLOW RATE 15 1.5
NUMERICAL EXPERIMENTS 19 1.6 SENTINELS AND PSEUDO-INVERSE 20 2
IDENTIFICATION OF POLLUTION IN A LAKE 23 2.1 POLLUTION OF A LAKE 23 2.2
SENTINELS 28 2.3 NUMERICAL EXPERIMENT 38 2.4 ADJOINT STATE 41 2.5
NUMERICAL DETAILS 48 2.6. HUM METHOD 50 2.7 TIME AND SPACE
DISCRETIZATION 52 2.8 OPTIMAL EMPLACEMENT OF SENSORS 55 3 RECTANGULAR
DOMAIN 59 3.1 PHYSICAL MOTIVATIONS 59 3.2 MODELING THE PHYSICAL SYSTEM
60 3.3 EXACT SOLUTION OF THE DIRECT PROBLEM 61 3.4 SENTINELS FOR
INVERSION 69 3.5 DIRECT METHOD 70 3.6 NUMERICAL EXPERIMENTS 71 3.7
SENSITIVITY TO THE SIZE OF THE OBSERVATORY 79 4 SENTINELS IN A RIVER 81
4.1 OXYGEN KINETICS AND POLLUTED WATER 81 4.2
CONVECTION-DISPERSION-REACTION EQUATION 84 4.3 EXACT SOLUTION OF STATE
EQUATION 85 4.4 SENTINELS FOR A RIVER (EVOLUTION REGIME) 89 4.5
NUMERICAL EXPERIMENTS 90 5 OUR FIRST NONLINEAR PROBLEM 97 5.1 LINEAR
CASE 97 5.2 NONLINEAR CASE 107 6 NONLINEAR PROBLEMS 125 6.1 POSITION OF
THE PROBLEM 125 6.2 SENTINELS OF THE LINEARIZED PROBLEM 127 6.3 BUILDING
THE GENERALIZED INVERSE 128 6.4 EXAMPLE 129 7 DISPERSION COEFFICIENTS
7.1 MOTIVATION 7.2 LINEARIZED SYSTEM 7.3 LINEARIZED SYSTEM SENTINELS 7.4
NONLINEAR PROBLEM 7.5 NUMERICAL RESULTS 8 POSITION OF A SOURCE 8.1
POSITION OF THE PROBLEM 8.2. LINEARIZATION 8.3 SENTINELS OF THE
LINEARIZED PROBLEM 8.4 NONLINEAR PROBLEM 8.5 NUMERICAL EXPERIMENTS 8.6
UNKNOWN POSITION AND FLOW RATE 8.7 SENTINELS OF THE LINEARIZED PROBLEM
8.8 SENTINELS OF THE LINEARIZED PROBLEM 8.9 MOVING SOURCE 9
RECAPITULATION 9.1 DEFINITIONS 9.2 INVERSE PROBLEMS 9.3 A CONVERGENCE
RESULT 9.4 GAUSS-NEWTON METHOD 10 SHALLOW WATERS 10.1 THE MOVEMENT OF
TIDES 10.2 NUMERICAL SOLUTION OF SHALLOW WATER EQUATIONS 10.3 WEAK
FORMULATION 10.4 REACTION-CONVECTION-DISPERSION EQUATIONS 10.5 SENTINELS
A APPENDIX: A. 1 SENTINELS WITH A GIVEN SENSITIVITY A.2 DUALITY A.3
EXISTENCE OF A SOLUTION AND FUNCTIONAL SPACES REFERENCES INDEX 135 135
138 140 142 144 151 152 153 154 155 156 158 160 162 162 169 169 171 173
176 179 179 182 182 182 184 187 187 190 194 197 177
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| indexdate | 2024-07-09T18:14:32Z |
| institution | BVB |
| isbn | 0849396301 |
| language | English |
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| physical | 204 S. graph. Darst. |
| publishDate | 1997 |
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| spelling | Kernevez, Jean-Pierre Verfasser aut The sentinel method and its application to environmental pollution problems Jean-Pierre Kernévez Boca Raton [u.a.] CRC Press 1997 204 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier CRC mathematical modelling series Mathematisches Modell Inverse problems (Differential equations) Least squares Water Pollution Mathematical models Umweltverschmutzung (DE-588)4186812-2 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Umweltverschmutzung (DE-588)4186812-2 s Mathematisches Modell (DE-588)4114528-8 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007901207&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kernevez, Jean-Pierre The sentinel method and its application to environmental pollution problems Mathematisches Modell Inverse problems (Differential equations) Least squares Water Pollution Mathematical models Umweltverschmutzung (DE-588)4186812-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4186812-2 (DE-588)4114528-8 |
| title | The sentinel method and its application to environmental pollution problems |
| title_auth | The sentinel method and its application to environmental pollution problems |
| title_exact_search | The sentinel method and its application to environmental pollution problems |
| title_full | The sentinel method and its application to environmental pollution problems Jean-Pierre Kernévez |
| title_fullStr | The sentinel method and its application to environmental pollution problems Jean-Pierre Kernévez |
| title_full_unstemmed | The sentinel method and its application to environmental pollution problems Jean-Pierre Kernévez |
| title_short | The sentinel method and its application to environmental pollution problems |
| title_sort | the sentinel method and its application to environmental pollution problems |
| topic | Mathematisches Modell Inverse problems (Differential equations) Least squares Water Pollution Mathematical models Umweltverschmutzung (DE-588)4186812-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Mathematisches Modell Inverse problems (Differential equations) Least squares Water Pollution Mathematical models Umweltverschmutzung |
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