Adjoint Equations and Analysis of Complex Systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1995
|
| Schriftenreihe: | Mathematics and Its Applications
295 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | New statements of problems arose recently demanding thorough analysis. Notice, first of all, the statements of problems using adjoint equations which gradually became part of our life. Adjoint equations are capable to bring fresh ideas to various problems of new technology based on linear and nonlinear processes. They became part of golden fund of science through quantum mechanics, theory of nuclear reactors, optimal control, and finally helped in solving many problems on the basis of perturbation method and sensitivity theory. To emphasize the important role of adjoint problems in science one should mention four-dimensional analysis problem and solution of inverse problems. This range of problems includes first of all problems of global climate changes on our planet, state of environment and protection of environment against pollution, preservation of the biosphere in conditions of vigorous growth of population, intensive development of industry, and many others. All this required complex study of large systems: interaction between the atmosphere and oceans and continents in the theory of climate, cenoses in the biosphere affected by pollution of natural and anthropogenic origin. Problems of local and global perturbations and models sensitivity to input data join into common complex system |
| Beschreibung: | 1 Online-Ressource (X, 468 p) |
| ISBN: | 9789401706216 9789048144440 |
| DOI: | 10.1007/978-94-017-0621-6 |
Internformat
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| 500 | |a New statements of problems arose recently demanding thorough analysis. Notice, first of all, the statements of problems using adjoint equations which gradually became part of our life. Adjoint equations are capable to bring fresh ideas to various problems of new technology based on linear and nonlinear processes. They became part of golden fund of science through quantum mechanics, theory of nuclear reactors, optimal control, and finally helped in solving many problems on the basis of perturbation method and sensitivity theory. To emphasize the important role of adjoint problems in science one should mention four-dimensional analysis problem and solution of inverse problems. This range of problems includes first of all problems of global climate changes on our planet, state of environment and protection of environment against pollution, preservation of the biosphere in conditions of vigorous growth of population, intensive development of industry, and many others. All this required complex study of large systems: interaction between the atmosphere and oceans and continents in the theory of climate, cenoses in the biosphere affected by pollution of natural and anthropogenic origin. Problems of local and global perturbations and models sensitivity to input data join into common complex system | ||
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Datensatz im Suchindex
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| author | Marčuk, Gurij I. 1925-2013 |
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| author_facet | Marčuk, Gurij I. 1925-2013 |
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| author_sort | Marčuk, Gurij I. 1925-2013 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
| dewey-raw | 518 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-017-0621-6 |
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| indexdate | 2024-07-10T01:21:15Z |
| institution | BVB |
| isbn | 9789401706216 9789048144440 |
| language | English |
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| publishDate | 1995 |
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| series | Mathematics and Its Applications |
| series2 | Mathematics and Its Applications |
| spelling | Marčuk, Gurij I. 1925-2013 Verfasser (DE-588)119060701 aut Adjoint Equations and Analysis of Complex Systems by Guri I. Marchuk Dordrecht Springer Netherlands 1995 1 Online-Ressource (X, 468 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 295 New statements of problems arose recently demanding thorough analysis. Notice, first of all, the statements of problems using adjoint equations which gradually became part of our life. Adjoint equations are capable to bring fresh ideas to various problems of new technology based on linear and nonlinear processes. They became part of golden fund of science through quantum mechanics, theory of nuclear reactors, optimal control, and finally helped in solving many problems on the basis of perturbation method and sensitivity theory. To emphasize the important role of adjoint problems in science one should mention four-dimensional analysis problem and solution of inverse problems. This range of problems includes first of all problems of global climate changes on our planet, state of environment and protection of environment against pollution, preservation of the biosphere in conditions of vigorous growth of population, intensive development of industry, and many others. All this required complex study of large systems: interaction between the atmosphere and oceans and continents in the theory of climate, cenoses in the biosphere affected by pollution of natural and anthropogenic origin. Problems of local and global perturbations and models sensitivity to input data join into common complex system Computer science Electronic data processing Mathematics Environmental sciences Computer Science Numeric Computing Mathematical Modeling and Industrial Mathematics Applications of Mathematics Environment, general Datenverarbeitung Informatik Mathematik Adjungierte Differentialgleichung (DE-588)4401337-1 gnd rswk-swf Differenzierbares dynamisches System (DE-588)4137931-7 gnd rswk-swf Störungstheorie (DE-588)4128420-3 gnd rswk-swf Adjungierte Differentialgleichung (DE-588)4401337-1 s Differenzierbares dynamisches System (DE-588)4137931-7 s Störungstheorie (DE-588)4128420-3 s 1\p DE-604 Mathematics and Its Applications 295 (DE-604)BV008163334 295 https://doi.org/10.1007/978-94-017-0621-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Marčuk, Gurij I. 1925-2013 Adjoint Equations and Analysis of Complex Systems Mathematics and Its Applications Computer science Electronic data processing Mathematics Environmental sciences Computer Science Numeric Computing Mathematical Modeling and Industrial Mathematics Applications of Mathematics Environment, general Datenverarbeitung Informatik Mathematik Adjungierte Differentialgleichung (DE-588)4401337-1 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd Störungstheorie (DE-588)4128420-3 gnd |
| subject_GND | (DE-588)4401337-1 (DE-588)4137931-7 (DE-588)4128420-3 |
| title | Adjoint Equations and Analysis of Complex Systems |
| title_auth | Adjoint Equations and Analysis of Complex Systems |
| title_exact_search | Adjoint Equations and Analysis of Complex Systems |
| title_full | Adjoint Equations and Analysis of Complex Systems by Guri I. Marchuk |
| title_fullStr | Adjoint Equations and Analysis of Complex Systems by Guri I. Marchuk |
| title_full_unstemmed | Adjoint Equations and Analysis of Complex Systems by Guri I. Marchuk |
| title_short | Adjoint Equations and Analysis of Complex Systems |
| title_sort | adjoint equations and analysis of complex systems |
| topic | Computer science Electronic data processing Mathematics Environmental sciences Computer Science Numeric Computing Mathematical Modeling and Industrial Mathematics Applications of Mathematics Environment, general Datenverarbeitung Informatik Mathematik Adjungierte Differentialgleichung (DE-588)4401337-1 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd Störungstheorie (DE-588)4128420-3 gnd |
| topic_facet | Computer science Electronic data processing Mathematics Environmental sciences Computer Science Numeric Computing Mathematical Modeling and Industrial Mathematics Applications of Mathematics Environment, general Datenverarbeitung Informatik Mathematik Adjungierte Differentialgleichung Differenzierbares dynamisches System Störungstheorie |
| url | https://doi.org/10.1007/978-94-017-0621-6 |
| volume_link | (DE-604)BV008163334 |
| work_keys_str_mv | AT marcukguriji adjointequationsandanalysisofcomplexsystems |