Invariant Imbedding: Proceedings of the Summer Workshop on Invariant Imbedding held at the University of Southern California, June – August 1970
Imbedding is a powerful and versatile tool for problem solving. Rather than treat a question in isolation, we view it as a member of a family of related problems. Each member then becomes a stepping stone in a path to a simultaneous solution of the entire set of problems. As might be expected, ther...
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1971
|
Ausgabe: | 1st ed. 1971 |
Schriftenreihe: | Lecture Notes in Economics and Mathematical Systems
52 |
Schlagworte: | |
Online-Zugang: | BTU01 Volltext |
Zusammenfassung: | Imbedding is a powerful and versatile tool for problem solving. Rather than treat a question in isolation, we view it as a member of a family of related problems. Each member then becomes a stepping stone in a path to a simultaneous solution of the entire set of problems. As might be expected, there are many ways of accomplishing this imbedding. Time and space variables have been widely employed in the past, while modern approaches combine these structural features with others less immediate. Why should one search for alternate imbeddings when elegant classical formalisms already exist? There are many reasons. To begin with, different imbeddings are useful for different purposes. Some are well suited to the derivation of existence and uniqueness theorems, some to the derivation of conservation relations, some to perturbation techniques and sensitivity analysis, some to computa tional studies. The digital computer is designed for initial value problems; the analog computer for boundary-value problems. It is essential then to be flexible and possess the ability to use one device or the other, or both. In economics, engineering, biology and physics, some pro cesses lend themselves more easily to one type of imbedding rather than another. Thus, for example, stochastic decision processes are well adapted to dynamic programming. In any case, to go hunting in the wilds of the scientific world armed with only one arrow in one's quiver is quite foolhardy |
Beschreibung: | 1 Online-Ressource (IV, 150 p) |
ISBN: | 9783642462740 |
DOI: | 10.1007/978-3-642-46274-0 |
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245 | 1 | 0 | |a Invariant Imbedding |b Proceedings of the Summer Workshop on Invariant Imbedding held at the University of Southern California, June – August 1970 |c edited by R.E. Bellman, E.D. Denman |
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520 | |a Imbedding is a powerful and versatile tool for problem solving. Rather than treat a question in isolation, we view it as a member of a family of related problems. Each member then becomes a stepping stone in a path to a simultaneous solution of the entire set of problems. As might be expected, there are many ways of accomplishing this imbedding. Time and space variables have been widely employed in the past, while modern approaches combine these structural features with others less immediate. Why should one search for alternate imbeddings when elegant classical formalisms already exist? There are many reasons. To begin with, different imbeddings are useful for different purposes. Some are well suited to the derivation of existence and uniqueness theorems, some to the derivation of conservation relations, some to perturbation techniques and sensitivity analysis, some to computa tional studies. The digital computer is designed for initial value problems; the analog computer for boundary-value problems. It is essential then to be flexible and possess the ability to use one device or the other, or both. In economics, engineering, biology and physics, some pro cesses lend themselves more easily to one type of imbedding rather than another. Thus, for example, stochastic decision processes are well adapted to dynamic programming. In any case, to go hunting in the wilds of the scientific world armed with only one arrow in one's quiver is quite foolhardy | ||
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Datensatz im Suchindex
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author2 | Bellman, R.E Denman, E.D |
author2_role | edt edt |
author2_variant | r b rb e d ed |
author_facet | Bellman, R.E Denman, E.D |
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dewey-full | 658.40301 |
dewey-hundreds | 600 - Technology (Applied sciences) |
dewey-ones | 658 - General management |
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discipline | Mathematik Wirtschaftswissenschaften |
discipline_str_mv | Mathematik Wirtschaftswissenschaften |
doi_str_mv | 10.1007/978-3-642-46274-0 |
edition | 1st ed. 1971 |
format | Electronic eBook |
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spelling | Invariant Imbedding Proceedings of the Summer Workshop on Invariant Imbedding held at the University of Southern California, June – August 1970 edited by R.E. Bellman, E.D. Denman 1st ed. 1971 Berlin, Heidelberg Springer Berlin Heidelberg 1971 1 Online-Ressource (IV, 150 p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Economics and Mathematical Systems 52 Imbedding is a powerful and versatile tool for problem solving. Rather than treat a question in isolation, we view it as a member of a family of related problems. Each member then becomes a stepping stone in a path to a simultaneous solution of the entire set of problems. As might be expected, there are many ways of accomplishing this imbedding. Time and space variables have been widely employed in the past, while modern approaches combine these structural features with others less immediate. Why should one search for alternate imbeddings when elegant classical formalisms already exist? There are many reasons. To begin with, different imbeddings are useful for different purposes. Some are well suited to the derivation of existence and uniqueness theorems, some to the derivation of conservation relations, some to perturbation techniques and sensitivity analysis, some to computa tional studies. The digital computer is designed for initial value problems; the analog computer for boundary-value problems. It is essential then to be flexible and possess the ability to use one device or the other, or both. In economics, engineering, biology and physics, some pro cesses lend themselves more easily to one type of imbedding rather than another. Thus, for example, stochastic decision processes are well adapted to dynamic programming. In any case, to go hunting in the wilds of the scientific world armed with only one arrow in one's quiver is quite foolhardy Operations Research/Decision Theory Operations research Decision making Optimierung (DE-588)4043664-0 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Einbettung Mathematik (DE-588)4151233-9 gnd rswk-swf Invariante Einbettung (DE-588)4162205-4 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1970 Los Angeles, Calif. gnd-content Einbettung Mathematik (DE-588)4151233-9 s DE-604 Optimierung (DE-588)4043664-0 s Invariante Einbettung (DE-588)4162205-4 s Kontrolltheorie (DE-588)4032317-1 s Bellman, R.E. edt Denman, E.D. edt Erscheint auch als Druck-Ausgabe 9783540055495 Erscheint auch als Druck-Ausgabe 9783642462757 https://doi.org/10.1007/978-3-642-46274-0 Verlag URL des Erstveröffentlichers Volltext |
spellingShingle | Invariant Imbedding Proceedings of the Summer Workshop on Invariant Imbedding held at the University of Southern California, June – August 1970 Operations Research/Decision Theory Operations research Decision making Optimierung (DE-588)4043664-0 gnd Kontrolltheorie (DE-588)4032317-1 gnd Einbettung Mathematik (DE-588)4151233-9 gnd Invariante Einbettung (DE-588)4162205-4 gnd |
subject_GND | (DE-588)4043664-0 (DE-588)4032317-1 (DE-588)4151233-9 (DE-588)4162205-4 (DE-588)1071861417 |
title | Invariant Imbedding Proceedings of the Summer Workshop on Invariant Imbedding held at the University of Southern California, June – August 1970 |
title_auth | Invariant Imbedding Proceedings of the Summer Workshop on Invariant Imbedding held at the University of Southern California, June – August 1970 |
title_exact_search | Invariant Imbedding Proceedings of the Summer Workshop on Invariant Imbedding held at the University of Southern California, June – August 1970 |
title_exact_search_txtP | Invariant Imbedding Proceedings of the Summer Workshop on Invariant Imbedding held at the University of Southern California, June – August 1970 |
title_full | Invariant Imbedding Proceedings of the Summer Workshop on Invariant Imbedding held at the University of Southern California, June – August 1970 edited by R.E. Bellman, E.D. Denman |
title_fullStr | Invariant Imbedding Proceedings of the Summer Workshop on Invariant Imbedding held at the University of Southern California, June – August 1970 edited by R.E. Bellman, E.D. Denman |
title_full_unstemmed | Invariant Imbedding Proceedings of the Summer Workshop on Invariant Imbedding held at the University of Southern California, June – August 1970 edited by R.E. Bellman, E.D. Denman |
title_short | Invariant Imbedding |
title_sort | invariant imbedding proceedings of the summer workshop on invariant imbedding held at the university of southern california june august 1970 |
title_sub | Proceedings of the Summer Workshop on Invariant Imbedding held at the University of Southern California, June – August 1970 |
topic | Operations Research/Decision Theory Operations research Decision making Optimierung (DE-588)4043664-0 gnd Kontrolltheorie (DE-588)4032317-1 gnd Einbettung Mathematik (DE-588)4151233-9 gnd Invariante Einbettung (DE-588)4162205-4 gnd |
topic_facet | Operations Research/Decision Theory Operations research Decision making Optimierung Kontrolltheorie Einbettung Mathematik Invariante Einbettung Konferenzschrift 1970 Los Angeles, Calif. |
url | https://doi.org/10.1007/978-3-642-46274-0 |
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