Quasidifferentiability and Nonsmooth Modelling in Mechanics, Engineering and Economics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
1996
|
| Schriftenreihe: | Nonconvex Optimization and Its Applications
10 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Nonsmooth energy functions govern phenomena which occur frequently in nature and in all areas of life. They constitute a fascinating subject in mathematics and permit the rational understanding of yet unsolved or partially solved questions in mechanics, engineering and economics. This is the first book to provide a complete and rigorous presentation of the quasidifferentiability approach to nonconvex, possibly nonsmooth, energy functions, of the derivation and study of the corresponding variational expressions in mechanics, engineering and economics, and of their numerical treatment. The new variational formulations derived are illustrated by many interesting numerical problems. The techniques presented will permit the reader to check any solution obtained by other heuristic techniques for nonconvex, nonsmooth energy problems. A civil, mechanical or aeronautical engineer can find in the book the only existing mathematically sound technique for the formulation and study of nonconvex, nonsmooth energy problems. Audience: The book will be of interest to pure and applied mathematicians, physicists, researchers in mechanics, civil, mechanical and aeronautical engineers, structural analysts and software developers. It is also suitable for graduate courses in nonlinear mechanics, nonsmooth analysis, applied optimization, control, calculus of variations and computational mechanics |
| Beschreibung: | 1 Online-Ressource (XVIII, 349 p) |
| ISBN: | 9781461541134 9781461368441 |
| ISSN: | 1571-568X |
| DOI: | 10.1007/978-1-4615-4113-4 |
Internformat
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| 100 | 1 | |a Dem’yanov, Vladimir F. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Quasidifferentiability and Nonsmooth Modelling in Mechanics, Engineering and Economics |c by Vladimir F. Dem’yanov, Georgios E. Stavroulakis, Ludmila N. Polyakova, Panagiotis D. Panagiotopoulos |
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| 500 | |a Nonsmooth energy functions govern phenomena which occur frequently in nature and in all areas of life. They constitute a fascinating subject in mathematics and permit the rational understanding of yet unsolved or partially solved questions in mechanics, engineering and economics. This is the first book to provide a complete and rigorous presentation of the quasidifferentiability approach to nonconvex, possibly nonsmooth, energy functions, of the derivation and study of the corresponding variational expressions in mechanics, engineering and economics, and of their numerical treatment. The new variational formulations derived are illustrated by many interesting numerical problems. The techniques presented will permit the reader to check any solution obtained by other heuristic techniques for nonconvex, nonsmooth energy problems. A civil, mechanical or aeronautical engineer can find in the book the only existing mathematically sound technique for the formulation and study of nonconvex, nonsmooth energy problems. Audience: The book will be of interest to pure and applied mathematicians, physicists, researchers in mechanics, civil, mechanical and aeronautical engineers, structural analysts and software developers. It is also suitable for graduate courses in nonlinear mechanics, nonsmooth analysis, applied optimization, control, calculus of variations and computational mechanics | ||
| 650 | 4 | |a Mathematics | |
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| 700 | 1 | |a Panagiotopoulos, Panagiotis D. |e Sonstige |4 oth | |
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Datensatz im Suchindex
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| dewey-full | 519.6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.6 |
| dewey-search | 519.6 |
| dewey-sort | 3519.6 |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4615-4113-4 |
| format | Electronic eBook |
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| id | DE-604.BV042420878 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:07Z |
| institution | BVB |
| isbn | 9781461541134 9781461368441 |
| issn | 1571-568X |
| language | English |
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| physical | 1 Online-Ressource (XVIII, 349 p) |
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| publishDate | 1996 |
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| series2 | Nonconvex Optimization and Its Applications |
| spelling | Dem’yanov, Vladimir F. Verfasser aut Quasidifferentiability and Nonsmooth Modelling in Mechanics, Engineering and Economics by Vladimir F. Dem’yanov, Georgios E. Stavroulakis, Ludmila N. Polyakova, Panagiotis D. Panagiotopoulos Boston, MA Springer US 1996 1 Online-Ressource (XVIII, 349 p) txt rdacontent c rdamedia cr rdacarrier Nonconvex Optimization and Its Applications 10 1571-568X Nonsmooth energy functions govern phenomena which occur frequently in nature and in all areas of life. They constitute a fascinating subject in mathematics and permit the rational understanding of yet unsolved or partially solved questions in mechanics, engineering and economics. This is the first book to provide a complete and rigorous presentation of the quasidifferentiability approach to nonconvex, possibly nonsmooth, energy functions, of the derivation and study of the corresponding variational expressions in mechanics, engineering and economics, and of their numerical treatment. The new variational formulations derived are illustrated by many interesting numerical problems. The techniques presented will permit the reader to check any solution obtained by other heuristic techniques for nonconvex, nonsmooth energy problems. A civil, mechanical or aeronautical engineer can find in the book the only existing mathematically sound technique for the formulation and study of nonconvex, nonsmooth energy problems. Audience: The book will be of interest to pure and applied mathematicians, physicists, researchers in mechanics, civil, mechanical and aeronautical engineers, structural analysts and software developers. It is also suitable for graduate courses in nonlinear mechanics, nonsmooth analysis, applied optimization, control, calculus of variations and computational mechanics Mathematics Mathematical optimization Engineering mathematics Optimization Applications of Mathematics Appl.Mathematics/Computational Methods of Engineering Calculus of Variations and Optimal Control; Optimization Mathematik Stavroulakis, Georgios E. Sonstige oth Polyakova, Ludmila N. Sonstige oth Panagiotopoulos, Panagiotis D. Sonstige oth https://doi.org/10.1007/978-1-4615-4113-4 Verlag Volltext |
| spellingShingle | Dem’yanov, Vladimir F. Quasidifferentiability and Nonsmooth Modelling in Mechanics, Engineering and Economics Mathematics Mathematical optimization Engineering mathematics Optimization Applications of Mathematics Appl.Mathematics/Computational Methods of Engineering Calculus of Variations and Optimal Control; Optimization Mathematik |
| title | Quasidifferentiability and Nonsmooth Modelling in Mechanics, Engineering and Economics |
| title_auth | Quasidifferentiability and Nonsmooth Modelling in Mechanics, Engineering and Economics |
| title_exact_search | Quasidifferentiability and Nonsmooth Modelling in Mechanics, Engineering and Economics |
| title_full | Quasidifferentiability and Nonsmooth Modelling in Mechanics, Engineering and Economics by Vladimir F. Dem’yanov, Georgios E. Stavroulakis, Ludmila N. Polyakova, Panagiotis D. Panagiotopoulos |
| title_fullStr | Quasidifferentiability and Nonsmooth Modelling in Mechanics, Engineering and Economics by Vladimir F. Dem’yanov, Georgios E. Stavroulakis, Ludmila N. Polyakova, Panagiotis D. Panagiotopoulos |
| title_full_unstemmed | Quasidifferentiability and Nonsmooth Modelling in Mechanics, Engineering and Economics by Vladimir F. Dem’yanov, Georgios E. Stavroulakis, Ludmila N. Polyakova, Panagiotis D. Panagiotopoulos |
| title_short | Quasidifferentiability and Nonsmooth Modelling in Mechanics, Engineering and Economics |
| title_sort | quasidifferentiability and nonsmooth modelling in mechanics engineering and economics |
| topic | Mathematics Mathematical optimization Engineering mathematics Optimization Applications of Mathematics Appl.Mathematics/Computational Methods of Engineering Calculus of Variations and Optimal Control; Optimization Mathematik |
| topic_facet | Mathematics Mathematical optimization Engineering mathematics Optimization Applications of Mathematics Appl.Mathematics/Computational Methods of Engineering Calculus of Variations and Optimal Control; Optimization Mathematik |
| url | https://doi.org/10.1007/978-1-4615-4113-4 |
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