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Record Nr. |
UNINA9910254286903321 |
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Titolo |
Canonical Duality Theory : Unified Methodology for Multidisciplinary Study / / edited by David Yang Gao, Vittorio Latorre, Ning Ruan |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
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ISBN |
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Edizione |
[1st ed. 2017.] |
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Descrizione fisica |
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1 online resource (VIII, 377 p. 67 illus., 60 illus. in color.) |
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Collana |
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Advances in Mechanics and Mathematics, , 1876-9896 ; ; 37 |
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Disciplina |
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Soggetti |
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Mathematical optimization |
Mechanics |
Optimization |
Classical Mechanics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Sommario/riassunto |
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This book on canonical duality theory provides a comprehensive review of its philosophical origin, physics foundation, and mathematical statements in both finite- and infinite-dimensional spaces. A ground-breaking methodological theory, canonical duality theory can be used for modeling complex systems within a unified framework and for solving a large class of challenging problems in multidisciplinary fields in engineering, mathematics, and the sciences. This volume places a particular emphasis on canonical duality theory’s role in bridging the gap between non-convex analysis/mechanics and global optimization. With 18 total chapters written by experts in their fields, this volume provides a nonconventional theory for unified understanding of the fundamental difficulties in large deformation mechanics, bifurcation/chaos in nonlinear science, and the NP-hard problems in global optimization. Additionally, readers will find a unified methodology and powerful algorithms for solving challenging problems in complex systems with real-world applications in non-convex analysis, non-monotone variational inequalities, integer programming, topology optimization, post-buckling of large deformed structures, etc. Researchers and |
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graduate students will find explanation and potential applications in multidisciplinary fields. . |
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