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＜電子ブック＞
Canonical Duality Theory : Unified Methodology for Multidisciplinary Study / edited by David Yang Gao, Vittorio Latorre, Ning Ruan
(Advances in Mechanics and Mathematics. ISSN:18769896 ; 37)

版	1st ed. 2017.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2017
本文言語	英語
大きさ	VIII, 377 p. 67 illus., 60 illus. in color : online resource
著者標目	Gao, David Yang editor Latorre, Vittorio editor Ruan, Ning editor SpringerLink (Online service)
件　名	LCSH:Mathematical optimization LCSH:Mechanics FREE:Optimization FREE:Classical Mechanics
一般注記	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 graduate students will find explanation and potential applications in multidisciplinary fields.  HTTP:URL=https://doi.org/10.1007/978-3-319-58017-3

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