Canonical Duality Theory Unified Methodology for Multidisciplinary Study /

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 syste...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: Gao, David Yang (Επιμελητής έκδοσης), Latorre, Vittorio (Επιμελητής έκδοσης), Ruan, Ning (Επιμελητής έκδοσης)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
Σειρά:Advances in Mechanics and Mathematics, 37
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Canonical Duality Theory  |h [electronic resource] :  |b Unified Methodology for Multidisciplinary Study /  |c edited by David Yang Gao, Vittorio Latorre, Ning Ruan. 
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490 1 |a Advances in Mechanics and Mathematics,  |x 1571-8689 ;  |v 37 
520 |a 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. . 
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650 0 |a Mathematical optimization. 
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650 2 4 |a Optimization. 
650 2 4 |a Classical Mechanics. 
700 1 |a Gao, David Yang.  |e editor. 
700 1 |a Latorre, Vittorio.  |e editor. 
700 1 |a Ruan, Ning.  |e editor. 
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