Canonical Duality Theory: Unified Methodology for Multidisciplinary Study

David Yang Gao (Curatore)

Vittorio Latorre (Curatore)

Springer International Publishing AG, 2017

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.

• Curatore: David Yang Gao, Vittorio Latorre
• Editore: Springer International Publishing AG
• Collana: Advances in Mechanics and Mathematics
• Anno: 2017
• Rilegatura: Hardback
• Pagine: 377 p.
• Dimensioni: 235 x 155 mm
• EAN: 9783319580166

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