Canonical duality theory : unified methodology for multidisciplinary study

• 其他作者：
  • Gao, David Yang, editor.
  • Latorre, Vittorio, editor.
  • Ruan, Ning, editor.
  • SpringerLink (Online service)
• 其他題名：
  • Advances in mechanics and mathematics ;
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Advances in mechanics and mathematics,volume 37
• 主題： Duality theory (Mathematics) , Mathematics. , Optimization. , Classical Mechanics.
• ISBN： 9783319580173 (electronic bk.) 、 9783319580166 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
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• 摘要註: 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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