Canonical Duality Theory : Unified Methodology for Multidisciplinary Study / edited by David Yang Gao, Vittorio Latorre, Ning Ruan
| データ種別 | 電子書籍 |
|---|---|
| 出版者 | Cham : Springer International Publishing : Imprint: Springer |
| 出版年 | 2017 |
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| 書誌ID | OB01037907 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | License restrictions may limit access Summary: 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. |
| 著者標目 | Gao, David Yang Latorre, Vittorio Ruan, Ning SpringerLink (Online service) |
| 統一書名標目 | Advances in Mechanics and Mathematics, |
| 件 名 | LCSH:Mathematics LCSH:Mathematical optimization FREE:Mathematics FREE:Optimization FREE:Classical Mechanics |
| 分 類 | LCC:QA402.5-402.6 DC23:519.6 |
| 巻冊次 | ISBN:9783319580173 RefWorks出力（各巻） print ; ISBN:9783319580166 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
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