Canonical Duality Theory : Unified Methodology for Multidisciplinary Study / edited by David Yang Gao, Vittorio Latorre, Ning Ruan.

Format:

Book

Contributor:

Gao, David Yang., Editor.

Latorre, Vittorio., Editor.

Ruan, Ning., Editor.

Series:

Advances in Mechanics and Mathematics, 1876-9896 ; 37

Language:

English

Subjects (All):

Mathematical optimization.

Mechanics.

Optimization.

Classical Mechanics.

Local Subjects:

Optimization.

Classical Mechanics.

Physical Description:

1 online resource (VIII, 377 p. 67 illus., 60 illus. in color.)

Edition:

1st ed. 2017.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2017.

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. .

ISBN:

3-319-58017-5