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Canonical Duality Theory: Unified Methodology for Multidisciplinary Study
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Catalogue Information
Field name
Details
Dewey Class
519.6
Title
Canonical Duality Theory ([EBook]) : Unified Methodology for Multidisciplinary Study / / edited by David Yang Gao, Vittorio Latorre, Ning Ruan.
Added Personal Name
Gao, David Yang
editor.
Latorre, Vittorio
editor.
Ruan, Ning
editor.
Other name(s)
SpringerLink (Online service)
Publication
Cham : : Springer International Publishing : : Imprint: Springer, , 2017.
Physical Details
VIII, 377 p. 67 illus., 60 illus. in color. : online resource.
Series
Advances in Mechanics and Mathematics
1571-8689 ; ; 37
ISBN
9783319580173
Summary Note
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.?.:
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-319-58017-3
Links to Related Works
Subject References:
Classical Mechanics
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Mathematical optimization
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Mathematics
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Optimization
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Authors:
Gao, David Yang
.
Latorre, Vittorio
.
Ruan, Ning
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Corporate Authors:
SpringerLink (Online service)
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Series:
Advances in Mechanics and Mathematics
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Classification:
519.6
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