Canonical Duality Theory: Unified Methodology for Multidisciplinary Study
About this ebook
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.
About the author
David Gao is a the Alex Rubinov chair professor of mathematics in the Faculty of Sciences and Technology at the Federation University Australia. His research interests span a broad range of topics, including nonlinear analysis and mechanics, mathematical modeling, simulation and control of complex systems, global optimization, and information technology. He has published over 10 books and 180 refereed papers and is a founding editor of the series Advances in Mechanics and Mathematics.
Dr. Vittorio Latorre received his PhD in the Department of Computer, Control and Management Engineering at the Sapienza University of Rome. His research interests include global optimization, chaotic dynamics, information technology, and large-scale computation.
Dr. Ning Ruan is a senior research fellow in the Faculty of Sciences and Technology at the Federation University Australia. Her research interests include global optimization, operations research, sensor network, system engineering, applied mathematics, and large scale computation.
