Gao, David Yang
Overview
Works:  14 works in 51 publications in 1 language and 994 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor 
Classifications:  QA801, 531 
Publication Timeline
.
Most widely held works by
David Yang Gao
Advances in applied mathematics and global optimization in honor of Gilbert Strang by
Hanif D Sherali(
)
10 editions published in 2009 in English and held by 403 WorldCat member libraries worldwide
The articles that comprise this distinguished annual volume for the Advances in Mechanics and Mathematics series have been written in honor of Gilbert Strang, a world renowned mathematician and exceptional person. Written by leading experts in complementarity, duality, global optimization, and quantum computations, this collection reveals the beauty of these mathematical disciplines and investigates recent developments in global optimization, nonconvex and nonsmooth analysis, nonlinear programming, theoretical and engineering mechanics, large scale computation, quantum algorithms and computation, and information theory.Much of the material, including the various methodologies, is written for nonexperts and is intended to stimulate graduate students and young faculty to venture into this rich domain of research; it will also benefit researchers and practitioners in several areas of applied mathematics, mechanics, and engineering
10 editions published in 2009 in English and held by 403 WorldCat member libraries worldwide
The articles that comprise this distinguished annual volume for the Advances in Mechanics and Mathematics series have been written in honor of Gilbert Strang, a world renowned mathematician and exceptional person. Written by leading experts in complementarity, duality, global optimization, and quantum computations, this collection reveals the beauty of these mathematical disciplines and investigates recent developments in global optimization, nonconvex and nonsmooth analysis, nonlinear programming, theoretical and engineering mechanics, large scale computation, quantum algorithms and computation, and information theory.Much of the material, including the various methodologies, is written for nonexperts and is intended to stimulate graduate students and young faculty to venture into this rich domain of research; it will also benefit researchers and practitioners in several areas of applied mathematics, mechanics, and engineering
Duality principles in nonconvex systems : theory, methods, and applications by
David Yang Gao(
Book
)
10 editions published between 2000 and 2011 in English and held by 141 WorldCat member libraries worldwide
Motivated by practical problems in engineering and physics, drawing on a wide range of applied mathematical disciplines, this book is the first to provide, within a unified framework, a selfcontained comprehensive mathematical theory of duality for general nonconvex, nonsmooth systems, with emphasis on methods and applications in engineering mechanics. Topics covered include the classical (minimax) monoduality of convex static equilibria, the beautiful biduality in dynamical systems, the interesting triduality in nonconvex problems and the complicated multiduality in general canonical systems. A potentially powerful sequential canonical dual transformation method for solving fully nonlinear problems is developed heuristically and illustrated by use of many interesting examples as well as extensive applications in a wide variety of nonlinear systems, including differential equations, variational problems and inequalities, constrained global optimization, multiwell phase transitions, nonsmooth postbifurcation, large deformation mechanics, structural limit analysis, differential geometry and nonconvex dynamical systems. With exceptionally coherent and lucid exposition, the work fills a big gap between the mathematical and engineering sciences. It shows how to use formal language and duality methods to model natural phenomena, to construct intrinsic frameworks in different fields and to provide ideas, concepts and powerful methods for solving nonconvex, nonsmooth problems arising naturally in engineering and science. Much of the book contains material that is new, both in its manner of presentation and in its research development. A selfcontained appendix provides some necessary background from elementary functional analysis. Audience: The book will be a valuable resource for students and researchers in applied mathematics, physics, mechanics and engineering. The whole volume or selected chapters can also be recommended as a text for both senior undergraduate and graduate courses in applied mathematics, mechanics, general engineering science and other areas in which the notions of optimization and variational methods are employed
10 editions published between 2000 and 2011 in English and held by 141 WorldCat member libraries worldwide
Motivated by practical problems in engineering and physics, drawing on a wide range of applied mathematical disciplines, this book is the first to provide, within a unified framework, a selfcontained comprehensive mathematical theory of duality for general nonconvex, nonsmooth systems, with emphasis on methods and applications in engineering mechanics. Topics covered include the classical (minimax) monoduality of convex static equilibria, the beautiful biduality in dynamical systems, the interesting triduality in nonconvex problems and the complicated multiduality in general canonical systems. A potentially powerful sequential canonical dual transformation method for solving fully nonlinear problems is developed heuristically and illustrated by use of many interesting examples as well as extensive applications in a wide variety of nonlinear systems, including differential equations, variational problems and inequalities, constrained global optimization, multiwell phase transitions, nonsmooth postbifurcation, large deformation mechanics, structural limit analysis, differential geometry and nonconvex dynamical systems. With exceptionally coherent and lucid exposition, the work fills a big gap between the mathematical and engineering sciences. It shows how to use formal language and duality methods to model natural phenomena, to construct intrinsic frameworks in different fields and to provide ideas, concepts and powerful methods for solving nonconvex, nonsmooth problems arising naturally in engineering and science. Much of the book contains material that is new, both in its manner of presentation and in its research development. A selfcontained appendix provides some necessary background from elementary functional analysis. Audience: The book will be a valuable resource for students and researchers in applied mathematics, physics, mechanics and engineering. The whole volume or selected chapters can also be recommended as a text for both senior undergraduate and graduate courses in applied mathematics, mechanics, general engineering science and other areas in which the notions of optimization and variational methods are employed
Nonsmooth/nonconvex mechanics : modeling, analysis, and numerical methods by
Josef Kallrath(
Book
)
6 editions published in 2001 in English and held by 105 WorldCat member libraries worldwide
Nonsmooth and nonconvex models arise in several important applications of mechanics and engineering. The interest in this field is growing from both mathematicians and engineers. The study of numerous industrial applications, including contact phenomena in statics and dynamics or delamination effects in composites, require the consideration of nonsmoothness and nonconvexity. The mathematical topics discussed in this book include variational and hemivariational inequalities, duality, complementarity, variational principles, sensitivity analysis, eigenvalue and resonance problems, and minimax problems. Applications are considered in the following areas among others: nonsmooth statics and dynamics, stability of quasi static evolution processes, friction problems, adhesive contact and debonding, inverse problems, pseudoelastic modeling of phase transitions, chaotic behavior in nonlinear beams, and nonholonomic mechanical systems. This volume contains 22 chapters written by various leading researchers and presents a cohesive and authoritative overview of recent results and applications in the area of nonsmooth and nonconvex mechanics. Audience: Faculty, graduate students, and researchers in applied mathematics, optimization, control and engineering
6 editions published in 2001 in English and held by 105 WorldCat member libraries worldwide
Nonsmooth and nonconvex models arise in several important applications of mechanics and engineering. The interest in this field is growing from both mathematicians and engineers. The study of numerous industrial applications, including contact phenomena in statics and dynamics or delamination effects in composites, require the consideration of nonsmoothness and nonconvexity. The mathematical topics discussed in this book include variational and hemivariational inequalities, duality, complementarity, variational principles, sensitivity analysis, eigenvalue and resonance problems, and minimax problems. Applications are considered in the following areas among others: nonsmooth statics and dynamics, stability of quasi static evolution processes, friction problems, adhesive contact and debonding, inverse problems, pseudoelastic modeling of phase transitions, chaotic behavior in nonlinear beams, and nonholonomic mechanical systems. This volume contains 22 chapters written by various leading researchers and presents a cohesive and authoritative overview of recent results and applications in the area of nonsmooth and nonconvex mechanics. Audience: Faculty, graduate students, and researchers in applied mathematics, optimization, control and engineering
Handbook of nonconvex analysis and applications(
Book
)
4 editions published in 2010 in English and held by 100 WorldCat member libraries worldwide
4 editions published in 2010 in English and held by 100 WorldCat member libraries worldwide
Advances in mechanics and mathematics 2002(
Book
)
3 editions published in 2002 in English and held by 85 WorldCat member libraries worldwide
"Mechanics and mathematics have been complementary partners since Newton's time and the history of science shows much evidence of the beneficial influence of these disciplines on each other. Driven by increasingly elaborate modern technological applications the symbiotic relationship between mathematics and mechanics is continually growing. However, the increasingly large number of specialist journals has generated a duality gap between the two partners, and this gap is growing wider." "Audience: Scientists and mathematicians, including advanced students (doctoral and postdoctoral level) at universities and in industry interested in mechanics and applied mathematics."BOOK JACKET
3 editions published in 2002 in English and held by 85 WorldCat member libraries worldwide
"Mechanics and mathematics have been complementary partners since Newton's time and the history of science shows much evidence of the beneficial influence of these disciplines on each other. Driven by increasingly elaborate modern technological applications the symbiotic relationship between mathematics and mechanics is continually growing. However, the increasingly large number of specialist journals has generated a duality gap between the two partners, and this gap is growing wider." "Audience: Scientists and mathematicians, including advanced students (doctoral and postdoctoral level) at universities and in industry interested in mechanics and applied mathematics."BOOK JACKET
Complementarity, duality, and symmetry in nonlinear mechanics : proceedings of the IUTAM Symposium by David Y Gao(
Book
)
1 edition published in 2004 in English and held by 71 WorldCat member libraries worldwide
Complementarity, duality, and symmetry are closely related concepts, and have always been a rich source of inspiration in human understanding through the centuries, particularly in mathematics and science. The Proceedings of IUTAM Symposium on Complementarity, Duality, and Symmetry in Nonlinear Mechanics brings together some of world's leading researchers in both mathematics and mechanics to provide an interdisciplinary but engineering flavoured exploration of the field's foundation and state of the art developments. Topics addressed in this book deal with fundamental theory, methods, and applications of complementarity, duality and symmetry in multidisciplinary fields of nonlinear mechanics, including nonconvex and nonsmooth elasticity, dynamics, phase transitions, plastic limit and shakedown analysis of hardening materials and structures, bifurcation analysis, entropy optimization, free boundary value problems, minimax theory, fluid mechanics, periodic soliton resonance, constrained mechanical systems, finite element methods and computational mechanics. A special invited paper presented important research opportunities and challenges of the theoretical and applied mechanics as well as engineering materials in the exciting information age. Audience: This book is addressed to all scientists, physicists, engineers and mathematicians, as well as advanced students (doctoral and postdoctoral level) at universities and in industry
1 edition published in 2004 in English and held by 71 WorldCat member libraries worldwide
Complementarity, duality, and symmetry are closely related concepts, and have always been a rich source of inspiration in human understanding through the centuries, particularly in mathematics and science. The Proceedings of IUTAM Symposium on Complementarity, Duality, and Symmetry in Nonlinear Mechanics brings together some of world's leading researchers in both mathematics and mechanics to provide an interdisciplinary but engineering flavoured exploration of the field's foundation and state of the art developments. Topics addressed in this book deal with fundamental theory, methods, and applications of complementarity, duality and symmetry in multidisciplinary fields of nonlinear mechanics, including nonconvex and nonsmooth elasticity, dynamics, phase transitions, plastic limit and shakedown analysis of hardening materials and structures, bifurcation analysis, entropy optimization, free boundary value problems, minimax theory, fluid mechanics, periodic soliton resonance, constrained mechanical systems, finite element methods and computational mechanics. A special invited paper presented important research opportunities and challenges of the theoretical and applied mechanics as well as engineering materials in the exciting information age. Audience: This book is addressed to all scientists, physicists, engineers and mathematicians, as well as advanced students (doctoral and postdoctoral level) at universities and in industry
Advances in mechanics and mathematics(
Book
)
3 editions published in 2003 in English and held by 59 WorldCat member libraries worldwide
3 editions published in 2003 in English and held by 59 WorldCat member libraries worldwide
Advances in applied mathematics and global optimization in honor of Gilbert Strang ; [First International Conference on Complementarity,
Duality and Global Optimization (CDGO) was held at Virginia Tech, Blacksburg, August 1517, 2005] by
Hanif D Sherali(
)
3 editions published in 2009 in English and held by 14 WorldCat member libraries worldwide
3 editions published in 2009 in English and held by 14 WorldCat member libraries worldwide
Advances in mechanics and mathematics(
Book
)
5 editions published between 2002 and 2011 in English and held by 6 WorldCat member libraries worldwide
5 editions published between 2002 and 2011 in English and held by 6 WorldCat member libraries worldwide
Advances in mechanics and mathematics(
Book
)
2 editions published in 2008 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 2008 in English and held by 5 WorldCat member libraries worldwide
Advances in Applied Mathematics and Global Optimization Vol. 3: In Honor of Gilbert Strang by
David Yang Gao(
)
1 edition published in 2009 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2009 in English and held by 2 WorldCat member libraries worldwide
Advances in complementarity, duality, and global optimization(
)
1 edition published in 2008 in English and held by 1 WorldCat member library worldwide
1 edition published in 2008 in English and held by 1 WorldCat member library worldwide
Special issue on duality theory, methods and applications(
Book
)
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
Advances in Applied Mathematics and Global Optimization Dedicated to Gilbert Strang on the Occasion of His 70th Birthday by
David Yang Gao(
Book
)
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Ogden, R. W. 1943 Editor
 Strang, Gilbert Honoree
 Stavroulakis, G. E. (Georgios E.) Editor
 Motreanu, D.
 Sherali, Hanif D. Author Editor
 Panagiotopoulos, Panagiotis D. Honoree
 International Conference on Complementarity, Duality and Global Optimization (1, 2005, Blacksburg, Va.)
 International Conference on Complementarity, Duality and Global Optimization
 Ebooks Corporation
 Teo, K. L.
Associated Subjects
Computer scienceMathematics Computer software Convex programming Differential equations, Partial Duality theory (Mathematics) Materials Mathematical optimization Mathematics Mechanical engineering Mechanics Mechanics, Analytic Mechanics, Applied Mechanics, AppliedMathematics MechanicsMathematics Nonlinear functional analysis Nonlinear mechanics Nonsmooth optimization Nonstandard mathematical analysis Physics Statistical mechanics