Gao, David Yang
Overview
Works:  19 works in 80 publications in 1 language and 1,222 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other 
Classifications:  QA402.5, 531 
Publication Timeline
.
Most widely held works by
David Yang Gao
Duality principles in nonconvex systems : theory, methods, and applications by
David Yang Gao(
Book
)
12 editions published between 2000 and 2011 in English and held by 124 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
12 editions published between 2000 and 2011 in English and held by 124 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
Handbook of nonconvex analysis and applications(
Book
)
4 editions published in 2010 in English and held by 104 WorldCat member libraries worldwide
4 editions published in 2010 in English and held by 104 WorldCat member libraries worldwide
Nonsmooth/nonconvex mechanics : modeling, analysis, and numerical methods by ASME Mechanics and Materials Conference(
Book
)
11 editions published in 2001 in English and held by 93 WorldCat member libraries worldwide
Nonsmoothness and nonconvexity arise in numerous applications of mechan ics and modeling due to the need for studying more and more complicated phe nomena and real life applications. Mathematicians have started to provide the necessary tools and theoretical results underpinning these applications. Ap plied mathematicians and engineers have begun to realize the benefits of this new area and are adopting, increasingly, these new tools in their work. New computational tools facilitate numerical applications and enable the theory to be tested, and the resulting feedback poses new theoretical questions. Because of the upsurge in activity in the area of nonsmooth and noncon vex mechanics, Professors Gao and Ogden, together with the late Professor P.D. Panagiotopoulos, had planned to organize a Minisymposium with the title Nonsmooth and Nonconvex Mechanics within the ASME 1999 Mechanics & Materials Conference, June 2730 1999, Blacksburg, Virginia. After the unex pected death of Professor Panagiotopoulos the first two editors invited the third editor (Professor Stavroulakis) to join them. A large number of mathematical and engineering colleagues supported our efforts by presenting lectures at the Minisymposium in which the available mathematical methods were described and many problems of nonsmooth and nonconvex mechanics were discussed. The interest of the many participants encourages us all to continue our research efforts
11 editions published in 2001 in English and held by 93 WorldCat member libraries worldwide
Nonsmoothness and nonconvexity arise in numerous applications of mechan ics and modeling due to the need for studying more and more complicated phe nomena and real life applications. Mathematicians have started to provide the necessary tools and theoretical results underpinning these applications. Ap plied mathematicians and engineers have begun to realize the benefits of this new area and are adopting, increasingly, these new tools in their work. New computational tools facilitate numerical applications and enable the theory to be tested, and the resulting feedback poses new theoretical questions. Because of the upsurge in activity in the area of nonsmooth and noncon vex mechanics, Professors Gao and Ogden, together with the late Professor P.D. Panagiotopoulos, had planned to organize a Minisymposium with the title Nonsmooth and Nonconvex Mechanics within the ASME 1999 Mechanics & Materials Conference, June 2730 1999, Blacksburg, Virginia. After the unex pected death of Professor Panagiotopoulos the first two editors invited the third editor (Professor Stavroulakis) to join them. A large number of mathematical and engineering colleagues supported our efforts by presenting lectures at the Minisymposium in which the available mathematical methods were described and many problems of nonsmooth and nonconvex mechanics were discussed. The interest of the many participants encourages us all to continue our research efforts
Advances in mechanics and mathematics 2002(
Book
)
4 editions published in 2002 in English and held by 76 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."Jacket
4 editions published in 2002 in English and held by 76 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."Jacket
Complementarity, duality, and symmetry in nonlinear mechanics : proceedings of the IUTAM Symposium by
David Yang Gao(
Book
)
6 editions published in 2004 in English and held by 76 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
6 editions published in 2004 in English and held by 76 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 applied mathematics and global optimization : in honor of Gilbert Strang by
Hanif D Sherali(
Book
)
12 editions published in 2009 in English and held by 53 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
12 editions published in 2009 in English and held by 53 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
Advances in mechanics and mathematics(
Book
)
6 editions published in 2003 in English and held by 49 WorldCat member libraries worldwide
As any human activity needs goals, mathematical research needs problems David Hilbert Mechanics is the paradise of mathematical sciences Leonardo da Vinci Mechanics and mathematics have been complementary partners since Newton's time and the history of science shows much evidence of the ben eficial 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 du ality gap between the two partners, and this gap is growing wider. Advances in Mechanics and Mathematics (AMMA) is intended to bridge the gap by providing multidisciplinary publications which fall into the two following complementary categories: 1. An annual book dedicated to the latest developments in mechanics and mathematics; 2. Monographs, advanced textbooks, handbooks, edited vol umes and selected conference proceedings. The AMMA annual book publishes invited and contributed compre hensive reviews, research and survey articles within the broad area of modern mechanics and applied mathematics. Mechanics is understood here in the most general sense of the word, and is taken to embrace relevant physical and biological phenomena involving electromagnetic, thermal and quantum effects and biomechanics, as well as general dy namical systems. Especially encouraged are articles on mathematical and computational models and methods based on mechanics and their interactions with other fields. All contributions will be reviewed so as to guarantee the highest possible scientific standards
6 editions published in 2003 in English and held by 49 WorldCat member libraries worldwide
As any human activity needs goals, mathematical research needs problems David Hilbert Mechanics is the paradise of mathematical sciences Leonardo da Vinci Mechanics and mathematics have been complementary partners since Newton's time and the history of science shows much evidence of the ben eficial 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 du ality gap between the two partners, and this gap is growing wider. Advances in Mechanics and Mathematics (AMMA) is intended to bridge the gap by providing multidisciplinary publications which fall into the two following complementary categories: 1. An annual book dedicated to the latest developments in mechanics and mathematics; 2. Monographs, advanced textbooks, handbooks, edited vol umes and selected conference proceedings. The AMMA annual book publishes invited and contributed compre hensive reviews, research and survey articles within the broad area of modern mechanics and applied mathematics. Mechanics is understood here in the most general sense of the word, and is taken to embrace relevant physical and biological phenomena involving electromagnetic, thermal and quantum effects and biomechanics, as well as general dy namical systems. Especially encouraged are articles on mathematical and computational models and methods based on mechanics and their interactions with other fields. All contributions will be reviewed so as to guarantee the highest possible scientific standards
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 12 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
3 editions published in 2009 in English and held by 12 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
Advances in mechanics and mathematics by
David Yang Gao(
Book
)
7 editions published between 2002 and 2011 in English and held by 7 WorldCat member libraries worldwide
Advances in Mechanics and Mathematics (AMMA) is intended to bridge the gap by providing multidisciplinary publications. This volume, AMMA 2002, includes two parts with three articles by four subject experts. Part 1 deals with nonsmooth static and dynamic systems. A systematic mathematical theory for multibody dynamics with unilateral and frictional constraints and a brief introduction to hemivariational inequalities together with some new developments in nonsmooth semilinear elliptic boundary value problems are presented. Part 2 provides a comprehensive introduction and the latest research on dendritic growth in fluid mechanics, one of the most profound and fundamental subjects in the area of interfacial pattern formation, a commonly observed phenomenon in crystal growth and solidification processes
7 editions published between 2002 and 2011 in English and held by 7 WorldCat member libraries worldwide
Advances in Mechanics and Mathematics (AMMA) is intended to bridge the gap by providing multidisciplinary publications. This volume, AMMA 2002, includes two parts with three articles by four subject experts. Part 1 deals with nonsmooth static and dynamic systems. A systematic mathematical theory for multibody dynamics with unilateral and frictional constraints and a brief introduction to hemivariational inequalities together with some new developments in nonsmooth semilinear elliptic boundary value problems are presented. Part 2 provides a comprehensive introduction and the latest research on dendritic growth in fluid mechanics, one of the most profound and fundamental subjects in the area of interfacial pattern formation, a commonly observed phenomenon in crystal growth and solidification processes
Special issue: Advances in complementarity, duality, and global optimization(
Book
)
3 editions published in 2008 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 2008 in English and held by 4 WorldCat member libraries worldwide
Advances in mechanics and mathematics(
Book
)
2 editions published in 2008 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 2008 in English and held by 4 WorldCat member libraries worldwide
Advances in Mechanics and Mathematics by
David Yang Gao(
)
1 edition published in 2002 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2002 in English and held by 3 WorldCat member libraries worldwide
Advances in Mechanics and Mathematics Volume II by
David Yang Gao(
)
1 edition published in 2003 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2003 in English and held by 3 WorldCat member libraries worldwide
Special issue: The Third World Congress on Global Optimization by World Congress Global Optimization(
Book
)
1 edition published in 2016 in English and held by 1 WorldCat member library worldwide
1 edition published in 2016 in English and held by 1 WorldCat member library 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
Duality and triality : unify mathematical physics and global optimization by
David Yang Gao(
)
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
Nonsmooth dynamics of contacting thermoelastic bodies by
J Awrejcewicz(
)
2 editions published in 2009 in English and held by 0 WorldCat member libraries worldwide
This work is devoted to an intensive study in contact mechanics, treating the nonsmooth dynamics of contacting bodies. Mathematical modeling is illustrated and discussed in numerous examples of engineering objects working in different kinematic and dynamic environments. Topics covered in five selfcontained chapters examine nonsteady dynamic phenomena which are determined by key factors: i.e., heat conduction, thermal stresses, and the amount of wearing. New to this monograph is the importance of the inertia factor, which is considered on par with thermal stresses. Principal features: @* Unique monograph to address the topic of dynamic contact problems in thermoelasticity, which take into account inertial effects and influence of thermoelastic coupling for models of solids in contact @* Mathematical modeling methods are illustrated and applied to practical engineering problems: e.g., for improving the reliability and durability of machines and mechanisms under friction, heat, and amount of wear in contact @* Presents solutions that€describe many interesting nonlinear effects Nonsmooth Dynamics of Contacting Thermoelastic Bodies is an engaging accessible practical reference for engineers (civil, mechanical, industrial) and researchers in theoretical and applied mechanics, applied mathematics, physicists, and graduate students
2 editions published in 2009 in English and held by 0 WorldCat member libraries worldwide
This work is devoted to an intensive study in contact mechanics, treating the nonsmooth dynamics of contacting bodies. Mathematical modeling is illustrated and discussed in numerous examples of engineering objects working in different kinematic and dynamic environments. Topics covered in five selfcontained chapters examine nonsteady dynamic phenomena which are determined by key factors: i.e., heat conduction, thermal stresses, and the amount of wearing. New to this monograph is the importance of the inertia factor, which is considered on par with thermal stresses. Principal features: @* Unique monograph to address the topic of dynamic contact problems in thermoelasticity, which take into account inertial effects and influence of thermoelastic coupling for models of solids in contact @* Mathematical modeling methods are illustrated and applied to practical engineering problems: e.g., for improving the reliability and durability of machines and mechanisms under friction, heat, and amount of wear in contact @* Presents solutions that€describe many interesting nonlinear effects Nonsmooth Dynamics of Contacting Thermoelastic Bodies is an engaging accessible practical reference for engineers (civil, mechanical, industrial) and researchers in theoretical and applied mechanics, applied mathematics, physicists, and graduate students
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Computer scienceMathematics Computer software Contact mechanics Contact mechanicsMathematical models Convex programming Differentiable dynamical systems Differential equations, Partial Duality theory (Mathematics) Engineering mathematics Friction HeatConduction Inertia (Mechanics) Materials Mathematical optimization Mathematics Mechanical engineering Mechanical wear Mechanics Mechanics, Analytic Mechanics, Applied Mechanics, AppliedMathematics MechanicsMathematics Nonlinear functional analysis Nonlinear mechanics Nonsmooth optimization Nonstandard mathematical analysis Numerical analysis Physics Thermal stresses Thermoelasticity Thermoelastic stress analysis