Goong Chen's Books

Proper Orthogonal Decomposition Methods for Partial Differential Equations

By: Zhendong Luo,Goong Chen

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Proper Orthogonal Decomposition Methods for Partial Differential Equations

By: Zhendong Luo,Goong Chen

Proper Orthogonal Decomposition Methods for Partial Differential Equations evaluates the potential applications of POD reduced-order numerical methods in increasing computational efficiency, decreasing calculating load and alleviating the accumulation of truncation error in the computational process. Introduces the foundations of finite-differences, finite-elements and finite-volume-elements. Models of time-dependent PDEs are presented, with detailed numerical procedures, implementation and error analysis. Output numerical data are plotted in graphics and compared using standard traditional methods. These models contain parabolic, hyperbolic and nonlinear systems of PDEs, suitable for the user to learn and adapt methods to their own R&D problems. - Explains ways to reduce order for PDEs by means of the POD method so that reduced-order models have few unknowns - Helps readers speed up computation and reduce computation load and memory requirements while numerically capturing system characteristics - Enables readers to apply and adapt the methods to solve similar problems for PDEs of hyperbolic, parabolic and nonlinear types

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Page Count

280

Publisher

Academic Press

Published Date

ISBN 10

0128167998

ISBN 13

9780128167991

Chaotic Maps

Dynamics, Fractals, and Rapid Fluctuations

By: Goong Chen,Yu Huang

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Chaotic Maps

Dynamics, Fractals, and Rapid Fluctuations

By: Goong Chen,Yu Huang

This book consists of lecture notes for a semester-long introductory graduate course on dynamical systems and chaos taught by the authors at Texas A&M University and Zhongshan University, China. There are ten chapters in the main body of the book, covering an elementary theory of chaotic maps in finite-dimensional spaces. The topics include one-dimensional dynamical systems (interval maps), bifurcations, general topological, symbolic dynamical systems, fractals and a class of infinite-dimensional dynamical systems which are induced by interval maps, plus rapid fluctuations of chaotic maps as a new viewpoint developed by the authors in recent years. Two appendices are also provided in order to ease the transitions for the readership from discrete-time dynamical systems to continuous-time dynamical systems, governed by ordinary and partial differential equations. Table of Contents: Simple Interval Maps and Their Iterations / Total Variations of Iterates of Maps / Ordering among Periods: The Sharkovski Theorem / Bifurcation Theorems for Maps / Homoclinicity. Lyapunoff Exponents / Symbolic Dynamics, Conjugacy and Shift Invariant Sets / The Smale Horseshoe / Fractals / Rapid Fluctuations of Chaotic Maps on RN / Infinite-dimensional Systems Induced by Continuous-Time Difference Equations

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Page Count

227

Publisher

Springer Nature

Published Date

ISBN 10

3031024036

ISBN 13

9783031024030

Quantum Computing Devices

Principles, Designs, and Analysis

By: Goong Chen,David A. Church,Berthold-Georg Englert,Carsten Henkel,Bernd Rohwedder,Marlan O. Scully,M. Suhail Zubairy

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Quantum Computing Devices

Principles, Designs, and Analysis

By: Goong Chen,David A. Church,Berthold-Georg Englert,Carsten Henkel,Bernd Rohwedder,Marlan O. Scully,M. Suhail Zubairy

One of the first books to thoroughly examine the subject, Quantum Computing Devices: Principles, Designs, and Analysis covers the essential components in the design of a "real" quantum computer. It explores contemporary and important aspects of quantum computation, particularly focusing on the role of quantum electronic devices as quantum gates.

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Page Count

565

Publisher

CRC Press

Published Date

ISBN 10

1420011774

ISBN 13

9781420011777

BOUNDARY ELEMENT METHODS WITH APPLICATIONS TO NONLINEAR PROBLEMS

2nd edition

By: Goong Chen,Jianxin Zhou

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BOUNDARY ELEMENT METHODS WITH APPLICATIONS TO NONLINEAR PROBLEMS

2nd edition

By: Goong Chen,Jianxin Zhou

Boundary Element Methods have become a major numerical tool in scientific and engineering problem-solving, with particular applications to numerical computations and simulations of partial differential equations in engineering. Boundary Element Methods provides a rigorous and systematic account of the modern mathematical theory of Boundary Element Methods, including the requisite background on general partial, differential equation methods, Sobolev spaces, pseudo-differential and Fredholm operators and finite elements. It aims at the computation of many types of elliptic boundary value problems in potential theory, elasticity, wave propagation, and structural mechanics. Also presented are various methods and algorithms for nonlinear partial differential equations. This second edition has been fully revised and combines the mathematical rigour necessary for a full understanding of the subject, with extensive examples of applications illustrated with computer graphics. This book is intended as a textbook and reference for applied mathematicians, physical scientists and engineers at graduate and research level. It will be an invaluable sourcebook for all concerned with numerical modeling and the solution of partial differential equations.

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Page Count

733

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9491216279

ISBN 13

9789491216275

BOUNDARY ELEMENT METHODS WITH APPLICATIONS TO NONLINEAR PROBLEMS

2nd edition

By: Goong Chen,Jianxin Zhou

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BOUNDARY ELEMENT METHODS WITH APPLICATIONS TO NONLINEAR PROBLEMS

2nd edition

By: Goong Chen,Jianxin Zhou

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733

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Springer Science & Business Media

Published Date

ISBN 10

9491216279

ISBN 13

9789491216275

Chaotic Maps

Dynamics, Fractals, and Rapid Fluctuations

By: Goong Chen,Yu Huang

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Chaotic Maps

Dynamics, Fractals, and Rapid Fluctuations

By: Goong Chen,Yu Huang

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Page Count

227

Publisher

Springer Nature

Published Date

ISBN 10

3031024036

ISBN 13

9783031024030

Vibration and Damping in Distributed Systems

By: Goong Chen,Jianxin Zhou

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Vibration and Damping in Distributed Systems

By: Goong Chen,Jianxin Zhou

Vibration and Damping in Distributed Systems, Volume I provides a comprehensive account of the mathematical study and self-contained analysis of vibration and damping in systems governed by partial differential equations. The book presents partial differential equations techniques for the mathematical study of this subject. A special objective of establishing the stability theory to treat many distributed vibration models containing damping is discussed. It presents the theory and methods of functional analysis, energy identities, and strongly continuous and holomorphic semigroups. Many mechanical designs are illustrated to provide concrete examples of damping devices. Numerical examples are also included to confirm the strong agreements between the theoretical estimates and numerical computations of damping rates of eigenmodes.

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Page Count

466

Publisher

CRC Press

Published Date

ISBN 10

0849371619

ISBN 13

9780849371615

Quantum Computing Devices

Principles, Designs, and Analysis

By: Goong Chen,David A. Church,Berthold-Georg Englert,Carsten Henkel,Bernd Rohwedder,Marlan O. Scully,M. Suhail Zubairy

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Quantum Computing Devices

Principles, Designs, and Analysis

By: Goong Chen,David A. Church,Berthold-Georg Englert,Carsten Henkel,Bernd Rohwedder,Marlan O. Scully,M. Suhail Zubairy

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Page Count

565

Publisher

CRC Press

Published Date

ISBN 10

1420011774

ISBN 13

9781420011777

BOUNDARY ELEMENT METHODS WITH APPLICATIONS TO NONLINEAR PROBLEMS

2nd Edition

By: Goong Chen,Jianxin Zhou

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BOUNDARY ELEMENT METHODS WITH APPLICATIONS TO NONLINEAR PROBLEMS

2nd Edition

By: Goong Chen,Jianxin Zhou

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Page Count

732

Published Date

ISBN 10

1282749048

ISBN 13

9781282749047

Mathematical Theory of Quantum Computation

By: Goong Chen,Zijian Diao

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Mathematical Theory of Quantum Computation

By: Goong Chen,Zijian Diao

The design and construction of the quantum computer is one of the most exciting and challenging goals of the scientific community. This book provides an introductory yet comprehensive treatment of the mathematical theory underlying quantum computation. The author adopts the formal, axiomatic style of stating and proving lemmas, propositions, and theorems, but does so in a way that keeps the treatment self-contained and accessible to a broad, multidisciplinary audience. Numerous diagrams of circuits and devices support the text. Plentiful exercises and examples reinforce the concepts and make this book suitable for graduate-level course work as well as a valuable reference for researchers and practitioners.

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Page Count

320

Publisher

Chapman and Hall/CRC

Published Date

ISBN 10

1584883898

ISBN 13

9781584883890

Vibration and Damping in Distributed Systems

By: Goong Chen,Jianxin Zhou

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Vibration and Damping in Distributed Systems

By: Goong Chen,Jianxin Zhou

Vibration and Damping in Distributed Systems, Volume II discusses asymptotic methods, including equations with variable coefficients, asymptotic estimates of eigenfrequencies of membranes and plates, WKB approximations and the wave propagation method of Keller and Rubinow, which are developed and applied to scattering problems. The book provides data on the Rayleigh and max-min methods, Courant's nodal domain theorem, the numerical methods of finite-element, boundary-element and spectral types, and an asymptotic method due to Bolotin. Computer graphics are used to enhance understanding and motivate intuition concerning vibration phenomena. The book exhibits a collection of eigenmodes of membranes and plates. It illustrates special effects associated with focusing, whispering gallery and bouncing ball, as well as dynamic motion sequences of a membrane and a plate. Issues involved in experimental determination of internal damping rates and mechanisms in elastic beams are discussed.

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Page Count

400

Publisher

CRC Press

Published Date

ISBN 10

0849371627

ISBN 13

9780849371622

Proper Orthogonal Decomposition Methods for Partial Differential Equations

By: Zhendong Luo,Goong Chen

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Proper Orthogonal Decomposition Methods for Partial Differential Equations

By: Zhendong Luo,Goong Chen

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Solve jigsaw puzzle

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Page Count

280

Publisher

Academic Press

Published Date

ISBN 10

0128167998

ISBN 13

9780128167991

Vibration and Damping In Distributed Systems

By: Goong Chen,Jianxin Zhou

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Vibration and Damping In Distributed Systems

By: Goong Chen,Jianxin Zhou

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Page Count

464

Publisher

CRC Press

Published Date

ISBN 10

0849371538

ISBN 13

9780849371530

Book's by Goong Chen

Proper Orthogonal Decomposition Methods for Partial Differential Equations

Proper Orthogonal Decomposition Methods for Partial Differential Equations

Chaotic Maps

Chaotic Maps

Quantum Computing Devices

Quantum Computing Devices

BOUNDARY ELEMENT METHODS WITH APPLICATIONS TO NONLINEAR PROBLEMS

BOUNDARY ELEMENT METHODS WITH APPLICATIONS TO NONLINEAR PROBLEMS

BOUNDARY ELEMENT METHODS WITH APPLICATIONS TO NONLINEAR PROBLEMS

BOUNDARY ELEMENT METHODS WITH APPLICATIONS TO NONLINEAR PROBLEMS

Chaotic Maps

Chaotic Maps

Vibration and Damping in Distributed Systems

Vibration and Damping in Distributed Systems

Quantum Computing Devices

Quantum Computing Devices

BOUNDARY ELEMENT METHODS WITH APPLICATIONS TO NONLINEAR PROBLEMS

BOUNDARY ELEMENT METHODS WITH APPLICATIONS TO NONLINEAR PROBLEMS

Mathematical Theory of Quantum Computation

Mathematical Theory of Quantum Computation

Vibration and Damping in Distributed Systems

Vibration and Damping in Distributed Systems

Proper Orthogonal Decomposition Methods for Partial Differential Equations

Proper Orthogonal Decomposition Methods for Partial Differential Equations

Vibration and Damping In Distributed Systems

Vibration and Damping In Distributed Systems

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