Weimin Han's Books

Numerical Solution of Ordinary Differential Equations

By: Kendall Atkinson,Weimin Han,David E. Stewart

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Numerical Solution of Ordinary Differential Equations

By: Kendall Atkinson,Weimin Han,David E. Stewart

A concise introduction to numerical methodsand the mathematicalframework neededto understand their performance Numerical Solution of Ordinary Differential Equationspresents a complete and easy-to-follow introduction to classicaltopics in the numerical solution of ordinary differentialequations. The book's approach not only explains the presentedmathematics, but also helps readers understand how these numericalmethods are used to solve real-world problems. Unifying perspectives are provided throughout the text, bringingtogether and categorizing different types of problems in order tohelp readers comprehend the applications of ordinary differentialequations. In addition, the authors' collective academic experienceensures a coherent and accessible discussion of key topics,including: Euler's method Taylor and Runge-Kutta methods General error analysis for multi-step methods Stiff differential equations Differential algebraic equations Two-point boundary value problems Volterra integral equations Each chapter features problem sets that enable readers to testand build their knowledge of the presented methods, and a relatedWeb site features MATLAB® programs that facilitate theexploration of numerical methods in greater depth. Detailedreferences outline additional literature on both analytical andnumerical aspects of ordinary differential equations for furtherexploration of individual topics. Numerical Solution of Ordinary Differential Equations isan excellent textbook for courses on the numerical solution ofdifferential equations at the upper-undergraduate and beginninggraduate levels. It also serves as a valuable reference forresearchers in the fields of mathematics and engineering.

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Page Count

272

Publisher

John Wiley & Sons

Published Date

ISBN 10

1118164520

ISBN 13

9781118164525

Theoretical Numerical Analysis

A Functional Analysis Framework

By: Kendall Atkinson,Weimin Han

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Theoretical Numerical Analysis

A Functional Analysis Framework

By: Kendall Atkinson,Weimin Han

This textbook prepares graduate students for research in numerical analysis/computational mathematics by giving to them a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps the student to move rapidly into a research program. The text covers basic results of functional analysis, approximation theory, Fourier analysis and wavelets, iteration methods for nonlinear equations, finite difference methods, Sobolev spaces and weak formulations of boundary value problems, finite element methods, elliptic variational inequalities and their numerical solution, numerical methods for solving integral equations of the second kind, and boundary integral equations for planar regions. The presentation of each topic is meant to be an introduction with certain degree of depth. Comprehensive references on a particular topic are listed at the end of each chapter for further reading and study. Because of the relevance in solving real world problems, multivariable polynomials are playing an ever more important role in research and applications. In this third editon, a new chapter on this topic has been included and some major changes are made on two chapters from the previous edition. In addition, there are numerous minor changes throughout the entire text and new exercises are added. Review of earlier edition: "...the book is clearly written, quite pleasant to read, and contains a lot of important material; and the authors have done an excellent job at balancing theoretical developments, interesting examples and exercises, numerical experiments, and bibliographical references." R. Glowinski, SIAM Review, 2003

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631

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1441904581

ISBN 13

9781441904584

Plasticity

Mathematical Theory and Numerical Analysis

By: Weimin Han,B. Daya Reddy

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Plasticity

Mathematical Theory and Numerical Analysis

By: Weimin Han,B. Daya Reddy

Focussing on theoretical aspects of the small-strain theory of hardening elastoplasticity, this monograph provides a comprehensive and unified treatment of the mathematical theory and numerical analysis, exploiting in particular the great advantages gained by placing the theory in a convex analytic context. Divided into three parts, the first part of the text provides a detailed introduction to plasticity, in which the mechanics of elastoplastic behaviour is emphasised, while the second part is taken up with mathematical analysis of the elastoplasticity problem. The third part is devoted to error analysis of various semi-discrete and fully discrete approximations for variational formulations of the elastoplasticity.

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376

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387226575

ISBN 13

9780387226576

The Pop Music and the Classical Chinese Metered Poems

By: Weimin Liang

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The Pop Music and the Classical Chinese Metered Poems

By: Weimin Liang

All my Chinese poems follow the rules and forms of classical poetic composition exactly.

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Page Count

556

Publisher

Partridge Publishing Singapore

Published Date

ISBN 10

154375578X

ISBN 13

9781543755787

Polymer 3D Printing and 3D Copying Technology

By: Weimin Yang,Ranran Jian

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Polymer 3D Printing and 3D Copying Technology

By: Weimin Yang,Ranran Jian

This book focuses on 3D printing and molding/ copying technologies and approaches, which innovatively proposes the concept of polymer 3D copying technology. It introduces the two technologies of polymer 3D printing and 3D copying by analogy and elaborates the core principles and processes of polymer 3D copying technology, the composition, basic parameters and structure design of polymer 3D copying machines, precision control methods, defect generation mechanism and solutions of polymer 3D copying products, and also discussed the future development of polymer 3D copying technology. The novel concept of 3D copying is one of the major features of the book, which is particularly suited for readers who are interested in rapid prototyping and molding. The book is based on both traditional and new knowledges, with novel content and concept, focusing on both principles and engineering practice. It systematically reflects the content and application of polymer 3D printing and 3D copying technology, which can benefit researchers, engineers, and students of related majors engaged in the fields of polymer processing, rapid prototyping, 3D printing and molding/ copying, etc.

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Page Count

320

Publisher

Springer Nature

Published Date

ISBN 10

9819901014

ISBN 13

9789819901012

Life On The Cusp

By: Weimin Wu

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Life On The Cusp

By: Weimin Wu

IN THE NEWSWeimin Wu: pioneer physicist on Chinese science's turbulent past, promising futureTimes Higher Education, 25 February 2016While the first 30 years of new China's scientific development was a self-reliant era marked by the detonations of the atomic bomb, the hydrogen bomb, and the launch of the first artificial satellite, the second 30 years after the reform and opening up was signified by the introduction of the Internet to China. Weimin Wu is a unique legendary figure whose career spanned both periods. He not only contributed to the bomb and satellite projects, but also sent out the email from China to Switzerland in 1986, which was listed as the first event in the history of China's Internet development. The Tiananmen Square Protest in 1989 changed his life's trajectory, leading him to eventually immigrate to the US. His personal emotional life is also remarkable. With his experiences immersed in both Eastern and Western cultures, Wu came to believe in the convergence theory of social development, which provides a refreshing perspective for the readers. The autobiography records the details of his legendary life stories, from taking pictures with the Chinese leader Mao Zedong, to shaking hands with Deng Xiaoping; from being removed from the Institute of High Energy Physics, to the repealing of his Chinese passport. The story line is full of engaging ups and downs. In that turbulent era, Wu's rich emotional experiences and love stories were also a mirror for the Chinese society, with some details comparable to the plots of suspense novels and movies. The book is well illustrated with many pictures and flows smoothly with a simple writing style. The stories are factual and moving, all too realistic. The author has sincerely revealed his true self to the reader, and at the same time, faithfully described that period of history, giving the reader a grasp on the true workings of history. His comparison of the Eastern and Western cultures, analysis of science and superstition, interpretation of religion and arts, and his 'convergence' theory of social development, are all unique and insightful. This book faithfully tells Weimin's professional and personal life on the cusp and takes readers on a journey to explore true history through an ordinary person's stories.

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374

Publisher

World Scientific

Published Date

ISBN 10

9814630039

ISBN 13

9789814630030

Way Of Data, The: From Technology To Applications

By: Hequan Wu,Weimin Zheng

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Way Of Data, The: From Technology To Applications

By: Hequan Wu,Weimin Zheng

Everyone is already in the era of big data. It is gradually changing people's lifestyles. Therefore, it is necessary to explore the development path of big data, balance the relationship between technology, policy, and the market, so that it can better serve human society.This comprehensive book introduces what big data is, big data processing systems, big data management technologies, and big data analysis methods in an easy-to-understand language. It explains the specific applications of big data in smart government affairs, economic development, and the improvement of people's livelihood and welfare.

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Page Count

200

Publisher

World Scientific

Published Date

ISBN 10

981125009X

ISBN 13

9789811250095

Nanoimprint Lithography: An Enabling Process for Nanofabrication

By: Weimin Zhou

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Nanoimprint Lithography: An Enabling Process for Nanofabrication

By: Weimin Zhou

Nanoimprint Lithography: An enabling process for nanofabrication presents a comprehensive description of nanotechnology that is one of the most promising low-cost, high-throughput technologies for manufacturing nanostructures, and an emerging lithography candidates for 22, 16 and 11 nm nodes. It provides the exciting, multidisciplinary field, offering a wide range of topics covering: principles, process, material and application. This book would be of specific interest for researchers and graduate students in the field of nanoscience, nanotechnology and nanofabrication, material, physical, chemical, electric engineering and biology. Dr. Weimin Zhou is an associate professor at Shanghai Nanotechnology Promotion Center, China.

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Page Count

270

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642344283

ISBN 13

9783642344282

Performance Analysis of Parallel Applications for HPC

By: Jidong Zhai,Yuyang Jin,Wenguang Chen,Weimin Zheng

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Performance Analysis of Parallel Applications for HPC

By: Jidong Zhai,Yuyang Jin,Wenguang Chen,Weimin Zheng

This book presents a hybrid static-dynamic approach for efficient performance analysis of parallel applications on HPC systems. Performance analysis is essential to finding performance bottlenecks and understanding the performance behaviors of parallel applications on HPC systems. However, current performance analysis techniques usually incur significant overhead. Our book introduces a series of approaches for lightweight performance analysis. We combine static and dynamic analysis to reduce the overhead of performance analysis. Based on this hybrid static-dynamic approach, we then propose several innovative techniques for various performance analysis scenarios, including communication analysis, memory analysis, noise analysis, computation analysis, and scalability analysis. Through these specific performance analysis techniques, we convey to readers the idea of using static analysis to support dynamic analysis. To gain the most from the book, readers should have a basic grasp of parallel computing, computer architecture, and compilation techniques.

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Page Count

259

Publisher

Springer Nature

Published Date

ISBN 10

9819943663

ISBN 13

9789819943661

A Multimodal Approach to Video Games and the Player Experience

By: Weimin Toh

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A Multimodal Approach to Video Games and the Player Experience

By: Weimin Toh

This volume puts forth an original theoretical framework, the ludonarrative model, for studying video games which foregrounds the empirical study of the player experience. The book provides a comprehensive introduction to and description of the model, which draws on theoretical frameworks from multimodal discourse analysis, game studies, and social semiotics, and its development out of participant observation and qualitative interviews from the empirical study of a group of players. The volume then applies this approach to shed light on how players’ experiences in a game influence how they understand and make use of game components in order to progress its narrative. The book concludes with a frame by frame analysis of a popular game to demonstrate the model’s principles in action and its subsequent broader applicability to analyzing video game interaction and design. Offering a new way forward for video game research, this volume is key reading for students and scholars in multimodality, discourse analysis, game studies, interactive storytelling, and new media.

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Page Count

241

Publisher

Routledge

Published Date

ISBN 10

135118475X

ISBN 13

9781351184755

Microwave and Millimeter-Wave Chips Based on Thin-Film Integrated Passive Device Technology

Design and Simulation

By: Yongle Wu,Weimin Wang

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Microwave and Millimeter-Wave Chips Based on Thin-Film Integrated Passive Device Technology

Design and Simulation

By: Yongle Wu,Weimin Wang

This book adopts the latest academic achievements of microwave and millimeter-wave chips based on thin-film integrated passive device technology as specific cases. Coherent processes of basic theories and design implementations of microwave and millimeter-wave chips are presented in detail. It forms a complete system from design theory, circuit simulation, full-wave electromagnetic simulation, and fabrication to measurement. Five representative microwave and millimeter-wave passive chips based on TFIPD technology are taken as examples to demonstrate the complete process from theory, design, simulation, fabrication, and measurement, which is comprehensive, systematical, and easy to learn and understand, convenient to operate, and close to the practical application. This book is mainly aimed at the design and simulation of microwave and millimeter-wave chips based on thin-film integrated passive device technology. On the basis of specific cases, it introduces the whole process from theory, design, simulation, optimization, fabrication to measurement of the balanced filter, microstrip filter, absorptive filter, power divider, and balun. This book is suitable for the professional technicians who are engaged in the design and engineering application of microwave and millimeter-wave device chips. It can also be used as the textbook of electronic science and technology, electromagnetic field and microwave technology, electronic engineering, radar engineering, integrated circuit, and other related majors in colleges and universities.

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Page Count

323

Publisher

Springer Nature

Published Date

ISBN 10

9819914558

ISBN 13

9789819914555

Plasticity

Mathematical Theory and Numerical Analysis

By: Weimin Han,B. Daya Reddy

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Plasticity

Mathematical Theory and Numerical Analysis

By: Weimin Han,B. Daya Reddy

This book focuses on the theoretical aspects of small strain theory of elastoplasticity with hardening assumptions. It provides a comprehensive and unified treatment of the mathematical theory and numerical analysis. It is divided into three parts, with the first part providing a detailed introduction to plasticity, the second part covering the mathematical analysis of the elasticity problem, and the third part devoted to error analysis of various semi-discrete and fully discrete approximations for variational formulations of the elastoplasticity. This revised and expanded edition includes material on single-crystal and strain-gradient plasticity. In addition, the entire book has been revised to make it more accessible to readers who are actively involved in computations but less so in numerical analysis. Reviews of earlier edition: “The authors have written an excellent book which can be recommended for specialists in plasticity who wish to know more about the mathematical theory, as well as those with a background in the mathematical sciences who seek a self-contained account of the mechanics and mathematics of plasticity theory.” (ZAMM, 2002) “In summary, the book represents an impressive comprehensive overview of the mathematical approach to the theory and numerics of plasticity. Scientists as well as lecturers and graduate students will find the book very useful as a reference for research or for preparing courses in this field.” (Technische Mechanik) "The book is professionally written and will be a useful reference to researchers and students interested in mathematical and numerical problems of plasticity. It represents a major contribution in the area of continuum mechanics and numerical analysis." (Math Reviews)

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Page Count

428

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461459400

ISBN 13

9781461459408

Theoretical Numerical Analysis

A Functional Analysis Framework

By: Kendall Atkinson,Weimin Han

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Theoretical Numerical Analysis

A Functional Analysis Framework

By: Kendall Atkinson,Weimin Han

This book gives an introduction to functional analysis in a way that is tailored to fit the needs of the researcher or student. The book explains the basic results of functional analysis as well as relevant topics in numerical analysis. Applications of functional analysis are given by considering numerical methods for solving partial differential equations and integral equations. The material is especially useful for researchers and students who wish to work in theoretical numerical analysis and seek a background in the "tools of the trade" covered in this book.

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Page Count

466

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387215263

ISBN 13

9780387215266

Analysis and Approximation of Contact Problems with Adhesion or Damage

By: Mircea Sofonea,Weimin Han,Meir Shillor

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Analysis and Approximation of Contact Problems with Adhesion or Damage

By: Mircea Sofonea,Weimin Han,Meir Shillor

Research into contact problems continues to produce a rapidly growing body of knowledge. Recognizing the need for a single, concise source of information on models and analysis of contact problems, accomplished experts Sofonea, Han, and Shillor carefully selected several models and thoroughly study them in Analysis and Approximation of Contact P

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Page Count

220

Publisher

CRC Press

Published Date

ISBN 10

1420034839

ISBN 13

9781420034837

A Posteriori Error Analysis Via Duality Theory

With Applications in Modeling and Numerical Approximations

By: Weimin Han

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A Posteriori Error Analysis Via Duality Theory

With Applications in Modeling and Numerical Approximations

By: Weimin Han

This work provides a posteriori error analysis for mathematical idealizations in modeling boundary value problems, especially those arising in mechanical applications, and for numerical approximations of numerous nonlinear var- tional problems. An error estimate is called a posteriori if the computed solution is used in assessing its accuracy. A posteriori error estimation is central to m- suring, controlling and minimizing errors in modeling and numerical appr- imations. In this book, the main mathematical tool for the developments of a posteriori error estimates is the duality theory of convex analysis, documented in the well-known book by Ekeland and Temam ([49]). The duality theory has been found useful in mathematical programming, mechanics, numerical analysis, etc. The book is divided into six chapters. The first chapter reviews some basic notions and results from functional analysis, boundary value problems, elliptic variational inequalities, and finite element approximations. The most relevant part of the duality theory and convex analysis is briefly reviewed in Chapter 2.

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Page Count

312

Publisher

Springer Science & Business Media

Published Date

ISBN 10

038723537X

ISBN 13

9780387235370

Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity

By: Weimin Han,Mircea Sofonea

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Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity

By: Weimin Han,Mircea Sofonea

Índice: Function spaces and their properties; Introduction to finite difference and finite element approximations; Variational inequalities; Constitutive relations in solid mechanics; Background on variational and numerical analysis in contact mechanics; Contact problems in elasticity; Bilateral contact with slip dependent friction; Frictional contact with normal compliance; Frictional contact with normal damped response; Other viscoelastic contact problems; Frictionless contact with dissipative potential; Frictionless contact between two viscoplastic bodies; Bilateral contact with Tresca's friction law; Other viscoelastic contact problems; Bibliography; Index.

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Page Count

464

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821831925

ISBN 13

9780821831922

Numerical Solution of Ordinary Differential Equations

By: Kendall Atkinson,Weimin Han,David E. Stewart

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Numerical Solution of Ordinary Differential Equations

By: Kendall Atkinson,Weimin Han,David E. Stewart

A concise introduction to numerical methodsand the mathematical framework neededto understand their performance Numerical Solution of Ordinary Differential Equations presents a complete and easy-to-follow introduction to classical topics in the numerical solution of ordinary differential equations. The book's approach not only explains the presented mathematics, but also helps readers understand how these numerical methods are used to solve real-world problems. Unifying perspectives are provided throughout the text, bringing together and categorizing different types of problems in order to help readers comprehend the applications of ordinary differential equations. In addition, the authors' collective academic experience ensures a coherent and accessible discussion of key topics, including: Euler's method Taylor and Runge-Kutta methods General error analysis for multi-step methods Stiff differential equations Differential algebraic equations Two-point boundary value problems Volterra integral equations Each chapter features problem sets that enable readers to test and build their knowledge of the presented methods, and a related Web site features MATLAB® programs that facilitate the exploration of numerical methods in greater depth. Detailed references outline additional literature on both analytical and numerical aspects of ordinary differential equations for further exploration of individual topics. Numerical Solution of Ordinary Differential Equations is an excellent textbook for courses on the numerical solution of differential equations at the upper-undergraduate and beginning graduate levels. It also serves as a valuable reference for researchers in the fields of mathematics and engineering.

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Page Count

270

Publisher

John Wiley & Sons

Published Date

ISBN 10

047004294X

ISBN 13

9780470042946

Spherical Harmonics and Approximations on the Unit Sphere: An Introduction

By: Kendall Atkinson,Weimin Han

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Spherical Harmonics and Approximations on the Unit Sphere: An Introduction

By: Kendall Atkinson,Weimin Han

These notes provide an introduction to the theory of spherical harmonics in an arbitrary dimension as well as an overview of classical and recent results on some aspects of the approximation of functions by spherical polynomials and numerical integration over the unit sphere. The notes are intended for graduate students in the mathematical sciences and researchers who are interested in solving problems involving partial differential and integral equations on the unit sphere, especially on the unit sphere in three-dimensional Euclidean space. Some related work for approximation on the unit disk in the plane is also briefly discussed, with results being generalizable to the unit ball in more dimensions.

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