Wei Cai – författare

This book presents a broad collection of models and computational methods - from atomistic to continuum - applied to crystal dislocations. Its purpose is to help students and researchers in computational materials sciences to acquire practical knowledge of relevant simulation methods. Because their behavior spans multiple length and time scales, crystal dislocations present a common ground for an in-depth discussion of a variety of computational approaches, including their relative strengths, weaknesses and inter-connections. The details of the covered methods are presented in the form of "numerical recipes" and illustrated by case studies. A suite of simulation codes and data files is made available on the book's website to help the reader "to learn-by-doing" through solving the exercise problems offered in the book.

This respected high-level text is aimed at students and professionals working on random processes in various areas, including physics and finance. The first author, Melvin Lax (1922-2002) was a distinguished Professor of Physics at City College of New York and a member of the U. S. National Academy of Sciences, and is widely known for his contributions to our understanding of random processes in physics. Most chapters of this book are outcomes of the class notes which Lax taught at the City University of New York from 1985 to 2001. The material is unique as it presents the theoretical framework of Lax's treatment of random processes, from basic probability theory to Fokker-Planck and Langevin Processes, and includes diverse applications, such as explanations of very narrow laser width, analytical solutions of the elastic Boltzmann transport equation, and a critical viewpoint of mathematics currently used in the world of finance.

This text is aimed at professionals and students working on random processes in various areas, including physics and finance. The first author, Melvin Lax (1922-2002), was a distinguished Professor of Physics at City College of New York and a member of the U. S. National Academy of Sciences, widely known for his contribution on random processes in physics. Most chapters of this book are the outcome of the class notes which Lax taught at the City University of New York from 1985 to 2001. The material is unique as it presents the theoretical framework of Lax's treatment of random processes, starting from basic probability theory, to Fokker-Planck and Langevin Processes, and includes diverse applications, such as explanation of very narrow laser width and analytical solution of the elastic Boltzmann transport equation. Lax's critical viewpoint on mathematics currently used in the financial world is also presented in this book.

This book presents a broad collection of models and computational methods - from atomistic to continuum - applied to crystal dislocations. Its purpose is to help students and researchers in computational materials sciences to acquire practical knowledge of relevant simulation methods. Because their behavior spans multiple length and time scales, crystal dislocations present a common ground for an in-depth discussion of a variety of computational approaches, including their relative strengths, weaknesses and inter-connections. The details of the covered methods are presented in the form of 'numerical recipes' and illustrated by case studies. A suite of simulation codes and data files is made available on the book's website to help the reader 'to learn-by-doing' through solving the exercise problems offered in the book.

Teaching and Researching Chinese Second Language Listening focuses on Chinese L2 listening with theory and pedagogy at its heart. The objectives of the book are to recount the development of Chinese L2 listening pedagogy, to synthesize research on Chinese L2 listening, and to propose a Chinese L2 listening approach.This book is the first to bridge the gap between Chinese L2 and general L2 listening and develop a much-needed systematic teaching approach to Chinese listening based on research findings in L2 listening, the unique features of the Chinese language, and the distinctive characteristics of the Chinese L2 learner population. This book grounds Chinese L2 teaching in solid theories of L2 acquisition and teaching. The research-informed and evidence-based Chinese L2 teaching approach proposed in the book seeks to move beyond the traditional product-oriented approach to integrate form-, meaning-, process-, and learner-focused listening. This book also discusses Chinese L2 listening from learners’ perspectives: heritage versus non-heritage learners and motivation. These are presented together with theory and teaching practice.The book is aimed at researchers, in-service teachers and students taking upper-level undergraduate courses and postgraduate courses for programs in Chinese applied linguistics and teaching Chinese as a second language (TCSL).Chinese listening studies to date have mostly been published in the Chinese language, which severely limits their readership. This book is therefore written in English to fill the gap in current scholarship. Due to a large number of Chinese learners and the consequential booming programs in TCSL and CIE (Chinese international education), it is important to dedicate a book specifically to Chinese listening.

Teaching and Researching Chinese Second Language Listening focuses on Chinese L2 listening with theory and pedagogy at its heart. The objectives of the book are to recount the development of Chinese L2 listening pedagogy, to synthesize research on Chinese L2 listening, and to propose a Chinese L2 listening approach.This book is the first to bridge the gap between Chinese L2 and general L2 listening and develop a much-needed systematic teaching approach to Chinese listening based on research findings in L2 listening, the unique features of the Chinese language, and the distinctive characteristics of the Chinese L2 learner population. This book grounds Chinese L2 teaching in solid theories of L2 acquisition and teaching. The research-informed and evidence-based Chinese L2 teaching approach proposed in the book seeks to move beyond the traditional product-oriented approach to integrate form-, meaning-, process-, and learner-focused listening. This book also discusses Chinese L2 listening from learners’ perspectives: heritage versus non-heritage learners and motivation. These are presented together with theory and teaching practice.The book is aimed at researchers, in-service teachers and students taking upper-level undergraduate courses and postgraduate courses for programs in Chinese applied linguistics and teaching Chinese as a second language (TCSL).Chinese listening studies to date have mostly been published in the Chinese language, which severely limits their readership. This book is therefore written in English to fill the gap in current scholarship. Due to a large number of Chinese learners and the consequential booming programs in TCSL and CIE (Chinese international education), it is important to dedicate a book specifically to Chinese listening.

A unique and comprehensive graduate text and reference on numerical methods for electromagnetic phenomena, from atomistic to continuum scales, in biology, optical-to-micro waves, photonics, nanoelectronics and plasmas. The state-of-the-art numerical methods described include: • Statistical fluctuation formulae for the dielectric constant • Particle-Mesh-Ewald, Fast-Multipole-Method and image-based reaction field method for long-range interactions • High-order singular/hypersingular (Nyström collocation/Galerkin) boundary and volume integral methods in layered media for Poisson-Boltzmann electrostatics, electromagnetic wave scattering and electron density waves in quantum dots • Absorbing and UPML boundary conditions • High-order hierarchical Nédélec edge elements • High-order discontinuous Galerkin (DG) and Yee finite difference time-domain methods • Finite element and plane wave frequency-domain methods for periodic structures • Generalized DG beam propagation method for optical waveguides • NEGF(Non-equilibrium Green's function) and Wigner kinetic methods for quantum transport • High-order WENO and Godunov and central schemes for hydrodynamic transport • Vlasov-Fokker-Planck and PIC and constrained MHD transport in plasmas

This textbook provides students with a complete working knowledge of the properties of imperfections in crystalline solids. Readers will learn how to apply the fundamental principles of mechanics and thermodynamics to defect properties in materials science, gaining all the knowledge and tools needed to put this into practice in their own research. Beginning with an introduction to defects and a brief review of basic elasticity theory and statistical thermodynamics, the authors go on to guide the reader in a step-by-step way through point, line, and planar defects, with an emphasis on their structural, thermodynamic, and kinetic properties. Numerous end-of-chapter exercises enable students to put their knowledge into practice, and with solutions for instructors and MATLAB® programs available online, this is an essential text for advanced undergraduate and introductory graduate courses in crystal defects, as well as being ideal for self-study.

The book explores principled methodologies for integrating artificial intelligence (AI) into language learning and teaching. It investigates the features of learner-AI interactions, second language (L2) acquisition theories and teaching methodologies, ChatGPT’s role in the development of the four language skills (listening, speaking, reading and writing), ChatGPT’s integration with form-focused, meaning-focused and content-based language learning, and individual differences in AI-facilitated learning. The book distinguishes itself by integrating theoretical evidence and practical applications, fostering an in-depth understanding of the application of AI in language education. By blending L2 acquisition theories and traditional pedagogy with the transformative capabilities of AI, this book offers a fresh perspective on language instruction. While the examples drawn on are from the teaching of Chinese and English as L2, the underlying principles, methodologies, and AI applications are relevant and can be directly applied to learning and teaching other languages.

This book offers an in-depth exploration of the unique landscape of Chinese language learning and teaching in Canada.

This book introduces the fundamental concepts, methods, and applications of Hausdorff calculus, with a focus on its applications in fractal systems. Topics such as the Hausdorff diffusion equation, Hausdorff radial basis function, Hausdorff derivative nonlinear systems, PDE modeling, statistics on fractals, etc. are discussed in detail. It is an essential reference for researchers in mathematics, physics, geomechanics, and mechanics.