Here is a comprehensive introduction to the least-squares finite element method (LSFEM) for numerical solution of PDEs. It covers the theory for first-order systems, particularly the div-curl and the div-curl-grad system. Then LSFEM is applied systematically to permissible boundary conditions for the incompressible Navier-Stokes equations, to show that the divergence equations in the Maxwell equations are not redundant, and to derive equivalent second-order versions of the Navier-Stokes equations and the Maxwell equations. LSFEM is simple, efficient and robust, and can solve a wide range of problems in fluid dynamics and electromagnetics, including incompressible viscous flows, rotational inviscid flows, low-Mach-number compressible flows, two-fluid and convective flows, scattering waves, etc.

This book offers a general introduction to reaction time research as relevant to Second Language Studies and explores a collection of tasks and paradigms that are often used in such research. It provides a lucid explanation of the technical aspects of collecting reaction time data and outlines crucial research principles and concepts that will ensure accurate data. In addition, Conducting Reaction Time Research in Second Language Studies provides step-by-step instructions for using DMDX, a software program widely used for conducting reaction time research. From general guidelines to techniques to working with data, this complete "why and how" guide for conducting reaction time research is ideal for both students/beginners and more seasoned researchers.

Second Language Processing: An Introduction is the first textbook to offer a thorough introduction to the field of second language processing (SLP). The study of SLP seeks to illuminate the cognitive processes underlying the processing of a non-native language. While current literature tends to focus on one topic or area of research, this textbook aims to bring these different research strands together in a single volume, elucidating their particularities while also demonstrating the relationships between them. The book begins by outlining what is entailed in the study of SLP, how it relates to other fields of study, and some of the main issues shared across its subareas. It then moves into an exploration of the three major areas of current research in the field-phonological processing, lexical processing, and sentence processing. Each chapter provides a broad overview of the topic and covers the major research methods, models, and studies germane to that area of study. Ideal for students and researchers working in this growing field, Second Language Processing will serve as the go-to guide for a complete examination of the major topics of study in SLP.

This book offers a general introduction to reaction time research as relevant to Second Language Studies and explores a collection of tasks and paradigms that are often used in such research. It provides a lucid explanation of the technical aspects of collecting reaction time data and outlines crucial research principles and concepts that will ensure accurate data. In addition, Conducting Reaction Time Research in Second Language Studies provides step-by-step instructions for using DMDX, a software program widely used for conducting reaction time research. From general guidelines to techniques to working with data, this complete "why and how" guide for conducting reaction time research is ideal for both students/beginners and more seasoned researchers.

Here is a comprehensive introduction to the least-squares finite element method (LSFEM) for numerical solution of PDEs. It covers the theory for first-order systems, particularly the div-curl and the div-curl-grad system. Then LSFEM is applied systematically to permissible boundary conditions for the incompressible Navier-Stokes equations, to show that the divergence equations in the Maxwell equations are not redundant, and to derive equivalent second-order versions of the Navier-Stokes equations and the Maxwell equations. LSFEM is simple, efficient and robust, and can solve a wide range of problems in fluid dynamics and electromagnetics, including incompressible viscous flows, rotational inviscid flows, low-Mach-number compressible flows, two-fluid and convective flows, scattering waves, etc.

Second Language Processing: An Introduction is the first textbook to offer a thorough introduction to the field of second language processing (SLP). The study of SLP seeks to illuminate the cognitive processes underlying the processing of a non-native language. While current literature tends to focus on one topic or area of research, this textbook aims to bring these different research strands together in a single volume, elucidating their particularities while also demonstrating the relationships between them. The book begins by outlining what is entailed in the study of SLP, how it relates to other fields of study, and some of the main issues shared across its subareas. It then moves into an exploration of the three major areas of current research in the field-phonological processing, lexical processing, and sentence processing. Each chapter provides a broad overview of the topic and covers the major research methods, models, and studies germane to that area of study. Ideal for students and researchers working in this growing field, Second Language Processing will serve as the go-to guide for a complete examination of the major topics of study in SLP.

This book offers a detailed account of the issues, models, and outcomes of research into the cognition of bilingualism. The first chapter identifies the most important characteristics of this research and its historical developments, before the main part of the book explores studies of four bilingual processing topics. The first of these is lexico-semantic representation and organization in bilinguals, which deals with how words and meanings are represented and connected in the bilingual mind. The second, cross-language priming, explores the bilingual lexicon by examining how exposure to words in one language may affect word recognition in another and leads to the discovery of an asymmetry in translation priming. The third topic is selective lexical access in bilinguals, which examines whether bilinguals can selectively activate one language while suppressing the other, while the fourth is code switching, focussing on language control and language regulation mechanisms in bilinguals. The book concludes with a chapter that reviews research in three areas beyond lexical processing: autobiographical memory, the representation and interaction of syntactic knowledge, and the consequences of bilingualism. The volume demonstrates the theoretical significance and real-world practical implications of research into bilingual language processing, and will be a valuable resource for seminars and courses from advanced undergraduate level upwards.

This book offers a detailed account of the issues, models, and outcomes of research into the cognition of bilingualism. The first chapter identifies the most important characteristics of this research and its historical developments, before the main part of the book explores studies of four bilingual processing topics. The first of these is lexico-semantic representation and organization in bilinguals, which deals with how words and meanings are represented and connected in the bilingual mind. The second, cross-language priming, explores the bilingual lexicon by examining how exposure to words in one language may affect word recognition in another and leads to the discovery of an asymmetry in translation priming. The third topic is selective lexical access in bilinguals, which examines whether bilinguals can selectively activate one language while suppressing the other, while the fourth is code switching, focussing on language control and language regulation mechanisms in bilinguals. The book concludes with a chapter that reviews research in three areas beyond lexical processing: autobiographical memory, the representation and interaction of syntactic knowledge, and the consequences of bilingualism. The volume demonstrates the theoretical significance and real-world practical implications of research into bilingual language processing, and will be a valuable resource for seminars and courses from advanced undergraduate level upwards.