Along with finite differences and finite elements, spectral methods are one of the three main methodologies for solving partial differential equations on computers. This book provides a detailed presentation of basic spectral algorithms, as well as a systematical presentation of basic convergence theory and error analysis for spectral methods. Readers of this book will be exposed to a unified framework for designing and analyzing spectral algorithms for a variety of problems, including in particular high-order differential equations and problems in unbounded domains. The book contains a large number of figures which are designed to illustrate various concepts stressed in the book. A set of basic matlab codes has been made available online to help the readers to develop their own spectral codes for their specific applications.

Acting Chinese is a year-long course that, together with the companion website, integrates language learning with the acquisition of cultural knowledge, and treats culture as an integral part of human behavior and communication. Using modern day examples of Chinese discourse and behavioral culture, it trains students to perform in culturally appropriate fashion, whilst developing a systematic awareness and knowledge about Chinese philosophy, values and belief systems that will prepare them for further advanced study of Chinese language and culture. Each lesson contains simulated real-life communication scenarios that aim to provide a concrete opportunity to see how native speakers generally communicate or behave in social situations. An essential guide for intermediate to advanced level second language learners, Acting Chinese provides a unique and modern approach to the acquisition of both cultural knowledge and language proficiency.

Acting Chinese is a year-long course that, together with the companion website, integrates language learning with the acquisition of cultural knowledge, and treats culture as an integral part of human behavior and communication. Using modern day examples of Chinese discourse and behavioral culture, it trains students to perform in culturally appropriate fashion, whilst developing a systematic awareness and knowledge about Chinese philosophy, values and belief systems that will prepare them for further advanced study of Chinese language and culture. Each lesson contains simulated real-life communication scenarios that aim to provide a concrete opportunity to see how native speakers generally communicate or behave in social situations. An essential guide for intermediate to advanced level second language learners, Acting Chinese provides a unique and modern approach to the acquisition of both cultural knowledge and language proficiency.

Along with finite differences and finite elements, spectral methods are one of the three main methodologies for solving partial differential equations on computers. This book provides a detailed presentation of basic spectral algorithms, as well as a systematical presentation of basic convergence theory and error analysis for spectral methods. Readers of this book will be exposed to a unified framework for designing and analyzing spectral algorithms for a variety of problems, including in particular high-order differential equations and problems in unbounded domains. The book contains a large number of figures which are designed to illustrate various concepts stressed in the book. A set of basic matlab codes has been made available online to help the readers to develop their own spectral codes for their specific applications.