Numerical Approximations of Stochastic Maxwell Equations: via Structure-Preserving Algorithms

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The stochastic Maxwell equations play an essential role in many fields, including fluctuational electrodynamics, statistical radiophysics, integrated circuits, and stochastic inverse problems. This book provides some recent advances in the investigation of numerical approximations of the stochastic Maxwell equations via structure-preserving algorithms. It presents an accessible overview of the construction and analysis of structure-preserving algorithms with an emphasis on the preservation of geometric structures, physical properties, and asymptotic behaviors of the stochastic Maxwell equations. A friendly introduction to the simulation of the stochastic Maxwell equations with some structure-preserving algorithms is provided using MATLAB for the reader’s convenience. The objects considered in this book are related to several fascinating mathematical fields: numerical analysis, stochastic analysis, (multi-)symplectic geometry, large deviations principle, ergodic theory, partial differential equation, probability theory, etc. This book will appeal to researchers who are interested in these topics.

Keystone (Audio files via QR code)

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內容簡介 　　Keystone是專為大專校院英語課程所編寫的英語教材，以 12 個日常生活常見主題為軸心，包括：休閒娛樂、電話英語、校園生活、文化交流等，發展出真實的對話語境和豐富的閱讀文本。各單元皆整理出重點字彙和文法，幫助學習者建立穩固的英語基礎，再透過聽、說、讀、寫不同面向的學習策略，有效培養全方位的英語技能。 　　Keystone offers theme-based learning materials and focused practice to enhance college students’ listening, speaking, reading and writing skills for major integrative proficiency tests. It also enhances students’ learning of target vocabulary and grammar points in each unit through spiral ordering which allows students to revisit the to-be-learned items in focused, meaningful contexts. 目錄 Unit 1 Meeting People ------------- Listening --------------- Speaking --------------- Ways to Say --------------- Reading --------------- Extended Reading --------------- Writing--------------- Unit 2 Foods and Drinks ------------ Listening --------------- Speaking --------------- Ways to Say --------------- Reading --------------- Extended Reading --------------- Writing--------------- Unit 3 Entertainment ------------- Listening --------------- Speaking --------------- Ways to Say --------------- Reading --------------- Extended Reading --------------- Writing--------------- Unit 4 Telephone English ---------- Listening --------------- Speaking --------------- Ways to Say --------------- Reading --------------- Extended Reading --------------- Writing--------------- Unit 5 Problem-solving in the Workplace --------------- Listening --------------- Speaking --------------- Ways to Say --------------- Reading --------------- Extended Reading --------------- Writing--------------- Unit 6 Viewpoint -------------- Listening --------------- Speaking --------------- Ways to Say --------------- Reading --------------- Extended Reading --------------- Writing--------------- Unit 7 Campus Life --------------- Listening --------------- Speaking --------------- Ways to Say --------------- Reading --------------- Extended Reading --------------- Writing--------------- Unit 8 Hobbies --------------- Listening --------------- Speaking --------------- Ways to Say --------------- Reading --------------- Extended Reading --------------- Writing--------------- Unit 9 Airport --------------- Listening --------------- Speaking --------------- Ways to Say --------------- Reading --------------- Extended Reading --------------- Writing--------------- Unit 10 Traveling --------------- Listening --------------- Speaking --------------- Ways to Say --------------- Reading --------------- Extended Reading --------------- Writing--------------- Unit 11 East Meets West ----------- Listening --------------- Speaking --------------- Ways to Say --------------- Reading --------------- Extended Reading --------------- Writing--------------- Unit 12 Shopping --------------- Listening --------------- Speaking --------------- Ways to Say --------------- Reading --------------- Extended Reading --------------- Writing--------------- Appendix- Vocabulary List ------------