Homogenization Algebras and Applications: A Deterministic Homogenization Theory
暫譯: 均質化代數及其應用：一種確定性均質化理論
Nguetseng, Gabriel
- 出版商: Springer
- 出版日期: 2025-04-25
- 售價: $6,840
- 貴賓價: 9.8 折 $6,703
- 語言: 英文
- 頁數: 415
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3031847040
- ISBN-13: 9783031847042
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相關分類:
數值分析 Numerical-analysis
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相關主題
商品描述
The book presents a deterministic homogenization theory intended for the mathematical analysis of non-stochastic multiscale problems, both within and beyond the periodic setting. The main tools are the so-called homogenization algebras, the classical Gelfand representation theory, and a class of actions by the multiplicative group of positive real numbers on numerical spaces. The basic approach is the Sigma-convergence method, which generalizes the well-known two-scale convergence procedure. Numerous problems are worked out to illustrate the theory and highlight its broad applicability. The book is primarily intended for researchers (including PhD students) and lecturers interested in periodic as well as non-periodic homogenization theory.
商品描述(中文翻譯)
本書介紹了一種確定性均質化理論，旨在對非隨機多尺度問題進行數學分析，無論是在週期性設定內還是超出該範疇。主要工具包括所謂的均質化代數、經典的 Gelfand 表示理論，以及一類由正實數的乘法群對數值空間的作用。基本方法是 Sigma 收斂法，該方法概括了著名的雙尺度收斂程序。書中詳細解決了許多問題，以說明理論並突顯其廣泛的應用性。本書主要針對對週期性及非週期性均質化理論感興趣的研究人員（包括博士生）和講師。
作者簡介
Gabriel Nguetseng was born in 1950 in Foto, Cameroon. He earned his PhD in 1984 from Université Pierre et Marie Curie, Paris 6. He was appointed Senior Lecturer in 1985 at the University of Yaoundé and promoted to Associate Professor six years later. Since 2004, he has served as a Professor of Mathematics. Gabriel Nguetseng is a co-initiator, along with Grégoire Allaire, of the well-known two-scale convergence theory, which underpins a widely used homogenization procedure. He has held visiting professor positions at several universities and research institutions and has been an invited speaker at numerous conferences. Additionally, he served as the organizer of the mini-symposium "Homogenization and its Applications" at ICIAM 2011 in Vancouver, Canada. He was the Secretary General of the Cameroonian Mathematical Society and the former Director of the University Center for Information Technology (Centre de Calcul) at the University of Yaoundé.
作者簡介(中文翻譯)
加布里埃爾·恩圭滕（Gabriel Nguetseng）於1950年出生於喀麥隆的福托（Foto）。他於1984年在巴黎第六大學（Université Pierre et Marie Curie）獲得博士學位。1985年，他被任命為雅溫得大學（University of Yaoundé）的高級講師，並在六年後晉升為副教授。自2004年以來，他擔任數學教授。加布里埃爾·恩圭滕與格雷戈瓦·阿萊爾（Grégoire Allaire）共同發起了著名的雙尺度收斂理論，該理論是廣泛使用的均質化程序的基礎。他曾在多所大學和研究機構擔任訪問教授，並在多個會議上擔任受邀演講者。此外，他還擔任了2011年在加拿大溫哥華舉行的ICIAM的迷你研討會「均質化及其應用」的組織者。他曾擔任喀麥隆數學學會的秘書長，以及雅溫得大學資訊技術中心（Centre de Calcul）的前主任。
