Fractional Differential Equations: An Approach Via Fractional Derivatives
暫譯: 分數微分方程：透過分數導數的方法

Jin, Bangti

Fractional Differential Equations: An Approach Via Fractional Derivatives
  • 出版商: Springer
  • 出版日期: 2021-07-23
  • 定價: $2,800
  • 售價: 8.0 折 $2,240
  • 語言: 英文
  • 頁數: 368
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3030760421
  • ISBN-13: 9783030760427
  • 相關分類: 數值分析 Numerical-analysis

    • 立即出貨 (庫存 < 3)

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商品描述

This graduate textbook provides a self-contained introduction to modern mathematical theory on fractional differential equations. It addresses both ordinary and partial differential equations with a focus on detailed solution theory, especially regularity theory under realistic assumptions on the problem data. The text includes an extensive bibliography, application-driven modeling, extensive exercises, and graphic illustrations throughout to complement its comprehensive presentation of the field. It is recommended for graduate students and researchers in applied and computational mathematics, particularly applied analysis, numerical analysis and inverse problems.

 

 

 

商品描述(中文翻譯)

這本研究生教科書提供了對現代數學理論中分數微分方程的獨立介紹。它涵蓋了常微分方程和偏微分方程，重點在於詳細的解決理論，特別是在對問題數據的現實假設下的正則性理論。該書包含了廣泛的參考文獻、以應用為驅動的建模、大量練習題以及圖形插圖，以補充其對該領域的全面介紹。建議應用與計算數學，特別是應用分析、數值分析和反問題的研究生和研究人員閱讀。

作者簡介

Bangti Jin received the B.Eng. degree in polymeric materials and engineering in 2002, theM.Sc. degree in computational mathematics in 2005, both from Zhejiang University, Hangzhou, China, and the Ph.D. degree in applied mathematics from the Chinese University of Hong Kong, Hong Kong, in 2008. Previously, he was an Assistant Professor of mathematics at the University of California, Riverside (2013-2014), a Visiting Assistant Professor at Texas A&M University (2010-2013), an Alexandre von Humboldt Postdoctoral Researcher at the University of Bremen (2009-2010). He is currently Professor of Inverse Problems at the Department of Computer Science, University College London, London, U.K. His research interests include computational inverse problems and numerical analysis of differential equations.

作者簡介(中文翻譯)

Bangti Jin於2002年獲得中國杭州浙江大學的高分子材料與工程學士學位，於2005年獲得計算數學碩士學位，並於2008年獲得香港中文大學的應用數學博士學位。之前，他曾擔任加州大學河濱分校的數學助理教授（2013-2014），德州農工大學的訪問助理教授（2010-2013），以及不來梅大學的亞歷山大·馮·洪堡博士後研究員（2009-2010）。他目前是英國倫敦大學學院計算機科學系的反問題教授。他的研究興趣包括計算反問題和微分方程的數值分析。

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