Numerical Methods for Fractional Calculus
暫譯: 分數微積分的數值方法
Changpin Li , Fanhai Zeng
- 出版商: CRC
- 出版日期: 2020-09-30
- 售價: $2,440
- 貴賓價: 9.5 折 $2,318
- 語言: 英文
- 頁數: 300
- 裝訂: Quality Paper - also called trade paper
- ISBN: 0367658798
- ISBN-13: 9780367658793
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相關分類:
微積分 Calculus
海外代購書籍(需單獨結帳)
商品描述
Numerical Methods for Fractional Calculus presents numerical methods for fractional integrals and fractional derivatives, finite difference methods for fractional ordinary differential equations (FODEs) and fractional partial differential equations (FPDEs), and finite element methods for FPDEs.
The book introduces the basic definitions and properties of fractional integrals and derivatives before covering numerical methods for fractional integrals and derivatives. It then discusses finite difference methods for both FODEs and FPDEs, including the Euler and linear multistep methods. The final chapter shows how to solve FPDEs by using the finite element method.
This book provides efficient and reliable numerical methods for solving fractional calculus problems. It offers a primer for readers to further develop cutting-edge research in numerical fractional calculus. MATLAB(R) functions are available on the book's CRC Press web page.
商品描述(中文翻譯)
《分數微積分的數值方法》介紹了分數積分和分數導數的數值方法、分數常微分方程（FODEs）和分數偏微分方程（FPDEs）的有限差分方法，以及FPDEs的有限元素方法。
本書首先介紹分數積分和導數的基本定義和性質，然後涵蓋分數積分和導數的數值方法。接著討論FODEs和FPDEs的有限差分方法，包括歐拉法和線性多步法。最後一章展示了如何使用有限元素方法來解決FPDEs。
本書提供了解決分數微積分問題的高效且可靠的數值方法，並為讀者進一步發展數值分數微積分的前沿研究提供了入門指導。MATLAB(R) 函數可在本書的CRC Press網頁上獲得。
作者簡介
Changpin Li is a full professor at Shanghai University. He earned his Ph.D. in computational mathematics from Shanghai University. Dr. Li’s main research interests include numerical methods and computations for FPDEs and fractional dynamics. He was awarded the Riemann–Liouville Award for Best FDA Paper (theory) in 2012. He is on the editorial board of several journals, including Fractional Calculus and Applied Analysis, International Journal of Bifurcation and Chaos, and International Journal of Computer Mathematics.
Fanhai Zeng is visiting Brown University as a postdoc fellow. He earned his Ph.D. in computational mathematics from Shanghai University. Dr. Zeng’s research interests include numerical methods and computations for FPDEs.
作者簡介(中文翻譯)
李長平是上海大學的全職教授。他在上海大學獲得計算數學的博士學位。李博士的主要研究興趣包括分數偏微分方程（FPDEs）和分數動力學的數值方法與計算。他於2012年獲得了黎曼-柳維爾最佳FDA論文獎（理論）。他是多本期刊的編輯委員會成員，包括分數微積分與應用分析、國際分岔與混沌期刊以及國際計算數學期刊。
曾繁海目前在布朗大學擔任博士後研究員。他在上海大學獲得計算數學的博士學位。曾博士的研究興趣包括分數偏微分方程（FPDEs）的數值方法與計算。
