Numerical Solutions Using the Taylor Series Method: Initial and Boundary Value Problems
暫譯: 使用泰勒級數法的數值解法：初始值與邊界值問題
Chowdhury, Sujaul, Moktadir, MD Golam
- 出版商: Springer
- 出版日期: 2026-06-12
- 售價: $2,240
- 貴賓價: 9.5 折 $2,128
- 語言: 英文
- 頁數: 112
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3032269911
- ISBN-13: 9783032269911
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相關分類:
數值分析 Numerical-analysis
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商品描述
This book discusses the Taylor Series Method for numerical solution of initial and boundary value problems. A number of differential equations related to problems in physics have been solved numerically, including radioactive decay; simple harmonic motion; damped harmonic motion; driven damped harmonic motion; motion of oscillators in phase space, cyclotron motion; and differential equations for Hyperbolic functions. In addition, several Hermite polynomials have been reproduced by numerically solving two-point boundary value problems. Regarding oscillatory motion, the authors present both velocity and displacement of the oscillating particle as functions of time. For cyclotron motion, the authors simulate trajectory of electrons in magnetic field in real space. Also, Hermite polynomials H3, H4 and H5 are reproduced by numerically solving two-point boundary value problems.
商品描述(中文翻譯)
本書討論了泰勒級數法（Taylor Series Method）在初始值和邊界值問題的數值解法。針對與物理問題相關的多個微分方程進行了數值求解，包括放射性衰變、簡諧運動、阻尼簡諧運動、驅動阻尼簡諧運動、相空間中的振盪器運動、回旋運動，以及雙曲函數的微分方程。此外，通過數值解決二點邊界值問題，重現了幾個赫爾米特多項式（Hermite polynomials）。關於振盪運動，作者將振盪粒子的速度和位移作為時間的函數進行呈現。對於回旋運動，作者模擬了電子在磁場中的實空間軌跡。此外，赫爾米特多項式 H3、H4 和 H5 也通過數值解決二點邊界值問題進行了重現。
作者簡介
Sujaul Chowdhury, Ph.D., is a Professor in Department of Physics at Shahjalal University of Science and Technology. He received his B.Sc. and M.Sc. in Physics from Shahjalal University of Science and Technology, before earning his Ph.D. at The University of Glasgow in 2001. After completing his Ph.D., Dr. Chowdhury was a Humboldt Research Fellow for one year at The Max Planck Institute, Stuttgart. He is the author of many books, including six others with Springer: Monte Carlo Methods: A Hands-On Computational Introduction Utilizing Excel; Monte Carlo Methods Utilizing Mathematica(R) Applications in Inverse Transform and Acceptance-Rejection Sampling; Numerical Exploration of Fourier Transform and Fourier Series: The Power Spectrum of Driven Damped Oscillators; Newtonian Mechanics; Numerical Exploration of Isolated GaAs-AlGaAs Quantum Well; and Introduction to Electronics. His research interests include nanoelectronics, magnetotransport in semiconductor nanostructures, and nanostructure physics.
Md. Golam Moktadir was a M.S. student in the Department of Physics at Shahjalal University of Science and Technology.
作者簡介(中文翻譯)
Sujaul Chowdhury 博士是沙賈拉大學物理系的教授。他在沙賈拉大學獲得物理學的學士和碩士學位，並於2001年在格拉斯哥大學獲得博士學位。完成博士學位後，Chowdhury 博士在馬克斯·普朗克研究所（Max Planck Institute）擔任了一年的洪堡研究員。他是多本書籍的作者，其中包括與施普林格（Springer）合作的六本書：蒙地卡羅方法：利用 Excel 的實用計算入門；利用 Mathematica(R) 的蒙地卡羅方法在反向變換和接受-拒絕取樣中的應用；傅立葉變換和傅立葉級數的數值探索：驅動阻尼振盪器的功率譜；牛頓力學；孤立 GaAs-AlGaAs 量子井的數值探索；以及電子學入門。他的研究興趣包括奈米電子學、半導體奈米結構中的磁輸運以及奈米結構物理學。
Md. Golam Moktadir 是沙賈拉大學物理系的碩士生。
