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Titlebook: Numerical Exploration of Fourier Transform and Fourier Series; The Power Spectrum o Sujaul Chowdhury,Abdullah Al Sakib Book 2024 The Editor

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書目名稱Numerical Exploration of Fourier Transform and Fourier Series
副標題The Power Spectrum o
編輯Sujaul Chowdhury,Abdullah Al Sakib
視頻videohttp://file.papertrans.cn/669/668985/668985.mp4
概述Aids readers to numerically calculate or obtain frequencies that are present in numerical data.Explores the use of the discrete Fourier transform and demonstrates practical numerical calculation.Utili
叢書名稱Synthesis Lectures on Mathematics & Statistics
圖書封面Titlebook: Numerical Exploration of Fourier Transform and Fourier Series; The Power Spectrum o Sujaul Chowdhury,Abdullah Al Sakib Book 2024 The Editor
描述.This book presents practical demonstrations of numerically calculating or obtaining Fourier Transform. In particular, the authors demonstrate how to obtain frequencies that are present in numerical data and utilizes Mathematica to illustrate the calculations. This book also contains numerical solution of differential equation of driven damped oscillator using 4th order Runge-Kutta method. Numerical solutions are compared with analytical solutions, and the behaviors of mechanical system are also depicted by plotting velocity versus displacement rather than displaying displacement as a function of time. ?This book is useful to physical science and engineering professionals who often need to obtain frequencies present in numerical data using the discrete Fourier transform..This book: .Aids readers to numerically calculate or obtain frequencies that are present in numerical data.Explores the use of the discrete Fourier transform and demonstrates practical numerical calculation.Utilizes 4th order Runge-Kutta method and Mathematica for the numerical solution of differential equation. .
出版日期Book 2024
關(guān)鍵詞Discrete Fourier Transform; Phase Space; Fourier Series; Fourier Transform; Numerics; Mathematica; Power S
版次1
doihttps://doi.org/10.1007/978-3-031-34664-4
isbn_softcover978-3-031-34666-8
isbn_ebook978-3-031-34664-4Series ISSN 1938-1743 Series E-ISSN 1938-1751
issn_series 1938-1743
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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he results in influential papers by Sims and Granger...The book contains many worked-out examples, and many data-driven exercises. While intended primarily for graduate students and advanced undergraduates, practitioners will also find the book useful..978-3-319-98282-3Series ISSN 2192-4333 Series E-ISSN 2192-4341
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Exploring Fourier Transform and Fourier Series Approximation Numerically,o obtain the frequencies that are present in the data numerically using what is called discrete Fourier transform. We also demonstrate how to numerically obtain Fourier series approximation to any function. Programs were written in Mathematica in this regard.
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Motion and Power Spectrum of Driven Damped Oscillator: Analytical and Numerical Account,This chapter contains analytical and numerical solutions of differential equation of motion of driven damped oscillator using 4th order Runge-Kutta method. Data of the numerical solution are fed to a discrete Fourier transform program to obtain frequency content of the system. Programs were written in Mathematica to achieve these.
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發(fā)表于 2025-3-23 08:12:41 | 只看該作者
Motion of Driven Damped Oscillator in Phase Space,By numerically solving differential equation of motion using 4th order Runge–Kutta method, in this chapter, we have numerically plotted trajectories of simple harmonic oscillator, damped harmonic oscillator and driven damped harmonic oscillator in phase space.
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