0701 - 數值分析
Numerical Analysis
教育目標 Course Target
To introduce modern approximation techniques; to explain how, why, and when they can be expected to work; and to provide a foundation for further study of scientific computing.
To introduce modern approximation techniques; to explain how, why, and when they can be expected to work; and to provide a foundation for further study of scientific computing.
課程概述 Course Description
課程概述
Round-off error; algorithms and convergence; the bisection method; the
fixed-point iteration; the Newton method; accelerating convergence; the
Muller method; Lagrange interpolation; Newton divided differences; Hermite
interpolation; cubic spline interpolation; numerical differentiation;
Richardson extrapolation; numerical integration; composite numerical
integration; Romberg integration; Gaussian quadrature; adaptive quadrature
method; initial value problem; the Euler method; higher-order Taylor method;
the Runge-Kutta methods and so on.
Course Overview
Round-off error; algorithms and convergence; the bisection method; the
fixed-point iteration; the Newton method; accelerating convergence; the
Muller method; Lagrange interpolation; Newton divided differences; Hermite
Interpolation; cubic spline interpolation; numerical differentiation;
Richardson extrapolation; numerical integration; composite numerical
integration; Romberg integration; Gaussian quadrature; adaptive quadrature
method; initial value problem; the Euler method; higher-order Taylor method;
the Runge-Kutta methods and so on.
參考書目 Reference Books
Numerical Analysis 10th Edition Richard L. Burden, J. Douglas Faires & Annette M. Burden
Numerical Analysis 10th Edition Richard L. Burden, J. Douglas Faires & Annette M. Burden
評分方式 Grading
評分項目 Grading Method |
配分比例 Percentage |
說明 Description |
---|---|---|
指定程式作業及考試 Designated program and exam |
75 | |
報告1份 1 report |
20 | |
出席& 隨堂表現 Attendance & Show |
5 |
授課大綱 Course Plan
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相似課程 Related Courses
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課程資訊 Course Information
基本資料 Basic Information
- 課程代碼 Course Code: 0701
- 學分 Credit: 3-0
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上課時間 Course Time:Monday/6,7,Wednesday/3,4[ST523]
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授課教師 Teacher:胡馨云
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修課班級 Class:應數系3
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選課備註 Memo:限微積分(一)、(二)與程式語言都達C- 可修。 B群組7選5,107學年以後入學適用。106學年以前必修。
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