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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課程資訊 Course Information

基本資料 Basic Information

  • 課程代碼 Course Code: 0701
  • 學分 Credit: 3-0
  • 上課時間 Course Time:
    Monday/6,7,Wednesday/3,4[ST523]
  • 授課教師 Teacher:
    胡馨云
  • 修課班級 Class:
    應數系3
  • 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。
選課狀態 Enrollment Status

目前選課人數 Current Enrollment: 25 人

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