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
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.
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
| 評分項目 Grading Method | 配分比例 Grading percentage | 說明 Description |
|---|---|---|
| 課前複習考課前複習考 Pre-class retrieval |
10 | |
| 期中考期末考期中考期末考 Midterm final exam |
40 | |
| 書面報告書面報告 Written Report |
30 | |
| 助教指定作業or小小考助教指定作業or小小考 Assistant Assistant Assistant Assistant Assistant Assistant Assistant |
15 | |
| 出席狀況 & 隨堂表現出席狀況 & 隨堂表現 Attendance & performance |
5 |
