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 |
|---|---|---|
| 指定程式作業及考試指定程式作業及考試 Designated program and exam |
75 | |
| 報告1份報告1份 1 report |
20 | |
| 出席& 隨堂表現出席& 隨堂表現 Attendance & Show |
5 |
