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 fair ES & Annette M. burden
| 評分項目 Grading Method | 配分比例 Grading percentage | 說明 Description |
|---|---|---|
| 課前診斷考課前診斷考 Pre-class diagnostic test |
10 | |
| 期中考期中考 midterm exam |
20 | |
| 期末考期末考 final exam |
20 |
