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.
R.L. Burden, J.D. Faires and A.M. Burden , Numerical Analysis, 10th edition, Brooks/Cole-Cengage Learning, 2016
或
J.D. Faires, R.L. Burden, Numerical Methods, 4th edition, Brooks/Cole-Cengage Learning, 2013
R.L. Burden, J.D. Faires and A.M. Burden , Numerical Analysis, 10th edition, Brooks/Cole-Cengage Learning, 2016
or
J.D. Faires, R.L. Burden, Numerical Methods, 4th edition, Brooks/Cole-Cengage Learning, 2013
| 評分項目 Grading Method | 配分比例 Grading percentage | 說明 Description |
|---|---|---|
| Quizs & ExamsQuizs & Exams Quizzes and Exams |
50 | Quizs, midterm, Final Exam |
| Projects (computer assignment) Projects (computer assignment) Projects (computer assignment) |
30 | Two Projects |
| PerformancesPerformances Performances |
20 | 上課表現與助教課 |
