numerical linear algebra,
nonlinear algebraic system,
numerical D.E.
interpolation and approximationnumerical linear algebra,
nonlinear algebraic system,
numerical D.E.
interpolation and approximation
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 Mathematics and Computing,
by
Cheney and Kincaid
numerical mathematics and computing,
| 評分項目 Grading Method | 配分比例 Grading percentage | 說明 Description |
|---|---|---|
| TA sessionTA session session |
15 | up to TA |
| inclass quiz and oralinclass quiz and oral in class quiz and oral |
35 | |
| mid-term exammid-term exam m's-term exam |
25 |
