numerical linear algebra,
nonlinear algebraic system,
interpolation and approximation,
numerical differentiation and integration,
numerical differential equations.

numerical linear algebra,
nonlinear algebraic system,
Interpolation and approximation,
numerical differentiation and integration,
numerical differential equations.

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, Douglas J. Faires, and Annette M. Burden.

Numerical Analysis, 10th Edition. Richard L. Burden, Douglas J. Faires, and Annette M. Burden.