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.

Theory, methods, applications, software design

Applied Numerical Methods with MATLAB for Eigineers and Scientists , 2nd ed.
by Steven C. Chapra
McGraw-Hill