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.

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.

R.L. Burden, J.D. Faires and A.M. Burden , Numerical Analysis, 10th edition, Brooks/Cole-Cengage Learning, 2016
ISBN 13 碼: 978-1305253667