9-5微分方程组与高阶方程*Systems of Differential Equations and Higher-Order Equations 一阶微分方程组

第九章 常微分方程数值解 一、考虑一阶常微分方程的初值问题

2复合求积 Composite Quadrature 高次插值有 Runge现象,故采用分段低次插值 →分段低次合成的 Newton- Cotes复合求积公式

第八章数值积分/ Numerical Integration 一、近似计算 1.插值型积分公式

§1 Import the actual problem §2 The power method and inverse power method

§1 Importing the practical problem §2 The basic iterative methods §3 Convergence of iterative methods §4 Over-relaxation iterative method

Section 1 Introduction Section 2 Lagrange interpolation Section 3 Deviation and Newton interpolation Section 4 Difference and Equidistant interpolation Section 5 Hermite interpolation Section 6 Piecewise low-order interpolation Section 7 Cubic spline interpolation

Section II DichotomySection III Fixed point iteration method Section IV Newton method Section V Secant Method Section I Import of practical problem

1 The Object and Character of Numerical Analysis 2 Computer Machine Number System and Floating Point Arithmetic 4 Qualitative Error Analysis and Avoid Error Harm 3 The Error of Numerical Analysis

《数值分析课程设计》课程教学大纲（适用专业：信息与计算科学）