微分方程数值解 第一章.ppt

Numerical Method of Differential Equation;Brief Introduction of the Instructor;;Grading System: In-class Quizzes: 10% Homework and Assignments: 20% Midterm Exam: 30% Final Exam: 40% All exams are open ;Reference Books;;Chapter 1 Initial-Value Problems for ODE ;§1.1 Introduction;§1.1 Introduction;§1.1 Introduction;§1.1 Introduction;Chapter 1 Initial-Value Problems for ODE ;;§1.2 The Element Theory of IVP;§1.2 The Element Theory of IVP;§1.2 The Element Theory of IVP;§1.2 The Element Theory of IVP;§1.2 The Element Theory of IVP;§1.2 The Element Theory of IVP;§1.2 The Element Theory of IVP;§1.2 The Element Theory of IVP;Chapter 1 Initial-Value Problems for ODE ;§1.3 One-Step Methods; §1.3 One-Step Methods; § 1.3.1 Euler’s Method; § 1.3.1 Euler’s Method; § 1.3.1 Euler’s Method; § 1.3.1 Euler’s Method; § 1.3.1 Euler’s Method; § 1.3.1 Euler’s Method; § 1.3.1 Euler’s Method; § 1.3.2 Trapezoidal method; § 1.3.2 Trapezoidal method; § 1.3.2 Trapezoidal method;1.3.2 Trapezoidal method; 1.3.2 Trapezoidal method; 1.3.2 Trapezoidal method; 1.3.3 Modified Euler Method ( Predictor-Corrector Method) ; 1.3.3 Modified Euler Method ( Predictor-Corrector Method) ; 1.3.3 Modified Euler Method ( Predictor-Corrector Method) ; 1.3.3 Modified Euler Method ( Predictor-Corrector Method) ;One-Step Method; 1.3.4 Truncation Error of One-Step Method; 1.3.4 Truncation Error of One-Step Method; 1.3.4 Truncation Error of One-Step Method; 1.3.4 Truncation Error of One-Step Method;1.3.4 Truncation Error of One-Step Method; 1.3.4 Truncation Error of One-Step Method; 1.3.4 Truncation Error of One-Step Method; 1.3.4 Truncation Error of One-Step Method; 1.3.4 Truncation Error of One-Step Method; 1.3.5 Higher-Order Taylor Methods; 1.3.5 Higher-Order Taylor Methods; 1.3.5 Higher-Order Taylor Methods;1.3.5 Higher-Order Taylor Methods; 1.3.5 Higher-Order Taylor Methods; 1.3.5 Higher-Order Taylor Methods; 1.3.5 Higher-Order Taylor Methods; 1.3.5 Higher-Order Taylor Methods; 1.3.5