weihuang＠mail.u...
©
数理方法 Partial Differential Equations
Chapters
§1 偏微分方程定解问题
Find the actual solution to a Partial Differential Equation along with Initial/Boundary Conditions
§2 ♦分离变量法
Separation of variables
§3B 特殊函数_贝塞尔
柱问题 动画
Special functions, appear as solutions of ODEs with variable coefficients
§3L 特殊函数_勒让德
球问题
§4 积分变换法
Momentum space (frequency domain) v.s. position space (coordinate space)
§5 基本解方法_Green函数
Fundamental solution is the impulse response of a PDE, defined on a domain, with specified IC or BC
不做要求章节:
§1.2.5, §1.3.4, §1.4.2, §2.4.2, §3.2.3,
§4.2, §5.4.2, §5.4.3, §5.4.4
后续知识: 变分法
Calculus of variations → functional analysis,
非线性方程,
数值解法
answers and Übung answers
Mid-term test 8% §1~3
Final exam 70% 复习提纲(考试时间2018-05-26，8:30-10:30，地点3C203，3C204) 简明结果
Homework 22% §1
§2
§3Bessel
§3Legendre
§4
§5