xyz 軟體補給站


  商品編號: unc0043d
  商品名稱: 偏微分方程(二) 全16講 台灣國立交通大學 DVD 只於電腦播放
  光碟片數: 1片
  銷售價格: $200元
unc0522d9--中國科學技術大學 微機原理與系統 簡體中文 普通話 只於電腦播放 DVD
unc0274c--微積分(二) PDF講義 台灣國立交通大學 CD 只於電腦播放
unc0632d--CCNA原創視頻 簡體中文 國語發音 僅于電腦播放 DVD
unc0166c--浙江大學 客戶關係管理 陳明亮 簡體中文 DVD 只於電腦播放
unc0169c--浙江大學 生產運營管理 朱桂平 簡體中文 DVD 只於電腦播放
偏微分方程(二) 全16講 台灣國立交通大學 DVD 只於電腦播放


This is the continuous course of Partial Differential Equations (I).This is the GRADUATE level partial differential equation. We will focus on the relation between mathematics and physics and show the students how to understand PDEs intuitively.
授課教師 應用數學系 林琦焜老師

授課時數 每週3小時

授課學分 3學分

授課學期 97學年度

授課對象 研究所學生

預備知識Calculus, Advanced Calculus, Linear Algebra,Ordinary differential equation,Complex Analysis and Real analysis



第五章Hyperbolic Equations in Higher Dimensions
第六章Higher-Order Elliptic Equations with Constant Coefficients
第七章 Parabolic Equations
第八章H. Lewys Example of a Linear Equation without Solutions


* Fritz John, Partial Differential Equations (4th Edition), Applied Mathematical Sciences Vol.1 Springer-Verlag 1982.
* A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, 1983

第五章Hyperbolic Equations in Higher Dimensions
5-1 The Wave Equation in n-Dimensional Space
(1) The method of sphereical means
(2) Hadmards method of descent
(3) Duhamels principle and the general Cauchy problem
(4) mixed problem
5-2 Higher-Order Hyperbolic Equations with Constant Coefficients
(1) Standard form of the initial-value problem
(2) solution by Fourier transform,
(3) solution of a mixed problem by Fourier transform
5-3 Symmetric Hyperbolic System
(1) The basic energy inequality
(2)Finite difference method
(3) Schauder method
第六章Higher-Order Elliptic Equations with Constant Coefficients
6-1 The Fundamental Solution for Odd n Travelling wave
6-2 The Dirichlet Problem Lax-Milgram theorem, Garding inequality
6-3 Sobolev Space Weak solution and Hibert space
第七章 Parabolic Equations
7-1 The Heat Equation Self-Similarity, Heat kernel, maximum principle
7-2 The Initial-Value Problem for General Second-Order Parabolic Equations
(1) Finite difference and maximum principle
(2) Existence of Initial Value Problem
第八章H. Lewys Example of a Linear Equation without Solutions
8-1 Brief introduction of Functional Analysis Hilbert and Banach spaces, projection theorem, Leray-Schauder theorem
8-2 Semigroups of linear operator Generation, representation and spectral properties
8-3 Perturbations and Approximations The Trotter theorem
8-4 The abstract Cauchy Problem Basic theory
8-5 Application to linear partial differential equations Parabolic equation, Wave equation and Schrodinger equation
8-6 Applications to nonlinear partial differential equations KdV equation, nonlinear heat equation, nonmlinear Schrodinger equation