|
Lect |
Date |
Slides
|
Section |
Topic |
|
1 |
|
Preface |
preface |
|
|
2 |
|
Sec 1.1 |
preliminary notation and concepts |
|
|
3 |
1p2.ppt |
Sec 1.2 |
The Linear Equation |
|
|
4 |
1p3.ppt |
Sec 1.3 |
The significance of characteristics | |
|
5 |
1p4.ppt |
Sec 1.4 |
The Quasi-Linear | |
|
6 |
2p1.ppt | Sec 2.1 | Classification | |
|
7 |
2p2_4.ppt |
Sec2.2 Sec2.3 Sec2.4 |
The Hyperbolic Canonical Form The Parabolic Canonical Form The Elliptic Canonical Form |
|
|
8 |
2p5.ppt | Sec2.5 | Some Equations of Mathematical Physics | |
|
9 |
4p1.ppt | Sec4.1 | d'Alembert's Solution | |
|
10 |
Ch3 | Ch3 | Foureier Series | |
|
11 |
4p8.ppt | Sec4.8 | Separation of Variables | |
|
12 |
4p1.ppt | Sec4.1 | cont dep on initial data | |
|
13 |
4p3 | Sec4.3 |
The Characteristic Triangle domain of dependence |
|
|
14 |
6p1.ppt | Sec6.1 | Dirichlet and Neumann Probem | |
|
15 |
6p2.ppt | Sec6.2 | Some Harmonic Functions | |
| 6p4.ppt | Sec6.4 | Two Properties of Harmonic Functions | ||
| 6p5.ppt | Sec6.5 | Is the Dirichlet Problem Well Posed? | ||
| 3p6.ppt | Sec3.6 | The Fourier Transform | ||
| num_ode | Sec8.2 | Numerical ode | ||
| num_PDE | Sec8.2 | Numerical PDE | ||
| 3p5.ppt | Sec3.5 | Fourier Integral | ||
| 6p9.ppt | Sec6.9 | Dirichlet upper Half plane (Fourier Transform) | ||
| 6p9b.ppt | Sec6.9 | Dirichlet upper Half plane (Fourier Integral) | ||
| 6p10.ppt | Sec6.10 | Dirichlet Problem for the Right Quarter-Plane | ||
| 6p7.ppt | Sec6.7 | Dirichlet Problem for a Disk | ||
| 6p12.ppt | Sec6.12 | The Neumann Problem | ||
| 6p15.ppt | Sec6.15 | Neumann Problem for Upper Half-Plane | ||
| 7p2.ppt | Sec7.2 | Existence Theorems: A Hilbert Space Approach | ||
| FEM.ppt | FEM | Finite Element method (1D) [FE Primer by D. Silvester is an excellent introduction to the mathematics of finite element] | ||
| FEM2D.ppt | FEM | Finite Element method (2D) | ||
| pdetool.ppt | PDETOOL | PDETOOLBOX in Matlab | ||
| pde_ex.ppt | pdetool examples | |||
| Delta_fun | Dirac Delta function | |||
| Green'sfun | Green's Function | |||
| 6p17.ppt | Sec6.17 | Conformal mapping Techniques |
