The following is a tentative syllabus for the course.
|week #||Brief Description|
|Weeks 1-2||Analytical Solutions for linear problems; well posedness|
|Week 3||Numerical accuracy of finite difference schemes|
|Week 4||Numerical stability of finite difference schemes|
|Weeks 5-6||Spectral methods for linear problems||Week 7||Introduction to non-linear partial differential equations|
|Weeks 8-10||Numerical methods for non-linear PDEs|