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Solving Partial Differential Equations - MOOC
Numerical methods for partial differential equations
Introduction
1. Toolkit Setup
2. Approximations and Taylor expansion
Time integration
3. Euler methods
4. Runge-Kutta methods
Finite differences
5. First-order derivative and slicing
6. Higher order derivatives, functions and matrix formulation
7. Boundary value problems
Partial differential equations
8. The first-order wave equation
9. Matrix and modified wavenumber stability analysis
10. One dimensional heat equation
11. One dimensional heat equation: implicit methods
Iterative methods
12. Iteration methods
13. The conjugate gradient method
14. Boosting Python
Index
