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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

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By B. Knaepen & Y. Velizhanina
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