Numerical Methods in Civil & Environmental Engineering

UC Davis ECI 115

In-class code examples for numerical methods in Python. These examples are for instructional purposes and should not be used in production. Bug reports and PRs welcome.

Links to Google Colab:

1. Intro to Scientific Python
2. Analytical and Numerical Models
3. Numerical Errors and Differentiation
4. Integration: Newton-Cotes
5. Integration: Romberg, Adaptive, Gauss
6. Linear Systems: Gauss Elimination, LU Decomposition
7. Linear Systems: Matrix Inverse, Iterative Methods
8. Root Finding: Bracketing Methods
9. Root Finding: Open Methods
10. Optimization
11. ODEs: Runge-Kutta Methods
12. Second-Order ODEs and Systems
13. Uncertainty Analysis
14. Parameter Estimation
15. Sensitivity Analysis
16. Boundary Value and Eigenvalue Problems
17. PDEs: Laplace Equation
18. PDEs: Diffusion Equation
19. PDEs: Wave Equation

References:

• Chapra and Canale, Numerical Methods for Engineers 8th ed.
• Kong, Siauw, and Bayen, Python Programming and Numerical Methods
• Bryan, Differential Equations: A Toolbox for Modeling the World