Explanation and code for classes of numerical methods
Final Grade: 18
- Zeros of functions - C++
- Zeros of functions - Python
- Gauss - Python
- Integrals - Python
- Diferential Equations - Python
- Optimization - Python
- Jupyter notebook
- Revisions
The language in which algorithm was developed is explicitly written in the title of each content. However, the biggest part of the code in this repository was developed in python, in order to improve understandment.
| Method name | Explanation |
|---|---|
| Successive Bissection | to add |
| Falsi Position | to add |
| Picard Peano One Variable | to add |
| Newton Method One Variable | to add |
| Method name | Explanation |
|---|---|
| Sucessive Bissection | to add |
| Falsi Position | to add |
| Picard Peano One Variable | to add |
| Newton Method One Variable | to add |
| Picard Peano Two Variables | to add |
| Newton Method Two Variable | to add |
| Method Name | Explanation |
|---|---|
| Simple Gauss | Algorithm and Extern Stability |
| Simple Gauss with numpy | to add |
| Gauss Seidel | to add |
| Gauss Jacobi | to add |
| Method Name | Explanation |
|---|---|
| Regra dos Trapézios | |
| Simpson | to add |
| Method Name | Explanation |
|---|---|
| Euler | Image |
| Runge Kutta 2 | Image |
| Runge Kutta 4 | To add |
| Runge Kutta 4 - systems | To add |
| Runge Kutta 4 - superior order | PDF, obs: first must learn RK4 systems |
| Method Name | Explanation |
|---|---|
| Search/Golden Search | |
| Multidimensional/Quadrica | To add |
| Multidimensional/Gradient | |
| Multidimensional/Levenberg-Marquardt | To add |
You can also check some jupyter notebook with the code:
Here are some colected exercises for tests and exames to revision and test your knowledge.
These exercises do not include kaletsy algorithm.
| Exame | Exame without solution | Exam with solution | Code Solution |
|---|---|---|---|
| 2017.1 | Link | Link | Link |