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Projects of Methods of Scientific Computing

Authors

  • Christian Bernasconi
  • Gabriele Ferrario
  • Riccardo Pozzi
  • Marco Ripamonti

Project 1: Linear systems with positive definite sparse matrixes

Two sparse, symmetric and postive definite matrices solvers have been compared with Cholesky method in both Matlab and Octave on Windows and Linux.

The report of the project is available here.

Project 2: Implementation of DCT2 and compression algorithm

The projects has two parts:

  • part1: implementation of DCT2
  • part2: implementation of a compression algorithm analogue to JPEG

The report of the project is available here.

How to run:

Project 1:

All the codes are directly executable in Matlab and Octave.

Project 2:

1. Download and install python at the following link:
    https://www.python.org/downloads/
    
2. Move into: 
    .\mcs_projects\proj2\python
    
3. Create a Virtual Environment: 
    python -m venv venv_mcs
    
4. Activate the virtual environment:
     .\venv_mcs\scripts\activate
    
    N.B.: on Windows the folder is called scripts, meanwhile one Linux it is called bin
    
5. Install requirements:
    pip install -r requirements.txt

6. Run the files:

    - parte 1: python .\part1\src\main.py
    
    - parte 2: python .\part2\src\main.py

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