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Modelling and Simulation weekly exercises

Week 1: Introduction

  1. Compute the first N prime numbers.

Week 2: Random walks

  1. Compute Pi using a hit and miss method.
  2. Simulate random walks and compute average distance squared from the origin.

Week 3: Monte Carlo simulations

  1. Simulate hard spheres' movements in a system with periodic boundary conditions for several initial configurations: rectangular and hexagonal lattice in 2D, simple cubic and face-centered cubic in 3D.