Numerical Methods and Montecarlo

$ID = get_the_ID();
add_post_meta($ID, 'Author', 'S.Pilati', True);
add_post_meta($ID, 'Credits', '2', True);

$AUTHOR = get_post_meta(get_the_ID(),'Author',True);
$CREDITS = get_post_meta(get_the_ID(),'Credits',True);
echo "

by $AUTHOR ($CREDITS credits)



Main Topics

Introduction to elementary numerical algorithms (with examples):

  • Root solvers
  • Integration
  • Solving differential equation

Introduction to Monte Carlo methods:

  • Monte Carlo integration
  • random numbers generators
  • Sampling non-uniform probability distribution functions
  • Markov chains
  • Correlations and statistical analysis of Monte Carlo simulations

Simple models in statistical physics:

  • Ising Model
  • Phase transitions (critical slowing down)
  • Smart sampling algorithm
  • Finite-size scaling

Introduction to quantum Monte Carlo:

  • Diffusion Monte Carlo (bosons)
  • Fermions and the sign promblem
  • Path Integral Monte Carlo

Introduction to Molecular dynamics

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