Adavanced Computational Methods

Topics:

• Parallel Computing

  • Message Passing Interface
  • Open MultiProcessing

• Non linear Partial Differential Equations

  • Advention Equation
  • Leapfrog method
  • Lax method
  • simplectic integra.
  • Finite Differences.
  • Finite Elements.
  • Finite Volumes.

• Statistics

  • Monte Carlo Markov Chains.
  • Metropolis-Hastings.
  • Hamiltonian Monte Carlo.
  • Bayesian Estimation.

• Machine Learning

  • Linear Regression.
  • Decision Trees.
  • Random forest.
  • K Nearest Neighbor.
  • K means  - Support Vector Machine.
  • Regularization: LASSO & RIGDE.
  • Neural Networks.
  • Data Shuffling.