Main usage

• Problem formulation
  • Uncertain parameters
  • Model evaluations
  • Reference solution
  • Error analysis
• Monte Carlo integration
  • Generating samples
  • Evaluating model solver
  • Error analysis
• Pseudo-spectral projection
  • Generate quadrature nodes and weights
  • Evaluating model solver
  • Expansion of orthogonal polynomials
  • Fourier coefficients
  • Descriptive statistics
  • Error analysis
• Point collocation
  • Generating samples
  • Evaluating model solver
  • Select polynomial expansion
  • Solve the linear regression problem
  • Descriptive statistics
  • Error analysis
• Intrusive Galerkin
  • Problem revisited
  • Main equation
  • Initial conditions
  • Equation solving
• Lagrange Polynomials
  • Evaluation samples
  • Lagrange basis
  • Model approximation
  • Assess statistics
  • Avoiding matrix inversion issues