Numerical-methods

Some numerical algorithm implemented during laboratories for Numerical methods course.

Approximation

  • Trigonometric approximation
  • Chebyshev nodes
  • Legendre nodes
  • Hermit nodes

Differential equation solution

  • Adams-Bashforth method
  • Euler method
  • Heun method

Interpolation

  • Lagrange interpolation
  • Newton interpolation
  • Chebyshev nodes

Numerical integration

  • Newton-Cotes method

Systems of equations solution

  • LU decomposition
  • Gauss elimination
  • Croute-Doolittle method
  • Newton-Raphson method
  • Bisection