/analisis-numerico

Implementación de métodos numéricos para Física Computacional II

Primary LanguageJupyter Notebook

Análisis numérico

Implementación de métodos numéricos para Física Computacional II

Bibliografía: Burden, R. L., & Faires, J. D. (2011). Análisis numérico. Cengage Learning

INDEX

1. Solutions to non-linear equations

  • Bisection method
  • Fixed point method
  • Aitken acceleration
  • Newton method
  • Secant method
  • Convergence analysis

2. Equation systems

  • Crout factorization
  • Doolittle factorization
  • Jacobi method
  • Gauss-Seidel method
  • Relaxation method
  • Newton method

3. Neville interpolation

4. Numerical differentiation and integration

  • First and second order derivatives methods
  • Numerical integration
    • Trapezio method
    • Simpson methods
    • Newton-Cotes methods
    • Romberg integration

5. Differential equations

  • Euler method
  • Midpoint method
  • Heun method
  • Runge-Kutta methods
  • Runge-Kutta for differential equations systems