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