# Numerical analysis
1. Numerical method
- absolute error
- relative error
2. rate of convergence
- Rate of convergence
- Aitken's delta squared process
3. Approximation theory
- Lagrange polynomial interpolation
- Vandermonde polynomial interpolation
- spline interpolation
- Padé approximant
- Stirling's formula
4. Numerical integration
- Riemann sum
- trapezoidal rule
- nested integration
- Romberg integration
- Monte Carlo integration
5. Numerical solutions to differential equations
- Euler's method
- midpoint method
- Runge-Kutta method
6. Root finding algorithm
- corrollary of IVT (bracketing method)
- bracketing method 
- bisection method (IVT)
- secant method
- forward difference
- backward difference
- central difference
- Newton-Raphson method
- false position method
- Dekker's method
- Brent's method
7. Numerical solutions to systems of equations
- power method
- inverse power method
- QR iteration
- sparse matrix
- Arnoldi iteration
7. Numerical optimization
- bracketing method 
- numerical derivative test
- golden section search
- Brent's method (optimization)
- Direction set method
- Powell's method
- Nedler-meadle method