# NumericalAnalysis

I am a beginner of Julia and numerical analysis, there may be many problems,

## Basic

here are some function:

```
julia > using NumericalAnalysis
```

Now,just have some Methods here

- Basic
- N the derivative, use ForwardDiff packageto calculate $\frac{dy}{dx}$, then recursive to get Nth derivative.(emmm, I feel a bit slow)
- Taylor Polynomial, get the value nth Taylor Ploynomial.

- Solutions for equation in one Variable(in
`NumericalAnalysis.SEq1`

)- Bisection function, find root
- fixed_point function.
- Newton's Method
- The Secant Method
- The False Position Method
- Modified Newton's Method
- Müller’s Method

- Interpolation and the Lagrange Polynomial
- nth Larange interpolating polynomial
- Neville’s Iterated Interpolation
- Newton’s Divided-Difference Formula
- Natural Cubic Spline
- Clamped Cubic Spline

- Numerical Differentiation and integration
- Differentiation
- Three-Point and Five-Point formula

- Integration
- Trapezoidal Rule
- Simpson's Rule
- Newton_cotes
- Romberg
- Gaussian_Quad

- Mutiple Integrals
- SimpsonDoubleIntegral
- GaussianDoubleIntegral more information in Docs.

- Differentiation

.....