NumericalAnalysis

I am a beginner of Julia and numerical analysis, there may be many problems, 👏 to discuss with me.🤣

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.

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