https://github.com/zhouzhuofei/numericalanalysis.jl

This is Numerical Analysis Julia package
https://github.com/zhouzhuofei/numericalanalysis.jl

derivative julia numerical-analysis

Last synced: 7 months ago
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This is Numerical Analysis Julia package

• Host: GitHub
• URL: https://github.com/zhouzhuofei/numericalanalysis.jl
• Owner: ZhouZhuofei
• License: mit
• Created: 2020-09-24T04:06:54.000Z (almost 6 years ago)
• Default Branch: master
• Last Pushed: 2020-12-24T05:29:59.000Z (over 5 years ago)
• Last Synced: 2025-03-05T07:29:33.787Z (over 1 year ago)
• Topics: derivative, julia, numerical-analysis
• Language: Julia
• Homepage: https://zhouzhuofei.github.io/NumericalAnalysis.jl/docs/build/index.html
• Size: 290 KB
• Stars: 0
• Watchers: 2
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

          
# NumericalAnalysis

[![Build Status](https://travis-ci.com/ZhouZhuofei/NumericalAnalysis.jl.svg?branch=master)](https://travis-ci.com/ZhouZhuofei/NumericalAnalysis.jl)

[![Build Status](https://ci.appveyor.com/api/projects/status/github/ZhouZhuofei/NumericalAnalysis.jl?svg=true)](https://ci.appveyor.com/project/ZhouZhuofei/NumericalAnalysis-jl)

[![codecov](https://codecov.io/gh/ZhouZhuofei/NumericalAnalysis.jl/branch/master/graph/badge.svg)](https://codecov.io/gh/ZhouZhuofei/NumericalAnalysis.jl)

[![Coverage](https://coveralls.io/repos/github/ZhouZhuofei/NumericalAnalysis.jl/badge.svg?branch=master)](https://coveralls.io/github/ZhouZhuofei/NumericalAnalysis.jl?branch=master)

[![](https://img.shields.io/badge/docs-stable-blue.svg)](https://zhouzhuofei.github.io/NumericalAnalysis.jl/docs/build/index.html)

[![License](https://img.shields.io/badge/license-MIT-brightgreen.svg?style=flat)](https://github.com/ZhouZhuofei/NumericalAnalysis.jl/blob/master/LICENSE)

****

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

***

## Basic

here are some function:

```julia

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.

.....