NuMath

NuMath is a C++ shared library that implements several numerical methods.

Right now it implements the following methods:

• Single variable equations

  • Incremental search
  • Bisection
  • Flase position
  • Fixed point
  • Newton
  • Secant
  • Multiple roots

• Systems of equations

  • Simple gaussian elimination
  • Gaussian elimination with partial pivoting
  • Gaussian elimination with total pivoting
  • Doolittle Factorization
  • Crout Factorization
  • Cholesky Factorization
  • Gauss-Seidel
  • Jacobi

• Interpolation

  • Newton
  • Lagrage
  • Linear splines
  • Quadratic splines
  • Cubic splines

• Numerical Diferentiation

  • With 2 points
  • With 3 points
  • With 5 points

• Numerical Integration

  • General Trapezium
  • General Simpson 1/3
  • General Simpson 3/8

Getting started

First, clone the repository using:

git clone https://github.com/rvillegasm/NuMath.git

Prerequisits

Make sure that you have the following dependencies installed in your system:

• A C++ compiler that supports OpenMP and C++11 standards (like gcc).
• The GNU make tool.
• The CMake tool.

Installation

In the NuMath root directory, create a build directory:

mkdir build
cd build

Then run CMake and compile using Make:

cmake ..
make

That will compile the library and create a shared object in the build/lib directory.

After that, install it in your system with:

sudo make install
sudo ldconfig

By doing this you will have NuMath available in your system as libnumath.

Usage

To use NuMath simply include the header file in your C++ file:

#include "numath.h"

int main() {
    // ... your code goes here
}

Proyect structure

Every numerical method is located inside the numath::<method_category> namespace, so in order to use the lagrange interpolation method, you would have to call:

numath::interpolation::lagrange(/*Arguments*/);

Check out the documentation of every method to know theirs parameters, as well as what they return.