# numlib
[](https://travis-ci.com/luke-bhan/numlib)
A simple numerical algorithms library. Contains most of the numerical algorithms found in an introduction to numerical analysis class. Contributions are warmly welcome :). For any requests, please add an issue. Below is a list of implemented and planned methods.
- [x] integratation techniques
- [x] composite trapezoid rule
- [x] simpsons rule
- [x] adaptive simpsons rule
- [x] 3/8 simpson's rule
- [ ] ODE Solvers
- [x] Runge-Kutta 2
- [x] Runge-Kutta 4 (Explicit)
- [ ] Runge-kutta 4 (Adaptive)
- [x] Euler's
- [x] Adam's Bashforth
- [x] Adam's Moulton
- [ ] Fourier Series
- [ ] DFFT
- [ ] Maybe some Linear Algebra Integrations - Contributions Welcome
- [ ] Function Approximation
- [ ] Chebyshev Polynomial Generator
- [ ] Lagrange Polynomials
- [ ] Barycentric Weights
- [ ] Divided Differencing (using Newton's form a.k.a Horner's algo)
- [ ] Divided Differencing using hermite's method
- [ ] Linear Algebra
- [ ] Gram-Schmidt
- [ ] Least Squares Fitter
- [ ] Eigenvalues / Spectral Radius
- [ ] LU Factorization
- [ ] Diagonalization (For Schrodinger's Equation Most likely)