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Various Numerical Analysis algorithms for science and engineering.

License: MIT License

Python 100.00%
romberg adaptive gaussian-quadrature euler-method hodgkin-huxley-model tacoma-narrows-bridge wave-equation monte-carlo-simulation stochastic-differential-equations fourier-transform

numerical-analysis's Introduction

Numerical-Analysis

The primary goal of this repository is to explore some algorithms for solving science and engineering problems. A fundamental understanding of calculus, linear algebra and computer science principles is recommended.

The topics included are:

Chebyshev Polnomials, Romberg, Adaptive and Gaussian Quadrature, Euler's Method for Solving Ordinary Differential Equations, The Hodgkin-Huxely Neuron, The Tacoma Narrows Bridge, The Wave Equation, Monte Carlo Simulation, Stochastic Differential Equations, Fourier Transform and Signal Processing, Eigen Values and Singular Values, Optimization (Gradient Search)

Each folder should have its own README.md with some basic instructions as to how to use the code and a brief explanation of the mathematics in it.

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