README.md

ESC201: Simulations in Natural Sciences

Numerical methods demonstrated with python, see requirements.txt for dependencies.

Exercise 1: Basic Numerical Solvers

The exercise

Exercise 2: Newton's Method and Kepler's Equation

The exercise

Exercise 3: Population growth, chaos and fractals

Feigenbaum simple implementation

Feigenbaum meshgrid implementation

Exercise 4: Fractals, Julia Set, Mandelbrot

Fractals implementation

Exercise 5: Lotka-Volterra, Forward Euler, Runge-Kutta

Lotka-Volterra Implementation with mices and foxes

Exercise 6: Simplectic Integrators (ODEs)

Leap-frog example implementation

Exercise 7: N-Body Problem, Solar System Orrey

Implementation

Exercise 8: PDEs

Implementation

Exercise 9: Bilinear (& Bicubic) Interpolation

Implementation

Exercise 11: Hyperbolic PDEs

Implementation

Exercise 12: Finite Volume, Flux

Implementation