Coding projects from some of my university modules, examining the influence of computational methods across pure, applied and statistical areas of Mathematics.
Projects from module Introduction to Mathematical Computing include:
Applied team project. Completed in a team of 6, this project looks at the theme of data interpolation.
Pure team project, focusing on graph theory.
Statistics project, using a Monte Carlo bootstrap method.
Projects from Computational Numerical Analysis:
Spectral Differentiation: This included using methods such as finite difference, the Fourier spectral method , the Chebyshev differentiation matrix and the Chebushev series to numerically differentiate a function. This was followed by analysing the speed and accuracy of each method under different conditions.
Boundary Value: This project found numerical solutions to a boundary value problem using the Gauss-Seidel and Conjugate Gradient methods.