Computer-Modelling-and-Simulation

Some Jupyter notebooks that explore computer modelling and simulation techniques.

Files "Asm*.ipynb" and "Asm9.pdf" are assignments from a course titled Computer Modelling and Simulation.

Reference Book: Spectral Methods in MATLAB by Llyod N. Trefethen

Asm1 : Differentiation matrices, Finite Difference schemes
Asm2 : Fourier Transforms, spectral derivative, sinc function interpolation
Asm3 : Spectral derivative matrix, time-stepping using Euler Explicit and Leap Frog
Asm4 : Vandermonde matrix, lagrange interpolation on Uniform and Chebyshev nodes
Asm5 : Legendre nodes and Chebyshev nodes
Asm6 : Chebyshev differentiation matrices
Asm7 : Euler-Maclaurin summation formula, Stirling's approximation, numerical integration, Hermite polynomials
Asm8 : Runge-Kutta methods
Asm9 : Monte carlo simulations, Markov chains

Name		Name	Last commit message	Last commit date
Latest commit History 2 Commits
Asm1.ipynb		Asm1.ipynb
Asm2.ipynb		Asm2.ipynb
Asm3.ipynb		Asm3.ipynb
Asm4.ipynb		Asm4.ipynb
Asm5.ipynb		Asm5.ipynb
Asm6.ipynb		Asm6.ipynb
Asm7.ipynb		Asm7.ipynb
Asm8.ipynb		Asm8.ipynb
Asm9.pdf		Asm9.pdf
README.md		README.md

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