Scientific Computing Exercises

Exercises for submission to Scientific Computing class at UvA (MSc Computational Science).

Exercise Set 1 visual results

Wave equation

Wave equation

Animated wave

Diffusion equation

Diffusion through time

Animated diffusion

Laplace solvers

Diffusion through time

Laplace solvers analysis

Exercise Set 2 visual results

Diffusion Limited Aggregation (DLA) - Laplace vs Random Walkers

Laplace creating coral

Random walkers creating coral

Numerical scheme analysis

Laplace SOR convergence based on omega

Basic vs parallel implementation

Reaction-Diffusion system (Gray-Scott)

Gray-Scott initial

Gray-Scott converged at t=8000

Exercise Set 3

Eigenmodes of drums (2D elastic membranes)

Circular drum

FD matrix for 5x5 system

Further analysis

Eigenfrequency distribution by discretization N

Time and memory comparison