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Visualization and numerical solvers for wave, diffusion, DLA, Reaction-Diffusion and Laplace

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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

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Visualization and numerical solvers for wave, diffusion, DLA, Reaction-Diffusion and Laplace

Topics

waves reaction-diffusion diffusion gray-scott-model diffusion-limited-aggregation laplace successive-over-relaxation eigenmodes

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