## Numerical solution of PDE:s, Part 10: The thin-film equation

Earlier, I showed how to solve the 1D and 2D versions of the complex Ginzburg-Landau equation, which is an example

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## Numerical solution of PDE:s, Part 9: 2D Ginzburg-Landau equation

In an earlier post, I described the 1-dimensional Ginzburg-Landau equation and showed how it can be linearized and solved with

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## Numerical solution of PDE:s, Part 8: Complex Ginzburg-Landau Equation

In the previous numerical solution posts, I described linear equations like diffusion equation and the Schrödinger equation, and how they

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## A Random Bubbles Picture with ImageJ

In the last post, I described how to create an image with random B&W patterns by using random noise and

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## Creating Bitmaps with Random Patterns

This time I’m going to write about image processing and computer graphics. Many of you may have seen procedurally generated

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## Interplay of Theory Development with Physical Reality

What’s the relation of theories of physics to the actual physical reality they are describing? A naive answer would be

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## The problematic radial momentum operator

In quantum mechanics, position coordinates x,y,z of a particle are replaced with position operators and the components of the momentum

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## An example of fractal generating code

Fractals are structures that contain features at all scales, which means that they always reveal more features when zoomed into.

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## Common logical pitfalls when learning to write mathematical proofs

Mathematics is needed in many scientific disciplines, even though it’s used in somewhat different ways in them. A theoretical physicist

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## Numerical solution of PDE:s, Part 7: 2D Schrödinger equation

Haven’t been posting for a while, but here’s something new… Earlier I showed how to solve the 1D Schrödinger equation

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