## 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 10: The thin-film equation

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

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

## A Random Bubbles Picture with ImageJ

## Creating Bitmaps with Random Patterns

## Interplay of Theory Development with Physical Reality

## The problematic radial momentum operator

## An example of fractal generating code

## Common logical pitfalls when learning to write mathematical proofs

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

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

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

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

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

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

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

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

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

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

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