## 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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# Category: Linear Algebra

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

## The problematic radial momentum operator

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

## Numerical solution of PDE:s, Part 3: 2D diffusion problem

## Why does quantum mechanics need an infinite dimensional vector space?

## Numerical solution of PDE:s, Part 2: Implicit method

## Linear algebra for balancing chemical reaction equations

## Square roots of matrices and operators

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

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

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

In the earlier posts related to PDE numerical integration, I showed how to discretize 1-dimensional diffusion or heat conduction equations

The infinite-dimensionality of quantum state spaces makes learning QM difficult for many. Here I’ll give a simple example why the fundamental position-momentum commutation relation is not possible with NxN square matrix operators.

In the previous blog post, I showed how to solve the diffusion equation using the explicit method, where the equation

The balancing of chemical reaction equations is familiar for many, either from high school chemistry or introductory university chemistry. A

Everyone knows the definition of the square root of a non-negative number: if x > 0, then the square root