Step-1: A first spatial problem

In this step, we create a spatial problem and play with it a little bit. No SDC, no multi-level here so far.

• Part A: Spatial problem setup. A first problem class, its data types, and a test of its operator.

• Part B: Spatial accuracy check. Measuring the order of accuracy in space.

• Part C: Collocation problem setup. Nodes, the collocation matrix, and the collocation problem solved directly.

• Part D: Collocation accuracy check. Measuring the order of accuracy in time.

Each part is a Python script in jupytext “percent” format: run it with python, open it as a notebook in Jupyter, or read it on the website, where it is executed with every build.