Step-4: Multilevel SDC

In this step, we will show how pySDC creates a multilevel hierarchy and how MLSDC can be run and tested.

• Part A: Spatial transfer operators. Interpolation between two resolutions, and its order.

• Part B: Multilevel hierarchy. How lists in the description become levels.

• Part C: SDC vs. MLSDC. Half the iterations, but not half the work.

• Part D: MLSDC with particles. Coarsening by a simpler problem, for the Penning trap of Step 3.

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. PenningTrap_3D_coarse.py holds the coarse problem of Part D.