by Donna A. Calhoun, Christiane Helzel, and Randall J. LeVeque,

The tar file circles.tar.gz contains the directories mentioned below.

**
Movies illustrating the mappings:
**

** Figure 3.1:**

- Better version of Figure 3.1
- Matlab and Python scripts are in circles/grids/circle31
- Movie illustrating mapping

** Figure 3.2:** (Full grid versions)

** Figure 4.1:**

**Shallow water in starlike domain:**

**Advection on the sphere:**

- movie of advection on the sphere at constant angular velocity. 320x160 grid.
- movie of the same computation, shown in the rectangular computational domain.

**Shallow water on the sphere:**

- essentially 1-dimensional wave on the sphere
- comparison with 1d fine grid reference solution
- with AMR on the sphere

**Acoustics in domain with circular inclusions:**

**Turing model, pattern formation on the sphere:**