Willmore flow for the radially symmetric case in three space dimensions
A torus evolves into a stationary Willmore torus
(Graphics show half of the surface of revolution)
Scale: Major radius = 5, minor radius = 2.
Time step = 10-3.
Spatial resolution of generating curve = 0.01-0.05.
System: Toshiba 4015CDT Laptop with an Intel Pentium II 266 MHz.
Computation time: About 53 minutes for 1,500,000 iterations.

After 0 time steps.
after 0 steps
After 10,000 time steps.
after 10,000 steps

After 50,000 time steps.
after 50,000 steps
After 1,500,000 time steps.
after 1,500,000 steps