Fast and Accurate Numerical Solution of Allen–Cahn Equation

Table 5

Runtime result in 3D (sec).

Iterations	Initial value
	Sphere	Dumbbell	Star	Torus	Maze	Random
	2001	2001	2001	1201	2401	2001
CPU:Python	4022.38 (3944)	8050.45 (4087)	4014.83 (4015)	2478.22 (4766)	4844.24 (3814)	4163.17 (4042)
CPU:Pytorch	65.95 (65)	79.23 (40)	65.22 (65)	39.56 (76)	78.72 (62)	65.80 (64)
GPU:Pytorch	1.02	1.97	1.00	0.52	1.27	1.03

The values in parentheses describe how many times the difference is based on GPU:Pytorch time for each test.