Efficient Continuation Methods for Computing Ground States of Quasi-2D Rotating Dipolar Bose-Einstein Condensates

Table 1

The first bifurcation points and associated energy levels of (15) with , , , , , and .

Step 1 of Algorithm 1				Step 2 of Algorithm 1
1	0.999994079	—	6.948810421	1	6.809820932	3.05e-04
2	0.813189699	0.186804379	6.835483577	2	6.810717813	4.63e-05
3	0.800819436	0.012370264	—	3	6.810229110	4.02e-05
				4	6.809399974	3.87e-05
				5	6.808222809	3.97e-05
				6	6.806631955	4.82e-05
				7	6.804621207	5.55e-05
				8	6.802425277	5.53e-05
				9	6.800456124	4.69e-05
				10	6.798965356	3.57e-05
				11	6.797954351	2.64e-05
				12	6.797308616	1.95e-05
				13	6.796906662	1.40e-05
				14	6.796657470	9.84e-06
				15	6.796501681	6.89e-06
				16	6.796402891	4.80e-06
				17	6.796339258	3.33e-06
				18	6.796297675	2.30e-06
				19	6.796270168	1.58e-06
				20	6.796251800	1.09e-06
				21	6.796239445	7.44e-07
Total execution time: 723.39 sec