VIM-Based Dynamic Sparse Grid Approach to Partial Differential Equations

Table 1

Condition number of the Fokker-Planck equation.

𝑗	Re	𝜏 = 0.0001			𝜏=0.00001
		𝐿=0	𝐿=1	𝐿=2	𝐿=0	𝐿=1	𝐿=2
4	10	8.9742	6.3786	12.1637	1.56319	1.9723	2.3335
	100	91.8021	49.1826	186.9260	9.5434	11.9168	19.2971
	1000	1891.2	512.7634	3856.3	403.3223	148.8976	812.9812
7	10	40.3968	32.2256	82.2844	41.2311	4.3834	7.2188
	100	813.5472	199.1953	1245.7	81.7719	49.5538	173.4967
	1000	21987.0000	2426.8	39004	3688.30	699.4512	6917.4
10	10	298.5375	145.7761	663.4654	20.6612	18.4523	40.1116
	100	7821.7000	1217.8	14346	698.5623	212.9856	1274.6
	1000	194670	13887	523830	38421	3974.4	79248