Study on Banded Implicit Runge–Kutta Methods for Solving Stiff Differential Equations

Table 3

The test results for system (29).

		Maximum absolute error	Number of Newton iterations	Time
System (26)
	Step size
	BIRK	6.745545867356exp-03	509	0.0700
	SDIRK	2.431772336420exp-01	704	0.0692
	SIRK	2.431772336420exp-01	837	0.1206
	Gauss-IRK	6.745545867356exp-03	702	0.0829
	Step size
	BIRK	4.451608892082exp-04	1003	0.0873
	SDIRK	4.724422976707exp-02	1004	0.0834
	SIRK	4.724422976707exp-02	1430	0.1654
	Gauss-IRK	4.451608892082exp-04	1005	0.0990
	Step size
	BIRK	7.399547229947exp-07	5000	0.2770
	SDIRK	4.679447423339exp-04	5000	0.2294
	SIRK	4.679447423341exp-04	5009	0.5155
	Gauss-IRK	7.399547229947exp-07	5000	0.3121