A Class of Methods with Optimal Stability Properties for the Numerical Solution of IVPs: Construction and Implementation
2017 ◽
Vol 14
(01)
◽
pp. 1750007
Keyword(s):
Considering the methods with future points technique from second derivative general linear methods (SGLMs) point of view, makes it possible to improve their stability properties. In this paper, we extend the stability regions of a modified version of E2BD formulas to optimal one and show its effectiveness by numerical verifications. Also, implementation issues, with numerical experiments, of these methods are investigated in a variable step-size mode.
2011 ◽
Vol 2011
◽
pp. 1-17
◽
Keyword(s):
2020 ◽
Vol 11
(01)
◽
pp. 2050001
Keyword(s):
1999 ◽
Vol 47
(12)
◽
pp. 3277-3288
◽
2019 ◽
Vol 12
(2)
◽
pp. 640-660
◽
1997 ◽
Vol 57
(5)
◽
pp. 1455-1484
◽