An improved trigonometrically fitted P-stable Obrechkoff method for periodic initial-value problems
2005 ◽
Vol 461
(2058)
◽
pp. 1639-1658
◽
Keyword(s):
In this paper we present an improved P-stable trigonometrically fitted Obrechkoff method with phase-lag (frequency distortion) infinity. Compared with the previous P-stable trigonometrically fitted Obrechkoff method developed by Simos, our new method is simpler in structure and more stable in computation. We have also improved the accuracy of the first-order derivative formula. From the numerical illustration presented, we can show that the new method is much more accurate than the previous methods.
2006 ◽
Vol 17
(04)
◽
pp. 545-560
Keyword(s):
1993 ◽
Vol 441
(1912)
◽
pp. 283-289
◽
Keyword(s):
2006 ◽
Vol 17
(05)
◽
pp. 663-675
◽
Keyword(s):
1993 ◽
Vol 10
(2)
◽
pp. 289-297
◽
Keyword(s):
1986 ◽
Vol 15
(3)
◽
pp. 329-337
◽
Keyword(s):
2007 ◽
Vol 18
(03)
◽
pp. 419-431
◽
Keyword(s):
Keyword(s):
1995 ◽
Vol 05
(02)
◽
pp. 159-166
◽
2009 ◽
Vol 20
(03)
◽
pp. 383-398
◽
Keyword(s):
1984 ◽
Vol 11
(3)
◽
pp. 277-281
◽
Keyword(s):