1.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics
; 62(6 Pt B): 8746-52, 2000 Dec.
Artigo
em Inglês
| MEDLINE
| ID: mdl-11138177
RESUMO
We show that a recently discovered fourth order symplectic algorithm, which requires one evaluation of force gradient in addition to three evaluations of the force, when iterated to higher order, yielded algorithms that are far superior to similarly iterated higher order algorithms based on the standard Forest-Ruth algorithm. We gauge the accuracy of each algorithm by comparing the step-size independent error functions associated with energy conservation and the rotation of the Laplace-Runge-Lenz vector when solving a highly eccentric Kepler problem. For orders 6, 8, 10, and 12, the new algorithms are approximately a factor of 10(3), 10(4), 10(4), and 10(5) better.
2.
Phys Rev B Condens Matter
; 52(14): 10405-10428, 1995 Oct 01.
Artigo
em Inglês
| MEDLINE
| ID: mdl-9980093
3.
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5.
Phys Rev B Condens Matter
; 45(2): 852-874, 1992 Jan 01.
Artigo
em Inglês
| MEDLINE
| ID: mdl-10001127
6.
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8.
Phys Rev D Part Fields
; 37(10): 3001-3005, 1988 May 15.
Artigo
em Inglês
| MEDLINE
| ID: mdl-9958573
9.
Phys Rev D Part Fields
; 37(10): 3006-3009, 1988 May 15.
Artigo
em Inglês
| MEDLINE
| ID: mdl-9958574
10.
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12.
13.
14.
Phys Rev D Part Fields
; 31(12): 3201-3212, 1985 Jun 15.
Artigo
em Inglês
| MEDLINE
| ID: mdl-9955653