Geodesic
Estimates of local and global errors of the implicit Störmer method for systems of equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 2, pp. 267-271 Cet article a éte moissonné depuis la source Math-Net.Ru

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Errors of the Störmer method of an arbitrary order for systems of equations are estimated. Both the method error and the roundoff errors are taken into account. The global error is estimated using the ellipsoid method, which does not result in the wrapping effect. 
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     author = {N. D. Zolotar\"eva},
     title = {Estimates of local and global errors of the implicit {St\"ormer} method for systems of equations},
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N. D. Zolotarëva. Estimates of local and global errors of the implicit Störmer method for systems of equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 2, pp. 267-271. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_2_a9/

[1] Arushanyan A. B., Zaletkin S. F., Chislennoe reshenie obyknovennykh differentsialnykh uravnenii na fortrane, Izd-vo MGU, M., 1990 | Zbl

[2] Zolotareva H. D., Filippov A. F., “Otsenka lokalnoi i globalnoi oshibok metoda Shtermera dlya sistemy uravnenii”, Zh. vychisl. matem. i matem. fiz., 44:1 (2004), 111–122 | MR | Zbl

[3] Filippov A. F., “Strogaya otsenka oshibki pri priblizhennom vychislenii resheniya sistemy differentsialnykh uravnenii”, Math. Montisnigri, 2 (1993), 29–42 | MR | Zbl

[4] Zolotareva H. D., “Metod ellipsoidov dlya otsenki globalnoi oshibki metoda Shtermera”, Vestn. MGU. Ser. 15. Vychisl. matem. i kibernetika, 2002, no. 1, 18–23 | MR | Zbl

[5] Reshetnyak Yu. N., “Summirovanie ellipsoidov v zadache garantirovannogo otsenivaniya”, Prikl. matem. i mekhan., 53:2 (1989), 249–254 | MR | Zbl