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

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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},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {267--271},
     publisher = {mathdoc},
     volume = {45},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_2_a9/}
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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/