Geodesic
An additive third order method for solving rigid nonautonomous problems
Sibirskij žurnal industrialʹnoj matematiki, Tome 13 (2010) no. 1, pp. 84-94

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We construct an additive method of the third order of accuracy for solving rigid nonautonomous problems. We obtain inequalities for controlling the precision of calculations and stability of the numerical algorithm. We include the results of some simulations.
Keywords: rigid problems, additive method, control of precision and stability. 
@article{SJIM_2010_13_1_a7,
     author = {E. A. Novikov},
     title = {An additive third order method for solving rigid nonautonomous problems},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {84--94},
     publisher = {mathdoc},
     volume = {13},
     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2010_13_1_a7/}
}
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E. A. Novikov. An additive third order method for solving rigid nonautonomous problems. Sibirskij žurnal industrialʹnoj matematiki, Tome 13 (2010) no. 1, pp. 84-94. http://geodesic.mathdoc.fr/item/SJIM_2010_13_1_a7/