Voir la notice de l'article provenant de la source Math-Net.Ru
@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/} }
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/
[1] Cooper G. J., Sayfy A., “Additive Runge–Kutta methods for stiff ordinary differential equations”, Math. Comp., 40:161 (1983), 207–218 | DOI | MR | Zbl
[2] Novikov E. A., “Neodnorodnyi metod vtorogo poryadka dlya zhestkikh sistem”, Vychisl. tekhnologii, 10:2 (2005), 74–86 | Zbl
[3] Novikov E. A., Tuzov A. O., “Neodnorodnyi metod tretego poryadka dlya additivnykh zhestkikh sistem”, Mat. modelirovanie, 19:6 (2007), 61–70 | MR | Zbl
[4] Khairer E., Vanner G., Reshenie obyknovennykh differentsialnykh uravnenii. Zhestkie i differentsialno-algebraicheskie zadachi, Mir, M., 1999
[5] Novikov E. A., Novikov V. A., Yumatova L. A., “Zamorazhivanie matritsy Yakobi v metode tipa Rozenbroka vtorogo poryadka tochnosti”, Zhurn. vychisl. matematiki i mat. fiziki, 27:3 (1987), 385–390 | MR | Zbl
[6] Novikov E. A., Yavnye metody dlya zhestkikh sistem, Nauka, Novosibirsk, 1997 | MR
[7] Kampowski W., Rentrop P., Schmidt W., “Classication and numerical simulation of electric circuits”, Surveys Math. Indust., 2:1 (1992), 23–65 | MR
[8] Novikov A. E., Novikov E. A., Shornikov Yu. V., “Approksimatsiya matritsy Yakobi v (2,2)-metode resheniya zhestkikh zadach”, Dokl. AN VSh RF, 1:10 (2008), 30–43
[9] Radhakrishnan K., Hindmarsh A. C., Description and Use of LSODE, the Livermore Solver for Ordinary Differential Equations, LLNL report UCRL-ID-113855, December 1993
[10] Merson R. H., “An operationalmethods for integration processes”, Proc. Symp. on Data Proc. Weapons Research Establishment, Salisbury, 1957, 58–59