@article{ZVMMF_2010_50_9_a0,
author = {L. M. Skvortsov},
title = {Explicit multistep methods with extended stability domains},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1539--1549},
year = {2010},
volume = {50},
number = {9},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_9_a0/}
}
L. M. Skvortsov. Explicit multistep methods with extended stability domains. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 9, pp. 1539-1549. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_9_a0/
[1] Lebedev V. I., “Kak reshat yavnymi metodami zhestkie sistemy differentsialnykh uravnenii”, Vychisl. protsessy i sistemy, 8, Nauka, M., 1991, 237–291 | MR
[2] Lebedev V. I., Medovikov A. A., “Yavnyi metod vtorogo poryadka tochnosti dlya resheniya zhestkikh sistem obyknovennykh differentsialnykh uravnenii”, Izv. vuzov. Matematika, 1998, no. 9, 55–63 | MR | Zbl
[3] Lebedev V. I., “Yavnye raznostnye skhemy dlya resheniya zhestkikh zadach s kompleksnym ili razdelimym spektrom”, Zh. vychisl. matem. i matem. fiz., 40:12 (2000), 1801–1812 | Zbl
[4] Medovikov A. A., “High order explicit methods for parabolic equations”, BIT, 38:2 (1998), 372–390 | DOI | MR | Zbl
[5] Sommeijer B. P., Shampine L. F., Verwer J. D., “RKC: An explicit solver for parabolic PDEs”, J. Comput. Appl. Math., 88:2 (1997), 315–326 | DOI | MR
[6] Khairer E., Vanner G., Reshenie obyknovennykh differentsialnykh uravnenii. Zhestkie i differentsialno-algebraicheskie zadachi, Mir, M., 1999
[7] Abdulle A., Medovikov A. A., “Second order Chebyshev methods based on orthogonal polynomials”, Numerische Mathematik, 90:1 (2001), 1–18 | DOI | MR | Zbl
[8] Abdulle A., “Fourth order Chebyshev methods with recurrence relation”, SIAM J. Sci. Comput., 23:6 (2002), 2041–2054 | DOI | MR | Zbl
[9] Novikov E. A., Yavnye metody dlya zhestkikh sistem, Nauka, Novosibirsk, 1997 | MR
[10] Tsypkin Ya. Z., Osnovy teorii avtomaticheskikh sistem, Nauka, M., 1977 | MR | Zbl
[11] Fowler M. E., Warten R. M., “A numerical integration technique for ordinary differential equations with widely separated eigenvalues”, IBM J. Res. and Development, 11:5 (1967), 537–543 | DOI | MR | Zbl
[12] Skvortsov L. M., “Yavnye adaptivnye metody chislennogo resheniya zhestkikh sistem”, Matem. modelirovanie, 12:12 (2000), 97–107 | MR | Zbl
[13] Skvortsov L. M., “Yavnyi mnogoshagovyi metod chislennogo resheniya zhestkikh differentsialnykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 47:6 (2007), 959–967 | MR
[14] Skvortsov L. M., “Prostye yavnye metody chislennogo resheniya zhestkikh obyknovennykh differentsialnykh uravnenii”, Vychisl. metody i programmirovanie, 9 (2008), 154–162 http://num-meth.srcc.msu.ru/