Geodesic
Splitting of evolutionary equations on the basis of diagonal implicit methods of the third order
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 2, pp. 262-266
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New third-order splitting methods for partial differential equations of the evolutionary type in a three-dimensional space are presented. The methods are derived on the basis of diagonally implicit three-stage methods used for numerically solving stiff ordinary differential equations. For the methods to be third-order accurate, the coefficients of the methods must satisfy some previously known and additional conditions. 
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N. V. Shirobokov. Splitting of evolutionary equations on the basis of diagonal implicit methods of the third order. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 2, pp. 262-266. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_2_a8/

[1] Khairer E., Vanner G., Reshenie obyknovennykh differentsialnykh uravnenii. Zhestkie i differentsialno-algebraicheskie zadachi, Mir, M., 1999

[2] Shirobokov N. V., “Diagonalno-neyavnye skhemy Runge–Kutty”, Zh. vychisl. matem. i matem. fiz., 47:7 (2002), 1012–1017 | MR

[3] Shirobokov N. V., “Rasscheplenie evolyutsionnykh uravnenii na osnove diagonalno-neyavnykh metodov”, Zh. vychisl. matem. i matem. fiz., 48:9 (2003), 1416–1423 | MR

[4] Marchuk G. I., Osnovy vychislitelnoi matematiki, Nauka, M., 1980 | MR

[5] Lebedev V. I., Funktsionalnyi analiz i vychislitelnaya matematika, Fizmatlit, M., 2000