Geodesic
New splitting methods for two-dimensional evolutionary equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 7, pp. 1187-1191

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New second- and third-order splitting methods are proposed for evolutionary-type partial differential equations in a two-dimensional space. These methods are derived on the basis of diagonally implicit methods applied to the numerical analysis of stiff ordinary differential equations. The splitting methods are found to be absolutely unconditionally stable. Test calculations are presented. 
@article{ZVMMF_2007_47_7_a5,
     author = {N. V. Shirobokov},
     title = {New splitting methods for two-dimensional evolutionary equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1187--1191},
     publisher = {mathdoc},
     volume = {47},
     number = {7},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_7_a5/}
}
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N. V. Shirobokov. New splitting methods for two-dimensional evolutionary equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 7, pp. 1187-1191. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_7_a5/