Geodesic
Fourth-order diagonally implicit schemes for evolution equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 6, pp. 1080-1084

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New fourth-order methods are proposed for solving both ordinary and partial differential equations. The derivation of the methods is based on the form of diagonally implicit schemes applied to stiff ordinary differential equations. The methods are absolutely and unconditionally stable. Test computations are presented. 
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     author = {N. V. Shirobokov},
     title = {Fourth-order diagonally implicit schemes for evolution equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1080--1084},
     publisher = {mathdoc},
     volume = {49},
     number = {6},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_6_a10/}
}
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N. V. Shirobokov. Fourth-order diagonally implicit schemes for evolution equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 6, pp. 1080-1084. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_6_a10/