Geodesic
An economical method for computing unsteady temporally non-local radiation conditions for waveguide systems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 8, pp. 1267-1271

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An account is given of exact temporally non-local unsteady partial radiation conditions for half-open waveguide systems and an analysis is carried out. These conditions may be implemented in the discrete case by a method of temporal macrosteps, which enables one to store in the computer memory at most a fixed number of harmonics of one of the electric field components from the previous time levels. The efficiency of the method is demonstrated through a number of model problems. 
@article{ZVMMF_1990_30_8_a14,
     author = {A. R. Maikov and {\CYRA}. D. Poezd and S. A. Yakunin},
     title = {An economical method for computing unsteady temporally non-local radiation conditions for waveguide systems},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     publisher = {mathdoc},
     volume = {30},
     number = {8},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_8_a14/}
}
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A. R. Maikov; А. D. Poezd; S. A. Yakunin. An economical method for computing unsteady temporally non-local radiation conditions for waveguide systems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 8, pp. 1267-1271. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_8_a14/