Geodesic
A CAS REDUCE investigation of the stability of Rusanov's scheme with conditions at domain joints
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 8, pp. 90-100 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1996_36_8_a9,
     author = {S. I. Serdyukova},
     title = {A {CAS} {REDUCE} investigation of the stability of {Rusanov's} scheme with conditions at domain joints},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {90--100},
     year = {1996},
     volume = {36},
     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_8_a9/}
}
TY  - JOUR
AU  - S. I. Serdyukova
TI  - A CAS REDUCE investigation of the stability of Rusanov's scheme with conditions at domain joints
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1996
SP  - 90
EP  - 100
VL  - 36
IS  - 8
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_8_a9/
LA  - ru
ID  - ZVMMF_1996_36_8_a9
ER  - 
%0 Journal Article
%A S. I. Serdyukova
%T A CAS REDUCE investigation of the stability of Rusanov's scheme with conditions at domain joints
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1996
%P 90-100
%V 36
%N 8
%U http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_8_a9/
%G ru
%F ZVMMF_1996_36_8_a9
S. I. Serdyukova. A CAS REDUCE investigation of the stability of Rusanov's scheme with conditions at domain joints. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 8, pp. 90-100. http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_8_a9/

[1] Berger M. J., “Stability of interfaces with mesh refinement”, Math. Comput., 45 (1985), 301–318 | DOI | MR | Zbl

[2] Starius G., “On composite mesh difference methods for hyperbolic differential equations”, Numer. Math., 35 (1980), 241–245 | DOI | MR

[3] Thuné M., Stability of difference approximations of hyperbolic systems on substructured domains, Rept. 106, Dept. Scient. Comput. Uppsala Univ., 1986

[4] Kreiss H.-O., “Stability theory for mixed initial boundary value problems”, Math. Comput., 22:104 (1968), 703–714 | DOI | MR | Zbl

[5] Gustafsson B., Kreiss H.-O., Sundstrom A., “Stability theory of difference approximations for mixed initial boundary value problems, II”, Math. Comput., 26:119 (1972), 649–686 | DOI | MR | Zbl

[6] Rusanov V. V., “Difference scheme of third-order accuracy for “across” — computation discontinuous solutions”, Fluid Dynamics Trans., 4 (1969), 285–294

[7] Rusanov V. V., “On difference schemes of third order accuracy for nonlinear hyprobolic systems”, J. Comput. Phys., 5:3 (1970), 507–516 | DOI | MR | Zbl

[8] Hearn A. C., REDUCE user's manuel. Version 3.4, Rand Publication, 1991, CP78 (Rev. 7/91)

[9] Otto K., Thuné M., “Stability of a Runge–Kutta method for the Euler equations on a substracted domain”, SIAM J. Sci. Statist. Comput., 10:1 (1989), 154–174 | DOI | MR | Zbl

[10] Serdyukova S. I., Skhema Rusanova. Issledovanie ustoichivosti v ravnomernoi metrike. Asimptotika v okrestnosti izolirovannogo razryva, Soobsch. R5-10708, OIYaI, Dubna, 1977

[11] Serdyukova S. I., Algebraic problem of studying difference boundary value problems stability on PC, Preprint E5-94-485, JINR, Dubna, 1994 | MR

[12] Mazepa H. E., Serdyukova S. I., “Issledovanie ustoichivosti odnoi raznostnoi kraevoi zadachi s primeneniem sistemy analiticheskikh vychislenii”, Izv. vuzov. Matematika, 1985, no. 10(281), 55–61 | MR | Zbl

[13] Serdyukova S. I., “Ob ustoichivosti v $C$ raznostnykh kraevykh zadach”, Vychisl. protsessy i sistemy, 8, Nauka, M., 1991, 292–327 | MR