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 
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/
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     title = {A {CAS} {REDUCE} investigation of the stability of {Rusanov's} scheme with conditions at domain joints},
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Voir la notice de l'article provenant de la source Math-Net.Ru

[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