On difference schemes for differential-algebraic systems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 10, pp. 1641-1650 Cet article a éte moissonné depuis la source Math-Net.Ru

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M. V. Bulatov. On difference schemes for differential-algebraic systems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 10, pp. 1641-1650. http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_10_a3/

[1] Vlakh I., Singal K., Mashinnye metody analiza i proektirovaniya elektronnykh skhem, Radio i svyaz, M., 1988

[2] Boyarintsev Yu. E., Regulyarnye i singulyarnye sistemy obyknovennykh differentsialnykh uravnenii, Nauka, Novosibirsk, 1980 | Zbl

[3] Chistyakov V. F., “O neterovom indekse lineinykh algebro-differentsialnykh sistem. 1”, Sibirskii matem. zhurnal, 34:3 (1993), 209–219 | MR | Zbl

[4] Bulatov M. V., Chistyakov V. F., “Ob usloviyakh skhodimosti raznostnykh skhem dlya sistem ODU, ne razreshennykh otnositelno proizvodnykh”, Metody chisl. analiza i optimizatsii, Nauka, Novosibirsk, 1987, 175–187 | MR

[5] Campbell S. L., Petzold L. R., “Canonical forms and solvable singular systems of differential equations”, SIAM J. Algebraic and Discrete Methods, 4 (1983), 517–521 | DOI | MR | Zbl

[6] Griepentrog E., Mäfz R., Differential-algebraic systems and their numerical treatment, BSB B.C. Teubner, Leipzig, 1986 | Zbl

[7] Bulatov M. V., “Primenenie metoda naimenshikh kvadratov dlya resheniya singulyarnykh lineinykh sistem obyknovennykh differentsialnykh uravnenii”, Chisl. metody analiza i ikh prilozh., SEI SO AN SSSR, Irkutsk, 1983, 182–185 | MR

[8] Bulatov M. V., “O preobrazovanii algebro-differentsialnykh sistem uravnenii”, Zh. vychisl. matem. i matem. fiz., 34:3 (1994), 360–372 | MR | Zbl

[9] Gear C. W., Numerical initial value problems in ordinary differential equations, Prentice-Hall, Englewood Cliffs, 1971 | Zbl

[10] Bulatov M. V., “O zavisimosti shaga diskretizatsii ot urovnya vozmuschenii singulyarnykh lineinykh sistem ODU”, Uslovno-korrektnye zadachi matem. fiz. i analiza, Krasnoyarskii un-t, Krasnoyarsk, 1988, 211–216

[11] Bulatov M. V., “O ponizhenii indeksa i ustoichivykh metodakh resheniya singulyarnykh sistem”, Chisl. metody resheniya singulyarnykh sistem, Nauka, Novosibirsk, 1989, 196–211

[12] Bulatov M. V., Chistyakov V. F., Scheglova A. A., “Mnogoshagovye raznostnye skhemy dlya resheniya vyrozhdennykh sistem obyknovennykh differentsialnykh uravnenii”, Chisl. metody analiza i optimizatsii, Nauka, Novosibirsk, 1992, 90–96 | MR | Zbl

[13] Ascher U., Petzold L., “Projected implicit Runge–Kutta methods for differential-algebraic equations”, SINUM, 28 (1991), 1097–1120 | MR | Zbl

[14] Lubich Ch., “On projekted Runge–Kutta methods for differential-algebraic equations”, BIT, 31 (1991), 545–550 | DOI | MR | Zbl

[15] Hairer E., Lubich Ch., Roche M., “The numerical solution of differential-algebraic systems by Runge–Kutta methods”, Lect. Notes in Math., 1409, Springer, 1989 | MR | Zbl

[16] Bakhvalov H. C., Chislennye metody, Nauka, M., 1975

[17] Bulatov M. V., Ponizhenie indeksa i chislennoe reshenie neyavnykh sistem obyknovennykh differentsialnykh uravnenii, Dis. $\dots$ kand. fiz.-matem. nauk, IrVTs SO AN SSSR, Irkutsk, 1989, 101 pp.

[18] Bulatov M. V., “Primenenie metoda naimenshikh kvadratov dlya resheniya singulyarnykh lineinykh sistem obyknovennykh differentsialnykh uravnenii”, Chisl. metody analiza i ikh prilozh., SEI SO AN SSSR, Irkutsk, 1983, 182–185 | MR