Numerical solution of integro-differential systems with a degenerate matrix multiplying the derivative by multistep methods

Differential Equations

Volumn 42, Issue 9, 2006, Pages 1317-1325

  Bulatov, M V ^a   Chistyakova, E V ^a  

^a MATROSOV INSTITUTE FOR SYSTEM DYNAMICS AND CONTROL THEORY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33750923040     PISSN: 00122661     EISSN: None     Source Type: Journal    
DOI: 10.1134/S0012266106090102     Document Type: Article

References (11)

1. Bulatov, M.V., Differ. Uravn., 2002, vol. 38, no. 5, pp. 692-697.
2. Ushakov, E.I., Staticheskaya ustoichivost' elektricheskikh sistem (Statical Stability of Electric Systems), Novosibirsk, 1988.
3. Apartsin, A.S., Neklassicheskie uravneniya Vol'terra I roda: teoriya i prilozheniya (Nonclassical Volterra Equations of the First Kind: Theory and Applications), Novosibirsk, 1999.
4. Chistyakov, V.F., Algebro-differentsial'nye operatory s konechnomernym yadrom (Algebraic-Differential Operators with Finite-Dimensional Kernel), Novosibirsk: Nauka, 1996.
5. Bulatov, M.V. and Chistyakova, E.V., Proc. Intern. Conf. on Computational Math., Novosibirsk, 2004, vol. 2, pp. 813-817.
6. Fikhtengol'ts, G.M., Kurs differentsial'nogo i integral'nogo ischisleniya (Course of Differential and Integral Calculus), St. Petersburg, 1997, vol. 2.
7. Hairer, E., Nørsett, S. P., and Wanner, G., Solving Ordinary Differential Equations. I: Nonstiff Problems, Berlin: Springer, 1987.
8. Translated under the title Reshenie obyknovennykh differentsial'nykh uravnenii. Nezhestkie zadachi, Moscow: Mir, 1990.
9. Gantmakher, F.R., Teoriya matrits (Theory of Matrices), Moscow: Nauka, 1966.
10. Berezin, I.S. and Zhidkov, N.P., Metody vychislenii (Computation Methods), Moscow: Nauka, 1966, vol. 2.
11. Ten, M.Ya., Approximate Solution of Linear Volterra Integral Equations of the First Kind, Cand. Sci. (Phys.-Math.) Dissertation, Irkutsk, 1985.