Publications  of  Irina  Tselishcheva


  1. I.V. Pershin, G.I. Shishkin, I.V. Tselishcheva. Parallelizing algorithms for the solution of boundary value problems for singularly perturbed elliptic equations. In: Algorithms and Programmed Tools of Parallel Computations. Ekaterinburg, Ural Branch of Rus. Acad. Sci., 1995, pp. 125-147 (in Russian).

  2. G.I. Shishkin, I.V. Tselishcheva. Parallel methods of solving singularly perturbed boundary value problems for elliptic equations. Mat. Model., 1996, 8 (3), 111-127 (in Russian, English summary).

  3. I.V. Tselishcheva, G.I. Shishkin. Approximation of the solution and diffusion flux for singularly perturbed boundary value problems. In: Proceedings of the International Conference in a honour of P.L. Chebyshev's 175th anniversary, Moscow, 1996, vol. 2, pp. 373-377 (in Russian).

  4. P.A. Farrell, P.W. Hemker, G.I. Shishkin, I.V. Tselishcheva. A domain decomposition method for singularly perturbed boundary value problems with a local disturbance of the initial conditions. Equations with convective terms. In: Proceedings of the Russian Workshop "Theory of the mesh methods for non-linear boundary-value problems", Kazan, 1996, pp. 98-100 (in Russian).

  5. G.I. Shishkin, I.V. Tselishcheva. A decomposition method for singularly perturbed boundary value problems with a local disturbance of the initial conditions. Equations with convective terms. Izv. Vyssh. Uchebn. Zaved. Mat., 1997, 4, 98-107 (in Russian); transl. in Russian Math. (Izv. VUZ), 1997, 41 (4), 96-105.

  6. I.V. Tselishcheva, G.I. Shishkin. On one difference method of solving singularly perturbed convection-diffusion problems. In: Proceedings of the VIIth All-Russian School-Workshop "Modern Problems of Mathematical Modelling", Rostov-na-Donu, 1997, pp. 143-147 (in Russian).

  7. I.V. Tselishcheva, G.I. Shishkin. A decomposition method for singularly perturbed parabolic problems of reaction-diffusion. In: Proceedings of the 2nd Russian Workshop "Theory of the mesh methods for non-linear boundary-value problems", Kazan, 1998, pp. 71-74 (in Russian).

  8. G.I. Shishkin, I.V. Tselishcheva. Approximations of the solution and diffusion fluxes for singularly perturbed parabolic equations with convective terms on a strip. In: Finite Difference Methods: Theory and Applications (A.A. Samarskii, L.G. Vulkov and P.N. Vabishchevich eds.), Nova Science, N.Y., 1999, pp. 241-249.

  9. I.V. Tselishcheva, G.I. Shishkin. A decomposition method for singularly perturbed reaction-diffusion equations. In: Recent Advances in Numerical Methods and Applications II (O.P. Iliev, M.S. Kaschiev, S.D. Margenov, B.H. Sendov and P.S. Vassilevski eds.), Proceedings of the Fourth International Conference, Sofia, Bulgaria, August 19-23, 1998, World Scientific, Singapore, 1999, pp. 556-564.

  10. I.V. Tselishcheva, G.I. Shishkin. A decomposition method for quasilinear singularly perturbed parabolic equations in the reaction-diffusion case. In: Analytical and Numerical Methods for Convection-Dominated and Singularly Perturbed Problems (J.J.H. Miller, G.I. Shishkin and L.Vulkov eds.), [Proceedings of the International Workshop, Lozenetz, Bulgaria, August 27-31, 1998], Nova Science, N.Y., 2000, 251-257.

  11. P.W. Hemker, G.I. Shishkin, I.V. Tselishcheva. Parallel methods for quasilinear singularly perturbed reaction-diffusion equations. In: Proceedings of the International Conference on Distributed Systems: Optimization and Economic-Environmental Applications (DSO'2000), Ekaterinburg, Russia, 30 May - 2 June, 2000, pp. 348-351.

  12. I.V. Tselishcheva, G.I. Shishkin. Domain decomposition finite difference method for singularly perturbed elliptic equations in composed domains. In: Abstracts of the Second Conference on Numerical Analysis and Applications, Rousse, Bulgaria, June 11 - 15, 2000, p.

  13. I.V. Tselishcheva, G.I. Shishkin. Domain decomposition methods for singularly perturbed problems in composed domains. In: Abstracts of the Fourth Siberian Congress on Applied and Industrial Mathematics (INPRIM-2000), Novosibirsk, 2000. Part II, p. 111.

  14. I.V. Tselishcheva, G.I. Shishkin. A domain decomposition method for singularly perturbed parabolic problems with a transition layer. In: Proceedings of the 3rd Russian Workshop "Theory of the mesh methods for non-linear boundary-value problems", Kazan, 2000, pp. 129-131 (in Russian).

  15. I.V. Tselishcheva, G.I. Shishkin. A domain decomposition finite difference method for singularly perturbed elliptic equations in composed domains. In: Numerical Analysis and Its Applications: Second International Conference, NAA 2000, Rousse, Bulgaria, June 2000; Revised Papers (L.Vulkov, J.Wasniewski and P.Yalamov eds.) / Lecture Notes in Computer Science; Vol. 1988; Springer, 2001, pp. 756-763.

  16. I.V. Tselishcheva, G.I. Shishkin. A domain decomposition method for singularly perturbed problems with a concentrated source. In: Problems of Theoretical and Applied Mathematics, Proceedings of the 32-nd Regional Conference of Young Mathematicians, Ekaterinburg, Ural Branch of RAS, 2001. P. 167-171 (in Russian).

  17. I.V. Tselishcheva, G.I. Shishkin. About one singularly perturbed problem of diffusion with a discontinuous convective flow. In: Modern Problem of Mathematical Modeling, Proceedings of the IX-th All-Russian School-Workshop, Durso, September 17-22, 2001. Rostov-na-Donu, 2001. P. 388-396.

  18. G.I. Shishkin, I.V. Tselishcheva. Domain decomposition methods for singularly perturbed problems with Robin boundary conditions in the presence of a concentrated source // Optimization of Finite Element Approximations & Splines and Wavelets: International conference OFEA'2001, St-Petersburg, Russia, June 25-29, 2001. Abstracts. P.62-63.

  19. P.W. Hemker, G.I. Shishkin, I.V. Tselishcheva. Parameter-uniform numerical methods for a class of quasilinear singularly perturbed convection-diffusion equations in a composed domain. In: Proceedings of the International Conference on Computational Mathematics (Novosobirsk, June 2002), G.A. Mikhailov, V.P. Il'in and Yu.M. Laevsky eds. ICM&MG Publisher, 2002. Part II. P. 460-466.

  20. I.V. Tselishcheva, G.I. Shishkin. Uniform, in a small parameter, numerical methods for a boundary value problem of convection-diffusion type in a composed domain In: Problems of Theoretical and Applied Mathematics, Proceedings of the 33-rd Regional Conference of Young Mathematicians, Ekaterinburg, Ural Branch of RAS, 2002. P. 183-188 (in Russian).

  21. I.V. Tselishcheva, G.I. Shishkin. A domain decomposition method for a system of singularly perturbed reaction-diffusion equations. In: Abstracts of the IX-th All-Russian Workshop on Problems of Grid Generation and the XIV-th All-Russian Conference "Theoretical Foundations and Construction of Numerical Algorithms for Solving Problems of Mathematical Physics" (Durso, September 15-22, 2002). Ekaterinburg, Ural Branch of RAS, 2002. P. 59-61.


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