American Journal of Computational and Applied Mathematics

American Journal of Computational and Applied Mathematics is a peer-reviewed international journal. This journal publishes significant research papers from all branches of applied mathematical and computational sciences. It publishes original papers of high scientific value in all areas of computational and applied mathematics.

Valentina Kolybasova

Editorial Board Member of American Journal of Computational and Applied Mathematics

Staff Scientist, Moscow State University, Faculty of Physics, Russia

Research Areas

Partial differential equations

Education

2003-2006Ph.D. Faculty of Physics, Moscow State University
1997-2003 M.Sc.mathematics, Faculty of Physics, Moscow State University

Experience

2006-presentResearcher, Moscow State University, Faculty of Physics
2003-presentteacher, Faculty of Physics, Moscow State University
2003-presentresearcher, mathematics at Moscow State University and Keldysh Institute of Applied Mathematics

Publications: Journals

[1]  Krutitskii, P.A., Kolybasova, V.V. (2004) On the properties of solutions to a system of two singular integral equations with Cauchy operators. Doklady Mathematics (English translation), 69(1), 84–88.
[2]  Krutitskii, P.A., Chikilev, A.O., Krutitskaya, N.Ch., Kolybasova, V.V. (2005) On a generalization of the Neumann problem for the Laplace equation outside cuts in a plane. Math. Meth. Appl. Sci., 25(5), 593–606.
[3]  Krutitskii, P.A., Kolybasova, V.V. (2005) A generalization of the Neumann problem for the Helmholtz equation outside cuts on the plane. Differential Equations (English translation), 41(5), 1213–1224.
[4]  Krutitskii, P.A., Kolybasova, V.V. (2005) On the dissipative Helmholtz equation in a cracked domain with the Dirichlet–Neumann boundary condition. Journal KSIAM, 9(1), 63–77.
[5]  Krutitskii, P.A., Kolybasova, V.V. (2005) On the mixed problem for the Helmholtz equation in a planar domain with cuts. Russian Mathematical Surveys (English translation), 60(5), 973–974.
[6]  Krutitskii, P.A., Kolybasova, V.V. (2005) On a mixed problem for the dissipative Helmholtz equation in a two-dimensional domain with cuts with the Dirichlet boundary condition on the cuts. Moscow University Physics Bulletin, 4, 25–28 (in Russian).
[7]  Krutitskii, P.A., Kolybasova, V.V. (2006) On the Dirichlet–Neumann problem for the dissipative Helmholtz equation in a two-dimensional domain with cuts with the Neumann condition on the cuts. Doklady Mathematics (English translation), 73(1), 67–70.
[8]  Krutitskii, P.A., Kolybasova, V.V. (2006) The Dirichlet–Neumann problem for the dissipative Helmholtz equation in a 2-D cracked domain with the Neumann condition on cracks. Tsukuba J. Math., 30(1), 103–129.
[9]  Krutitskii, P.A., Kolybasova, V.V. (2006) On the mixed problem for the dissipative Helmholtz equation in a 2D cracked domain with the Neumann condition on cracks. Complex Variables and Elliptic Equations, 51(8–11), 1065–1089.
[10]  Krutitskii, P.A., Kolybasova, V.V. (2006) The Helmholtz equation outside cuts on the plane with the Dirichlet condition and a third-kind boundary condition on opposite sides of the cuts. Differential Equations (English translation), 42(9), 1247–1261.
[11]  Krutitskii, P.A., Kolybasova, V.V. (2006) To the Dirichlet–Neumann problem for the dissipative Helmholtz equation in a planar domain with cuts with the Neumann condition on the cuts. Moscow University Physics Bulletin, 4, 6–9 (in Russian).
[12]  Kolybasova, V., Krutitskii, P., Prozorov, K., Vainikko, G. (2009) Numerical treatment of the Cauchy integral equation by discrete Fourier transform. Commun. Numer. Meth. Engng. (International Journal for Numerical Methods in Biomedical Engineering), DOI: 10.1002/cnm.1336.
[13]  Kolybasova, V., Krutitskii, P., Prozorov, K., Vainikko, G. (2011) Application of the discrete Fourier transform to solving the Cauchy integral equation. Journal of Computational and Applied Mathematics, 235(5), 1317–1325.

Publications: Conferences/Workshops/Symposiums

[1]  Kolybasova, V.V. (2005) The mixed problem for the dissipative stationary wave equation in a planar multiply connected domain with screens. Proceedings of Workshop "Waves-2005", Section 2, pp.8–14 (in Russian). Moscow, Russia.
[2]  Kolybasova, V.V., Krutitskii, P.A. (2005) On a generalization of the Neumann problem for the Helmholtz equation outside cuts in a plane. Proceedings of XII International Symposium "Discrete singularities methods in mathematical physics", pp.177–180 (in Russian). Kharkov–Kherson, Ukraine.
[3]  Krutitskii, P.A., Kolybasova, V.V. (2005) On the Dirichlet–Neumann problem for the Helmholtz equation in a planar domain with cuts with the Dirichlet condition on the cuts. Proceedings of XII International Symposium "Discrete singularities methods in mathematical physics", pp.181–184 (in Russian). Kharkov–Kherson, Ukraine.
[4]  Kolybasova, V.V. (2005) The Dirichlet–Neumann problem for the dissipative Helmholtz equation in a two-dimensional domain with cracks with the Neumann condition on the cracks. Proceedings of XXVII Conference for Young Scientists, Moscow State University, Faculty of Mechanics and Mathematics, pp.71–75 (in Russian). Moscow, Russia.
[5]  Kolybasova, V.V. (2006) The boundary value problem for the two-dimensional Helmholtz equation with the Dirichlet and impedance boundary condition on different sides of the cuts. Proceedings of International Conference "Contemporary Methods of Physics and Mathematics", v.1, pp.75–79 (in Russian). Orel, Russia.
[6]  Krutitskii, P., Kolybasova, V. (2007) Acoustic scattering by a thin cylindrical screen with Dirichlet and impedance boundary conditions on opposite sides of the screen. Proceedings of ICIAM 07, PAMM, v.7, No.1, pp.4120015--4120016.
[7]  Kolybasova, V., Krutitskii, P. (2007) Helmholtz equation outside an open arc in a plane with a mixed boundary condition. Proceedings of ICIAM 07, PAMM, v.7, No.1, pp.2040089–2040090.
[8]  Kolybasova, V., Krutitskii, P. (2008) Acoustic scattering by a thin cylindrical screen with the Dirichlet boundary condition and impedance boundary condition on opposite sides of the screen. Proceedings of International Conference "Days on Diffraction-2008", pp. 77–78. St.-Petersburg, Russia.
[9]  Kolybasova, V.V., Krutitskii, P.A. (2009) A numerical solution to the oblique derivative boundary problem for the Laplace equation in a plane. Proceedings of International Conference "Modern problems of mathematics, mechanics and their applications", pp.261--262 (in Russian). Moscow, Russia.
[10]  Kolybasova, V.V., Krutitskii, P.A. (2010) Numerical treatment of a skew-derivative problem for the Laplace equation in the exterior of open arcs: one-point scheme. Proceedings of ICNAAM 2010. AIP Conference Proceedings, v.1281, pp.912–915. Melville, New York.
[11]  Kolybasova, V.V., Krutitskii, P.A., Prozorov, K.V., Vainikko, G. (2010) Solving the Cauchy integral equation by the discrete Fourier transform. Proceedings of Workshops "Discrete singularities methods in mathematical physics", issue 8, pp.57–63 (in Russian). Orel, Russia.