Graduated from Yerevan State University in 1973, majoring in Mathematics. Currently he works as a Head of Sector in the Laboratory of Information Technology of the Joint Institute for Nuclear Research in Dubna. Research interests include: mathematical modeling, numerical methods, nonlinear problems, multigrid methods, parallel algorithms.
E. A. Ayryan, M. M. Gambaryan, M. D. Malykh, L. A. Sevastyanov, “Reversible differential schemes for elliptical oscillators”, Zap. Nauchn. Sem. POMI, 528 (2023), 54–78
2022
2.
E. A. Ayryan, M. M. Gambaryan, M. D. Malykh, L. A. Sevastyanov, “On the trajectories of dynamical systems with quadratic right sides, calculated by reversible difference schemes”, Zap. Nauchn. Sem. POMI, 517 (2022), 17–35
A. A. Egorov, L. A. Sevastyanov, V. D. Shigorin, A. S. Ayriyan, E. A. Ayriyan, “Properties of nematic LC planar and smoothly-irregular waveguide structures: research in the experiment and using computer modeling”, Computer Optics, 43:6 (2019), 976–982
A. S. Ayriyan, E. A. Ayrjan, A. A. Egorov, I. A. Maslyanitsyn, V. D. Shigorin, “Numeric modeling of static electric field effect on nematic liquid crystal director orientation”, Mat. Model., 30:4 (2018), 97–107; Math. Models Comput. Simul., 10:6 (2018), 714–720
E. A. Ayryan, M. D. Malykh, L. A. Sevastyanov, “Differential schemes for the ordinary differential equations defining a projective correspondence between layers”, Zap. Nauchn. Sem. POMI, 468 (2018), 202–220; J. Math. Sci. (N. Y.), 240:5 (2019), 634–645
E. A. Ayryan, A. D. Egorov, D. S. Kulyabov, V. B. Malyutin, L. A. Sevastyanov, “Application of functional integrals to stochastic equations”, Mat. Model., 28:11 (2016), 113–125; Math. Models Comput. Simul., 9:3 (2017), 339–348
A. A. Egorov, A. L. Sevastyanov, E. A. Ayryan, L. A. Sevastianov, “Stable computer modeling of thin-film generalized waveguide Luneburg lens”, Mat. Model., 26:11 (2014), 37–44
E. A. Hayryan, A. A. Egorov, A. L. Sevast'yanov, K. P. Lovetskii, L. A. Sevast'yanov, “Application of adiabatic modes method for calculation and design of thin-film waveguide generalized Luneburg lens”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2012, no. 3, 35–45
2010
9.
Evgeny E. Donets, Edik A. Hayryan, Oksana I. Streltsova, “Blowup/scattering alternative for a discrete family of static critical solutions with various number of unstable eigenmodes”, Mat. Model., 22:8 (2010), 119–144; Math. Models Comput. Simul., 3:2 (2011), 165–184
10.
A. A. Egorov, A. L. Sevastyanov, E. A. Ayrjan, K. P. Lovetskiy, L. A. Sevastianov, “Zero approximation of vector model for smoothly-irregular optical waveguide”, Mat. Model., 22:8 (2010), 42–54
E. A. Hayryan, J. Buša, E. E. Donets, I. Pokorný, O. I. Streltsova, “Numerical studies of perturbed static solutions decay in the coupled system of Yang-Mills-dilaton equations with use of MPI technology”, Mat. Model., 17:6 (2005), 103–121
T. L. Boyadjiev, E. E. Donets, D. A. Georgieva, E. A. Hayryan, O. I. Streltsova, “Unstable even-parity eigenmodes of the regular static $\mathrm{SU}(2)$ Yang–Mills-dilaton solutions”, Zh. Vychisl. Mat. Mat. Fiz., 45:5 (2005), 921–934; Comput. Math. Math. Phys., 45:5 (2005), 889–902
2002
13.
J. Džurina, J. Buša, E. A. Hayryan, “Oscillatory Properties of Second-Order Functional Differential Equations of the Neutral Type”, Differ. Uravn., 38:4 (2002), 565–569; Differ. Equ., 38:4 (2002), 599–604
14.
J. Dzurina, J. Buša, E. A. Hayryan, “Oscillation Criteria for Second-Order Differential Equations of Neutral Type with Mixed Arguments”, Differ. Uravn., 38:1 (2002), 126–128; Differ. Equ., 38:1 (2002), 137–140
E. A. Hayryan, P. N. Vabishchevich, M. Pavlus, A. V. Fedorov, “Additive difference schemes for filtration problems in multilayer systems”, Mat. Model., 13:10 (2001), 91–102