M. O. Korpusov, A. N. Levashov, D. V. Lukyanenko, “Analytical-numerical study of finite-time blow-up of the solution to the initial-boundary value problem for the nonlinear Klein–Gordon equation”, Comput. Math. Math. Phys., 60:9 (2020), 1452–1460
M. O. Korpusov, A. K. Matveeva, D. V. Lukyanenko, “Diagnostika mgnovennogo razrusheniya resheniya v nelineinom uravnenii teorii voln v poluprovodnikakh”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 12:4 (2019), 104–113
Koledina K.F., Gubaidullin I.M., Koledin S.N., Baiguzina A.R., Gallyamova I L., Khusnutdinov I R., “Kinetics and Mechanism of the Synthesis of Benzylbutyl Ether in the Presence of Copper-Containing Catalysts”, Russ. J. Phys. Chem. A, 93:11 (2019), 2146–2151
Lukyanenko V D., Shishlenin M.A., Volkov V.T., “Asymptotic Analysis of Solving An Inverse Boundary Value Problem For a Nonlinear Singularly Perturbed Time-Periodic Reaction-Diffusion-Advection Equation”, J. Inverse Ill-Posed Probl., 27:5 (2019), 745–758
V.T. Volkov, D. V. Lukyanenko, N. N. Nefedov, “Analytical-numerical approach to describing time-periodic motion of fronts in singularly perturbed reaction–advection–diffusion models”, Comput. Math. Math. Phys., 59:1 (2019), 46–58
Dmitry Lukyanenko, Nikolay Nefedov, Lecture Notes in Computer Science, 11386, Finite Difference Methods. Theory and Applications, 2019, 72
Vladimir Volkov, Dmitry Lukyanenko, Lecture Notes in Computer Science, 11386, Finite Difference Methods. Theory and Applications, 2019, 612
M. O. Korpusov, D. V. Lukyanenko, A. A. Panin, E. V. Yushkov, “Blow-up of solutions of a full non-linear equation of ion-sound waves in a plasma with non-coercive non-linearities”, Izv. Math., 82:2 (2018), 283–317
Lukyanenko D.V., Shishlenin M.A., Volkov V.T., “Solving of the Coefficient Inverse Problems For a Nonlinear Singularly Perturbed Reaction-Diffusion-Advection Equation With the Final Time Data”, Commun. Nonlinear Sci. Numer. Simul., 54 (2018), 233–247
M. O. Korpusov, D. V. Lukyanenko, A. D. Nekrasov, “Analytic-numerical investigation of combustion in a nonlinear medium”, Comput. Math. Math. Phys., 58:9 (2018), 1499–1509
Korpusov M.O., Lukyanenko D.V., “Instantaneous Blow-Up Versus Local Solvability For One Problem of Propagation of Nonlinear Waves in Semiconductors”, J. Math. Anal. Appl., 459:1 (2018), 159–181
Korpusov M.O., Lukyanenko D.V., Panin A.A., Shlyapugin G.I., “On the Blow-Up Phenomena For a 1-Dimensional Equation of Ion Sound Waves in a Plasma: Analytical and Numerical Investigation”, Math. Meth. Appl. Sci., 41:8 (2018), 2906–2929
Koledina K.F., Koledin S.N., Shchadneva N.A., Gubaidullin I.M., “Kinetics and mechanism of the catalytic reaction between alcohols and dimethyl carbonate”, Russ. J. Phys. Chem. A, 91:3 (2017), 442–447
M. O. Korpusov, D. V. Lukyanenko, E. A. Ovsyannikov, A. A. Panin, “Lokalnaya razreshimost i razrushenie resheniya odnogo uravneniya s kvadratichnoi nekoertsitivnoi nelineinostyu”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 10:2 (2017), 107–123
D. V. Luk'yanenko, V. T. Volkov, N. N. Nefedov, “Dynamically adapted mesh construction for the efficient numerical solution of a singular perturbed reaction-diffusion-advection equation”, Model. i analiz inform. sistem, 24:3 (2017), 322–338
Wu Sh.-L., “Three Rapidly Convergent Parareal Solvers With Application to Time-Dependent PDEs With Fractional Laplacian”, Math. Meth. Appl. Sci., 40:11 (2017), 3912–3926
Korpusov M.O., Lukyanenko D.V., Panin A.A., Yushkov E.V., “Blow-Up Phenomena in the Model of a Space Charge Stratification in Semiconductors: Analytical and Numerical Analysis”, Math. Meth. Appl. Sci., 40:7 (2017), 2336–2346
Lukyanenko D., Nefedov N., Nikulin E., Volkov V., “Use of Asymptotics For New Dynamic Adapted Mesh Construction For Periodic Solutions With An Interior Layer of Reaction-Diffusion-Advection Equations”, Numerical Analysis and Its Applications (Naa 2016), Lecture Notes in Computer Science, 10187, eds. Dimov I., Farago I., Vulkov L., Springer International Publishing Ag, 2017, 107–118
Melnikova A., Levashova N., Lukyanenko D., “Front Dynamics in An Activator-Inhibitor System of Equations”, Numerical Analysis and Its Applications (Naa 2016), Lecture Notes in Computer Science, 10187, eds. Dimov I., Farago I., Vulkov L., Springer International Publishing Ag, 2017, 492–499
V. N. Sofronov, V. E. Shemarulin, “Classification of explicit three-stage symplectic difference schemes for the numerical solution of natural Hamiltonian systems: A comparative study of the accuracy of high-order schemes on molecular dynamics problems”, Comput. Math. Math. Phys., 56:4 (2016), 541–560