05.13.18 (Mathematical modelling, calculating methods, and the program systems)
E-mail:
,
Keywords:
Variational methods, optimization methods, solid state physics, quantum theory of magnetism
Subject:
Theoretical physics, quantum theory of magnetism, mathematical modeling
Main publications:
N. B. Melnikov, G. V. Paradezhenko, “Magnitnyi fazovyi perekhod v teorii spinovykh fluktuatsii”, TMF, 183:3 (2015), 486–497
N. B. Melnikov, G. V. Paradezhenko, B. I. Rezer, “Korrelyatsii spinovoi plotnosti i magnitnoe neitronnoe rasseyanie v ferromagnitnykh metallakh”, TMF, 191:1 (2017), 151–171
G. V. Paradezhenko, N. B. Melnikov, B. I. Rezer, “Faktor Debaya-Vallera v rasseyanii neitronov ferromagnitnymi metallami”, TMF, 195:1 (2018), 91–104
N. B. Melnikov, G. V. Paradezhenko, B. I. Rezer, “Vliyanie fononov na magnitnye kharakteristiki metallov pri konechnykh temperaturakh”, TMF, 201:1 (2019), 1531–1540
N. B. Melnikov, G. V. Paradezhenko, B. I. Rezer, “Metod prodolzheniya po parametru dlya nelineinoi sistemy skalyarnykh i funktsionalnykh uravnenii”, Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki, 60:3 (2020), 64–71
G. Paradezhenko, A. Pervishko, D. Yudin, “Tensor train optimization of parameterized quantum circuits”, Pis'ma v Zh. Èksper. Teoret. Fiz., 118:12 (2023), 938–939; JETP Letters, 118:12 (2023), 938–945
3.
G. V. Paradezhenko, A. A. Pervishko, D. I. Yudin, “Machine learning for the search for topological spin textures”, UFN, 193:11 (2023), 1237–1247; Phys. Usp., 66:11 (2023), 1164–1173
N. B. Melnikov, G. V. Paradezhenko, B. I. Reser, “Numerical continuation method for nonlinear system of scalar and functional equations”, Zh. Vychisl. Mat. Mat. Fiz., 60:3 (2020), 405–412; Comput. Math. Math. Phys., 60:3 (2020), 404–410
N. B. Melnikov, G. V. Paradezhenko, B. I. Reser, “Effect of phonons on the magnetic characteristics of metals at finite temperatures”, TMF, 201:1 (2019), 137–148; Theoret. and Math. Phys., 201:1 (2019), 1531–1540
G. V. Paradezhenko, N. B. Melnikov, B. I. Reser, “Debye–Waller factor in neutron scattering by ferromagnetic metals”, TMF, 195:1 (2018), 91–104; Theoret. and Math. Phys., 195:1 (2018), 572–583
N. B. Melnikov, G. V. Paradezhenko, B. I. Reser, “Spin–density correlations and magnetic neutron scattering in ferromagnetic metals”, TMF, 191:1 (2017), 151–171; Theoret. and Math. Phys., 191:1 (2017), 602–619
G. V. Paradezhenko, N. B. Melnikov, B. I. Reser, “Spin-density correlator and its Fourier transform in the dynamic spin-fluctuation theory”, Num. Meth. Prog., 17:4 (2016), 474–486
N. B. Melnikov, G. V. Paradezhenko, “Magnetic phase transitions in spin-fluctuation theory”, TMF, 183:3 (2015), 486–497; Theoret. and Math. Phys., 183:3 (2015), 868–877
