Melnikov, Nikolai Borisovich

Statistics Math-Net.Ru
Total publications: 22
Scientific articles: 22
Presentations: 3

Number of views:
This page:862
Abstract pages:6123
Full texts:1808
Associate professor
Doctor of physico-mathematical sciences (2011)
Speciality: 05.13.18 (Mathematical modelling, calculating methods, and the program systems)
Keywords: Functional integral method, spin-fluctuation theory, dynamic general equilibrium models


Variational methods in computational physics and economics

Main publications:
  1. Melnikov, N., O'Neill, B.C., Dalton, M.G., “Accounting for household heterogeneity in general equilibrium economic growth models”, Energy Economics, 34:5 (2012), 1475–1483  crossref
  2. Melnikov N. B., Reser B. I., Grebennikov V. I., “Extended dynamic spin-fluctuation theory of metallic magnetism”, J. Phys.: Condens. Matter, 23:27 (2011), 276003 (11 p.)  crossref  adsnasa
  3. Melnikov N. B., Rezer B. I., “Optimalnoe gaussovo priblizhenie v teorii fluktuiruyuschego polya”, Trudy MIAN, 271 (2010), 159–180  mathnet  mathscinet
  4. Melnikov N. B., Reser B. I., Grebennikov V. I., “Spin-fluctuation theory beyond Gaussian approximation”, J. Phys. A: Math. Theor., 43 (2010), 195004 (19 p.)  crossref  zmath  adsnasa
  5. Davydov A. A., Melnikov N. B., “Myagkaya poterya ustoichivosti v blochnoi modeli okeanicheskoi tsirkulyatsii s turbulentnymi potokami”, Trudy MIAN, 259 (2007), 10–19  mathnet  mathscinet  zmath
List of publications on Google Scholar
List of publications on ZentralBlatt

Publications in Math-Net.Ru
1. 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  mathnet  elib; Theoret. and Math. Phys., 201:1 (2019), 1531–1540  isi  scopus
2. G. V. Paradezhenko, N. B. Melnikov, B. I. Reser, “Debye–Waller factor in neutron scattering by ferromagnetic metals”, TMF, 195:1 (2018),  91–104  mathnet  elib; Theoret. and Math. Phys., 195:1 (2018), 572–583  isi  scopus
3. 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  mathnet  mathscinet  elib; Theoret. and Math. Phys., 191:1 (2017), 602–619  isi  scopus
4. Nikolai B. Melnikov, Arseniy P. Gruzdev, Michael G. Dalton, Brian C. O'Neill, “Parallel algorithm for calculating general equilibrium in multiregion economic growth models”, Ural Math. J., 2:2 (2016),  45–57  mathnet  zmath  elib
5. 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  mathnet
6. N. B. Melnikov, G. V. Paradezhenko, “Magnetic phase transitions in spin-fluctuation theory”, TMF, 183:3 (2015),  486–497  mathnet  mathscinet  elib; Theoret. and Math. Phys., 183:3 (2015), 868–877  isi  scopus
7. N. B. Melnikov, B. I. Reser, “Transverse susceptibility and the $T^{3/2}$ law in the dynamic spin-fluctuation theory”, TMF, 181:2 (2014),  358–373  mathnet  elib; Theoret. and Math. Phys., 181:2 (2014), 1435–1447  isi  elib  scopus
8. N. B. Melnikov, G. V. Paradezhenko, “A renormalized Gaussian approximation in the spin-fluctuation theory”, Num. Meth. Prog., 15:3 (2014),  461–475  mathnet
9. N. B. Melnikov, Yu. A. Romanenko, “Optimal Gaussian approximation in the Ising model”, Num. Meth. Prog., 13:3 (2012),  452–464  mathnet
10. N. B. Melnikov, B. C. O'Neill, M. G. Dalton, “Accounting for household heterogeneity in dynamic general equilibrium models”, UBS, 35 (2011),  114–135  mathnet
11. Nickolay B. Melnikov, Brian C. O'Neill, Michael G. Dalton, “Accounting for household heterogeneity in dynamic general equilibrium models”, Mat. Teor. Igr Pril., 2:4 (2010),  52–73  mathnet
12. N. B. Melnikov, B. C. O'Neill, M. G. Dalton, “Consumer aggregation in dynamic general equlibrium models with CES utility functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:5 (2010),  289–296  mathnet  elib
13. N. B. Melnikov, B. I. Reser, “Optimal Gaussian approximation in the fluctuating field theory”, Tr. Mat. Inst. Steklova, 271 (2010),  159–180  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 271 (2010), 149–170  isi  elib  scopus
14. N. B. Melnikov, “Непрерывная деформация модели экономического роста с перекрывающимися поколениями к модели Рамсея”, Matem. Mod. Kraev. Zadachi, 2 (2009),  107–110  mathnet
15. A. A. Davydov, N. B. Melnikov, “Andronov–Hopf bifurcation in simple double diffusion models”, Uspekhi Mat. Nauk, 62:2(374) (2007),  175–176  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 62:2 (2007), 382–384  isi  elib  scopus
16. A. A. Davydov, N. B. Melnikov, “Soft Loss of Stability in an Ocean Circulation Box Model with Turbulent Fluxes”, Tr. Mat. Inst. Steklova, 259 (2007),  10–19  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 259 (2007), 6–15  elib  scopus
17. N. B. Melnikov, “Optimality of Singular Curves in the Problem on a Car with $n$ Trailers”, CMFD, 19 (2006),  114–130  mathnet  mathscinet  zmath  elib; Journal of Mathematical Sciences, 151:6 (2008), 3543–3560  scopus
18. M. I. Zelikin, N. B. Melnikov, “The Bellman function and optimal synthesis in control problems with nonsmooth constraints”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 110 (2006),  134–154  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 121:2 (2004), 2281–2294
19. N. B. Melnikov, “Extremal properties of singularities of Goursat distributions”, Uspekhi Mat. Nauk, 61:4(370) (2006),  191–192  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 61:4 (2006), 778–779  isi  elib  scopus
20. N. B. Melnikov, “A Saddle Point in a Differential Game on an Unbounded Time Interval”, Tr. Mat. Inst. Steklova, 236 (2002),  230–233  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 236 (2002), 218–221
21. M. I. Zelikin, N. B. Melnikov, R. Hildebrand, “The Topological Structure of the Phase Portrait of a Typical Fiber of Optimal Synthesis for Chattering Problems”, Tr. Mat. Inst. Steklova, 233 (2001),  125–152  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 233 (2001), 116–142
22. A. B. Kurzhanskii, N. B. Melnikov, “On the problem of control synthesis: the Pontryagin alternating integral and the Hamilton–Jacobi equation”, Mat. Sb., 191:6 (2000),  69–100  mathnet  mathscinet  zmath; Sb. Math., 191:6 (2000), 849–881  isi  scopus

Presentations in Math-Net.Ru
1. Parallel algorithm for solving and calibrating dynamic general equilibrium models
A. P. Gruzdev, N. B. Melnikov, M. G. Dalton, M. Weitzel, B. C. O'Neill
International conference "Systems Analysis: Modeling and Control" in memory of Academician A. V. Kryazhimskiy
June 1, 2018 14:30
2. Parallel Fair–Taylor algorithm for dynamic general equilibrium models
Nikolai Melnikov, Arseniy Gruzdev
International Conference "Mathematical Theory of Optimal Control" dedicated to the 90th birthday of Academician R. V. Gamkrelidze
June 2, 2017 16:05
3. Теория флуктуирующего поля за пределами гауссова приближения
N. B. Melnikov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
May 16, 2012 14:00

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