Сергеев Ярослав Дмитриевич

Место работы

Институт информационных технологий, математики и механики

Кафедра математического обеспечения и суперкомпьютерных технологий

профессор

Ученая степень
Доктор физико-математических наук
Ученое звание
Профессор
Общий стаж работы 37 лет, 2 мес.

Общие сведения

Преподавание

Научная Работа


Образование, учёные степени и учёные звания

Высшее образование
Специальность: прикладная математика. Квалификация: математик.

Дополнительное образование, повышение квалификации, стажировки

06.02.2017 - 06.04.2017
Повышение квалификации: Электронная информационно-образовательная среда вуза, ННГУ, 72 час., документ № 522404111163 рег номер 33-405 от 10.04.2017

16.10.2011 - 25.11.2011
Информационные технологии и компьютерное моделирование в прикладной математике, ННГУ, 72 час.

Список преподаваемых дисциплин


Алгебра и дискретная математика (в соответствии с учебным планом во время командировки в Калабрийский университет по программе "Российско-Итальянский Университет")
Численный анализ (в соответствии с учебным планом во время командировки в Калабрийский университет по программе "Российско-Итальянский Университет")

Публикации

2019

Сборники статей

Kvasov D.E., Mukhametzhanov M.S., Sergeev Ya.D. Ill-conditioning provoked by scaling in univariate global optimization and its handling on the Infinity Computer // AIP Conference Proceedings. New York: American Institute of Physics Inc., volume 2070, article number 20011. 2019. P. 020011-1-4.

Публикации в научных журналах

Sergeev Ya.D. Independence of the Grossone-Based Infinity Methodology from Non-standard Analysis and Comments upon Logical Fallacies in Some Texts Asserting the Opposite // Foundations of Science. № 1. V. 24. 2019. P. 153-170.

2018

Труды (тезисы) конференции

Sergeev Ya.D. Numerical infinities applied for studying Riemann series theorem and Ramanujan summation // International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2017). AIP Conference Proceedings 1978, 020004, 5 pages. 2018. P. 1-5.

Публикации в научных журналах

Brugnano L., Kvasov D.E., Sergeev Ya.D. Foreword to the special issue ‘‘Recent Trends in Numerical Computations: Theory and Algorithms’’ // Applied Mathematics and Computation. V. 318. 2018. P. 1-2.

Cococcioni M., Pappalardo M., Sergeev Ya.D. Lexicographic multi-objective linear programming using grossone methodology: Theory and algorithm // Applied Mathematics and Computation. V. 318. 2018. P. 298-311.

Grishagin V.A., Israfilov R., Sergeev Ya.D. Convergence conditions and numerical comparison of global optimization methods based on dimensionality reduction schemes // Applied Mathematics and Computation. V. 318. 2018. P. 270-280.

Sergeev Ya.D., Kvasov D.E., Mukhametzhanov M.S. On the efficiency of nature-inspired metaheuristics in expensive global optimization with limited budget // Scientific Reports. № 453. V. 8. 2018. P. 1-9.

Sergeev Ya.D., Kvasov D.E., Mukhametzhanov M.S. On strong homogeneity of a class of global optimization algorithms working with infinite and infinitesimal scales // Communications in Nonlinear Science and Numerical Simulation. V. 59. 2018. P. 319-330.

Sergeev Ya.D., Lera D. GOSH: derivative-free global optimization using multi-dimensional space-filling curves // Journal of Global Optimization. № 1. V. 71. 2018. P. 193-211.

Sergeev Ya.D., De Leone R., Fasano G. Planar methods and grossone for the Conjugate Gradient breakdown in nonlinear programming // Computational Optimization and Applications. № 1. V. 71. 2018. P. 73-93.

Sergeev Ya.D., De Leone R., Zhigljavsky A. Guest editors’ preface to the special issue devoted to the 2nd International Conference “Numerical Computations: Theory and Algorithms - NUMTA 2016" // Journal of Global Optimization. № 1. V. 71. 2018. P. 1-4.

2017

Сборники статей

Sergeev Ya.D., Kvasov D.E., Mukhametzhanov M.S. Emmental-type GKLS-based multiextremal smooth test problems with non-linear constraints // Learning and Intelligent Optimization (11th International Conference, LION 11 Nizhny Novgorod, Russia, June 19–21, 2017. Revised Selected Papers). New York: Springer, Lecture Notes in Computer Science, volume 10556. ISBN: 978-3-319-69403-0, doi: 10.1007/978-3-319-69404-7, 401 pages. 2017. P. 381-388.

Sergeev Ya.D. Percolation transition and related phenomena in terms of grossone infinity computations // Advances in Unconventional Computing. Cham: Vol. 22 of the series “Emergence, Complexity and Computation”, pp. 239-266, Springer. 2017. P. 239-266.

Battiti R.., Kvasov D.E., Sergeev Ya.D. Preface // Learning and Intelligent Optimization (11th International Conference, LION 11 Nizhny Novgorod, Russia, June 19–21, 2017. Revised Selected Papers). New York: Springer, Lecture Notes in Computer Science, volume 10556. ISBN: 978-3-319-69403-0, doi: 10.1007/978-3-319-69404-7, 401 pages. 2017. P. V-VI.

Труды (тезисы) конференции

Sergeev Ya.D., Kvasov D.E. Numerical methods of Lipschitz global optimization // Материалы VII Международной молодежной научно-практической конференции с элементами научной школы "Прикладная математика и фундаментальная информатика", посвященной 60-летию Института математики им. С. Л. Соболева СО РАН (Омск, 25 апреля - 4 мая 2017 года). Минобрнауки России, ОмГТУ; ИМ СО РАН ; [отв. ред. А. В. Зыкина]. – Омск : Изд-во ОмГТУ, 2017. – Т. 1, N. 1. – 172 с. : ISBN 978-5-8149-2462-9. 2017. P. 66-67.

Монографии

Sergeev Ya.D., Kvasov D.E. Deterministic Global Optimization: An Introduction to the Diagonal Approach. New York: Springer. ISBN: 978-1-4939-7197-8, doi: 10.1007/978-1-4939-7199-2 , 143 pages. 2017.

Публикации в научных журналах

Sergeev Ya.D., Kvasov D.E., Mukhametzhanov M.S. Operational zones for comparing metaheuristic and deterministic one-dimensional global optimization algorithms // Mathematics and Computers in Simulation. V. 141. 2017. P. 96-109.

Sergeev Ya.D. Numerical infinities and infinitesimals: Methodology, applications, and repercussions on two Hilbert problems // EMS SURVEYS IN MATHEMATICAL SCIENCES. № 2. V. 4. 2017. P. 219-320.

Sergeev Ya.D., Adamatzky A., Akl S., Burgin M. et al. East-West paths to unconventional computing // Progress in Biophysics and Molecular Biology. V. 131. 2017. P. 469-493.

2016

Сборники статей

Grishagin V.A., Israfilov R.A., Sergeev Ya.D. Comparative efficiency of dimensionality reduction schemes in global optimization // NUMERICAL COMPUTATIONS: THEORY AND ALGORITHMS (NUMTA–2016): Proceedings of the 2nd International Conference “Numerical Computations: Theory and Algorithms”. New York: AIP Conference Proceedings, vol. 1776. 2016. P. 060006-1-4.

Sergeev Ya.D., Kvasov D.E., Mukhametzhanov M.S. On the least-squares fitting of data by sinusoids // Advances in Stochastic and Deterministic Global Optimization (edited by Pardalos P., Zhigljavsky A., and Zilinskas J.). New York: Springer International Publishing. Volume 107. ISBN: 978-3-319-29973-0, doi: 10.1007/978-3-319-29975-4_11. 2016. P. 209-226.

Труды (тезисы) конференции

Lera D., Sergeev Ya.D. Space-filling curves and multiple estimates of Hölder constants in derivative-free global optimization // Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2015). AIP Conference Proceedings. : Eds T.E. Simos, C. Tsitouras, vol. 1738, 400008, 4 pages.. 2016. P. 1-4.

Sergeev Ya.D. Numerical infinities and infinitesimals in a new supercomputing framework // Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2015). AIP Conference Proceedings. : Eds T.E. Simos, C. Tsitouras, vol. 1738, 020012. 2016. P. 1-4.

Sergeev Ya.D., Kvasov D.E., Mukhametzhanov M.S. Comments upon the usage of derivatives in Lipschitz global optimization // Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2015). AIP Conference Proceedings. : Eds T.E. Simos, C. Tsitouras, vol. 1738, 400004, 4 pages.. 2016. P. 1-4.

Sergeev Ya.D., Mukhametzhanov M.S. Document Preface of the "Symposium on Global Optimization and Numerical Analysis" // Proceedings of the International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2015). AIP Conference Proceedings. : Eds T.E. Simos, C. Tsitouras, vol. 1738, 400001, 4 pages.. 2016. P. 1-2.

Battiti R., Sergeev Ya.D., Kvasov D.E., Brunato M. GENOPT 2016: Design of a generalization-based challenge in global optimization // Numerical Computations: Theory and Algorithms (NUMTA–2016). AIP Conference Proceedings, vol. 1776. ISBN: 978-0-7354-1438-9, ISSN: 0094-243X, doi: 10.1063/1.4965339. 2016. P. 060005.

Sergeev Ya.D., Kvasov D.E., Mukhametzhanov M.S., De Franco A. Acceleration techniques in the univariate Lipschitz global optimization // Numerical Computations: Theory and Algorithms (NUMTA–2016). AIP Conference Proceedings, vol. 1776. ISBN: 978-0-7354-1438-9, ISSN: 0094-243X, doi: 10.1063/1.4965415. 2016. P. 090051.

Публикации в научных журналах

Sergeev Ya.D., Mukhametzhanov M.S., Kvasov D.E., Lera D. Derivative-free local tuning and local improvement techniques embedded in the univariate global optimization // Journal of Optimization Theory and Applications. № 171. 2016. P. 186-208.

Sergeev Ya.D. Preface to the special issue “Recent developments in non-linear and global optimization” // Optimization Letters. № 2. V. 10. 2016. P. 215-218.

Sergeev Ya.D. The exact (up to infinitesimals) infinite perimeter of the Koch snowflake and its finite area // Communications in Nonlinear Science and Numerical Simulation. № 31. V. 1-3. 2016. P. 21-29.

Sergeev Ya.D., Mukhametzhanov M.S., Mazzia F., Iavernaro F., Amodio P. Numerical methods for solving initial value problems on the Infinity Computer // International Journal of Unconventional Computing. № 1. V. 12. 2016. P. 3-23.

Sergeev Ya.D., Kvasov D.E., Mukhametzhanov M.S. Operational zones for comparing metaheuristic and deterministic one-dimensional global optimization algorithms // Mathematics and Computers in Simulation. V. 141. 2016. P. 96-109.

Amodio P., Iavernaro F., Mazzia F., Mukhametzhanov M.S., Sergeev Ya.D. A generalized Taylor method of order three for the solution of initial value problems in standard and infinity floating-point arithmetic // Mathematics and Computers in Simulation. V. 141. 2016. P. 24-39.

Sergeev Ya.D. The difficulty of prime factorization is a consequence of the positional numeral system // International Journal of Unconventional Computing. V. 12(5-. 2016. P. 453–463.

2015

Сборники статей

Sergeev Ya.D., Garro A. The Grossone methodology perspective on Turing machines // Automata, Universality, Computation (edited by A. Adamatzky). New York: Springer Series "Emergence, Complexity and Computation", Vol. 12. 2015. P. 139-169.

Sergeev Ya.D., Kvasov D.E. On deterministic diagonal methods for solving global optimization problems with Lipschitz gradients // Optimization, Control, and Applications in the Information Age. Switzerland: A. Migdalas, A. Karakitsiou (eds.) - Springer Proceedings in Mathematics & Statistics 130. - Springer International Publishing, Switzerland. 2015. P. 319-337.

Труды (тезисы) конференции

Sergeev Ya.D. Numerical infinitesimals for solving ODEs given as a black-box // AIP Conference Proceedings. Eds T.E. Simos, C. Tsitouras, vol. 1648. 2015. P. 150018.

Sergeev Ya.D. Lipschitz global optimization // Joint ORSC/EURO International Conference 2015 on Continuous Optimization (May 10-12, 2015; Shanghai China). ORSC Press, China. 2015. P. 12.

Mukhametzhanov M.S., Kvasov D.E., Sergeev Ya.D. Comparison of local tuning techniques in Lipschitz global optimization // Joint ORSC/EURO International Conference 2015 on Continuous Optimization (May 10-12, 2015; Shanghai China). ORSC Press, China. 2015. P. 20.

Kvasov D.E., Mukhametzhanov M.S., Sergeev Ya.D. Numerical methods for solving black-box global optimization problems // International Conference 'New Trends in Numerical Analysis: Theory, Methods, Algorithms and Applications' (18-21 June 2015, Falerna, CZ, Italy). Pellegrini Editore (Cosenza, Italy). - Edited by F. Dell'Accio, F. Di Tommaso, M.I. Gualtieri, A. Napoli. - ISBN: 978-88-6822-299-4. - 136 pages. 2015. P. 73-74.

Sergeev Ya.D., Mukhametzhanov M.S., Kvasov D.E. Examples of solving ODEs given as a Black-box on the Infinity Computer // International Conference 'New Trends in Numerical Analysis: Theory, Methods, Algorithms and Applications' (18-21 June 2015, Falerna, CZ, Italy). Pellegrini Editore (Cosenza, Italy). - Edited by F. Dell'Accio, F. Di Tommaso, M.I. Gualtieri, A. Napoli. - ISBN: 978-88-6822-299-4. - 136 pages. 2015. P. 90-91.

Sergeev Ya.D. Numerical computations with infinities and infinitesimals // International Conference 'New Trends in Numerical Analysis: Theory, Methods, Algorithms and Applications' (18-21 June 2015, Falerna, CZ, Italy). Pellegrini Editore (Cosenza, Italy). - Edited by F. Dell'Accio, F. Di Tommaso, M.I. Gualtieri, A. Napoli. - ISBN: 978-88-6822-299-4. - 136 pages.. 2015. P. 20-22.

Sergeev Ya.D. Computations with Grossone-Based Infinities // Unconventional Computation and Natural Computation (14th International Conference UCNC2015, Auckland, New Zealand, August 30 - september 3, 2015, Proceedings). Springer LNCS 9252 (ed. by C.S. Calude and M.J. Dinneen), ISBN: 978-3-319-21818-2, 392 pages. 2015. P. 89-106.

Публикации в научных журналах

Iudin D.I., Sergeev Ya.D., Hayakawa M. Infinity computations in cellular automaton forest-fire model // Journal «Communications in Nonlinear Science and Numerical Simulation». № 3. V. 20. 2015. P. 861-870.

Sergeev Ya.D., Kvasov D.E. A deterministic global optimization using smooth diagonal auxiliary functions // Journal «Communications in Nonlinear Science and Numerical Simulation». № Doi: 10.1016/j.cnsns.2014.08.026. V. 21. 2015. P. 99-111.

Kvasov D.E., Sergeev Ya.D. Deterministic approaches for solving practical black-box global optimization problems // Advances in Engineering Software. № DOI: 10.1016/j.advengsoft.2014.09.014. V. 80. 2015. P. 58-66.

Brugnano L., Sergeev Ya.D., Zhigljavsky A.A. Preface to the special issue NUMTA 2013 // Journal «Communications in Nonlinear Science and Numerical Simulation». № 1. V. 21. 2015. P. 1-2.

Sergeev Ya.D. The Olympic medals ranks, lexicographic ordering and numerical infinities // The Mathematical Intelligencer. № 2. V. 37. 2015. P. 4-8.

Lera D., Sergeev Ya.D. Deterministic global optimization using space-filling curves and multiple estimates of Lipschitz and Holder constants // Journal «Communications in Nonlinear Science and Numerical Simulation». V. 23. 2015. P. 328-342.

Sergeev Ya.D. Un semplice modo per trattare le grandezze infinite ed infinitesime // La Matematica nella Società e nella Cultura: Rivista dell’Unione Matematica Italiana. № Serie I. V. 8. 2015. P. 111-147.

De Leone R., Kvasov D.E., Sergeev Ya.D. Guest editors’ foreword to the special issue devoted to the international conference ‘‘Numerical computations: Theory and Algorithms’’ June 17–23, 2013, Falerna, Italy // Applied Mathematics and Computation. V. 255. 2015. P. 1-2.

Sergeev Ya.D. Letter to the Editor // The Mathematical Intelligencer. № 4. V. 37. 2015. P. 2-3.

2014

Сборники статей

Sergeev Ya.D. Examples of the usage of infinities and infinitesimals in numerical computations // Advances in Artificial Life and Evolutionary Computation, Proc. of the 9th Italian Workshop WIVACE 2014 (edited by C. Pizzuti, G. Spezzano). New York: Springer, Series “Communications in Computer and Information Science”, vol. 445. 2014. P. 190-200.

Sergeev Ya.D. A new computational approach to infinity for modelling physical phenomena // Frontiers of Fundamental Physics and Physics Education Research (edited by B.G. Sidharth, M. Michelini, L. Santi). New York: Springer Proceedings in Physics, Vol. 145. 2014. P. 353-364.

Труды (тезисы) конференции

Sergeev Ya.D., Kvasov D.E. Global optimization methods using the Lipschitz condition // Proceedings of the International Conference “Optimization Control and Applications in the Information Age” (organized in honor of the 60th birthday of Panos Pardalos). Chalkidiki, Greece, 2 pages. 2014. P. 2.

Kvasov D.E., Sergeev Ya.D. Lipschitz global optimization with derivatives // Proceedings of the International Conference “Mathematical and Applied Global Optimization 2014”. Malaga, Spain; ISBN: 978-84-16027-57-6; 4 pages. 2014. P. 45-48.

Kvasov D.E., Mukhametzhanov M.S., Sergeev Ya.D. A numerical comparison of some deterministic and nature-inspired algorithms for black-box global optimization // Proceedings of the “Twelfth International Conference on Computational Structures Technology”. Civil-Comp Press:Stirlingshire (Scotland), doi:10.4203/ccp.106.169; 18 pages. 2014. P. 169.

Сергеев Я.Д., Квасов Д.Е. Безызбыточная стратегия разбиения в задачах глобальной оптимизации с липшицевыми производными // Материалы XIV Международной конференции «Высокопроизводительные параллельные вычисления на кластерных системах HPC 2014», Пермь, 10–12 ноября 2014 г.. Изд-во Пермского политехнического университета. - ISBN 978-5-398-01312-2. 2014. С. 386-393.

Sergeev Ya.D. Recent developments in Lipschitz global optimization // Abstracts of the XVI Baikal International School-seminar “Optimization methods and their applications”. Irkutsk, Melentiev Energy Systems Institute SB RAS. - ISBN 978-5-93908-139-9. 2014. P. 18.

Lera D., Sergeev Ya.D. Global minimization using space-filling curves // Proceedings of the International Conference “Mathematical and Applied Global Optimization 2014”. Malaga, Spain; ISBN: 978-84-16027-57-6. 2014. P. 33-36.

Sergeev Ya.D. An introduction to Lipschitz global optimization // Proceedings of the International Conference “Mathematical and Applied Global Optimization 2014”. Malaga, Spain; ISBN: 978-84-16027-57-6. 2014. P. 153-156.

Публикации в научных журналах

Paulavicius R., Sergeev Ya.D., Kvasov D.E., Zilinskas J. Globally-biased DISIMPL algorithm for expensive global optimization // Journal of Global Optimization. № 2-3. V. 59. 2014. P. 545-567.

Gaudioso M., Malozemov V.N., Sergeev Ya.D. Vladimir Fedorovich Demyanov (18.08.1938–18.04.2014) // Journal of Global Optimization. № 3. V. 60. 2014. P. 391-392.

2013

Сборники статей

Sergeev Ya.D. Numerical computations with infinite and infinitesimal numbers: Theory and applications // Dynamics of Information Systems: Algorithmic Approaches. New York, USA: Springer Proceedings in Mathematics & Statistics, vol. 55, ISBN: 978-1-4614-7582-8. 2013. P. 1-66.

Труды (тезисы) конференции

Sergeev Ya.D., Kvasov D.E. Multiple estimates of the Lipschitz constant for a class of Lipschitz global optimization methods // Proceedings of the VII Moscow International Conference on Operations Research. Moscow:MAKS Press, vol. 1, ISBN: 978-5-317-04572-2, 276 pages. 2013. P. 77-80.

Sergeev Ya.D., Zaborovsky V.S., Eisymont L.K., Muliukha V.A., Kvasov D.E. Hybrid high-precision supercomputer systems // Proceedings of the International Conference 'Numerical Computations: Theory and Algorithms'. Pellegrini Editore: Cosenza (Italy), ISBN: 978-88-6822-032-7, 152 pages. 2013. P. 123.

Kvasov D.E., Sergeev Ya.D. Usage of the Lipschitz condition in diagonal global optimization // Proceedings of the International Conference 'Numerical Computations: Theory and Algorithms'. Pellegrini Editore: Cosenza (Italy), ISBN: 978-88-6822-032-7, 152 pages. 2013. P. 91.

Paulavicius R., Zilinskas J., Sergeev Ya.D., Kvasov D.E. Balancing local and global information in simplicial global optimization algorithms // Optimal Decisions in Statistics and Data Analysis: Abstracts. School of Mathematics, Cardiff University: United Kingdom, 29 pages. 2013. P. 16.

Kvasov D.E., Sergeev Ya.D. Global optimization algorithms using derivatives and their systematic testing // Optimal Decisions in Statistics and Data Analysis: Abstracts. School of Mathematics, Cardiff University: United Kingdom, 29 pages. 2013. P. 7-8.

Kvasov D.E., Sergeev Ya.D. Geometric approach for global optimization in control theory // 26th European Conference on Operational Research EURO 2013: Abstract Book. Rome University 'La Sapienza', Italy, 490 pages. 2013. P. 66.

Kvasov D.E., Sergeev Ya.D. Diagonal methods in Lipschitz global optimization // 4th International Conference on Continuous Optimization ICCOPT-2013: Abstracts. Universidade Nova de Lisboa, Portugal, 115 pages. 2013. P. 101.

Жилинскас Ю., Квасов Д.Е., Паулавичюс Р., Сергеев Я.Д. Ускорение симплексных методов липшицевой глобальной оптимизации // Высокопроизводительные параллельные вычисления на кластерных системах. Материалы XIII Всероссийской конференции (Н. Новгород, 14–16 ноября 2013 г.). Нижний Новгород: Изд-во Нижегородского госуниверситета, ISBN: 978-5-91326-304-9, 312 с.. 2013. С. 128-133.

Francaviglia M., Fatibene L., Sergeev Ya.D. Applications of Grossone in Modern Theoretical Gravity // Proceedings of the International Conference “Numerical Computations: Theory and Algorithms”. Eds. F. Dell’Accio, D.E. Kvasov, Ya.D. Sergeyev, Pellegrini Editore, Cosenza. 2013. P. 70.

Garro A., Sergeev Ya.D. Observing Turing Machines Through the Lens of the Grossone Methodology // Proceedings of the International Conference “Numerical Computations: Theory and Algorithms”. Eds. F. Dell’Accio, D.E. Kvasov, Ya.D. Sergeyev, Pellegrini Editore, Cosenza. 2013. P. 71.

Iudin D.I., Sergeev Ya.D., M. Hayakawa Infinity Computations in Percolation Theory Applications // Proceedings of the International Conference Numerical Computations: Theory and Algorithms. Eds. F. Dell’Accio, D.E. Kvasov, Ya.D. Sergeyev, Pellegrini Editore, Cosenza. 2013. P. 80.

Iudin F.D., Iudin D.I., Sergeev Ya.D. Self-Organized Bursting Dynamics of Neuronal Networks and Infinity Computations // Proceedings of the International Conference Numerical Computations: Theory and Algorithms. Eds. F. Dell’Accio, D.E. Kvasov, Ya.D. Sergeyev, Pellegrini Editore, Cosenza. 2013. P. 81.

Lera D., Sergeev Ya.D. Global Optimization Methods for Lipschitz Functions Using Space-Filling Curves // Proceedings of the International Conference Numerical Computations: Theory and Algorithms. Eds. F. Dell’Accio, D.E. Kvasov, Ya.D. Sergeyev, Pellegrini Editore, Cosenza. 2013. P. 93.

Sergeev Ya.D. Grossone Infinity Computing: Foundations // Proceedings of the International Conference “Numerical Computations: Theory and Algorithms”. Eds. F. Dell’Accio, D.E. Kvasov,Ya.D. Sergeyev, Pellegrini Editore, Cosenza. 2013. P. 29.

Sergeev Ya.D. Numerical Infinitesimals for Solving ODEs // Proceedings of the International Conference “Numerical Computations: Theory and Algorithms”. Eds. F. Dell’Accio, D.E. Kvasov,Ya.D. Sergeyev, Pellegrini Editore, Cosenza. 2013. P. 122.

Монографии

Dell Accio F., Kvasov D.E., Sergeev Ya.D. Proceedings of the International Conference 'Numerical Computations: Theory and Algorithms'. Cosenza (Italy): Pellegrini Editore, ISBN: 978-88-6822-032-7, 152 pages. 2013.

Sergeev Ya.D., Strongin R.G., Lera D. Introduction to Global Optimization Exploiting Space-Filling Curves. New York, USA: Springer, ISBN: 978-1-4614-8041-9, 133 pages. 2013.

Публикации в научных журналах

Квасов Д.Е., Сергеев Я.Д. Методы липшицевой глобальной оптимизации в задачах управления // Автоматика и Телемеханика / Automation and Remote. № 9. Т. 74. 2013. С. 3-19.

Kvasov D.E., Sergeev Ya.D. Lipschitz global optimization methods in control problems // Automation and Remote Control. № 9. V. 74. 2013. P. 1435-1448.

Lera D., Sergeev Ya.D. Acceleration of univariate global optimization algorithms working with Lipschitz functions and Lipschitz first derivatives // SIAM Journal on Optimization. № 1. V. 23. 2013. P. 508-529.

Sergeev Ya.D. Solving ordinary differential equations by working with infinitesimals numerically on the Infinity Computer // Applied Mathematics and Computation. № 22. V. 219. 2013. P. 10668-10681.

Sergeev Ya.D., Garro A. Single-tape and multi-tape Turing machines through the lens of the Grossone methodology // Journal of Supercomputing. № 2. V. 65. 2013. P. 645-663.

2012

Труды (тезисы) конференции

Kvasov D.E., Sergeev Ya.D. Deterministic global optimization methods for solving engineering problems // Proceedings of the Eleventh International Conference on Computational Structures Technology. Civil-Comp Press, Stirlingshire (Scotland), vol. 99, ISBN: 978-1-905088-54-6. 2012. P. 62.

Квасов Д.Е., Сергеев Я.Д. Вычисления высокой точности на компьютере нового типа // Высокопроизводительные параллельные вычисления на кластерных системах. Материалы XII Всероссийской конференции (Н. Новгород, 26–28 ноября 2012 г.). Нижний Новгород: Изд-во Нижегородского госуниверситета, ISBN: 978-5-91326-223-3, 496 с.. 2012. С. 365-369.

Sergeev Ya.D. Deterministic global optimization using the Lipschitz condition // Proceedings of the 15th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetics and Verified Numerics SCAN2012, Novosibirsk (Russia), 23-29 September 2012. ICT SO RAN Press, Novosibirsk, Russia. 2012. P. 160-161.

Sergeev Ya.D. The Infinity Computer and numerical computations with infinite and infinitesimal numbers // Proceedings of the 15th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetics and Verified Numerics SCAN2012, Novosibirsk (Russia). ICT SO RAN Press, Novosibirsk, Russia. 2012. P. 162-163.

Sergeev Ya.D. The Infinity Computer and numerical computations with infinite and infinitesimal numbers (Keynote Lecture) // Proceedings of the 4th International Joint Conference on Computational Intelligence IJCCI2012, Barcelona (Spain), 5-7 October, 2012. Ed. by Rosa A. et al., SciTePress: Portugal. 2012. P. IS5-IS8.

Публикации в научных журналах

De Leone R., Sergeev Ya.D., Zhigljavsky A.A. Foreword (special issue dedicated to the international workshop "Infinite and Infinitesimal in Mathematics, Computing and Natural Sciences", Cetraro, Italy, May 17–21, 2010) (Предисловие к специальному выпуску журнала “Infinity 2010” ) // Applied Mathematics and Computation (Прикладная математика и вычисления). № 16. V. 218. 2012. P. 7977-7978.

Иудин Д.И., Сергеев Я.Д., Hayakawa M. Interpretation of percolation in terms of infinity computations (Интерпретация перколяции в терминах вычислений с бесконечностью) // Applied Mathematics and Computation (Прикладная математика и вычисления). № 6. Т. 218. 2012. С. 8099-8111.

Квасов Д.Е., Сергеев Я.Д. Univariate geometric Lipschitz global optimization algorithms (Одномерные геометрические алгоритмы Липшицевой глобальной оптимизации) // Numerical Algebra, Control and Optimization (Численные методы алгебры, теории управления и оптимизации). № 1. Т. 2. 2012. С. 69-90.

Kvasov D.E., Sergeev Ya.D. Lipschitz gradients for global optimization in a one-point-based partitioning scheme (Липшицевы градиенты в глобальной оптимизации с одноточечной схемой разбиения) // Journal of Computational and Applied Mathematics (Журнал вычислительной и прикладной математики). № 16. V. 236. 2012. P. 4042-4054.

2011

Сборники статей

Kvasov D.E., Sergeev Ya.D. Lipschitz Global Optimization // Wiley Encyclopedia of Operations Research and Management Science. New York: Wiley, Volume 4, ISBN: 9780470400630. 2011. P. 2812-2828.

Труды (тезисы) конференции

Kvasov D.E., Sergeev Ya.D. Fast algorithms for solving practical black-box global optimization problems // Proceedings of the 42nd Annual Conference of the Italian Operational Research Society (AIRO2011). Brescia University Press. 2011. P. 109-110.

Kvasov D.E., Sergeev Ya.D. Global optimization methods based on efficient partitioning strategies // Proceedings of the II International Conference on Optimization and Applications OPTIMA-2011. Computing Centre RAS, ISBN: 9785916010510. 2011. P. 193-194.

Sergeev Ya.D. Numeral systems, their accuracy and numerical computations with finite, infinite and infinitesimal quantities // In Proc. of the 4th International Conference "Mathematics, its applications and mathematical education", Ulan-Ude, Russia. East-Siberian State University Press: Ulan-Ude, 2011, Vol. 1. 2011. P. 284-288.

Sergeev Ya.D. Diagonal global optimization methods // In Proc. of the 15th Baikal International School-Seminar on "Optimization methods and their applications", Irkutsk, Russia. IDSTU Press:Irkutsk, 2011, Vol. 1. 2011. P. 73-78.

Kvasov D.E., Sergeev Ya.D. Finding the minimal root of an equation with the multiextremal left part // In Proc. of the 15th Baikal International School-Seminar on "Optimization methods and their applications", Irkutsk, Russia. IDSTU Press: Irkutsk, 2011, Vol. 2. 2011. P. 106-110.

Публикации в научных журналах

Sergeev Ya.D. On accuracy of mathematical languages used to deal with the Riemann zeta function and the Dirichlet eta function // P-Adic Numbers, Ultrametric Analysis and Applications. № 3. V. 2. 2011. P. 129-148.

Sergeev Ya.D. Higher order numerical differentiation on the Infinity Computer // Optimization Letters. № 5. V. 4. 2011. P. 575-585.

Sergeev Ya.D. Using blinking fractals for mathematical modelling of processes of growth in biological systems // Informatica. № 22. V. 4. 2011. P. 559-576.

©  Нижегородский государственный университет им. Н.И. Лобачевского