**1. Books**

- Sergeyev Ya.D., Kvasov D.E. (2017) Deterministic global optimization: An introduction to the diagonal approach, Springer, NY.
- Sergeyev Ya.D., Strongin R.G., Lera D. (2013) Introduction to global optimization exploiting space-filling curves, Springer, NY.
- Sergeyev Ya.D., Kvasov D.E. (2008) Diagonal global optimization methods, Fizmatlit, Moscow, (in Russian).
^{MAIK "Nauka/Interperiodica" Prize for the best scientific monograph published in 2008.} - Sergeyev Ya.D. (2003) Arithmetic of infinity, Edizioni Orizzonti Meridionali, CS.
- Strongin R.G., Sergeyev Ya.D. (2000, 2
^{nd}ed. 2013, 3^{rd}ed. 2014) Global optimization with non-convex constraints: Sequential and parallel algorithms, Kluwer Academic Publishers, Dordrecht, 728 pp. - Sergeyev Ya.D., Strongin R.G., Grishagin V.A. (1998) Introduction to parallel global optimization,
*Nizhni Novgorod University Press*, Nizhni Novgorod, (in Russian). - Brugnano L., Kvasov D.E., Sergeyev Ya.D. (2021) Preface to the virtual special issue "Recent developments in applied mathematics and computation",
*Applied Mathematics and Computation*, 40, art.no. 1260232021. - Le Thi H.A., Dinh T.P., Sergeyev Ya.D. (2021) Preface to the special issue dedicated to the 6th World Congress on Global Optimization held in Metz, France, July 8-10, 2019,
*Optimization Letters*, 15, 2347-2349. - Brugnano L., Sergeyev Ya.D., Zhigljavsky A. (2021) Foreword to the virtual special issue dedicated to the 3rd International Conference NUMTA 2019 "Numerical Computations: Theory and Algorithms",
*Journal of Computational and Applied Mathematics*, 393, art.no. 113545. - Deutz A., Emmerich M., Sergeyev Ya.D., Yevseyeva I. (2021) Preface to the special issue dedicated to the 14th international workshop on global optimization held in Leiden, The Netherlands, September 18-21, 2018,
*Journal of Global Optimization*, 79, 279-280. - Singh V.K., Sergeyev Ya.D., Fischer A. (2021) Preface, Recent Trends in Mathematical Modeling and High Performance Computing, Springer, v-vi.
- De Leone R., Sergeyev Ya.D., Toraldo G. (2020) Preface to the special issue dedicated to the 3rd international conference "Numerical Computations: Theory and Algorithms—NUMTA 2019" June 15-21, 2019, Isola Capo Rizzuto, Italy,
*Soft Computing*, 24, 17495-17496. - Sergeyev Ya.D., Kvasov D.E. (2020) Editors' Preface, "Numerical Computations: Theory and Algorithms" Third International Conference, NUMTA 2019, Crotone, Italy, June 15-21, 2019, Revised Selected Papers, Part I, Lecture Notes in Computer Science, vol. 11973, pages v-vii.
- Sergeyev Ya.D., Kvasov D.E. (2020) Editors' Preface, "Numerical Computations: Theory and Algorithms" Third International Conference, NUMTA 2019, Crotone, Italy, June 15-21, 2019, Revised Selected Papers, Part II, Lecture Notes in Computer Science, vol. 11974, pages v-vii.
- Emmerich M.T.M., Deutz A., Hille S., Sergeyev Ya.D. (2019) Preface: LeGO 2018 - 14th International Global Optimization Workshop, AIP Conference Proceedings 2070, 010001.
- De Leone R., Sergeyev Ya.D., Zhigljavsky A. (2018) Guest editors’ preface to the special issue devoted to the 2nd International Conference "Numerical Computations: Theory and Algorithms - NUMTA 2016", June 19-25, 2016, Pizzo Calabro, Italy,
*Journal of Global Optimization*, 71(1), 1-4. - Brugnano L., Kvasov D.E., Sergeyev Ya.D. (2018) Foreword to the special issue "Recent Trends in Numerical Computations: Theory and Algorithms",
*Applied Mathematics and Computation*, 318, 1-2. - Battiti R., Kvasov D.E., Sergeyev Ya.D. (2017) Preface, Learning and Intelligent Optimization, Proceedings of the 11th International Conference LION 11, Nizhny Novgorod, Russia, June 19-21, 2017, Revised Selected Papers, LNCS, vol. 10556, V-VI.
- Sergeyev Ya.D., Kvasov D.E., Dell’Accio F., Mukhametzhanov M.S. (2016) Preface: The 2nd International Conference "Numerical Computations: Theory and Algorithms" NUMTA-2016, AIP Conf. Proc. 1776, 010001.
- Sergeyev Ya.D. (2016) Preface to the special issue "
*Recent developments in non-linear and global optimization*",*Optimization Letters*, 10(2), 215-218. - Sergeyev Ya.D. (2016) Preface, Book of Abstracts of the 2
^{nd}International Conference "Numerical Computations: Theory and Algorithms", eds. Ya.D. Sergeyev, D.E. Kvasov, F. Dell’Accio, M.S. Mukhametzhanov, Unical, Cosenza, pp. 12-13. - Sergeyev Ya.D., Mukhametzhanov M.S. (2016) Preface of the "Symposium on Global Optimization and Numerical Analysis", AIP Conference Proceedings 1738, 400001 (2016); doi: 10.1063/1.4952189.
- De Leone R., Kvasov D.E., Sergeyev Ya.D. (2015) 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*, 255, 1-2. - Brugnano L., Sergeyev Ya.D., Zhigljavsky A.A. (2015) Preface to the special issue NUMTA 2013,
*Communications in Nonlinear Science and Numerical Simulation*, 21(1), 1-2. - Sergeyev Ya.D. (2013) Foreword,
- De Leone R., Sergeyev Ya.D., Zhigljavsky A.A. (2012) Foreword (special issue dedicated to the international workshop "Infinite and Infinitesimal in Mathematics, Computing and Natural Sciences", Cetraro, Italy, May 17-21, 2010),
*Applied Mathematics and Computation*, 218(16), 7977-7978. - Sergeyev Ya.D. (2012) Foreword of the scientific editor of the Russian translation of the book
*G. Lolli, Filosofia della matematica:**L’eredità del Novecento*, Series "Scientific Classics", University of Nizhni Novgorod Press, Nizhni Novgorod.^{ The winner in the annual national competition "University Book" in Russia in the nomination "The best translation".} - Pardalos P.M., Sergeyev Ya.D. (2010) Foreword (special issue celebrating the 70th birthday of Roman G. Strongin),
*Journal of Global Optimization*, 48(1), 1-2. - Fletcher R., Ruggiero V., Sergeyev Ya.D., Strongin R.G. (2005) Foreword (special issue dedicated to the INdAM scientific meeting "Numerical Methods for Local and Global Optimization: Sequential and Parallel Algorithms", Cortona, Italy, July 14-20, 2003),
*Optimization Methods and Software*, 20(4), 415-416. - Sergeyev Ya.D., Strongin R.G. (1990) A global minimization algorithm with parallel iterations.
*Comput. Maths. Math. Phys.*, 29(2), 7-15. - Strongin R.G., Sergeyev Ya.D. (1992) Global multidimensional optimization on parallel computer.
*Parallel Computing*, 18, 1259-1273. - Gergel V.P., Sergeyev Ya.D., Strongin R.G. (1992) A parallel global optimization method and its implementation on a transputer system.
*Optimization*, 26, 261-275. - Sergeyev Ya.D., Grishagin V.A. (1994) A parallel algorithm for finding the global minimum of univariate functions.
*Journal of Optimization Theory and Applications*, 80(3), 513-536 . - Sergeyev Ya.D., Grishagin V.A., (1994) Sequential and parallel global optimization algorithms, Optimization Methods and Software, 3, 111-124.
- Cannataro M., Sergeyev Ya.D., Spezzano G., Talia D. (1994) PNS: A dynamic mapping strategy for massively parallel computers, Computers & Artificial Intelligence, 13(5), 477-494.
- Sergeyev Ya.D. (1995) An information global optimization algorithm with local tuning,
*SIAM Journal on Optimization*, 5(4), 858-870. - Sergeyev Ya.D. (1995) A one-dimensional deterministic global minimization algorithm,
*Comput. Maths. Math. Phys.*, 35(5), 705-717. - Daponte P., Grimaldi D., Molinaro A., Sergeyev Ya.D. (1995) An algorithm for finding the zero crossing of time signals with Lipschitzean derivatives,
*Measurement*, 16(1), 37-49. - Sergeyev Ya.D., Markin D.L. (1995) An algorithm for solving global optimization problems with nonlinear constraints,
*Journal of Global Optimization*, 4(4), 407-419. - Daponte P., Grimaldi D., Molinaro A., Sergeyev Ya.D. (1996) Fast detection of the first zero-crossing in a measurement signal set,
*Measurement*, 19(1), 29-39. - Grishagin V.A., Sergeyev Ya.D., Strongin R.G. (1997) Parallel characteristical global optimization algorithms,
*Journal of Global Optimization*, 10, 185-206. - Sergeyev Ya.D. (1998) Global one-dimensional optimization using smooth auxiliary functions,
*Mathematical Programming*, 81(1), 127-146. - Celani M., Cerulli R., Gaudioso M., Sergeyev Ya.D. (1998) A multiplier adjustment technique for capacitated concentrator location problem,
*Optimization Methods & Software*, 10(1), 87-102. - Sergeyev Ya.D. (1998) On convergence of "Divide the Best" global optimization algorithms,
*Optimization*, 44(3), 303-325. - Sergeyev Ya.D., Daponte P., Grimaldi D., Molinaro A. (1999) Two methods for solving optimization problems arising in electronic measurements and electrical engineering,
*SIAM Journal on Optimization*, 10(1), 1-21. - Gergel V.P., Sergeyev Ya.D. (1999) Sequential and parallel global optimization algorithms using derivatives,
*Computers & Mathematics with Applications*, 37(4/5), 163-180. - Famularo D., Pugliese P., Sergeyev Ya.D. (1999) A global optimization technique for checking parametric robustness,
*Automatica*, 35, 1605-1611. - Sergeyev Ya.D. (1999) Parallel information algorithm with local tuning for solving multidimensional GO problems,
*Journal of Global Optimization*, 15(2), 157-167. - Sergeyev Ya.D. (1999) Multidimensional global optimization using the first derivatives,
*Comput. Maths. Math. Phys.*, 39(5), 743-752. - Casado L.G., García I., Sergeyev Ya.D. (2000) Interval Branch and Bound global optimization for finding the first zero-crossing in one-dimensional functions,
*Reliable Computing*, 6(2), 179-191. - Sergeyev Ya.D. (2000) An efficient strategy for adaptive partition of N-dimensional intervals in the framework of diagonal algorithms,
*Journal of Optimization Theory and Applications*, 107(1), 145-168. - Molinaro A., Pizzuti C., Sergeyev Ya.D. (2001) Acceleration tools for diagonal information global optimization algorithms,
*Computational Optimization and Applications*, 18(1), 5-26. - Grishagin V.A., Sergeyev Ya.D., Silipo D. (2001) Firms' R&D decisions under incomplete information,
*European Journal of Operational Research*, 129(2), 414-433. - Molinaro A., Sergeyev Ya.D. (2001) An efficient algorithm for the zero-crossing detection in digitized measurement signal,
*Measurement*, 30(3), 187-196. - Sergeyev Ya.D., Grishagin V.A. (2001) Parallel asynchronous global search and the nested optimization scheme,
*Journal of Computational Analysis & Applications*, 3(2), 123-145. - Sergeyev Ya.D., Famularo D., Pugliese P. (2001) Index Branch-and-Bound Algorithm for Lipschitz univariate global optimization with multiextremal constraints,
*Journal of Global Optimization*, 21(3), 317-341. - Molinaro A., Sergeyev Ya.D. (2001) Finding the minimal root of an equation with the multiextremal and non-differentiable left-hand part,
*Numerical Algorithms*, 28, 255-272. - Lera D., Sergeyev Ya.D. (2002) Global minimization algorithms for Hölder functions,
*BIT Numerical Mathematics*, 42(1), 119-133. - Casado L.G., García I., Sergeyev Ya.D. (2002) Interval algorithms for finding the minimal root in a set of multiextremal non-differentiable one-dimensional functions,
*SIAM Journal on Scientific Computing*, 24(2), 359-376. - Casado L.G., García I., Martínez J.A., Sergeyev Ya.D. (2003) New interval analysis support functions using gradient information in a global minimization algorithm,
*Journal of Global Optimization*, 25(4), 345-362. - Kvasov D.E., Pizzuti C., Sergeyev Ya.D. (2003) Local tuning and partition strategies for diagonal GO methods,
*Numerische Mathematik*, 94(1), 93-106. - Kvasov D.E., Sergeyev Ya.D. (2003) Multidimensional global optimization algorithm based on adaptive diagonal curves,
*Comput. Maths. Math. Phys.*, 43(1), 40-56. - Strongin R.G., Sergeyev Ya.D. (2003) Global optimization: fractal approach and non-redundant parallelism,
*Journal of Global Optimization*, 27(1), 25-50. - Sergeyev Ya.D., Pugliese P., Famularo D. (2003) Index information algorithm with local tuning for solving multidimensional global optimization problems with multiextremal constraints,
*Mathematical Programming*, 96(3), 489-512. - Gaviano M., Kvasov D.E., Lera D., Sergeyev Ya.D. (2003) Algorithm 829: Software for generation of classes of test functions with known local and global minima for global optimization,
*ACM Transactions on Mathematical Software*, 29(4), 469-480. - Martínez J.A., Casado L.G., García I., Sergeyev Ya.D., Toth B. (2004) On an efficient use of gradient information for accelerating interval global optimization algorithms,
*Numerical Algorithms*, 37, 61-69. - Famularo D., Pugliese P., Sergeyev Ya.D. (2004) A global optimization technique for fixed-order control design,
*International Journal of Systems Science*, 35(7), 425-434. - Sergeyev Ya.D. (2004) Generation of symmetric exponential sums,
*Journal of Number Theory*, 108(1), 60-75. - Sergeyev Ya.D. (2005) Efficient partition of N-dimensional intervals in the framework of one-point-based algorithms,
*Journal of Optimization Theory and Applications,*124(2), 503-510. - Carotenuto L., Pugliese P., Sergeyev Ya.D. (2006) Maximizing performance and robustness of PI and PID controllers by global optimization,
*International Journal of Control and Intelligent Systems*, 34(3), 225-235. - Sergeyev Ya.D. (2006) Univariate global optimization with multiextremal non-differentiable constraints without penalty functions,
*Computational Optimization and Applications*, 34(2), 229-248. - Sergeyev Ya.D., Kvasov D.E. (2006) Global search based on efficient diagonal partitions and a set of Lipschitz constants,
*SIAM Journal on Optimization*, 16(3), 910-937. - Sergeyev, Ya.D. (2006) Mathematical foundations of the Infinity Computer,
*Annales UMCS Informatica AI,*4, 20-33. - Sergeyev Ya.D., Kvasov D.E., Khalaf F.M.H. (2007) A one-dimensional local tuning algorithm for solving GO problems with partially defined constraints,
*Optimization Letters*, 1(1), 85-99. - Sergeyev Ya.D. (2007) Blinking fractals and their quantitative analysis using infinite and infinitesimal numbers,
*Chaos, Solitons & Fractals*, 33(1), 50-75. - Sergeyev Ya.D. (2008) Measuring fractals by infinite and infinitesimal numbers,
*Mathematical Methods, Physical Methods & Simulation Science and Technology*, 1(1), 217-237. - Sergeyev Ya.D. (2008) A new applied approach for executing computations with infinite and infinitesimal quantities,
*Informatica*, 19(4), 567-596. - Kvasov D.E., Menniti D.,Pinnarelli A., Sergeyev Ya.D., Sorrentino N. (2008) Tuning fuzzy power-system stabilizers in multi-machine systems by global optimization algorithms based on efficient domain partitions,
*Electric Power Systems Research*, 78(7), 1217-1229. - Sergeyev Ya.D. (2009) Numerical computations and mathematical modelling with infinite and infinitesimal numbers,
*Journal of Applied Mathematics and Computing*, 29, 177-195. - Kvasov D.E., Sergeyev Ya.D. (2009) A univariate global search working with a set of Lipschitz constants for the first derivative,
*Optimization Letters*, 3(2), 303-318. - Sergeyev Ya.D. (2009) Numerical point of view on Calculus for functions assuming finite, infinite, and infinitesimal values over finite, infinite, and infinitesimal domains,
*Nonlinear Analysis Series A: Theory, Methods & Applications*, 71(12), e1688-e1707. - Sergeyev Ya.D. (2009) Evaluating the exact infinitesimal values of area of Sierpinski's carpet and volume of Menger's sponge,
*Chaos, Solitons & Fractals*, 42, 3042-3046. - Sergeyev Ya.D. (2010) Counting systems and the First Hilbert problem,
*Nonlinear Analysis Series A: Theory, Methods & Applications*, 72(3-4), 1701-1708. - Lera D., Sergeyev Ya.D. (2010) Lipschitz and Hölder global optimization using space-filling curves,
*Applied Numerical Mathematics*, 60(1-2), 115-129. - Sergeyev Ya.D., Garro A. (2010) Observability of Turing Machines: a refinement of the theory of computation,
*Informatica*, 21(3), 425-454. - Sergeyev Ya.D. (2010) Lagrange Lecture: Methodology of numerical computations with infinities and infinitesimals,
*Rendiconti del Seminario Matematico dell'Università e del Politecnico di Torino*, 68(2), 95-113. - Lera D., Sergeyev Ya.D. (2010) An information global minimization algorithm using the local improvement technique,
*Journal of Global Optimization*, 48(1), 99-112. - Sergeyev Ya.D. (2011) 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(2), 129-148. - Sergeyev Ya.D. (2011) Higher order numerical differentiation on the Infinity Computer,
*Optimization Letters*, 5(4), 575-585. - Sergeyev Ya.D. (2011) Using blinking fractals for mathematical modelling of processes of growth in biological systems,
*Informatica*, 22(4), 559-576. - Kvasov D.E., Sergeyev Ya.D. (2012) Univariate geometric Lipschitz global optimization algorithms,
*Numerical Algebra, Control and Optimization*, 2(1), 69-90. - Kvasov D.E., Sergeyev Ya.D. (2012) Lipschitz gradients for global optimization in a one-point-based partitioning scheme,
*Journal of Computational and Applied Mathematics*, 236(16), 4042-4054. - Iudin D.I., Sergeyev Ya.D. Hayakawa M. (2012) Interpretation of percolation in terms of infinity computations,
*Applied Mathematics and Computation*, 218(16), 8099-8111. - Lera D., Sergeyev Ya.D. (2013) Acceleration of univariate global optimization algorithms working with Lipschitz functions and Lipschitz first derivatives,
*SIAM Journal on Optimization*, 23(1), 508-529. - Sergeyev Ya.D. (2013) Solving ordinary differential equations by working with infinitesimals numerically on the Infinity Computer,
*Applied Mathematics and Computation*, 219(22), 10668-10681. - Sergeyev Ya.D., Garro A. (2013) Single-tape and multi-tape Turing machines through the lens of the Grossone methodology,
*Journal of Supercomputing*, 65(2), 645-663. - Kvasov D.E., Sergeyev Ya.D. (2013) Lipschitz global optimization methods in control problems,
*Automation and Remote Control*, 74(9), 1435-1448; Original Russian text published in*Avtomatika i Telemekhanika*, 2013, 9, 3-19. - Paulavičius R., Sergeyev Ya.D., Kvasov D.E., Žilinskas J. (2014) Globally-biased DISIMPL algorithm for expensive global optimization,
*Journal of Global Optimization*, 59(2-3), 545-567.^{ Award: The Best Paper published in Journal of Global Optimization in 2014.} - Gaudioso M., Malozemov V.N., Sergeyev Ya.D. (2014) Vladimir Fedorovich Demyanov (18.08.1938-18.04.2014).
*Journal of Global Optimization*, 60(3), 391-392. - Iudin D.I., Sergeyev Ya.D. Hayakawa M. (2015) Infinity computations in cellular automaton forest-fire model,
*Communications in Nonlinear Science and Numerical Simulation*, 20(3), 861-870. - Sergeyev Ya.D. (2015) The Olympic medals ranks, lexicographic ordering and numerical infinities,
*The Mathematical Intelligencer*, 37(2), 4-8. - Sergeyev Ya.D. (2015) Letter to the Editor,
*The Mathematical Intelligencer*, 37(4), 2-3. - Lera D., Sergeyev Ya.D. (2015) Deterministic global optimization using space-filling curves and multiple estimates of Lipschitz and Hölder constants,
*Communications in Nonlinear Science and Numerical Simulation*, 23, 328-342. - Kvasov D.E., Sergeyev Ya.D. (2015) Deterministic approaches for solving practical black-box global optimization problems,
*Advances in Engineering Software*, 80, 58-66. - Sergeyev Ya.D., Kvasov D.E. (2015) A deterministic global optimization using smooth diagonal auxiliary functions,
*Communications in Nonlinear Science and Numerical Simulation*, 21, 99-111. - Sergeyev Ya.D. (2015) Un semplice modo per trattare le grandezze infinite ed infinitesime, La Matematica nella Società e nella Cultura: Rivista dell’Unione Matematica Italiana, Serie I, Vol.8, 111-147.
- Sergeyev Ya.D. (2016) The exact (up to infinitesimals) infinite perimeter of the Koch snowflake and its finite area,
*Communications in Nonlinear Science and Numerical Simulation*, 31(1-3):21-29. - Sergeyev Ya.D., Mukhametzhanov M.S., Mazzia F., Iavernaro F., Amodio P. (2016) Numerical methods for solving initial value problems on the Infinity Computer,
*International Journal of Unconventional Computing*, 12(1), 3-23. - Sergeyev Ya.D., Mukhametzhanov M.S., Kvasov D.E., Lera D. (2016) Derivative-free local tuning and local improvement techniques embedded in the univariate global optimization,
*Journal of Optimization Theory and Applications*, 171(1), 186-208. - Sergeyev Ya.D. (2016) The difficulty of prime factorization is a consequence of the positional numeral system,
*International Journal of Unconventional Computing*, Vol. 12 (5-6), 453-463. - Sergeyev Ya.D., Mukhametzhanov M.S., Kvasov D.E. (2017) Operational zones for comparing metaheuristic and deterministic one-dimensional global optimization algorithms,
*Mathematics and Computers in Simulation*, 141, 96-109. - Amodio, P., Iavernaro, F., Mazzia, F., Mukhametzhanov, M.S., Sergeyev, Ya.D. (2017) 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*, 141, 24-39. - Sergeyev Ya.D. (2017) Numerical infinities and infinitesimals: Methodology, applications, and repercussions on two Hilbert problems,
*EMS Surveys in Mathematical Sciences*, 4(2), 219-320. - Adamatzky A., Akl S., Burgin M., Calude C.S., Costa J.F., Dehshibi M.M., Gunji Y.-P., Konkoli Z., MacLennan B., Marchal B., Margenstern M., Martínez G.J., Mayne R., Morita K., Schumann A., Sergeyev Ya.D., Sirakoulis G.C., Stepney S., Svozil K., Zenil H. (2017) East-West paths to unconventional computing,
*Progress in Biophysics and Molecular Biology*, 131, 469-493. - Cococcioni M., Pappalardo M., Sergeyev Ya.D. (2018) Lexicographic multiobjective linear programming using grossone methodology: Theory and algorithm,
*Applied Mathematics and Computation*, 318, 298-311. - Grishagin V.A., Israfilov R., Sergeyev Ya.D. (2018) Convergence conditions and numerical comparison of global optimization methods based on dimensionality reduction schemes,
*Applied Mathematics and Computation*, 318, 270-280. - Sergeyev Ya.D. (2018) Book review: Non-convex multi-objective optimization, by Panos M. Pardalos, Antanas Žilinskas, Julius Žilinskas, New York, Springer,
*Optimization Methods & Software*, 33(2), 416-417. - Sergeyev Ya.D., Mukhametzhanov M.S., Kvasov D.E. (2018) On the efficiency of nature-inspired metaheuristics in expensive global optimization with limited budget,
*Scientific Reports*, 8, 453. - Sergeyev Ya.D., Kvasov D.E., Mukhametzhanov M.S. (2018) On strong homogeneity of a class of global optimization algorithms working with infinite and infinitesimal scales,
*Communications in Nonlinear Science and Numerical Simulation*, 59, 319-330. - De Leone R., Fasano G., Sergeyev Ya.D. (2018) Planar methods and grossone for the Conjugate Gradient breakdown in nonlinear programming,
*Computational Optimization and Applications*, 71(1), 73-93. - Lera D., Sergeyev Ya.D. (2018) GOSH: derivative-free global optimization using multi-dimensional space-filling curves,
*Journal of Global Optimization*, 71(1), 193-211. - Sergeyev Ya.D. (2019) 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*, 24(1), 153-170. - Paulavičius R., Sergeyev Ya.D., Kvasov D.E., Žilinskas J. (2020) Globally-biased BIRECT algorithm with local accelerators for expensive global optimization,
*Expert Systems with Applications*, 144, 113052. - Cococcioni M., Cudazzo A., Sergeyev Ya.D., Pappalardo M. (2020) Solving the Lexicographic Multi-Objective Mixed-Integer Linear Programming Problem using branch-and-bound and grossone methodology,
*Communications in Nonlinear Science and Numerical Simulation*, 84, 105177. - Iavernaro F., Mazzia F., Mukhametzhanov M.S., Sergeyev Ya.D. (2020) Conjugate-symplecticity properties of Euler-Maclaurin methods and their implementation on the Infinity Computer, Applied Numerical Mathematics, 155, 58-72.
- De Leone R., Fasano G., Roma M., Sergeyev Ya.D. (2020) Iterative grossone-based computation of negative curvature directions in large-scale optimization,
*Journal of Optimization Theory and Applications*, 186(2), 554-589. - Sergeyev Ya.D., Candelieri A., Kvasov D.E., Perego R. (2020) Safe global optimization of expensive noisy black-box functions in the δ-Lipschitz framework,
*Soft Computing*, 24, 17715-17735. - Falcone A., Garro A., Mukhametzhanov M.S., Sergeyev Ya.D. (2020) Representation of grossone-based arithmetic in Simulink for scientific computing,
*Soft Computing*, 24, 17525-17539. - Sergeyev Ya.D., Nasso M.C., Mukhametzhanov M.S., Kvasov D.E (2021) Novel local tuning techniques for speeding up one-dimensional algorithms in expensive global optimization using Lipschitz derivatives,
*Journal of Computational and Applied Mathematics*, 383, article number 113134. - Iavernaro F., Mazzia F., Mukhametzhanov M.S., Sergeyev Ya.D. (2021) Computation of higher order Lie derivatives on the Infinity Computer,
*Journal of Computational and Applied Mathematics*, 383, article number 113135. - Lera D., Posypkin M., Sergeyev Ya.D., (2021) Space-filling curves for numerical approximation and visualization of solutions to systems of nonlinear inequalities with applications in robotics,
*Applied Mathematics and Computation*, 390, article number 125660. - Falcone A., Garro A., Mukhametzhanov M.S., Sergeyev Ya.D. A Simulink-based software solution using the Infinity Computer methodology for higher order differentiation,
*Applied Mathematics and Computation*, Article number 125606, in press. - Cavoretto R., De Rossi A., Mukhametzhanov M.S., Sergeyev Ya.D. (2021) On the search of the shape parameter in radial basis functions using univariate global optimization methods,
*Journal of Global Optimization*, 79 (2), 305-327. - Sergeyev Ya.D. (2021) Review on the book Anatoly Zhigljavsky, Antanas Žilinskas "Bayesian and High-Dimensional Global Optimization", SpringerBriefs in Optimization, Springer, 2021,
*Optimization Letters*, 15, 2897-2899. - Chidichimo, G., Tkachenko, Yu., Ovechkin, A., Pasmanik, L., Troitsky, A., Ylianichev, I., Golovanova, M., Sergeyev, Ya.D., Methods and equipment for the measurement of the three-dimensional distribution of the temperatures within dielectric means, United States Patent 6850862, issued 01.02.2005.
- Sergeyev, Ya.D., Computer system for storing infinite, infinitesimal, and finite quantities and executing arithmetical operations with them, EU patent 1728149, issued 03.06.2009.
- Sergeyev, Ya.D., Computer system for storing infinite, infinitesimal, and finite quantities and executing arithmetical operations with them, RF Patent 2395111, issued 20.07.2010.
- Sergeyev, Ya.D., Computer system for storing infinite, infinitesimal, and finite quantities and executing arithmetical operations with them, USA patent 7,860,914, issued 28.12.2010.
- Strongin R.G., Sergeyev Ya.D. (1988) Effective algorithm for global optimization with parallel computations. Lecture Notes in Economics and Math. Systems. vol.304. Springer-Verlag. Berlin Heidelberg,158-162.
- Sergeyev Ya.D. (1988) On parallelizing a global optimization algorithm. In
*Optimization & Modelling,*ed. A.V.Sergiyevski, Gorky, Gorky State University, 45-52. - Gergel V.P., Sergeyev Ya.D. (1988) The DIALOGUE system. In
*Control, Optimization & Modelling,*ed. A.V.Sergiyevski, Gorky, Gorky State University, 46-61. - Cannataro M., Sergeyev Ya.D., Spezzano G., Talia D. (1993) A dynamic load balancing strategy for massively parallel computers. In Proc. of the 5-th PARLE Conference, Springer-Verlag, Berlin Heidelberg, 664-667.
- Sergeyev Ya.D. (1994) An algorithm for finding the global minimum of multiextremal Lipschitz functions. In
*Operations Research'93*, eds. A. Bachem, U. Derigs, M. Junger, R. Schrader, Physica-Verlag, Heidelberg, 463-465. - Daponte P., Grimaldi D., Molinaro A., Sergeyev Ya.D. (1995) An algorithm for a reliable search of switching times. In Proc. of the International workshop on advnced math. methods in electrical and electronic measurements, Progetto Leonardo, Bologna, 229-240.
- Eisinberg A., Mainieri R., Sergeyev Ya.D., Pugliese P. (1997) Estimating the parameters of Verhulst equation, in Proc. of the 15-th IMACS Triennal World Congress on Scientific Computation, Modelling & Applied Math., ed. by A. Sydow, Wissenschaft & Technik Verlag, 737-742.
- Barkalov A.V., Grishagin V.A., Sergeyev Ya.D., Silipo D. (1997) Game simulation in economic processes,
*Public Economics as a Complex System,*Chapter 7, ed. by Yu.V. Trifonov, N. Novgorod, N. Novgorod State University Press, 239-263. - Grishagin V.A., Sergeyev Ya.D., Silipo D. (1997) Patent race and Nash equilibrium, in Proc. of the International Conference on Regional Aspects of Public Economics, N. Novgorod, NIER Press, 159-161.
- Sergeyev Ya.D. (1997) A method using local tuning for minimizing functions with Lipschitz derivatives,
*Developments in Global Optimization*, eds. E. Bomze, T. Csendes, R. Horst and P.M. Pardalos, Kluwer Academic Publishers, 199-215. - Eisinberg A., Famularo D., Pugliese P., Sergeyev Ya.D. (1998) Global Optimization Techniques for Checking Parametric Robustness,
*Mathematical Theory of Networks and Systems*, Proc. of the MTNS `98 Congress, eds. A. Beghi, L. Finesso, G. Picci, Il Poligrafo, Padova, 137-140. - Casado L. G., García I., Ya. D. Sergeyev. (1998) A Fast Algorithm for Finding the First Zero-Crossing in a Set of Signals based on Interval Arithmetic. Volume of extended Abstracts of IMACS/GAMM International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics (SCAN'98), Budapest, pp. 48-51.
- Famularo D., Pugliese P., Sergeyev Ya.D. (1999) Control System Design via Global Optimization Techniques,
*Progress in System and Robot Analysis and Control Design*, eds. S.G. Tzafestas and G. Schmidt, Springer-Verlag, 107-116. - Famularo D., Pugliese P., Sergeyev Ya.D. (1999) A Global Optimization Technique for Fixed-Order Control Design, Proc. of the 1999 American Control Conf., AACC, San Diego, 2300-2304.
- Sergeyev Ya.D., Kvasov D.E. (2001) Adaptive diagonal curves and their implementation,
*Bulletin of the Nizhni Novgorod State University: Mathematical modelling and optimal control*, Vol.2(24), 300-317. - Famularo D., Sergeyev Ya.D., Pugliese P. (2002) Test Problems for Lipschitz univariate global optimization with multiextremal constraints,
*Stochastic and Global Optimization*, eds. G. Dzemyda, V. Saltenis, and A. Žilinskas, Kluwer Academic Publishers, Dordrecht, 93-110. - Sergeyev Ya.D. (2002) Parallel global optimization algorithms, Proc. of the 1
^{st}International Workshop*Parallel Computations on Clusters*, ed. R.G. Strongin, NNGU Press, N. Novgorod, 188-191. - Sergeyev Ya.D., Kvasov D.E. (2002) A new diagonal global minimization algorithm, Proc. of the 2
^{nd}International Workshop*Parallel Computations on Clusters*, ed. R.G. Strongin, NNGU Press, N. Novgorod, 265-268. - Molinaro A., Pizzuti C., Sergeyev Ya.D. (2002) A diagonal global optimization method,
*Combinatorial and Global Optimization*, eds. P.M. Pardalos, A. Migdalas, and R. Burkard, World Scientific, London, 251-263. - Grishagin V.A., Kvasov D.E., Sergeyev Ya.D. (2003) Comparison of synchronous and asynchronous recursive global optimization algorithms, Proc. of the 3
^{rd}International Workshop*Parallel Computations on Clusters*, ed. R.G. Strongin, NNGU Press, N. Novgorod, 243-246. - Grishagin V.A., Sergeyev Ya.D. (2004) Efficiency of parallelization of characteristic global optimization algorithms in the framework of the nested optimization scheme. Proc. of the 4
^{th}International Workshop*Parallel Computations on Clusters*, ed. V.A. Soyfer, RC RAN Press, Samara, 70-74. - Sergeyev Ya.D. (2005) Infinity Computer: Principles of work and applications, Proc. of the
*International Conference on Selected Problems of Modern Mathematics*, ed. S.I. Ishanov, KGU Press, Kaliningrad, 211-213. - Sergeyev Ya.D. (2005) Mathematical Foundations of the Infinity Computer (invited plenary lecture), Proc. of the XXI Autumn Meeting of Polish Information Processing Society, PIPS, 1-8.
- Grishagin V.A., Sergeyev Ya.D. (2005) A parallel method for solving multidimensional multiextremal problems with non-convex constraints, Proc. of the 5th International Workshop "Parallel Computations on Clusters", Nizhni Novgorod, November 2005 (Ed. by Strongin R.G.). NNGU Press, 74-83.
- Kvasov D.E., Sergeyev Ya.D. (2006) Global search based on efficient diagonal partitions and several techniques for obtaining the Lipschitz information, Proc. of the 3rd International Conference of Applied Mathematics TICAM, Plovdiv, Ed. by Bainov D., Nenov S., University of Plovdiv Press, Vol. 2, 164-165.
- Sergeyev Ya.D. (2006) Infinity computer and calculus (invited plenary lecture), Proc. of the 3rd International Conference of Applied Mathematics TICAM, Plovdiv, eds. Bainov D., Nenov S., University of Plovdiv Press, Vol. 2, 246-247.
- Sergeyev Ya.D. (2006) Finding the minimal root of an equation: applications and algorithms based on Lipschitz condition, (invited survey),
*Global Optimization - Scientific and Engineering Case Studies*, ed. J.D. Pintér, Springer, 441-460. - Kvasov D.E., Sergeyev Ya.D (2007) A diagonal algorithm for solving black-box multidimensional global optimization problems, In Proc. of the 22nd European Conference on Operational Research EURO XXII, Prague (Czech Republic), July 8-11, 2007. University of Economics Prague Press (Ed. by Jablonsky J.), p.155.
- Sergeyev Ya.D., Khalaf F.M.H., Kvasov D.E. (2007) Univariate algorithms for solving global optimization problems with multiextremal non-differentiable constraints,
*Models and Algorithms for Global Optimization*, eds. Aimo Torn and Julius Zilinskas, Springer, 123-140. - Sergeyev Ya.D. (2007) Infinity computer and calculus (invited plenary lecture), Proc. of the 5th International Conference of on Numerical Analysis and Applied Mathematics, eds. T.E. Simos, G. Psihoyios, Ch. Tsitouras, AIP Conf. Proceedings, Melville, New York, vol. 936, 23-26.
- Sergeyev Ya.D., Kvasov D.E. (2009) Lipschitz global optimization and estimates of the Lipschitz constant. In "Global Optimization: Theory, Methods and Applications, I", eds. Chaoqun Ma, Lean Yu, Dabin Zhang, and Zhongbao Zhou, series "Lecture Notes in Decision Sciences", Vol. 12(A), Global Link Publ.: Hong Kong, 518-521.
- Gorodetsky S.Yu., Sergeyev Ya.D. (2009) A performance estimation of a triangulation global optimization method on the basis of multiextremal functions produced by the GKLS-generator. In V.I.Volchihin and I.V.Boykov (eds.), Proc. of the IV International Conference on Analytical and Numerical Methods for Modelling Natural and Social Problems (ANMM-09). Penza, Penza State University Press, 63-66.
- Sergeyev Ya.D., Grishagin V.A., Gorodetsky S.Yu, Turlapov V.E. (2009) Mathematical decision-making models with fast numerical algorithms on high-performance computers. In S.M. Arakelyan (ed.), Proc. of the 9
^{th}International Workshop 'High-Performance Computing on Clusters', Vladimir, Vladimir State University Press, 343-347. - Sergeyev Ya.D. (2009) The Infinity Computer and numerical computations with infinite and infinitesimal numbers. In "Global Optimization: Theory, Methods and Applications, I", eds. Chaoqun Ma, Lean Yu, Dabin Zhang, and Zhongbao Zhou, series "Lecture Notes in Decision Sciences", Vol. 12(B), Global Link Publ.: Hong Kong; 1026-1031.
- Sergeyev Ya.D. (2010) A new computational methodology using infinite and infinitesimal numbers, S. Bandini et al. (Eds.), ACRI 2010, LNCS 6350, Springer-Verlag, Berlin Heidelberg, pp. 646-649.
- Sergeyev Ya.D. (2010) The Infinity Computer and numerical computations with infinite and infinitesimal numbers, H.R. Arabnia, G.A. Gravvanis (Eds.), Proc. of the 2010 International Conference on Scientific Computing, CSREA Press, pp. 6-9.
- Sergeyev Ya.D. (2011) 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, pp. 284-288.
- Sergeyev Ya.D. (2011) 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, pp. 73-78.
- Kvasov D.E., Sergeyev Ya.D. (2011) 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, pp. 106-110.
- Sergeyev Ya.D., Kvasov D.E. (2011) Lipschitz global optimization, Wiley Encyclopaedia of Operations Research and Management Science, Eds. Cochran J.J., Cox L.A., Keskinocak P., Kharoufeh J.P., Smith J.C., New York: John Wiley & Sons, Vol. 4, pp. 2812-2828.
- Sergeyev Ya.D. (2012) Deterministic global optimization using the Lipschitz condition. In 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, pp. 160-161.
- Sergeyev Ya.D. (2012) The Infinity Computer and numerical computations with infinite and infinitesimal numbers. In 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, pp. 162-163.
- Kvasov D.E., Sergeyev Ya.D. (2012) Deterministic global optimization methods for solving engineering problems. In Proceedings of the Eleventh International Conference on Computational Structures Technology (ed. by Topping B.H.V.). Civil-Comp Press, Stirlingshire, UK, paper 62.
- Sergeyev Ya.D (2012) The Infinity Computer and numerical computations with infinite and infinitesimal numbers (Keynote Lecture). In 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, pp. IS5-IS8.
- Sergeyev Ya.D., Kvasov D.E. (2012) High accuracy computations on a new type computer. In Proc. of the 12th International Conference "High-Performance Computing on Clusters" (Ed. by Gergel V.P.), Nizhny Novgorod (Russia), 26-28 November 2012. - Russia: NNGU Press, pp. 365-369.
- Francaviglia M., Fatibene L., Sergeyev Ya.D. (2013) 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, p. 70.
- Garro A., Sergeyev Ya.D. (2013) 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, p. 71.
- Iudin D., Sergeyev Ya.D., M. Hayakawa (2013) 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, p. 80.
- Iudin F., Iudin D., Sergeyev Ya.D. (2013) 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, p. 81.
- Kvasov D.E., Sergeyev Ya.D. (2013) Usage of the Lipschitz Condition in Diagonal Global Optimization, Proceedings of the International Conference Numerical Computations: Theory and Algorithms, eds. F. Dell’Accio, D.E. Kvasov, Ya.D. Sergeyev, Pellegrini Editore, Cosenza, p. 91.
- Lera D., Sergeyev Ya.D. (2013) 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, p. 93.
- Sergeyev Ya.D. (2013) 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, p. 29.
- Sergeyev Ya.D. (2013) 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, p. 122.
- Sergeyev Ya.D., V.S. Zaborovsky, L. Eisymont, V. Muliukha, D.E. Kvasov (2013) Hybrid High-Precision Supercomputer Systems, Proceedings of the International Conference "Numerical Computations: Theory and Algorithms", eds. F. Dell’Accio, D.E. Kvasov, Ya.D. Sergeyev, Pellegrini Editore, Cosenza, p. 123.
- Sergeyev Ya.D. (2013) Numerical computations with infinite and infinitesimal numbers: Theory and applications, in "Dynamics of Information Systems: Algorithmic Approaches" edited by Sorokin, A., Pardalos, P.M., Springer, New York, pp. 1-66.
- Sergeyev Ya.D., Kvasov D.E. (2013) Multiple estimates of the Lipschitz constant for a class of Lipschitz global optimization methods. In Proceedings of the VII Moscow International Conference on Operations Research ORM2013 (Moscow, Russia, October 15-19, 2013), ed. by Krasnoschekov P.S., Vasin A.A., Izmailov A.F. MAKS Press: Moscow,. Vol. 1, pp. 77-80.
- Sergeyev Ya.D. (2014) A new computational approach to infinity for modelling physical phenomena, Frontiers of Fundamental Physics and Physics Education Research, Eds. B.G. Sidharth, M. Michelini, L. Santi, Springer Proceedings in Physics, Vol. 145, pp. 353-364.
- Sergeyev Ya.D., A. Garro (2015) The Grossone methodology perspective on Turing machines, in "Automata, Universality, Computation", A. Adamatzky (ed.), Springer Series "Emergence, Complexity and Computation", Vol. 12, pp. 139-169.
- Sergeyev Ya.D. (2015) Numerical infinitesimals for solving ODEs given as a black-box, AIP Conference Proceedings, Eds T.E. Simos, C. Tsitouras, vol. 1648, 150018.
- Sergeyev Ya.D. (2015) Computations with grossone-based infinities, C.S. Calude, M.J. Dinneen (Eds.), Proc. of the 14th International Conference "Unconventional Computation and Natural Computation", Lecture Notes in Computer Science, vol. 9252, Springer, 89-106.
- Sergeyev Ya.D., Kvasov D.E. (2015) On Deterministic Diagonal Methods for Solving Global Optimization Problems with Lipschitz Gradients, Optimization, Control, and Applications in the Information Age, Eds. A. Migdalas, A. Karakitsiou, Springer Proceedings in Mathematics & Statistics, Vol. 130, 315-334.
- Sergeyev Ya.D., Kvasov D.E., Mukhametzhanov M.S. (2016) Comments upon the usage of derivatives in Lipschitz global optimization, AIP Conference Proceedings 1738, 400004 (2016); doi: 10.1063/1.4952192.
- Lera D., Sergeyev Ya.D. (2016) Space-filling curves and multiple estimates of Hölder constants in derivative-free global optimization, AIP Conference Proceedings 1738, 400008 (2016); doi: 10.1063/1.4952196.
- Sergeyev Ya.D. (2016) Numerical infinities and infinitesimals in a new supercomputing framework, AIP Conference Proceedings 1738, 020012 (2016); doi: 10.1063/1.4951756.
- Iudin D.I., Sergeyev Ya.D. (2017) Percolation transition and related phenomena in terms of grossone infinity computations, Advances in Unconventional Computing, ed. by A. Adamatzky, Vol. 22 of the series "Emergence, Complexity and Computation", pp. 239-266.
- Battiti R., Sergeyev Ya., Brunato M., Kvasov D. (2016) GENOPT 2016: Design of a generalization-based challenge in global optimization, AIP Conf. Proc. 1776, 060005 (2016); doi: 10.1063/1.4965339.
- Lera D., Sergeyev Ya.D. (2016) Remarks on global optimization using space-filling curves, AIP Conf. Proc. 1776, 060010 (2016); doi: 10.1063/1.4965344.
- Grishagin V.A., Israfilov R., Sergeyev Ya.D. (2016) Comparative efficiency of dimensionality reduction schemes in global optimization, AIP Conf. Proc. 1776, 060011 (2016); doi: 10.1063/1.4965345.
- Mazzia F., Sergeyev Ya.D., Iavernaro F., Amodio P., Mukhametzhanov M.S. (2016) Numerical methods for solving ODEs on the infinity computer, AIP Conf. Proc. 1776, 090033 (2016); doi: 10.1063/1.4965397.
- Cococcioni M., Pappalardo M., Sergeyev Ya.D. (2016) Towards lexicographic multi-objective linear programming using grossone methodology, AIP Conf. Proc. 1776, 090040 (2016); doi: 10.1063/1.4965404.
- Sergeyev Ya.D., Kvasov D.E., Mukhametzhanov M.S., De Franco A. (2016) Acceleration techniques in the univariate Lipschitz global optimization, AIP Conf. Proc. 1776, 090051 (2016); doi: 10.1063/1.4965415.
- Sergeyev Ya.D., Kvasov D.E., Mukhametzhanov M.S. (2016) On the least-squares fitting of data by sinusoids, Advances in Stochastic and Deterministic Global Optimization, Eds. Pardalos P.M., Zhigljavsky A., Žilinskas J., Vol. 107 of the series Springer Optimization and Its Applications, 209-226.
- Sergeyev Ya.D., Kvasov D.E., Mukhametzhanov M.S. (2017) Emmental-type GKLS-based multiextremal smooth test problems with non-linear constraints, Eds. Battiti R., Kvasov D.E., Sergeyev Ya.D., Learning and Intelligent Optimization, Proc. of the 11th International Conference LION 11, Nizhny Novgorod, Russia, June 19-21, 2017, Revised Selected Papers, LNCS, vol. 10556, 383-388.
- Sergeyev Ya.D. (2018) Numerical infinities applied for studying Riemann series theorem and Ramanujan summation, AIP Conference Proceedings 1978, 020004 (2018); doi: 10.1063/1.5043649
- De Leone R., Fasano G., Roma M., Sergeyev YaD., (2019) How Grossone can be helpful to iteratively compute negative curvature directions, R. Battiti et al. (Eds.): Proc. of the 12th International Conference LION 12, LNCS 11353, 180-183.
- Kvasov D.E., Mukhametzhanov M.S., Sergeyev Ya.D. (2019) Ill-conditioning provoked by scaling in univariate global optimization and its handling on the infinity computer, AIP Conference Proceedings 2070, 020011.
- Lera D., Sergeyev Ya.D. (2019) A two-phase approach in a global optimization algorithm using multiple estimates of Hölder constants, AIP Conference Proceedings 2070, 020033.
- Cococcioni M., Cudazzo A., Pappalardo M., Sergeyev Ya.D. (2020) Grossone Methodology for Lexicographic Mixed-Integer Linear Programming Problems, in 'Numerical Computations: Theory and Algorithms' Third International Conference, NUMTA 2019, Crotone, Italy, June 15-21, 2019, Revised Selected Papers, Part II, Sergeyev Ya.D., Kvasov D.E., Eds., Lecture Notes in Computer Science, vol. 11974, 337-345.
- Falcone A., Garro A., Mukhametzhanov M.S., Sergeyev Ya.D. (2020) A Simulink-Based Infinity Computer Simulator and Some Applications, in 'Numerical Computations: Theory and Algorithms' Third International Conference, NUMTA 2019, Crotone, Italy, June 15-21, 2019, Revised Selected Papers, Part II Sergeyev Ya.D., Kvasov D.E., Eds., Lecture Notes in Computer Science, vol. 11974, 362-369.
- Kvasov D.E., Mukhametzhanov M.S., Nasso M.C., Sergeyev Ya.D. (2020) On Acceleration of Derivative-Free Univariate Lipschitz Global Optimization Methods, in 'Numerical Computations: Theory and Algorithms' Third International Conference, NUMTA 2019, Crotone, Italy, June 15-21, 2019, Revised Selected Papers, Part II, Sergeyev Ya.D., Kvasov D.E., Eds., Lecture Notes in Computer Science, vol. 11974, 413-421.
- Mukhametzhanov M. S., Sergeyev Ya. D. (2020) The infinity computer vs. symbolic computations: First steps in comparison, AIP Conference Proceedings, Vol. 2293, 420045.
- Strongin R.G., Sergeyev Ya.D. (1986) On parallelization of computations in a global search algorithm. In Proc. of the 4-th Conference of Young Scientists of Applied Mathematics & Cybernetics Research Institute of Gorky State University. Gorky. Deposited with VINITI. 10.06.86 N°4227-B86,154-165.
- Strongin R.G., Sergeyev Ya.D. (1986) Global optimization with parallel computations. In Proc. of the Nation-wide Seminar "Use of Computers in Ecology, Economics & Mathematics". Gorky. Gorky State University, 87-88.
- Gergel V.P., Sergeyev Ya.D. (1987) Software for organization a man-made dialogue. In Proc. of the 4-th Nation-wide Conference "Design & Automation". Volgograd. VolgPI. Volume 2, 108-110.
- Sergeyev Ya.D. (1987) On a parallel optimization algorithm. In Proc.of the 7-th Reg. Conference of Young Scientists. Gorky, GPI. P.58.
- Grishagin V.A., Sergeyev Ya.D. (1988) Parallel characteristical algorithms of optimization. In Proc. of the 8-th Nation-wide Conference "Problems of the Theoretical Cybernetics". Volume 1. 99-100.
- Sergeyev Ya.D. (1988) A parallelization of computations in global optimization of multiextremal functions.In Proc.of the 8-th Nation-wide Conference "Problems of the Theoretical Cybernetics". Volume 2. P.107.
- Strongin R.G., Sergeyev Ya.D. (1988) Application of parallel processors in global optimization.In Proc. of the 2-d Nation-wide Conference "Pipeline Systems". Kiev. KPI, 106-108.
- Sergeyev Ya.D. (1988) Parallel multiextremal optimization.In Proc. of the Nation-wide Conference "The Use of Computers in Ecology, Economics & Mathematics".Saratov. Saratov State University,74-75.
- Sergeyev Ya.D. (1988) Use of parallel computations in global optimization.In Proc.of the 8-th Reg. Conference of Young Scientists. Gorky .GIIVT, 208-209.
- Strongin R.G., Sergeyev Ya.D. (1989) On a parallelization of computations in global optimization.In Proc.of the 7-th Conference "Methods of the Mathematical Programming & Software". Sverdlovsk. Ural Branch of the Academy of Sciences USSR. P.198.
- Strongin R.G., Gergel V.P., Sergeyev Ya.D. (1989) Distributed processes of decision making. In Proc.of the Nation-wide Conference Perspectives of the Development of Local Networks". Moscow-Ivanteevka. CP VNTORES. P.45.
- Strongin R.G., Gergel V.P., Sergeyev Ya.D. (1989) Organization of man-made dialogue for minicomputers.In Proc.of the Conference "Man-Made Dialogue". Sverdlovsk. Ural Branch of the Academy of Sciences USSR. Volume 2. 169-172.
- Sergeyev Ya.D. (1989) An asynchronous parallel method of minimization. In Proc.of the 7-d Nation-wide Seminar "Parallelization of Information Processing". Lvov. FMI im. Carpenko AN USSR. Volume 1. 47-48.
- Strongin R.G., Gergel V.P., Sergeyev Ya.D. (1990) Software for solving multicriterial optimization problems. In Proc.of the 4-d Nation-wide Seminar "Software for Distributed Computing Systems". Moscow. MIFI. 135-136.
- Sergeyev Ya.D. (1992) Sufficient conditions of convergence for a parallel global optimization algorithm on Holder functions, In Proc. of Interstate Conference "Extremal problems and their applications", Nizhni Novgorod. Nizhni Novgorod State University. P.101.
- Molinaro A., Sergeyev Ya.D., C. Pizzuti (1996) A new approach for solving the first zero-crossing problems in electronics,
*Italian Society for Computer Simulation*, University*Tor Vergata*Press, Rome, 67-72. - Sergeyev Ya.D. (1996) Parallel global optimization algorithms with and without derivatives. In Proc. of the International Conference AIRO'96, Perugia, Perugia University Press, 323-326.
- Molinaro A., Sergeyev Ya.D., C. Pizzuti (1998) An efficient algorithm for the zero crossing detection in digitised measurement signals, Proc. ISCS '97, 68-75.
- Eisinberg A., Molinaro A., Sergeyev Ya.D. (1999) Finding the minimal root of an equation, Proc. AIRO'99, Napoli, Edizioni Scientifiche Italiane, 131.
- Sergeyev Ya.D. (2005) A few remarks on philosophical foundations of a new applied approach to Infinity,
*Scheria*, vol. 26-27, pp. 63-72. - Khalaf F., Kvasov D.E., and Sergeyev Ya.D. (2006) One-dimensional global optimization problems with multiextremal constraints, Atti del convegno "SIMAI 2006 - VIII Congress of the Italian Society for Applied and Industrial Mathematics", a cura di Puccio L. et al., Universita' degli Studi di Messina, P. 184.
- Sergeyev Ya.D. (2006) Infinity Computer and Calculus, atti del convegno "SIMAI 2006 - VII Congress of the Italian Society for Applied and Industrial Mathematics", a cura di Puccio L. et al., Universita' degli Studi di Messina, P. 230.
- Sergeyev Ya.D. (2014) 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, eds. C. Pizzuti, G. Spezzano, Series 'Communications in Computer and Information Science', Springer, New York, vol. 445, 190-200.
- Strongin R.G., Sergeyev Ya.D. (1988) A simulation of computations in multi-PU systems (an example of solving multiextremal problems). Gorky .Gorky State University. 32 p. (In Russian).
- Sergeyev Ya.D., Korovina T.A. (1991) Software for secondary school, Nizhni Novgorod. Nizhni Novgorod State University. 27p. (In Russian).
- Infante D., Sergeyev Ya.D., Trifonov Yu.V., Doronichev D.A., Gorbunova M.L. (1999) On economical education at universities in Italy and Russian Federation, Proc. of the 2d International Conference on Regional Aspects of Public Economics, Nizhni Novgorod State University Press, Nizhni Novgorod. 250-251. (In Russian).
- Grishagin V.A., Sergeyev Ya.D. (2001) Principles of mutual recognition of diploma studies in the structure of Russian-Italian University, Proc. Of the 3
^{rd}International Conference on Regional Aspects of Public Economics, Nizhni Novgorod State University Press, Nizhni Novgorod, Vol.1, 110-113. (In Russian). - Grishagin V.A., Groudzinski A.O., Infante D., Kokine A.S., Maslauskas A., Petrova O.V., Plum V., Rasmussen E., Sergeyev Ya.D., Strongin R.G., Wolffsen P. (2002) Mutual academic recognition between Russian Federation and EU certified by two diplomas, Nizhni Novgorod State University Press, Nizhni Novgorod, 73 pp.
- Sergeyev Ya.D. (2006) Misuriamo l’infinito: Un semplice modo per insegnare i concetti delle grandezze infinite,
*Periodico di Matematiche,*6(2), 11-26. - Kvasov D.E., Sergeyev Ya.D. (2006) Analysis of global optimization methods by using a generator of classes of test functions. NNGU Press, Nizhni Novgorod, 48 p. (In Russian).
- Strongin R.G., Grishagin V.A., Sergeyev Ya.D. (2006) An innovative international educational project 'Russian-Italian University', Innovations in Education
*Bulletin of the Nizhni Novgorod State University*, 7(1), 132-157, (In Russian). - Sergeyev Ya.D., Kvasov D.E. (2016) A brief introduction in the theory of Lipschitz global optimization. NNGU Press, Nizhni Novgorod, 48 p. (In Russian).
- Shvezov V.I., Gergel V.P., Sergeyev Ya.D. (1986) Local networks based on SM-microcomputers. Research Report, State Registration Number 01860081646, N°02.86.0062957. Gorky. Gorky State University.31p.(In Russian).
- Gergel V.P., Sergeyev Ya.D., Strongin R.G., Shvezov V.I. (1988) Program system STIMUL. Research Report. State Registration Number 01860081646, N°02.88.0061732. Gorky. Gorky State University. 21p. (In Russian).
- Gergel V.P., Grishagin V.A., Kastosov I.V., Kulacova A.P., Kutasova T.Yu., Kuzin S.G., Sergeyev Ya.D., Strongin R.G., Shvezov V.I. (1989) Integrated program system for optimal design of technological processes.Research Report, State Registration Number 01860081646, N°029.00-021998. Gorky. Gorky State University. 130p. (In Russian).
- Sergeyev Ya.D. (1989) Parallel numerical methods of global minimization. Research Report. State Registration Number 0188.0064162, N°0289005071. Gorky. Gorky State University. 78 p. (In Russian).
- Strongin R.G., Gergel V.P., Grishagin V.A., Sergeyev Ya.D. (1990) Decision making subsystem for CAD-systems.Research Report. State Registration Number 0188.0064162, Nizhni Novgorod. Nizhni Novgorod State University. 19p. (In Russian)
- Strongin R.G., Gergel V.P., Grishagin V.A., Sergeyev Ya.D. (1990) Integrated decision making system for technological processes. Research Report.State Registration Number 0188.0064162, Nizhni Novgorod.Nizhni Novgorod State University, 41p. (In Russian).
- Gergel V.P., Sergeyev Ya.D., Strongin R.G. (1990) A parallel method for global optimization and its implementation on a transputer system. Report NI 90-04. Lyngby. Technical University of Denmark, 23 p.
- Sergeyev Ya.D., Grishagin V.A. (1991) A parallel method for finding the global minimum. Report N°114. Rende-Cosenza. Università della Calabria, Dipartimento di Sistemi, 28 p.
- Grishagin V.A., Sergeyev Ya.D., Strongin R.G. (1991) An approach to the creation of parallel characteristical algorithms for global optimization. Report N°107. Rende-Cosenza. Università della Calabria, Dipartimento di Sistemi, 10 p.
- Cannataro M., Sergeyev Ya.D., Spezzano G., Talia D. (1992) Probabilistic load balancing strategy with the neighbourhood synchronization. Technical Report N°92-03. CRAI, 28 p.
- Cerulli R., Gaudioso M., Sergeyev Ya.D. (1992) A multiplier adjustment technique for concentrator location problem, N°26. Rende-Cosenza. Università della Calabria, Dipartimento di Elettronica, Informatica e Sistemistica, 10 p.
- Sergeyev Ya.D. (1992) A one-dimensional global minimization algorithm using local estimation of Lipschitz constant, Report N° 28, Rende-Cosenza. Università della Calabria, DEIS, 19p.
- Sergeyev Ya.D. (1992) An information global optimization algorithm with local tuning, Report N° 29, Rende-Cosenza, Università della Calabria, DEIS, 19p.
- Sergeyev Ya.D. (1994) "Divide the best" algorithms for global optimization, Report N° 2/94, Rende-Cosenza. Università della Calabria, Dipartimento di Matematica, 14p.
- Markin D.L., Sergeyev Ya.D. (1994) An information algorithm with local tuning for solving global optimization problems with nonlinear constraints, Report N° 4/94, Rende-Cosenza, Università della Calabria, Dipartimento di Matematica, 14p.
- Gergel V.P., Sergeyev Ya.D., (1994) Sequential and parallel global optimization algorithms using derivatives, Report N° 7/94, Rende-Cosenza, Università della Calabria, Dipartimento di Matematica, 14p.
- Sergeyev Ya.D. (1994) A global optimization algorithm using derivatives and local tuning, Report N° 1, ISI-CNR, Rende-Cosenza, 24p.
- Sergeyev Ya.D. (1994) Global optimization algorithms using smooth auxiliary functions, Report N° 5, ISI-CNR, Rende-Cosenza, 33p.
- Sergeyev Ya.D. (1994) A multidimensional global optimization algorithm using derivatives and local tuning, Report N° 6, ISI-CNR, Rende-Cosenza, 23p.
- Sergeyev Ya.D. (1994) On symmetric exponential sums, Report N° 7, ISI-CNR, Rende-Cosenza, 11p.
- Molinaro A., Sergeyev Ya.D. (1995) Finding zero crossing points in electrotechnical problems, Report N° 9, ISI-CNR, Rende-Cosenza, 16p.
- Sergeyev Ya.D. (1995) A two-points-three-intervals partition of the N-dimensional hyperinterval, Report N° 10, ISI-CNR, Rende-Cosenza, 7p.
- Daponte P., Grimaldi D., Molinaro A., Sergeyev Ya.D. (1996) Solving an optimization problem arising in electrical engineering, Report N° 5, ISI-CNR, Rende-Cosenza, 25p.
- Grishagin V.A., Sergeyev Ya.D., Strongin R.G. (1996) On convergence of parallel characteristical GO algorithms, Report N° 19, ISI-CNR, Rende-Cosenza, 36p.
- Sergeyev Ya.D. (1996) Parallel computations and local information for solving global optimization problems, Nizhni Novgorod University Press, 343p.
- Sergeyev Ya.D. (1997) A parallel GO algorithm using Peano curves, Report N° 1, ISI-CNR, Rende-Cosenza, 6p.
- Sergeyev Ya.D. (1998) Efficient partition of the N-dimensional hyperintervals, Report N° 1, ISI-CNR, Rende-Cosenza, 24p.
- Casado L.G., García I., Sergeyev Ya.D. (1998) Interval global optimization for finding the first zero-crossing point, Report N° 2, ISI-CNR, Rende-Cosenza, 14p.
- Sotchkov A.L., Pizzuti C., Sergeyev Ya.D. (1998) Problems of Torsional Vibrations Reduction in Electromechanical Systems Based on an Alternating Current Electric Machine with a Power Static Converter, Report N° 4, ISI-CNR, Rende-Cosenza, 16p.
- Molinaro A., Sergeyev Ya.D. (1998) Studying the minimal root problem for the multiextremal and nondifferentiable functions, Report N° 5, ISI-CNR, Rende-Cosenza, 26p.
- Famularo D., Pugliese P., Sergeyev Ya.D. (1998) A global optimization technique for checking parametric robustness, Report N° 6, ISI-CNR, Rende-Cosenza, 14p.
- Molinaro A., Pizzuti C., Sergeyev Ya.D. (1998) A new global optimization method based on the diagonal approach, Report N° 11, ISI-CNR, Rende-Cosenza, 14p.
- Molinaro A., Pizzuti C., Sergeyev Ya.D. (1998) On acceleration of diagonal information GO algorithms, Report N° 12, ISI-CNR, Rende-Cosenza, 26p.
- Sergeyev Ya.D., Grishagin V.A., (1998) A parallel asynchronous GO method using the nested optimization scheme, Report N° 14, ISI-CNR, Rende-Cosenza, 27p.
- Casado L.G., García I., Sergeyev Ya.D. (1999) Interval analysis for robust finding the minimal root in a set of equations, Report N° 28, ISI-CNR, Rende-Cosenza, 16p.
- Famularo D., Sergeyev Ya.D., Pugliese P. (2001) Test Problems and Numerical Comparison for Lipschitz univariate global optimization with multiextremal constraints, Report N° 1, ISI-CNR, Rende-Cosenza, 18p.
- Kvasov D.E., Pizzuti C., Sergeyev Ya.D. (2001) Comparison of two partition strategies in diagonal global optimization algorithms, Report N° 9, ISI-CNR, Rende-Cosenza, 16p.
- Sergeyev Ya.D., Kvasov D.E. (2002), A new optimization algorithm using adaptive diagonal curves and its numerical testing. ISI-CNR, Report N° 1, Rende-Cosenza, 13p.
- Sergeyev Ya.D. (2004) A new approach for executing calculations with finite, infinite, and infinitesimal quantities. Technical report RT-ICAR-CS-04-14. ICAR-CNR, Rende (CS), 46 p.
- Sergeyev Ya.D., Kvasov D.E. (2004) Diagonal Lipschitz global optimization algorithm working with a set of Lipschitz constants, Technical Report RT-ICAR-CS-04-15, ICAR-CNR, Rende (CS), 33 pages.
- Sergeyev Ya.D. (2007) Remarks on exact numerical differentiation, Technical Report RT-ICAR-CS-07-4, ICAR-CNR, Rende (CS), 9 pages.
- Sergeyev Ya.D. (2008) An example of the usage of blinking fractals for describing processes of growth of biological systems, Technical Report RT-ICAR-CS-08-1, ICAR-CNR, Rende (CS), 25 pages.
- Sergeyev Ya.D. (2008) Towards Differential Calculus with functions assuming finite, infinite, and infinitesimal values over finite, infinite, and infinitesimal domains, Technical Report RT-ICAR-CS-08-5, ICAR-CNR, Rende (CS), 32 pages.
- Sergeyev Ya.D., Garro A. (2008) Turing Machines and their observation, Technical Report RT-ICAR-CS-08-6, ICAR-CNR, Rende (CS), 30 pages.
- Kvasov D.E., Sergeyev Ya.D. (2008) A numerical global optimization method working with a set of Lipschitz constants for derivatives, Technical Report RT-ICAR-CS-08-7, ICAR-CNR, Rende (CS), 14 pages.

**2. Prefaces to edited volumes, special issues of international journals, proceedings, etc.**

**3. Papers published in international journals**

**4. Patents**

**5. Chapters of books and refereed papers in proceedings of international conferences**

**6. Papers in national journals and proceedings of national conferences**

**7. Didactic papers**

**8. Technical reports**