Edit Profile (opens in new tab) Blinkov, Yuri A. Compute Distance To: Compute Author ID: blinkov.yuri-a Published as: Blinkov, Yu. A.; Blinkov, Yuri A.; Blinkov, Yuri more...less External Links: ORCID Documents Indexed: 26 Publications since 1994 Co-Authors: 17 Co-Authors with 24 Joint Publications 231 Co-Co-Authors all top 5 Co-Authors 2 single-authored 19 Gerdt, Vladimir Petrovich 3 Yanovich, Denis A. 2 Amodio, Pierluigi 2 La Scala, Roberto 2 Mozzhilkin, Vladimir V. 1 Blinkova, A. Yu. 1 Deveikis, Algirdas 1 Góźdź, Andrzej 1 Gusev, Alexander A. 1 Hess, Peter O. 1 Ivanov, Sergeĭ V. 1 Kotkova, E. A. 1 Lyakhov, Dmitry A. 1 Marinov, K. B. 1 Mesyanzhin, Artem V. 1 Michels, Dominik Ludewig 1 Mogilevich, Lev I. 1 Pankratov, Il’ya Alekseevich 1 Pȩdrak, Aleksandra 1 Vinitsky, Sergue I. 1 Zharkov, A. Yu. 1 Zinin, Mikhail V. all top 5 Serials 10 Programming and Computer Software 2 Mathematics and Computers in Simulation 1 Applied Mathematics and Computation 1 Journal of Mathematical Sciences (New York) 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Chebyshevskiĭ Sbornik 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika all top 5 Fields 21 Computer science (68-XX) 18 Commutative algebra (13-XX) 7 Numerical analysis (65-XX) 5 Partial differential equations (35-XX) 4 Fluid mechanics (76-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 23 Publications have been cited 205 times in 101 Documents Cited by ▼ Year ▼ Involutive bases of polynomial ideals. Zbl 1017.13500Gerdt, Vladimir P.; Blinkov, Yuri A. 74 1998 Minimal involutive bases. Zbl 1017.13501Gerdt, Vladimir P.; Blinkov, Yuri A. 28 1998 Construction of Janet bases. II: Polynomial bases. Zbl 1015.13013Gerdt, Vladimir P.; Blinkov, Yuri A.; Yanovich, Denis A. 13 2001 Gröbner bases and generation of difference schemes for partial differential equations. Zbl 1094.68125Gerdt, Vladimir P.; Blinkov, Yuri A.; Mozzhilkin, Vladimir V. 12 2006 Involutive systems of algebraic equations. Zbl 0828.13020Zharkov, A. Yu.; Blinkov, Yu. A. 10 1994 Fast search for the Janet divisor. Zbl 1024.13009Gerdt, V. P.; Yanovich, D. A.; Blinkov, Yu. A. 9 2001 Involutive divisions of monomials. Zbl 0972.68193Gerdt, V. P.; Blinkov, Yu. A. 9 1998 Construction of Janet bases. I: Monomial bases. Zbl 1015.13012Gerdt, Vladimir P.; Blinkov, Yuri A.; Yanovich, Denis A. 6 2001 Involution and difference schemes for the Navier-Stokes equations. Zbl 1260.76008Gerdt, Vladimir P.; Blinkov, Yuri A. 6 2009 On consistency of finite difference approximations to the Navier-Stokes equations. Zbl 1412.65063Amodio, Pierluigi; Blinkov, Yuri; Gerdt, Vladimir; La Scala, Roberto 6 2013 Janet-like monomial division. Zbl 1169.68660Gerdt, Vladimir P.; Blinkov, Yuri A. 5 2005 Janet-like Gröbner bases. Zbl 1169.68661Gerdt, Vladimir P.; Blinkov, Yuri A. 5 2005 Involutive division generated by an antigraded monomial ordering. Zbl 1344.68299Gerdt, Vladimir P.; Blinkov, Yuri A. 5 2011 Generation of difference schemes for the Burgers equation by constructing Gröbner bases. Zbl 1101.65086Blinkov, Yu. A.; Mozzhilkin, V. V. 4 2006 Method of separative monomials for involutive divisions. Zbl 0991.68158Blinkov, Yu. A. 4 2001 Specialized computer algebra system GINV. Zbl 1185.68867Blinkov, Yu. A.; Gerdt, V. P. 3 2008 Algebraic construction and numerical behavior of a new s-consistent difference scheme for the 2D Navier-Stokes equations. Zbl 1426.76449Amodio, Pierluigi; Blinkov, Yuri; Gerdt, Vladimir; La Scala, Roberto 2 2017 On selection of nonmultiplicative prolongations in computation of Janet bases. Zbl 1147.68878Gerdt, V. P.; Blinkov, Yu. A. 2 2007 On the consistency analysis of finite difference approximations. Zbl 1435.65130Michels, D. L.; Gerdt, V. P.; Blinkov, Yu. A.; Lyakhov, D. A. 1 2019 Computation of Janet bases for toric ideals. Zbl 1035.68138Blinkov, Yu. A. 1 2002 Construction of a new implicit difference scheme for 2D Boussinesq paradigm equation. Zbl 1437.65090Blinkov, Yu. A.; Gerdt, V. P.; Pankratov, I. A.; Kotkova, E. A. 1 2019 On computation of Boolean involutive bases. Zbl 1214.68472Gerdt, V. P.; Zinin, M. V.; Blinkov, Yu. A. 1 2010 Discretization of quasilinear evolution equations by computer algebra methods. Zbl 1458.35367Blinkov, Yu. A.; Gerdt, V. P.; Marinov, K. B. 1 2017 On the consistency analysis of finite difference approximations. Zbl 1435.65130Michels, D. L.; Gerdt, V. P.; Blinkov, Yu. A.; Lyakhov, D. A. 1 2019 Construction of a new implicit difference scheme for 2D Boussinesq paradigm equation. Zbl 1437.65090Blinkov, Yu. A.; Gerdt, V. P.; Pankratov, I. A.; Kotkova, E. A. 1 2019 Algebraic construction and numerical behavior of a new s-consistent difference scheme for the 2D Navier-Stokes equations. Zbl 1426.76449Amodio, Pierluigi; Blinkov, Yuri; Gerdt, Vladimir; La Scala, Roberto 2 2017 Discretization of quasilinear evolution equations by computer algebra methods. Zbl 1458.35367Blinkov, Yu. A.; Gerdt, V. P.; Marinov, K. B. 1 2017 On consistency of finite difference approximations to the Navier-Stokes equations. Zbl 1412.65063Amodio, Pierluigi; Blinkov, Yuri; Gerdt, Vladimir; La Scala, Roberto 6 2013 Involutive division generated by an antigraded monomial ordering. Zbl 1344.68299Gerdt, Vladimir P.; Blinkov, Yuri A. 5 2011 On computation of Boolean involutive bases. Zbl 1214.68472Gerdt, V. P.; Zinin, M. V.; Blinkov, Yu. A. 1 2010 Involution and difference schemes for the Navier-Stokes equations. Zbl 1260.76008Gerdt, Vladimir P.; Blinkov, Yuri A. 6 2009 Specialized computer algebra system GINV. Zbl 1185.68867Blinkov, Yu. A.; Gerdt, V. P. 3 2008 On selection of nonmultiplicative prolongations in computation of Janet bases. Zbl 1147.68878Gerdt, V. P.; Blinkov, Yu. A. 2 2007 Gröbner bases and generation of difference schemes for partial differential equations. Zbl 1094.68125Gerdt, Vladimir P.; Blinkov, Yuri A.; Mozzhilkin, Vladimir V. 12 2006 Generation of difference schemes for the Burgers equation by constructing Gröbner bases. Zbl 1101.65086Blinkov, Yu. A.; Mozzhilkin, V. V. 4 2006 Janet-like monomial division. Zbl 1169.68660Gerdt, Vladimir P.; Blinkov, Yuri A. 5 2005 Janet-like Gröbner bases. Zbl 1169.68661Gerdt, Vladimir P.; Blinkov, Yuri A. 5 2005 Computation of Janet bases for toric ideals. Zbl 1035.68138Blinkov, Yu. A. 1 2002 Construction of Janet bases. II: Polynomial bases. Zbl 1015.13013Gerdt, Vladimir P.; Blinkov, Yuri A.; Yanovich, Denis A. 13 2001 Fast search for the Janet divisor. Zbl 1024.13009Gerdt, V. P.; Yanovich, D. A.; Blinkov, Yu. A. 9 2001 Construction of Janet bases. I: Monomial bases. Zbl 1015.13012Gerdt, Vladimir P.; Blinkov, Yuri A.; Yanovich, Denis A. 6 2001 Method of separative monomials for involutive divisions. Zbl 0991.68158Blinkov, Yu. A. 4 2001 Involutive bases of polynomial ideals. Zbl 1017.13500Gerdt, Vladimir P.; Blinkov, Yuri A. 74 1998 Minimal involutive bases. Zbl 1017.13501Gerdt, Vladimir P.; Blinkov, Yuri A. 28 1998 Involutive divisions of monomials. Zbl 0972.68193Gerdt, V. P.; Blinkov, Yu. A. 9 1998 Involutive systems of algebraic equations. Zbl 0828.13020Zharkov, A. Yu.; Blinkov, Yu. A. 10 1994 all cited Publications top 5 cited Publications all top 5 Cited by 98 Authors 20 Gerdt, Vladimir Petrovich 18 Seiler, Werner M. 10 Hashemi, Amir 8 Blinkov, Yuri A. 7 Robertz, Daniel 6 Ceria, Michela 6 Yanovich, Denis A. 4 Mora, Teo 4 Roggero, Margherita 4 Zinin, Mikhail V. 3 Albert, Mario 3 Bertone, Cristina 3 Chen, Yufu 3 Cioffi, Francesca 3 Gao, Xiaoshan 3 Ivanov, Sergeĭ V. 3 La Scala, Roberto 3 Lange-Hegermann, Markus 3 Mogilevich, Lev I. 3 Plesken, Wilhelm 3 Semenov, Artem S. 2 Bächler, Thomas 2 Binaei, Bentolhoda 2 Blinkov, Yuriĭ Anatol’evich 2 Li, Zhibin 2 Orth, Matthias 2 Pankrat’ev, Evgeniĭ Vasil’evich 2 Parnian, Hossein 2 Zhang, Shanqing 2 Zhang, Xiaojing 2 Zhi, Lihong 1 Alexandrov, Dmitriy E. 1 Alonso, Mariemi E. 1 Amodio, Pierluigi 1 Apel, Joachim 1 Aramideh, Nasibeh 1 Blinkova, A. Yu. 1 Castro-Jiménez, Francisco Jesús 1 Chen, Wensheng 1 Cheng, Jinsan 1 Divakov, Dmitry V. 1 Evans, Gareth A. 1 Fabiańska, Anna 1 Fetzer, Matthias 1 Galkin, V. V. 1 Golubitsky, Oleg 1 Hausdorf, Marcus 1 Hauser, Herwig 1 Hemmecke, Ralf 1 Iohara, Kenji 1 Izgin, Thomas 1 Jambor, Sebastian 1 Kaptsov, Oleg Viktorovich 1 Kondrat’eva, Marina Vladimirovna 1 Kruglikov, Boris S. 1 Larrieu, Robin 1 Lasserre, Jean-Bernard 1 Latyshev, Viktor Nikolaevich 1 Laurent, Monique 1 Levin, M. V. 1 Lyakhov, Dmitry A. 1 M.-Alizadeh, Benyamin 1 Malbos, Philippe 1 Marinov, K. B. 1 Marvan, Michal 1 Mesyanzhin, Artem V. 1 Michels, Dominik Ludewig 1 Mityunin, V. A. 1 Möller, Hans Michael 1 Moreno-Frías, Maria Angeles 1 Mourrain, Bernard 1 Mozzhilkin, Vladimir V. 1 Olver, Peter John 1 Ovchinnikov, Alexey Igorevich 1 Pohjanpelto, Juha 1 Pommaret, Jean-Francois 1 Reid, Greg J. 1 Rostalski, Philipp 1 Sáenz de Cabezón Irigaray, Eduardo 1 Shapeev, Vasiliĭ Pavlovich 1 Steinwandt, Rainer 1 Sweedler, Moss Eisenberg 1 Tang, Jianliang 1 Tang, Zailiang 1 Teelen, Kristof 1 Trébuchet, Philippe 1 Tyutyunnik, Anastasiya A. 1 van der Hoeven, Joris 1 Veelaert, Peter 1 Visconti, Andrea 1 Vorozhtsov, Evgeniĭ Vasil’evich 1 Wang, Jie 1 Wensley, Christopher D. 1 Wu, Xiaoli 1 Zerz, Eva 1 Zhang, Guixu 1 Zobnin, Alexey I. 1 Zyuzikov, P. A. all top 5 Cited in 33 Serials 19 Programming and Computer Software 17 Journal of Symbolic Computation 8 Applicable Algebra in Engineering, Communication and Computing 6 Journal of Mathematical Sciences (New York) 5 Mathematics in Computer Science 3 Applied Mathematics and Computation 3 Journal of Algebra 3 Journal of Systems Science and Complexity 2 Mathematics and Computers in Simulation 2 Theoretical Computer Science 2 Foundations of Computational Mathematics 2 Russian Journal of Nonlinear Dynamics 1 Communications in Algebra 1 Computers & Mathematics with Applications 1 Journal of Mathematical Physics 1 Mathematische Semesterberichte 1 Theoretical and Mathematical Physics 1 Mathematics of Computation 1 Advances in Mathematics 1 Collectanea Mathematica 1 Journal of Pure and Applied Algebra 1 Kybernetika 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Mathematical and Computer Modelling 1 Science in China. Series A 1 Pattern Recognition 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Journal of Algebra and its Applications 1 Symmetry 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 Mathematics all top 5 Cited in 28 Fields 73 Commutative algebra (13-XX) 59 Computer science (68-XX) 19 Partial differential equations (35-XX) 13 Field theory and polynomials (12-XX) 12 Numerical analysis (65-XX) 11 Algebraic geometry (14-XX) 6 Fluid mechanics (76-XX) 5 Associative rings and algebras (16-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Combinatorics (05-XX) 3 Ordinary differential equations (34-XX) 3 Mechanics of deformable solids (74-XX) 3 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year