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Smirnov, Aleksandr Vladimirovich

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Author ID: smirnov.aleksandr-vladimirovich Recent zbMATH articles by "Smirnov, Aleksandr Vladimirovich"
Published as: Smirnov, A.; Smirnov, A. V.; Smirnov, Alexander; Smirnov, Alexander V.; Smirnow, Alexander
Homepage: https://istina.msu.ru/profile/Sander/
External Links: Math-Net.Ru · ORCID
Documents Indexed: 71 Publications since 1984, including 2 Books

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 518 times in 305 Documents Cited by Year
Algorithm FIRE-Feynman integral reduction. Zbl 1245.81033
Smirnov, A. V.
68
2008
Superpolynomials for torus knots from evolution induced by cut-and-join operators. Zbl 1342.57004
Dunin-Barkowski, P.; Mironov, A.; Morozov, A.; Sleptsov, A.; Smirnov, A.
52
2013
FIRE5: a C++ implementation of Feynman integral REduction. Zbl 1344.81030
Smirnov, A. V.
50
2015
Proving AGT conjecture as HS duality: Extension to five dimensions. Zbl 1229.81184
Mironov, A.; Morozov, A.; Shakirov, Sh.; Smirnov, A.
42
2012
FIRE4, LiteRed and accompanying tools to solve integration by parts relations. Zbl 1344.81031
Smirnov, A. V.; Smirnov, V. A.
30
2013
Feynman integral evaluation by a sector decomposition approach (FIESTA). Zbl 1198.81044
Smirnov, A. V.; Tentyukov, M. N.
27
2009
FIESTA 2: parallelizeable multiloop numerical calculations. Zbl 1214.81171
Smirnov, A. V.; Smirnov, V. A.; Tentyukov, M.
24
2011
Analytic results for planar three-loop four-point integrals from a Knizhnik-Zamolodchikov equation. Zbl 1342.81352
Henn, Johannes M.; Smirnov, Alexander V.; Smirnov, Vladimir A.
21
2013
Analytic results for massless three-loop form factors. Zbl 1272.81196
Lee, R. N.; Smirnov, A. V.; Smirnov, V. A.
20
2010
On the resolution of singularities of multiple Mellin-Barnes integrals. Zbl 1188.81090
Smirnov, A. V.; Smirnov, V. A.
20
2009
FIESTA4: optimized Feynman integral calculations with GPU support. Zbl 1378.65075
Smirnov, A. V.
17
2016
Three-dimensional extensions of the Alday-Gaiotto-Tachikawa relation. Zbl 1280.81092
Galakhov, D. V.; Mironov, A. D.; Morozov, A. Yu.; Smirnov, A. V.
17
2012
Master integrals for four-loop massless propagators up to weight twelve. Zbl 1246.81057
Lee, R. N.; Smirnov, A. V.; Smirnov, V. A.
16
2012
FIESTA 3: cluster-parallelizable multiloop numerical calculations in physical regions. Zbl 1351.81078
Smirnov, A. V.
13
2014
The number of master integrals is finite. Zbl 1216.81076
Smirnov, Alexander V.; Petukhov, Alexey V.
11
2011
The bilinear complexity and practical algorithms for matrix multiplication. Zbl 1313.65094
Smirnov, A. V.
9
2013
A planar four-loop form factor and cusp anomalous dimension in QCD. Zbl 1388.81989
Henn, Johannes M.; Smirnov, Alexander V.; Smirnov, Vladimir A.; Steinhauser, Matthias
8
2016
On the exact and approximate bilinear complexities of multiplication of \(4\times 2\) and \(2\times 2\) matrices. Zbl 1317.68061
Alekseev, V. B.; Smirnov, A. V.
8
2013
Kontsevich integral for knots and Vassiliev invariants. Zbl 1272.81179
Dunin-Barkowski, P.; Sleptsov, A.; Smirnov, A.
7
2013
Evaluating multiple polylogarithm values at sixth roots of unity up to weight six. Zbl 1361.81105
Henn, J. M.; Smirnov, A. V.; Smirnov, V. A.
6
2017
Four-loop massless propagators: a numerical evaluation of all master integrals. Zbl 1206.81090
Smirnov, A. V.; Tentyukov, M.
6
2010
Low-energy moments of heavy quark current correlators at four loops. Zbl 1196.81181
Maier, Andreas; Maierhöfer, P.; Marquard, P.; Smirnov, A. V.
6
2010
Numerical solution of the singular Abel integral equation by the generalized quadrature method. Zbl 1100.65128
Sizikov, V. S.; Smirnov, A. V.; Fedorov, B. A.
6
2004
Analytic results for planar three-loop integrals for massive form factors. Zbl 1390.81179
Henn, Johannes M.; Smirnov, Alexander V.; Smirnov, Vladimir A.
5
2016
Solving differential equations for Feynman integrals by expansions near singular points. Zbl 1388.81927
Lee, Roman N.; Smirnov, Alexander V.; Smirnov, Vladimir A.
4
2018
Massive three-loop form factor in the planar limit. Zbl 1373.81385
Henn, Johannes; Smirnov, Alexander V.; Smirnov, Vladimir A.; Steinhauser, Matthias
4
2017
Evaluation of the effective viscoelastic properties of a material containing multiple oblate inhomogeneities using fraction-exponential operators. Zbl 07130173
Smirnov, Alexander; Vilchevskaya, Elena; Sevostianov, Igor
3
2019
Explicit computation of the Drinfeld associator in the case of the fundamental representation of \(gl(N)\). Zbl 1252.81099
Dunin-Barkowski, P.; Sleptsov, A.; Smirnov, A.
3
2012
Integrable \(sl(N,\mathbb C)\) tops as Calogero-Moser systems. Zbl 1175.70006
Smirnov, A. V.
3
2009
Analysis of data on the relation between eddies and streaky structures in turbulent flows using the placebo method. Zbl 1200.76109
Chernyshenko, S. I.; Di Cicca, G. M.; Iollo, A.; Smirnov, A. V.; Sandham, N. D.
3
2006
A bilinear algorithm of length \(22\) for approximate multiplication of \(2\times 7\) and \(7\times 2\) matrices. Zbl 1331.68296
Smirnov, A. V.
2
2015
LES of bubble dynamics in wake flows. Zbl 1098.76557
Smirnov, A.; Celik, I.; Shi, S.
2
2005
Evaluating ‘elliptic’ master integrals at special kinematic values: using differential equations and their solutions via expansions near singular points. Zbl 1395.81288
Lee, Roman N.; Smirnov, Alexander V.; Smirnov, Vladimir A.
1
2018
On the problem of wiki texts indexing. Zbl 1308.68144
Krizhanovsky, A. A.; Smirnov, A. V.
1
2009
Systems of \(sl(2,\mathbb C)\) tops as two-particle systems. Zbl 1200.37063
Smirnov, A. V.
1
2008
Ontology management. Zbl 1110.68515
Levashova, T. V.; Pashkin, M. P.; Smirnov, A. V.; Shilov, N. G.
1
2003
Knowledge source network configuration approach to knowledge logistics. Zbl 1022.68119
Smirnov, Alexander; Pashkin, Mikhail; Chilov, Nikolai; Levashova, Tatiana; Haritatos, Fred
1
2003
Evaluation of the effective viscoelastic properties of a material containing multiple oblate inhomogeneities using fraction-exponential operators. Zbl 07130173
Smirnov, Alexander; Vilchevskaya, Elena; Sevostianov, Igor
3
2019
Solving differential equations for Feynman integrals by expansions near singular points. Zbl 1388.81927
Lee, Roman N.; Smirnov, Alexander V.; Smirnov, Vladimir A.
4
2018
Evaluating ‘elliptic’ master integrals at special kinematic values: using differential equations and their solutions via expansions near singular points. Zbl 1395.81288
Lee, Roman N.; Smirnov, Alexander V.; Smirnov, Vladimir A.
1
2018
Evaluating multiple polylogarithm values at sixth roots of unity up to weight six. Zbl 1361.81105
Henn, J. M.; Smirnov, A. V.; Smirnov, V. A.
6
2017
Massive three-loop form factor in the planar limit. Zbl 1373.81385
Henn, Johannes; Smirnov, Alexander V.; Smirnov, Vladimir A.; Steinhauser, Matthias
4
2017
FIESTA4: optimized Feynman integral calculations with GPU support. Zbl 1378.65075
Smirnov, A. V.
17
2016
A planar four-loop form factor and cusp anomalous dimension in QCD. Zbl 1388.81989
Henn, Johannes M.; Smirnov, Alexander V.; Smirnov, Vladimir A.; Steinhauser, Matthias
8
2016
Analytic results for planar three-loop integrals for massive form factors. Zbl 1390.81179
Henn, Johannes M.; Smirnov, Alexander V.; Smirnov, Vladimir A.
5
2016
FIRE5: a C++ implementation of Feynman integral REduction. Zbl 1344.81030
Smirnov, A. V.
50
2015
A bilinear algorithm of length \(22\) for approximate multiplication of \(2\times 7\) and \(7\times 2\) matrices. Zbl 1331.68296
Smirnov, A. V.
2
2015
FIESTA 3: cluster-parallelizable multiloop numerical calculations in physical regions. Zbl 1351.81078
Smirnov, A. V.
13
2014
Superpolynomials for torus knots from evolution induced by cut-and-join operators. Zbl 1342.57004
Dunin-Barkowski, P.; Mironov, A.; Morozov, A.; Sleptsov, A.; Smirnov, A.
52
2013
FIRE4, LiteRed and accompanying tools to solve integration by parts relations. Zbl 1344.81031
Smirnov, A. V.; Smirnov, V. A.
30
2013
Analytic results for planar three-loop four-point integrals from a Knizhnik-Zamolodchikov equation. Zbl 1342.81352
Henn, Johannes M.; Smirnov, Alexander V.; Smirnov, Vladimir A.
21
2013
The bilinear complexity and practical algorithms for matrix multiplication. Zbl 1313.65094
Smirnov, A. V.
9
2013
On the exact and approximate bilinear complexities of multiplication of \(4\times 2\) and \(2\times 2\) matrices. Zbl 1317.68061
Alekseev, V. B.; Smirnov, A. V.
8
2013
Kontsevich integral for knots and Vassiliev invariants. Zbl 1272.81179
Dunin-Barkowski, P.; Sleptsov, A.; Smirnov, A.
7
2013
Proving AGT conjecture as HS duality: Extension to five dimensions. Zbl 1229.81184
Mironov, A.; Morozov, A.; Shakirov, Sh.; Smirnov, A.
42
2012
Three-dimensional extensions of the Alday-Gaiotto-Tachikawa relation. Zbl 1280.81092
Galakhov, D. V.; Mironov, A. D.; Morozov, A. Yu.; Smirnov, A. V.
17
2012
Master integrals for four-loop massless propagators up to weight twelve. Zbl 1246.81057
Lee, R. N.; Smirnov, A. V.; Smirnov, V. A.
16
2012
Explicit computation of the Drinfeld associator in the case of the fundamental representation of \(gl(N)\). Zbl 1252.81099
Dunin-Barkowski, P.; Sleptsov, A.; Smirnov, A.
3
2012
FIESTA 2: parallelizeable multiloop numerical calculations. Zbl 1214.81171
Smirnov, A. V.; Smirnov, V. A.; Tentyukov, M.
24
2011
The number of master integrals is finite. Zbl 1216.81076
Smirnov, Alexander V.; Petukhov, Alexey V.
11
2011
Analytic results for massless three-loop form factors. Zbl 1272.81196
Lee, R. N.; Smirnov, A. V.; Smirnov, V. A.
20
2010
Four-loop massless propagators: a numerical evaluation of all master integrals. Zbl 1206.81090
Smirnov, A. V.; Tentyukov, M.
6
2010
Low-energy moments of heavy quark current correlators at four loops. Zbl 1196.81181
Maier, Andreas; Maierhöfer, P.; Marquard, P.; Smirnov, A. V.
6
2010
Feynman integral evaluation by a sector decomposition approach (FIESTA). Zbl 1198.81044
Smirnov, A. V.; Tentyukov, M. N.
27
2009
On the resolution of singularities of multiple Mellin-Barnes integrals. Zbl 1188.81090
Smirnov, A. V.; Smirnov, V. A.
20
2009
Integrable \(sl(N,\mathbb C)\) tops as Calogero-Moser systems. Zbl 1175.70006
Smirnov, A. V.
3
2009
On the problem of wiki texts indexing. Zbl 1308.68144
Krizhanovsky, A. A.; Smirnov, A. V.
1
2009
Algorithm FIRE-Feynman integral reduction. Zbl 1245.81033
Smirnov, A. V.
68
2008
Systems of \(sl(2,\mathbb C)\) tops as two-particle systems. Zbl 1200.37063
Smirnov, A. V.
1
2008
Analysis of data on the relation between eddies and streaky structures in turbulent flows using the placebo method. Zbl 1200.76109
Chernyshenko, S. I.; Di Cicca, G. M.; Iollo, A.; Smirnov, A. V.; Sandham, N. D.
3
2006
LES of bubble dynamics in wake flows. Zbl 1098.76557
Smirnov, A.; Celik, I.; Shi, S.
2
2005
Numerical solution of the singular Abel integral equation by the generalized quadrature method. Zbl 1100.65128
Sizikov, V. S.; Smirnov, A. V.; Fedorov, B. A.
6
2004
Ontology management. Zbl 1110.68515
Levashova, T. V.; Pashkin, M. P.; Smirnov, A. V.; Shilov, N. G.
1
2003
Knowledge source network configuration approach to knowledge logistics. Zbl 1022.68119
Smirnov, Alexander; Pashkin, Mikhail; Chilov, Nikolai; Levashova, Tatiana; Haritatos, Fred
1
2003
all top 5

Cited by 451 Authors

40 Morozov, Alexei Yurievich
30 Mironov, Andrei D.
16 Henn, Johannes M.
15 Smirnov, Vladimir A.
13 Morozov, Andreĭ Alekseevich
13 Smirnov, Aleksandr Vladimirovich
12 Gehrmann, Thomas
10 Lee, Roman N.
9 Bianchi, Marco S.
9 Duhr, Claude
9 Zenkevich, Yegor
9 Zhang, Yang
7 Sleptsov, Alexey
6 Itoyama, Hiroshi
6 Nieri, Fabrizio
6 Panzer, Erik
6 Ramadevi, Pichai
6 Smirnov, Andrey V.
6 Zabzine, Maxim
5 Badger, Simon D.
5 Bern, Zvi
5 Chetyrkin, K. G.
5 Georgoudis, Alessandro
5 Maier, Andreas
5 Marquard, Peter
5 Mitev, Vladimir
5 Nawata, Satoshi
5 Pomoni, Elli
5 Ruijl, Ben
4 Abreu, Samuel
4 Baikov, P. A.
4 Herrmann, Enrico
4 Huber, Tobias
4 Kniehl, Bernd A.
4 Mastrolia, Pierpaolo
4 Mauri, Andrea
4 Morozov, Al’bert Dmitrievich
4 Schabinger, Robert M.
4 Shakirov, Shamil
4 Singh, Vivek Kumar
4 Sleptsov, A. V.
4 Steinhauser, Matthias
4 Studerus, C.
4 Tancredi, Lorenzo
4 Zeng, Mao
3 Anokhina, A. S.
3 Arthamonov, Semeon
3 Awata, Hidetoshi
3 Boels, Rutger H.
3 Britto, Ruth
3 Cherednik, Ivan V.
3 Chicherin, Dmitry
3 Del Duca, Vittorio
3 Dominguez, Cesareo A.
3 Frellesvig, Hjalte
3 Gardi, Einan
3 Gonçalves, Vasco
3 Gorskiĭ, Aleksandr Sergeevich
3 Grozin, Andrey G.
3 Kanno, Hiroaki
3 Luthe, Thomas
3 Mizera, Sebastian
3 Morozov, Anton
3 Ohkubo, Yusuke
3 Pereira, Raul
3 Taki, Masato
3 Trnka, Jaroslav
3 Vermaseren, Jos A. M.
3 Von Manteuffel, Andreas
3 Wasser, Pascal
3 Yagi, Futoshi
3 Yang, Gang
3 Zotov, Andrei V.
2 Ahmed, Taushif
2 Aminov, G. A.
2 Bao, Ling
2 Bishler, Ludmila
2 Bogner, Christian
2 Böhm, Janko
2 Borowka, Sophia
2 Bourjaily, Jacob L.
2 Brödel, Johannes
2 Caron-Huot, Simon
2 Christandl, Matthias
2 Córdova, Clay
2 Diaconescu, Duiliu-Emanuel
2 Dolotin, V. V.
2 Donagi, Ron Y.
2 Dulat, Falko
2 Eden, Burkhard
2 Feng, Feng
2 Glover, E. W. N.
2 Gukov, Sergei
2 Heslop, Paul J.
2 Ikizlerli, N.
2 Klausen, René Pascal
2 Kol, Barak
2 Kononov, Ya. A.
2 Korchemsky, Gregory P.
2 Leoni, Matías
...and 351 more Authors
all top 5

Cited in 41 Serials

174 Journal of High Energy Physics
19 Nuclear Physics. B
15 Theoretical and Mathematical Physics
12 Computer Physics Communications
10 Letters in Mathematical Physics
9 Communications in Mathematical Physics
5 Modern Physics Letters A
5 International Journal of Modern Physics A
5 Physics Letters. B
3 International Journal of Engineering Science
3 Journal of Fluid Mechanics
3 Journal of Physics A: Mathematical and Theoretical
2 Journal of Mathematical Physics
2 Moscow University Computational Mathematics and Cybernetics
2 Applied Numerical Mathematics
2 Computational Mathematics and Mathematical Physics
2 Journal of Knot Theory and its Ramifications
2 Journal of Computer and Systems Sciences International
2 Selecta Mathematica. New Series
2 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika
1 Computers and Fluids
1 International Journal of General Systems
1 Journal of Computational Physics
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Journal of Geometry and Physics
1 Applied Mathematics and Computation
1 Journal of Algebra
1 Differential Geometry and its Applications
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Linear Algebra and its Applications
1 Computational Complexity
1 Experimental Mathematics
1 Sbornik: Mathematics
1 The Ramanujan Journal
1 Lobachevskii Journal of Mathematics
1 Annales Henri Poincaré
1 Physical Review Letters
1 Algebraic & Geometric Topology
1 Chebyshevskiĭ Sbornik
1 Communications in Theoretical Physics
1 Journal of the Operations Research Society of China
all top 5

Cited in 42 Fields

255 Quantum theory (81-XX)
46 Manifolds and cell complexes (57-XX)
24 Algebraic geometry (14-XX)
22 Global analysis, analysis on manifolds (58-XX)
19 Nonassociative rings and algebras (17-XX)
19 Relativity and gravitational theory (83-XX)
18 Numerical analysis (65-XX)
14 Mechanics of particles and systems (70-XX)
11 Special functions (33-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Computer science (68-XX)
7 Number theory (11-XX)
7 Dynamical systems and ergodic theory (37-XX)
6 Combinatorics (05-XX)
6 Integral equations (45-XX)
5 Associative rings and algebras (16-XX)
5 Group theory and generalizations (20-XX)
5 Partial differential equations (35-XX)
5 Algebraic topology (55-XX)
5 Statistics (62-XX)
5 Fluid mechanics (76-XX)
4 Functions of a complex variable (30-XX)
3 Operations research, mathematical programming (90-XX)
3 Biology and other natural sciences (92-XX)
2 Commutative algebra (13-XX)
2 Topological groups, Lie groups (22-XX)
2 Ordinary differential equations (34-XX)
2 Mechanics of deformable solids (74-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Category theory; homological algebra (18-XX)
1 Real functions (26-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Operator theory (47-XX)
1 Differential geometry (53-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)
1 Systems theory; control (93-XX)

Citations by Year