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Author ID: kostov.nikolay-a Recent zbMATH articles by "Kostov, Nikolay A."
Published as: Kostov, N. A.; Kostov, Nikolay; Kostov, Nikolay A.; Kostov, N.
Documents Indexed: 52 Publications since 1989
Co-Authors: 37 Co-Authors with 49 Joint Publications
799 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 763 times in 246 Documents Cited by Year
Space-time VMS computation of wind-turbine rotor and tower aerodynamics. Zbl 1398.76129
Takizawa, Kenji; Tezduyar, Tayfun E.; Mcintyre, Spenser; Kostov, Nikolay; Kolesar, Ryan; Habluetzel, Casey
78
2014
Space-time techniques for computational aerodynamics modeling of flapping wings of an actual locust. Zbl 1286.76179
Takizawa, Kenji; Henicke, Bradley; Puntel, Anthony; Kostov, Nikolay; Tezduyar, Tayfun E.
77
2012
Engineering analysis and design with ALE-VMS and space-time methods. Zbl 1348.74104
Takizawa, Kenji; Bazilevs, Yuri; Tezduyar, Tayfun E.; Hsu, Ming-Chen; Øiseth, Ole; Mathisen, Kjell M.; Kostov, Nikolay; McIntyre, Spenser
69
2014
Aerodynamic and FSI analysis of wind turbines with the ALE-VMS and ST-VMS methods. Zbl 1348.74095
Bazilevs, Yuri; Takizawa, Kenji; Tezduyar, Tayfun E.; Hsu, Ming-Chen; Kostov, Nikolay; McIntyre, Spenser
66
2014
Space-time computational analysis of bio-inspired flapping-wing aerodynamics of a micro aerial vehicle. Zbl 1286.76180
Takizawa, Kenji; Kostov, Nikolay; Puntel, Anthony; Henicke, Bradley; Tezduyar, Tayfun E.
66
2012
Patient-specific computational analysis of the influence of a stent on the unsteady flow in cerebral aneurysms. Zbl 1366.76106
Takizawa, Kenji; Schjodt, Kathleen; Puntel, Anthony; Kostov, Nikolay; Tezduyar, Tayfun E.
64
2013
Patient-specific computer modeling of blood flow in cerebral arteries with aneurysm and stent. Zbl 1311.76157
Takizawa, Kenji; Schjodt, Kathleen; Puntel, Anthony; Kostov, Nikolay; Tezduyar, Tayfun E.
55
2012
Fluid-structure interaction modeling of clusters of spacecraft parachutes with modified geometric porosity. Zbl 1398.74097
Takizawa, Kenji; Tezduyar, Tayfun E.; Boben, Joseph; Kostov, Nikolay; Boswell, Cody; Buscher, Austin
54
2013
Computer modeling techniques for flapping-wing aerodynamics of a locust. Zbl 1290.76170
Takizawa, Kenji; Henicke, Bradley; Puntel, Anthony; Kostov, Nikolay; Tezduyar, Tayfun E.
51
2013
Quasi-periodic and periodic solutions for coupled nonlinear Schrödinger equations of Manakov type. Zbl 0965.35157
Christiansen, P. L.; Eilbeck, J. C.; Enolskii, V. Z.; Kostov, N. A.
19
2000
Quasi-periodic solutions of the coupled nonlinear Schrödinger equations. Zbl 0866.35110
Christiansen, P. L.; Eilbeck, J. C.; Enolskij, V. Z.; Kostov, N. A.
19
1995
\(N\)-wave interactions related to simple Lie algebras. \(\mathbb{Z}_2\)-reductions and soliton solutions. Zbl 0988.35143
Gerdjikov, V. S.; Grahavoski, G. G.; Ivanov, R. I.; Kostov, N. A.
15
2001
On the geometry of elliptic solitons. Zbl 0810.35104
Enol’skii, V. Z.; Kostov, N. A.
14
1994
Quasi-periodic solutions of the integrable dynamical systems related to Hill’s equation. Zbl 0691.58022
Kostov, N. A.
12
1989
Reductions of \(N\)-wave interactions related to low-rank simple Lie algebras. I: \(\mathbb Z_2\)-reductions. Zbl 1001.37074
Gerdjikov, V. S.; Grahovski, G. G.; Kostov, N. A.
12
2001
Solutions of multi-component NLS models and spinor Bose-Einstein condensates. Zbl 1167.82326
Gerdjikov, V. S.; Kostov, N. A.; Valchev, T. I.
10
2009
Multicomponent NLS-type equations on symmetric spaces and their reductions. Zbl 1178.35347
Gerdjikov, V. S.; Grahovski, G. G.; Kostov, N. A.
10
2005
Quasiperiodic and periodic solutions for vector nonlinear Schrödinger equations. Zbl 0973.35175
Eilbeck, J. C.; Enolskii, V. Z.; Kostov, N. A.
9
2000
Alternate quantizations of the discrete self-trapping dimer. Zbl 1063.81605
Ènol’skiĭ, V. Z.; Salerno, M.; Kostov, N. A.; Scott, A. C.
8
1991
Two-component Bose-Einstein condensates in optical lattices. Zbl 1099.35529
Kostov, N. A.; Gerdjikov, V. S.; Enol’skii, V. Z.; Salerno, M.; Konotop, V. V.
6
2004
Spectral characteristics of elliptic solitons. Zbl 0818.35097
Kostov, N. A.; Énol’skij, V. Z.
6
1993
Generalized perturbed complex Toda chain for Manakov system and exact solutions of Bose-Einstein mixtures. Zbl 1251.35147
Gerdjikov, V. S.; Kostov, N. A.; Doktorov, E. V.; Matsuka, N. P.
5
2009
On classification of soliton solutions of multicomponent nonlinear evolution equations. Zbl 1143.37048
Gerdjikov, V. S.; Kaup, D. J.; Kostov, N. A.; Valchev, T. I.
4
2008
Computer algebra in the theory of ordinary differential equations of Halphen type. Zbl 0685.68036
Gerdt, V. P.; Kostov, N. A.
3
1989
On multicomponent MKdV equations on symmetric spaces of DIII-type and their reductions. Zbl 1193.35184
Gerdjikov, Vladimir S.; Kostov, Nikolay A.
3
2008
Fordy-Kulish model and spinor Bose-Einstein condensate. Zbl 1163.82006
Atanasov, V. A.; Gerdjikov, V. S.; Grahovski, G. G.; Kostov, N. A.
3
2008
The Manakov system as two moving interacting curves. Zbl 1142.35086
Kostov, N. A.; Dandoloff, R.; Gerdjikov, V. S.; Grahovski, G. G.
3
2007
Exact solutions for equations of Bose-Fermi mixtures in one-dimensional optical lattice. Zbl 1139.82316
Kostov, Nikolay A.; Gerdjikov, Vladimir S.; Valchev, Tihomir I.
3
2007
\(N\)-wave type systems and their gauge equivalent related to the orthogonal algebras. Zbl 1219.37051
Gerdjikov, Vladimir; Grahovski, Georgi; Kostov, Nikolay
3
2002
On the multi-component NLS type equations on symmetric spaces: reductions and soliton solutions. Zbl 1079.53075
Grahovski, Georgi G.; Gerdjikov, Vladimir S.; Kostov, Nikolay A.
3
2005
Exact solutions for a class of integrable Hénon-Heiles-type systems. Zbl 1309.70014
Kostov, N. A.; Gerdjikov, V. S.; Mioc, V.
2
2010
\(N\)-wave equations with orthogonal algebras: \(\mathbb Z_2\) and \(\mathbb Z_2\times\mathbb Z_2\) reductions and soliton solutions. Zbl 1134.37028
Gerdjikov, Vladimir S.; Kostov, Nikolay A.; Valchev, Tihomir I.
2
2007
New Lax pair for restricted multiple three wave interaction system, quasiperiodic solutions and bi-Hamiltonian structure. Zbl 1229.37094
Kostov, N. A.; Tsiganov, A. V.
2
2008
New integrable multi-component NLS type equations on symmetric spaces: \(\mathbb Z_4\) and \(\mathbb Z_6\) reductions. Zbl 1101.35070
Grahovski, Georgi G.; Gerdjikov, Vladimir S.; Kostov, Nikolay A.; Atanasov, Victor A.
2
2006
Bose-Einstein condensates and multi-component NLS models on symmetric spaces of BD. I-type. Expansions over squared solutions. Zbl 1218.37100
Gerdjikov, V. S.; Kaup, D. J.; Kostov, N. A.; Valchev, T. I.
1
2011
Differential resultant, computer algebra and completely integrable dynamical systems. Zbl 1202.65167
Kostova, Zoia; Kostov, Nikolay; Gerdjikov, Vladimir
1
2010
Soliton equations with deep reductions. Generalized Fourier transforms. Zbl 1180.35444
Gerdjikov, V.; Kostov, N.; Valchev, T.
1
2007
Exact solutions of completely integrable systems and linear ODE’s having elliptic function coefficients. Zbl 1141.68702
Kostov, N. A.; Kostova, Z. T.
1
2007
Reductions of multicomponent mKdV equations on symmetric spaces of DIII-type. Zbl 1157.37335
Gerdjikov, Vladimir S.; Kostov, Nikolay A.
1
2008
Space-time VMS computation of wind-turbine rotor and tower aerodynamics. Zbl 1398.76129
Takizawa, Kenji; Tezduyar, Tayfun E.; Mcintyre, Spenser; Kostov, Nikolay; Kolesar, Ryan; Habluetzel, Casey
78
2014
Engineering analysis and design with ALE-VMS and space-time methods. Zbl 1348.74104
Takizawa, Kenji; Bazilevs, Yuri; Tezduyar, Tayfun E.; Hsu, Ming-Chen; Øiseth, Ole; Mathisen, Kjell M.; Kostov, Nikolay; McIntyre, Spenser
69
2014
Aerodynamic and FSI analysis of wind turbines with the ALE-VMS and ST-VMS methods. Zbl 1348.74095
Bazilevs, Yuri; Takizawa, Kenji; Tezduyar, Tayfun E.; Hsu, Ming-Chen; Kostov, Nikolay; McIntyre, Spenser
66
2014
Patient-specific computational analysis of the influence of a stent on the unsteady flow in cerebral aneurysms. Zbl 1366.76106
Takizawa, Kenji; Schjodt, Kathleen; Puntel, Anthony; Kostov, Nikolay; Tezduyar, Tayfun E.
64
2013
Fluid-structure interaction modeling of clusters of spacecraft parachutes with modified geometric porosity. Zbl 1398.74097
Takizawa, Kenji; Tezduyar, Tayfun E.; Boben, Joseph; Kostov, Nikolay; Boswell, Cody; Buscher, Austin
54
2013
Computer modeling techniques for flapping-wing aerodynamics of a locust. Zbl 1290.76170
Takizawa, Kenji; Henicke, Bradley; Puntel, Anthony; Kostov, Nikolay; Tezduyar, Tayfun E.
51
2013
Space-time techniques for computational aerodynamics modeling of flapping wings of an actual locust. Zbl 1286.76179
Takizawa, Kenji; Henicke, Bradley; Puntel, Anthony; Kostov, Nikolay; Tezduyar, Tayfun E.
77
2012
Space-time computational analysis of bio-inspired flapping-wing aerodynamics of a micro aerial vehicle. Zbl 1286.76180
Takizawa, Kenji; Kostov, Nikolay; Puntel, Anthony; Henicke, Bradley; Tezduyar, Tayfun E.
66
2012
Patient-specific computer modeling of blood flow in cerebral arteries with aneurysm and stent. Zbl 1311.76157
Takizawa, Kenji; Schjodt, Kathleen; Puntel, Anthony; Kostov, Nikolay; Tezduyar, Tayfun E.
55
2012
Bose-Einstein condensates and multi-component NLS models on symmetric spaces of BD. I-type. Expansions over squared solutions. Zbl 1218.37100
Gerdjikov, V. S.; Kaup, D. J.; Kostov, N. A.; Valchev, T. I.
1
2011
Exact solutions for a class of integrable Hénon-Heiles-type systems. Zbl 1309.70014
Kostov, N. A.; Gerdjikov, V. S.; Mioc, V.
2
2010
Differential resultant, computer algebra and completely integrable dynamical systems. Zbl 1202.65167
Kostova, Zoia; Kostov, Nikolay; Gerdjikov, Vladimir
1
2010
Solutions of multi-component NLS models and spinor Bose-Einstein condensates. Zbl 1167.82326
Gerdjikov, V. S.; Kostov, N. A.; Valchev, T. I.
10
2009
Generalized perturbed complex Toda chain for Manakov system and exact solutions of Bose-Einstein mixtures. Zbl 1251.35147
Gerdjikov, V. S.; Kostov, N. A.; Doktorov, E. V.; Matsuka, N. P.
5
2009
On classification of soliton solutions of multicomponent nonlinear evolution equations. Zbl 1143.37048
Gerdjikov, V. S.; Kaup, D. J.; Kostov, N. A.; Valchev, T. I.
4
2008
On multicomponent MKdV equations on symmetric spaces of DIII-type and their reductions. Zbl 1193.35184
Gerdjikov, Vladimir S.; Kostov, Nikolay A.
3
2008
Fordy-Kulish model and spinor Bose-Einstein condensate. Zbl 1163.82006
Atanasov, V. A.; Gerdjikov, V. S.; Grahovski, G. G.; Kostov, N. A.
3
2008
New Lax pair for restricted multiple three wave interaction system, quasiperiodic solutions and bi-Hamiltonian structure. Zbl 1229.37094
Kostov, N. A.; Tsiganov, A. V.
2
2008
Reductions of multicomponent mKdV equations on symmetric spaces of DIII-type. Zbl 1157.37335
Gerdjikov, Vladimir S.; Kostov, Nikolay A.
1
2008
The Manakov system as two moving interacting curves. Zbl 1142.35086
Kostov, N. A.; Dandoloff, R.; Gerdjikov, V. S.; Grahovski, G. G.
3
2007
Exact solutions for equations of Bose-Fermi mixtures in one-dimensional optical lattice. Zbl 1139.82316
Kostov, Nikolay A.; Gerdjikov, Vladimir S.; Valchev, Tihomir I.
3
2007
\(N\)-wave equations with orthogonal algebras: \(\mathbb Z_2\) and \(\mathbb Z_2\times\mathbb Z_2\) reductions and soliton solutions. Zbl 1134.37028
Gerdjikov, Vladimir S.; Kostov, Nikolay A.; Valchev, Tihomir I.
2
2007
Soliton equations with deep reductions. Generalized Fourier transforms. Zbl 1180.35444
Gerdjikov, V.; Kostov, N.; Valchev, T.
1
2007
Exact solutions of completely integrable systems and linear ODE’s having elliptic function coefficients. Zbl 1141.68702
Kostov, N. A.; Kostova, Z. T.
1
2007
New integrable multi-component NLS type equations on symmetric spaces: \(\mathbb Z_4\) and \(\mathbb Z_6\) reductions. Zbl 1101.35070
Grahovski, Georgi G.; Gerdjikov, Vladimir S.; Kostov, Nikolay A.; Atanasov, Victor A.
2
2006
Multicomponent NLS-type equations on symmetric spaces and their reductions. Zbl 1178.35347
Gerdjikov, V. S.; Grahovski, G. G.; Kostov, N. A.
10
2005
On the multi-component NLS type equations on symmetric spaces: reductions and soliton solutions. Zbl 1079.53075
Grahovski, Georgi G.; Gerdjikov, Vladimir S.; Kostov, Nikolay A.
3
2005
Two-component Bose-Einstein condensates in optical lattices. Zbl 1099.35529
Kostov, N. A.; Gerdjikov, V. S.; Enol’skii, V. Z.; Salerno, M.; Konotop, V. V.
6
2004
\(N\)-wave type systems and their gauge equivalent related to the orthogonal algebras. Zbl 1219.37051
Gerdjikov, Vladimir; Grahovski, Georgi; Kostov, Nikolay
3
2002
\(N\)-wave interactions related to simple Lie algebras. \(\mathbb{Z}_2\)-reductions and soliton solutions. Zbl 0988.35143
Gerdjikov, V. S.; Grahavoski, G. G.; Ivanov, R. I.; Kostov, N. A.
15
2001
Reductions of \(N\)-wave interactions related to low-rank simple Lie algebras. I: \(\mathbb Z_2\)-reductions. Zbl 1001.37074
Gerdjikov, V. S.; Grahovski, G. G.; Kostov, N. A.
12
2001
Quasi-periodic and periodic solutions for coupled nonlinear Schrödinger equations of Manakov type. Zbl 0965.35157
Christiansen, P. L.; Eilbeck, J. C.; Enolskii, V. Z.; Kostov, N. A.
19
2000
Quasiperiodic and periodic solutions for vector nonlinear Schrödinger equations. Zbl 0973.35175
Eilbeck, J. C.; Enolskii, V. Z.; Kostov, N. A.
9
2000
Quasi-periodic solutions of the coupled nonlinear Schrödinger equations. Zbl 0866.35110
Christiansen, P. L.; Eilbeck, J. C.; Enolskij, V. Z.; Kostov, N. A.
19
1995
On the geometry of elliptic solitons. Zbl 0810.35104
Enol’skii, V. Z.; Kostov, N. A.
14
1994
Spectral characteristics of elliptic solitons. Zbl 0818.35097
Kostov, N. A.; Énol’skij, V. Z.
6
1993
Alternate quantizations of the discrete self-trapping dimer. Zbl 1063.81605
Ènol’skiĭ, V. Z.; Salerno, M.; Kostov, N. A.; Scott, A. C.
8
1991
Quasi-periodic solutions of the integrable dynamical systems related to Hill’s equation. Zbl 0691.58022
Kostov, N. A.
12
1989
Computer algebra in the theory of ordinary differential equations of Halphen type. Zbl 0685.68036
Gerdt, V. P.; Kostov, N. A.
3
1989
all top 5

Cited by 323 Authors

66 Tezduyar, Tayfun E.
65 Takizawa, Kenji
36 Bazilevs, Yuri
18 Kostov, Nikolay A.
17 Gerdzhikov, Vladimir Stefanov
15 Hsu, Ming-Chen
15 Korobenko, Artem
12 Yan, Jinhui
10 Kuraishi, Takashi
9 Otoguro, Yuto
8 Grahovski, Georgi G.
7 Corsini, Alessandro
7 Gesztesy, Fritz
7 Rispoli, Franco
6 Enolskiĭ, Viktor Zelikovich
6 Ivanov, Rossen I.
6 Terahara, Takuya
6 Weikard, Rudi
5 Castorrini, Alessio
5 McIntyre, Spenser
5 Puntel, Anthony
5 Sasaki, Takafumi
5 Tian, Fangbao
5 Todorov, Michail D.
5 Wu, Michael C. H.
5 Xu, Fei
5 Zhou, Ruguang
4 Deng, Xiaowei
4 Helgedagsrud, Tore A.
4 Kamensky, David
4 Kanai, Taro
4 Mathisen, Kjell Magne
4 Rogers, Colin
4 Venturini, Paolo
3 Asada, Shohei
3 Avsar, Reha
3 Benson, David J.
3 Buscher, Austin
3 Fan, Engui
3 Geng, Xianguo
3 Hattori, Hitoshi
3 He, Guoliang
3 Henicke, Bradley
3 Kolesar, Ryan
3 Kyuldjiev, Assen V.
3 Lesfari, Ahmed
3 Marsden, Alison L.
3 Mochizuki, Hiroki
3 Myrzakulov, Ratbay
3 Øiseth, Ole A.
3 Schjodt, Kathleen
3 Skrypnyk, Taras Volodymyrovych
3 Smirnov, Alexander O.
3 Takagi, Hirokazu
3 Wang, Chenglong
3 Xia, Baoqiang
2 Aydinbakar, Levent
2 Bhatt, Varun Dhananjay
2 Boben, Joseph
2 Boswell, Cody
2 Bueno, Jesus
2 Cardillo, Lucio
2 Chow, Kwok Wing
2 Conti, Michele
2 Delibra, Giovanni
2 Ganapathysubramanian, Baskar
2 Gao, Boshun
2 Gohari, S. M. Iman
2 Golshan, Roozbeh
2 Hughes, Thomas J. R.
2 Huynh, Viet Q. H.
2 Konotop, Vladimir V.
2 Kuznetsov, Vadim Borisovich
2 Kwack, Jaehyuk
2 Langer, Ulrich
2 Liu, Gui-Rong
2 Long, Christopher C.
2 Malomed, Boris A.
2 Masud, Arif
2 Matsutani, Shigeki
2 Mei, Sen
2 Mittal, Sanjay
2 Montel, Kenneth
2 Montes, Darren
2 Myrzakul, Akbota
2 Nagaoka, Kenichiro
2 Neumüller, Martin
2 Pérez-García, Víctor Manuel
2 Prinari, Barbara
2 Ravensbergen, M.
2 Reali, Alessandro
2 Sacks, Michael S.
2 Sarkar, Sutanu
2 Suito, Hiroshi
2 Sun, Xiaowei
2 Sze, Daniel
2 Tejada-Martínez, Andrés E.
2 Torii, Ryo
2 Ueda, Takuya
2 Ueda, Yuki
...and 223 more Authors
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Cited in 68 Serials

63 Computational Mechanics
28 Computers and Fluids
17 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
14 Journal of Mathematical Physics
9 Physica D
7 Theoretical and Mathematical Physics
6 Computer Methods in Applied Mechanics and Engineering
6 Wave Motion
4 Applied Mathematics and Computation
4 Studies in Applied Mathematics
4 Journal of Nonlinear Mathematical Physics
3 International Journal of Geometric Methods in Modern Physics
2 Modern Physics Letters B
2 Communications in Mathematical Physics
2 Journal of Mathematical Analysis and Applications
2 Letters in Mathematical Physics
2 Mathematical Notes
2 Nonlinearity
2 Chaos, Solitons and Fractals
2 Acta Mathematica
2 Journal of Computational and Applied Mathematics
2 Acta Applicandae Mathematicae
2 Communications in Nonlinear Science and Numerical Simulation
2 Archives of Computational Methods in Engineering
2 Journal of Physics A: Mathematical and Theoretical
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 International Journal of Theoretical Physics
1 Journal of Computational Physics
1 Journal of Fluid Mechanics
1 Physics Letters. A
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Reviews in Mathematical Physics
1 Journal of Geometry and Physics
1 International Journal for Numerical Methods in Engineering
1 Mathematics and Computers in Simulation
1 Mathematische Zeitschrift
1 Meccanica
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Ricerche di Matematica
1 Transactions of the American Mathematical Society
1 Applied Numerical Mathematics
1 Journal of Symbolic Computation
1 Bulletin of the American Mathematical Society. New Series
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Journal of Nonlinear Science
1 St. Petersburg Mathematical Journal
1 ETNA. Electronic Transactions on Numerical Analysis
1 NoDEA. Nonlinear Differential Equations and Applications
1 Engineering Analysis with Boundary Elements
1 Discrete and Continuous Dynamical Systems
1 Mathematical Problems in Engineering
1 Differential Equations and Dynamical Systems
1 Abstract and Applied Analysis
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 European Journal of Mechanics. B. Fluids
1 Regular and Chaotic Dynamics
1 Acta Mathematica Sinica. English Series
1 Annales Henri Poincaré
1 Advanced Nonlinear Studies
1 Journal of Dynamical Systems and Geometric Theories
1 Journal of Statistical Mechanics: Theory and Experiment
1 Boundary Value Problems
1 International Electronic Journal of Geometry
1 Advances in Mathematical Physics
1 Science China. Mathematics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Journal of Siberian Federal University. Mathematics & Physics

Citations by Year