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## Zhang, Duanzhi

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 Author ID: zhang.duanzhi Published as: Zhang, D.; Zhang, Duanzhi; Zhang, Duan Z.; Zhang, D. Z.; Zhang, DuanZhi
 Documents Indexed: 69 Publications since 1987 Reviewing Activity: 6 Reviews
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#### Co-Authors

 11 single-authored 5 Liu, Chungen 5 Prosperetti, Andrea 4 Ma, Xia 2 Dhakal, Tilak R. 2 Elmasry, Mohamed I. 2 Fan, Zhiping 2 Giguere, Paul T. 2 Long, Christopher C. 2 Rizzo, Frank J. 2 Vanderheyden, W. Brian 1 Bazilevs, Yuri 1 Bramall, D. G. 1 Bronkhorst, Curt A. 1 Chan, Lai-Kow 1 Charnes, Abraham 1 Chien, I. S. 1 Gosselin, Clément M. 1 Gray, George T. III 1 Jayaraman, Balaji 1 Jullien, Graham A. 1 Kamensky, David 1 Liu, Zhongjie 1 Long, Yiming 1 Maropoulos, P. G. 1 Martin, Paul Andrew 1 Miller, William C. 1 Moutsanidis, Georgios 1 Neuman, Shlomo P. 1 Orr, Shepley 1 Paleologos, Evan K. 1 Pan, Lingyun 1 Rogers, B. C. 1 Rudolphi, Thomas J. 1 Sangani, Ashok S. 1 Wang, Chongzhi 1 Wang, Fanjing 1 Whiten, William J. 1 Zhu, Chaofeng 1 Zou, Qisu
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#### Serials

 5 Journal of Computational Physics 5 Discrete and Continuous Dynamical Systems 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Optimization Theory and Applications 3 Science China. Mathematics 2 Acta Mechanica 2 Computers & Mathematics with Applications 2 International Journal of Multiphase Flow 2 Journal of Fluid Mechanics 2 Journal of Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Neural, Parallel & Scientific Computations 2 Stochastic Environmental Research and Risk Assessment 1 Modern Physics Letters A 1 Communications on Pure and Applied Mathematics 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 Journal of Mathematical Analysis and Applications 1 Journal of the Mechanics and Physics of Solids 1 Ukrainian Mathematical Journal 1 Physics of Fluids, A 1 Theoretical and Computational Fluid Dynamics 1 The Mathematical Intelligencer 1 Advances in Mathematics 1 The Australian Mathematical Society Gazette 1 IEEE Transactions on Circuits and Systems 1 Proceedings of the London Mathematical Society. Third Series 1 Journal of Information & Optimization Sciences 1 Acta Mathematica Hungarica 1 International Journal of Production Research 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Computational Mechanics 1 Science in China. Series A 1 Communications in Statistics. Theory and Methods 1 Pokroky Matematiky, Fyziky & Astronomie 1 Calculus of Variations and Partial Differential Equations 1 Physics of Fluids 1 Mathware & Soft Computing 1 PAA. Pattern Analysis and Applications 1 Mechanism and Machine Theory 1 Advanced Nonlinear Studies 1 Iranian Journal of Fuzzy Systems 1 Journal of Fixed Point Theory and Applications
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#### Fields

 16 Ordinary differential equations (34-XX) 16 Dynamical systems and ergodic theory (37-XX) 16 Fluid mechanics (76-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Mechanics of particles and systems (70-XX) 11 Mechanics of deformable solids (74-XX) 8 Computer science (68-XX) 7 Differential geometry (53-XX) 7 Operations research, mathematical programming (90-XX) 3 Convex and discrete geometry (52-XX) 3 Numerical analysis (65-XX) 3 Geophysics (86-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Statistics (62-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

47 Publications have been cited 391 times in 96 Documents Cited by Year
Multiple brake orbits in bounded convex symmetric domains. Zbl 1118.58006
Long, Yiming; Zhang, Duanzhi; Zhu, Chaofeng
2006
Latticized linear programming and fuzzy relation inequalities. Zbl 0746.90081
Wang, P. Z.; Zhang, D. Z.; Sanchez, E.; Lee, E. S.
1991
Averaged equations for inviscid disperse two-phase flow. Zbl 0820.76090
Zhang, D. Z.; Prosperetti, A.
1994
The added mass, Basset, and viscous drag coefficients in nondilute bubbly liquids undergoing small-amplitude oscillatory motion. Zbl 0746.76088
Sangani, A. S.; Zhang, D. Z.; Prosperetti, A.
1991
Stress intensity sensitivities via hypersingular boundary integral equations. Zbl 0967.74075
Zhang, D.; Rizzo, F. J.; Rudolphi, T. J.
1999
Momentum and energy equations for disperse two-phase flows and their closure for dilute suspensions. Zbl 1135.76590
Zhang, D. Z.; Prosperetti, A.
1997
Material point method enhanced by modified gradient of shape function. Zbl 1419.76513
Zhang, Duan Z.; Ma, Xia; Giguere, Paul T.
2011
Iteration theory of $$L$$-index and multiplicity of brake orbits. Zbl 1366.37129
Liu, Chungen; Zhang, Duanzhi
2014
Seifert conjecture in the even convex case. Zbl 1336.37043
Liu, Chungen; Zhang, Duanzhi
2014
Ensemble phase-averaged equations for bubbly flows. Zbl 0836.76094
Zhang, D. Z.; Prosperetti, A.
1994
Material point method applied to multiphase flows. Zbl 1329.76288
Zhang, Duan Z.; Zou, Qisu; VanderHeyden, W. Brian; Ma, Xia
2008
On the asymptotic distributions of some process capability indices. Zbl 0900.62539
Chan, Lai K.; Xiong, Z.; Zhang, D.
1990
$$P$$-cyclic symmetric closed characteristics on compact convex $$P$$-cyclic symmetric hypersurface in $$\mathbb{R}^{2n}$$. Zbl 1270.34105
Zhang, Duanzhi
2013
Marginal analysis for competence set expansion. Zbl 0797.90054
Yu, P. L.; Zhang, D.
1993
Multiple brake orbits on compact convex symmetric reversible hypersurfaces in $$\mathbb{R}^{2 n}$$. Zbl 1300.52006
Zhang, Duanzhi; Liu, Chungen
2014
Brake type closed characteristics on reversible compact convex hypersurfaces in $$\mathbb{R}^{2n}$$. Zbl 1223.37077
Zhang, Duanzhi
2011
Viscoplastic model for geologic materials with generalized flow rule. Zbl 0623.73114
Desai, C. S.; Zhang, D.
1987
Symmetric period solutions with prescribed minimal period for even autonomous semipositive Hamiltonian systems. Zbl 1334.37073
Zhang, Duanzhi
2014
Multiplicity of brake orbits on compact convex symmetric reversible hypersurfaces in $$\mathbf{R}^{2n}$$ for $$n\geq 4$$. Zbl 1282.37029
Zhang, Duanzhi; Liu, Chungen
2013
On the number of P-invariant closed characteristics on partially symmetric compact convex hypersurfaces in $$\mathbb R^{2n}$$. Zbl 1334.52005
Liu, Hui; Zhang, DuanZhi
2015
Maslov-type index and brake orbits in nonlinear Hamiltonian systems. Zbl 1126.37042
Zhang, Duanzhi
2007
The effects of mesoscale structures on the macroscopic momentum equations for two-phase flows. Zbl 1136.76693
Zhang, Duan Z.; Vanderheyden, W. Brian
2002
A generalised K-L expansion method which can deal with small sample size and high-dimensional problems. Zbl 1035.68109
Yang, J.; Zhang, D.; Yang, J. -Y.
2003
Relative Morse index and multiple brake orbits of asymptotically linear Hamiltonian systems in the presence of symmetries. Zbl 1152.58007
Zhang, Duanzhi
2008
Multiple symmetric brake orbits in bounded convex symmetric domains. Zbl 1115.37057
Zhang, Duanzhi
2006
Kinetostatic modeling of parallel mechanisms with a passive constraining leg and revolute actuators. Zbl 1140.70373
Zhang, D.; Gosselin, C. M.
2002
Statistics of particle interactions in dense granular material under uniaxial compression. Zbl 1120.74409
Ma, Xia; Zhang, Duan Z.
2006
Stable P-symmetric closed characteristics on partially symmetric compact convex hypersurfaces. Zbl 1358.37105
Zhang, Duanzhi; Liu, Hui
2016
Material point methods applied to one-dimensional shock waves and dual domain material point method with sub-points. Zbl 1375.76082
Dhakal, Tilak R.; Zhang, Duan Z.
2016
Minimal period problems for brake orbits of nonlinear autonomous reversible semipositive Hamiltonian systems. Zbl 1320.37030
Zhang, Duanzhi
2015
Forum: the state of stochastic hydrology. Zbl 1145.76455
Zhang, Y.-K.; Zhang, D.
2004
Distribution coefficient algorithm for small mass nodes in material point method. Zbl 1425.76188
Ma, Xia; Giguere, Paul T.; Jayaraman, Balaji; Zhang, Duan Z.
2010
Exact Green’s functions and the boundary element method. Zbl 0839.65124
Rizzo, F. J.; Martin, P. A.; Pan, L.; Zhang, D.
1995
C. N. Yang and contemporary mathematics. Zbl 0786.01011
Zhang, D. Z.
1993
State-dependent weights in multicriteria value functions. Zbl 0795.90058
Zhang, D.; Yu, P. L.; Wang, P. Z.
1992
Representing ductile damage with the dual domain material point method. Zbl 1425.74351
Long, C. C.; Zhang, D. Z.; Bronkhorst, C. A.; Gray, G. T. III
2016
Combining dual domain material point method with molecular dynamics for thermodynamic nonequilibriums. Zbl 1416.74105
Dhakal, Tilak R.; Zhang, Duan Z.
2018
Finite-particle-size effects in disperse two-phase flows. Zbl 0857.76089
Prosperetti, A.; Zhang, D. Z.
1995
Parallel biometrics computing in a distributed environment with applications to personal identification for network security. Zbl 0981.68692
You, J.; Cao, J.; Zhang, D.
2000
An instability mechanism for the sliding motion of finite depth of bulk granular materials. Zbl 0879.76033
Zhang, D.; Foda, M. A.
1997
Generating new designs using union operations. Zbl 0802.90044
Shi, Y.; Yu, P.-L.; Zhang, D.
1994
Multiple brake orbits on convex hypersurfaces under asymmetric pinch conditions. Zbl 1135.37326
Zhang, Duanzhi
2005
Some properties of multivalent functions associated with a certain operator. Zbl 1345.30013
He, P.; Zhang, D.
2014
Zero density estimates for automorphic $$L$$-functions of $$\mathrm{GL}_m$$. Zbl 1363.11068
Dong, L. L.; Liu, H. F.; Zhang, D.
2016
A numerical method of moments for solute transport in physically and chemically nonstationary formations: linear equilibrium sorption with random $$K_d$$. Zbl 1145.86302
Hu, B. X.; Wu, J.; Zhang, D.
2004
Elliptic and non-hyperbolic closed characteristics on compact convex P-cyclic symmetric hypersurfaces in $$\mathbb{R}^{2n}$$. Zbl 1431.58007
Liu, Hui; Wang, Chongzhi; Zhang, Duanzhi
2020
Modeling strong discontinuities in the material point method using a single velocity field. Zbl 1440.74032
Moutsanidis, Georgios; Kamensky, David; Zhang, Duan Z.; Bazilevs, Yuri; Long, Christopher C.
2019
Elliptic and non-hyperbolic closed characteristics on compact convex P-cyclic symmetric hypersurfaces in $$\mathbb{R}^{2n}$$. Zbl 1431.58007
Liu, Hui; Wang, Chongzhi; Zhang, Duanzhi
2020
Modeling strong discontinuities in the material point method using a single velocity field. Zbl 1440.74032
Moutsanidis, Georgios; Kamensky, David; Zhang, Duan Z.; Bazilevs, Yuri; Long, Christopher C.
2019
Combining dual domain material point method with molecular dynamics for thermodynamic nonequilibriums. Zbl 1416.74105
Dhakal, Tilak R.; Zhang, Duan Z.
2018
Stable P-symmetric closed characteristics on partially symmetric compact convex hypersurfaces. Zbl 1358.37105
Zhang, Duanzhi; Liu, Hui
2016
Material point methods applied to one-dimensional shock waves and dual domain material point method with sub-points. Zbl 1375.76082
Dhakal, Tilak R.; Zhang, Duan Z.
2016
Representing ductile damage with the dual domain material point method. Zbl 1425.74351
Long, C. C.; Zhang, D. Z.; Bronkhorst, C. A.; Gray, G. T. III
2016
Zero density estimates for automorphic $$L$$-functions of $$\mathrm{GL}_m$$. Zbl 1363.11068
Dong, L. L.; Liu, H. F.; Zhang, D.
2016
On the number of P-invariant closed characteristics on partially symmetric compact convex hypersurfaces in $$\mathbb R^{2n}$$. Zbl 1334.52005
Liu, Hui; Zhang, DuanZhi
2015
Minimal period problems for brake orbits of nonlinear autonomous reversible semipositive Hamiltonian systems. Zbl 1320.37030
Zhang, Duanzhi
2015
Iteration theory of $$L$$-index and multiplicity of brake orbits. Zbl 1366.37129
Liu, Chungen; Zhang, Duanzhi
2014
Seifert conjecture in the even convex case. Zbl 1336.37043
Liu, Chungen; Zhang, Duanzhi
2014
Multiple brake orbits on compact convex symmetric reversible hypersurfaces in $$\mathbb{R}^{2 n}$$. Zbl 1300.52006
Zhang, Duanzhi; Liu, Chungen
2014
Symmetric period solutions with prescribed minimal period for even autonomous semipositive Hamiltonian systems. Zbl 1334.37073
Zhang, Duanzhi
2014
Some properties of multivalent functions associated with a certain operator. Zbl 1345.30013
He, P.; Zhang, D.
2014
$$P$$-cyclic symmetric closed characteristics on compact convex $$P$$-cyclic symmetric hypersurface in $$\mathbb{R}^{2n}$$. Zbl 1270.34105
Zhang, Duanzhi
2013
Multiplicity of brake orbits on compact convex symmetric reversible hypersurfaces in $$\mathbf{R}^{2n}$$ for $$n\geq 4$$. Zbl 1282.37029
Zhang, Duanzhi; Liu, Chungen
2013
Material point method enhanced by modified gradient of shape function. Zbl 1419.76513
Zhang, Duan Z.; Ma, Xia; Giguere, Paul T.
2011
Brake type closed characteristics on reversible compact convex hypersurfaces in $$\mathbb{R}^{2n}$$. Zbl 1223.37077
Zhang, Duanzhi
2011
Distribution coefficient algorithm for small mass nodes in material point method. Zbl 1425.76188
Ma, Xia; Giguere, Paul T.; Jayaraman, Balaji; Zhang, Duan Z.
2010
Material point method applied to multiphase flows. Zbl 1329.76288
Zhang, Duan Z.; Zou, Qisu; VanderHeyden, W. Brian; Ma, Xia
2008
Relative Morse index and multiple brake orbits of asymptotically linear Hamiltonian systems in the presence of symmetries. Zbl 1152.58007
Zhang, Duanzhi
2008
Maslov-type index and brake orbits in nonlinear Hamiltonian systems. Zbl 1126.37042
Zhang, Duanzhi
2007
Multiple brake orbits in bounded convex symmetric domains. Zbl 1118.58006
Long, Yiming; Zhang, Duanzhi; Zhu, Chaofeng
2006
Multiple symmetric brake orbits in bounded convex symmetric domains. Zbl 1115.37057
Zhang, Duanzhi
2006
Statistics of particle interactions in dense granular material under uniaxial compression. Zbl 1120.74409
Ma, Xia; Zhang, Duan Z.
2006
Multiple brake orbits on convex hypersurfaces under asymmetric pinch conditions. Zbl 1135.37326
Zhang, Duanzhi
2005
Forum: the state of stochastic hydrology. Zbl 1145.76455
Zhang, Y.-K.; Zhang, D.
2004
A numerical method of moments for solute transport in physically and chemically nonstationary formations: linear equilibrium sorption with random $$K_d$$. Zbl 1145.86302
Hu, B. X.; Wu, J.; Zhang, D.
2004
A generalised K-L expansion method which can deal with small sample size and high-dimensional problems. Zbl 1035.68109
Yang, J.; Zhang, D.; Yang, J. -Y.
2003
The effects of mesoscale structures on the macroscopic momentum equations for two-phase flows. Zbl 1136.76693
Zhang, Duan Z.; Vanderheyden, W. Brian
2002
Kinetostatic modeling of parallel mechanisms with a passive constraining leg and revolute actuators. Zbl 1140.70373
Zhang, D.; Gosselin, C. M.
2002
Parallel biometrics computing in a distributed environment with applications to personal identification for network security. Zbl 0981.68692
You, J.; Cao, J.; Zhang, D.
2000
Stress intensity sensitivities via hypersingular boundary integral equations. Zbl 0967.74075
Zhang, D.; Rizzo, F. J.; Rudolphi, T. J.
1999
Momentum and energy equations for disperse two-phase flows and their closure for dilute suspensions. Zbl 1135.76590
Zhang, D. Z.; Prosperetti, A.
1997
An instability mechanism for the sliding motion of finite depth of bulk granular materials. Zbl 0879.76033
Zhang, D.; Foda, M. A.
1997
Exact Green’s functions and the boundary element method. Zbl 0839.65124
Rizzo, F. J.; Martin, P. A.; Pan, L.; Zhang, D.
1995
Finite-particle-size effects in disperse two-phase flows. Zbl 0857.76089
Prosperetti, A.; Zhang, D. Z.
1995
Averaged equations for inviscid disperse two-phase flow. Zbl 0820.76090
Zhang, D. Z.; Prosperetti, A.
1994
Ensemble phase-averaged equations for bubbly flows. Zbl 0836.76094
Zhang, D. Z.; Prosperetti, A.
1994
Generating new designs using union operations. Zbl 0802.90044
Shi, Y.; Yu, P.-L.; Zhang, D.
1994
Marginal analysis for competence set expansion. Zbl 0797.90054
Yu, P. L.; Zhang, D.
1993
C. N. Yang and contemporary mathematics. Zbl 0786.01011
Zhang, D. Z.
1993
State-dependent weights in multicriteria value functions. Zbl 0795.90058
Zhang, D.; Yu, P. L.; Wang, P. Z.
1992
Latticized linear programming and fuzzy relation inequalities. Zbl 0746.90081
Wang, P. Z.; Zhang, D. Z.; Sanchez, E.; Lee, E. S.
1991
The added mass, Basset, and viscous drag coefficients in nondilute bubbly liquids undergoing small-amplitude oscillatory motion. Zbl 0746.76088
Sangani, A. S.; Zhang, D. Z.; Prosperetti, A.
1991
On the asymptotic distributions of some process capability indices. Zbl 0900.62539
Chan, Lai K.; Xiong, Z.; Zhang, D.
1990
Viscoplastic model for geologic materials with generalized flow rule. Zbl 0623.73114
Desai, C. S.; Zhang, D.
1987
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#### Cited by 126 Authors

 20 Zhang, Duanzhi 11 Liu, Chungen 7 Giambò, Roberto 7 Giannoni, Fabio 7 Piccione, Paolo 4 Chen, Zhen 4 Hu, Xijun 4 Li, Chong 4 Wu, Li 4 Zhang, Xiaofei 4 Zhang, Xiong 3 De Wilde, Juray 3 Zhang, Hongwu 3 Zhu, Chaofeng 2 Dhakal, Tilak R. 2 Fan, Zhiping 2 Giguere, Paul T. 2 Kan, Xingyu 2 Kang, Jungsoo 2 Li, Shaofan 2 Li, Yong 2 Long, Christopher C. 2 Long, Yiming 2 Lu, Guangcun 2 Ma, Xia 2 Shan, Yuan 2 Souissi, Chouhaïd 2 Xing, Jiamin 2 Yan, Jiale 2 Yang, Xue 2 Zhang, Aman 2 Zheng, Yonggang 2 Zhu, Gaosheng 1 An, Tianqing 1 Augarde, Charles Edward 1 Bai, Yang 1 Bazilevs, Yuri 1 Brennan, Andrew J. 1 Bronkhorst, Curt A. 1 Brown, Michael J. 1 Cao, Manqian 1 Carbonell, Josep Maria 1 Charlton, Tim J. 1 Chen, Yingying 1 Chen, Zhenpeng 1 Cheon, Young-Jo 1 Coombs, William M. 1 de Vaucorbeil, Alban 1 Dong, Chunying 1 Duan, Huagui 1 Dunatunga, Sachith 1 Ellis, Andrew S. 1 Fan, Jiang 1 Fan, Zongyue 1 Frauenfelder, Urs Adrian 1 Fusco, Giorgio 1 Gan, Yong 1 Ghaffari Motlagh, Yousef 1 Gray, George T. III 1 Gronchi, Giovanni-Federico 1 Guo, Fei 1 Guodong, Liu 1 Hamamoto, Yoshihiko 1 Heynderickx, Geraldine J. 1 Hong, Kun 1 Hu, Tingting 1 Huang, Lu 1 Huilin, Lu 1 Hutchinson, Christopher R. 1 Jayaraman, Balaji 1 Jiang, Shan 1 Jianmin, Gao 1 Kamrin, Ken 1 Kan, Lei 1 Keshavarz, Sh. 1 Khaloo, A. R. 1 Khoei, Amir R. 1 Kim, Hyun-Gyu 1 Knappett, Jonathan A. 1 Lai, Xin 1 Li, Chun 1 Li, Xiaobai 1 Lian, Yanping 1 Liang, Yong 1 Liao, Huming 1 Liu, Baoqing 1 Liu, Sai 1 Lu, Mengkai 1 Marin, Guy B. 1 Molinos, Miguel 1 Moutsanidis, Georgios 1 Navas, Pedro 1 Nguyen, Vinh Phu 1 Novaga, Matteo 1 Oñate Ibáñez de Navarra, Eugenio 1 Ou, Yuwei 1 Ou, Zengqi 1 Pastor, Manuel 1 Pengfei, Xu 1 Portaluri, Alessandro ...and 26 more Authors
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#### Cited in 40 Serials

 17 Computer Methods in Applied Mechanics and Engineering 6 Journal of Computational Physics 6 Discrete and Continuous Dynamical Systems 5 Journal of Differential Equations 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Calculus of Variations and Partial Differential Equations 4 Frontiers of Mathematics in China 4 Science China. Mathematics 3 Chinese Annals of Mathematics. Series B 3 Applied Mathematical Modelling 3 Acta Mathematica Sinica. English Series 3 Journal of Fixed Point Theory and Applications 2 Computers and Fluids 2 Communications in Mathematical Physics 2 Applied Mathematics Letters 2 Physics of Fluids 2 Advanced Nonlinear Studies 1 Communications on Pure and Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Archiv der Mathematik 1 Journal of Functional Analysis 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Optimization 1 Computational Mechanics 1 Science in China. Series A 1 Topological Methods in Nonlinear Analysis 1 Georgian Mathematical Journal 1 Engineering Analysis with Boundary Elements 1 Mathematical Problems in Engineering 1 Positivity 1 Communications in Contemporary Mathematics 1 Journal of Applied Mathematics 1 International Journal of Computational Methods 1 Minimax Theory and its Applications 1 Electronic Research Archive
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#### Cited in 15 Fields

 42 Dynamical systems and ergodic theory (37-XX) 30 Global analysis, analysis on manifolds (58-XX) 24 Ordinary differential equations (34-XX) 24 Mechanics of particles and systems (70-XX) 21 Mechanics of deformable solids (74-XX) 19 Fluid mechanics (76-XX) 18 Differential geometry (53-XX) 15 Numerical analysis (65-XX) 5 Convex and discrete geometry (52-XX) 2 Partial differential equations (35-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Algebraic geometry (14-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Operations research, mathematical programming (90-XX)