# zbMATH — the first resource for mathematics

## Chen, Goong

Compute Distance To:
 Author ID: chen.goong Published as: Chen, G.; Chen, Goong
 Documents Indexed: 155 Publications since 1973, including 12 Books
all top 5

#### Co-Authors

 8 single-authored 33 Zhou, Jianxin 14 Hsu, Szebi 11 Ding, Zhonghai 9 Coleman, Matthew P. 8 Huang, Tingwen 7 Huang, Yu 7 Morris, Philip J. 7 Zhang, Zhigang 6 Ni, Wei-Ming 4 Belić, Milivoj R. 4 Diao, Zijian 4 Fulling, Stephen A. 4 Grimmer, Ronald 4 Ma, Daowei 4 Mills, Wendell H. jun. 4 Scully, Marlan Orvil 4 Sun, Shunhua 4 Yao, Pengfei 3 Bridges, Thomas J. 3 Deng, Yuanhua 3 Feng, Zhaosheng 3 Krantz, Steven George 3 Perronnet, Alain 3 Sergeev, Alexey V. 3 Wang, Hankun 3 Xie, Ruihua 3 Zheng, Liancun 3 Zheng, Quan 2 Aron, Richard M. 2 Bin-Mohsin, Bandar 2 Crosta, Giovanni F. 2 Englert, Berthold-Georg 2 Hajaiej, Hichem 2 Huang, Falun 2 Li, Liangliang 2 Lin, Chang-Shou 2 Lin, Taichia 2 Liu, Kangsheng 2 Luo, Zhendong 2 Millman, Richard S. 2 Munao, Simone 2 Narcowich, Francis J. 2 Paterson, Eric G. 2 Petrović, Milan S. 2 Ramakrishna, Viswanath 2 Roque-Sol, Marco A. 2 Sun, Bo 2 Tian, Jing 2 Wang, Yi-Ching 2 West, Harry H. 2 Yang, Fengyan 2 Yang, Zhengping 2 Zhang, Xinxin 2 Zhong, Weiping 1 Aronov, Irina 1 Bardos, Claude Williams 1 Bhat, Thonse R. S. 1 Bowden, Charles M. 1 Brylinski, Ranee Kathryn 1 Cai, Mingchao 1 Cao, Xiaomin 1 Chen, Chiang-Pu 1 Chen, Guanrong 1 Chen, Jeesen 1 Chen, Jianhua 1 Church, David A. 1 Costa, David Goldstein 1 Dai, Xiongping 1 Delfour, Michel Claude 1 Gu, Cong 1 Hemmer, Philip R. 1 Henkel, Carsten 1 Herschbach, Dudley 1 Hsu, Shih-Hsun 1 Hu, Chia-Ren 1 Ji, Link 1 Ji, Shaochun 1 Jiang, Weisheng 1 Juang, Jonq 1 Kauffman, Louis Hirsch 1 Kim, Jong Uhn 1 Kim, Moochan B. 1 Klappenecker, Andreas 1 Krall, Allan M. 1 Laane, Jaan 1 Lasiecka, Irena 1 Lee, E. Bruce 1 Li, Chuandong 1 Li, Chunrui 1 Li, Shengjia 1 Li, Shujie 1 Lin, Chinyuan 1 Lin, Ping 1 Littman, Walter 1 Liu, Chunyan 1 Liu, Fawang 1 Liu, Yuxiang 1 Lomonaco, Samuel J. jun. 1 Lu, Liqing 1 Lu, Wenying ...and 33 more Co-Authors
all top 5

#### Serials

 13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 11 SIAM Journal on Control and Optimization 7 Journal of Mathematical Analysis and Applications 7 SIAM Journal on Applied Mathematics 6 Journal of Mathematical Physics 4 Journal of Sound and Vibration 4 Notices of the American Mathematical Society 3 Wave Motion 3 Mathematics of Computation 2 International Journal of Engineering Science 2 Funkcialaj Ekvacioj. Serio Internacia 2 Journal of Computational and Applied Mathematics 2 Optimal Control Applications & Methods 2 Journal of Computational Mathematics 2 Communications in Nonlinear Science and Numerical Simulation 2 Discrete and Continuous Dynamical Systems. Series B 2 Lecture Notes in Pure and Applied Mathematics 2 Communications in Theoretical Physics 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Chaos, Solitons and Fractals 1 Canadian Mathematical Bulletin 1 Journal of Differential Equations 1 Transactions of the American Mathematical Society 1 Journal of Integral Equations 1 Systems & Control Letters 1 Asymptotic Analysis 1 MCSS. Mathematics of Control, Signals, and Systems 1 Applied Mathematical Modelling 1 Bulletin of the Institute of Mathematics. Academia Sinica 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Review 1 Calculus of Variations and Partial Differential Equations 1 Discrete and Continuous Dynamical Systems 1 The Journal of Fourier Analysis and Applications 1 Journal of Mathematical Chemistry 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Communications on Pure and Applied Analysis 1 International Journal of Quantum Information 1 Mathematics in Science and Engineering 1 Atlantis Studies in Mathematics for Engineering and Science 1 Synthesis Lectures on Mathematics and Statistics 1 Nonlinear Analysis. Theory, Methods & Applications
all top 5

#### Fields

 63 Partial differential equations (35-XX) 38 Systems theory; control (93-XX) 28 Mechanics of deformable solids (74-XX) 27 Numerical analysis (65-XX) 19 Quantum theory (81-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Ordinary differential equations (34-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Fluid mechanics (76-XX) 7 Integral equations (45-XX) 7 Operator theory (47-XX) 6 General and overarching topics; collections (00-XX) 6 Optics, electromagnetic theory (78-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of particles and systems (70-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Computer science (68-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Measure and integration (28-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

110 Publications have been cited 1,490 times in 1,111 Documents Cited by Year
Boundary element methods. Zbl 0842.65071
Chen, Goong; Zhou, Jianxin
1992
Modeling, stabilization and control of serially connected beams. Zbl 0621.93053
Chen, Goong; Delfour, M. C.; Krall, A. M.; Payre, G.
1987
Diagonal convexity conditions for problems in convex analysis and quasi-variational inequalities. Zbl 0649.49008
Zhou, Jian Xin; Chen, Goong
1988
Energie decay estimates and exact boundary value controllability for the wave equation in a bounded domain. Zbl 0414.35044
Chen, Goong
1979
A mathematical model for linear elastic systems with structural damping. Zbl 0515.73033
Chen, G.; Russell, D. L.
1982
Snapback repellers as a cause of chaotic vibration of the wave equation with a van der Pol boundary condition and energy injection at the middle of the span. Zbl 0959.37027
Chen, Goong; Hsu, Sze-Bi; Zhou, Jianxin
1998
Algorithms and visualization for solutions of nonlinear elliptic equations. Zbl 1090.65549
Chen, Goong; Zhou, Jianxin; Ni, Wei-Ming
2000
Exponential decay of energy of evolution equations with locally distributed damping. Zbl 0734.35009
Chen, G.; Fulling, S. A.; Narcowich, F. J.; Sun, S.
1991
Control and stabilization for the wave equation in a bounded domain. Zbl 0402.93016
Chen, Goong
1979
A note on the boundary stabilization of the wave equation. Zbl 0461.93036
Chen, Goong
1981
A high-linking algorithm for sign-changing solutions of semilinear elliptic equations. Zbl 0941.35023
Ding, Zhonghai; Costa, David; Chen, Goong
1999
Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. II: Energy injection, period doubling and homoclinic orbits. Zbl 0938.35088
Chen, Goong; Hsu, Sze-Bi; Zhou, Jianxin
1998
Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. I: Controlled hysteresis (with Appendix by Guanrong Chen and Giovanni Crosta). Zbl 0916.35065
Chen, Goong; Hsu, Sze-Bi; Zhou, Jianxin
1998
Semigroups and integral equations. Zbl 0449.45007
Chen, Goong; Grimmer, Ronald
1980
Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. III: Natural hysteresis memory effects. Zbl 0938.35089
Chen, Goong; Hsu, Sze-Bi; Zhou, Jianxin
1998
Control and stabilization for the wave equation in a bounded domain. II. Zbl 0461.93037
Chen, Goong
1981
Chaotic behavior of interval maps and total variations of iterates. Zbl 1077.37510
Chen, Goong; Huang, Tingwen; Huang, Yu
2004
Nonisotropic spatiotemporal chaotic vibration of the wave equation due to mixing energy transport and a van der Pol boundary condition. Zbl 1044.37019
Chen, Goong; Hsu, Sze-Bi; Zhou, Jianxin
2002
Stability of Cohen-Grossberg neural networks with unbounded distributed delays. Zbl 1137.34351
Huang, Tingwen; Li, Chuandong; Chen, Goong
2007
Exponential stability analysis of a long chain of coupled vibrating strings with dissipative linkage. Zbl 0685.93054
Liu, Kang-Sheng; Huang, Fa-Lun; Chen, Goong
1989
Analysis, designs, and behaviour of dissipative joints for coupled beams. Zbl 0685.73046
Chen, G.; Krantz, S. G.; Russel, D. L.; Wayne, C. E.; West, H. H.; Coleman, M. P.
1989
Pointwise stabilization in the middle of the span for second order systems, nonuniform and uniform exponential decay of solutions. Zbl 0641.93047
Chen, Goong; Coleman, Matthew; West, Harry H.
1987
Control and stabilization for the wave equation. III: Domain with moving boundary. Zbl 0461.93038
Bardos, Claude; Chen, Goong
1981
Boundary element monotone iteration scheme for semilinear elliptic partial differential equations. Zbl 0864.65071
Deng, Yuanhua; Chen, Goong; Ni, Wei-Ming; Zhou, Jianxin
1996
The wave propagation method for the analysis of boundary stabilization in vibrating structures. Zbl 0712.73069
Chen, Goong; Zhou, Jianxin
1990
Mathematics of quantum computation. Zbl 1077.81018
Chen, Goong (ed.); Brylinski, Ranee K. (ed.)
2002
Linear stochastic control systems. Zbl 0860.93001
Chen, Guanrong; Chen, Goong; Hsu, Shih-Hsun
1995
Integral equations as evolution equations. Zbl 0449.45008
Chen, Goong; Grimmer, Ronald
1982
Analyzing displacement term’s memory effect in a van der Pol type boundary condition to prove chaotic vibration of the wave equation. Zbl 1042.35032
Chen, Goong; Hsu, Sze-Bi; Huang, Tingwen
2002
Vibration and damping in distributed systems. Vol. 2: WKB and wave methods, visualization and experimentation. Zbl 0852.73002
Chen, Goong; Zhou, Jianxin
1993
MHD flow and radiation heat transfer of nanofluids in porous media with variable surface heat flux and chemical reaction. Zbl 1428.76240
Zhang, Chaoli; Zheng, Liancun; Zhang, Xinxin; Chen, Goong
2015
Chaotic maps. Dynamics, fractals, and rapid fluctuations. Zbl 1237.37001
Chen, Goong; Huang, Yu.
2011
A separation principle for dynamical delayed output feedback control of chaos. Zbl 0985.37049
Tian, Y.-P.; Chen, G.
2001
Concentration problems for bandpass filters in communication theory over disjoint frequency intervals and numerical solutions. Zbl 1252.94005
SenGupta, Indranil; Sun, Bo; Jiang, Weisheng; Chen, Goong; Mariani, Maria C.
2012
Traveling wave solutions in parametric forms for a diffusion model with a nonlinear rate of growth. Zbl 1360.34100
Feng, Zhaosheng; Chen, Goong
2009
Quantum computing devices. Principles, designs, and analysis. Zbl 1119.81004
Chen, Goong; Church, David A.; Englert, Berthold-Georg; Henkel, Carsten; Rohwedder, Bernd; Scully, Marlan O.; Zubairy, M. Suhail
2007
A note on the elliptic sine-Gordon equation. Zbl 1208.35030
Chen, Goong; Ding, Zhonghai; Hu, Chia-Ren; Ni, Wei-Ming; Zhou, Jianxin
2004
Visualization of special eigenmode shapes of a vibrating elliptical membrane. Zbl 0806.73032
Chen, Goong; Morris, Philip J.; Zhou, Jianxin
1994
Asymptotic behaviour of solutions of the one-dimensional wave equation with a nonlinear boundary stabilizer. Zbl 0682.93042
Wang, Han-Kun; Chen, Goong
1989
Ground states of nonlinear Schrödinger systems with saturable nonlinearity in $$\mathbb{R}^2$$ for two counterpropagating beams. Zbl 1290.78016
Lin, Tai-Chia; Belić, Milivoj R.; Petrović, Milan S.; Chen, Goong
2014
Rapid fluctuations of chaotic maps on $$\mathbb {R}^N$$. Zbl 1102.37010
Huang, Yu; Chen, Goong; Ma, Daowei
2006
Unbounded growth of total variations of snapshots of the 1D linear wave equation due to the chaotic behavior of iterates of composite nonlinear boundary reflection relations. Zbl 0981.35033
Chen, Goong; Huang, Tingwen; Juang, Jonq; Ma, Daowei
2001
Control and stabilization for the wave equation with variable coefficients in domains with moving boundary. Zbl 1330.93063
Lu, Liqing; Li, Shengjia; Chen, Goong; Yao, Pengfei
2015
A qualitative study of the damped Duffing equation and applications. Zbl 1122.34001
Feng, Zhaosheng; Chen, Goong; Hsu, Szebi
2006
Shape sensitivity analysis in mixed-mode fracture mechanics. Zbl 1068.74596
Chen, G.; Rahman, S.; Park, Y. H.
2001
Flow and heat transfer of a generalized Maxwell fluid with modified fractional Fourier’s law and Darcy’s law. Zbl 1390.76027
Li, Chunrui; Zheng, Liancun; Zhang, Xinxin; Chen, Goong
2016
OpenFOAM for computational fluid dynamics. Zbl 1338.76002
Chen, Goong; Xiong, Qingang; Morris, Philip J.; Paterson, Eric G.; Sergeev, Alexey; Wang, Yi-Ching
2014
Chaotic oscillations of solutions of the Klein-Gordon equation due to imbalance of distributed and boundary energy flows. Zbl 1300.35062
Chen, Goong; Sun, Bo; Huang, Tingwen
2014
Analysis of vibration eigenfrequencies of a thin plate by the Keller- Rubinow wave method. I: Clamped boundary conditions with rectangular or circular geometry. Zbl 0733.73045
Chen, Goong; Coleman, Matthew P.; Zhou, Jianxin
1991
A linear shock cell model for jets of arbitrary exit geometry. Zbl 1235.76058
Morris, P. J.; Bhat, T. R. S.; Chen, G.
1989
Applications of a generalized Galerkin’s method to non-linear oscillations of two-degree-of-freedom systems. Zbl 1235.70061
Chen, G.
1987
Exact controllability theorems and numerical simulations for some nonlinear differential equations. Zbl 0469.93016
Chen, Goong; Mills, Wendell H. jun.; Crosta, Giovanni
1981
The virial theorem and ground state energy estimates of nonlinear Schrödinger equations in $$\mathbb{R}^2$$ with square root and saturable nonlinearities in nonlinear optics. Zbl 1420.35366
Lin, Tai-Chia; Belić, Milivoj R.; Petrović, Milan S.; Hajaiej, Hichem; Chen, Goong
2017
Chaotic oscillations of second order linear hyperbolic equations with nonlinear boundary conditions: a factorizable but noncommutative case. Zbl 1327.35033
Li, Liangliang; Huang, Yu; Chen, Goong; Huang, Tingwen
2015
Visualization and dimensional scaling for some three-body problems in atomic and molecular quantum mechanics. Zbl 1152.81371
Chen, Goong; Ding, Zhonghai; Perronnet, Alain; Zhang, Zhigang
2008
Chaotic vibration of the wave equation with nonlinear feedback boundary control: progress and open questions. Zbl 1043.35035
Chen, Goong; Hsu, Sze-Bi; Zhou, Jianxin
2003
Linear superposition of chaotic and orderly vibrations on two serially connected strings with a van der Pol joint. Zbl 0886.73026
Chen, Goong; Zhou, Jianxin; Hsu, Sze-Bi
1996
Thermogravitational and thermocapillary convection in a cavity containing two superposed immiscible liquid layers. Zbl 0764.76065
Liu, Q. S.; Chen, G.; Roux, B.
1993
Asymptotic locations of eigenfrequencies of Euler-Bernoulli beam with nonhomogeneous structural and viscous damping coefficients. Zbl 0759.93068
Wang, Hankun; Chen, Goong
1991
Exact controllability of structural acoustic interactions with variable coefficients. Zbl 1347.35154
Liu, Yuxiang; Bin-Mohsin, Bandar; Hajaiej, Hichem; Yao, Peng-Fei; Chen, Goong
2016
Convergence analysis of an optimal scaling algorithm for semilinear elliptic boundary value problems. Zbl 1066.65113
Chen, Goong; Englert, Berthold G.; Zhou, Jianxin
2004
The fundamental solution for shallow circular cylindrical shells. I: Derivations. Zbl 1210.74116
Chen, Goong; Coleman, Matthew P.; Ma, Daowei; Morris, Philip J.; You, Puhong
2000
Boundary stabilization of Donnell’s shallow circular cylindrical shell. Zbl 1235.74228
Chen, G.; Coleman, M. P.; Liu, K.
1998
A genetic algorithm based multi-dimensional data association algorithm for multi-sensor-multi-target tracking. Zbl 0894.68069
Chen, G.; Hong, L.
1997
An asymptotic average decay rate for the wave equation with variable coefficient viscous damping. Zbl 0726.35092
Chen, G.; Fulling, S. A.; Narcowich, F. J.; Qi, C.
1990
Chaotic vibration of a two-dimensional non-strictly hyperbolic equation. Zbl 1416.35037
Li, Liangliang; Tian, Jing; Chen, Goong
2018
Exact-approximate boundary controllability of the thermoelastic plate with a curved middle surface. Zbl 1357.93017
Yang, Fengyan; Bin-Mohsin, Bandar; Chen, Goong; Yao, Pengfei
2017
Malaysia Airlines flight MH370: water entry of an airliner. Zbl 1338.00041
Chen, Goong; Gu, Cong; Morris, Philip J.; Paterson, Eric G.; Sergeev, Alexey; Wang, Yi-Ching; Wierzbicki, Tomasz
2015
Chaotic oscillations of solutions of first order hyperbolic systems in 1D with nonlinear boundary conditions. Zbl 1296.35092
Dai, Xiongping; Huang, Tingwen; Huang, Yu; Chen, Goong
2014
The spectrum of chaotic time series. II: Wavelet analysis. Zbl 1248.37034
Chen, Goong; Hsu, Sze-Bi; Huang, Yu; Roque-Sol, Marco A.
2011
The spectrum of chaotic time series. I: Fourier analysis. Zbl 1248.37072
Chen, Goong; Hsu, Sze-Bi; Huang, Yu; Roque-Sol, Marco A.
2011
Variational justification of the dimensional-scaling method in chemical physics: the H-atom. Zbl 1293.81043
Chen, Goong; Ding, Zhonghai; Lin, Chang-Shou; Herschbach, Dudley; Scully, Marlan O.
2010
Mathematical analysis of a Bohr atom model. Zbl 1111.81157
Chen, Goong; Ding, Zhonghai; Hsu, Sze-Bi; Kim, Moochan; Zhou, Jianxin
2006
Traveling wave behavior for a nonlinear reaction-diffusion equation. Zbl 1086.34005
Feng, Zhaosheng; Chen, Goong
2005
On positive solutions of the elliptic sine-Gordon equation. Zbl 1129.35374
Ding, Zhonghai; Chen, Goong; Li, Shujie
2005
Algorithms and visualization for solutions of nonlinear elliptic equations. II: Dirichlet, Neumann and Robin boundary conditions and problems in 3D. Zbl 1091.65507
Chen, Goong; Ni, Wei-Ming; Perronnet, Alain; Zhou, Jianxin
2001
Improving low order eigenfrequency estimates derived from the wave propagation method for an Euler-Bernoulli beam. Zbl 1235.74161
Chen, G.; Coleman, M. P.
1997
Augmenting a Fredholm operator of zero index to achieve invertibility for elliptic boundary value problems. Zbl 0802.35037
Chen, Goong; Sun, Shunhua
1993
Optimal boundary impedance for the minimization of reflection. I. Asymptotic solutions by the geometrical optics method. Zbl 0584.49005
Chen, Goong; Bridges, Thomas J.
1985
A 3D OpenFOAM based finite volume solver for incompressible Oldroyd-B model with infinity relaxation time. Zbl 1456.76081
Tian, Jing; Cai, Mingchao; Luo, Zhendong; You, Yuncheng; Chen, Goong
2019
Proper orthogonal decomposition methods for partial differential equations. Zbl 1458.65002
Luo, Zhendong; Chen, Goong
2019
A stochastic model for thermal transport of nanofluid in porous media: derivation and applications. Zbl 1409.76142
Pan, Mingyang; Zheng, Liancun; Liu, Chunyan; Liu, Fawang; Lin, Ping; Chen, Goong
2018
Application of the virial theorem for improving eigenvalue calculations of multiparticle systems. Zbl 1349.35256
Chen, Goong; Ding, Zhonghai; Huang, Tingwen; Yu, Lanxuan; Ramakrishna, Viswanath; Ward, Joseph
2017
Greenhouse gas molecules: a mathematical perspective. Zbl 1244.82079
Chen, Goong; Laane, Jaan; Wheeler, Steven E.; Zhang, Zhigang
2011
Mathematical analysis of the dimensional scaling technique for the Schrödinger equation with power-law potentials. Zbl 1314.81066
Ding, Zhonghai; Chen, Goong; Lin, Chang-Shou
2010
Boundary element methods with applications to nonlinear problems. 2nd revised ed. Zbl 1207.65001
Chen, Goong; Zhou, Jianxin
2010
NMR quantum computing. Zbl 1192.81117
Zhang, Zhigang; Chen, Goong; Diao, Zijian; Hemmer, Philip R.
2009
Some fundamental mathematical properties in atomic and molecular quantum mechanics. Zbl 1330.81077
Chen, Goong; Ding, Zhonghai; Perronnet, Alain; Scully, Marlan O.; Xie, Ruihua; Zhang, Zhigang
2007
The universality of the quantum Fourier transform in forming the basis of quantum computing algorithms. Zbl 1017.65109
Bowden, Charles M.; Chen, Goong; Diao, Zijian; Klappenecker, Andreas
2002
Generalizations of Grover’s algorithm to multiobject search in quantum computing. I: Continuous time and discrete time. Zbl 0997.81016
Chen, Goong; Fulling, Stephen A.; Chen, Jeesen
2002
Numerical investigation of meniscus deformation and flow in an isothermal liquid bridge subject to high-frequency vibrations under zero gravity conditions. Zbl 1075.76534
Lyubimov, D. V.; Lyubimova, T. P.; Skuridin, R. V.; Chen, G.; Roux, B.
2002
Boundary element monotone iteration scheme for semilinear elliptic partial differential equations. Part II: Quasimonotone iteration for coupled $$2\times 2$$ systems. Zbl 0951.65132
Chen, Goong; Deng, Yuanhua; Ni, Wei-Ming; Zhou, Jianxin
2000
Numerical study of three-dimensional non-Darcy forced convection in a square porous duct. Zbl 0964.76081
Chen, G.; Hadim, H. A.
1999
Numerical study of non-Darcy forced convection in a packed bed saturated with a power-law fluid. Zbl 0926.76106
Chen, G.; Hadim, H. A.
1998
Some corner effects on the loss of selfadjointness and the non-excitation of vibration for thin plates and shells. Zbl 0905.73032
Chen, G.; Coleman, M. P.; Ding, Z.
1998
Asymptotic equipartition of energy by nodal points of an eigenfunction. Zbl 0895.34019
Chen, Goong; Fulling, Stephen A.; Zhou, Jianxin
1997
Linear instability waves in supersonic jets confined in circular and non-circular ducts. Zbl 0925.76162
Viswanathan, K.; Morris, P. J.; Chen, G.
1994
Vibration and damping in distributed systems. Vol. 1: Analysis, estimation, attenuation, and design. Zbl 0852.73001
Chen, Goong; Zhou, Jianxin
1993
The equivalence between the wave propagation method and Bolotin’s method in the asymptotic estimation of eigenfrequencies of a rectangular plate. Zbl 0764.73044
Chen, Goong; Coleman, Matthew P.; Zhou, Jianxin
1992
Elastic-plastic finite element analysis of thermoplastic composite plates and shells. Zbl 0751.73060
Sun, C. T.; Chen, G.
1992
A 3D OpenFOAM based finite volume solver for incompressible Oldroyd-B model with infinity relaxation time. Zbl 1456.76081
Tian, Jing; Cai, Mingchao; Luo, Zhendong; You, Yuncheng; Chen, Goong
2019
Proper orthogonal decomposition methods for partial differential equations. Zbl 1458.65002
Luo, Zhendong; Chen, Goong
2019
Chaotic vibration of a two-dimensional non-strictly hyperbolic equation. Zbl 1416.35037
Li, Liangliang; Tian, Jing; Chen, Goong
2018
A stochastic model for thermal transport of nanofluid in porous media: derivation and applications. Zbl 1409.76142
Pan, Mingyang; Zheng, Liancun; Liu, Chunyan; Liu, Fawang; Lin, Ping; Chen, Goong
2018
The virial theorem and ground state energy estimates of nonlinear Schrödinger equations in $$\mathbb{R}^2$$ with square root and saturable nonlinearities in nonlinear optics. Zbl 1420.35366
Lin, Tai-Chia; Belić, Milivoj R.; Petrović, Milan S.; Hajaiej, Hichem; Chen, Goong
2017
Exact-approximate boundary controllability of the thermoelastic plate with a curved middle surface. Zbl 1357.93017
Yang, Fengyan; Bin-Mohsin, Bandar; Chen, Goong; Yao, Pengfei
2017
Application of the virial theorem for improving eigenvalue calculations of multiparticle systems. Zbl 1349.35256
Chen, Goong; Ding, Zhonghai; Huang, Tingwen; Yu, Lanxuan; Ramakrishna, Viswanath; Ward, Joseph
2017
Flow and heat transfer of a generalized Maxwell fluid with modified fractional Fourier’s law and Darcy’s law. Zbl 1390.76027
Li, Chunrui; Zheng, Liancun; Zhang, Xinxin; Chen, Goong
2016
Exact controllability of structural acoustic interactions with variable coefficients. Zbl 1347.35154
Liu, Yuxiang; Bin-Mohsin, Bandar; Hajaiej, Hichem; Yao, Peng-Fei; Chen, Goong
2016
MHD flow and radiation heat transfer of nanofluids in porous media with variable surface heat flux and chemical reaction. Zbl 1428.76240
Zhang, Chaoli; Zheng, Liancun; Zhang, Xinxin; Chen, Goong
2015
Control and stabilization for the wave equation with variable coefficients in domains with moving boundary. Zbl 1330.93063
Lu, Liqing; Li, Shengjia; Chen, Goong; Yao, Pengfei
2015
Chaotic oscillations of second order linear hyperbolic equations with nonlinear boundary conditions: a factorizable but noncommutative case. Zbl 1327.35033
Li, Liangliang; Huang, Yu; Chen, Goong; Huang, Tingwen
2015
Malaysia Airlines flight MH370: water entry of an airliner. Zbl 1338.00041
Chen, Goong; Gu, Cong; Morris, Philip J.; Paterson, Eric G.; Sergeev, Alexey; Wang, Yi-Ching; Wierzbicki, Tomasz
2015
Ground states of nonlinear Schrödinger systems with saturable nonlinearity in $$\mathbb{R}^2$$ for two counterpropagating beams. Zbl 1290.78016
Lin, Tai-Chia; Belić, Milivoj R.; Petrović, Milan S.; Chen, Goong
2014
OpenFOAM for computational fluid dynamics. Zbl 1338.76002
Chen, Goong; Xiong, Qingang; Morris, Philip J.; Paterson, Eric G.; Sergeev, Alexey; Wang, Yi-Ching
2014
Chaotic oscillations of solutions of the Klein-Gordon equation due to imbalance of distributed and boundary energy flows. Zbl 1300.35062
Chen, Goong; Sun, Bo; Huang, Tingwen
2014
Chaotic oscillations of solutions of first order hyperbolic systems in 1D with nonlinear boundary conditions. Zbl 1296.35092
Dai, Xiongping; Huang, Tingwen; Huang, Yu; Chen, Goong
2014
Concentration problems for bandpass filters in communication theory over disjoint frequency intervals and numerical solutions. Zbl 1252.94005
SenGupta, Indranil; Sun, Bo; Jiang, Weisheng; Chen, Goong; Mariani, Maria C.
2012
Chaotic maps. Dynamics, fractals, and rapid fluctuations. Zbl 1237.37001
Chen, Goong; Huang, Yu.
2011
The spectrum of chaotic time series. II: Wavelet analysis. Zbl 1248.37034
Chen, Goong; Hsu, Sze-Bi; Huang, Yu; Roque-Sol, Marco A.
2011
The spectrum of chaotic time series. I: Fourier analysis. Zbl 1248.37072
Chen, Goong; Hsu, Sze-Bi; Huang, Yu; Roque-Sol, Marco A.
2011
Greenhouse gas molecules: a mathematical perspective. Zbl 1244.82079
Chen, Goong; Laane, Jaan; Wheeler, Steven E.; Zhang, Zhigang
2011
Variational justification of the dimensional-scaling method in chemical physics: the H-atom. Zbl 1293.81043
Chen, Goong; Ding, Zhonghai; Lin, Chang-Shou; Herschbach, Dudley; Scully, Marlan O.
2010
Mathematical analysis of the dimensional scaling technique for the Schrödinger equation with power-law potentials. Zbl 1314.81066
Ding, Zhonghai; Chen, Goong; Lin, Chang-Shou
2010
Boundary element methods with applications to nonlinear problems. 2nd revised ed. Zbl 1207.65001
Chen, Goong; Zhou, Jianxin
2010
Traveling wave solutions in parametric forms for a diffusion model with a nonlinear rate of growth. Zbl 1360.34100
Feng, Zhaosheng; Chen, Goong
2009
NMR quantum computing. Zbl 1192.81117
Zhang, Zhigang; Chen, Goong; Diao, Zijian; Hemmer, Philip R.
2009
Visualization and dimensional scaling for some three-body problems in atomic and molecular quantum mechanics. Zbl 1152.81371
Chen, Goong; Ding, Zhonghai; Perronnet, Alain; Zhang, Zhigang
2008
Stability of Cohen-Grossberg neural networks with unbounded distributed delays. Zbl 1137.34351
Huang, Tingwen; Li, Chuandong; Chen, Goong
2007
Quantum computing devices. Principles, designs, and analysis. Zbl 1119.81004
Chen, Goong; Church, David A.; Englert, Berthold-Georg; Henkel, Carsten; Rohwedder, Bernd; Scully, Marlan O.; Zubairy, M. Suhail
2007
Some fundamental mathematical properties in atomic and molecular quantum mechanics. Zbl 1330.81077
Chen, Goong; Ding, Zhonghai; Perronnet, Alain; Scully, Marlan O.; Xie, Ruihua; Zhang, Zhigang
2007
Rapid fluctuations of chaotic maps on $$\mathbb {R}^N$$. Zbl 1102.37010
Huang, Yu; Chen, Goong; Ma, Daowei
2006
A qualitative study of the damped Duffing equation and applications. Zbl 1122.34001
Feng, Zhaosheng; Chen, Goong; Hsu, Szebi
2006
Mathematical analysis of a Bohr atom model. Zbl 1111.81157
Chen, Goong; Ding, Zhonghai; Hsu, Sze-Bi; Kim, Moochan; Zhou, Jianxin
2006
Traveling wave behavior for a nonlinear reaction-diffusion equation. Zbl 1086.34005
Feng, Zhaosheng; Chen, Goong
2005
On positive solutions of the elliptic sine-Gordon equation. Zbl 1129.35374
Ding, Zhonghai; Chen, Goong; Li, Shujie
2005
Chaotic behavior of interval maps and total variations of iterates. Zbl 1077.37510
Chen, Goong; Huang, Tingwen; Huang, Yu
2004
A note on the elliptic sine-Gordon equation. Zbl 1208.35030
Chen, Goong; Ding, Zhonghai; Hu, Chia-Ren; Ni, Wei-Ming; Zhou, Jianxin
2004
Convergence analysis of an optimal scaling algorithm for semilinear elliptic boundary value problems. Zbl 1066.65113
Chen, Goong; Englert, Berthold G.; Zhou, Jianxin
2004
Chaotic vibration of the wave equation with nonlinear feedback boundary control: progress and open questions. Zbl 1043.35035
Chen, Goong; Hsu, Sze-Bi; Zhou, Jianxin
2003
Nonisotropic spatiotemporal chaotic vibration of the wave equation due to mixing energy transport and a van der Pol boundary condition. Zbl 1044.37019
Chen, Goong; Hsu, Sze-Bi; Zhou, Jianxin
2002
Mathematics of quantum computation. Zbl 1077.81018
Chen, Goong (ed.); Brylinski, Ranee K. (ed.)
2002
Analyzing displacement term’s memory effect in a van der Pol type boundary condition to prove chaotic vibration of the wave equation. Zbl 1042.35032
Chen, Goong; Hsu, Sze-Bi; Huang, Tingwen
2002
The universality of the quantum Fourier transform in forming the basis of quantum computing algorithms. Zbl 1017.65109
Bowden, Charles M.; Chen, Goong; Diao, Zijian; Klappenecker, Andreas
2002
Generalizations of Grover’s algorithm to multiobject search in quantum computing. I: Continuous time and discrete time. Zbl 0997.81016
Chen, Goong; Fulling, Stephen A.; Chen, Jeesen
2002
Numerical investigation of meniscus deformation and flow in an isothermal liquid bridge subject to high-frequency vibrations under zero gravity conditions. Zbl 1075.76534
Lyubimov, D. V.; Lyubimova, T. P.; Skuridin, R. V.; Chen, G.; Roux, B.
2002
A separation principle for dynamical delayed output feedback control of chaos. Zbl 0985.37049
Tian, Y.-P.; Chen, G.
2001
Unbounded growth of total variations of snapshots of the 1D linear wave equation due to the chaotic behavior of iterates of composite nonlinear boundary reflection relations. Zbl 0981.35033
Chen, Goong; Huang, Tingwen; Juang, Jonq; Ma, Daowei
2001
Shape sensitivity analysis in mixed-mode fracture mechanics. Zbl 1068.74596
Chen, G.; Rahman, S.; Park, Y. H.
2001
Algorithms and visualization for solutions of nonlinear elliptic equations. II: Dirichlet, Neumann and Robin boundary conditions and problems in 3D. Zbl 1091.65507
Chen, Goong; Ni, Wei-Ming; Perronnet, Alain; Zhou, Jianxin
2001
Algorithms and visualization for solutions of nonlinear elliptic equations. Zbl 1090.65549
Chen, Goong; Zhou, Jianxin; Ni, Wei-Ming
2000
The fundamental solution for shallow circular cylindrical shells. I: Derivations. Zbl 1210.74116
Chen, Goong; Coleman, Matthew P.; Ma, Daowei; Morris, Philip J.; You, Puhong
2000
Boundary element monotone iteration scheme for semilinear elliptic partial differential equations. Part II: Quasimonotone iteration for coupled $$2\times 2$$ systems. Zbl 0951.65132
Chen, Goong; Deng, Yuanhua; Ni, Wei-Ming; Zhou, Jianxin
2000
A high-linking algorithm for sign-changing solutions of semilinear elliptic equations. Zbl 0941.35023
Ding, Zhonghai; Costa, David; Chen, Goong
1999
Numerical study of three-dimensional non-Darcy forced convection in a square porous duct. Zbl 0964.76081
Chen, G.; Hadim, H. A.
1999
Snapback repellers as a cause of chaotic vibration of the wave equation with a van der Pol boundary condition and energy injection at the middle of the span. Zbl 0959.37027
Chen, Goong; Hsu, Sze-Bi; Zhou, Jianxin
1998
Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. II: Energy injection, period doubling and homoclinic orbits. Zbl 0938.35088
Chen, Goong; Hsu, Sze-Bi; Zhou, Jianxin
1998
Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. I: Controlled hysteresis (with Appendix by Guanrong Chen and Giovanni Crosta). Zbl 0916.35065
Chen, Goong; Hsu, Sze-Bi; Zhou, Jianxin
1998
Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. III: Natural hysteresis memory effects. Zbl 0938.35089
Chen, Goong; Hsu, Sze-Bi; Zhou, Jianxin
1998
Boundary stabilization of Donnell’s shallow circular cylindrical shell. Zbl 1235.74228
Chen, G.; Coleman, M. P.; Liu, K.
1998
Numerical study of non-Darcy forced convection in a packed bed saturated with a power-law fluid. Zbl 0926.76106
Chen, G.; Hadim, H. A.
1998
Some corner effects on the loss of selfadjointness and the non-excitation of vibration for thin plates and shells. Zbl 0905.73032
Chen, G.; Coleman, M. P.; Ding, Z.
1998
A genetic algorithm based multi-dimensional data association algorithm for multi-sensor-multi-target tracking. Zbl 0894.68069
Chen, G.; Hong, L.
1997
Improving low order eigenfrequency estimates derived from the wave propagation method for an Euler-Bernoulli beam. Zbl 1235.74161
Chen, G.; Coleman, M. P.
1997
Asymptotic equipartition of energy by nodal points of an eigenfunction. Zbl 0895.34019
Chen, Goong; Fulling, Stephen A.; Zhou, Jianxin
1997
Boundary element monotone iteration scheme for semilinear elliptic partial differential equations. Zbl 0864.65071
Deng, Yuanhua; Chen, Goong; Ni, Wei-Ming; Zhou, Jianxin
1996
Linear superposition of chaotic and orderly vibrations on two serially connected strings with a van der Pol joint. Zbl 0886.73026
Chen, Goong; Zhou, Jianxin; Hsu, Sze-Bi
1996
Linear stochastic control systems. Zbl 0860.93001
Chen, Guanrong; Chen, Goong; Hsu, Shih-Hsun
1995
Visualization of special eigenmode shapes of a vibrating elliptical membrane. Zbl 0806.73032
Chen, Goong; Morris, Philip J.; Zhou, Jianxin
1994
Linear instability waves in supersonic jets confined in circular and non-circular ducts. Zbl 0925.76162
Viswanathan, K.; Morris, P. J.; Chen, G.
1994
Vibration and damping in distributed systems. Vol. 2: WKB and wave methods, visualization and experimentation. Zbl 0852.73002
Chen, Goong; Zhou, Jianxin
1993
Thermogravitational and thermocapillary convection in a cavity containing two superposed immiscible liquid layers. Zbl 0764.76065
Liu, Q. S.; Chen, G.; Roux, B.
1993
Augmenting a Fredholm operator of zero index to achieve invertibility for elliptic boundary value problems. Zbl 0802.35037
Chen, Goong; Sun, Shunhua
1993
Vibration and damping in distributed systems. Vol. 1: Analysis, estimation, attenuation, and design. Zbl 0852.73001
Chen, Goong; Zhou, Jianxin
1993
Boundary element methods. Zbl 0842.65071
Chen, Goong; Zhou, Jianxin
1992
The equivalence between the wave propagation method and Bolotin’s method in the asymptotic estimation of eigenfrequencies of a rectangular plate. Zbl 0764.73044
Chen, Goong; Coleman, Matthew P.; Zhou, Jianxin
1992
Elastic-plastic finite element analysis of thermoplastic composite plates and shells. Zbl 0751.73060
Sun, C. T.; Chen, G.
1992
Exponential decay of energy of evolution equations with locally distributed damping. Zbl 0734.35009
Chen, G.; Fulling, S. A.; Narcowich, F. J.; Sun, S.
1991
Analysis of vibration eigenfrequencies of a thin plate by the Keller- Rubinow wave method. I: Clamped boundary conditions with rectangular or circular geometry. Zbl 0733.73045
Chen, Goong; Coleman, Matthew P.; Zhou, Jianxin
1991
Asymptotic locations of eigenfrequencies of Euler-Bernoulli beam with nonhomogeneous structural and viscous damping coefficients. Zbl 0759.93068
Wang, Hankun; Chen, Goong
1991
Distributed parameter control systems. New trends and applications. Proceedings from a workshop, held August 4-11, 1989, in Minneapolis, MN (USA). Zbl 0725.00019
Chen, Goong (ed.); Lee, E. Bruce (ed.); Littman, Walter (ed.); Markus, Lawrence (ed.)
1991
The wave propagation method for the analysis of boundary stabilization in vibrating structures. Zbl 0712.73069
Chen, Goong; Zhou, Jianxin
1990
An asymptotic average decay rate for the wave equation with variable coefficient viscous damping. Zbl 0726.35092
Chen, G.; Fulling, S. A.; Narcowich, F. J.; Qi, C.
1990
Unconstrained variational statements for initial and boundary-value problems via the principle of total virtual action. Zbl 0721.73049
Chen, G.
1990
Exponential stability analysis of a long chain of coupled vibrating strings with dissipative linkage. Zbl 0685.93054
Liu, Kang-Sheng; Huang, Fa-Lun; Chen, Goong
1989
Analysis, designs, and behaviour of dissipative joints for coupled beams. Zbl 0685.73046
Chen, G.; Krantz, S. G.; Russel, D. L.; Wayne, C. E.; West, H. H.; Coleman, M. P.
1989
Asymptotic behaviour of solutions of the one-dimensional wave equation with a nonlinear boundary stabilizer. Zbl 0682.93042
Wang, Han-Kun; Chen, Goong
1989
A linear shock cell model for jets of arbitrary exit geometry. Zbl 1235.76058
Morris, P. J.; Bhat, T. R. S.; Chen, G.
1989
Diagonal convexity conditions for problems in convex analysis and quasi-variational inequalities. Zbl 0649.49008
Zhou, Jian Xin; Chen, Goong
1988
Minimizing the reflection of waves by surface impedance using boundary elements and global optimization. Zbl 0637.73023
Chen, Goong; Bridges, Thomas J.; Zhou, Jianxin
1988
Theory, designs and applications of point stabilizers for dynamic structures. Zbl 0850.93732
Chen, Goong
1988
Modeling, stabilization and control of serially connected beams. Zbl 0621.93053
Chen, Goong; Delfour, M. C.; Krall, A. M.; Payre, G.
1987
Pointwise stabilization in the middle of the span for second order systems, nonuniform and uniform exponential decay of solutions. Zbl 0641.93047
Chen, Goong; Coleman, Matthew; West, Harry H.
1987
Applications of a generalized Galerkin’s method to non-linear oscillations of two-degree-of-freedom systems. Zbl 1235.70061
Chen, G.
1987
A generalized Galerkin’s method for non-linear oscillators. Zbl 1235.70147
Chen, G.
1987
Minimizing the reflection of electromagnetic waves by surface impedance. Zbl 0603.73108
Bridges, T. J.; Chen, G.; Crosta, G.
1987
Minimax methods for open-loop equilibria in N-person differential games. I: Linear quadratic games and constrained games. Zbl 0622.90102
Chen, Goong; Zheng, Quan; Zhou, Jian-Xin
1986
Optimal boundary impedance for the minimization of reflection. I. Asymptotic solutions by the geometrical optics method. Zbl 0584.49005
Chen, Goong; Bridges, Thomas J.
1985
Restructuring Pascal programs containing goto statements. Zbl 0559.68012
Williams, M. H.; Chen, G.
1985
Sharp error estimates for a finite element-penalty approach to a class of regulator problems. Zbl 0538.49026
Chen, Goong; Mills, Wendell H. jun.; Sun, Shunhua; Yost, David A.
1983
...and 10 more Documents
all top 5

#### Cited by 1,429 Authors

 34 Chen, Goong 23 Guo, Bao-Zhu 20 Xu, Gen-Qi 20 Zhou, Jianxin 19 Ding, Xie Ping 19 Huang, Yu 15 Lasiecka, Irena 13 Triggiani, Roberto 11 Afrouzi, Ghasem Alizadeh 11 Chen, Guanrong 11 Ezzinbi, Khalil 11 Han, Zhongjie 11 Li, Liangliang 11 Mahdavi, Somayeh 11 Naghizadeh, Zohreh 10 Liu, Zhuangyi 10 Tebou, Louis T. 10 Wang, Junmin 9 Huang, Tingwen 9 Li, Zhaoxiang 9 Sayas, Francisco-Javier 8 Ghnimi, Saifeddine 8 Gorain, Ganesh Chandra 8 Marin, Liviu 8 van der Merwe, Alna 8 Yao, Jen-Chih 8 Yao, Xudong 8 Yeh, Li-Ming 8 Zhang, Qiong 7 Cavalcanti, Marcelo Moreira 7 Hsu, Szebi 7 Jin, Fengfei 7 Lee, Ming-Gong 7 Li, Yongxiang 7 Li, Zi-Cai 7 Liang, Jin 7 Rapún, María-Luisa 7 Tian, Guoqiang 7 van Rensburg, Nicolaas F. J. 7 Wang, Zhi-Qiang 7 Yang, Zhonghua 7 Yao, Pengfei 7 Zhu, Hailong 6 Coleman, Matthew P. 6 Ding, Zhonghai 6 Feng, Zhaosheng 6 Kauffman, Louis Hirsch 6 Peng, Jianwen 6 Tian, Yuping 6 Toundykov, Daniel 6 Yang, Qigui 5 Ammari, Kais 5 Antoine, Xavier 5 Avalos, George 5 Chen, Yuanlong 5 Cui, Lizhi 5 Domingos Cavalcanti, Valéria Neves 5 Grimmer, Ronald 5 Hao, Jianghao 5 Lin, Taichia 5 Liu, Kangsheng 5 Morgul, Omer 5 Muñoz Rivera, Jaime Edilberto 5 Nakao, Mitsuhiro 5 Rahman, Sharif 5 Régnier, Virginie 5 Sadek, Ibrahim S. 5 Shih, Chih-Wen 5 Tan, Kok-Keong 5 Xiang, Qiaomin 5 Xiao, Tijun 5 Zhou, Hua-Cheng 4 Benaissa, Abbes 4 Bose, Sujit Kumar 4 Chadli, Ouayl 4 Chai, Shugen 4 Chen, Borsen 4 Cuevas, Claudio 4 De Jesus, Isaías Pereira 4 Domínguez, Víctor 4 Feng, Hongyinping 4 Gou, Haide 4 Guo, Yanni 4 Hou, Xuezhang 4 Jeon, Youngmok 4 Kassay, Gábor 4 Kobayashi, Toshihiro 4 Li, Shengjia 4 Maniar, Lahcen 4 Mercier, Denis 4 Morris, Philip J. 4 Nicaise, Serge 4 Peng, Shuangjie 4 Rao, Boggarapu Nageswara 4 Rao, Bopeng 4 Respondek, Jerzy Stefan 4 Shang, Yadong 4 Shi, Yuming 4 Soriano, Juan A. 4 Taoudi, Mohamed Aziz ...and 1,329 more Authors
all top 5

#### Cited in 254 Serials

 91 Journal of Mathematical Analysis and Applications 48 Journal of Differential Equations 44 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 35 Applied Mathematics and Computation 31 Journal of Computational and Applied Mathematics 29 Computers & Mathematics with Applications 29 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 27 Automatica 24 Engineering Analysis with Boundary Elements 23 Journal of Optimization Theory and Applications 20 Systems & Control Letters 19 Chaos, Solitons and Fractals 15 Mathematical Methods in the Applied Sciences 14 Computer Methods in Applied Mechanics and Engineering 14 International Journal of Control 14 SIAM Journal on Control and Optimization 13 Applied Mathematics Letters 13 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 12 Applied Mathematics and Mechanics. (English Edition) 11 Applicable Analysis 11 Journal of Mathematical Physics 11 Applied Mathematics and Optimization 11 Nonlinear Analysis. Theory, Methods & Applications 10 Applied Numerical Mathematics 9 Numerical Functional Analysis and Optimization 9 Acta Mathematicae Applicatae Sinica. English Series 9 Mathematical and Computer Modelling 9 Nonlinear Analysis. Real World Applications 8 Wave Motion 8 Communications in Nonlinear Science and Numerical Simulation 7 Computational Mechanics 7 Numerical Methods for Partial Differential Equations 7 Journal of Integral Equations and Applications 7 Discrete and Continuous Dynamical Systems 7 Abstract and Applied Analysis 7 Evolution Equations and Control Theory 6 Bulletin of the Australian Mathematical Society 6 Journal of Functional Analysis 6 Semigroup Forum 6 Transactions of the American Mathematical Society 6 Acta Applicandae Mathematicae 6 Science in China. Series A 6 Applied Mathematical Modelling 6 Communications in Partial Differential Equations 6 Journal of Evolution Equations 5 Journal of Computational Physics 5 Mathematics of Computation 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Numerische Mathematik 5 Optimization 5 Journal of Scientific Computing 5 Physics of Fluids 5 Advances in Computational Mathematics 5 Journal of Inequalities and Applications 5 Chaos 5 Journal of Dynamical and Control Systems 4 International Journal of Systems Science 4 Journal of the Franklin Institute 4 Mathematical Biosciences 4 Mathematics and Computers in Simulation 4 Journal of Vibration and Control 4 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Systems Science and Complexity 4 International Journal of Quantum Information 4 Boundary Value Problems 4 Journal of Fixed Point Theory and Applications 4 AMM. Applied Mathematics and Mechanics. (English Edition) 4 Electronic Research Archive 3 International Journal of Engineering Science 3 Inverse Problems 3 Computing 3 Kybernetika 3 Proceedings of the American Mathematical Society 3 MCSS. Mathematics of Control, Signals, and Systems 3 Journal of Global Optimization 3 Dynamics and Control 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 SIAM Journal on Mathematical Analysis 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Mathematical Problems in Engineering 3 Nonlinear Dynamics 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Communications on Pure and Applied Analysis 3 Mediterranean Journal of Mathematics 3 Advances in Difference Equations 3 Afrika Matematika 2 Acta Mechanica 2 Computer Physics Communications 2 International Journal of Theoretical Physics 2 Journal of Engineering Mathematics 2 Mathematical Notes 2 Reports on Mathematical Physics 2 Calcolo 2 Fuzzy Sets and Systems 2 Information Sciences 2 Integral Equations and Operator Theory 2 Mathematische Zeitschrift ...and 154 more Serials
all top 5

#### Cited in 47 Fields

 524 Partial differential equations (35-XX) 314 Systems theory; control (93-XX) 235 Mechanics of deformable solids (74-XX) 193 Numerical analysis (65-XX) 133 Operator theory (47-XX) 96 Dynamical systems and ergodic theory (37-XX) 92 Calculus of variations and optimal control; optimization (49-XX) 86 Ordinary differential equations (34-XX) 63 Fluid mechanics (76-XX) 57 Integral equations (45-XX) 39 Biology and other natural sciences (92-XX) 33 Operations research, mathematical programming (90-XX) 31 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 30 Quantum theory (81-XX) 29 Mechanics of particles and systems (70-XX) 25 Global analysis, analysis on manifolds (58-XX) 22 Optics, electromagnetic theory (78-XX) 18 Classical thermodynamics, heat transfer (80-XX) 17 Computer science (68-XX) 14 General topology (54-XX) 13 Difference and functional equations (39-XX) 12 Potential theory (31-XX) 12 Probability theory and stochastic processes (60-XX) 10 Information and communication theory, circuits (94-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Functional analysis (46-XX) 7 Statistical mechanics, structure of matter (82-XX) 4 Approximations and expansions (41-XX) 4 Convex and discrete geometry (52-XX) 4 Differential geometry (53-XX) 3 Group theory and generalizations (20-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 3 Algebraic topology (55-XX) 3 Manifolds and cell complexes (57-XX) 3 Statistics (62-XX) 2 Number theory (11-XX) 2 Category theory; homological algebra (18-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Relativity and gravitational theory (83-XX)