## Chen, Goong

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 Author ID: chen.goong Published as: Chen, Goong; Chen, G.
 Documents Indexed: 150 Publications since 1973, including 8 Books 4 Contributions as Editor Co-Authors: 131 Co-Authors with 126 Joint Publications 4,393 Co-Co-Authors
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### Co-Authors

 11 single-authored 33 Zhou, Jianxin 14 Hsu, Szebi 11 Ding, Zhonghai 9 Coleman, Matthew P. 8 Huang, Tingwen 8 Morris, Philip J. 8 Zhang, Zhigang 7 Huang, Yu 6 Ni, Wei-Ming 5 Scully, Marlan Orvil 4 Belić, Milivoj R. 4 Diao, Zijian 4 Fulling, Stephen A. 4 Grimmer, Ronald 4 Ma, Daowei 4 Mills, Wendell H. jun. 4 Sergeev, Alexey V. 4 Sun, Shunhua 4 Yao, Pengfei 3 Bridges, Thomas J. 3 Crosta, Giovanni F. 3 Deng, Yuanhua 3 Feng, Zhaosheng 3 Hadim, H. A. 3 Krantz, Steven George 3 Perronnet, Alain 3 Wang, Hankun 3 Xie, Ruihua 3 Zheng, Liancun 3 Zheng, Quan 2 Aron, Richard Martin 2 Bin-Mohsin, Bandar 2 Chen, Guanrong 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 Wei, Chunqiu 2 West, Harry H. 2 Xiang, Shuhuang 2 Yang, Donghui 2 Yang, Fengyan 2 Yang, Zhengping 2 Yeh, Jean 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, Jeesen 1 Chen, Jianhua 1 Chen, YiNing 1 Cheng, Xingong 1 Church, David A. 1 Costa, David Goldstein 1 Dai, Xiongping 1 Davies, A. E. 1 Delfour, Michel Claude 1 Fang, Chao 1 Fournier, Noah J. 1 Fujinaka, Toru 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, 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 ...and 41 more Co-Authors
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### 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 6 Journal of Sound and Vibration 4 Notices of the American Mathematical Society 3 International Journal of Engineering Science 3 Wave Motion 3 Mathematics of Computation 3 Communications in Nonlinear Science and Numerical Simulation 2 Computers and Fluids 2 The Computer Journal. Section A / Section B 2 Funkcialaj Ekvacioj. Serio Internacia 2 Journal of Computational and Applied Mathematics 2 Optimal Control Applications & Methods 2 Journal of Computational Mathematics 2 Journal of Porous Media 2 Discrete and Continuous Dynamical Systems. Series B 2 Lecture Notes in Pure and Applied Mathematics 2 Communications in Theoretical Physics 1 Modern Physics Letters B 1 Acta Mechanica 1 AIAA Journal 1 Computers & Mathematics with Applications 1 International Journal of Heat and Mass Transfer 1 Journal of Applied Mechanics 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Chaos, Solitons and Fractals 1 Canadian Mathematical Bulletin 1 Journal of Differential Equations 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Journal of Integral Equations 1 Systems & Control Letters 1 Heat and Technology 1 Computational Mechanics 1 COMPEL 1 Mathematical and Computer Modelling 1 Asymptotic Analysis 1 MCSS. Mathematics of Control, Signals, and Systems 1 International Journal of Adaptive Control and Signal Processing 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 International Journal of Numerical Methods for Heat & Fluid Flow 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
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### Fields

 64 Partial differential equations (35-XX) 39 Systems theory; control (93-XX) 35 Mechanics of deformable solids (74-XX) 29 Numerical analysis (65-XX) 19 Quantum theory (81-XX) 16 Fluid mechanics (76-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Ordinary differential equations (34-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 8 Operator theory (47-XX) 7 Integral equations (45-XX) 7 Mechanics of particles and systems (70-XX) 7 Optics, electromagnetic theory (78-XX) 6 General and overarching topics; collections (00-XX) 6 Computer science (68-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Group theory and generalizations (20-XX) 2 Measure and integration (28-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

110 Publications have been cited 1,516 times in 1,012 Documents Cited by Year
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
A mathematical model for linear elastic systems with structural damping. Zbl 0515.73033
Chen, G.; Russell, D. L.
1982
Energie decay estimates and exact boundary value controllability for the wave equation in a bounded domain. Zbl 0414.35044
Chen, Goong
1979
Boundary element methods. Zbl 0842.65071
Chen, Goong; Zhou, Jianxin
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
Algorithms and visualization for solutions of nonlinear elliptic equations. Zbl 1090.65549
Chen, Goong; Zhou, Jianxin; Ni, Wei-Ming
2000
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
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. 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. II: Energy injection, period doubling and homoclinic orbits. Zbl 0938.35088
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. III: Domain with moving boundary. Zbl 0461.93038
Bardos, Claude; 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
Control and stabilization for the wave equation in a bounded domain. II. Zbl 0461.93037
Chen, Goong
1981
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
Stability of Cohen-Grossberg neural networks with unbounded distributed delays. Zbl 1137.34351
Huang, Tingwen; Li, Chuandong; Chen, Goong
2007
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
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
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
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
Mathematics of quantum computation. Zbl 1077.81018
2002
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
Chaotic maps. Dynamics, fractals, and rapid fluctuations. Zbl 1237.37001
Chen, Goong; Huang, Yu.
2011
Asymptotic behaviour of solutions of the one-dimensional wave equation with a nonlinear boundary stabilizer. Zbl 0682.93042
Wang, Han-Kun; Chen, Goong
1989
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
Visualization of special eigenmode shapes of a vibrating elliptical membrane. Zbl 0806.73032
Chen, Goong; Morris, Philip J.; Zhou, Jianxin
1994
A qualitative study of the damped Duffing equation and applications. Zbl 1122.34001
Feng, Zhaosheng; Chen, Goong; Hsu, Szebi
2006
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
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
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
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
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
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
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
OpenFOAM for computational fluid dynamics. Zbl 1338.76002
Chen, Goong; Xiong, Qingang; Morris, Philip J.; Paterson, Eric G.; Sergeev, Alexey; Wang, Yi-Ching
2014
Asymptotic locations of eigenfrequencies of Euler-Bernoulli beam with nonhomogeneous structural and viscous damping coefficients. Zbl 0759.93068
Wang, Hankun; Chen, Goong
1991
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
A note on the elliptic sine-Gordon equation. Zbl 1208.35030
Chen, Goong; Ding, Zhonghai; Hu, Chia-Ren; Ni, Wei-Ming; Zhou, Jianxin
2004
Shape sensitivity analysis in mixed-mode fracture mechanics. Zbl 1068.74596
Chen, G.; Rahman, S.; Park, Y. H.
2001
Vibration and damping in distributed systems. Vol. 2: WKB and wave methods, visualization and experimentation. Zbl 0852.73002
Chen, Goong; Zhou, Jianxin
1993
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
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
Thermogravitational and thermocapillary convection in a cavity containing two superposed immiscible liquid layers. Zbl 0764.76065
Liu, Q. S.; Chen, G.; Roux, B.
1993
Chaotic vibration of a two-dimensional non-strictly hyperbolic equation. Zbl 1416.35037
Li, Liangliang; Tian, Jing; Chen, Goong
2018
Exact controllability theorems and numerical simulations for some nonlinear differential equations. Zbl 0469.93016
Chen, Goong; Mills, Wendell H. jun.; Crosta, Giovanni
1981
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
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 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
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
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
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
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
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
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
Proper orthogonal decomposition methods for partial differential equations. Zbl 1458.65002
Luo, Zhendong; Chen, Goong
2019
Linear stochastic control systems. Zbl 0860.93001
Chen, Guanrong; Chen, Goong; Hsu, Shih-Hsun
1995
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
The spectrum of chaotic time series. I: Fourier analysis. Zbl 1248.37072
Chen, Goong; Hsu, Sze-Bi; Huang, Yu; Roque-Sol, Marco A.
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
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
Convergence analysis of an optimal scaling algorithm for semilinear elliptic boundary value problems. Zbl 1066.65113
Chen, Goong; Englert, Berthold G.; Zhou, Jianxin
2004
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
On positive solutions of the elliptic sine-Gordon equation. Zbl 1129.35374
Ding, Zhonghai; Chen, Goong; Li, Shujie
2005
Traveling wave behavior for a nonlinear reaction-diffusion equation. Zbl 1086.34005
Feng, Zhaosheng; Chen, Goong
2005
Mathematical analysis of a Bohr atom model. Zbl 1111.81157
Chen, Goong; Ding, Zhonghai; Hsu, Sze-Bi; Kim, Moochan; Zhou, Jianxin
2006
Augmenting a Fredholm operator of zero index to achieve invertibility for elliptic boundary value problems. Zbl 0802.35037
Chen, Goong; Sun, Shunhua
1993
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
Boundary element methods with applications to nonlinear problems. 2nd revised ed. Zbl 1207.65001
Chen, Goong; Zhou, Jianxin
2010
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
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
Elastic-plastic finite element analysis of thermoplastic composite plates and shells. Zbl 0751.73060
Sun, C. T.; Chen, G.
1992
Theory, designs and applications of point stabilizers for dynamic structures. Zbl 0850.93732
Chen, Goong
1988
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
Simulation of ductile fracture of zirconium alloys based on triaxiality dependent cohesive zone model. Zbl 1475.74114
Fang, C.; Guo, X.; Weng, G. J.; Li, J. H.; Chen, G.
2021
Numerical study of three-dimensional non-Darcy forced convection in a square porous duct. Zbl 0964.76081
1999
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 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
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
Mathematics of quantum computation and quantum technology. Selected papers based on the presentations at the NSF conference, College Station, TX, November 2005. Zbl 1125.81001
2008
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
Finite elements and terminal penalization for quadratic cost optimal control problems governed by ordinary differential equations. Zbl 0537.49017
Chen, Goong; Mills, Wendell H.
1981
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
Restructuring Pascal programs containing goto statements. Zbl 0559.68012
Williams, M. H.; Chen, G.
1985
Unconstrained variational statements for initial and boundary-value problems via the principle of total virtual action. Zbl 0721.73049
Chen, G.
1990
A generalized Galerkin’s method for non-linear oscillators. Zbl 1235.70147
Chen, G.
1987
Greenhouse gas molecules: a mathematical perspective. Zbl 1244.82079
Chen, Goong; Laane, Jaan; Wheeler, Steven E.; Zhang, Zhigang
2011
Boundary controllability of structural acoustic systems with variable coefficients and curved walls. Zbl 1391.93044
Yang, Fengyan; Yao, Pengfei; 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
Linear instability waves in supersonic jets confined in circular and non-circular ducts. Zbl 0925.76162
Viswanathan, K.; Morris, P. J.; Chen, G.
1994
Simulation of ductile fracture of zirconium alloys based on triaxiality dependent cohesive zone model. Zbl 1475.74114
Fang, C.; Guo, X.; Weng, G. J.; Li, J. H.; Chen, G.
2021
Proper orthogonal decomposition methods for partial differential equations. Zbl 1458.65002
Luo, Zhendong; Chen, Goong
2019
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
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
Boundary controllability of structural acoustic systems with variable coefficients and curved walls. Zbl 1391.93044
Yang, Fengyan; Yao, Pengfei; 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
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
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
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
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
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 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. I: Fourier analysis. Zbl 1248.37072
Chen, Goong; Hsu, Sze-Bi; Huang, Yu; Roque-Sol, Marco A.
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
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
Boundary element methods with applications to nonlinear problems. 2nd revised ed. Zbl 1207.65001
Chen, Goong; Zhou, Jianxin
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
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
Mathematics of quantum computation and quantum technology. Selected papers based on the presentations at the NSF conference, College Station, TX, November 2005. Zbl 1125.81001
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
A qualitative study of the damped Duffing equation and applications. Zbl 1122.34001
Feng, Zhaosheng; Chen, Goong; Hsu, Szebi
2006
Rapid fluctuations of chaotic maps on $$\mathbb {R}^N$$. Zbl 1102.37010
Huang, Yu; Chen, Goong; Ma, Daowei
2006
Mathematical analysis of a Bohr atom model. Zbl 1111.81157
Chen, Goong; Ding, Zhonghai; Hsu, Sze-Bi; Kim, Moochan; Zhou, Jianxin
2006
On positive solutions of the elliptic sine-Gordon equation. Zbl 1129.35374
Ding, Zhonghai; Chen, Goong; Li, Shujie
2005
Traveling wave behavior for a nonlinear reaction-diffusion equation. Zbl 1086.34005
Feng, Zhaosheng; Chen, Goong
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
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
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
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
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
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
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. 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. 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. 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
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
Numerical study of non-Darcy forced convection in a packed bed saturated with a power-law fluid. Zbl 0926.76106
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
Boundary element methods. Zbl 0842.65071
Chen, Goong; Zhou, Jianxin
1992
Elastic-plastic finite element analysis of thermoplastic composite plates and shells. Zbl 0751.73060
Sun, C. T.; Chen, G.
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
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
Asymptotic locations of eigenfrequencies of Euler-Bernoulli beam with nonhomogeneous structural and viscous damping coefficients. Zbl 0759.93068
Wang, Hankun; Chen, Goong
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
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
Theory, designs and applications of point stabilizers for dynamic structures. Zbl 0850.93732
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
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
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### Cited by 1,270 Authors

 33 Chen, Goong 24 Guo, Bao-Zhu 21 Zhou, Jianxin 20 Xu, Gen-Qi 19 Huang, Yu 17 Ding, Xie Ping 13 Li, Zhaoxiang 12 Ezzinbi, Khalil 12 Lasiecka, Irena 12 Li, Liangliang 12 Tcheugoué Tébou, Louis Roder 11 Afrouzi, Ghasem Alizadeh 11 Han, Zhongjie 11 Mahdavi, Somayeh 11 Naghizadeh, Zohreh 10 Wang, Junmin 10 Xiang, Qiaomin 9 Huang, Tingwen 8 Chen, Guanrong 8 Ghnimi, Saifeddine 8 Gorain, Ganesh Chandra 8 Triggiani, Roberto 8 Yang, Qigui 8 Yao, Jen-Chih 8 Yao, Xudong 7 Ammari, Kais 7 Avalos, George 7 Cavalcanti, Marcelo Moreira 7 Ding, Zhonghai 7 Feng, Zhaosheng 7 Grimmer, Ronald 7 Hsu, Szebi 7 Jin, Fengfei 7 Sayas, Francisco-Javier 7 Tian, Guoqiang 7 Yang, Zhonghua 7 Zhang, Qiong 7 Zhu, Hailong 6 Kauffman, Louis Hirsch 6 Liu, Zhuangyi 6 Muñoz Rivera, Jaime Edilberto 6 Nicaise, Serge 6 Peng, Jianwen 6 Rapún, María-Luisa 5 Chen, Yuanlong 5 Clark, Haroldo Rodrigues 5 Coleman, Matthew P. 5 Cui, Lizhi 5 Domingos Cavalcanti, Valéria Neves 5 Geredeli, Pelin Guven 5 Ha, Tae Gab 5 Lin, Taichia 5 Liu, Yuxiang 5 Morgul, Omer 5 Shih, Chih-Wen 5 Toundykov, Daniel 5 van der Merwe, Alna 5 Wang, Zhi-Qiang 5 Yao, Pengfei 5 Zhou, Hua-Cheng 4 Antoine, Xavier 4 Benaissa, Abbes 4 Bose, Sujit Kumar 4 Chadli, Ouayl 4 Chai, Shugen 4 Cuevas, Claudio 4 De Jesus, Isaías Pereira 4 Feng, Hongyinping 4 Guo, Yanni 4 Hao, Jianghao 4 Kassay, Gábor 4 Kobayashi, Toshihiro 4 Li, Shengjia 4 Liang, Jin 4 Liu, Jiankang 4 Liu, Kangsheng 4 Liu, Weijiu 4 Maniar, Lahcen 4 Mercier, Denis 4 Peng, Shuangjie 4 Rao, Bopeng 4 Sadek, Ibrahim S. 4 Scalzo, Vincenzo 4 Shang, Yadong 4 Shi, Yuming 4 Shubov, Marianna A. 4 Soriano, Juan A. 4 Taoudi, Mohamed Aziz 4 Tucsnak, Marius 4 van Rensburg, Nicolaas F. J. 4 Weiss, George 4 Xiao, Ti-Jun 4 Yan, Qingxu 4 Yang, Fengyan 4 Zhao, Weirui 3 Ahmad, Rais 3 Ahmed, Nasir Uddin 3 Ansari, Qamrul Hasan 3 Bai, Yu 3 Boughamda, Walid ...and 1,170 more Authors
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### Cited in 254 Serials

 87 Journal of Mathematical Analysis and Applications 41 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 39 Journal of Differential Equations 26 Applied Mathematics and Computation 25 Automatica 24 Computers & Mathematics with Applications 23 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 22 Journal of Optimization Theory and Applications 20 International Journal of Control 20 Chaos, Solitons and Fractals 18 Systems & Control Letters 17 Journal of Computational and Applied Mathematics 15 SIAM Journal on Control and Optimization 14 Applicable Analysis 14 Mathematical Methods in the Applied Sciences 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 12 Journal of Mathematical Physics 12 Applied Mathematics and Optimization 12 Applied Mathematics and Mechanics. (English Edition) 12 Applied Mathematics Letters 9 Acta Mathematicae Applicatae Sinica. English Series 9 Nonlinear Analysis. Real World Applications 8 Numerical Functional Analysis and Optimization 8 Acta Applicandae Mathematicae 8 Evolution Equations and Control Theory 8 Nonlinear Analysis. Theory, Methods & Applications 7 Wave Motion 7 Numerical Methods for Partial Differential Equations 7 Applied Mathematical Modelling 6 Bulletin of the Australian Mathematical Society 6 Applied Numerical Mathematics 6 Optimization 6 Journal of Scientific Computing 6 Journal of Integral Equations and Applications 6 Science in China. Series A 6 Communications in Partial Differential Equations 6 Discrete and Continuous Dynamical Systems 6 Abstract and Applied Analysis 6 Journal of Evolution Equations 6 Boundary Value Problems 5 Mathematics of Computation 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Numerische Mathematik 5 Transactions of the American Mathematical Society 5 Computational Mechanics 5 Mathematical and Computer Modelling 5 Physics of Fluids 5 Advances in Computational Mathematics 5 Journal of Inequalities and Applications 5 Chaos 5 Communications in Nonlinear Science and Numerical Simulation 5 Journal of Dynamical and Control Systems 5 Discrete and Continuous Dynamical Systems. Series B 5 Discrete and Continuous Dynamical Systems. Series S 4 Journal of the Franklin Institute 4 Journal of Functional Analysis 4 Mathematics and Computers in Simulation 4 MCSS. Mathematics of Control, Signals, and Systems 4 Journal of Global Optimization 4 SIAM Journal on Scientific Computing 4 Electronic Journal of Differential Equations (EJDE) 4 Journal of Vibration and Control 4 Journal of Systems Science and Complexity 4 International Journal of Quantum Information 4 Journal of Fixed Point Theory and Applications 4 International Journal of Applied and Computational Mathematics 4 AMM. Applied Mathematics and Mechanics. (English Edition) 4 Electronic Research Archive 3 International Journal of Systems Science 3 Computing 3 Proceedings of the American Mathematical Society 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 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Journal of Applied Analysis 3 Differential Equations and Dynamical Systems 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Mediterranean Journal of Mathematics 3 Advances in Difference Equations 3 Afrika Matematika 2 Computer Physics Communications 2 International Journal of Engineering Science 2 International Journal of Theoretical Physics 2 Inverse Problems 2 Journal of Computational Physics 2 Journal of Engineering Mathematics 2 Journal of Fluid Mechanics 2 Calcolo 2 Integral Equations and Operator Theory 2 Kybernetika 2 Mathematische Zeitschrift 2 Zeitschrift für Analysis und ihre Anwendungen 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Asymptotic Analysis 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Numerical Algorithms 2 International Journal of Computer Mathematics ...and 154 more Serials
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### Cited in 47 Fields

 529 Partial differential equations (35-XX) 297 Systems theory; control (93-XX) 191 Mechanics of deformable solids (74-XX) 167 Numerical analysis (65-XX) 114 Operator theory (47-XX) 88 Dynamical systems and ergodic theory (37-XX) 83 Calculus of variations and optimal control; optimization (49-XX) 64 Ordinary differential equations (34-XX) 61 Fluid mechanics (76-XX) 56 Integral equations (45-XX) 35 Operations research, mathematical programming (90-XX) 35 Biology and other natural sciences (92-XX) 31 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 30 Quantum theory (81-XX) 27 Global analysis, analysis on manifolds (58-XX) 21 Mechanics of particles and systems (70-XX) 16 Computer science (68-XX) 15 General topology (54-XX) 13 Difference and functional equations (39-XX) 13 Optics, electromagnetic theory (78-XX) 13 Classical thermodynamics, heat transfer (80-XX) 12 Probability theory and stochastic processes (60-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 8 Functional analysis (46-XX) 8 Statistical mechanics, structure of matter (82-XX) 8 Information and communication theory, circuits (94-XX) 7 Potential theory (31-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Special functions (33-XX) 5 Differential geometry (53-XX) 4 Approximations and expansions (41-XX) 4 Convex and discrete geometry (52-XX) 3 Group theory and generalizations (20-XX) 3 Real functions (26-XX) 3 Integral transforms, operational calculus (44-XX) 3 Algebraic topology (55-XX) 3 Manifolds and cell complexes (57-XX) 2 Number theory (11-XX) 2 Category theory; homological algebra (18-XX) 2 Measure and integration (28-XX) 2 Abstract harmonic analysis (43-XX) 2 Statistics (62-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Relativity and gravitational theory (83-XX)