HR job title
- Professor
- Contact Info
Chen, Goong Professor
Positions
- Professor, Mathematics, College of Arts and Sciences
I have research interests in many areas of applied and computational mathematics:
control theory for partial differential equations (PDEs), boundary element
methods and numerical solutions of PDEs, engineering mechanics, chaotic dynamics,
quantum computation, chemical physics and quantum mechanics.
control theory for partial differential equations (PDEs), boundary element
methods and numerical solutions of PDEs, engineering mechanics, chaotic dynamics,
quantum computation, chemical physics and quantum mechanics.
- Overview
- Publications
- Research
- Teaching
- Works By Students
- Background
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Overview
Publications
selected publications
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academic article
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Tian, J., Cai, M., Luo, Z., You, Y., & Chen, G.
(2019).
A 3D OpenFOAM based finite volume solver for incompressible Oldroyd-B model with infinity relaxation time. Communications in Nonlinear Science and Numerical Simulation.
78, 104876-104876.
-
Liu, X., Zheng, L., Chen, G., & Ma, L.
(2019).
Coupling Effects of Viscous Sheet and Ambient Fluid on Boundary Layer Flow and Heat Transfer in Power-Law Fluids. Journal of Heat Transfer.
141(6), 061701.
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Yeh, J., Chen, G., Gu, C., Thurman, J. T., Sergeev, A., Wei, C., ... Mustafa, M. T.
(2019).
Computational modeling and forensic analysis for terrorist airplane bombing: A case study. Engineering Fracture Mechanics.
211, 137-160.
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Li, L., Tian, J., & Chen, G.
(2018).
Chaotic Vibration of a Two-dimensional Non-strictly Hyperbolic Equation. Canadian Mathematical Bulletin.
61(4), 768-786.
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Agarwal, G., Allen, R. E., Bezdekova, I., Boyd, R. W., Chen, G., Hanson, R., ... Zheludev, N.
(2018).
Light, the universe and everything-12 Herculean tasks for quantum cowboys and black diamond skiers. Journal of Modern Optics.
65(11), 1261-1308.
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Yang, F., Yao, P., & Chen, G.
(2018).
Boundary controllability of structural acoustic systems with variable coefficients and curved walls. Mathematics of Control, Signals, and Systems.
30(1), 5.
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Pan, M., Zheng, L., Liu, C., Liu, F., Lin, P., & Chen, G.
(2018).
A stochastic model for thermal transport of nanofluid in porous media: Derivation and applications. Computers and Mathematics with Applications.
75(4), 1226-1236.
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Chen, G.
(2017).
Editorial on 'Vector theory of gravity: Universe without black holes and solution of dark energy problem' by A Svidzinsky. Physica Scripta.
92(12), 120201-120201.
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Lin, T., Belic, M. R., Petrovic, M. S., Hajaiej, H., & Chen, G.
(2017).
The virial theorem and ground state energy estimates of nonlinear Schrodinger equations in R2 with square root and saturable nonlinearities in nonlinear optics. Calculus of Variations and Partial Differential Equations.
56(5), 147.
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Yang, F., Bin-Mohsin, B., Chen, G., & Yao, P.
(2017).
Exact-approximate boundary controllability of the thermoelastic plate with a curved middle surface. Journal of Mathematical Analysis and Applications.
451(1), 405-433.
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Dangui-Mbani, U. O., Sui, J., Zheng, L., Bin-Mohsin, B., & Chen, G.
(2017).
Fisher-Kolmogorov-Petrovsky-Piscounov Reaction and n-Diffusion Cattaneo Telegraph Equation. Journal of Heat Transfer.
139(7), 074502.
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Chen, G., Ding, Z., Huang, T., Yu, L., Ramakrishna, V., & Ward, J.
(2017).
Application of the virial theorem for improving eigenvalue calculations of multiparticle systems. Journal of Computational and Applied Mathematics.
313, 469-485.
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Chen, G., Wang, Y., Perronnet, A., Gu, C., Yao, P., Bin-Mohsin, B., Hajaiej, H., & Scully, M. O.
(2017).
The advanced role of computational mechanics and visualization in science and technology: analysis of the Germanwings Flight 9525 crash. 92(3), 033002-033002.
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Sui, J., Zhao, P., Bin-Mohsin, B., Zheng, L., Zhang, X., Cheng, Z., Chen, Y., & Chen, G.
(2016).
Fractal aggregation kinetics contributions to thermal conductivity of nano-suspensions in unsteady thermal convection. Scientific Reports.
6(1), 39446.
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Shao, Z., Munao, S., Aron, R., Chen, G., & Krantz, S.
(2016).
Global existence of classical solutions to the Cauchy problem on a semi-bounded initial axis for a nonhomogeneous quasilinear hyperbolic system (vol 325, pg 205, 2007). Journal of Mathematical Analysis and Applications.
444(1), 825-825.
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Dangui-Mbani, U. O., Sui, J., Ming, C., Zheng, L., & Chen, G.
(2016).
Heat transfer analysis for a free boundary problem arising in n-diffusion equation. Propulsion and Power Research.
5(4), 261-266.
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Lin, Y., Li, B., Zheng, L., & Chen, G.
(2016).
Particle shape and radiation effects on Marangoni boundary layer flow and heat transfer of copper-water nanofluid driven by an exponential temperature. Powder Technology.
301, 379-386.
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Chen, G., Tian, J., Bin-Mohsin, B., Nessler, R., Svidzinsky, A., & Scully, M. O.
(2016).
Parametric resonances: from the Mathieu equation to QASER. Physica Scripta.
91(7), 073004-073004.
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Li, C., Zheng, L., Zhang, X., & Chen, G.
(2016).
Flow and heat transfer of a generalized Maxwell fluid with modified fractional Fourier's law and Darcy's law. Computers and Fluids.
125, 25-38.
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Liu, Y., Bin-Mohsin, B., Hajaiej, H., Yao, P., & Chen, G.
(2016).
EXACT CONTROLLABILITY OF STRUCTURAL ACOUSTIC INTERACTIONS WITH VARIABLE COEFFICIENTS. SIAM Journal of Control and Optimization.
54(4), 2132-2153.
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Jiao, C., Zheng, L., Lin, Y., Ma, L., & Chen, G.
(2016).
Marangoni abnormal convection heat transfer of power-law fluid driven by temperature gradient in porous medium with heat generation. International Journal of Heat and Mass Transfer.
92, 700-707.
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Li, L., Huang, Y. u., Chen, G., & Huang, T.
(2015).
Chaotic Oscillations of Second Order Linear Hyperbolic Equations with Nonlinear Boundary Conditions: A Factorizable but Noncommutative Case. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.
25(11), 1530032-1530032.
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Lu, L., Li, S., Chen, G., & Yao, P.
(2015).
Control and stabilization for the wave equation with variable coefficients in domains with moving boundary. Systems & control letters (Print).
80, 30-41.
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Sui, J., Zheng, L., Zhang, X., & Chen, G.
(2015).
Mixed convection heat transfer in power law fluids over a moving conveyor along an inclined plate. International Journal of Heat and Mass Transfer.
85, 1023-1033.
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Lin, Y., Zheng, L., Zhang, X., Ma, L., & Chen, G.
(2015).
MHD pseudo-plastic nanofluid unsteady flow and heat transfer in a finite thin film over stretching surface with internal heat generation. International Journal of Heat and Mass Transfer.
84, 903-911.
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Chen, G., Gu, C., Morris, P. J., Paterson, E. G., Sergeev, A., Wang, Y., & Wierzbicki, T.
(2015).
Malaysia Airlines Flight MH370: Water Entry of an Airliner. Notices of the American Mathematical Society.
62(04), 330-344.
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Lin, Y., Zheng, L., & Chen, G.
(2015).
Unsteady flow and heat transfer of pseudo-plastic nanoliquid in a finite thin film on a stretching surface with variable thermal conductivity and viscous dissipation. Powder Technology.
274, 324-332.
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Zhang, C., Zheng, L., Zhang, X., & Chen, G.
(2015).
MHD flow and radiation heat transfer of nanofluids in porous media with variable surface heat flux and chemical reaction. Applied Mathematical Modelling.
39(1), 165-181.
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Chen, G., Sun, B. o., & Huang, T.
(2014).
Chaotic Oscillations of Solutions of the Klein-Gordon Equation Due to Imbalance of Distributed and Boundary Energy Flows. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.
24(7), 1430021-1430021.
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Dai, X., Huang, T., Huang, Y. u., & Chen, G.
(2014).
Chaotic Oscillations of Solutions of First Order Hyperbolic Systems in 1D with Nonlinear Boundary Conditions. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.
24(5), 1450072-1450072.
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Chen, G., Xiong, Q., Morris, P. J., Paterson, E. G., Sergeev, A., & Wang, Y.
(2014).
OpenFOAM for Computational Fluid Dynamics. Notices of the American Mathematical Society.
61(4), 354-354.
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Lin, T., Belic, M. R., Petrovic, M. S., & Chen, G.
(2014).
Ground states of nonlinear Schrodinger systems with saturable nonlinearity in R-2 for two counterpropagating beams. Journal of Mathematical Physics.
55(1), 011505-011505.
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Chen, G., Huang, T., Mariani, M. C., Espandeary, R., Kanes, R., Sheriff, M., & Srinivasan, S.
(2013).
Spectral analysis and generation of certain highly oscillatory curves related to chaos, part 2: Calculation aspects. Physica A: Statistical Mechanics and its Applications.
392(18), 4036-4047.
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Chen, G.
(2013).
Dr. James Sai-Wing Wong, new Honorary Editor of the JMAA. Journal of Mathematical Analysis and Applications.
405(2), 345-348.
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Zhong, W., Belic, M. R., Malomed, B. A., Huang, T., & Chen, G.
(2013).
Accessible spatiotemporal parabolic-cylinder solitons. Journal of Physics B: Atomic, Molecular and Optical Physics.
46(7), 075401-075401.
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Lin, T., Belic, M. R., Petrovic, M. S., Aleksic, N. B., & Chen, G.
(2013).
Ground-state counterpropagating solitons in photorefractive media with saturable nonlinearity. Journal of the Optical Society of America. B, Optical physics.
30(4), 1036-1040.
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Chen, G.
(2012).
Interdisciplinary ResearchMathematical Interactions Viewed from Four Portrayals. Notices of the American Mathematical Society.
59(09), 1246-1246.
-
Chen, G., Mariani, M. C., SenGupta, I., & Mai, N.
(2012).
Spectral analysis and generation of certain highly oscillatory curves related to chaos. Physica A: Statistical Mechanics and its Applications.
391(4), 1453-1468.
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SenGupta, I., Sun, B. o., Jiang, W., Chen, G., & Mariani, M. C.
(2012).
Concentration Problems for Bandpass Filters in Communication Theory over Disjoint Frequency Intervals and Numerical Solutions. Journal of Fourier Analysis and Applications.
18(1), 182-210.
-
Chen, G., Laane, J., Wheeler, S. E., & Zhang, Z.
(2011).
Greenhouse gas molecules: A mathematical perspective. Notices of the American Mathematical Society.
58(11), 1421-1434.
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Chen, G., Hsu, S., Huang, Y. u., & Roque-Sol, M. A.
(2011).
THE SPECTRUM OF CHAOTIC TIME SERIES (I): FOURIER ANALYSIS. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.
21(5), 1439-1456.
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Chen, G., Hsu, S., Huang, Y. u., & Roque-Sol, M. A.
(2011).
THE SPECTRUM OF CHAOTIC TIME SERIES (II): WAVELET ANALYSIS. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.
21(5), 1457-1467.
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Ding, Z., & Chen, G.
(2011).
Analysis and algorithms for the computation of the excited states of helium. Journal of Computational and Applied Mathematics.
235(8), 2041-2062.
-
Ding, Z., Chen, G., & Lin, C.
(2010).
Mathematical analysis of the dimensional scaling technique for the Schrodinger equation with power-law potentials. Journal of Mathematical Physics.
51(12), 123508-123508.
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Chen, G.
(2010).
DAVID L. RUSSELL AND A SURVEY OF HIS MATHEMATICAL WORK. Discrete and Continuous Dynamical Systems Series B: a journal bridging mathematics and sciences.
14(4), 1265-1277.
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Chen, G., Yao, P., Yong, J., Zhang, B., & Zhang, X. u.
(2010).
Foreword. Discrete & Continuous Dynamical Systems - B.
14(4), i-i.
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Chen, G., Ding, Z., Lin, C., Herschbach, D., & Scully, M. O.
(2010).
Variational justification of the dimensional-scaling method in chemical physics: the H-atom. Journal of Mathematical Chemistry.
48(3), 791-811.
-
Chen, G., Yao, P., Yong, J., Zhang, B., & Zhang, X. u.
(2010).
Editorial. Journal of Systems Science and Complexity.
23(3), 413-413.
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Krantz, S. G., Chen, G., & Aron, R. M.
(2009).
Appreciation from the Editors. Journal of Mathematical Analysis and Applications.
360(2), 759-759.
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Zhong, W. P., Belic, M., Xie, R. H., Chen, G., & Lu, Y. Q.
(2009).
Dynamically compressed bright and dark solitons in highly anisotropic Bose-Einstein condensates. European Physical Journal D.
55(1), 147-153.
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Feng, Z., & Chen, G.
(2009).
TRAVELING WAVE SOLUTIONS IN PARAMETRIC FORMS FOR A DIFFUSION MODEL WITH A NONLINEAR RATE OF GROWTH. Discrete and Continuous Dynamical Systems Series A.
24(3), 763-780.
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Petrovi, N. Z., Beli, M., Zhong, W., Xie, R., & Chen, G.
(2009).
Exact spatiotemporal wave and soliton solutions to the generalized (3+1)-dimensional Schrdinger equation for both normal and anomalous dispersion. Optics Letters.
34(10), 1609-1611.
-
Zhong, W., Yang, Z., Xie, R., Belic, M., & Chen, G.
(2009).
Two-Dimensional Spatial Solitons in Nematic Liquid Crystals. Communications in Theoretical Physics.
51(2), 324-330.
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Svidzinsky, A., Chen, G., Chin, S., Kim, M., Ma, D., Murawski, R., ... Herschbach, D.
(2008).
Bohr model and dimensional scaling analysis of atoms and molecules. International Reviews in Physical Chemistry.
27(4), 665-723.
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Beli, M., Petrovi, N., Zhong, W., Xie, R., & Chen, G.
(2008).
Analytical light bullet solutions to the generalized (3+1)-dimensional nonlinear Schrdinger equation. Physical Review Letters.
101(12), 123904.
-
Zhong, W., Yi, L., Yang, Z., Xie, R., Belic, M., & Chen, G.
(2008).
Collisions of two spatial solitons in inhomogeneous nonlinear media. Communications in Theoretical Physics.
50(3), 749-752.
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Zhong, W., Xie, R., Belic, M., Petrovic, N., & Chen, G.
(2008).
Exact spatial soliton solutions of the two-dimensional generalized nonlinear Schrodinger equation with distributed coefficients (vol 78, art no 023821, 2008). Physical Review A: Atomic, Molecular and Optical Physics.
78(3), 039906.
-
Zhong, W., Belic, M., Xie, R., & Chen, G.
(2008).
Two-dimensional Whittaker solitons in nonlocal nonlinear media (vol 78, art no 013826, 2008). Physical Review A: Atomic, Molecular and Optical Physics.
78(3), 039905.
-
Zhong, W., Xie, R., Belic, M., Petrovic, N., & Chen, G.
(2008).
Exact spatial soliton solutions of the two-dimensional generalized nonlinear Schrodinger equation with distributed coefficients. Physical Review A: Atomic, Molecular and Optical Physics.
78(2), 023821.
-
Zhong, W., Xie, R., Belic, M., Petrovic, N., & Chen, G.
(2008).
Exact spatial soliton solutions of the two-dimensional generalized nonlinear Schrodinger equation with distributed coefficients (vol 78, art no 023821, 2008). Physical Review A: Atomic, Molecular and Optical Physics.
78(2), 029905.
-
Zhong, W., Belic, M., Xie, R., & Chen, G.
(2008).
Two-dimensional Whittaker solitons in nonlocal nonlinear media. Physical Review A: Atomic, Molecular and Optical Physics.
78(1), 013826.
-
Chen, G., Ding, Z., Perronnet, A., & Zhang, Z.
(2008).
Visualization and dimensional scaling for some three-body problems in atomic and molecular quantum mechanics. Journal of Mathematical Physics.
49(6), 062102-062102.
-
Zhong, W., Yi, L., Xie, R., Belic, M., & Chen, G.
(2008).
Robust three-dimensional spatial soliton clusters in strongly nonlocal media. Journal of Physics B: Atomic, Molecular and Optical Physics.
41(2), 025402-025402.
-
Huang, T., Li, C., & Chen, G.
(2007).
Stability of Cohen-Grossberg neural networks with unbounded distributed delays. Chaos, Solitons and Fractals.
34(3), 992-996.
-
Krantz, S. G., Aron, R. M., & Chen, G.
(2007).
On the composition of the distributions x(+)(lambda) and x(+)(mu) by Brian Fisher and Kenan Tas (Retraction of vol 318, pg 102, 2006). Journal of Mathematical Analysis and Applications.
330(2), 1494-1494.
-
Huang, Y. u., Chen, G., & Ma, D.
(2006).
Rapid fluctuations of chaotic maps on RN. Journal of Mathematical Analysis and Applications.
323(1), 228-252.
-
Feng, Z., Chen, G., & Hsu, S.
(2006).
A qualitative study of the damped duffing equation and applications. Discrete and Continuous Dynamical Systems Series B: a journal bridging mathematics and sciences.
6(5), 1097-1112.
-
Chen, G., Diao, Z., Kim, J. U., Neogi, A., Urtekin, K., & Zhang, Z.
(2006).
Quantum dot computing gates. International Journal of Quantum Information.
4(2), 233-296.
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Chen, G., Ding, Z. H., Hsu, S. B., Kim, M., & Zhou, J. X.
(2006).
Mathematical analysis of a Bohr atom model. Journal of Mathematical Physics.
47(2), 022107-022107.
-
Huang, Y. u., Chen, G., & Ma, D.
(2006).
Rapid fluctuations of chaotic maps on R-N. Journal of Mathematical Analysis and Applications.
323(1), 228-252.
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Chen, G., Chin, S. A., Dou, Y. S., Kapale, K. T., Kim, M., Svidzinsky, A. A., ... Scully, M. O.
(2005).
The two electron molecular bond revisited: From Bohr orbits to two-center orbitals. Advances in Atomic, Molecular and Optical Physics.
51, 93-238.
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Feng, Z. S., & Chen, G. N.
(2005).
Traveling wave behavior for a nonlinear reaction-diffusion equation. 12(5), 643-664A.
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Feng, Z. S., & Chen, G.
(2005).
Solitary wave solutions of the compound Burgers-Korteweg-de Vries equation. Physica A: Statistical Mechanics and its Applications.
352(2-4), 419-435.
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Ding, Z. H., Chen, G., & Li, S. J.
(2005).
On positive solutions of the elliptic sine-Gordon equation. Communications on Pure and Applied Analysis.
4(2), 283-294.
-
Chen, G., & Huang, T. W.
(2004).
Chaotic behavior of interval maps and total variations of iterates. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.
14(7), 2161-2186.
-
Scully, M. O., Allen, R. E., Dou, Y. S., Kapale, K. T., Kim, M., Chen, G., & Svidzinsky, A.
(2004).
Molecular calculations with two-center correlated orbitals. CHEMICAL PHYSICS LETTERS.
389(4-6), 385-392.
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Bowden, C. M., Chen, G., Diao, Z. J., & Klappenecker, A.
(2002).
The universality of the quantum Fourier transform in forming the basis of quantum computing algorithms. Journal of Mathematical Analysis and Applications.
274(1), 69-80.
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Diao, Z. J., Zubairy, M. S., & Chen, G.
(2002).
A quantum circuit design for Grover's algorithm. Zeitschrift fur Naturforschung A.
57(8), 701-708.
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Chen, G., Hsu, S. B., & Zhou, J. X.
(2002).
Nonisotropic spatiotemporal chaotic vibration of the wave equation due to mixing energy transport and a van der Pol boundary condition. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.
12(3), 535-559.
-
Chen, G., Fulling, S. A., & Chen, J.
(2002).
Generalization of grovers algorithm to multiobject search in quantum computing, part I: Continuous time and discrete time. 135-160.
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Chen, G., & Diao, Z. J.
(2001).
Quantum multi-object search algorithm with the availability of partial information. Zeitschrift fur Naturforschung A.
56(12), 879-888.
-
Huang, C. M., Li, S. F., Fu, H. Y., & Chen, G. N.
(2001).
D-convergence of one-leg methods for stiff delay differential equations. 19(6), 601-606.
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Chen, G., Fulling, S. A., Lee, H., & Scully, M. O.
(2001).
Grover's algorithm for multiobject search in quantum computing. Lecture Notes in Physics.
561, 165-175.
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Chen, G., Ni, W. M., Perronnet, A., & Zhou, J. X.
(2001).
Algorithms and visualization for solutions of nonlinear elliptic equations part II: Dirichlet, Neumann and Robin boundary conditions and problems in 3D. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.
11(7), 1781-1799.
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Chen, G., Zhou, J. X., & Ni, W. M.
(2000).
Algorithms and visualization for solutions of nonlinear elliptic equations. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.
10(7), 1565-1612.
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Chen, G., Coleman, M. P., Ma, D. W., Morris, P. J., & You, P. H.
(2000).
The fundamental solution for shallow circular cylindrical shells - Part I: derivations. International Journal of Engineering Science.
38(11), 1235-1257.
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Chen, G., Coleman, M. P., & Morris, P. J.
(2000).
The fundamental solution for shallow circular cylindrical shells - Part II: numerical computation and software. International Journal of Engineering Science.
38(11), 1259-1274.
-
Chen, G., Deng, Y. H., Ni, W. M., & Zhou, J. X.
(2000).
Boundary element monotone iteration scheme for semilinear elliptic partial differential equations, part II: Quasimonotone iteration for coupled 2 x 2 systems. Mathematics of Computation.
69(230), 629-652.
-
Ding, Z. H., Costa, D., & Chen, G.
(1999).
A high-linking algorithm for sign-changing solutions of semilinear elliptic equations. Nonlinear Analysis Theory Methods and Applications.
38(2), 151-172.
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Chen, G. O., Hsu, S. B., Zhou, J. X., Chen, G. R., & Crosta, G.
(1998).
Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition - Part I: Controlled hysteresis. Transactions of the American Mathematical Society.
350(11), 4265-4311.
-
Chen, G., Hsu, S. B., & Zhou, J. X.
(1998).
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. Journal of Mathematical Physics.
39(12), 6459-6489.
-
Chen, G., Coleman, M. P., & Ding, Z.
(1998).
Some corner effects on the loss of selfadjointness and the non-excitation of vibration for thin plates and shells. Quarterly Journal of Mechanics and Applied Mathematics.
51(2), 213-239.
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Chen, G., Hsu, S. B., & Zhou, J. X.
(1998).
Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. II. Energy injection, period doubling and homoclinic orbits. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.
8(3), 423-445.
-
Chen, G., Hsu, S. B., & Zhou, J. X.
(1998).
Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. III. Natural hysteresis memory effects. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.
8(3), 447-470.
-
Chen, G., Coleman, M. P., & Liu, K.
(1998).
Boundary stabilization of Donnell's shallow circular cylindrical shell. Journal of Sound and Vibration.
209(2), 265-298.
-
Chen, G., Fulling, S. A., & Zhou, J. X.
(1997).
Asymptotic equipartition of energy by nodal points of an eigenfunction. Journal of Mathematical Physics.
38(10), 5350-5360.
-
Chen, G., & Coleman, M. P.
(1997).
Improving low order eigenfrequency estimates derived from the wave propagation method for an Euler-Bernoulli beam. Journal of Sound and Vibration.
204(4), 696-704.
-
Yang, J. X., Yang, X. L., Chen, G. O., Hu, B. Y., Shen, G. T., & Jiang, K. Y.
(1997).
Magneto-impedance effect in soft Fe-based nanocrystalline alloys. Chinese Science Bulletin.
42(3), 196-199.
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Chen, G. O., Zhou, J. X., & Hsu, S. B.
(1996).
Linear superposition of chaotic and orderly vibrations on two serially connected strings with a Van der Pol joint. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.
6(8), 1509-1527.
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Deng, Y. H., Chen, G., Ni, W. M., & Zhou, J. X.
(1996).
Boundary element monotone iteration scheme for semilinear elliptic partial differential equations. Mathematics of Computation.
65(215), 943-982.
-
CHEN, G., MORRIS, P. J., & ZHOU, J. X.
(1994).
VISUALIZATION OF SPECIAL EIGENMODE SHAPES OF A VIBRATING ELLIPTIC MEMBRANE. SIAM Review.
36(3), 453-469.
-
VISWANATHAN, K., MORRIS, P. J., & CHEN, G.
(1994).
LINEAR INSTABILITY WAVES IN SUPERSONIC JETS CONFINED IN CIRCULAR AND NONCIRCULAR DUCTS. Journal of Sound and Vibration.
171(2), 231-253.
-
CHEN, G., & SUN, S. H.
(1993).
AUGMENTING A FREDHOLM OPERATOR OF ZERO INDEX TO ACHIEVE INVERTIBILITY FOR ELLIPTIC BOUNDARY-VALUE-PROBLEMS. Journal of Mathematical Analysis and Applications.
176(1), 24-48.
-
CHEN, G., COLEMAN, M. P., & ZHOU, J. X.
(1992).
THE EQUIVALENCE BETWEEN THE WAVE-PROPAGATION METHOD AND BOLOTIN METHOD IN THE ASYMPTOTIC ESTIMATION OF EIGENFREQUENCIES OF A RECTANGULAR PLATE. Wave Motion.
16(3), 285-297.
-
CHEN, G., & QUAN, Z.
(1992).
MINIMAX METHODS FOR OPEN-LOOP EQUILIBRA IN N-PERSON DIFFERENTIAL-GAMES .2. DUALITY AND PENALTY THEORY. 10(4), 305-320.
-
CHEN, G., MIIES, W. H., SHAW, W. H., & QUAN, Z.
(1992).
MINIMAX METHODS FOR OPEN-LOOP EQUILIBRA IN N-PERSON DIFFERENTIAL-GAMES .3. DUALITY AND PENALTY FINITE-ELEMENT METHODS. 10(4), 321-338.
-
Chen, G., Huang, F., & Lin, C.
(1992).
More boundary energy dissipation does not necessarily imply larger asymptotic decay rates. ASYMPTOTIC ANALYSIS.
6(2), 191-203.
-
CHEN, G., COLEMAN, M. P., & ZHOU, J. X.
(1991).
ANALYSIS OF VIBRATION EIGENFREQUENCIES OF A THIN PLATE BY THE KELLER-RUBINOW WAVE METHOD .1. CLAMPED BOUNDARY-CONDITIONS WITH RECTANGULAR OR CIRCULAR GEOMETRY. SIAM Journal on Applied Mathematics.
51(4), 967-983.
-
ZHOU, J. X., & CHEN, G.
(1991).
THE WAVE METHOD FOR DETERMINING THE ASYMPTOTIC DAMPING RATES OF EIGENMODES .1. THE WAVE-EQUATION ON A RECTANGULAR OR CIRCULAR DOMAIN. SIAM Journal of Control and Optimization.
29(3), 656-677.
-
WANG, H. K., & CHEN, G.
(1991).
ASYMPTOTIC LOCATIONS OF EIGENFREQUENCIES OF EULER-BERNOULLI BEAM WITH NONHOMOGENEOUS STRUCTURAL AND VISCOUS DAMPING COEFFICIENTS. SIAM Journal of Control and Optimization.
29(2), 347-367.
-
CHEN, G., FULLING, S. A., NARCOWICH, F. J., & SUN, S.
(1991).
EXPONENTIAL DECAY OF ENERGY OF EVOLUTION-EQUATIONS WITH LOCALLY DISTRIBUTED DAMPING. SIAM Journal on Applied Mathematics.
51(1), 266-301.
-
CHEN, G., FULLING, S. A., NARCOWICH, F. J., & QI, C.
(1990).
AN ASYMPTOTIC AVERAGE DECAY-RATE FOR THE WAVE-EQUATION WITH VARIABLE-COEFFICIENT VISCOUS DAMPING. SIAM Journal on Applied Mathematics.
50(5), 1341-1347.
-
CHEN, G., & ZHOU, J. X.
(1990).
THE WAVE-PROPAGATION METHOD FOR THE ANALYSIS OF BOUNDARY STABILIZATION IN VIBRATING STRUCTURES. SIAM Journal on Applied Mathematics.
50(5), 1254-1283.
-
CHEN, G., KRANTZ, S. G., RUSSELL, D. L., WAYNE, C. E., WEST, H. H., & COLEMAN, M. P.
(1989).
ANALYSIS, DESIGNS, AND BEHAVIOR OF DISSIPATIVE JOINTS FOR COUPLED BEAMS. SIAM Journal on Applied Mathematics.
49(6), 1665-1693.
-
LIU, K. S., HUANG, F. L., & CHEN, G.
(1989).
EXPONENTIAL STABILITY ANALYSIS OF A LONG-CHAIN OF COUPLED VIBRATING STRINGS WITH DISSIPATIVE LINKAGE. SIAM Journal on Applied Mathematics.
49(6), 1694-1707.
-
Morris, P. J., Bhat, T., & Chen, G.
(1989).
A linear shock cell model for jets of arbitrary exit geometry. Journal of Sound and Vibration.
132(2), 199-211.
-
WANG, H. K., & CHEN, G.
(1989).
ASYMPTOTIC-BEHAVIOR OF SOLUTIONS OF THE ONE-DIMENSIONAL WAVE-EQUATION WITH A NONLINEAR BOUNDARY STABILIZER. SIAM Journal of Control and Optimization.
27(4), 758-775.
-
CHEN, G., BRIDGES, T. J., & ZHOU, J.
(1988).
MINIMIZING THE REFLECTION OF WAVES BY SURFACE IMPEDANCE USING BOUNDARY ELEMENTS AND GLOBAL OPTIMIZATION. Wave Motion.
10(3), 239-255.
-
ZHOU, J. X., & CHEN, G. N.
(1988).
DIAGONAL CONVEXITY CONDITIONS FOR PROBLEMS IN CONVEX-ANALYSIS AND QUASI-VARIATIONAL INEQUALITIES. Journal of Mathematical Analysis and Applications.
132(1), 213-225.
-
CHEN, G. O., CHEN, C. P., & ARONOV, I.
(1988).
A BOUNDARY ELEMENT METHOD BASED ON CAUCHY INTEGRALS FOR SOME LINEAR QUADRATIC BOUNDARY CONTROL-PROBLEMS ON A CIRCLE. Optimal Control Applications and Methods.
9(1), 93-100.
-
CHEN, G., KRANTZ, S. G., RUSSELL, D. L., WAYNE, C. E., WEST, H. H., & ZHOU, J. X.
(1988).
MODELING, ANALYSIS AND TESTING OF DISSIPATIVE BEAM JOINTS - EXPERIMENTS AND DATA SMOOTHING. Mathematical and Computer Modelling.
11(C), 1011-1016.
-
CHEN, G., & TSAI, Y. L.
(1987).
THE BOUNDARY ELEMENT NUMERICAL-METHOD FOR TWO-DIMENSIONAL LINEAR QUADRATIC ELLIPTIC PROBLEMS - (I) NEUMANN CONTROL. Mathematics of Computation.
49(180), 479-498.
-
CHEN, G., COLEMAN, M., & WEST, H. H.
(1987).
POINTWISE STABILIZATION IN THE MIDDLE OF THE SPAN FOR 2ND-ORDER SYSTEMS, NONUNIFORM AND UNIFORM EXPONENTIAL DECAY OF SOLUTIONS. SIAM Journal on Applied Mathematics.
47(4), 751-780.
-
CHEN, G., DELFOUR, M. C., KRALL, A. M., & PAYRE, G.
(1987).
MODELING, STABILIZATION AND CONTROL OF SERIALLY CONNECTED BEAMS. SIAM Journal of Control and Optimization.
25(3), 526-546.
-
CHEN, G., & WANG, H. K.
(1987).
POINTWISE STABILIZATION FOR COUPLED QUASILINEAR AND LINEAR WAVE-EQUATIONS. Lecture Notes in Control and Information Sciences.
102, 40-63.
-
BRIDGES, T. J., CHEN, G., & CROSTA, G.
(1987).
MINIMIZING THE REFLECTION OF ELECTROMAGNETIC-WAVES BY SURFACE IMPEDANCE. Wave Motion.
9(1), 19-36.
-
CHEN, G., ZHENG, Q., & ZHOU, J. X.
(1986).
MINIMAX METHODS FOR OPEN-LOOP EQUILIBRIA IN N-PERSON DIFFERENTIAL-GAMES .1. LINEAR QUADRATIC GAMES AND CONSTRAINED GAMES. Proceedings of the Royal Society of Edinburgh Section A Mathematics.
103(1-2), 15-34.
-
CHEN, G., & BRIDGES, T. J.
(1985).
OPTIMAL BOUNDARY IMPEDANCE FOR THE MINIMIZATION OF REFLECTION .1. ASYMPTOTIC SOLUTIONS BY THE GEOMETRICAL-OPTICS METHOD. Optimal Control Applications and Methods.
6(2), 141-149.
-
CHEN, G. N., SUN, S. H., & ZHENG, Q.
(1984).
WELL-POSEDNESS, CONTROL AND COMPUTATION OF A ONE-PHASE STEFAN PROBLEM WITH NEUMANN CONDITION. Proceedings of the Royal Society of Edinburgh Section A Mathematics.
98(1-2), 105-148.
-
CHEN, G., MILLS, W. H., SUN, S. H., & YOST, D. A.
(1983).
SHARP ERROR-ESTIMATES FOR A FINITE-ELEMENT PENALTY APPROACH TO A CLASS OF REGULATOR PROBLEMS. Mathematics of Computation.
40(161), 151-173.
-
Chen, G., Mills, W. H., Sun, S. H., & Yost, D. A.
(1983).
Sharp error estimates for a finite element-penalty approach to a class of regulator problems. Mathematics of Computation.
40(161), 151-173.
-
Chen, G., & Grimmer, R.
(1982).
Integral equations as evolution equations. Journal of Differential Equations.
45(1), 53-74.
-
CHEN, G., & RUSSELL, D. L.
(1982).
A MATHEMATICAL-MODEL FOR LINEAR ELASTIC-SYSTEMS WITH STRUCTURAL DAMPING. Quarterly of Applied Mathematics.
39(4), 433-454.
-
CHEN, G., MILLS, W. H., & CROSTA, G.
(1981).
EXACT CONTROLLABILITY THEOREMS AND NUMERICAL SIMULATIONS FOR SOME NON-LINEAR DIFFERENTIAL-EQUATIONS. SIAM Journal of Control and Optimization.
19(6), 765-790.
-
CHEN, G., & MILLS, W. H.
(1981).
FINITE-ELEMENTS AND TERMINAL PENALIZATION FOR QUADRATIC COST OPTIMAL-CONTROL PROBLEMS GOVERNED BY ORDINARY DIFFERENTIAL-EQUATIONS. SIAM Journal of Control and Optimization.
19(6), 744-764.
-
CHEN, G.
(1981).
A NOTE ON THE BOUNDARY STABILIZATION OF THE WAVE-EQUATION. SIAM Journal of Control and Optimization.
19(1), 106-113.
-
CHEN, G.
(1981).
CONTROL AND STABILIZATION FOR THE WAVE-EQUATION IN A BOUNDED DOMAIN, PART .2. SIAM Journal of Control and Optimization.
19(1), 114-122.
-
BARDOS, C., & CHEN, G.
(1981).
CONTROL AND STABILIZATION FOR THE WAVE-EQUATION, PART .3. DOMAIN WITH MOVING BOUNDARY. SIAM Journal of Control and Optimization.
19(1), 123-138.
-
Chen, G., & Mills, W. H.
(1981).
FINITE ELEMENTS AND TERMINAL PENALIZATION FOR QUADRATIC COST OPTIMAL CONTROL PROBLEMS GOVERNED BY ORDINARY DIFFERENTIAL EQUATIONS. SIAM Journal of Control and Optimization.
19(6), 745-764.
-
CHEN, G.
(1979).
ENERGY DECAY ESTIMATES AND EXACT BOUNDARY-VALUE CONTROLLABILITY FOR THE WAVE-EQUATION IN A BOUNDED DOMAIN. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES.
58(3), 249-273.
-
CHEN, G.
(1979).
CONTROL AND STABILIZATION FOR THE WAVE-EQUATION IN A BOUNDED DOMAIN. SIAM Journal of Control and Optimization.
17(1), 66-81.
-
Tian, J., Cai, M., Luo, Z., You, Y., & Chen, G.
(2019).
A 3D OpenFOAM based finite volume solver for incompressible Oldroyd-B model with infinity relaxation time. Communications in Nonlinear Science and Numerical Simulation.
78, 104876-104876.
-
book
-
Chen, G., & Huang, Y. u.
(2011).
Chaotic Maps Dynamics, Fractals, and Rapid Fluctuations. Morgan & Claypool Publishers.
-
Chen, G., & Zhou, J.
(2010).
BOUNDARY ELEMENT METHODS WITH APPLICATIONS TO NONLINEAR PROBLEMS 2nd edition. Springer Science & Business Media.
-
Chen, G., Church, D. A., Englert, B., Henkel, C., Rohwedder, B., Scully, M. O., & Zubairy, M. S.
(2007).
QUANTUM COMPUTING DEVICES PRINCIPLES, DESIGNS, AND ANALYSIS Preface. Ed. 6.
CRC Press.
-
Chen, G., Kauffman, L., & Lomonaco, S. J.
(2007).
Mathematics of quantum computation and quantum technology. CRC Press.
-
Chen, G., Kauffman, L., & Lomonaco, S. J.
(2007).
Preface
-
Chen, G., & Brylinski, R. K.
(2002).
Mathematics of quantum computation. CRC Press.
-
Brylinski, R. K., & Chen, G.
(2002).
Preface
-
Brylinski, R. K., & Chen, G.
(2002).
Preface
-
Chen, G., Chen, G., & Hsu, S.
(1995).
Linear Stochastic Control Systems. CRC Press.
-
Chen, G., & Zhou, J.
(1993).
Vibration and Damping in Distributed Systems Vol. I: Analysis, Estimation, Attenuation and Design. CRC Press.
-
Chen, G., & Zhou, J.
(1993).
Vibration and Damping in Distributed Systems, Volume II: WKB and Wave Methods, Visualization and Experimentation. CRC Press.
-
Chen, G., & Zhou, J.
(1992).
Boundary element methods. Academic Press.
-
Chen, G., & Huang, Y. u.
(2011).
Chaotic Maps Dynamics, Fractals, and Rapid Fluctuations. Morgan & Claypool Publishers.
-
chapter
-
Ma, D., & Chen, G.
(2013).
SPECTRA OF UNITARY INTEGRAL OPERATORS ON L-2 (R) WITH KERNELS k(xy). Integral Equations, Boundary Value Problems and Related Problems.
(pp. 195-210).
WORLD SCIENTIFIC.
-
Diao, Z., Chen, G., & Shiue, P.
(2007).
A realization scheme for quantum multi-object search. Mathematics of Quantum Computation and Quantum Technology.
47.
-
Zhang, Z., & Chen, G.
(2007).
Superconducting quantum computing devices. Mathematics of Quantum Computation and Quantum Technology.
171.
-
Chen, G., Hsu, S. B., & Zhou, J. X.
(2003).
Chaotic vibration of the wave equation with nonlinear feedback boundary control: Progress and open questions. Lecture Notes in Control and Information Sciences.
Chen, G., & Yu, X. (Eds.),
Chaos Control.
(pp. 25-50).
Springer Nature.
-
Chen, G., & Sun, S.
(2002).
Generalization of grovers algorithm to multiobject search in quantum computing, PART II: General unitary transformations. Mathematics of Quantum Computation.
(pp. 161-168).
-
Ma, D., & Chen, G.
(2013).
SPECTRA OF UNITARY INTEGRAL OPERATORS ON L-2 (R) WITH KERNELS k(xy). Integral Equations, Boundary Value Problems and Related Problems.
(pp. 195-210).
WORLD SCIENTIFIC.
-
conference paper
-
Crosta, G. F., & Chen, G.
(2016).
The algebra of the ideal doubly-fed induction generator. 1-2.
-
Crosta, G. F., & Chen, G.
(2015).
Axiomatics of the blondel-park transformation. Progress in Electromagnetics Research Symposium.
1510-1512.
-
Chen, G., Ramakrishna, V., & Zhang, Z.
(2011).
A Unified Approach to Universality for Three Distinct Types of 2-qubit Quantum Computing Devices. Contemporary Mathematics.
17-+.
-
Chen, G., Yao, P., Yong, J., Zhang, B., & Zhang, X. u.
(2010).
FOREWORD. Discrete and Continuous Dynamical Systems Series B: a journal bridging mathematics and sciences.
1-1.
-
Feng, Z., Chen, G., & Meng, Q.
(2010).
A reaction-diffusion equation and its traveling wave solutions. International Journal of Non-Linear Mechanics.
634-639.
-
Zhang, Z., Chen, G., Diao, Z., & Hemmer, P. R.
(2009).
NMR Quantum Computing. Advances in Mechanics and Mathematics.
465-+.
-
Zhang, Z., & Chen, G.
(2009).
Mathematical Formulations of Atom Trap Quantum Gates. Contemporary Mathematics.
1-+.
-
Chen, G., Ding, Z., Perronnet, A., Scully, M. O., Xie, R., & Zhang, Z.
(2007).
Some fundamental mathematical properties in atomic and molecular quantum mechanics. 49-72.
-
Chen, G., Hsu, S. B., & Huang, T. W.
(2002).
Analyzing displacement term's memory effect in a van der Pol type boundary condition to prove chaotic vibration of the wave equation. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering.
965-981.
-
Chen, G., Huang, T. W., Juang, J., & Ma, D. W.
(2001).
Unbounded growth of total variations of snapshots of the ID linear wave equation due to the chaotic behavior of iterates of composite nonlinear boundary reflection relations. Lecture Notes in Pure and Applied Mathematics.
15-43.
-
Chen, G., Huang, T. W., & Hsu, S. B.
(2000).
Nonlinear boundary feedback control of the one-dimensional wave equation. Proceedings of the ... IEEE Conference on Decision & Control / IEEE Control Systems Society. IEEE Conference on Decision & Control.
2060-2065.
-
CHEN, G., ZHOU, J. X., & MCLEAN, R. C.
(1994).
BOUNDARY-ELEMENT METHOD FOR SHAPE (DOMAIN) OPTIMIZATION OF LINEAR-QUADRATIC ELLIPTIC BOUNDARY CONTROL-PROBLEMS. Lecture Notes in Pure and Applied Mathematics.
27-72.
-
CHEN, G., & ZHOU, J. X.
(1992).
SOME BOUNDARY CONTROL-PROBLEMS AND COMPUTATION FOR THE LINEAR ELASTOSTATIC KIRCHHOFF PLATE ON AN EXTERIOR DOMAIN. Lecture Notes in Control and Information Sciences.
82-117.
-
Chen, G., & Zhou, J.
(1990).
Boundary element method for shape control of distributed parameter elastostatic systems. 161-175.
-
HUANG, F., LIU, K. S., & CHEN, G.
(1989).
DIFFERENTIABILITY OF THE SEMIGROUP ASSOCIATED WITH A STRUCTURAL DAMPING MODEL. IEEE Conference on Decision and Control.
2034-2038.
-
Chen, G., & Zhou, J.
(1987).
COMPUTING OPTIMAL BOUNDARY CONTROLS OF A PLATE BY THE BOUNDARY ELEMENT METHOD. IEEE Conference on Decision and Control.
992-996.
-
Chen, G., Delfour, M. C., & Krall, A. M.
(1984).
UNIFORM EXPONENTIAL STABILIZATION OF COUPLED EULER-BERNOULLI BEAMS. IEEE Conference on Decision and Control.
1159-1162.
-
Crosta, G. F., & Chen, G.
(2016).
The algebra of the ideal doubly-fed induction generator. 1-2.
editor of
-
book
-
Chen, G., Lasiecka, I., & Zhou, J.
(2001).
Control Of Nonlinear Distributed Parameter Systems
Chen, G. (Eds.),
CRC Press.
-
Chen, G., Lasiecka, I., & Zhou, J.
(2001).
Control Of Nonlinear Distributed Parameter Systems
Chen, G. (Eds.),
CRC Press.
Research
principal investigator on
Teaching
teaching activities
- MATH311 Top In Applied Math I Instructor
- MATH401 Adv Engineering Math Instructor
- MATH414 Fourier Series Wavelet Instructor
- MATH485 Hnr-directed Studies Instructor
- MATH491 Hnr-research Instructor
- MATH491 Research Instructor
- MATH601 Meth Appl Math I Instructor
- MATH602 Meth Appl Part Diff Eq Instructor
- MATH611 Intro Ord & Part Diff Eq Instructor
- MATH612 Part Diff Eq Instructor
- MATH614 Dynamical Systems Instructor
- MATH647 Math Modelling Instructor
- MATH685 Directed Studies Instructor
- MATH691 Research Instructor
Works By Students
chaired theses and dissertations
-
Feng, Zhaosheng (2004-11). Some results on the 1D linear wave equation with van der Pol type nonlinear boundary conditionsand the Korteweg-de Vries-Burgers equation.
-
Gu, Cong (2015-12). Computational Mechanics for Aircraft Water Entry and Wind Energy.
-
Roque Sol, Marco A. (2009-06). A study of the sensitivity of topological dynamical systems and the Fourier spectrum of chaotic interval maps.
-
Sen Gupta, Indranil (2011-10). Analysis of the Three-dimensional Superradiance Problem and Some Generalizations.
-
Tian, Jing (2016-05). Study of Nonlinear Analysis and Chaos in Vibrations and Fluids.
-
Wang, Yi-Ching (2015-08). Numerical Computation of Wind Turbine Flows and Fluid Problem by OpenFOAM and ANSYS.
-
Yeh, Jean (2018-09). Computational Mechanics for Shape Optimization and Airplane Bombing Based on OpenFOAM and LS-DYNA Software.
-
Zhang, Zhigang (2009-06). Modeling, analysis and control of quantum electronic devices.
Background
education and training
- Ph.D. in Mathematics, University of Wisconsin - Madison - (Madison, Wisconsin, United States) 1977
- B.Sc. in Mathematics, National Tsing Hua University - (Hsinchu, Taiwan) 1972
awards and honors
- Research Team Excellence Award, conferred by Texas A&M University at Qatar - (Doha, Qatar), 2013
Contact
first name
- Goong
has last name
- Chen
mailing address
-
Texas A&M University
Mathematics
3368 TAMU
College Station, TX 77843-3368
USA
Other
- g-chen@tamu.edu