Publications

Unpublished Papers

• "Fast Algorithm for Computing Karhunen-Loève Expansion" Adobe PDF(431k)[PDF]



Refereed Journal Papers

• "Coarse-graining two-dimensional turbulence via dynamical optimization". Bruce Turkington, Qian-Yong Chen and Simon Thalabard. Nonlinearity 29 (2016) 2961–2989. doi:10.1088/0951-7715/29/10/2961


• "Quenched dynamics of two-dimensional solitons and vortices in the Gross-Pitaevskii equation". Qian-Yong Chen and P. G. Kevrekidis, Boris A. Malomed. J. Opt. 2013, 15(4) 044012. doi:10.1088/2040-8978/15/4/044012.


• "Stochastic modeling of the equilibrium speed–density relationship". Haizhong Wang, Daiheng Ni, Qian-Yong Chen, and Jia Li. J. Advanced Transportation. 47(1) 126-150, 2013, DOI: 10.1002/atr.172


• "Analysis of LWR model with fundamental diagram subject to uncertainties". Jia Li, Haizhong Wang, Qian-Yong Chen, Daiheng Ni, Transportmetrica, 8(6), 387-405, 2012. http://dx.doi.org/10.1080/18128602.2010.521532


• "Logistic Modeling of the Equilibrium Speed-Density Relationship". Haizhong Wang, Jia Li, Qian-Yong Chen, and Daiheng Ni. Transportation Research Part A. 45(6), 554-566. Elsevier. 2011.


• "Traffic viscosity due to speed variation: modeling and implications", Jia Li, Haizhong, Wang, Qian-Yong Chen, and Daiheng Ni, Mathematical and Computer Modelling, 52(9-10):1626-1633, 2010


• "Formation of fundamental solitons in the two-dimensional nonlinear Schr\"{o}dinger equation with the lattice potential", Q.-Y. Chen, P.G. Kevrekidis, B.A. Malomed, European Physical Journal D. 58(1):141-146, 2010


• "Nonlinear Schr{\"o}dinger equations under random nonlinearity management", Q.-Y. Chen, P.G. Kevrekidis, B.A. Malomed, Physics Letters A. 373:1361-1367, 2009.


• "Real-time Editing and Relighting of Homogeneous Translucent Materials", R.Wang, E. Cheslack-Postava, R. Wang, D. Luebke, Q.-Y. Chen, W. Hua, Q. Peng, H.Bao The Visual Computer Journal 24(7-9):565-575, 2008


• "Enriched Multi-Point Flux Approximation For General Grids", Q.-Y Chen, Jing Wan, Yahan Yang, and Rick T. Mifflin. Journal of Computational Physics, 227:1701-1721, 2008. Adobe PDF(1,200k) [PDF]


• "A Mixed Finite Volume Method for Elliptic Problems", Ilya D. Mishev and Q.-Y Chen, Numer. Methods Partial Differential Equations, 23(5):1122-113, 2006. Adobe PDF(261k) [PDF]


• "Partitions for Spectral (Finite) Volume Reconstruction in the Tetrahedron", Q.-Y. Chen, J. Sci. Comput. 29(3):299-319, 2006. Adobe PDF(632k) [PDF]


• "Partitions of a Simplex Leading to Accurate Spectral (Finite) Volume Reconstructions", Q.-Y. Chen, SIAM J. Sci. Comput. 27(4):1458-1470, 2006, Adobe PDF(191k) [PDF]


• "Uncertainty Analysis for the Steady-state Flows in a Dual Throat Nozzle", Q.-Y. Chen, D. Gottlieb and J. S. Hesthaven. J. Comput. Phys., 204(1):378-398, 2005. Adobe PDF(1378k)[PDF]


• "Spectral Methods Based on Prolate Spheroidal Wave Functions for Hyperbolic PDEs ", Q.-Y. Chen, D. Gottlieb and J. S. Hesthaven, SIAM J. Numer. Anal., 43(5):1912-1933, 2005. Adobe PDF(438k)[PDF]


• "An efficient rectangular plate element", Z.-C Shi and Q.-Y. Chen, SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 44 (2): 145-158 FEB 2001

Refereed Proceeding Papers

• "Representing the Fundamental Diagram: the Pursuit of Mathematical Elegance and Empirical Accuracy". Haizhong Wang, Jia Li, Qian-Yong Chen, Daiheng Ni. Pre-print CD-ROM, the 89th Transportation Research Board (TRB) Annual Meeting, Washington, D.C. 2010. (Paper # 10-1354,22 pages).


• "Analysis of LWR Model with Fundamental Diagram Subject to Uncertainties". Jia Li, Qian-Yong Chen, Haizhong Wang, and Daiheng Ni. Pre-print CD-ROM, the 88th Transportation Research Board (TRB) Annual Meeting, Washington, D.C. 2009. (Paper # 09-1189, 14 pages).


• "Speed-Density Relationship: from Deterministic to Stochastic". Haizhong Wang, Jia Li, Qian-Yong Chen, and Daiheng Ni. Pre-print CD-ROM, the 88th Transportation Research Board (TRB) Annual Meeting, Washington, D.C. 2009. (Paper # 09-1527, 20 pages).


• "Investigation of LWR Model with Flux Function Driven by Random Free Flow Speed". Jia Li, Qian-Yong Chen, Haizhong Wang, and Daiheng Ni. Symposium on the Fundamental Diagram: 75 years. Woods Hole, Massachusetts. July 8 - 10, 2008. (Paper #A-4, 10 pages).


• "A New Multipoint Flux Approximation for Reservoir Simulation", Q.-Y. Chen, J.Wan, Y. Yang, and R. T. Mifflin, In SPE Reservoir Simulation Symposium, Houston, Texas, 26-28 February 2007. SPE 106464


• "Spectral methods for 2D photonic band structures", M.-S. Min, Q.-Y. Chen, and Y. Maday, Proceedings of SPIE, Volume 5360, Photonic Crystal Materials and Devices II. Ali Adibi, Axel Scherer, Shawn-Yu Lin, Editors, July 2004, pp. 44-51.