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Selected Publications

Selected Publications

Raymond CHAN

X.H. Cai, R.H. Chan, and T.Y. Zeng, A Two-stage Image Segmentation Method using a Convex Variant of the Mumford-Shah Model and Thresholding, SIAM J. Imag. Sci., 6 (2013), 368-390.

C.H. Chen, R. Chan, J.F. Yang, and S.Q. Ma, Inertial Proximal ADMM for Linearly Constrained Separable Convex Optimization, SIAM J. Imag. Sci., 8 (2015), 2239-2267.

X. Guo, R.H. Chan, A. Wong and L. Zhu, Mean-Variance, Mean-VaR, and Mean-CVaR Models for Portfolio Selection With Background Risk, Risk Management, 21 (2019), 73-98.

R. Chan, K. Kan, M. Nikolova, and R. Plemmons, A Two-stage Method for Spectral-spatial Classification of Hyperspectral Images, Journal of Mathematical Imaging and Vision, 62 (2020), 790-807.

H.S. Wong, L. Wang, R.H. Chan and T.Y. Zeng, Deep Tensor CCA for Multi-view Learning, IEEE Transactions on Big Data, doi: 10.1109/TBDATA.2021.3079234.

Kwok Wai CHUNG

Xu, J. and Chung, K.W., Effects of time delayed position feedback on a van der Pol-Duffing oscillator, Physica D, 180(1), 17-39, (2003).

Xu, J., Chung, K.W., and Chan, C.L., An efficient method for studying weak resonant double Hopf bifurcation in nonlinear systems with delayed feedbacks, SIAM Journal of Applied Dynamical Systems, 6(1), 29-60, (2007).

Cao, Y.Y., Chung, K.W., and Xu, J., A novel construction of homoclinic and heteroclinic orbits in nonlinear oscillators by a Perturbation-Incremental method, Nonlinear Dynamics, 64, 221-236, (2011).

Qin, B.W., Chung, K.W., Rodriguez-Luis, A.J., and Belhaq, M., Homoclinic-doubling and homoclinic-gluing bifurcations in the Takens-Bogdanov normal form with D4 symmetry, Chaos, 28, 093107, (2018).

Algaba, A., Chung, K.W., Qin, B.W., and Rodriguez-Luis, A.J., Computation of all the coefficients for the global connections in the Z2-symmetric Takens-Bogdanov normal forms, Communications in Nonlinear Science and Numerical Simulation, 81, 105012, (2020).

Philippe G. CIARLET

CIARLET, P.G., Linear and Nonlinear Functional Analysis with Applications, SIAM, Philadephia, 2013.

CIARLET, P.G.; MARDARE, C., Nonlinear Korn inequalities, J. Math. Pures Appl. 104 (2015), 1119-1134.

CIARLET, P.G.; IOSIFESCU, O., Nonlinear Donati compatibility conditions on a surface - Application to the intrinsic approach for Koiter’s model of a nonlinearly elastic shallow shell, Math. Models Methods Appl. Sci. 27 (2017), 347-384.

CIARLET, P.G.; MALIN, M.; MARDARE, C., Continuity in Fre´chet topologies of a surface as a function of its fundamental forms, J. Math. Pures Appl. 142 (2020), 243-265.

CIARLET, P.G., Locally Convex Spaces and Harmonic Analysis: An Introduction, SIAM, Philadelphia, 2021.


  • Probabilistic Analysis of Condition Numbers, Acta Numerica, 25, pp. 321-382, 2016.
  • On a Problem Posed by Steve Smale (with P. Bürgisser). Annals of Mathematics174, pp. 1785-1836, 2011.
  • Coverage Processes on Spheres and Condition Numbers for Linear Programming (with P. Bürgisser and M. Lotz). Annals of Probability38, pp. 570-604, 2010.
  • Emergent Behavior in Flocks, (with S. Smale). IEEE Trans. Autom. Control52, pp. 852-862, 2007.
  • On the mathematical foundations of learning, (with S. Smale). Bulletin Amer. Math. Soc. 39, pp. 1-49, 2002.


  • S.X. Xu and D. Dai, Tracy-Widom distributions in critical unitary random matrix ensembles and the coupled Painleve II system. Communications in Mathematical Physics, 365(2019), no. 2, 515-567.
  • D. Dai, M.E.H. Ismail and X.S. Wang, Doubly infinite Jacobi matrices revisited: Resolvent and spectral measure, Advances in Mathematics, 343 (2019), 157-192.
  • D. Dai, S.X. Xu and L. Zhang, Gap probability at the hard edge for random matrix ensembles with pole singularities in the potential, SIAM Journal on Mathematical Analysis, 50 (2018), no.2, 2233-2279.
  • S.X. Xu, D. Dai and Y.Q. Zhao, Critical edge behavior and the Bessel to Airy transition in the singularly perturbed Laguerre unitary ensemble, Communications in Mathematical Physics, 332 (2014), no. 3, 1257-1296.
  • D. Dai, M.E.H. Ismail and X.S. Wang, Plancherel-Rotach asymptotic expansion for some polynominals from indeterminate moment problems, Consturctive Approximation, 40 (2014), no. 1, 61-104.


  • Feng Dai and Han Feng, Riesz Transforms and Fractional Integration for Orthogonal Expansions on Spheres, Balls and Simplexes, Advance in Mathematics, 301(2016), 549-614.
  • Feng Dai and Han Feng, Chebyshev quadrature formulas on spheres, balls and simplexes, Trans. Amer. Math. Soc. 372 (2019), 7425-7460.
  • Han Feng, Christian Krattenthaler and Yuan Xu, Best Approximation on the triangle, Journal of Approximation, 241 (2019), 63-78.
  • Feng Dai, Han Feng and Sergey Tikhonov, Reverse Holder's inequality for spherical harmonics, Proceedings of American Mathematical Society, 144 (2016), no. 3, 1041-1051.
  • Han Feng, Uncertainty principles on weighted spheres, balls and simplexes, Canadian Mathematical Bulletin 59 (2016), no. 1, 62-72.

Yukun HE

He, Yukun. Spectral gap and edge universality of dense random regular graphs, arXiv 2203.07317 (2022).

He, Yukun. & Knowles, Antti. Fluctuations of extreme eigenvalues of sparse Erdős-Rényi graphs. Probability Theory and Related Fields, 180 (2021), 985 - 1056.

He, Yukun. Bulk eigenvalue fluctuations of sparse random matrices. Annals of Applied Probability, 30 (2020). 2846 - 2879.

He, Yukun. & Knowles, Antti. Mesoscopic Eigenvalue Density Correlations of Wigner Matrices. Probability Theory and Related Fields, 177 (2020), 147 - 216.

He, Yukun. & Knowles, Antti, Mesoscopic eigenvalue statistics of Wigner matrices. Annals of Applied Probability, 27 (2017), 1510 - 1550.

Daniel W. C. HO

  • Deming Yuan, Daniel W.C. Ho & Yiguang Hong, On Convergence Rate of Distributed Stochastic Gradient Algorithm for Convex Optimization with Inequality Constraints, SIAM Journal on Control and Optimization, 54(5), 2872-2892. (2016). img alt
  • Wenying Xu, Daniel W.C. Ho, Lulu Li and Jinde Cao, Event-Triggere Schemes on Leader-Following Consensus of General Linear Multi-Agent Systems under Different Topologies, IEEE Transactions on Cybernetics, Vol. 47, No. 1, 212-223, (2017). img alt
  • Bo Chen, Daniel W.C. ho, Wen-An Zhang and Li Yu, Networked Fusion Estimation with Bounded Noises, IEEE Transactions of Automatic Control, Vol.62, 10, 5415-5421, (2017). DOI: img alt
  • Xiaodi Li, Daniel W.C. Ho and Jinde Cao, Finite-time stability and settling-time estimation of nonlinear impulsive systems, Automatica, 99, 361-368 (2019). img alt
  • Zhong J. Daniel W.C. Ho, J. Lu & Q. Jiao, Pinning Controllers for Activation Output Tracking of Boolean Network Under One-Bit Perturbation, IEEE Transactions on Cybernetics, Vol: 49, 9, pages 3398-3408, (2019). img alt

Benny Y. C. HON

  1. Zhao W., Lei M. Hon Y.C., An improved finite integration method for nonlocal and nonlinear Schrödinger equations, Computers and Mathematics with Applications, Vol. 113, pp. 24-33, 2022.
  2. Deng Z.C., Hon Y.C., Isakov V., Recovery of time-dependent volatility in option pricing model, Inverse Problems, Vol. 32 (2016) 115010 (30pp)
  3. Hon Y.C. and Schaback R., Direct Meshless Kernel Techniques for Time-Dependent Equations, Applied Mathematics and Computation, Vol. 258, pp. 220-226, 2015.
  4. Zhong M., Hon Y.C. and Lu S., Multiscale support vector approach for solving ill-posed problems, J. Scientific Computing (JOMP), Vol. 64, pp. 317-340, 2015.
  5. Hon Y.C. and Takeuchi T., Discretized Tikhonov regularization by reproducing kernel Hilbert space for backward heat conduction problem, Advances in Computational Mathematics, Vol. 34, pp. 167-183, 2011.


Xianpeng HU

  • X.Hu & N. Masmoudi, Global solutions to replusive Hookean elastodynamics, Arch. Ration. Mech. Anal. 223 (2017), 543-590.
  • X. Hu, Global existence of weak solutions to compressible viscoelasticity. J. Differential Equations 265 (2018), 3130-3167.
  • X. Hu, & Y. Huang, Well-posedness of the free boundary problem for incompressible elastodynamics. J. Differential Equations 266 (2019), 7844-7889.
  • X. Hu, Hausdorff dimensions of concentrations for isentropic compressible Navier-Stokes equations. Arch. Ration. Mech. Anal. 234 (2019), 375-416.
  • X. Hu, W. Zhao, Flobal existence of compressible dissipative elastodynamics systems with zero shear viscosity in two dimensions. Arch. Ration. Mech. Anal. (2019).

Jongchon KIM

L2 bounds for a maximal directional Hilbert transform (with M. Pramanik), Analysis & PDE 15 (2022), 753–794

Lower bounds for estimates of the Schrodinger maximal function (with X. Du, H. Wang, R. Zhang), Math. Res. Lett. 27 (2020), 687-692

Riesz means of Fourier series and integrals: Strong summability at the critical index (with A. Seeger), Trans. Amer. Math. Soc. 372 (2019), 2959-2999

On the averaged Green’s function of an elliptic equation with random coefficients (with M. Lemm), Arch. Rational Mech. Anal. 234 (2019), 1121-1166

Endpoint bounds for a class of spectral multipliers on compact manifolds, Indiana Univ. Math. J. 67 (2018), 937-969

A characterization of maximal operators associated with radial Fourier multipliers, Proc. Amer. Math. Soc. 145 (2017), 1077-1085

Wonjung LEE

  • Lee, Wonjung. , Kovacic, Gregor. & Cai, David. (2018). Cascade model of wave turbulence. Physical Review E. 97. 062140.
  • Lee, Wonjung. (2018). Generalized Langevin equation and the linear regression model with memory. Physical Review E. 98. 022137.
  • Lee, Wonjung. & Zabaras, Nicholas. (2018). Parallel probabilistic graphical model approach for nonparametric Bayesian inference. Journal of Computational Physics. 372. 546.
  • Lee, Wonjung. & Stuart, Andrew. (2017). Derivation and Analysis of Simplified Filters. Communications in Mathematical Sciences. 15/2. 413 - 450.
  • Lee, Wonjung. & Lyons, Terry. (2016). The adaptive patched cubature filter and its implementation. Communications in Mathematical Sciences. 14/3. 799 - 829.


  • Heng Lian, Kaifeng Zhao and Shaogao Lv, Projected spline estimation of the nonparametric function in high-dimensional partially linear models for massive data, Annals of Statistics, 47, 2922-2949, (2019).
  • Heng Lian and Zengyan Fan, Divide-and-conquer for debiased 1-norm support vector machine in ultra-high dimensions, Journal of Machine Learning Research, 18, 1-26, (2018).
  • Shaogao Lv, Huazhen Lin, Heng Lian and Jian Huang, Oracle inequalities for sparse additive quantile regression in reproducing kernel Hilbert space, Annals of Statistics, 46, 781-813, (2018).
  • Kejun He, Heng Lian, Shujie Ma and Jianhua Huang, Dimensionality reduction and variable selection in multivariate varying-coefficient models with a large number of covariates, Journal of the American Statistical Association, 113, 746-754, (2018).
  • Heng Lian, Hua Liang and Raymond, J. Carroll, Variance Function Partially Linear Single-Index Models, Journal of the Royal Statistical Society, Series B, 77(1), 171-194, (2015).

Hongyu LIU

  • H. Liu, L. Rondi and J. Xiao, Mosco convergence for H(curl) spaces, higher integrability for Maxwell's equations, and stability in direct and inverse EM scattering problems,
    Journal of the European Mathematical Society (JEMS), 21 (2019), no. 10, 2945--2993.
  • Y. Deng, J. Li and H. Liu, On identifying magnetized anomalies using geomagnetic monitoring, Archive for Rational Mechanics and Analysis, 231 (2019), no. 1, 153--187.
  • H. Li, J. Li and H. Liu, On novel elastic structures inducing polariton resonances with finite frequencies and cloaking due to anomalous localized resonance, Journal de Math ematiques Pures et Appliqu ees, 120 (2018), 195--219. 
  • E. Bl asten and H. Liu, On vanishing near corners of transmission eigenfunctions, Journal of Functional Analysis, 273 (2017), 3616--3632.
  • J. Li, H. Liu, L. Rondi and G. Uhlmann, Regularized transformation-optics cloaking for the Helmholtz equation: from partial cloak to full cloak, Communications in Mathematical Physics, 335 (2015), 671--712.

Wing Cheong LO

  • Tsz-Lik Chan, Hsiang-Yu Yuan & Wing-Cheong Lo, Modeling COVID-19 transmission dynamics with self-learning population behavioral change, Frontiers in Public Health, (2021), 9:768852.  
  • Yue Liu, Michael P. Reichel & Wing-Cheong Lo, Combined control evaluation for Neospora caninum infection in dairy: economic point of view coupled with population dynamics, Veterinary Parasitology, (2019), 277:108967. 
  • Wing-Cheong Lo & Shaokun Mao, A hybrid stochastic method with adaptive time step control for reaction-diffusion systems, Journal of Computational Physics, (2019), 379, 392-402. 
  • Yanli Wang* & Wing-Cheong Lo* & Ching-Shan Chou, A modeling study of budding yeast colony formation and its relationship to budding pattern and aging, PLos Computational Biology, (2017), 13(11): E1005843. *Co-first author 
  • Wing-Cheong Lo, Shaohua Zhou, Arthur D. Lander & Qing Nie, Robust and Precise Morphogen-mediated Patterning: Tradeoffs, onstraints and Mechanisms, Journal of Royal Society Interface, (2015), 12(102), 6, p20141041

Ya Yan LU

  • Amgad Abdrabou & Ya Yan Lu, Indirect link between resonant and guided modes on uniform and periodic slabs, Physical Review A, Vol. 99, Art. 063818, June 2019.
  • Lijun Yuan and Ya Yan Lu, Bound states in the continuum on periodic structures surrounded by strong resonances, Physical Review A, Vol. 97, Art. 043828, April 2018.
  • Wangtao Lu, Ya Yan Lu, and Jianliang Qian, Perfectly-matched-layer boundary in- tegral equation method for wave scattering in a layered medium, SIAM Journal on Applied Mathematics, Vol. 78, No. 1, pp. 246-265, Jan. 2018.
  • Lijun Yuan and Ya Yan Lu, Bound states in the continuum on periodic structures: perturbation theory and robustness, Optics Letters, Vol. 42, No. 21, pp. 4490-4493, Nov. 2017.
  • Lijun Yuan and Ya Yan Lu, Robust iterative method for nonlinear Helmholtz equation, Journal of Computational Physics, Vol. 343, pp. 1-9, Aug. 2017.


  • Hao, Chengchun &  Luo, Tao, Ill-Posedness of Free Boundary Problem of the Incompressible Ideal MHD. Commun. Math. Phys. (2019) doi:10.1007/s00220-019-03614-1.
  • Luo, Tao. & Zeng, Huihui, Global Existence of Smooth Solutions and Convergence to Barenblatt Solutions for the Pyhsical Vacuum Free Boundary Problem of Compressible Euler Equations with Damping, Comm. Pure Appl. Math. 69 (7), 1354-1396 (2016).
  • Federbush, Paul. , Luo, Tao. & Smoller, Joel, Existence of Magnetic Compressible Fluid Stars. Arch. Ration. Mech. Anal. 215/2.  611 - 631(2015).
  • Luo, Tao. , XIn, Zhouping. & Zeng, Huihui, Well-Posedness for the Motion of Physical Vacuum of the Three-dimensional Compressible Euler Equations with or without Self-Gravitation. Arch. Ration. Mech. Anal. 213/2. 763 - 831(2014).
  • Luo, Tao. & Smoller, Joel. Nonlinear Dynamical Stability of Newtonian Rotating and Non-rotating White Dwarfs and Rotating Supermassive Stars. Commun. Math. Physics. 425 - 457 (2008).

Cristinel MARDARE

  • Ciarlet, P.G., Mardare, C., Piersanti, P., An obstacle problem for elliptic membrane shells, Math. Mech. Dolids 24 (2019) 1503-1529.
  • Mardare, C., Static elasticity in a riemannian manifold, in "Differential Geometry and Continuum Mechanics" (eds. G-Q Chen, M. Grinfeld, R.J. Knops), Springer, 2015, 307-342.
  • Cartlet, P.G., Mardare, C., Existence theorems in intrinsic nonlinear elasticity, J. Math. Pures Appl. 94(2010), 229-243.
  • Mardare, C., C^∞-regularity of a manifold as a function of its metric tensor, Analysis and Applications 4 (2006), 19-30.
  • Lods, V., Mardare, C., Asymptotic justification of the Kirchhoff-Love assumptions for a linearly elastic clamped shell. J Elasticity. 58 (2000), 105-154.

Chenchen MOU

  1. Gangbo, W.; Meszaros, A.; Mou, C.; Zhang, J. Mean field games master equations with non-separable Hamiltonians and displacement monotonicity. accepted in the Ann. Probab..

  2. Mou, C.; Zhang, J. Wellposedness of second order master equations for mean field games with nonsmooth data. accepted in the Memoirs of the AMS.

  3. Gong, R.; Mou, C.; Swiech, A. Stochastic representations for solutions to parabolic Dirichlet problems for nonlocal Bellman equations. Ann. Appl. Probab. 29 (2019), no. 6, 3271–3310.

  4. Guillen, N.; Mou, C.; Swiech, A. Coupling Lévy measures and comparison principles for viscosity solutions. Trans. Amer. Math. Soc. 372 (2019), no. 10, 7327–7370.

  5. Mou, C.; Yi, Y. Interior regularity for regional fractional Laplacian. Comm. Math. Phys. 340 (2015), no. 1, 233–251.

Pierre NOLIN

  • van den Berg, J., Kiss, D. & Nolin, P. (2018). Two-dimensional volume-frozen percolation: deconcentration and prevalence of mesoscopic clusters. Annales Scientifiques de l' Ecole Normale Superieure. 51, 1017-1084.
  • van den Berg, J. & Nolin, P. (2021). Near-critical 2D percolation with heavy-tailed impurities, forest fires and frozen percolation. Probability Theory and Related Fields. 181, 211-290.
  • Duminil-Copin, H., Hongler, C. & Nolin, P. (2011). Connection probabilities and RSW-type bounds for the two-dimensional FK Ising model. Communications on Pure and Applied Mathematics. 64, 1165-1198.
  • Nolin, P. & Werner, W. (2009). Asymmetry of near-critical percolation interfaces. Journal of the American Mathematical Society. 22, 791-819.
  • Nolin, P., Tassion, V. & Teixeira, A. (in press). No exceptional words for Bernoulli percolation. Journal of the European Mathematical Society. 26 pp.

Frederick W. F. QIU

  • Weifeng Qiu and Lan Tang, (2020), ``A note on the Monge–Ampère type equations with general source terms",  Mathematics of Computation, volume 89 (326), pages 2675-2706.
  • Weifeng Qiu and Shun Zhang, (2020), ``Adaptive First-Order System Least-Squares Finite Element Methods for Second-Order Elliptic Equations in Nondivergence Form", SIAM Journal on Numerical Analysis, volume 58(6), pages 3286-3308.
  • Huadong Gao and Weifeng Qiu, (2019). ``A semi-implicit energy conserving finite element method for the dynamical incompressible magnetohydrodynamics equations”, Computer Methods in Applied Mechanics and Engineering, volume 36, pages 982-1001.
  • Gusheng Fu, Yanyi Jin and Weifeng Qiu, (2019), `` Parameter-free superconvergent H(div)-conforming HDG methods for the Brinkman equations”, IMA Journal of Numerical Analysis, Volume 39, pages 957-982.
  • Bernardo Cockburn, Weifeng Qiu and Manuel Solano, (2014), `` A priori error analysis for HDG methods using extensions rom subdomains to achieve boundary conformity”, Mathematics of Computation, Volume 83, pages 665-699.


  • M. Reintjes and B. Temple, “On the regularity implied by the assumptions of geometry”, preprint 2020, arXiv:1912.12997.
  • M. Reintjes and B. Temple, “On the regularity implied by the assumptions of geometry II - Connections on vector bundles”, preprint 2021, arXiv:2105.10765.
  • M. Reintjes, “Spacetime is locally inertial at points of general relativistic shock wave interaction between shocks from different characteristic families”, Adv. Theor. Math. Phys. 21.6 (2017), 1525-1611. 
  • F. Finster and M. Reintjes, “A non-perturbative construction of the Fermionic Projector on globally hyperbolic manifolds I - Space-times of finite lifetime”, Adv. Theor. Math. Phys. 19.3 (2015), 761-803.
  • M. Reintjes, “Constrained systems of conservation laws: A geometric theory”, Meth. Appl. Anal. 24.4 (2017), 407-444.

Stephen SMALE

  • M. SHUB and S. SMALEComplexity and Bezout's Theorem IV: Probability of Success, Extensions, to appear in SIAM J. of Numerical Analysis. Feb '96.
  • M. SHUB and S. SMALEComplexity of Bezout's Theorem V: Polynomial time, Theoretical Computer Science, (1994) pp 141–164.
  • M. SHUB and S. SMALEOn the Intractability of Hilbert's Nullellensatz and an Algebraic Version of "NP ≠ P?", to appear in Duke Math. J. (special volume honoring John Nash).

Junhui WANG

Roderick S. C. WONG

  • W.-Y. QIU and R. WONGUniform Asymptotic Formula for Orthogonal Polynomials with Exponential Weight, SIAM J. Math. Anal., 31 (2000), 992–1029.
  • C.-K. QU and R. WONG"Best Possible" Upper and Lower Bounds for the Zeros of the Bessel Function, Trans. Amer. Math. Soc., 351 (1999), 2833–2859.
  • X.-H. JIANG and R. WONGJustification of a Perturbation Approximation of the Klein-Gordon Equation, Studies Appl. Math., 102(1999), 375–417.
  • Y.-Q. ZHAO and R. WONGSmoothing of Stokes Discontinuity for the Generalized Bessel Function II, Proc. Roy. Soc. Lond. Ser. A, 455 (1999), 3065–3804.
  • X.-S. JIN and R. WONGUniform Asymptotic Expansions for Meixner Polynomials, Constr. Approx., 14 (1998), 113–150.

Jonathan WYLIE

  • J. J. Wylie, B. H. Bradshaw-Hajek & Y. M. Stokes "The evolution of a viscous thread pulled with a prescribed speed" Journal of Fluid Mechanics 795, 380 (2016).
  • J. J. Wylie, H. Huang & R. M. Miura "Stretching of viscous threads at low Reynolds numbers" Journal of Fluid Mechanics 683, 212 (2011)
  • S. Ben Hariz, J. J. Wylie & Q. Zhang, "Optimal rate of convergence for nonparametric change-point estimators for non-stationary sequences", Annals of Statistics 35, 1802 (2007).
  • J. J. Wylie, Q. Zhang & X. X. Sun, "Anomalous Ritchmyer-Meshkov Fingering in Dissipative Particle Systems", Physical Review Letters 97, 104501 (2006).
  • J. J. Wylie, B. Voight & J. A. Whitehead, "Instability of magma flow with volatile-dependent viscosity", Science 285, 1883 (1999).


1. Stability of Transonic Contact Discontinuity for Two-Dimensional Steady Compressible Euler Flows in a Finitely Long Nozzle. Huang, F., Kuang, J., Wang, D. & Xiang, W., Dec 2021, Annals of PDE. 7, 2, 96 p., 23.

2. Stability of Attached Transonic Shocks in Steady Potential Flow past Three-Dimensional Wedges. Chen, G. G., Chen, J. & Xiang, W., Oct  2021, In: Communications in Mathematical Physics. 387, 1, p. 111–138 28 p.

3. Convexity of Self-Similar Transonic Shocks and Free Boundaries for the Euler Equations for Potential Flow. CHEN, G. G., FELDMAN, M. & XIANG, W., Oct 2020,  Archive for Rational Mechanics and Analysis. 238, 1, p. 47–124

4. Incompressible Jet Flows in a de Laval Nozzle with Smooth Detachment. CHENG, J., DU, L. & XIANG, W., May 2019, Archive for Rational Mechanics and Analysis. 232, 2, p. 1031-1072

5. Steady Euler flows with large vorticity and characteristic discontinuities in arbitrary infinitely long nozzles. Chen, G. G., Huang, F., Wang, T. & Xiang, W., 13 Apr 2019, Advances in Mathematics. 346, p. 946-1008 63 p.



  • Z. Cai, C. He, & S. Zhang, (2017), Discontinuous Finite Element Methods for Interface Problems: Robust A Priori and A Posteriori Error Estimates, SIAM Jounral on Numerical Analysis, 55(1), 400-418.
  • J.S. Hesthaven & S. Zhang, (2016), On the Use of ANOVA Expansions in Reduced Basis Methods for Parametric Partial Differential Equations, Journal of Scientific Computing, 69(1), 292-313.
  • J.S. Hesthaven, B. Stamm & S. Zhang, (2014), Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods, ESAIM: Mathematical Modelling and Numerical Analysis, 48(1), 259-283.
  • Z. Cai, X. Ye, & S. Zhang (2011), Discontinuous Galerkin finite element methods for interface problems: a priori and a posteriori error estimations, SIAM Journal on Numerical Analysis, 49 (5), 1761-1787.
  • Z, Cai & S. Zhang (2009), Recovery-based error estimator for interface problems: Conforming linear elements, SIAM J. Numer. Anal, 47 (3), 2132-2156.


1. Lina Zhao, Eric T. Chung, Eun-Jae Park and Guanyu Zhou, Staggered DG Method for Coupling of the Stokes and Darcy--Forchheimer Problems, SIAM Journal on Numerical Analysis, 59 (2021), pp.1-31.

2. Lina Zhao, Eric T. Chung and Ming Fai Lam,  A new staggered DG method for the Brinkman problem robust in the Darcy and Stokes limits, Computer Methods in Applied Mechanics and Engineering, 364 (2020),

3.Dohyun Kim, Lina Zhao and Eun-Jae ParkStaggered DG Methods for the Pseudostress-Velocity Formulation of the Stokes Equations on General Meshes, SIAM Journal on Scientific Computing, 42 (2020), pp. A2537-A2560

4. Lina Zhao and Eun-Jae ParkA Staggered Cell-Centered DG Method for Linear Elasticity on Polygonal Meshes, SIAM Journal on Scientific Computing, 42 (2020), pp. A2158-A2181

5. Lina Zhao and Eun-Jae ParkA Staggered Discontinuous Galerkin Method of Minimal Dimension on Quadrilateral and Polygonal Meshes, SIAM Journal on Scientific Computing, 40 (2018), pp. A2543-A2567


  • Lee, J. and C. Zhou. Binary funding impacts in derivative valuation, Mathematical Finance, 2021, 31(1): 242-278.
  • Horst, U., Xia, X. and C. Zhou. Portfolio liquidation under factor uncertainty, 2021. The Annals of Applied Probability, to appear.
  • Popier, A. and C. Zhou. Second order BSDE under monotonicity condition and liquidation problem under uncertainty, The Annals of Applied Probability, 2019, 29(3): 1685-1739.
  • Possamaï, D., Tan, X., and C. Zhou. Stocahastic control for a class of nonlinear kernels and applications, The Annals of Probability, 2018, 46(1):551-603.
  • Matoussi, A., Possamaï, D., and C. Zhou. Robust Utility Maximisation in Non-dominated Models with 2BSDEs, Mathematical Finance, 2015, 25(2): 258-287.

Ding-Xuan ZHOU

Xiang ZHOU

Xiaosheng ZHUANG

  • Wang, Y. G. & Zhuang, X. (2020), Tight framelets and fast framelet filter bank transforms on manifolds. Applied and Computational Harmonic Analysis, 48(1): 64-95.
  • Han, B., Mo, Q., Zhao, Z. & Zhuang, X. (2019), Directional compactly supported tensor product complex tight framelets with applications to image denoising and inpainting. SIAM Journal on Imaging Sciences, 12 (4): 1739-1771.
  • Han, B., Li, T., & Zhuang, X. (2019), Directional compactly supported box spline tight framelets with simple geometric structure, Applied Mahtematics Letters, 91: 213-219.
  • Che, Z. & Zhuang, X. (2018), Digital affine shear filter banks with 2-Layer structure and their applications in image processing. Transactions on Image Processing, 27(8): 3931-3941.
  • Han, B., Jiang, Q.T., Shen, Z.W. & Zhuang, X. (2018), Symmetric canonical quincunx tight framelets with high vanishing moments and smoothness. Mathematics of Computation. 87 (309): 347-379.