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RESEARCH

Selected Publications

CHADA Neil Kumar

Paulin D.; Whalley P. A.; Chada N K.; Leimkuhler B. Sampling from Bayesian Neural Network Posteriors with Symmetric Minibatch Splitting Langevin Dynamics. (2025), International Conference on Artificial Intelligence and Statistics (AISTATS), (accepted).
Nong Minh H.; Houssineau J.; Chada N K.; Delande E. Decoupling Epistemic and Aleatoric Uncertainties with Possibility Theory. (2025), International Conference on Artificial Intelligence and Statistics (AISTATS), (accepted).
Bergou E.; Chada N. K.; Diouane Y. A Stochastic Iteratively Regularized Gauss-Newton Method. (2025), Inverse Problems, 41 (015005).
Chada N. K.; Lang Q.; Lu F.; Wang X. A Data-Adaptive RKHS Prior for Bayesian Learning of Kernels in Operators. (2024), Journal of Machine Learning Research, 25, 1-37.
Weissmann S.; Chada N. K.; Tong X T. The Ensemble Kalman Filter for Dynamic Inverse Problems. (2025), Information and Inference: A Journal of the IMA, 18(4).

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.

Felipe CUCKER

Probabilistic Analysis of Condition Numbers, Acta Numerica, 25, pp. 321-382, 2016.
On a Problem Posed by Steve Smale (with P. Bürgisser). Annals of Mathematics, 174, pp. 1785-1836, 2011.
Coverage Processes on Spheres and Condition Numbers for Linear Programming (with P. Bürgisser and M. Lotz). Annals of Probability, 38, pp. 570-604, 2010.
Emergent Behavior in Flocks, (with S. Smale). IEEE Trans. Autom. Control, 52, pp. 852-862, 2007.
On the mathematical foundations of learning, (with S. Smale). Bulletin Amer. Math. Soc. 39, pp. 1-49, 2002.

Dan DAI

D. Dai and W.-G. Long, Asymptotics and total integrals of the P_I^2 tritronquee solution and its Hamiltonian, SIAM J. Math. Anal., 56 (2024), no. 4, 5350–5371.

D. Dai, S.-X. Xu and L. Zhang, On the deformed Pearcey determinant, Adv. Math., 400 (2022), Paper No. 108291, 64 pp.

D. Dai, S.-X. Xu and L. Zhang, Asymptotics of Fredholm determinant associated with the Pearcey kernel, Comm. Math. Phys., 382 (2021), 1769–1809.

S.-X. Xu and D. Dai, Tracy-Widom distributions in critical unitary random matrix ensembles and the coupled Painleve II system, Comm. Math. Phys., 365 (2019), 515–567.

D. Dai, M.E.H. Ismail and X.-S. Wang, Doubly infinite Jacobi matrices revisited: resolvent and spectral measure, Adv. Math., 343 (2019), 157–192.

Han FENG

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

[1]Jie Zhong , Daniel W. C. Ho and Jianquan Lu

"A New Approach to Pinning Control of Boolean Networks"

IEEE Transactions on Control of Network Systems, Vol. 9, 1, 415-426, Mar 2022.

[2] Wenying Xu, Wangli He, Daniel W.C. Ho and Jürgen Kurths

“Fully distributed observer-based consensus protocol : Adaptive dynamic event-triggered schemes”

Automatica, Vol 139, May 2022, 110188.

[3]Jie Liu; Daniel W. C. Ho and Lulu Li

"A Generic Algorithm Framework for Distributed Optimization over the Time-Varying Network with Communication Delays"

IEEE Transactions on Automatic Control, Vol. 69, 1, 371–378, Jan 2024.

[4] Zhan Yu and Daniel W. C. Ho

“Estimates on learning rates for multi-penalty distribution regression”

Applied and Computational Harmonic Analysis, Vol 69, March 2024, 101609.

[5] Shuqi Chen and Daniel W. C. Ho

"Distributed Energy-Based Estimation Over Harvesting-Constrained Sensor Networks"

IEEE Transactions on Cybernetics, Vol. 54, 4, 2545-2553, Apr. 2024.

Benny Y. C. HON

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.
Deng Z.C., Hon Y.C., Isakov V., Recovery of time-dependent volatility in option pricing model, Inverse Problems, Vol. 32 (2016) 115010 (30pp)
Hon Y.C. and Schaback R., Direct Meshless Kernel Techniques for Time-Dependent Equations, Applied Mathematics and Computation, Vol. 258, pp. 220-226, 2015.
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.
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.

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

LEUNG Wing Tat

Chung, E. T., Efendiev, Y., & Leung, W. T. (2015). Residual-driven online generalized multiscale finite element methods. Journal of Computational Physics, 302, 176-190.
Chung, E. T., Efendiev, Y., & Leung, W. T. (2018). Constraint energy minimizing generalized multiscale finite element method. Computer Methods in Applied Mechanics and Engineering, 339, 298-319.
Chung, E. T., Efendiev, Y., Leung, W. T., & Vasilyeva, M. (2021). Nonlocal multicontinua with representative volume elements. Bridging separable and non-separable scales. Computer Methods in Applied Mechanics and Engineering, 377, 113687.
Chung, E. T., Efendiev, Y., Leung, W. T., & Vabishchevich, P. N. (2021). Contrast-independent partially explicit time discretizations for multiscale flow problems. Journal of Computational Physics, 445, 110578.
Leung, W. T., Lin, G., & Zhang, Z. (2022). NH-PINN: Neural homogenization-based physics-informed neural network for multiscale problems. Journal of Computational Physics, 470, 111539.

Heng LIAN

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.

Tao LUO

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).

Laurent MERTZ

1) Garnier, Josselin; Lu, Ziyu; Mertz Laurent

A piecewise deterministic Markov process approach modeling a dry friction problem with noise.

SIAM J. Appl. Math. (2023), to appear.

2) Garnier, Josselin; Mertz, Laurent

A control variate method driven by diffusion approximation.

Comm. Pure Appl. Math. 75 (2022), no. 3, 455–492.

3)Laurière, Mathieu; Mertz, Laurent

Penalization of nonsmooth dynamical systems with noise: ergodicity and asymptotic formulae for threshold crossings probabilities.

SIAM J. Appl. Dyn. Syst. 18 (2019), no. 2, 853–880.

4)Huang, Jinzi Mac; Zhong, Jin-Qiang; Zhang, Jun; Mertz, Laurent

Stochastic dynamics of fluid-structure interaction in turbulent thermal convection.

J. Fluid Mech. 854 (2018), R5.

5)Bensoussan, Alain; Mertz, Laurent.; Yam, Phillip

Nonlocal boundary value problems of a stochastic variational inequality modeling an elasto-plastic oscillator excited by a filtered noise.

SIAM J. Math. Anal. 48 (2016), no. 4, 2783–2805.

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. (2023). No exceptional words for Bernoulli percolation. Journal of the European Mathematical Society. 25. 4841-4868.

QIAN Wei

W. Qian. Conformal restriction: The trichordal case. Probab. Th. Relat. Fields., August 2018, Volume 171, Issue 3-4, pp 709–774.
W. Qian and W. Werner. Decomposition of Brownian loop-soup clusters. J. Europ. Math. Soc., Volume 21, Issue 10 (2019), pp 3225-3253.
W. Qian. Generalized disconnection exponents. Probab. Th. Relat. Fields., February 2021, Volume 179, pp 117-164.
O. McEnteggart, J. Miller and W. Qian. Uniqueness of the welding problem for SLE and Liouville quantum gravity. J. Inst. Math. Jussieu., May 2021, Volume 20, Issue 3, pp 757 - 783.
E. Gwynne, J. Miller and W. Qian. Conformal invariance of CLE_κ on the Riemann sphere for κ∈(4,8). Int. Math. Res. Not., December 2021, Volume 2021, Issue 23, Pages 17971 - 18036.

Weifeng QIU

`Optimal convergence of the arbitrary Lagrangian-Eulerian interface tracking method for two-phase Navier--Stokes flow without surface tension", IMA Journal of Numerical Analysis, accepted for publication.

``Weak discrete maximum principle of isoparametric finite element methods in curvilinear polyhedra", Mathematics of Computation, 93 (2024), pages 1 - 34. https://www.ams.org/journals/mcom/2024-93-345/S0025-5718-2023-03876-5/

``Spectral Analysis of a Mixed Method for Linear Elasticity", SIAM Journal of Numerical Analysis, 61(4), 2023, pages 1885-1917. https://epubs.siam.org/doi/abs/10.1137/22M148611X

``New analysis of mixed FEMs for dynamical incompressible magnetohydrodynamics", Numerische Mathematik 153 (2), pages 327-358. https://link.springer.com/article/10.1007/s00211-022-01341-9

``A note on the Monge–Ampère type equations with general source terms", Mathematics of Computation, volume 89 (326), pages 2675-2706. https://www.ams.org/journals/mcom/2020-89-326/S0025-5718-2020-03554-6/

Moritz REINTJES

M. R. and B. Temple, “Optimal regularity and Uhlenbeck compactness for General Relativity and Yang-Mills Theory”, Proc. R. Soc. A 479: 20220444.
M. R. and B. Temple, “On the optimal regularity implied by the assumptions of geometry I: Connections on tangent bundles”, to appear: Meth. Appl. Anal. (2023), 100 pages.
M. R. and B. Temple, “Shock wave Interactions and the Riemann-flat condition: The geometry behind metric smoothing and the existence of locally inertial frames in General Relativity”, Arch. Rat. Mech. Anal. 235 (2020), 1873-1904.
M. R., “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. R., “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.

Panpan REN

[1] Panpan Ren, (2023)Singular McKean-Vlasov SDEs: Well-posedness, regularities and Wang’s Harnack inequality. Stoc. Proc. and their Appl. no .156: 291-311.

[2] Panpan Ren, (2022)Order Preservation and Positive Correlation for Nonlinear Fokker Planck Equations. Electron. Commun. Probab. no.27, 1-12.

[3] Panpan Ren, Michael Roeckner, Feng-Yu Wang(2022), Linearization of Nonlinear Fokker-Planck Equations and Applications. Journal of Differential Equations. no. 322, 1-37

[4] Panpan Ren, Feng-Yu Wang, (2021) Derivative Formulas in Measure on Riemannian Manifolds. Bullet of London Math. Society. Doi:10.1112/blms.12542.

[5] Panpan Ren, Feng-Yu Wang (2019), Bismut Formula for Lions Derivative of Distribution Dependent SDEs and Applications. Journal of Differential Equations. no.8,4745-4777.

Stephen SMALE

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

Roderick S. C. WONG

W.-Y. QIU and R. WONG, Uniform 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. WONG, Justification of a Perturbation Approximation of the Klein-Gordon Equation, Studies Appl. Math., 102(1999), 375–417.
Y.-Q. ZHAO and R. WONG, Smoothing of Stokes Discontinuity for the Generalized Bessel Function II, Proc. Roy. Soc. Lond. Ser. A, 455 (1999), 3065–3804.
X.-S. JIN and R. WONG, Uniform Asymptotic Expansions for Meixner Polynomials, Constr. Approx., 14 (1998), 113–150.

Jonathan WYLIE

E.B. Yuwono, Y.M. Stokes, H. Tronnolone & J.J. Wylie “Coupled heat and fluid transport in pulled extrusion of optical fiber preforms”
Physics of Fluids 36, 103129 (2024)
D. Gu, J.J. Wylie & Y.M. Stokes “Drawing of fibres composed of shear-thinning or shear-thickening fluid with internal holes”
Journal of Fluid Mechanics 996, A36 (2024).
J.J. Wylie, N.N. Papri, Y.M. Stokes & D. He “Stability of drawing of microstructured optical fibres”
Journal of Fluid Mechanics 962, A12 (2023).
J. J. Wylie & B. H. Bradshaw-Hajek “Bounds for systems of coupled advection-diffusion equations with application to the Poisson-Nernst-Plank equations”
Physical Review E 106, 044208 (2022).
J.J.Wylie & T.Chou “Uniformly accurate nonlinear transmission rate models arising from disease spread through pair contacts”
Physical Review E 103, 032306 (2021).
D.He & J.J.Wylie “Temporal instability of a viscoelastic liquid thread surrounded by another viscoelastic fluid in presence of insoluble surfactant and inertia”
Journal of Non-Newtonian Fluid Mechanics 288, 104468 (2021).
Y.M.Stokes, J.J.Wylie & M.J.Chen “Coupled fluid and energy flow in fabrication of microstructured optical fibres”.
Journal of Fluid Mechanics, 874, 548 (2019).
L.Mertz, G.Stadler, J.Wylie “A Feynman–Kac formula approach for computing expectations and threshold crossing probabilities of non-smooth stochastic dynamical systems”
Physica D 397, 25 (2019).
Q-J. Sun, X-H. Zhao, Y. Zhou, C-C.Yeung, W. Wu, S. Venkatesh, Z-X. Xu, J.J. Wylie, W-J. Li, W-J. & V.A.L. Roy “Fingertip-Skin-Inspired Highly Sensitive and Multifunctional Sensor with Hierarchically Structured Conductive Graphite/Polydimethylsiloxane Foams”
Advanced Functional Materials 1808829 (2019).
B. H. Bradshaw-Hajek & J. J. Wylie “Front and pulse solutions for a system of reaction-diffusion equations with degenerate source terms”
Physical Review E 99, 022214 (2019).
Y.Chan and J.J.Wylie “A continuum model for lithium ion transport inside graphene”
Europhysics Letters 123, 14002 (2018).

Wei XIANG

Chen, Gui-Qiang. , Kuang, Jie. , Xiang, Wei. & Zhang, Yongqian. (2024). Hypersonic Similarity for Steady Compressible Full Euler Flows Over Two-Dimensional Lipschitz Wedges. Advances in Mathematics. 451. 109782.

Chen, Gui-Qiang. , Chen, Jun. & Xiang, Wei. (2021). Stability of Attached Transonic Shocks in Steady Potential Flow past Three-Dimensional Wedges. Communications in Mathematical Physics. 387. 111 - 138.

Huang, Feimin. , Kuang, Jie. , Wang, Dehua. & Xiang, Wei. (2021). Stability of transonic contact discontinuity for two-dimensional steady compressible Euler flows in a finitely long nozzle. Annals of PDE. 7. 1 - 96.

Chen, Gui-Qiang. , Feldman, Mikhail. & Xiang, Wei. (2020). Convexity of Self-Similar Transonic Shocks and Free Boundaries for the Euler Equations for Potential Flow. Archive for Rational Mechanics and Analysis. 238. 47 - 124.

Cheng, Jianfeng. , Du, Lili. & Xiang, Wei. (2019). Incompressible Jet Flows in a de Laval Nozzle with Smooth Detachment. Archive for Rational Mechanics and Analysis. 232. 1031 - 1072.

Shun ZHANG

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.

Lina ZHAO

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),https://doi.org/10.1016/j.cma.2020.112986.

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

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.