Research Interests

• Numerical partial differential equations
• Scientific machine learning
• Computational geoscience
• Computational materials science
• Imaging and computer vision
• High-performance computing

Publications (Google Scholar Profile)

Journal Papers


1. ``Parallel implementation of a pressure-correction projection method for the unsteady incompressible Navier-Stokes equations'', Mathematica Numerica Sinica, Vol. 20, pp. 325-336, 1998; with L.B. Zhang.
2. ``Meshfree, probabilistic determination of point sets and support regions for meshless computing'', Computer Methods in Applied Mechanics and Engineering, Vol. 191, pp. 1349-1366, 2002; with Q. Du and M. Gunzburger.
3. ``Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations'', Parallel Computing, Vol. 28, pp. 1477-1500, 2002; with Q. Du and M. Gunzburger.
4. ``Constrained centroidal Voronoi tessellations for surfaces'', SIAM Journal on Scientific Computing, Vol. 24, pp. 1488-1506, 2003; with Q. Du and M. Gunzburger.
5. ``Comparing the performance of MPICH with Cray's MPI and with SGI's MPI'', Concurrency and Computation: Practice and Experience, Vol. 15, pp. 779-802, 2003; with G. Luecke and M. Kraeva.
6. ``Voronoi-based finite volume methods, optimal Voronoi meshes, and PDEs on the sphere'', Computer Methods in Applied Mechanics and Engineering, Vol. 192, pp. 3933-3957, 2003; with Q. Du and M. Gunzburger.
7. ``Approximation of exact boundary controllability problems for the 1-D wave equation by optimization based methods'', Contemporary Mathematics, Vol. 330, pp. 133-153, AMS, 2003; with M. Gunzburger and L.S. Hou.
8. ``Numerical simulations of the quantized vortices in a thin superconducting hollow sphere'', Journal of Computational Physics, Vol. 201, pp. 511-530, 2004; with Q. Du.
9. ``Approximations of a Ginzburg-Landau model for superconducting hollow spheres based on spherical centroidal Voronoi tessellations'', Mathematics of Computation, Vol. 74, pp. 1257-1280, 2005; with Q. Du.
10. ``Finite volume methods on spheres and spherical centroidal Voronoi meshes'', SIAM Journal on Numerical Analysis, Vol. 43, pp. 1673-1692, 2005; with Q. Du.
11. ``Quantitative evaluation of three cortical surface flattening methods'', Neuroimage, Vol. 28, pp. 869-880, 2005; with D. Rottenberg and et al.
12. ``Convergence of the Lloyd algorithm for computing centroidal Voronoi tessellations'', SIAM Journal on Numerical Analysis, Vol. 44, pp. 102-119, 2006; with Q. Du and M. Emelianenko.
13. ``Centroidal Voronoi tessellation algorithms for image compression, segmentation, and multichannel restoration'', Journal of Mathematical Imaging and Vision, Vol. 24, pp. 177-194, 2006; with Q. Du, M. Gunzburger and X. Wang.
14. ``A numerical method for exact boundary controllability problems for the 2-D wave equation'', Computer & Mathematics with Applications, Vol. 51, pp. 721-750, 2006; with M. Gunzburger and L.S. Hou.
15. ``Adaptive finite element methods for elliptic PDEs based on conforming centroidal Voronoi Delaunay triangulations'', SIAM Journal on Scientific Computing, Vol. 28, pp. 2023-2053, 2006; with M. Gunzburger and W.-D. Zhao.
16. ``Conforming centroidal Voronoi Delaunay triangulation for quality mesh generation'', International Journal of Numerical Analysis and Modeling, Vol. 4, pp. 531-547, 2007.
17. ``Nondegeneracy and weak global convergence of the Lloyd algorithm in R^d'', SIAM Journal on Numerical Analysis, Vol. 46, pp. 1423-1441, 2008; with M. Emelianenko and A. Rand.
18. ``Convergence analysis of a splitting method for stochastic differential equations'', International Journal of Numerical Analysis and Modeling, Vol. 5, pp. 673-692, 2008; with W.-D. Zhao and L. Tian.
19. ``Numerical simulations of the steady Navier-Stokes equations using adaptive meshing schemes'', International Journal for Numerical Methods in Fluids, Vol. 56, pp. 703-721, 2008; with H.-C. Lee and L. Tian.
20. ``A multi-resolution method for climate system modeling'', Ocean Dynamics, Vol. 58, pp. 475-498, 2008; with T. Ringler and M. Gunzburger.
21. ``Constrained CVT meshes and a comparison of triangular mesh generators'', Computational Geometry: Theory and Applications, Vol. 42, pp. 1-19, 2009; with H. Nguyen, J. Burkardt, M. Gunzburger and Yuki Saka.
22. ``A finite volume method on general surfaces and its error estimates'', Journal of Mathematical Analysis and Applications, Vol. 352, pp. 645-668, 2009; with Qiang Du.
23. ``Analysis of a mixed finite-volume discretization for fourth-order equations on general surfaces'', IMA Journal of Numerical Analysis, Vol. 29, pp. 376-403, 2009; with Q. Du and L. Tian.
24. ``Adaptive finite volume methods for steady convection-diffusion equations with mesh optimization'', Discrete and Continuous Dynamical Systems B, Vol. 11, pp. 669-690, 2009; with W. Wu and W.-D. Zhao.
25. ``Adaptive anisotropic meshing for steady convection-dominated problems'', Computer Methods in Applied Mechanics and Engineering, Vol. 198, pp. 2964-2981, 2009; with H. Nguyen, J. Burkardt and M. Gunzburger.
26. ``An edge-weighted centroidal Voronoi tessellation model for image segmentation'', IEEE Transactions on Image Processing, Vol. 18, pp. 1844-1858, 2009; with J. Wang and X. Wang.
27. ``A posteriori error estimates for finite volume approximations of elliptic equations on general surfaces'', Computer Methods in Applied Mechanics and Engineering, Vol. 198, pp. 716-726, 2009; with L. Tian and D. Wang.
28. ``A variational phase field method for curve smoothing'', Journal of Computational Physics, Vol. 229, pp. 2390-2400, 2010; with L. Zhu, Y. Wang and D. Wang.
29. ``Advances in studies and applications of centroidal Voronoi tessellations'', Numerical Mathematics: Theory, Methods and Applications, Vol. 3, pp. 119-142, 2010; with Q. Du and M. Gunzburger.
30. ``Effects of strong anchoring on the dynamic moduli of heterogeneous nematic polymers II: Oblique anchoring angles'', Rheologica Acta, Vol. 49, pp. 335-347, 2010; with E. Choate and M.G. Forest.
31. ``A stable multi-step scheme for solving backward stochastic differential equations'', SIAM Journal on Numerical Analysis, Vol. 48, pp. 1369-1394, 2010; with W.-D. Zhao and G. Zhang.
32. ``Coupled models and parallel simulations for three dimensional full-Stokes ice sheet modeling'', Numerical Mathematics: Theory, Methods and Applications, Vol. 4, pp. 359-381, 2011; with H. Zhang and et al.
33. ``Finite element approximation of the Cahn-Hilliard equations on surfaces", Computer Methods in Applied Mechanics and Engineering, Vol. 200, pp. 2458-2470, 2011; with Q. Du and L. Tian.
34. ``Image segmentation using local variation and edge-weighted centroidal Voronoi tessellations'', IEEE Transactions on Image Processing, Vol. 20, pp. 3242-3256, 2011; with J. Wang and X. Wang.
35. ``Exploring a multi-resolution modeling approach within the shallow-water equations'', Monthly Weather Review, Vol. 139, pp. 3348-3368, 2011; with T. Ringler and et al.
36. ``A parallel high-order accurate finite element nonlinear Stokes ice sheet model and benchmark experiments'', Journal of Geophysical Research, Vol. 117, F01001 (24 pages), 2012; with W. Leng and et al.
37. ``Covolume-upwind finite volume approximations for linear elliptic partial differential equations'', Journal of Computational Physics, Vol. 231, pp. 6097-6120, 2012; with X. Xiao, L. Tian and W.-D. Zhao.
38. ``Generalized edge-weighted centroidal Voronoi tessellations for geometry smoothing'', Computers & Mathematics with Applications, Vol. 64, pp. 2663-2681, 2012; with Y. Wang, D. Wang and X. Wang.
39. ``Manufactured solutions and the verification of three-dimensional Stokes ice-sheet models'', The Cryosphere, Vol. 7, pp. 19-29, 2013. with W. Leng, M. Gunzburger and S. Price.
40. ``Error estimates of the Crank-Nicolson scheme for solving backward stochastic differential equations'', International Journal of Numerical Analysis and Modeling, Vol. 10, pp. 876-898, 2013; with W.-D. Zhao and Y. Li.
41. ``A posteriori error analysis of finite element method for linear nonlocal diffusion and peridynamic models'', Mathematics of Computation, Vol. 82, pp. 1889-1922, 2013; with Q. Du, L. Tian and K. Zhou.
42. ``3D superalloy grain segmentation using a multichannel edge-weighted centroidal Voronoi tessellation algorithm", IEEE Transactions on Image Processing, Vol. 22, 4123-4135, 2013; with Y. Cao, Y. Zhou and S. Wang.
43. ``A numerical method and its error estimates for the decoupled forward-backward stochastic differential equations'', Communications in Computational Physics, Vol. 15, pp. 618-646, 2014; with W.-D. Zhao and W. Zhang.
44. ``Compact implicit integration factor methods for a family of semilinear fourth-order parabolic equations'', Discrete and Continuous Dynamical Systems B, Vol. 19, pp. 1667-1687, 2014; with X. Liu and W. Leng.
45. ``Finite Element three-dimensional Stokes ice sheet dynamics model with enhanced local mass conservation'', Journal of Computational Physics, Vol. 274, pp. 299-311, 2014; with W. Leng and et al.
46. ``A parallel computational model for three-dimensional, thermo-mechanical Stokes flow simulations of glaciers and ice sheets'', Communications in Computational Physics, Vol. 16, pp. 1056-1080, 2014; with W. Leng, M. Gunzburger and S. Price.
47. ``Fast explicit integration factor methods for semilinear parabolic equations'', Journal of Scientific Computing, Vol. 62, pp. 431-455, 2015; with Q. Du, J. Zhang and L. Zhu.
48. ``Nonlocal convection-diffusion problems and finite element approximations'', Computer Methods in Applied Mechanics and Engineering, Vol. 289, pp. 60-78, 2015; with H. Tian and Q. Du.
49. ``Multiscale superpixels and supervoxels based on hierarchical edge-weighted centroidal Voronoi tessellation'', IEEE Transaction on Image Processing, Vol. 24, pp. 3834-3845, 2015; with Y. Zhou and S. Wang.
50. ``Fast and accurate algorithms for simulating coarsening dynamics of Cahn-Hilliard equations'', Computational Materials Science, Vol. 108, pp. 272-282, 2015; with J. Zhang and Q. Du.
51. ``Thermomechanically coupled glacier modeling for land-terminating glaciers: A comparison of two-dimensional, first-order and three-dimensional, full Stokes approaches'', Journal of Glaciology, Vol. 61, pp. 702-712, 2015; with T. Zhang and et al.
52. ``Nodal-type collocation methods for hypersingular integral equations and nonlocal diffusion problems", Computer Methods in Applied Mechanics and Engineering, Vol. 299, pp. 401-420, 2016; With X. Zhang and M. Gunzburger.
53. ``A multistep scheme for decoupled forward-backward stochastic differential equations, Numerical Mathematics: Theory, Methods and Applications, Vol. 9, pp. 262-288, 2016; with W. Zhao and W. Zhang
54. ``Quadrature rules for finite element approximations of 1D nonlocal problems", Journal of Computational Physics, Vol. 310, pp. 213-236, 2016; With X. Zhang and M. Gunzburger.
55. ``Efficient and stable exponential time differencing Runge-Kutta methods for phase field elastic bending energy models'', Journal of Computational Physics, Vol. 316, pp. 21-38, 2016; With X. Wang and Q. Du.
56. ``Fast high-order compact exponential time differencing Runge-Kutta methods for second-order semilinear parabolic equations", Journal of Scientific Computing, Vol. 67, pp. 1043-1065, 2016; With L. Zhu and W. Zhao.
57. ``A fuzzy edge-weighted centroidal Voronoi tessellation model for image segmentation'', Computers & Mathematics with Applications, Vol. 71, pp. 2272-2284, 2016; with X. Fan, X. Wang and S. Wang.
58. ``Efficient linear schemes with unconditionally energy stability for the phase field elastic bending energy model'', Computer Methods in Applied Mechanics and Engineering Vol. 315, pp. 691-712, 2017; with X. Yang.
59. ``A comparison of two Stokes ice sheet models applied to the Marine Ice Sheet Model Intercomparison Project for plan view models (MISMIP3D)'', The Cryosphere, Vol. 11, pp. 179-190, 2017; With T. Zhang, S. Price and et al.
60. ``Linear and unconditionally energy stable schemes for the binary fluid-surfactant phase field model'', Computer Methods in Applied Mechanics and Engineering, Vol. 318, pp. 1005-1029, 2017; with X. Yang.
61. ``A conservative nonlocal convection-diffusion model and asymptotically compatible finite difference discretization'', Computer Methods in Applied Mechanics and Engineering, Vol. 320, pp. 46-67, 2017; with H. Tian and Q. Du.
62. ``Exponential time differencing gauge method for incompressible viscous flows'', Communications in Computational Physics, Vol. 22, pp. 517-541, 2017; with Z. Wang.
63. ``Energy stability and convergence of exponential time differencing schemes for the epitaxial growth model without slope selection'', Mathematics of Computation, Vol. 87, pp. 1859-1885, 2018; with X. Li, Z.Qiao and H. Zhang
64. ``Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation'', Journal of Computational Physics, Vol. 363, pp. 39-54, 2018; with Q. Du, X. Li and Z. Qiao.
65. ``A fast algorithm for solving the space-time fractional diffusion equation'', Computers & Mathematics with Applications, Vol. 75, pp. 1929-1941, 2018; with S. Duo and Y. Zhang.
66. ``An exponential time-integrator scheme for steady and unsteady inviscid flows'', Journal of Computational Physics, Vol. 365, pp. 206-225, 2018; with S. Li, L. Luo and Z.J. Wang.
67. ``Unconditionally energy stable linear schemes for the diffuse interface model with Peng-Robinson equation of state'', Journal of Scientific Computing, Vol. 75, pp. 993-1015, 2018; with H. Li, C. Zhang and Q. Peng.
68. ``An accurate and asymptotically compatible collocation scheme for nonlocal diffusion problems'', Applied Numerical Mathematics, Vol. 133, pp. 52-68, 2018; with X. Zhang and J. Wu.
69. ``Conservative finite volume schemes for solving the quasi-geostrophic equation on coastal-conforming unstructured primal-dual meshes'', Quarterly Journal of the Royal Meteorological Society, Vol. 144, pp. 1106-1122, 2018; with Q. Chen.
70. ``Nodal-type Newton-Cotes rules for fractional order hypersingular integrals'', East Asian Journal of Applied Mathematics Vol. 8, pp. 697-714, 2018; with H. Feng and et al.
71. ``Fast spherical centroidal Voronoi mesh generation: a Lloyd-preconditioned LBFGS method in parallel'', Journal of Computational Physics, Vol. 367, pp. 235-252, 2018; with H. Yang and M. Gunzburger.
72. ``Overlapping localized exponential time differencing method for diffusion problems'', Communications in Mathematical Sciences, Vol. 16, pp. 1531-1555, 2018; with T.-T.-P. Hoang and Z. Wang.
73. ``A new collocation method for solving certain Hadamard finite-part integral equations'', International Journal of Numerical Analysis and Modeling, Vol. 16, pp. 240-254, 2019; with H. Feng, Y. Gao and X. Zhang.
74. ``A discontinuous Galerkin method for one-dimensional time-dependent nonlocal diffusion problems'', Mathematics of Computation, Vol. 88, pp. 123-147, 2019; with Q. Du and J. Lu.
75. ``Conservative explicit local time-stepping schemes for the shallow water equations'', Journal of Computational Physics, Vol. 382, pp. 152-176, 2019; with T.-T.-P. Hoang and et al.
76. ``Analysis of fully discrete approximations for dissipative systems and application to time-dependent nonlocal diffusion problems'', Journal of Scientific Computing, Vol. 78, pp. 1438-1466, 2019; with Q. Du and J. Lu.
77. ``A fast compact exponential time differencing method for semilinear parabolic equations with Neumann boundary conditions'', Applied Mathematics Letters, Vol. 94, pp. 257-265, 2019; with J. Huang and B. Wu.
78. ``Maximum principle preserving exponential time differencing schemes for the nonlocal Allen-Cahn equation'', SIAM Journal on Numerical Analysis, Vol. 57, pp. 875-898, 2019; with Q. Du, X. Li and Z. Qiao.
79. ``Linear and unconditionally energy stable schemes for the multi-component two-phase diffuse interface model with Peng-Robinson equation of state'', Communications in Computational Physics, Vol. 16, pp. 1071-1091, 2019; with C. Zhang, H. Li and X. Zhang.
80. ``An additive overlapping domain decomposition method for the Helmholtz equation'', SIAM Journal on Scientific Computing, Vol. 41, pp. A1252-A1277, 2019; with W. Leng.
81. ``A stabilized semi-implicit gauge invariant numerical method for the time-dependent Ginzburg-Landau equations'', Journal of Scientific Computing, Vol. 80, pp. 1083-1115, 2019; with H. Gao and W. Xie.
82. ``Convergence analysis of exponential time differencing schemes for the Cahn-Hilliard equation'', Communications in Computational Physics, Vol. 16, pp. 1510-1529, 2019; with X. Li and X.-C. Meng.
83. ``A fast compact time integrator method for a family of general order semilinear evolution equations'', Journal of Computational Physics, Vol. 393, pp. 313-336, 2019; with J. Huang and B. Wu.
84. ``An efficient second-order linear scheme for the phase field model of corrosive dissolution", Journal of Computational and Applied Mathematics, Vol. 367, #112472 (16 pages), 2020; with H. Gao, R. Duddu, H. Li.
85. ``A spectral collocation method for nonlocal diffusion equations with volume constrained boundary conditions'', Applied Mathematics and Computation, Vol. 370, #124930 (15 pages), 2020; with H. Tian and J. Zhang.
86. ``A discontinuous Galerkin method with penalty for one-dimensional nonlocal diffusion problems'', Communications on Applied Mathematics and Computation, Vol. 2, pp. 31-55, 2020; with Q. Du, J. Lu and X. Tian.
87. ``A space-time adaptive finite element method with exponential time integrator for the phase field model of pitting corrosion'', Journal of Computational Physics, Vol. 402, #109191 (15 pages), 2020; with H. Gao, X. Li and R. Duddu.
88. ``Nonoverlapping localized Exponential time differencing methods for diffusion problems'', Journal of Scientific Computing, Vol. 82, #37, 2020; with T.-T.-P. Hoang and Z. Wang.
89. ``High order explicit local time-stepping methods for hyperbolic conservation laws'', Mathematics of Computation, Vol. 89, pp. 1087-1842, 2020; with T.-T.-P. Hoang, W. Leng and Z. Wang.
90. ``Numerical investigation of ensemble methods with block iterative solvers for evolution problems'', Discrete and Continuous Dynamical Systems B, Vol. 25, pp. 4905-4923, 2020; with W. Leng, Z. Wang and S. Yuan.
91. ``Localized exponential time differencing methods for shallow water equations: Algorithms and numerical study'', Communications in Computational Physics, Vol. 29, pp. 80-110, 2021; with X. Meng, Z. Wang and T.-T.-P. Hoang.
92. ``DeepFusion: A simple way to improve traditional multi-view stereo methods using deep learning'', Knowledge-Based Systems, Vol. 221, #106968, 2021; with Y. Wang and et al.
93. ``A diagonal sweeping domain decomposition method with source transfer for the Helmholtz equation'', Communications in Computational Physics, Vol. 29, pp. 357-398, 2021; with W. Leng.
94. ``Overlapping domain decomposition-based exponential time differencing methods for semilinear parabolic equations'', BIT Numerical Mathematics, Vol. 61, pp. 1-36, 2021; with X. Li and T.-T.-P. Hoang.
95. ``Maximum bound principles for a class of semilinear parabolic equations and exponential time differencing schemes'', SIAM Review, Vol. 63, pp. 317-359, 2021; with Q. Du, X. Li and Z. Qiao.
96. ``Unconditionally maximum bound principle preserving linear schemes for the conservative Allen-Cahn equation with nonlocal constraint", Journal of Scientific Computing, Vol. 87, #98 (32 pages), 2021; with J. Li, Y. Cai and X. Feng.
97. ``Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations'', Journal of Computational Physics, Vol. 439, #110405 (18 pages), 2021; with X. Li, Z. Qiao and J. Yang.
98. ``Stabilized integrating factor Runge-Kutta method and unconditional preservation of maximum bound principle", SIAM Journal on Scientific Computing, Vol. 43, pp. A1780-A1802, 2021; with J. Li, X. Li and X. Feng.
99. ``Nonlinear level set learning for function approximation on sparse data with applications to parametric differential equations'', Numerical Mathematics: Theory, Methods and Applications, Vol. 14, pp. 839-861, 2021; with A. Gruber and et al.
100. ``Parallel exponential time differencing methods for geophysical flow simulations'', Computer Methods in Applied Mechanics and Engineering, Vol. 387, #114151 (24 pages), 2021; with R. Lan and et al.
101. ``Conservative numerical schemes with optimal dispersive wave relations -- Part I. Derivations and analyses'', Numerische Mathematik, Vol. 149, pp. 43-85, 2021; with Q. Chen and R. Temam.
102. ``Trace transfer-based diagonal sweeping domain decomposition method for the Helmholtz equation: algorithms and convergence analysis'', Journal of Computational Physics, Vol. 455, #110980 (29 pages), 2022; with W. Leng.
103. ``High-order multirate explicit time stepping schemes for the baroclinic-barotropic split dynamics in primitive equations'', Journal of Computational Physics, Vol. 457, #111050 (25 pages), 2022; with R. Lan and et al.
104. ``A comparison of neural network architectures for data-driven reduced-order modeling'', Computer Methods in Applied Mechanics and Engineering, Vol. 393, #114764 (26 pages), 2022; with A. Gruber, M.Gunzburger and Z. Wang.
105. ``GW-PINN: A deep learning method for solving regional groundwater problems'', Advances in Water Resources, Vol. 165, #104243 (29 pages), 2022; with X. Zhang and et al.
106. ``Stabilized exponential-SAV schemes preserving energy dissipation law and maximum bound principle for the Allen-Cahn type equations'', Journal of Scientific Computing, Vol. 92, #66 (34 pages), 2022; with X. Li and Z. Qiao.
107. ``Generalized SAV-exponential integrator schemes for Allen-Cahn type gradient flows'', SIAM Journal on Numerical Analysis, Vol. 60, pp. 1905-1931, 2022; with Z. Qiao and X. Li.
108. ``Conservative numerical schemes with optimal dispersive wave relations -- Part II. Numerical evaluations'', Journal of Scientific Computing, Vol. 92, #72 (30 pages), 2022; with Q. Chen and R. Temam.
109. ``Unconditionally stable exponential time differencing schemes for the mass-conserving Allen-Cahn equation with nonlocal and local effects'', Numerical Methods for Partial Differential Equations, Vol. 38, pp. 1636-1657, 2022; with K. Jiang, J. Li and X. Li.
110. ``A dual-horizon nonlocal diffusion model and its finite element discretization'', Numerical Mathematics: Theory, Methods and Applications, Vol. 15, pp. 990-1008, 2022; with H. Tian and M. Bi.
111. ``A one-stage domain adaptation network with image alignment for unsupervised nighttime semantic segmentation'', IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 45, pp. 58-72, 2023; with X. Wu, Z. Wu and S. Wang.
112. ``Energetically consistent model reduction for metriplectic systems'', Computer Methods in Applied Mechanics and Engineering, Vol. 404, #115709 (21 pages), 2023; with A. Gruber, M. Gunzburger and Z. Wang.
113. ``Operator splitting based structure-preserving numerical schemes for the mass-conserving convective Allen-Cahn equation'', Journal of Computational Physics, Vol. 472, #111695 (22 pages), 2023; with R. Lan, J. Li and Y. Cai.
114. ``A multifidelity Monte Carlo method for realistic computational budgets'', Journal of Scientific Computing, Vol. 94, #2 (18 pages), 2023; with A. Gruber, M. Gunzburger and Z. Wang.
115. ``Stabilized exponential time differencing schemes for the convective Allen-Cahn equation'', Communications in Mathematical Sciences, Vol. 21, pp. 127-150, 2023; with Y. Cai, R. Lan and J. Li.
116. ``Low regularity integrators for semilinear parabolic equations with maximum bound principles'', BIT Numerical Mathematics, Vol. 63, #2 (32 page), 2023; with C.-K. Doan, T.-T.-P. Hoang and K. Schratz.
117. ``Multifidelity Monte Carlo estimation for efficient uncertainty quantification in climate-related modeling'', Geoscientific Model Development, Vol. 15, pp. 814-830, 2023; with A. Gruber and et al.
118. ``Unified solution of conjugate fluid and solid heat transfer -- Part I. Solid heat conduction'', Advances in Applied Mathematics and Mechanics, Vol. 16, pp. 1213-1229, 2023; with S. Li.
119. ``Level set learning with pseudo-reversible neural networks for nonlinear dimension reduction in function approximation'', SIAM Journal on Scientific Computing, Vol. 45, pp. A1148-A1171, 2023; with Y. Teng and et al.
120. ``Fully discrete error estimates of first-order low regularity integrators for the Allen-Cahn equation'', Numerical Methods for Partial Differential Equations, Vol. 39, pp. 3594-3608, 2023; with C.-K. Doan and T.-T.-P. Hoang.
121. ``Efficient exponential integrator finite element method for semilinear parabolic equations'', SIAM Journal on Scientific Computing, Vol. 45, pp. A1545-A1570, 2023; with J. Huang and Y. Li.
122. ``A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with general mobility'', Mathematics of Computation, Vol. 92, pp. 2515-2542, 2023; with D. Hou and Z. Qiao.
123. ``Quantifying atomically dispersed catalysts using deep learning assisted microscopy'', Nano Letters, Vol. 23, pp. 7442-7448, 2023; with H. Ni and et al.
124. ``Second-order semi-Lagrangian exponential time differencing method with enhanced error estimate for the convective Allen-Cahn equation'', Journal of Scientific Computing, Vol. 97, #7 (29 pages), 2023; with J. Li and et al.
125. ``A second-order implicit-explicit scheme for the baroclinic-barotropic split system of primitive equations'', Communications in Computational Physics, Vol. 34, pp. 1306-1331, 2023; with R. Lan, M. Gunzburger and Z. Wang.
126. ``A deep learning method for the dynamics of classic and conservative Allen-Chan equations based on fully-discrete operators", Journal of Computational Physics, Vol. 496, #112589 (20 pages), 2024; with Y. Geng, Y. Teng and Z. Wang.
127. ``Transferable neural networks for partial differential equations'', Journal of Scientific Computing, 99, #2 (25 pages), 2024; with Z. Zhang, F. Bao and G. Zhang.
128. ``A novel vertex-centered finite-volume method for solving Richards' equation and its adaptation to local mesh refinement", Journal of Computational Physics, 501, #112766 (22 pages), 2024; with Y. Qian and et al.
129. ``A Parareal exponential integrator finite element method for semilinear parabolic equations: algorithm and analysis", Numerical Methods for Partial Differential Equations, 40, e23116 (20 pages), 2024; with J. Huang and Y. Xu.
130. ``A high-order multi-time-step scheme for bond-based peridynamics", Journal of Computational and Applied Mathematics, 449, #115968 (13 pages); with C. Liu and etc.
131. ``Deep surrogate model for learning Green's function associated with linear reaction-diffusion operator", International Journal for Numerical Analysis and Modeling, 21, pp. 697-715, 2024; with J. Jia and X. Zhang.
132. ``CryoTRANS: Predicting high resolution maps of rare conformations from self-supervised trajectories in Cryo-EM'', Communications Biology, 7, #1058 (12 pages), 2024; with X. Fan, C. Bao and et al.
133. ``Gradient-preserving operator inference: data-driven reduced-order models for equations of gradient structures'', Computer Methods in Applied Mechanics and Engineering, 427, #117033 (22 pages), 2024; with Y. Geng and et al.
134. ``A novel bond-based nonlocal diffusion model with matrix-valued coefficients in non-divergence form and its collocation discretization", Computers & Mathematics with Applications, 173, pp. 33-46, 2024; with H. Tian and J. Lu.
135. ``A linear doubly stabilized Crank-Nicolson scheme for the Allen-Cahn equation with a general mobility'', Advances in Applied Mathematics and Mechanics, 16, pp. 1009-1038, 2024; with D. Hou and Z. Qiao.
136. ``Energy-dissipative spectral renormalization exponential integrator method for gradient flow problems'', SIAM Journal on Scientific Computing, 521, pp. A3477-A3502, 2024; with D. Hou and Z. Qiao.
137. ``A nonlocal convection-diffusion model with Gaussian-type kernels and meshfree discretization", Numerical Methods for Partial Differential Equations, 40, e23141 (23 pages), 2024; with H. Tian, X. Liu and C. Liu.
138. ``Low regularity integrators for the conservative Allen-Cahn equation with a nonlocal constraint", Journal of Scientific Computing, 57, #110 (31 pages), 2024; with C.-K. Doan and T.-T.-P. Hoang.
139. ``Numerical analysis of a class of penalty discontinuous Galerkin methods for nonlocal diffusion problems", ESAIM: Mathematical Modelling and Numerical Analysis, 58, pp. 2035-2059, 2024; with Q. Du, J. Lu and X. Tian.
140. ``Dynamically regularized Lagrange multiplier schemes with energy dissipation for the incompressible Navier-Stokes equations'', Journal of Computational Physics, 521, #113550 (22 pages), 2025; with C.-K. Doan, T.-T.-P. Hoang and R. Lan.
141. ``An end-to-end deep learning method for solving nonlocal Allen-Cahn and Cahn-Hilliard phase-field models", Computer Methods in Applied Mechanics and Engineering, 436, #117721 (21 pages), 2025; with Y Geng and et al.
142. ``Unified solution of conjugate fluid and solid heat transfer -- Part II. High-order conjugate heat transfer", Advances in Applied Mathematics and Mechanics, 17, pp. 758-777， 2025; with S. Li.
143. ``A multiple transferable neural network method with domain decomposition for elliptic interface problems", Journal of Computational Physics, 530, #113902 (26 pages), 2025; with T. Lu and L. Zhu.
144. ``Unconditionally original energy-dissipative and MBP-preserving Crank-Nicolson scheme for the Allen-Cahn equation with general mobility", Computers & Mathematics with Applications, 191, pp. 86-104， 2025 ; with D. Hou and H. Liu.
145. ``Data-driven reduced-order models for port-Hamiltonian systems with operator inference", Computer Methods in Applied Mechanics and Engineering, to appear; with Y. Geng, B. Kramer and Z. Wang.
146. ``Robust error analysis of stabilized linear EMAC-SAV finite element schemes for the incompressible Navier-Stokes equation", Mathematics of Computation, to appear; with R. Lan and M. Liu.
147. ``A physics-informed deep learning paradigm with adaptively weighted loss for modeling soil water flows'', Water Resources Research, to appear; with C. Li and et al.
148. ``Efficient high-order explicit local time-stepping schemes for dual-horizon peridynamics", submitted; with H. Tian et al.
149. ``A deep convolutional surrogate model with incomplete solve loss for parametrized steady-state diffusion problems", submitted; with J. Jia and et al.
150. ``Dynamically regularized Lagrange multiplier method for the Cahn-Hilliard-Navier-Stokes system", submitted; with C.-K. Doan, T.-T.-P. Hoang and R. Lan.
151. ``Linear maximum bound principle preserving finite difference schemes for the convective Allen-Cahn equation", submitted; with J. Li and K. Wang.
152. ``An efficient conservative staggered discontinuous Galerkin method for the shallow water equations'', submitted; with W. Leng and R. Lan.
153. ``A high-order radial basis function finite difference method for linear anisotropic elliptic interface problems", submitted; with T. Cheng and X. Zhang.
154. ``An exponential integrator spectral Galerkin method for semilinear parabolic equations'', submitted; with J. Huang and Y. Xu.
155. ``Lift-and-embed learning method for solving scalar hyperbolic equations with discontinuous solutions'', submitted; with Z. Liu, Q. Sun and X. Xu.
156. ``Unconditional energy stable and mass-conserving Gauge-Uzawa MSAV methods for the Cahn-Hilliard-Navier-Stokes model'', submitted; with B. Kuang, H. Fu and R. Lan.

Conference Proceedings


157. ``A numerical method for controllability problems for the wave equation'', Proceedings of Ninth International Conference on Hyperbolic Problems, Pasadena, March, pp. 557-568, 2002; with M. Gunzburger and L.S. Hou.
158. ``Cortical surface flattening using least square conformal mapping with minimal metric distortion'', Proceedings of Second IEEE International Symposium on Biomedical Imaging (ISBI'2004), pp. 77-80, Arlington, VA, April, 2004; with D. Rottenberg and et al.
159. ``Effects of director angle anchoring conditions on the dynamic moduli of heterogeneous nematic polymers'', Proceedings of XVth International Congress on Rheology, pp. 481-483, Monterey, CA, August, 2008; with E. Choate, M.G. Forrest and Z. Cui.
160. ``3D open-surface shape correspondence for statistical shape modeling: Identifying topologically consistent landmarks'', Proceedings of Twelfth IEEE International Conference on Computer Vision (ICCV'2009), pp. 1857-1864, Kyoto, Japan, September-October, 2009; with P. Dahal, S. Wang and et al.
161. ``A multichannel edge-weighted centroidal Voronoi tessellation algorithm for 3D super-alloy image segmentation'', Proceedings of Twenty-Fourth IEEE Conference on Computer Vision and Pattern Recognition (CVPR'2011), pp. 17-24, Colorado Springs, CO, June, 2011; with Y. Cao and et al.
162. ``Grain segmentation of 3D superalloy images using multichannel EWCVT under human annotation constraints'', Proceedings of Twelfth European Conference on Computer Vision (ECCV'2012), Vol. 3, pp. 244-257, Firenze, Italy, October, 2012; with Y. Cao and S. Wang.
163. ``Edge-weighted centroid voronoi tessellation with propagation of consistency constraint for 3d grain segmentation in microscopic superalloy images'', Proceedings of Tenth IEEE Workshop on Perception Beyond the Visible Spectrum (PBVS'2014), pp. 258-265, Columbus, OH, 2014; with Y. Zhou and et al.
164. ``Multiscale superpixels and supervoxels based on hierarchical edge-weighted centroidal Voronoi tessellation'', Proceedings of 2015 IEEE Winter Conference on Applications of Computer Vision (WACV'2015), pp. 1076-1083, Waikoloa Beach, HI, January, 2015; with Y. Zhou and S. Wang.
165. ``Extreme scale phase field simulations of coarsening dynamics on the Sunway Taihulight supercomputer'', Proceedings of 2016 International Conference for High Performance Computing, Networking, Storage and Analysis (SC'2016), Article #4 (12 pages), Salt Lake City, UT, November, 2016; with J. Zhang et al. -- (2016 ACM Gordon-Bell Prize finalist)
166. ``Explicit large time stepping with a second-order exponential time integrator scheme for unsteady and steady flows'', Proceedings of the AIAA SciTech Forum and Exposition (SciTech'2017), Article #0753 (18 pages), Grapevine, Texas, Janauary, 2017; With S. Li, Z.J. Wang and L. Luo.
167. ``Fast time integration of Navier-Stokes equations with an exponential-integrator scheme'', Proceedings of 2018 AIAA SciTech Forum and Exposition (SciTech'2018), Article #0369 (12 pages), Kissimmee, Florida, Janauary 2018; With S. Li, Z.J. Wang and L. Luo.
168. ``Exponential time-marching method for the unsteady Navier-Stokes equations'', Proceedings of 2019 AIAA SciTech Forum and Exposition (SciTech'2019), Article #0907 (11 pages) San Diego, CA, January, 2019; With S. Li.
169. ``Semantic stereo matching with pyramid cost volumes'', Proceedings of Seventeenth International Conference on Computer Vision (ICCV'2019), pp. 7484-7493, Seoul, Korea, October-November, 2019; with Z. Wu et al.
170. ``Spatial correspondence with generative adversarial network: learning depth from monocular videos'', Proceedings of Seventeenth International Conference on Computer Vision (ICCV'2019), pp. 7494-7504, Seoul, Korea, October-November, 2019; with Z. Wu et al.
171. ``P-MVSNet: learning patch-wise matching correspondence aggregation for multi-view stereo'', Proceedings of Seventeenth International Conference on Computer Vision (ICCV'2019), pp. 10452-10461, Seoul, Korea, October-November, 2019; with K. Luo et al.
172. ``Multi-video temporal synchronization by matching pose features of shared moving subjects'', Proceedings of the ICCV Workshop on Moving Camera (MCMVS'2019), Seoul, Korea, October, 2019; with X. Wu et al.
173. ``Adaptive exponential time-marching method for the compressible Navier-Stokes equations'', Proceedings of 2020 AIAA SciTech Forum and Exposition (SciTech'2020), DOI: 10.2514/6.2020-2033, Orlando, FL, January, 2020; with S. Li and H. Si.
174. ``SalSAC: A video saliency prediction model based on shuffled attentions and correlation-based ConvLSTM'', Proceedings of Thirty-Fourth AAAI Conference on Artificial Intelligence (AAAI'2020), 3497), pp. 12410-12417, New York, February, 2020; with X. Wu et al.
175. ``Attention-enhanced multi-view stereo'', Proceedings of Thirty-Third IEEE Conference on Computer Vision and Pattern Recognition (CVPR'2020), pp. 1590-1599, June, 2020; with K. Luo et al.
176. ``Mesh-guided multi-view stereo with pyramid architecture'', Proceedings of Thirty-Third IEEE Conference on CComputer Vision and Pattern Recognition (CVPR'2020), pp. 2039-2048, June, 2020; with Y. Wang et al.
177. ``Binaural audio visual localization'', Proceedings of Thirty-Fifth AAAI Conference on Artificial Intelligence (AAAI'2021), 35(4), pp. 2961-2968, February, 2021; with X. Wu et al.
178. ``DANNet: A one-stage domain adaptation network for unsupervised nighttime semantic segmentation'', Proceedings of Thirty-Fourth IEEE Conference on Computer Vision and Pattern Recognition (CVPR'2021), pp. 15769-15778, June, 2021; with X. Wu et al. (Oral)
179. ``Learning depth from single image using depth-aware convolution and stereo knowledge'', Proceedings of IEEE International Conference on Multimedia and Expo (ICME'2021), pp. 1-6, 2021; with Z. Wu et al. (Oral)
180. ``Implicit form neural network for learning scalar hyperbolic conservation laws'', Proceedings of Second Mathematical and Scientific Machine Learning Conference (MSML'2021), PMLR 145, pp. 1082-1098, August, 2021; with X. Zhang and T. Cheng.
181. ``Style mixing and patchwise prototypical matching for one-shot unsupervised domain adaptive semantic segmentation'', Proceedings of Thirty-Sixth AAAI Conference on Artificial Intelligence (AAAI'2022), 36(3), pp. 2740-2749, February-March, 2022; with X. Wu et al.
182. ``Learning Green's functions of linear reaction-diffusion equations with application to fast numerical solver'', Proceedings of Third Mathematical and Scientific Machine Learning Conference (MSML'2022), Beijing, China, August, 2022; with Y. Teng, X. Zhang and Z. Wang.
183. ``Is it necessary to transfer temporal knowledge for domain adaptive video semantic segmentation?'', Proceedings of Seventeenth European Conference on Computer Vision (ECCV'2022), Part XXVII, pp. 357-373, Tel-Aviv, Israel, October, 2022; with X. Wu et al.
184. ``SiamDoge: Domain generalizable semantic segmentation using Siamese network'', Proceedings of Seventeenth European Conference on Computer Vision (ECCV'2022), Part XXXVIII, pp. 603-620, Tel-Aviv, Israel, October, 2022; with Z. Wu et al.
185. ``A scalable training- free diffusion model for uncertainty quantification'', Workshop Proceedings of International Conference for High Performance Computing, Networking, Storage and Analysis (SC'2024), pp. 380-386, Atlanta, GA, November, 2024; with A. Rafid et al.
186. ``Frequency-aware density control via reparameterization for high-quality rendering of 3D Gaussian splatting", Proceedings of Thirty- Ninth AAAI Conference on Artificial Intelligence (AAAI'2025), 39(9), pp. 9833-9841, Philadelphia, PA, February-March, 2025; with Z. Zeng, Y. Wang and T. Guan.
187. ``IndoorGS: Geometric cues guided gaussian splatting for indoor scene reconstruction", Proceedings of Thirty-Eighth IEEE Conference on Computer Vision and Pattern Recognition (CVPR'2025), to appear, Nashville, TN, February-March, 2025. with C. Ruan and et al.

Book Chapters


188. ``Voronoi diagrams and their application to climate and global modeling'', Lecture Notes in Computational Science and Engineering, Vol. 80, Numerical Techniques for Global Atmospheric Models, pp. 313-342, Springer, 2011; with T. Ringler and M. Gunzburger.