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Second-order maximum principle preserving Strang's splitting schemes for anisotropic fractional Allen-Cahn equations Journal article
Numerical Algorithms, 2022
Authors:  Chen, H.;  Sun, H. W.
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Fractional Allen-cahn Equation  Discrete Maximum Principle  Operator Splitting Method  Matrix Exponential  Toeplitz Matrix  
A novel discrete fractional Gronwall-type inequality and its application in pointwise-in-time error estimates Journal article
Journal of Scientific Computing, 2022,Page: 1-27
Authors:  Li, D. F.;  She, M.F.;  Sun, H. W.;  Yan, X.Q.
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Nonlinear time-fractional equations  High-order time-stepping methods  Modified Grönwall inequality  Pointwise-in-time error estimates  
An unconditionally positivity-preserving implicit–explicit scheme for evolutionary stable distribution model Journal article
Journal of Computational and Applied Mathematics, 2022,Page: 113883-113883
Authors:  Zhang, C.H.;  Chen, G.Z.;  Fang, Z.W.;  Lin, X.L.;  Sun, H. W.
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Evolutionary stable distribution  Implicit–explicit scheme  Positivity-preserving  Entropy dissipation  
A novel $L1$ method for solving the multi-term time-fractional diffusion problem Journal article
Mathematics and Computers in Simulation, 2022,Page: 584-606
Authors:  She, M. F.;  Li, D. F.;  Sun, H. W.
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Multi-term time-fractional equation  Modified L1 scheme  Chebyshev–Galerkin spectral method  Error estimates  
A fast finite volume method for spatial fractional diffusion equations on nonuniform meshes Journal article
Computers and Mathematics with Applications, 2022,Page: 175-184
Authors:  Fang, Z. W.;  Zhang, J.L.;  Sun, H. W.
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Spatial fractional diffusion equations  Finite volume method  Sum-of-exponentials technique  Fast algorithm Banded preconditioner  
Accelerating precision anti-cancer therapy by time-lapse and label-free 3D tumor slice culture platform Journal article
Theranostics, 2021,Page: 9415-9430
Authors:  Xing, F.;  Huang, S.;  Liu, Y.-C.;  Lyu, X.;  Su, S. M.;  Chan, U. I.;  Wu, P.-C.;  Yan, Y.;  Ai, N.;  Li, J.;  Zhao, M.;  Rajendran, B.;  Liu, J.;  Shao, F.;  Sun, H.;  Luo, G.;  Zhu, W.;  Miao, K.;  Zhao, Q.;  Luo, KQ.;  Ge, W.;  Xu, X.;  Wang, G.;  Liu, T.-M.;  Deng, C.-X.
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Tumor Organoid  Lipofuscin  Two-photon Fluorescence Microscopy  
Integrated computer-aided formulation design: A case study of andrographolide/ cyclodextrin ternary formulation Journal article
Asian Journal of Pharmaceutical Sciences, 2021,Page: XXX-XXX
Authors:  Gao, H.;  Su, Y;  Wang, W.;  Xiong, W.;  Sun, X.;  Ji, Y.;  Yu, H.;  Li, H.-F.;  Ouyang, D.
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computer-aided  formulation design  andrographolide/cyclodextrin  
A SPATIALLY SIXTH-ORDER HYBRID L1-CCD METHOD FOR SOLVING TIME FRACTIONAL SCHRÖDINGER EQUATIONS Journal article
APPLICATIONS OF MATHEMATICS, 2021,Page: 213-232
Authors:  Zhang, C. H.;  Jin, J. W.;  Sun, H. W.;  Sheng, Q.
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Nonlinear Time Fractional Schrödinger Equations  L1 Formula  Hybrid Compact Difference Method  Linearization  Unconditional Stability  
Aqueous production of secondary organic aerosol from fossil-fuel emissions in winter Beijing haze Journal article
Proceedings of the National Academy of Sciences, 2021,Page: In press-000
Authors:  Wang, J.;  Ye, J.;  Zhang, Q.;  Zhao, J.;  Wu, Y.;  Li, J.;  Liu, D.;  Li, W.;  Zhang, Y.;  Wu, C.;  Xie, C.;  Qin, Y.;  Lei, Y.;  Huang, X.;  Guo, J.;  Liu, P.;  Fu, P.;  Li, Y.J.;  Lee, H.C.;  Choi, H.;  Zhang, J.;  Liao, H.;  Chen, M.;  Sun, Y.;  Ge, X.;  Martin, S.T.;  Jacob, D.J.
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Aqueous phase  SOA  haze  
Fast implicit difference schemes for time-space fractional diffusion Journal article
Mathematical Methods in the Applied Sciences, 2021,Page: 441-463
Authors:  Gu, X.M.;  Sun, H. W.;  Zhang, Y.Z.;  Zhao, Y.L.
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Fractional diffusion equations  Caputo derivative  Integral fractional Laplacian  Circulant preconditioner  Krylov subspace solvers.