Research at FAST

113 Department of Applied Mathematics Department of Applied Mathematics Qualification BSc (NUAA) PhD (TAMU) ORCID ID 0000-0002-3439-0313 Dr ZHOU Zhi Assistant Professor Research Areas • Finite Difference, Finite Volume, Finite Element Approximations for PDEs • Scientific Computations • Peridynamics and Nonlocal Diffusion, Fractional PDEs • Inverse Problems and Optimal Control Representative Publications • S. Chen, J. Shen, Z. Zhang, and ZZ , A spectrally accurate approximation to subdiffusion equations using the log orthogonal functions, SIAM J. Sci. Comput., 42 (2) ( 2020 ), A849-A877 • Q. Du, L. Toniazzi, and ZZ , Stochastic representation of solution to nonlocal-in-time diffusion, Stochastic Process. Appl. 10 (4) ( 2020 ), 2058-2085 • B . L i , K . Wa ng , a n d Z Z , L o ng - t i me a c c u r a t e symmetrized implicit-explicit BDF methods for a class of parabolic equations with non-selfadjoint operators, SIAM J. Numer. Anal., 58 (1) ( 2020 ), 189–210 • B. Jin, B. Li and ZZ , Numerical analysis for the subdiffusion equation with a time-dependent coefficient, Math. Comp., 88 ( 2019 ), 2157-2186 • B. Jin, B. Li and ZZ , Discrete maximal regularity of time- stepping schemes for fractional evolution equations, Numerische Mathematik, 138 (1) ( 2018 ), 101-131 • B. Jin, B. Li and ZZ , Correction of high-order BDF convolution quadrature for fractional evolution equations, SIAM J. Sci. Comput., 39 (6) ( 2018 ), A3129-A3152 • Q. Du, J. Yang and ZZ , Analysis of a nonlocal-in-time parabolic equation, Discrete Contin. Dyn. Syst. Ser. B, 22 (2) ( 2017 ) 339-368 • B. Jin, R. Lazarov, V. Thomee and ZZ , On nonnegative preservation in finite element methods for subdiffusion equations, Math. Comp., 86 (307) ( 2017 ) 2239-2270 • B. Jin, R. Lazarov and ZZ , A Petrov-Galerkin finite element method for fractional convection-diffusion equations, SIAM J. Numer. Anal., 54(1) ( 2016 ), 481–503 • B. Jin, R. Lazarov and ZZ , An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data, IMA J. Numer. Anal., 36 (1) ( 2016 ), 197-221 Award • RGC Early Career Award, 2018/2019 Mean square displacement of RNA in bacterial cytoplasm (Golding-Cox PRL 2006) Trajectories of protein molecule in plasma membrane in live cells (A. Kusumi et al 2005) Continuous time random walk simulating anomalous diffusion