Fast evaluation of the Caputo fractional derivative and its applications to fractional diffusion equations S Jiang, J Zhang, Q Zhang, Z Zhang Communications in Computational Physics 21 (3), 650-678, 2017 | 419 | 2017 |
Sharp error estimate of the nonuniform L1 formula for linear reaction-subdiffusion equations H Liao, D Li, J Zhang SIAM Journal on Numerical Analysis 56 (2), 1112-1133, 2018 | 375 | 2018 |
A discrete Gronwall inequality with applications to numerical schemes for subdiffusion problems H Liao, W McLean, J Zhang SIAM Journal on Numerical Analysis 57 (1), 218-237, 2019 | 276 | 2019 |
Analysis of -Galerkin FEMs for time-fractional nonlinear parabolic problems D Li, HL Liao, W Sun, J Wang, J Zhang arXiv preprint arXiv:1612.00562, 2016 | 205 | 2016 |
Unconditionally Convergent -Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations D Li, J Wang, J Zhang SIAM Journal on Scientific Computing 39 (6), A3067-A3088, 2017 | 165 | 2017 |
Fast evaluation of the Caputo fractional derivative and its applications to fractional diffusion equations: a second-order scheme Y Yan, ZZ Sun, J Zhang Communications in Computational Physics 22 (4), 1028-1048, 2017 | 147 | 2017 |
A second-order scheme with nonuniform time steps for a linear reaction-sudiffusion problem HL Liao, W McLean, J Zhang arXiv preprint arXiv:1803.09873, 2018 | 111 | 2018 |
Unconditionally optimal error estimates of a linearized Galerkin method for nonlinear time fractional reaction–subdiffusion equations D Li, J Zhang, Z Zhang Journal of Scientific Computing 76 (2), 848-866, 2018 | 95 | 2018 |
Unconditional convergence of a fast two-level linearized algorithm for semilinear subdiffusion equations H Liao, Y Yan, J Zhang Journal of Scientific Computing 80, 1-25, 2019 | 90 | 2019 |
Sharp H1-norm error estimates of two time-stepping schemes for reaction–subdiffusion problems J Ren, H Liao, J Zhang, Z Zhang Journal of Computational and Applied Mathematics 389, 113352, 2021 | 68 | 2021 |
Unified approach to split absorbing boundary conditions for nonlinear Schrödinger equations J Zhang, Z Xu, X Wu Physical Review E 78 (2), 026709, 2008 | 61 | 2008 |
Efficient implementation to numerically solve the nonlinear time fractional parabolic problems on unbounded spatial domain D Li, J Zhang Journal of Computational physics 322, 415-428, 2016 | 59 | 2016 |
Unified approach to split absorbing boundary conditions for nonlinear Schrödinger equations: Two-dimensional case J Zhang, Z Xu, X Wu Physical Review E 79 (4), 046711, 2009 | 57 | 2009 |
Numerical solution of a two-dimensional nonlocal wave equation on unbounded domains Q Du, H Han, J Zhang, C Zheng SIAM Journal on Scientific Computing 40 (3), A1430-A1445, 2018 | 46 | 2018 |
Numerical solution to a linearized time fractional KdV equation on unbounded domains Q Zhang, J Zhang, S Jiang, Z Zhang Mathematics of Computation 87 (310), 693-719, 2018 | 44 | 2018 |
An accurate and efficient algorithm for the time-fractional molecular beam epitaxy model with slope selection L Chen, J Zhang, J Zhao, W Cao, H Wang, J Zhang Computer Physics Communications 245, 106842, 2019 | 39 | 2019 |
Unified gas-kinetic wave-particle methods III: Multiscale photon transport W Li, C Liu, Y Zhu, J Zhang, K Xu Journal of Computational Physics 408, 109280, 2020 | 37 | 2020 |
Artificial boundary conditions for nonlocal heat equations on unbounded domain W Zhang, J Yang, J Zhang, Q Du Communications in Computational Physics 21 (1), 16-39, 2017 | 37 | 2017 |
High-order local absorbing boundary conditions for heat equation in unbounded domains X Wu, J Zhang Journal of Computational Mathematics, 74-90, 2011 | 37 | 2011 |
Nonlocal wave propagation in unbounded multi-scale media Q Du, J Zhang, C Zheng Communications in Computational Physics 24 (4), 2018 | 32 | 2018 |