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 | 386 | 2018 |
Finite difference methods for the time fractional diffusion equation on non-uniform meshes Y Zhang, Z Sun, H Liao Journal of Computational Physics 265, 195-210, 2014 | 292 | 2014 |
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 | 287 | 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 | 211 | 2016 |
Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations HL Liao, ZZ Sun Numerical Methods for Partial Differential Equations: An International …, 2010 | 193 | 2010 |
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations H Liao, T Tang, T Zhou Journal of Computational Physics 414, 109473, 2020 | 133 | 2020 |
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 | 120 | 2018 |
Error estimate of fourth-order compact scheme for linear Schrödinger equations H Liao, Z Sun, H Shi SIAM Journal on Numerical Analysis 47 (6), 4381-4401, 2010 | 110 | 2010 |
Analysis of adaptive BDF2 scheme for diffusion equations H Liao, Z Zhang Mathematics of Computation 90 (329), 1207-1226, 2021 | 95 | 2021 |
On energy stable, maximum-principle preserving, second-order BDF scheme with variable steps for the Allen--Cahn equation H Liao, T Tang, T Zhou SIAM Journal on Numerical Analysis 58 (4), 2294-2314, 2020 | 94 | 2020 |
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 | 92 | 2019 |
An adaptive BDF2 implicit time-stepping method for the phase field crystal model H Liao, B Ji, L Zhang IMA Journal of Numerical Analysis 42 (1), 649-679, 2022 | 72 | 2022 |
Unconditional stability of corrected explicit-implicit domain decomposition algorithms for parallel approximation of heat equations HS Shi, HL Liao SIAM journal on numerical analysis 44 (4), 1584-1611, 2006 | 71 | 2006 |
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 | 70 | 2021 |
Adaptive second-order Crank--Nicolson time-stepping schemes for time-fractional molecular beam epitaxial growth models B Ji, H Liao, Y Gong, L Zhang SIAM Journal on Scientific Computing 42 (3), B738-B760, 2020 | 68 | 2020 |
An energy stable and maximum bound preserving scheme with variable time steps for time fractional Allen--Cahn equation H Liao, T Tang, T Zhou SIAM Journal on Scientific Computing 43 (5), A3503-A3526, 2021 | 57 | 2021 |
Analysis of the second-order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection HL Liao, X Song, T Tang, T Zhou Science China Mathematics 64, 887-902, 2021 | 47 | 2021 |
Simple maximum principle preserving time-stepping methods for time-fractional Allen-Cahn equation B Ji, H Liao, L Zhang Advances in Computational Mathematics 46, 1-24, 2020 | 39 | 2020 |
Mesh-robustness of an energy stable BDF2 scheme with variable steps for the Cahn–Hilliard model H Liao, B Ji, L Wang, Z Zhang Journal of Scientific Computing 92 (2), 52, 2022 | 36 | 2022 |
Maximum norm error estimates of efficient difference schemes for second-order wave equations H Liao, Z Sun Journal of computational and applied mathematics 235 (8), 2217-2233, 2011 | 33 | 2011 |