| Numerical analysis and applications of explicit high order maximum principle preserving integrating factor Runge-Kutta schemes for Allen-Cahn equation H Zhang, J Yan, X Qian, S Song Applied Numerical Mathematics 161, 372-390, 2021 | 53 | 2021 |
| Novel high-order energy-preserving diagonally implicit Runge–Kutta schemes for nonlinear Hamiltonian ODEs H Zhang, X Qian, S Song Applied Mathematics Letters 102, 106091, 2020 | 36 | 2020 |
| A numerical study of two-phase flow models with dynamic capillary pressure and hysteresis H Zhang, PA Zegeling Transport in Porous Media 116, 825-846, 2017 | 34 | 2017 |
| On the preserving of the maximum principle and energy stability of high-order implicit-explicit Runge-Kutta schemes for the space-fractional Allen-Cahn equation H Zhang, J Yan, X Qian, X Gu, S Song Numerical Algorithms 88, 1309-1336, 2021 | 27 | 2021 |
| Highly efficient invariant-conserving explicit Runge-Kutta schemes for nonlinear Hamiltonian differential equations H Zhang, X Qian, J Yan, S Song Journal of Computational Physics 418, 109598, 2020 | 27 | 2020 |
| Explicit third-order unconditionally structure-preserving schemes for conservative Allen–Cahn equations H Zhang, J Yan, X Qian, X Chen, S Song Journal of Scientific Computing 90, 1-29, 2022 | 25 | 2022 |
| Average vector field methods for the coupled Schrödinger—KdV equations H Zhang, SH Song, XD Chen, WE Zhou Chinese Physics B 23 (7), 070208, 2014 | 20 | 2014 |
| Up to fourth-order unconditionally structure-preserving parametric single-step methods for semilinear parabolic equations H Zhang, J Yan, X Qian, S Song Computer Methods in Applied Mechanics and Engineering 393, 114817, 2022 | 16 | 2022 |
| Hamiltonian boundary value method for the nonlinear Schrödinger equation and the Korteweg-de Vries equation M Song, X Qian, H Zhang, S Song Advances in Applied Mathematics and Mechanics 9 (4), 868-886, 2017 | 13 | 2017 |
| Multi-symplectic method for the coupled Schrödinger—KdV equations H Zhang, SH Song, WE Zhou, XD Chen Chinese Physics B 23 (8), 080204, 2014 | 12 | 2014 |
| A moving mesh finite difference method for non-monotone solutions of non-equilibrium equations in porous media H Zhang, PA Zegeling Communications in Computational Physics 22 (4), 935-964, 2017 | 11 | 2017 |
| High-order maximum-principle-preserving and positivity-preserving weighted compact nonlinear schemes for hyperbolic conservation laws L Tang, S Song, H Zhang Applied Mathematics and Mechanics 41 (1), 173-192, 2020 | 10 | 2020 |
| Numerical investigations of two-phase flow with dynamic capillary pressure in porous media via a moving mesh method H Zhang, PA Zegeling Journal of Computational Physics 345, 510-527, 2017 | 9 | 2017 |
| Unconditionally maximum-principle-preserving parametric integrating factor two-step Runge–Kutta schemes for parabolic Sine-Gordon equations H Zhang, X Qian, J Xia, S Song CSIAM Trans. Appl. Math 4 (1), 177-224, 2023 | 8 | 2023 |
| Two kinds of new energy-preserving schemes for the coupled nonlinear Schrödinger equations M Song, X Qian, H Zhang, J Xia, S Song Commun. Comput. Phys. 25 (4), 1127-1143, 2019 | 8 | 2019 |
| A maximum-principle-preserving third order finite volume SWENO scheme on unstructured triangular meshes Y Guo, L Tang, H Zhang, S Song Adv. Appl. Math. Mech 10, 114-137, 2018 | 6 | 2018 |
| Third-order accurate, large time-stepping and maximum-principle-preserving schemes for the Allen-Cahn equation H Zhang, X Qian, S Song Numerical Algorithms 95 (3), 1213-1250, 2024 | 5 | 2024 |
| Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions H Zhang, X Qian, J Xia, S Song ESAIM: Mathematical Modelling and Numerical Analysis 57 (3), 1619-1655, 2023 | 5 | 2023 |
| Temporal high-order, unconditionally maximum-principle-preserving integrating factor multi-step methods for Allen-Cahn-type parabolic equations H Zhang, J Yan, X Qian, S Song Applied Numerical Mathematics 186, 19-40, 2023 | 5 | 2023 |
| Novel energy dissipative method on the adaptive spatial discretization for the Allen–Cahn equation JW Sun, X Qian, H Zhang, SH Song Chinese Physics B 30 (7), 070201, 2021 | 5 | 2021 |
Songhe SongDepartment of Mathematics, National University of Defense TechnologyVerified email at nudt.edu.cn
