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 | 70 | 2021 |
Symplectic wavelet collocation method for Hamiltonian wave equations H Zhu, L Tang, S Song, Y Tang, D Wang Journal of Computational Physics 229 (7), 2550-2572, 2010 | 66 | 2010 |
Multi-symplectic wavelet collocation method for the nonlinear Schrödinger equation and the Camassa–Holm equation H Zhu, S Song, Y Tang Computer Physics Communications 182 (3), 616-627, 2011 | 64 | 2011 |
Multi-symplectic splitting method for the coupled nonlinear Schrödinger equation Y Chen, H Zhu, S Song Computer Physics Communications 181 (7), 1231-1241, 2010 | 60 | 2010 |
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 | 47 | 2022 |
Symplectic and multi-symplectic wavelet collocation methods for two-dimensional Schrödinger equations H Zhu, Y Chen, S Song, H Hu Applied Numerical Mathematics 61 (3), 308-321, 2011 | 42 | 2011 |
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 | 41 | 2020 |
High-order linearly implicit structure-preserving exponential integrators for the nonlinear Schrödinger equation C Jiang, J Cui, X Qian, S Song Journal of Scientific Computing 90 (1), 66, 2022 | 37 | 2022 |
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 | 37 | 2021 |
A semi-explicit multi-symplectic splitting scheme for a 3-coupled nonlinear Schrödinger equation X Qian, S Song, Y Chen Computer Physics Communications 185 (4), 1255-1264, 2014 | 35 | 2014 |
The multi-symplectic Fourier pseudospectral method for solving two-dimensional Hamiltonian PDEs Y Chen, S Song, H Zhu Journal of Computational and Applied Mathematics 236 (6), 1354-1369, 2011 | 35 | 2011 |
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 | 34 | 2022 |
Conjugate heat transfer investigations of turbine vane based on transition models H Zhang, Z Zou, Y Li, J Ye, S Song Chinese Journal of Aeronautics 26 (4), 890-897, 2013 | 34 | 2013 |
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 | 33 | 2020 |
Explicit multi-symplectic method for the Zakharov—Kuznetsov equation X Qian, SH Song, E Gao, WB Li Chinese Physics B 21 (7), 070206, 2012 | 31 | 2012 |
Projection methods for stochastic differential equations with conserved quantities W Zhou, L Zhang, J Hong, S Song BIT Numerical Mathematics 56, 1497-1518, 2016 | 28 | 2016 |
Multi-symplectic methods for the Ito-type coupled KdV equation Y Chen, S Song, H Zhu Applied Mathematics and Computation 218 (9), 5552-5561, 2012 | 27 | 2012 |
Multi-symplectic wavelet collocation method for Maxwell’s equations H Zhu, S Song, Y Chen Advances in Applied Mathematics and Mechanics 3 (6), 663-688, 2011 | 26 | 2011 |
Stochastic symplectic Runge–Kutta methods for the strong approximation of Hamiltonian systems with additive noise W Zhou, J Zhang, J Hong, S Song Journal of Computational and Applied Mathematics 325, 134-148, 2017 | 25 | 2017 |
Multi-symplectic splitting method for two-dimensional nonlinear Schrödinger equation YM Chen, HJ Zhu, SH Song Communications in Theoretical Physics 56 (4), 617, 2011 | 22 | 2011 |