Publications

Preprint

1. Filtered Lie-Trotter splitting for the "good" Boussinesq equation: low regularity estimates ( with Lun Ji, Hang Li and Alexander Ostermann).
2. Stable BDF time discretization of BGN-based parametric finite element methods for geometric flows ( with Wei Jiang and Ganghui Zhang).
3. A second-order in time, BGN-based parametric finite element method for geometric flows of curves ( with Wei Jiang and Ganghui Zhang).

Published

1. Low-regularity exponential-type integrators for the Zakharov system with rough data in all dimensions (with Hang Li)，Math. Comp. , https://doi.org/10.1090/mcom/3973, 2024.
2. Scattering and uniform in time error estimates for splitting method in NLS (with Remi Carles), Found. Comput. Math., Vol. 24, pp. 683--722, 2024.
3. Uniform error bounds of a conservative compact finite difference method for the quantum Zakharov system in the subsonic limit regime (with Gengen Zhang), J. Comput. Math., Vol. 42 (1), pp. 289--312, 2024.
4. A convexity-preserving and perimeter-decreasing parametric finite element method for the area-preserving curve shortening flow (with Wei Jiang and Ganghui Zhang), SIAM J. Numer. Anal., Vol. 61 (4), pp. 1989--2010, 2023.
5. A semi-discrete first-order low regularity exponential integrator for the good Boussinesq equation without loss of regularity (with Hang Li), J. Sci. Comput., Vol. 95 (3): 74, 2023.
6. Low regularity exponential-type integrators for the good Boussinesq equation (with Hang Li), IMA J. Numer. Anal., Vol. 43, pp. 3656--3684, 2023.
7. Numerical study of the logarithmic Schrodinger equation with repulsive harmonic potential (with Remi Carles), DCDS-B, Vol. 28 (5), pp. 3136--3159, 2023.
8. Various variational approximations of quantum dynamics (with Caroline Lasser), J. Math. Phys., Vol. 63, pp. 072107, 2022.
9. Nonuniqueness and nonlinear instability of Gaussons under repulsive harmonic potential (with Remi Carles), Commun. Partial Differential Equations, Vol. 47, pp. 1176--1192, 2022.
10. Uniform error bounds of a time-splitting spectral method for the long-time dynamics of the nonlinear Klein-Gordon equation with weak nonlinearity (with Weizhu Bao and Yue Feng), Math. Comp., Vol. 91, pp. 811--842, 2022.
11. Error Estimates of Local Energy Regularization for the Logarithmic Schrödinger Equation (with Weizhu Bao, Remi Carles and Qinglin Tang), Math. Models Methods Appl. Sci., Vol. 32, pp. 101--136, 2022.
12. A Conservative Linearly-Implicit Compact Difference Scheme for the Quantum Zakharov System (with Gengen Zhang), J. Sci. Comput., Vol. 87, article. 71, 2021.
13. An exponential integrator sine pseudospectral method for the generalized improved Boussinesq equation (with Gulcin M.Muslu), BIT Numer. Math., Vol. 61, pp. 1397--1419, 2021.
14. A uniformly first-order accurate method for Klein-Gordon-Zakharov system in simultaneous high-plasma-frequency and subsonic limit regime (with Xiaofei Zhao), J. Comp. Phys., Vol. 428, article. 110064, 2021.
15. A Deuflhard-type exponential integrator Fourier pseudo-spectral method for the "good" Boussinesq Equation(with Wenqi Yao), J. Sci. Comp., Vol. 83, article. 4, 2020.
16. On time-splitting methods for nonlinear Schrodinger equation with highly oscillatory potential (with Xiaofei Zhao), ESAIM: Math. Model. Numer. Anal., Vol. 54, pp. 1491--1508, 2020.
17. A Lawson-type exponential integrator for the Korteweg-de Vries equation (with Alexander Ostermann), IMA J. Numer. Anal., Vol. 40, pp. 2399--2414, 2020.
18. Two exponential-type integrators for the "good" Boussinesq equation (with Alexander Ostermann), Numer. Math., Vol. 143, pp. 683--712, 2019.
19. Regularized numerical methods for the logarithmic Schrödinger equation (with Weizhu Bao Remi Carles and Qinglin Tang), Numer. Math., Vol. 143, pp. 461--487, 2019.
20. Error estimates of a regularized finite difference method for the logarithmic Schrodinger equation (with Weizhu Bao Remi Carles and Qinglin Tang), SIAM J. Numer. Anal., Vol. 57, pp. 657--680, 2019.
21. Optimal resolution methods for the Klein-Gordon-Dirac system in the nonrelativistic limit regime (with Wenfan Yi and Xinran Ruan), J. Sci. Comp., Vol. 79, pp. 1907--1935, 2019.
22. A uniformly and optimally accurate multiscale time integrator method for the Klein-Gordon-Zakharov system in the subsonic limit regime (with Ying Ma), Computers Math. Appl., Vol. 76, pp. 602--619, 2018.
23. Uniform error estimates of a finite difference method for the Klein-Gordon-Schrodinger system in the nonrelativistic and massless limit regimes (with Weizhu Bao), Kinetic and Related Models, Vol. 11, pp. 1037--1062, 2018.
24. A uniformly and optimally accurate method for the Zakharov system in the subsonic limit regime (with Weizhu Bao), SIAM J. Sci. Comput., Vol. 40, pp. A929--A953, 2018.
25. Uniform error bounds of a finite difference method for the Klein-Gordon- Zakharov system in the subsonic limit regime (with Weizhu Bao), Math. Comp., Vol. 87, pp. 2133--2158, 2018.
26. Error estimates of a finite difference method for the Klein-Gordon-Zakharov system in the subsonic limit regime (with Wenfan Yi), IMA J. Numer. Anal., Vol. 38, pp.2055--2073, 2018.
27. A meshing strategy for a quadratic iso-parametric FEM in cavitation computation in nonlinear elasticity (with Zhiping Li), J. Comp. Appl. Math., Vol. 330, pp. 630--647, 2018.
28. Comparison of numerical methods for the Zakharov system in the subsonic limit regime J. Comp. Appl. Math., Vol. 330, pp. 441--455, 2018.
29. Orientation-preservation conditions on an iso-parametric EFM in cavitation computation (with Zhiping Li), Sci. China Math., Vol. 60, pp. 719 -- 734, 2017.
30. Uniform error bounds of a finite difference method for the Zakharov system in the subsonic limit regime via an asymptotic consistent formulation (with Weizhu Bao), SIAM Multiscale Model. Simul., Vol. 15, pp. 977--1002, 2017.
31. Error analysis of a dual-parametric bi-quadratic FEM in cavitation computation in elasticity (with Zhiping Li), SIAM J. Numer. Anal., Vol. 53, pp. 1629--1649, 2015.