Publications
Publications
13. G. Bal and C. Wang, Optimal error bounds on the exponential integrator for dispersive equations with highly concentrated potential, 2026. [arXiv]
12. W. Bao and C. Wang, Error estimates of an exponential wave integrator for the nonlinear Schrödinger equation with singular potential, 2025. [arXiv]
11. W. Bao, Y. Ma and C. Wang, Optimal error bounds on an exponential wave integrator Fourier spectral method for the logarithmic Schrödinger equation, IMA J. Numer. Anal., to appear. [arXiv]
10. Z. Feng, Q. Tang and C. Wang, On the discrete normalized gradient flow for computing ground states of
rotating Bose-Einstein condensates: energy dissipation and global convergence, IMA J. Numer. Anal., draft 100 (2025). [article]
9. Y. Feng, G. Maierhofer and C. Wang, Explicit symmetric low-regularity integrators for the nonlinear Schrödinger equation, SIAM J. Sci. Comput., Vol. 47 (2025), pp. A2154-A2179. [arXiv]
8. W. Liu, C. Wang and X. Zhao, On action ground states of defocusing nonlinear Schrödinger equations, Math. Models Methods Appl. Sci., Vol. 35 (2025), pp. 39-74. [article] [arXiv]
7. B. Lin, Y. Ma and C. Wang, A Lawson-time-splitting extended Fourier pseudospectral method for the Gross-Pitaevskii equation with time-dependent low regularity potential, J. Comput. Phys., Vol. 512 (2024), p. 113133. [article] [arXiv]
6. W. Bao and C. Wang, An explicit and symmetric exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity, SIAM J. Numer. Anal., Vol. 62 (2024), pp. 1901-1928. [article] [arXiv]
5. W. Bao, B. Lin, Y. Ma and C. Wang, An extended Fourier pseudospectral method for the Gross-Pitaevskii equation with low regularity potential, East Asian J. Appl. Math., Vol. 14 (2024), pp. 530-550. [article] [arXiv]
4. W. Bao, Y. Ma and C. Wang, Optimal error bounds on time-splitting methods for the nonlinear Schrödinger equation with low regularity potential and nonlinearity, Math. Models Methods Appl. Sci., Vol. 34 (2024), pp. 803-844. [article] [arXiv]
selected in M3AS 35th Anniversary Virtual Issue as one of 18 papers published between 2019-2024 in M3AS.
3. W. Bao and C. Wang, Optimal error bounds on the exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity, SIAM J. Numer. Anal., Vol. 62 (2024), pp. 93-118. [article] [arXiv]
2. W. Bao and C. Wang, Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity, Math. Comp., Vol. 93 (2024), pp. 1599-1631. [article] [arXiv]
1. C. Wang, Computing the least action ground state of the nonlinear Schrödinger equation by a normalized gradient flow, J. Comput. Phys., Vol. 471 (2022), p. 111675. [article] [arXiv]