研究团队

唐庆粦（1986--），男，四川大学数学学院教授、博士生导师。研究领域是计算数学。主要从事量子物理学中的数学模型的计算方法及理论分析方面的研究，研究的数学模型为薛定谔方程和狄拉克方程。这一方向的问题广泛来源于诸如玻色爱因斯坦凝聚态、超导超流体以及低维材料等物理领域。

2008年获北京师范大学应用数学学士学位，2013年获新加坡国立大学计算数学博士学位。毕业之后先后赴阿卜杜拉国王科技大学、维也纳大学、洛林大学和香港中文大学从事博士后研究。2018年入选国家“千人计划”（青年项目），2019年入选四川省“千人计划”（青年项目）。

一、主持项目

1.国家千人计划青年项目。

二、学术论文

1.Numerical methods and comparisons for computing dark and bright solitons in nonlinear Schrodinger equation (with Weizhu Bao and Zhiguo Xu), Journal of Computational Physics, Vol. 235, pp. 423~445, 2013；

2.Numerical study of quantized vortex interaction in the Ginzburg~Landau equation on bounded domains (with Weizhu Bao), Communications in Computational Physics, Vol. 14, pp. 819~850, 2013；
3.A simple and efficient numerical method for computing the dynamics of rotating Bose~Einstein condensates via rotating Lagrangian coordinates (with Weizhu Bao, Daniel Marahrens and Yanzhi Zhang, SIAM Journal on Scientific Computing, Vol. 35, pp. A2671~A2695, 2013；

 4.Numerical study of quantized vortex interaction in complex Ginzburg~Landau equation on bounded domains (with Wei Jiang), Applied Mathematics and Computation, Vol. 222, pp. 210~230, 2013；

5.An efficient spectral method for computing the dynamics of rotating two~component Bose-Einstein condensates via coordinate transformation (with Ming Ju and Yanzhi Zhang), Journal of Computational Physics, Vol. 258, pp. 538~554,2014；

6.A variational~difference numerical method for designing progressive~addition lenses (with Weizhu Bao, Wei Jiang and Hanquan Wang), Computer~Aided Design, Vol. 48, pp. 17-27, 2014；

7.Numerical study of quantized vortex interaction in the nonlinear Schrodinger equation on bounded domains (with Weizhu Bao), Multiscale Modeling and Simulation: a SIAM Interdisciplinary Journal, Vol. 12, pp. 411~439, 2014.；

8.Computing the ground state and dynamics of the nonlinear Schrodinger equation with nonlocal interactions via the nonuniform FFT (with Weizhu Bao, Shidong Jiang and Yong Zhang), Journal of Computational Physics, Vol. 296, pp. 72~89, 2015；

9.Accurate and efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates via the nonuniform FFT (with Weizhu Bao and Yong Zhang), Communications in Computational Physics, Vol. 19, pp. 1141~1166, 2016；

10.A uniformly accurate multiscale time integrator pseudospectral method for the Dirac equation in the nonrelativistic limit regime (with Weizhu Bao, Yongyong Cai and Xiaowei Jia), SIAM Journal on Numerical Analysis, Vol. 54, pp. 1785~1812, 2016；

11.On the ground states and dynamics of space fractional nonlinear Schrodinger/Gross-Pitaevskii equations with rotation term and nonlocal nonlinear interactions (with Xavier Antoine and Yong Zhang), Journal of Computational Physics, Vol. 325, pp. 74~97, 2016；

12.Efficient spectral computation of the stationary states of rotating Bose-Einstein condensates by preconditioned nonlinear conjugate gradient methods (with Xavier Antoine and Antoine Levitt), Journal of Computational Physics,? Vol. 343, pp. 92~109, 2017；

13.Numerical methods and comparison for the Dirac equation in the nonrelativistic limit regime (with Weizhu Bao, Yongyong Cai and Xiaowei Jia), Journal of Scientific Computing, Vol. 71, pp. 1094~1134, 2017；

14.A friendly review of absorbing boundary conditions and perfectly matched layers for classical and relativistic quantum waves equations (with Xavier Antoine and Emmanuel Lorin), Molecular Physics, Vol. 115, Issue 15-16, pp. 1861~1879, 2017；

15.A robust and efficient numerical method to compute the dynamics of the rotating two-component dipolar Bose-Einstein condensates (with Norbert J. Mauser and Yong Zhang), Computer Physics Communications, Vol. 219, pp. 223~235,2017；

16.On the numerical solution and dynamical laws of nonlinear fractional Schrodinger/Gross-Pitaevskii equations (with Xavier Antonie and Jiwei Zhang), International Journal of Computer Mathematics, Taylor & Francis, Vol. 95, Issue 6-7, 1423~1443, 2018；

17.A preconditioned conjugated gradient method for computing ground states of rotating dipolar Bose-Einstein condensates via Kernel Truncation method for dipole-dipole interaction evaluation} ( Xavier Antoine, Qinglin Tang and Yong Zhang), Communications in Computational Physics, Vol. 24, No. 4, pp. 966~988, 2018；

18.The numerical study of the ground states of spin-1 Bose-Einstein condensates with spin-orbit-coupling} (with Yongjun Yuan, Zhiguo Xu and Hanquan Wang), East Asian Journal on Applied Mathematics, Vol. 8, No. 3, pp. 598-610, 2018；

19.Error estimates of a regularized finite difference method for the logarithmic Schrodinger equation} ( Weizhu Bao, Remi Carles, Chunmei Su and Qinglin Tang), SIAM Journal on Numerical Analysis, Vol. 57, No. 2, pp. 657~680, 2019；

20.Reguarized numerical methods for the logarithmic Schrodinger equation (Weizhu Bao, Remi Carles, Chunmei Su, and Qinglin?Tang, Numerische Mathematik, Vol. 143, pp. 461~487, 2019；

21.Collective synchronization of the multi-component Gross-Pitaevskii-Lohe system (with Weizhu Bao, Seung-Yeal Ha and Dohyun Kim), Physica D: Nonlinear Phenomena, Vol. 400, pp. 132-158, 2019；