Scientific research achievements

☆ Bai Jiejiang,Li chun,Liu Xiaoyan, Weak multi-symplectic reformulation and geometric numerical integration for the nonlinear Schrödinger equations with delta potentials IMA J. Numer. Anal., 2017, 00,1-31
☆ Dong Qiao-Li, He Songnian, Liu Xiaoyan, Rate of convergence of Mann, Ishikawa and Noor iterations for continuous functions on an arbitrary intervals, Journal of Inequalities and Applications ,2013:269, 2013
☆ Hong Jialin, Liu Xiaoyan and Li Chun Multi-symplectic Runge-Kutta-Nyström Methods for Nonlinear Schrödinger Equations with Variable Coefficients, Journal of Computational Physics, 22-JUN-2007
☆ Qi Yueying, Liu Xueshen and Liu Xiaoyan Ionization of 1-D model atom in an intense laser field based on asymptotic boundary conditions and symplectic algorithm J.Mathematics Chemistry 2006
☆ Xiaoyan Liu , Peizhu Ding, Jialin Hong, Lijin Wang, Optimization of Explicit Symplectic Schemes for Time-Dependent Schrödinger Equations , Computers & mathematics with application, 50(2005) 637-644. （SCI）
☆ Xiaoyan Liu, Guiqin Li, Xueshen Liu, Yingkui, Mu Yi Wang, Peizhu Ding, Gauss Numerical Inversion for Use in Computing the Radiation Field from a Cylindrically-Symmetric Radiation Source, Radiation Chemistry and Physics, 61(2),2001,93-98. (SCI)
☆ Xueshen Liu, Xiaoyan Liu, Zhongyuan Zhou, Peizhu Ding, and Shoufu Pan, Numerical Solution of One-dimensional Time-independent Schrödinger Equation by Using Symplectic Schemes, International Journal of Quantum Chemistry, 79(6), 2000,343-349. (SCI)
☆ Gao Yiming, Liu Xiaoyan, Some New Criteria for Generalized Diagonally Dominant Matrices and M-matrices, Intern. J. Computer Math. (75)2000, 271-282. (SCI)
☆ V.M.Perez-Carcia, Xiaoyan Liu, Numerical methods for the simulation of trapped nonlinear Schrödinger systems, Applied Mathematics. and Computation 144(2003)215-235 (SCI)
☆ Xueshen Liu, Li-wei Su, Xiaoyan Liu, Peizhu Ding, Numerical Solution of Two-dimensional Time-independent Schrödinger Equation by Using Symplectic Schemes, International Journal of Quantum Chemistry, 83(5), 2001,303-309. (SCI)
☆ 刘学深，刘晓艳，杨玉军，丁培柱，朱颀人，辛格式在强激光场一维模型问题计算中的应用，强激光与粒子束，14(1), 2002, 21-25.(EI)
☆ 刘晓艳，刘学深，周忠源，丁培柱，1维强场模型研究中的非齐线性正则方程的辛算法，计算物理，Vol 19(1), 2002, 62-66. (EI)
☆ 祁月盈，刘晓艳，丁培柱，强激光场中一维原子的渐近边界条件，计算物理，20（5），2003，377-380。(EI)
☆ 刘晓艳，刘学深，丁培柱，时间相关外场中量子系统的辛算法, 计算物理，Vol 20(2), 2003, 127-129 (EI)
☆ 刘晓艳，刘学深，杨玉军, 丁培柱，应用辛算法计算强激光场中的一维氢原子,原子核物理评论, 19(Supp.)，2002, 134-137.
☆ 刘晓艳，刘学深，周忠源, 丁培柱，按模方守恒优化量子系统的显式辛格式，山东师大学报，15(3), 2000, 263-264.
☆ 刘学深，刘晓艳，丁培柱，应用辛格式求解１维定态Schrödinger方程，原子与分子物理学报，17(3),2000, 553-555.
☆ 高益明，邵新惠，刘晓艳, 论几类广义对角占优阵, 高校计算数学学报 Vol.20.No.4 (1998).
☆ Xueshen Liu, Xiaoyan Liu, Peizhu Ding, Symplectic Scheme In the Calculation of 1-Dimensional Model of Strong Field, Chinese Science Abstracts, 6(8), 2000, 994-995.
☆ 刘学深，刘晓艳，丁培柱，一个1维强场问题计算中的辛格式，山东师大学报，15(3), 2000,231-233.
☆ 刘学深，祁月盈，刘晓艳，丁培柱，周忠源， 强场物理中定态Schrödinger方程的辛算法，原子核物理评论, 19(Supp.)，2002, 137-147.
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