研究领域

数值代数、矩阵计算及其应用、并行计算等

科研项目

科研项目

[1] 国家自然科学基金专项基金项目——数学天元基金：“面向异构多核并行机的辐射流体力学并行预条件技术”，主持。

[2] 中国石油大学（北京）科研启动基金项目：“面向异构多核并行机的辐射流体力学并行预条件技术”，主持。

[3] 国家自然科学基金项目：“适应E级计算的辐射流体力学计算方法及其应用”，参与。

Publications

[1] Lu Xin*; Liu Xingping; Gu Tongxiang; The convergence theory for the restricted version of the overlapping Schur complement preconditioner, Applied Mathematics and Computation, 2018, 339: 422-430.


[2] Wang Liqun; Zheng Hui; Lu Xin; Shi Liwei*; A Petrov-Galerkin finite element interface method for interface problems with Bloch-periodic boundary conditions and its application in phononic crystals , Journal of Computational Physics, 2019, 393: 117-138.


[3] Ling Sitao*; Jia Zhigang; Yang Bing; Lu Xin; Matrix LSQR algorithm for structured solutions to quaternionic least squares problem, Computers & Mathematics with Applications, 2019, 77(3): 830-845.


[4] Lu Xin*; Xu Shufang; Rounding errors of partial derivatives of simple eigenvalues of the quadratic eigenvalue problem, Journal of Computational and Applied Mathematics, 2015, 282: 268-277.


[5] Lu Xin* ; Xu Shu-fang; An eigenspace method for computing derivatives of semi-simpleeigenvalues and corresponding eigenvectors of quadratic eigenvalue problems, Applied Numerical Mathematics, 2015, 94: 201-208.