李良

研究方向/ research direction： Numerical Linear Algebra、Numerical Solution of Partial Differential Equations、Computational Electromagnetics / Nanophotonics

獲獎情況（Awards）

（排名3）

2008年獲四川省科技進步二等獎（排名5）

2015年獲電子科技大學唐立新二等獎教金

2014年獲校優秀工作者稱號

論文及專著發表（Publications）

[1] Yu-Xuan He, Liang Li, Stéphane Lanteri and Ting-Zhu Huang, Optimized Schwarz algo- rithms for solving time-harmonic Maxwell’s equations discretized by a hybridizable discon- tinuous Galerkin method, Computer Physics Communications, 200: 176-181, 2016.

[2] Liang Li, Stéphane Lanteri and Ronan Perrussel, A class of locally well-posed hybridizable discontinuous Galerkin methods for the solution of time-harmonic Maxwell’s equations, Computer Physics Communications, 192:23-31, 2015.

[3] Xian-Ming Gu, Ting-Zhu Huang, Bruno Carpentieri, Liang Li and Chun Wen, A hy- bridized iterative algorithm of the BiCORSTAB and GPBiCOR methods for solving non- Hermitian linear systems, Computers & Mathematics with Applications, 70(12): 3019-3031, 2015.

[4] Liang Li, Ting-Zhu Huang, Yan-Fei Jing and Zhi-Gang Ren, Effective preconditioning through minimum degree ordering interleaved with incomplete factorization, Journal of Computational and Applied Mathematics, 279:225-232, 2015.

[5] Xian-Ming Gu, Markus Clemens, Ting-Zhu Huang, Liang Li, The SCBiCG class of algo- rithms for complex symmetric linear systems with applications in several electromagnetic model problems, Computer Physics Communications, 191:52-64, 2015.

[6] Xian-Ming Gu, Ting-Zhu Huang, Xi-Le Zhao, Hou-Biao Li and Liang Li, Fast iterative solvers for numerical simulations of scattering and radiation on thin wires, J. Electromag- netic Waves and Appl., 29(10):1281-1296, 2015.

[7] Liang Li, Stéphane Lanteri and Ronan Perrussel, A hybridizable discontinuous Galerkin method combined to a Schwarz algorithm for the solution of 3d time-harmonic Maxwell’s equation, Journal of Computational Physics, 256(1):563-581, 2014.

[8] Xian-Ming Gu, Ting-Zhu Huang, Liang Li, Hou-Biao Li, Tomohiro Sogabe and Markus Clemens, Quasi-Minimal Residual Variants of the COCG and COCR Methods for Com- plex Symmetric Linear Systems in Electromagnetic Simulations, IEEE Transactions on Microwave Theory and Techniques, 62(12): 2859-2867, 2014.

[9] Wei-Hua Luo, Ting-Zhu Huang, Liang Li, Yong Zhang and Xian-Ming Gu, Ting-Zhu Huang, Liang Li, Yong Zhang, Xian-Ming Gu, Efficient preconditioner updates for unsym- metric shifted linear systems, Computers & Mathematics with Applications, 67(9): 1643- 1655, 2014.

[10] Liang Li, Stéphane Lanteri and Ronan Perrussel, Numerical investigation of a high order hybridizable discontinuous Galerkin method for 2d time-harmonic Maxwell’s equations, COMPEL, 32(3):1112-1138, 2013.

[11] Liang Li, Ting-Zhu Huang, Guang-Hui Cheng, Yan-Fei Jing, Zhi-Gang Ren and Hou-Biao Li, Solution to 3-D electromagnetic problems discretized by a hybrid FEM/MOM method, Computer Physics Communications, 184:73-78, 2013.

[12] Yong Zhang, Ting-Zhu Huang, Yan-Fei Jing, Liang Li, Flexible incomplete Cholesky fac- torization with multi-parameters to control the number of nonzero elements in precondi- tioners, Numerical Linear Algebra with Applications, 19:555-569, 2012.

[13] GuangHui Cheng, XiaoXue Luo and Liang Li, The bounds of the smallest and largest eigenvalues for rank-one modification of the Hermitian eigenvalue problem, Applied Math- ematics Letters, 25(9):1191-1196, 2012.

[14] Zhi-Gang Ren, Ting-Zhu Huang, and Liang Li, A perturbed preconditioning technique for solving complex linear systems arising from scattering problem, Chinese Journal of Engineering Mathematics, 29(3):430-436, 2012.

[15] Dan-Dan Chen, Ting-Zhu Huang and Liang Li, Comparison of algebraic multigrid precon- ditioners for solving Helmholtz equations, Journal of Applied Mathematics, Volume 2012, Article ID 367909, 12 pages, doi:10.1155/2012/367909, 2012.

[16] Dan-Dan Chen, Ting-Zhu Huang, and Liang Li, An algorithm for symmetric indefinite linear systems, J. of Computational Analysis and Applications, 14(1):767-784, 2012.

[17] Zhi-Gang Ren, Ting-Zhu Huang, and Liang Li, A Two-Level Preconditioning Technique for Wire Antennas Attached with Dielectric Objects, Journal of Electronic Science and Technology, 9(1):90-94, 2011.

[18] Chi-Ye Wu, Ting-Zhu Huang and Liang Li, Inverses of block tridiagonal matrices and rounding errors, Bulletin of the Malaysian Mathematical Sciences Society, 34(2):307-318, 2011.

[19] Liang Li, and Ting-Zhu Huang, Indefinite preconditioning techniques for solving indefinite symmetric linear systems, J. UESTC (Chinese series), 40(6):878-881, 2011.

[20] Liang Li, Ting-Zhu Huang, Yan-Fei Jing and Yong zhang, Application of the incomplete Cholesky factorization preconditioned Krylov subspace method to the vector finite element method for 3-D electromagnetic scattering problems, Computer Physics Communications, 181:271-276, 2010.

[21] Jian-Lei Li, Ting-Zhu Huang, and Liang Li, The spectral properties of the preconditioned matrix for nonsymmetric saddle point problems, J. Comput. Appl. Math., 235(1):270-285, 2010.

[22] Jian-Lei Li, Ting-Zhu Huang, Liang Li, Analysis of the inexact Uzawa algorithms for nonlinear saddle-point problems, ANZIAM Journal, 51:369-382, 2010.

[23] Zhi-Gang Ren, Ting-Zhu Huang, Liang Li, Block incomplete LU factorization for block- tridiagonal M-matrices, J. Computational Analysis and Applications, 12(4):834-845, 2010.

[24] Liang Li and Ting-Zhu Huang, Estimation for the inverse of the tridiagonal matrices, Numerical Mathematics A Journal of Chinese Universities (Chinese series), 31(3):215-220, 2009.

[25] Shi-Liang Wu, Ting-Zhu Huang, Liang Li and Liang-Lin Xiong, Positive stable precon- ditioners for symmetric indefinite linear system arising from Helmholtz equations, Physics Letters A, 373:2401-2407, 2009.

[26] Yan-Fei Jing, Ting-Zhu Huang, Yong Zhang, Liang Li, Guang-Hui Cheng, etc., Lanczos- type variants of the COCR method for complex nonsymmetric linear systems, Journal of Computational Physics, 228:6376-6394, 2009.

[27] Ting-Zhu Huang, GuangHui Cheng, and Liang Li. New block triangular preconditioners for saddle point linear systems with highly singular (1,1) blocks. Mathematical Problems in Engineering, vol. 2009, Article ID 468965, 13 pages. doi:10.1155/2009/468965, 2009.

[28] Liang Li and Ting-Zhu Huang, Zhi-Gang Ren, A preconditioned COCG method for solving complex symmetric linear systems arising from scattering problems, J. Electromagnetic Waves and Appl., 22:2023-2034, 2008.

[29] Ting-Zhu Huang and Liang Li, Relaxed forms of BBK algorithm and FBP algorithm for symmetric indefinite linear systems, Computers & Mathematics with Applications, 55:801- 807, 2008.

[30] Liang Li and Ting-Zhu Huang, Two-sided bounds for the spectral radius of nonnegative irreducible matrices, Acta Mathematicae Applicatae Sinica (Chinese series), 31(2):271-277, 2008.

[31] Liang Li, Ting-Zhu Huang and Xing-Ping Liu, Modified Hermitian and skew-Hermitian splitting methods for non-Hermitian positive-definite linear systems, Numerical Linear Al- gebra with Applications, 14(3):217-235, 2007.

[32] Liang Li, Ting-Zhu Huang and Xing-Ping Liu, Asymmetric Hermitian and skew-Hermitian splitting methods for positive definite linear systems, Computers & Mathematics with Ap- plications, 54:147-159, 2007.

Peer-reviewed Conference Papers

[33] Liang Li, Stéphane Lanteri and Ronan Perrussel, A hybridizable discontinuous Galerkin method for solving 3D time-harmonic Maxwell’s equations, Proceedings of the 9th Eu- ropean Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2011), 119-128, 2013.

[34] Liang Li, Ting-Zhu Huang and Zhi-Gang Ren, A class of preconditioners for non-Hermitian positive definite linear systems, Proceedings of the third International Workshop on Matrix Analysis and Applications, 2:28-31, 2009.

Technique Reports

[35] Liang Li, Stéphane Lanteri and Ronan Perrussel, A hybridizable discontinuous Galerkin method combined to a Schwarz algorithm for the solution of 3d time-harmonic Maxwell’s equations, Inria RR-8251, pp. 30, 2013.

[36] Stéphane Lanteri, Liang Li and Ronan Perrussel, A hybridizable discontinuous Galerkin method for time-harmonic Maxwell’s equations, Inria RR-7649, pp. 26, 2011

研究項目（Projects） ^[2] 

Study on numerical simulations for light-matter interactions (Jan., 2015 – Dec., 2017)

· Algorithms for PAPR reduction (Dec., 2014 – Dec., 2015)

· Study on discontinuous Galerkin methods with applications in electromagnetic computations (Jan., 2014 – Dec., 2016) 


· DiscontinuousGalerkinmethodsanddomaindecompositionmethodsforsolving3DMaxwell’s equations (Jan., 2011 – Dec., 2013)

· Study on algebraic multigrid methods with applications in electromagnetic computation (Jan., 2010 – Dec., 2010)

獲獎情況（Awards）

2013年獲四川省科技進步一等獎（排名3）

2008年獲四川省科技進步二等獎（排名5）

2015年獲電子科技大學唐立新二等獎教金

2014年獲校優秀工作者稱號

講授課程（Courses）

Linear Algebra

Matrix Theory

Numerical Linear Algebra

Numerical Analysis

. ^[3]