呂俊良

呂俊良，男，博士，現為吉林大學數學學院教授。

基本介紹

• 中文名：呂俊良
• 畢業院校：吉林大學
• 學位/學歷：博士
• 專業方向：計算數學

研究方向

偏微分方程數值解法、數學物理反問題。

講授課程

2017.03-2017.07 《C語言與程式設計》

2017.03-2017.07 《C語言與程式設計實驗》

2016.09-2017.01 《高等數學III》；

2016.09-2017.01 《數學分析I習題課》；

2016.06-2016.06 《大學數學實驗課II》；

2016.06-2016.06 《大學數學實驗課I》；

2014.09-2015.01 《數學分析堡姜凶鞏III習題課》；

2014.03-2014.07 《數學分析II習題課》；

2013.09-2014.01 《數學分析I習題課》；

2013.08-2013.09 《高等數學實驗課套鑽承境》；

2013.08-2013.09 《數學分析II實驗課》；

2013.08-2013.09 《數隻雄霸學分析I實驗課》；

2011.03-2011.06 《常微分方程習題課》；

2010.09-2011.01 《數學分析III習題課》；

2010.03-2010.06 《數獄嫌漏學分析II習題課》；

2009.09-2010.01 《數學分析I習題課》；

人物經歷

教育經歷

2006.09——甩兵2009.06 吉林大學數學研究所 博士研究生

2003.09——2006.06 吉匙放贈林大學數學研究所 碩士研究生

1999.09——2003.06 吉林大學數學學院 本科生

工作經歷

2013.09——現在 吉林大學數學學院 副教授

2015.04——2016.04 美國普渡大學數學系 訪問學者

2011.10——2013.10 浙江大學數學系 博士後

2009.07——2013.09 吉林大學數學學院 講師

科研項目

6. 非線性熱傳導問題高精度高效計算方法研究 (JCKY2016212A502), 國防科學工業局-國防基礎科研核科學挑戰專熱己舟題, 2017.01-2019.12, 負責人.

5. 國家自然科學基金-青年基金（11301214），2014.01-2016.12，負責人.

4. 國家自然科學基金-天元基金（11126040）， 2012.01-2012.12，負責人.

3. 吉林大學基本科研業務費項目-科學前沿與交叉學科創新項目，2011-2013，負責人.

2. 吉林大學科研啟動基金，2009.07—2011.07，負責人.

1. 吉林大學數學學院青年教師基金，2009-2011.07，負責人.

學術論文

[20] Yanli Chen and Junliang Lv, Adaptive finite volume element methods for elliptic problems on nonmatching quadrilateral meshes, submitted, 2017.

[19] Dan Wu, Jingyan Yue, Guangwei Yuan and Junliang Lv, Finite volume element approximation for nonlinear diffusion problems with degenerate diffusion coefficients, submitted, 2017.

[18] Donghong Yang and Junliang Lv, Incomplete Biquadratic Finite Volume Element Methods, submitted, 2017.

[17] Shuangshuang Luo and Junliang Lv, Convergence analysis of PML method for the 3D elastic wave scattering problem by unbounded rough surfaces, submitted, 2017.

[16] Guofang Chen and Junliang Lv, Convergence analysis of the finite volume element methods for parabolic equations on quadrilateral meshes, submitted, 2016.

[15] Shuangshuang Luo and Junliang Lv, Perfectly matched layer method for the elastic wave scattering problem by unbounded rough surfaces, submitted, 2017.

[14]Xue Jiang, Peijun Li, Junliang Lv and Weiying Zheng, Convergence of the PML solution for elastic wave scattering by biperiodic structures, Communications in Mathematical Sciences, to appear.

[13]Junliang Lv, Guangwei Yuan and Jingyan Yue, Nonnegarivity-preserving repair techniques for the finite

element solutions of degenerate nonlinear parabolic problems, 11(3), 413-436, 2018.

[12] Mingming Zhang and Junliang Lv, Numerical method of profile reconstruction for a periodic transmission problem

from single-sided data, Communications in Computational Physics, 24(2), 435-453, 2018.

[11] Xue Jiang, Peijun Li, Junliang Lv and Weiying Zheng, An adaptive finite element PML method for the elastic wave scattering problem in periodic structures, ESAIM: Mathematical Modelling and Numerical Analysis, 51(5), 2017-2047, 2017.

[10] 陳國芳, 吳丹, 呂俊良, 一種非標準的混合有限元法求解一維退化非線性拋物問題, 吉林大學學報(理學版), 55(5), 2017.

[9] Xue Jiang, Peijun Li, Junliang Lv and Weiying Zheng, An adaptive finite element method for the wave scattering with transparent boundary condition, Journal of Scientific Computing, 72(3), 936-956, 2017.

[8] Yanni Gao, Junliang Lv and Lanhui Zhang, Mixed finite volume element method for elliptic problems on non-matching multiblock triangular grids, International Journal of Numerical Analysis and Modeling, 14(3), 456-476, 2017.

[7] Xiukun Zhao, Yanli Chen and Junliang Lv, A mixed nonoverlapping covolume method on quadrilateral grids for elliptic problems, Journal of Computational and Applied Mathematics, 292, 23-40, 2016.

[6] Gang Bao, Peijun Li and Junliang Lv, Numerical solution of an inverse diffraction grating problem from phaseless data, Journal of the Optical Society of America A, 30(3), 293-298, 2013.

[5] Junliang Lv, Yonghai Li, Optimal biquadratic finite volume element methods on quadrilateral meshes, SIAM Journal on Numerical Analysis, 50(5), 2379-2399, 2012.

[4] Junliang Lv, Yonghai Li, L^2 error estimates and superconvergence of the finite volume element methods on quadrilateral meshes, Advances in Computational Mathematics, 37(3), 393-416, 2012.

[3] 高艷妮, 徐權, 呂俊良, 拋物型方程線性元有限體積法的超收斂性, 吉林大學學報(理學版), 49(2), 179-185, 2011.

[2] Junliang Lv, Yonghai Li, L^2 error estimate of the finite volume element methods on quadrilateral meshes, Advances in Computational Mathematics, 33(2),129-148, 2010.

[1] 田萬福, 呂俊良,王彥鶴, 李永海,兩點邊值問題的Hermite五次元有限體積法,吉林大學學報(理學版),47(2),165-173, 2009.

[19] Dan Wu, Jingyan Yue, Guangwei Yuan and Junliang Lv, Finite volume element approximation for nonlinear diffusion problems with degenerate diffusion coefficients, submitted, 2017.

[18] Donghong Yang and Junliang Lv, Incomplete Biquadratic Finite Volume Element Methods, submitted, 2017.

[17] Shuangshuang Luo and Junliang Lv, Convergence analysis of PML method for the 3D elastic wave scattering problem by unbounded rough surfaces, submitted, 2017.

[16] Guofang Chen and Junliang Lv, Convergence analysis of the finite volume element methods for parabolic equations on quadrilateral meshes, submitted, 2016.

[15] Shuangshuang Luo and Junliang Lv, Perfectly matched layer method for the elastic wave scattering problem by unbounded rough surfaces, submitted, 2017.

[14]Xue Jiang, Peijun Li, Junliang Lv and Weiying Zheng, Convergence of the PML solution for elastic wave scattering by biperiodic structures, Communications in Mathematical Sciences, to appear.

[13]Junliang Lv, Guangwei Yuan and Jingyan Yue, Nonnegarivity-preserving repair techniques for the finite

element solutions of degenerate nonlinear parabolic problems, 11(3), 413-436, 2018.

[12] Mingming Zhang and Junliang Lv, Numerical method of profile reconstruction for a periodic transmission problem

from single-sided data, Communications in Computational Physics, 24(2), 435-453, 2018.

[11] Xue Jiang, Peijun Li, Junliang Lv and Weiying Zheng, An adaptive finite element PML method for the elastic wave scattering problem in periodic structures, ESAIM: Mathematical Modelling and Numerical Analysis, 51(5), 2017-2047, 2017.

[10] 陳國芳, 吳丹, 呂俊良, 一種非標準的混合有限元法求解一維退化非線性拋物問題, 吉林大學學報(理學版), 55(5), 2017.

[9] Xue Jiang, Peijun Li, Junliang Lv and Weiying Zheng, An adaptive finite element method for the wave scattering with transparent boundary condition, Journal of Scientific Computing, 72(3), 936-956, 2017.

[8] Yanni Gao, Junliang Lv and Lanhui Zhang, Mixed finite volume element method for elliptic problems on non-matching multiblock triangular grids, International Journal of Numerical Analysis and Modeling, 14(3), 456-476, 2017.

[7] Xiukun Zhao, Yanli Chen and Junliang Lv, A mixed nonoverlapping covolume method on quadrilateral grids for elliptic problems, Journal of Computational and Applied Mathematics, 292, 23-40, 2016.

[6] Gang Bao, Peijun Li and Junliang Lv, Numerical solution of an inverse diffraction grating problem from phaseless data, Journal of the Optical Society of America A, 30(3), 293-298, 2013.

[5] Junliang Lv, Yonghai Li, Optimal biquadratic finite volume element methods on quadrilateral meshes, SIAM Journal on Numerical Analysis, 50(5), 2379-2399, 2012.

[4] Junliang Lv, Yonghai Li, L^2 error estimates and superconvergence of the finite volume element methods on quadrilateral meshes, Advances in Computational Mathematics, 37(3), 393-416, 2012.

[3] 高艷妮, 徐權, 呂俊良, 拋物型方程線性元有限體積法的超收斂性, 吉林大學學報(理學版), 49(2), 179-185, 2011.

[2] Junliang Lv, Yonghai Li, L^2 error estimate of the finite volume element methods on quadrilateral meshes, Advances in Computational Mathematics, 33(2),129-148, 2010.

[1] 田萬福, 呂俊良,王彥鶴, 李永海,兩點邊值問題的Hermite五次元有限體積法,吉林大學學報(理學版),47(2),165-173, 2009.