人物經歷
1983.9--1987. 6 吉林大學數學系 本科;
1987.9--1990.6 吉林大學數學所 碩士;
1995.9--1999.6 吉林大學數學所 博士;
1990.6―1992.12 吉林大學數學系 助教;
1992.12月--1998.9 吉林大學數學系 講師;
1998.9--2004.12 吉林大學數學院 副教授;
2000.5--2002.5 中科院數學所 博士後;
2002.9--2003.3 德國Chemnitz技術大學 博士後;
2004.12--至今 吉林大學數學院 教授;
2005.10--至今 吉林大學數學院 博士生導師;
2004.10―至今 吉林大學信息與計算數學系 主任。
主講課程
多次為本科生主講<<計算方法>>,<<高等數學>>,<<偏微分方程數值解法>>。
研究方向
偏微分方程數值解法。
目前已涉及的研究領域為:
1.橢圓與拋物方程的有限體積元法;
2.有限體積元法的多水平預處理;
3.有限元法的多尺度小波基;
主要貢獻
目前已畢業碩士生7名,正在指導的碩士生12名,在讀博士生2名。
到目前為止在國內外雜誌上發表論文十餘篇,目錄如下
[1] MR2199852 (2006j:65285) Li, Yong Hai; Cheng, Zhi Wei; Sun, Feng Zhi A finite volume element method for a parabolic equation on BB dual subdivisions. (Chinese) Math. Numer. Sin. 27 (2005), no. 4, 415--428. (Reviewer: Qing Fang) 65M60 (65M15)
[2] MR2117705 (2005k:65221) Sun, Feng Zhi; Li, Yong Hai Finite volume element method based on circumcenter dual subdivisions. (Chinese) J. Jilin Univ. Sci. 43 (2005), no. 1, 37--44. (Reviewer: Qing Fang) 65N06 (65M15 65N15)
[3] MR2052567 Cheng, Zhi Wei; Li, Yong Hai Finite volume element method based on BB dual subdivisions for parabolic equations. (Chinese) J. Jilin Univ. Sci. 42 (2004), no. 2, 179--181. 65M60 (65M15)
[4] MR1969020 (2004c:65152) Zou, Qingsong; Li, Yonghai On the approaching domain obtained by finite element method. Northeast. Math. J. 18 (2002), no. 3, 273--282. (Reviewer: Gert Lube) 65N30
[5] MR1959856 (2003m:65143) Li, Yong Hai A generalized difference method (finite volume method) for parabolic equations. (Chinese) Math. Numer. Sin. 24 (2002), no. 4, 487--500; translation in Chinese J. Numer. Math. Appl. 25 (2003), no. 1, 85--98 (Reviewer: Wei Zhong Dai) 65M06 (65M15
[6] MR1723103 (2000g:65103) Li, Yong-hai; Li, Rong-hua Generalized difference methods on arbitrary quadrilateral networks. J. Comput. Math. 17 (1999), no. 6, 653--672. 65N06 (65N12)
[7] MR1656021 Li, Yong Hai; Li, Rong Hua A class of generalized difference methods with BB dual subdivision. (Chinese) Numer. Math. J. Chinese Univ. 20 (1998), no. 1, 56--68. 65M06 (65N06)
[8] MR1633854 Li, Yonghai; Li, Ronghua Generalized difference methods on arbitrary quadrilateral networks. Northeast. Math. J. 14 (1998), no. 1, 1--4. 65N06
[9] MR1665236 Li, Yong Hai The quadratic mixed generalized difference method for biharmonic equations. (Chinese) Acta Sci. Natur. Univ. Jilin. 1997, no. 4, 1--8. 65N06
[10] MR1333480 (96c:65175) Li, Yong Hai A mixed generalized difference method for biharmonic equations. (Chinese) Acta Sci. Natur. Univ. Jilin. 1993, no. 3, 19--30. 65N06