2002年6月获安徽师范大学理学硕士学位,2005年3月获上海交通大学理学博士学位。中国数学会奇异摄动专业委员会理事;德国 Zentralblatt MATH 评论员。 2007东华大学优青后备人选。
研究方向:
常微分方程和动力系统/奇异摄动理论及其应用。
近几年担任的科研项目:
主持国家自然科学基金青年基金项目“多尺度动力系统中的鸭流形问题” (2008.1-2010.12)
主持东华大学优秀青年教师后备人选项目“奇异摄动问题的理论与计算” (2008.1-2009.12)
主持东华大学科技发展基金“奇异摄动系统鸭流形问题的研究” (2005.10-2006.9)
参与上海市教委上海高校计算科学E-研究院项目子课题“非线性刚性系统的理论与计算” (2004.9-2013.8)
讲授课程:
数学分析/微积分/线性代数/动力系统
个人主页:
http://math.dhu.edu.cn/teacher/math/谢峰/
近几年发表的论著:
Xie Feng, Wang Jian, Zhang Weijiang and He Ming, A novel method for a class of parameterized singularly perturbed boundary value problems, Journal of Computational and Applied Mathematics, 213(1) (2008), 258-267.
Xie Feng and Chen Xianfeng, Canards in a rheodynamic model of cardiac pressure pulsations, Chinese Physics, 16(9) (2007), 2635-2639.
Xie Feng, Han Maoan, and Zhang Weijiang, The persistence of canards in 3-D singularly perturbed systems with two fast variables, Asymptotic Analysis, 47 (1,2) (2006), 95-106.
Xie Feng, Han Maoan, and Zhang Weijiang, Existence of canard manifolds in a class of singularly perturbed systems, Nonlinear Analysis, 64 (3) (2006), 457-470.
Xie Feng, Han Maoan, and Zhang Weijiang, Canard phenomena in oscillations of a surface oxidation reaction, Journal of Nonlinear Science, 15 (6) (2005), 363-386.
Xie Feng, Han Maoan, and Zhang Weijiang, Singular homoclinic bifurcations in a planar fast-slow system, J.Dynam. Control Systems, 11(3) (2005), 433-448.
Xie Feng and Zhang Xiang, Invariant algebraic surfaces of the Rabinovich system, J.Phys.A: Math.Gen., 36(2003), 499-516.
Xie Feng, Generalized quasilinearization method for a class of semilinear elliptic system, J. Partial Diff.Eqs., 16(2003), 299-305.
Xie Feng, Singular perurbation for a class of reaction diffusion equations, Acta Math. Sci. Ser. A Chin.Ed., 23(2003), 369-373. (In Chinese)
Xie Feng, Singular perturbation of a class of Dirichlet exterior problems for elliptic equations, Chin.Quart.J.of Math., 18(2003), 1-6.
Xie Feng, A class of singularly perturbed initial boundary value problem for reaction diffusion equations, Analysis in Theory & Appl., 19(2003), 14-19.
Xie Feng, Singularly perturbed boundary value problem for nonlinear second order ODEs involving two small parameters, Ann.of Diff.Eqs., 18(2002), 392-402.
Xie Feng, Singular perturbation of two points boundary value problems for a class of third order quasilinear differential equation. Chin. Quart. J. of Math., 16(3) (2001): 69-74.
|