基本情况
蒋耀林,理学博士,博士生导师,西安交通大学教授(二级),陕西省工业与应用数学学会第四、五届理事会理事长,中国工业与应用数学学会第四、五届和第六届理事会常务理事。出版著作4部(其中研究生教材1部),在国内外学术期刊发表论文150余篇(其中SCI检索期刊论文100余篇)。
研究领域
新型数值方法、微分方程的波形松弛方法、大型系统的模型降阶方法、偏微分方程的区域分解方法、集成电路系统的快速模拟方法、数值线性代数、非线性系统的动力学(分叉与混沌等)、并行计算与实现
教育背景
1992年 博士,西安交通大学
1988年 硕士,西安交通大学
1985年 学士,四川大学
工作经历
1998年至今 教授/博士生导师,西安交通大学
2004年至2005年 高级研究员,比利时Katholieke
Universiteit Leuven大学
1999年至2000年 客座研究员,香港城市大学
1993年至1998年 副教授,西安交通大学
1996年至1997年 博士后,香港中文大学
论文发表
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O. Wing, Y. L. Jiang, and Q. J. Yu, “Rational
approximation of irrational functions by linear fractional transformations,”
IEEE Transactions on Circuits and Systems - Part I, Vol. 45, No. 11,
pp. 1216-1221, 1998
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Y. L. Jiang and O. Wing, “Monotone waveform
relaxation for systems of nonlinear differential-algebraic equations,” SIAM
Journal on Numerical Analysis, Vol. 38, No. 1, pp. 170-185, 2000
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Y. L. Jiang and O. Wing, “A note on the
spectra and pseudo spectra of waveform relaxation operators for
linear differential-algebraic equations,” SIAM Journal on Numerical
Analysis, Vol. 38, No. 1, pp. 186-201, 2000
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Y. L. Jiang, R. M. M. Chen, and O. Wing, “Convergence
analysis of waveform relaxation for nonlinear differential-algebraic equations
of index one,” IEEE Transactions on Circuits and Systems - Part I, Vol. 47,
No. 11, pp. 1639-1645, 2000
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Y. L. Jiang, R. M. M. Chen, and O. Wing, “Improving
convergence performance of relaxation-based transient analysis by matrix
splitting in circuit simulation,” IEEE Transactions on Circuits
and Systems - Part I, Vol. 48, No. 6, pp. 769-780, 2001
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Y. L. Jiang, R. M. M. Chen, and O. Wing, “Waveform
relaxation of nonlinear second-order differential equations,” IEEE Transactions
on Circuits and Systems - Part I, Vol. 48, No. 11, pp. 1344-1347, 2001
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Y. L. Jiang, R. M. M. Chen, and O. Wing, “Periodic
waveform relaxation of nonlinear dynamic systems by quasi-linearization,” IEEE
Transactions on Circuits and Systems - Part I, Vol. 50, No. 4, pp. 589-593,
2003
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Y. L. Jiang, “On time-domain simulation of
lossless transmission lines with nonlinear terminations,” SIAM
Journal on Numerical Analysis, Vol. 42, No. 3, pp. 1018-1031, 2004
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Y. L. Jiang, “A general approach to
waveform relaxation solutions of differential-algebraic equations: the
continuous-time and discrete-time cases,” IEEE Transactions on Circuits
and Systems - Part I, Vol. 51, No. 9, pp. 1770-1780, 2004
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Y. L. Jiang and R. M. M. Chen, “Computing
periodic solutions of linear differential-algebraic equations by waveform relaxation,”
Mathematics of Computation, Vol. 74, No. 250, pp. 781-804, 2005
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G. J. Peng, Y. L. Jiang, and C. P. Li,
“Bifurcations of a Holling-type II predator-prey system with constant rate
harvesting,” International Journal of Bifurcation and Chaos, Vol. 19, No. 8,
pp. 2499-2514, 2009
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G. J. Peng and Y. L. Jiang, “Two routes to
chaos in the fractional Lorenz system with dimension continuously varying,” Physical
A, Vol. 389, No. 19, pp. 4140-4148, 2010
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Y. M. Kang and Y. L. Jiang, “Spectral
density of fluctuations in fractional bistable Klein-Kramers systems,” Physical
Review E, Vol. 81, No. 2, pp. 021109(6p), 2010
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Y. L. Jiang and H. B. Chen, “Application of
general orthogonal polynomials to fast simulation of nonlinear descriptor
systems through piecewise-linear approximation,” IEEE Transactions on
Computer-Aided Design of Integrated Circuits and Systems, Vol. 31, No. 5, pp.
804-808, 2012
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Y. L. Jiang and H. B. Chen, “Time domain
model order reduction of general orthogonal polynomials for linear input-output
systems,” IEEE Transactions on Automatic Control, Vol. 57, No. 2, pp. 330-343,
2012
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M. J. Gander, Y. L. Jiang, B. Song, and H.
Zhang, “Analysis of two parareal algorithms for time-periodic problems,” SIAM
Journal on Scientific Computing, Vol. 35, No. 5, pp. A2393-A2415, 2013
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Y. L. Jiang and X. Kong, “On the uniqueness and perturbation to the best rank-one approximation of a tensor,” SIAM Journal on Matrix Analysis and Applications, Vol. 36, No. 2, pp. 775-792, 2015