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

  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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

  16. 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

  17. 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

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