学术专著与教材

* 蒋耀林. 波形松弛方法, 科学出版社, 北京, 2009年.

* 蒋耀林. 模型降阶方法, 科学出版社, 北京, 2010年.

* 蒋耀林. 工程数学的新方法, 高等教育出版社(现代数学基础32辑), 北京, 2013年.

* 蒋耀林, 陈诚. 微分方程的李群方法, 科学出版社, 北京, 2021年(出版中).

* 蔺小林, 蒋耀林. 现代数值分析, 国防工业出版社, 北京, 2004年.

重要期刊论文（部分）

* 蒋耀林, 徐宗本, “Banach 空间中增生算子方程迭代法与非线性收缩半群弱收敛的充要条件”, 数学学报, Vol. 37, No. 6, pp. 842--851, 1994.

* 蒋耀林, 游兆永，“二阶非线性发展方程及其差分方程解的渐近性态”, 应用数学学报, Vol. 19, No. 2, pp. 271--278, 1996.

* 蒋耀林, 徐宗本, “非线性拟自治发展方程解的收敛特征”, 数学年刊, Vol. 18A, No. 6, pp. 799—808, 1997.

* 徐健学, 陈永红, 蒋耀林, “人工神经网络非线性动力学及应用”, 力学进展, Vol. 28, No. 2, pp. 145—162, 1998.

* 黄祖兰, 蒋耀林, 陈明敏, 林小拉, “基于动力学方程求解复矩阵特征值问题的并行实现”, 计算机学报, Vol. 25, No. 7, pp. 716--722, 2002.

* 蔺小林, 蒋耀林, “酉对称矩阵的QR分解及其算法”, 计算机学报，Vol. 28, No. 5, pp. 817--822, 2005.

* Z. C. Li, Y. L. Jiang, and R. Z. Zhang, “Neural-network-based charge density quantum correction of nanoscale MOSFETs,” 半导体学报, Vol. 27, No. 3, pp. 438--442, 2006.

* Z. C. Li, Y. L. Jiang, and J. M. Wu, “Dual material gate SOI MOSFET with a single halo,” 半导体学报, Vol. 28, No. 3, pp. 327--331, 2007.

* 李尊朝, 蒋耀林, 吴建民, “全耗尽异质栅单Halo SOI MOSFET二维模型”, 电子学报, Vol. 35, No. 2, pp. 212--215, 2007.

* 蒋耀林, 张辉, “抛物方程时间周期问题的有限元多格子动力学迭代”, 计算数学, Vol. 30, No. 2, pp. 113--128, 2008.

* 张辉, 蒋耀林, “抛物型时间周期问题的Schwarz波形松弛方法”, 中国科学：数学, Vol. 40, No. 5, pp. 497--516, 2010.

* 张辉, 宋博, 蒋耀林, “一种新的局部时间积分的区域分解波形松弛算法”, 中国科学：数学, Vol. 42, No. 5, pp. 501--514, 2012.

* Y. L. Jiang, Z. B. Xu, and H. K. Xu, “Convergence theorems for accretive operators in Banach spaces,” Communications on Applied Nonlinear Analysis, Vol. 1, No. 1, pp. 57--67, 1994.

* Z. B. Xu, Y. L. Jiang, and G. F. Roach, “A further necessary and sufficient condition for strong convergence of nonlinear contraction semigroups and of iterative methods for accretive operators in Banach spaces,” Proceedings of the Edinburgh Mathematical Society, Vol. 38, No. 1, pp . 1--12, 1995.

* Y. L. Jiang, Z. B. Xu, and G. F. Roach, “On conditions of weak convergence of nonlinear contraction semigroups and of iterative methods for accretive operators in Banach spaces,” Nonlinear Analysis, Theory, Methods & Applications, Vol. 27, No. 4, pp. 387--396, 1996.

* Y. L. Jiang, W. S. Luk, and O. Wing, “Convergence-theoretics of classical and Krylov waveform relaxation methods for differential-algebraic equations, ” IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E80-A, No. 10, pp. 1961--1972, 1997.

* O. Wing, Y. L. Jiang, and Q. J. Yu, “Rational approximation of irrational functions by linear fractional transformations,” IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, Vol. 45, No. 11, pp. 1216--1221, 1998.

* 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.

* Y. L. Jiang and O. Wing, “A note on the spectra and pseudospectra of waveform relaxation operators for linear differential-algebraic equations,” SIAM Journal on Numerical Analysis, Vol. 38, No. 1, pp. 186--201, 2000.

* 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 I: Fundamental Theory and Applications, Vol. 47, No. 11, pp. 1639--1645, 2000.

* Y. L. Jiang and O. Wing, “A note on convergence conditions of waveform relaxation algorithms for nonlinear differential-algebraic equations,” Applied Numerical Mathematics, Vol. 36, Nos. 2-3, pp. 281--297, 2001.

* 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 I: Fundamental Theory and Applications, Vol. 48, No. 6, pp. 769--780, 2001.

* Y. L. Jiang, R. M. M. Chen, and O. Wing, “Waveform relaxation of nonlinear second-order differential equations,” IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, Vol. 48, No. 11, pp. 1344--1347, 2001.

* Y. L. Jiang and R. M. M. Chen, “Dynamic equations of generalized eigenvalue problems,” IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E85-A, No. 8, pp. 1974--1978, 2002.

* Y. H. Chen, Y. L. Jiang, and J. X. Xu, “Dynamic properties and a new learning mechanism in higher order neural networks,” Neurocomputing, Vol. 50, pp. 17--30, 2003.

* Y. L. Jiang, Y. W. Liu, K. K. Mei, and R. M. M. Chen, “A new iterative technique for large and dense linear systems from the MEI method in electromagnetics,” Applied Mathematics and Computation, Vol. 139, No. 1, pp. 157--163, 2003.

* 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 I: Fundamental Theory and Applications, Vol. 50, No. 4, pp. 589--593, 2003.

* 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.

* Y. L. Jiang, “A general approach to waveform relaxation solutions of nonlinear differential-algebraic equations: the continuous-time and discrete-time cases,” IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, Vol. 51, No. 9, pp. 1770--1780, 2004.

* 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.

* Y. L. Jiang, “Periodic waveform Krylov subspace method of circuit systems by multiple shooting, ” IEE Proceedings of Circuits, Devices and Systems, Vol. 152, No. 1, pp. 33--37, 2005.

* G. S. Wei and Y. L. Jiang, “A characterization of positive self-adjoint extensions and its application to ordinary differential operators,” Proceedings of the American Mathematical Society, Vol. 133, No. 10, pp. 2985--2995, 2005.

* Y. L. Jiang, “Windowing waveform relaxation of initial value problems,” Acta Mathematicae Applicatae Sinica, English Series, Vol. 22, No. 4, pp. 575--588, 2006.

* X. Y. Wang and Y. L. Jiang, “Boundary value problems of singular perturbed partial differential equations with impulsive conditions,” International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 7, No. 4, pp. 443--446, 2006.

* J. Gao and Y. L. Jiang, “A periodic wavelet method for the second kind of the logarithmic integral equation,” Bulletin of the Australian Mathematical Society, Vol. 76, No. 3, pp. 321--336, 2007.

* Y. L. Jiang and H. Zhang, “Schwarz waveform relaxation methods for parabolic equations in space-frequency domain,” Computers & Mathematics with Applications, Vol. 55, No. 12, pp. 2924--2939, 2008.

* G. J. Peng and Y. L. Jiang, “Generalized projective synchronization of a class of fractional-order chaotic systems via a scalar transmitted signal, ” Physics Letters A, Vol. 372, No. 22, pp. 3963--3970, 2008.

* Y. M. Kang and Y. L. Jiang, “A semi-analytic method for computing the long-time order parameter dynamics in mean-field coupled overdamped oscillators,” Physics Letters A, Vol. 372, No. 46, pp. 6826--6832, 2008.

* G. J. Peng, Y. L. Jiang, and F. Chen, “Generalized projective synchronization of fractional order chaotic systems,” Physica A, Vol. 387, No. 14, pp. 3738--3746, 2008.

* 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. 25.

* G. J. Peng and Y. L. Jiang, “Two routes to chaos in the fractional Lorenz system with dimension continuously varying,” Physica A, Vol. 389, No. 19, pp. 4140--4148, 2010.

* Y. M. Kang and Y. L. Jiang, “Linear response characteristics in time-dependent subdiffusive fractional Fokker-Planck equations,” Journal of Mathematical Physics, Vol. 51, No. 2, pp. 023301(9 pages), 2010.

* 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 (6 pages), 2010.

* Y. L. Jiang, “Convergence conditions on waveform relaxation of general differential-algebraic equations,” International Journal of Computer Mathematics, Vol. 87, No. 15, pp. 3507--3524, 2010.

* X. L. Lin, Y. L. Jiang, and X. Q. Wang, “Existence of periodic solutions in predator-prey with Watt-type functional response and impulsive effect,” Nonlinear Analysis, Theory, Methods & Applications, Vol. 73, No. 6, pp. 1684--1697, 2010.

* J. Gao and Y. L. Jiang, “Multiwavelet compression for the boundary integral equation on an open wedge,” Engineering Analysis with Boundary Elements, Vo. 35, No. 3, pp. 298--302, 2011.

* G. J. Peng and Y. L. Jiang, “Practical computation of normal forms of the Bogdanov-Takens bifurcation,” Nonlinear Dynamics, Vol. 66, Nos 1-2, pp. 99--132, 2011.

* J. Liu and Y. L. Jiang, “Waveform relaxation for reaction-diffusion equations,” Journal of Computational and Applied Mathematics, Vol. 235, No. 17, pp. 5040--5055, 2011.

* X. L. Wang and Y. L. Jiang, “Model order reduction methods for coupled systems in the time domain using Laguerre polynomials,” Computers & Mathematics with Applications, Vol. 62, No. 8, pp. 3241--3250, 2011.

* Y. L. Jiang and X. L. Ding, “Nonnegative solutions of fractional functional differential equations,” Computers & Mathematics with Applications, Vol. 63, No. 5, pp. 896--904, 2012.

* 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.

* 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.

* X. L. Wang and Y. L. Jiang, “Model reduction of bilinear systems based on Laguerre series expansion,” Journal of the Franklin Institute, Vol. 349, No. 3, pp. 1231--1246, 2012.

* X. Kong and Y. L. Jiang, “Subtracting a best rank-1 approximation from p*p*2 tensors,” Numerical Linear Algebra with Applications, Vol. 19, No. 3, pp. 503--523, 2012.

* C. Y. Chen, Y. L. Jiang, and H. B. Chen, “An epsilon-embedding model-order reduction approach for differential-algebraic equation systems,” Mathematical and Computer Modelling of Dynamical Systems, Vol. 18, No. 2, pp. 223--241, 2012.

* J. Liu and Y. L. Jiang, “A parareal waveform relaxation algorithm for semi-linear parabolic partial differential equations,” Journal of Computational and Applied Mathematics, Vol. 236, No. 17, pp. 4245--4263, 2012.

* J. Liu and Y. L. Jiang, “A parareal algorithm based on waveform relaxation,” Mathematics and Computers in Simulation, Vol. 82, No. 11, pp. 2167--2181, 2012.

* X. L. Ding and Y. L. Jiang, “Semilinear fractional differential equations based on a new integral operator approach,” Communications in Nonlinear Science and Numerical Simulation, Vol. 17, No. 12, pp. 5143--5150, 2012.

* Y. L. Jiang, C. Y. Chen, and H. B. Chen, “Model-order reduction of coupled DAE systems via epsilon-embedding and Krylov subspace techniques,” Journal of the Franklin Institute, Vol. 349, No. 10, pp. 3027--3045, 2012.

* F. Chen, Y. L. Jiang, and Q. Q. Liu, “On structured variants of modified HSS iteration methods for complex Toeplitz linear systems,” Journal of Computational Mathematics, Vol. 31, No. 1, pp. 57--67, 2013.

* H. B. Chen and Y. L. Jiang, “An acceleted waveform relaxation approach based on model order reduction for large coupling systems,” Journal of Computational Mathematics, Vol. 31, No. 2, pp. 190--208, 2013.

* J. T. Jia and Y. L. Jiang, “Symbolic algorithms for solving cyclic penta-diagonal linear systems,” Numerical Algorithms, Vol. 63, No. 2, pp. 357--367, 2013.

* X. L. Ding and Y. L. Jiang, “Analytical solutions for the multi-term time-space fractional advection-diffusion equations with mixed boundary conditions,” Nonlinear Analysis: Real World Applications, Vol. 14, No. 2, pp. 1026--1033, 2013.

* X. Kong and Y. L. Jiang, “A note on the ranks of 2*2*2 and 2*2*2*2 tensors,” Linear and Multilinear Algebra, Vol. 61, No. 10, pp. 1348--1362, 2013.

* G. J. Peng and Y. L. Jiang, “Computation of universal unfolding of the double-zero bifurcation in Z2 symmetric systems by a homological method,” Journal of Difference Equations and Applications, Vol. 19, No. 9, pp. 1501--1512, 2013.

* X. Kong and Y. L. Jiang, “Structured multi-way arrays and their applications,” Frontiers of Mathematics in China, Vol. 8, No. 2, pp. 345--369, 2013.

* Y. L. Jiang and X. L. Ding, “Waveform relaxation methods for fractional differential equations with the Caputo derivatives,” Journal of Computational and Applied Mathematics, Vol. 238, No. 1, pp. 51--67, 2013.

* X. L. Wang and Y. L. Jiang, “Two-sided projection methods for model reduction of MIMO bilinear systems,” Mathematical and Computer Modelling of Dynamical Systems, Vol. 19, No. 6, pp. 575--592, 2013.

* J. T. Jia and Y. L. Jiang, “A structure preserving matrix factorization for solving general periodic pentadiagonal Toeplitz linear systems,” Computers & Mathematics with Applications, Vol. 66, No. 6, pp. 965--974, 2013.

* 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.

* X. L. Ding and Y. L. Jiang, “Waveform relaxation methods for fractional functional differential equations,” Fractional Calculus and Applied Analysis, Vol. 16, No. 3, pp. 573--594, 2013.

* X. L. Ding and Y. L. Jiang, “Waveform relaxation methods for fractional differential-algebraic equations,” Fractional Calculus and Applied Analysis, Vol. 17, No. 3, pp. 585--604, 2014.

* C. Y. Chen and Y. L. Jiang, “Model-order reduction for differential-algebraic equation systems with high index,” Journal of Process Control, Vol. 24, No. 1, pp. 72--81, 2014.

* Z. H. Xiao and Y. L. Jiang, “Dimension reduction for second-order systems by general orthogonal polynomials,” Mathematical and Computer Modelling of Dynamical Systems, Vol. 20, No. 4, pp. 414--432, 2014.

* Z. L. Wang and Y. L. Jiang, “Simple synchronization scheme of Genesio-Tesi system based on the back-stepping design,” International Journal of Modern Physics B, Vol. 28, No. 5, pp. 1450012(6 pages), 2014.

* H. Zhang and Y. L. Jiang, “A note on the H1-convergence of the overlapping Schwarz waveform relaxation method for the heat equation,” Numerical Algorithms, Vol. 66, No. 2, pp. 299--307, 2014.

* B. Song and Y. L. Jiang, “Analysis of a new parareal algorithm based on waveform relaxation method for time-periodic problems,” Numerical Algorithms, Vol. 67, No. 3, pp. 599--622, 2014.

* X. L. Wang and Y. L. Jiang, “On model reduction of K-power systems,” International Journal of Systems Science, Vol. 45, No. 9, pp. 1978--1990, 2014.

* Y. M. Kang, Y. L. Jiang, and Y. Xie, “Linear response characteristics of time-dependent time fractional Fokker-Planck equation systems,” Journal of Physics A: Mathematical and Theoretical, Vol. 47, No. 45, pp. 455005(17 pages), 2014.

* Z. L. Wang, Y. L. Jiang, and H. L. Li, “Synchronization of multiple bursting neurons ring coupled via impulsive variables,” Complexity, Vol. 21, No. 2, pp. 29--37, 2014.

* Z. L. Wang, Y. L. Jiang, and H. L. Li, “Impulsive synchronization of time delay bursting neuron systems with unidirectional coupling,” Complexity, Vol. 21, No. 2, pp. 38--46, 2014.

* B. Song ad Y. L. Jiang, “A new parareal waveform relaxation algorithm for time-periodic problems,” International Journal of Computer Mathematics, Vol. 92, No. 2, pp. 377--393, 2015.

* Y. L. Jiang and Z. H. Xiao, “Arnoldi-based model reduction for fractional order linear systems,” International Journal of Systems Science, Vol. 46, No. 8, pp. 1411--1420, 2015.

* H. L. Li, Y. L. Jiang, and Z. L. Wang, “Anti-synchronization and intermittent anti-synchronization of two identical hyperchaotic Chua systems via impulsive control,” Nonlinear Dynamics, Vol. 79, No. 2, pp. 919--925, 2015.

* J. W. Yuan, Y. L. Jiang, and Z. H. Xiao, “Structure-preserving model order reduction by general orthogonal polynomials for integral-differential systems,” Journal of the Franklin Institute, Vol. 352, No. 1, pp. 138--154, 2015.

* K. L. Xu, Z. X. Yang, and Y. L. Jiang, “Order-reduced models based on two sides techniques for input-output systems governed by differential-algebraic equations,” International Journal for Multiscale Computational Engineering, Vol. 13, No. 3, pp. 219--230, 2015.

* C. Chen and Y. L. Jiang, “Lie group analysis method for two classes of fractional partial differential equations,” Communications in Nonlinear Science and Numerical Simulation, Vol. 26, Nos. 1-3, pp. 24--35, 2015.

* H. L. Li, Y. L. Jiang, Z. L. Wang, and C. Hu, “Global stability problem for feedback control systems of impulsive fractional differential equations on networks,” Neurocomputing, Vol. 161, pp.155--161, 2015.

* K. L. Xu, Y. L. Jiang, and Z. X. Yang, “H2 order-reduction for bilinear systems based on Grassmann manifold,” Journal of Franklin Institute, Vol. 352, No. 10, pp. 4467--4479, 2015.

* Z. Z. Qi, Y. L. Jiang, and Z. H. Xiao, “Structure-preserving model order reduction based on Laguerre-SVD for coupled systems,” Mathematical and Computer Modelling of Dynamical Systems, Vol. 21, No. 6, pp. 573--590, 2015.

* 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.

* W. Liu, Y. L. Jiang, and Y. X. Chen, “Dynamic properties of a delayed predator–prey system with Ivlev-type functional response,” Nonlinear Dynamics, Vol. 84, No. 2, pp. 743--754, 2016.

* Y. Lu and Y. L. Jiang, “Symplectic schemes for telegraph equations,” Journal of Computational Mathematics, Vol. 34, No. 3, pp. 285--299, 2016.

* B. Liu, W. Wang, D. H. Kim, D. Y. Li, J. Y. Wang, A. O. Tokuta, and Y. L. Jiang, "On approximating minimum 3-connected m-dominating set problem in unit disk graph,” IEEE/ACM Transactions on Networking, Vol. 24, No. 5, pp. 2690--2701, 2016.

* Z. Z. Qi, Y. L. Jiang, and Z. H. Xiao, “Time domain model order reduction using general orthogonal polynomials for K-power bilinear systems,” International Journal of Control, Vol. 89, No. 5, pp. 1065--1078, 2016.

* X. L. Ding and Y. L. Jiang, “A windowing waveform relaxation method for time-fractional differential equations,” Communications in Nonlinear Science and Numerical Simulation, Vol. 30, Nos. 1-3, pp. 139--150, 2016.

* Y. L. Jiang, Y. Lu, and C. Chen, “Conservation laws and optimal system of extended quantum Zakharov-Kuznetsov equation,” Journal of Nonlinear Mathematical Physics, Vol. 23, No. 2, pp. 157--166, 2016.

* Y. B. Yang and Y. L. Jiang, “Numerical analysis and computation of a type of IMEX method for the time-dependent natural convection problem,” Computational Methods in Applied Mathematics, Vol. 16, No. 2, pp. 321--344, 2016.

* X. L. Wang and Y. L. Jiang, “Model reduction of discrete-time bilinear systems by a Laguerre expansion technique,” Applied Mathematical Modelling, Vol. 40, Nos. 13-14, pp. 6650--6662, 2016.

* Z. H. Xiao and Y. L. Jiang, “Model order reduction of MIMO bilinear systems by multi-order Arnoldi method,” Systems & Control Letters, Vol. 94, pp. 1--10, 2016.

* W. Liu and Y. L. Jiang, “Dynamics of a modified predator-prey system to allow for a functional response and time delay,” East Asian Journal on Applied Mathematics, Vol. 6, No. 4, pp. 384--399, 2016.

* Z. X. Yang, Z. Zhou, and Y. L. Jiang, “Least squares support vector machine with parametric margin for binary classification,” Journal of Intelligent & Fuzzy Systems, Vol. 30, No. 5, pp. 2897--2904, 2016.

* X. L. Wang, Y. L. Jiang, and X. Kong, “Laguerre functions approximation for model reduction of second order time-delay systems,” Journal of the Franklin Institute, Vol. 353, No. 14, pp. 3560--3577, 2016.

* Y. L. Jiang, H. B. Chen, and Z. Z. Qi, “Nonlinear model order reduction based on tensor Kronecker product expansion with Arnoldi process,” Journal of the Franklin Institute, Vol. 353, No. 14, pp. 3641--3655, 2016.

* Z. H. Xiao and Y. L. Jiang, “Multi-order Arnoldi-based model order reduction of second-order time-delay systems,” International Journal of Systems Science, Vol. 47, No. 12, pp. 2925--2934, 2016.

* W. Liu and Y. L. Jiang, “Modeling and analysis of a predator-prey system with time delay,” International Journal of Biomathematics, Vol. 10, No. 3, pp. 1750032 (22 pages), 2017.

* K. L. Xu, Y. L. Jiang, and Z. X. Yang, “H2 optimal model order reduction by two-sided technique on Grassmann manifold via the cross-gramian of bilinear systems,” International Journal of Control, Vol. 90, No. 3, pp. 616--626, 2017.

* J. Liu, Y. L. Jiang, and Y. Wang, “A fast and stable algorithm for linear parabolic partial differential equations,” Numerical Algorithms, Vol. 75, No. 3, pp. 699--729, 2017.

* H. L. Li, Y. L. Jiang, Z. L. Wang, X. M. Feng, and Z. D. Teng, “Stability analysis for coupled systems of fractional differential equations on networks,” International Journal of Computer Mathematics, Vol. 94, No. 2, pp. 263--274, 2017.

* Q. X. Kong, X. He, and Y. L. Jiang, “Fast simulation of dynamic heat transfer through building envelope via model order reduction,” Building Simulation, Vol. 10, No. 3, pp. 419--429, 2017.

* D. W. Deng and Y. L. Jiang, “Two-level finite difference methods for simulating the high-dimensional lagging models of heat conduction,” Numerical Functional Analysis and Optimization, Vol. 38, No. 7, pp. 831--860, 2017.

* W. Liu and Y. L. Jiang, “Nonlinear dynamical behaviour in a predator-prey model with harvesting,” East Asian Journal on Applied Mathematics, Vol. 7, No. 2, pp. 376--395, 2017.

* W. Liu and Y. L. Jiang, “Nonlinear dynamical behaviour in a predator-prey model with harvesting,” East Asian Journal on Applied Mathematics, Vol. 7, No. 2, pp. 376--395, 2017.

* P. Yang, K. L. Xu, and Y. L. Jiang, “H2 model order reduction for bilinear systems based on the cross gramian,” IMA Journal of Mathematical Control and Information, Vol. 34, No. 4, pp. 1323--1338, 2017.

* Y. L. Jiang and K. L. Xu, “H2 optimal reduced models of general MIMO LTI systems via the cross Gramian on the Stiefel manifold,” Journal of the Franklin Institute, Vol. 354, No. 8, pp. 3210--3224, 2017.

* K. L. Xu and Y. L. Jiang, “An approach to H_{2, omega} model reduction on finite interval for bilinear systems,” Journal of the Franklin Institute, Vol. 354, No. 16, pp. 7429--7443, 2017.

* C. Chen and Y. L. Jiang, “Lie group analysis and invariant solutions for nonlinear time-fractional diffusion-convection equations,” Communications in Theoretical Physics, Vol. 68, No. 3, pp.295--300, 2017.

* P. Yang and Y. L. Jiang, “H2 optimal model reduction of coupled systems on the Grassmann manifold,” Mathematical Modelling and Analysis, Vol. 22, No. 6, pp. 785--808, 2017.

* Q. Y. Song, Y. L. Jiang, and Z. H. Xiao, “Arnoldi-based model order reduction for linear systems with inhomogeneous initial conditions,” Journal of the Franklin Institute, Vol. 354, No.18, pp. 8570--8585, 2017.

* Y. B. Yang and Y. L. Jiang, “Analysis of two decoupled time-stepping finite-element methods for incompressible fluids with microstructure,” International Journal of Computer Mathematics, Vol. 95, No. 4, pp. 686--709, 2018.

* J. W. Yuan and Y. L. Jiang, “A multi-point parameterized model reduction for large parametric systems by using Krylov-subspace techniques,” Transactions of the Institute of Measurement and Control, Vol. 40, No. 4, pp. 1340--1351, 2018.

* J. W. Yuan and Y. L. Jiang, “A parameterised model order reduction method for parametric systems based on Laguerre polynomials,” International Journal of Control, Vol. 91, No. 8, pp. 1861--1872, 2018.

* X. L. Ding and Y. L. Jiang, “Analytical solutions for multi-term time-space coupling fractional delay partial differential equations with mixed boundary conditions,” Communications in Nonlinear Science and Numerical Simulation, Vol. 65, pp. 231--247, 2018.

* K. L. Xu and Y. L. Jiang, “Reduced H2 optimal models via cross Gramian for continuous linear time-invariant systems,” IET Circuits, Devices & Systems, Vol. 12, No. 1, pp. 25--32, 2018.

* Y. B. Yang and Y. L. Jiang, “An explicitly uncoupled VMS stabilization finite element method for the time-dependent Darcy-Brinkman equations in double-diffusive convection,” Numerical Algorithms, Vol. 78, No. 2, pp. 569--597, 2018.

* C. Chen and Y. L. Jiang, “Simplest equation method for some time-fractional partial differential equations with conformable derivative,” Computers & Mathematics with Applications, Vol. 75, No. 8, pp. 2978--2988, 2018.

* Z. Y. Qiu, Y. L. Jiang, and J. W. Yuan, “Interpolatory model order reduction method for second order systems,” Asian Journal of Control, Vol. 20, No. 1, pp. 312--322, 2018.

* W. Liu and Y. L. Jiang, “Bifurcation of a delayed Gause predator-prey model with Michaelis-Menten type harvesting,” Journal of Theoretical Biology, Vol. 438, pp. 116--132, 2018.

* W. Liu and Y. L. Jiang, “Analysis of a delayed predator-prey system with harvesting,” International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 19, Nos. 3-4, pp. 335--349, 2018.

* J. M. Yang and Y. L. Jiang, “Krylov subspace approximation for quadratic-bilinear differential system,” International Journal of Systems Science, Vol. 49, No. 9, pp. 1950--1963, 2018.

* Z. H. Wang, Y. L. Jiang, and Z. Li, “A trust-region method for optimal H2 model reduction of discrete-time dynamical systems,” Journal of Difference Equations and Applications, Vol. 24, No. 10, pp. 1604--1620, 2018.

* Z. Li, Y. L. Jiang, and K. L. Xu, “Non-linear model-order reduction based on tensor decomposition and matrix product,” IET Control Theory & Applications, Vol. 12, No. 16, pp. 2253--2262, 2018.

* W. G. Wang and Y. L. Jiang, “H2 optimal model order reduction on the Stiefel manifold for the MIMO discrete system by the cross Gramian,” Mathematical and Computer Modelling of Dynamical Systems, Vol. 24, No. 6, pp. 610--625, 2018.

* Y. L. Jiang and Z. Miao, “Quasi-Newton waveform relaxation based on energy method,” Journal of Computational Mathematics, Vol. 36, No. 4, pp. 542--562, 2018.

* Y. L. Jiang and Y. B. Yang, “Semi-discrete Galerkin finite element method for the diffusive Peterlin viscoelastic model,” Computational Methods in Applied Mathematics, Vol. 18, No. 2, pp. 275--296, 2018.

* Y. L. Jiang and Y. B. Yang, “Analysis of some projection methods for the incompressible fluids with microstructure,” Journal of the Korean Mathematical Society, Vol. 55, No. 2, pp. 471--506, 2018.

* Y. L. Jiang, C. Y. Chen, and P. Yang, “Balanced truncation with epsilon-embedding for coupled dynamical systems,” IET Circuits, Devices & Systems, Vol. 12, No. 3, pp. 271--279, 2018.

* Y. L. Jiang and Z. Miao, “Waveform relaxation of partial differential equations,” Numerical Algorithms, Vol. 79, No. 4, pp. 1087--1106, 2018.

* B. Liu, W. Wang, D. H. Kim, Y. S. Li，S. S. Kwon, and Y. L. Jiang, “On practical construction of quality fault-tolerant virtual backbone in homogeneous wireless networks,” IEEE/ACM Transactions on Networking, Vol. 26, No. 1, pp. 412--421, 2018.

* Y. P. Li and Y. L. Jiang, “H2 model order reduction based on gramians of discrete-time bilinear systems,” IMA Journal of Mathematical Control and Information, Vol. 36, No. 3, pp. 963--981, 2019.

* X. L. Wang and Y. L. Jiang, “An efficient hybrid reduction method for time-delay systems using Hermite expansions,” International Journal of Control, Vol. 92, No. 5, pp. 1033--1043, 2019.

* Y. L. Jiang, K. L. Xu, and C. Y. Chen, “Parameterized model order reduction for linear DAE systems via epsilon-embedding technique,” Journal of the Franklin Institute, Vol. 356, No. 5, pp. 2901--2918, 2019.

* K. L. Xu and Y. L. Jiang, “An unconstrained H2 model order reduction optimisation algorithm based on the Stiefel manifold for bilinear systems,” International Journal of Control, Vol. 92, No. 4, pp. 950--959, 2019.

* Z. Miao, Y. L. Jiang, and Y. B. Yang, “Convergence analysis of a parareal-in-time algorithm for the incompressible non-isothermal flows,” International Journal of Computer Mathematics, Vol. 96, No. 7, pp. 1398--1415, 2019.

* C. Chen and Y. L. Jiang, “Lie symmetry analysis and dynamic behaviors for nonlinear generalized Zakharov system,” Analysis and Mathematical Physics, Vol. 9, No. 1, pp. 349--366, 2019.

* C. Chen and Y. L. Jiang, “Invariant solutions and conservation laws of the generalized Kaup-Boussinesq equation,” Waves in Random and Complex Media, Vol. 29, No. 1, pp. 138--152, 2019.

* Y. L. Jiang and C. Chen, “Lie group analysis and dynamical behavior for classical Boussinesq-Burgers system,” Nonlinear Analysis: Real World Applications, Vol. 47, pp. 385--397, 2019.

* W. Liu and Y. L. Jiang, “Bifurcation in a differential-algebra predator-prey system with time lag effects,” East Asian Journal on Applied Mathematics, Vol. 9, No. 1, pp. 122--152, 2019.

* W. Liu and Y. L. Jiang, “Modeling and dynamics of an ecological-economic model,” International Journal of Biomathematics, Vol. 12, No. 3, pp. 1950030 (29 pages), 2019.

* Z. H. Xiao, Y. L. Jiang, and Z. Z. Qi, “Structure preserving balanced proper orthogonal decomposition for second-order form systems via shifted Legendre polynomials,” IET Control Theory & Applications, Vol. 13, No. 8, pp. 1155--1165, 2019.

* Z. Z. Qi, Y. L. Jiang, and Z. H. Xiao, “Structure-preserved model order reduction method for coupled systems via orthogonal polynomials and Arnoldi algorithm,” IET Circuits, Devices & Systems, Vol. 13, No. 6, pp. 879--887, 2019.

* J. Li, Y. L. Jiang, and Z. Miao, “A parareal approach of semi-linear parabolic equations base on general waveform relaxation,” Numerical Methods for Partial Differential Equations, Vol. 35, No. 6, pp. 2017--2043, 2019.

* Y. B. Yang, Y. L. Jiang, and Q. X. Kong, “Two-grid stabilized FEMs based on Newton type linearization for the steady-state natural convection problem,” Advances in Applied Mathematics and Mechanics (Accepted), 2019.

* C. Chen and Y. L. Jiang, “Lie group analysis, exact solutions and new conservation laws for combined KdV-mKdV equation,” Differential Equations and Dynamical Systems (Accepted), 2019.

* J. M. Yang, Y. L. Jiang, and K. L. Xu, “Nonlinear model order reduction with low rank tensor approximation,” Asian Journal of Control (Accepted), 2019.

* Y. B. Yang, Y. L. Jiang, and Q. X. Kong, “A higher order pressure segregation scheme for the time-dependent magnetohydrodynamics equations,” Applications of Mathematics, Vol. 64, No. 5, pp. 531--556, 2019.

* Y. B. Yang and Y. L. Jiang, “Error correction iterative method for the stationary incompressible MHD flow,” Mathematical Methods in the Applied Sciences (Accepted), 2019.

* L. Xu, D. S. Wang, X. Y. Wen, and Y. L. Jiang, “Exotic localised vector waves in a two-component nonlinear wave system,” Journal of Nonlinear Science (Accepted), 2019.

* Y. L. Jiang, J. M. Yang, and K. L. Xu, “Model order reduction for discrete-time linear systems with the discrete-time polynomials,” Japan Journal of Industrial and Applied Mathematics, Vol. 36, No. 3, pp. 1005--1020, 2019.

* Y. L. Jiang, Z. Y. Qiu, and P. Yang, “Structure preserving model reduction of second-order time-delay systems via approximate Gramians,” IET Circuits, Devices & Systems (Accepted), 2019.

* P. Yang, Y. L. Jiang, and K. L. Xu, “A trust-region method for H2 model reduction of bilinear systems on the Stiefel manifold,” Journal of the Franklin Institute, Vol. 356, No. 4, pp. 2258--2273, 2019.

* Z. H. Xiao, Y. L. Jiang, and Z. Z. Qi, “Finite-time balanced truncation for linear systems via shifted Legendre polynomials,” Systems & Control Letters, Vol. 126, pp. 48--57, 2019.

* K. L. Xu and Y. L. Jiang, “Structure-preserving interval-limited balanced truncation reduced models for port-Hamiltonian systems,” IET Control Theory & Applications (Accepted), 2019.

* W. Liu and Y. L. Jiang, “Flip bifurcation and Neimark-Sacker bifurcation in a discrete predator-prey model with harvesting,” International Journal of Biomathematics, Vol. 13, No. 1, pp. 1950093 (37 pages), 2020.

* P. Yang and Y. L. Jiang, “Truncated model reduction methods for linear time-invariant systems via eigenvalue computation,” Transactions of the Institute of Measurement and Control, Vol. 42, No. 10, pp. 1908--1920, 2020.

* W. Liu and Y. L. Jiang, “Hopf bifurcation and singularity induced bifurcation in a Leslie-Gower predator-prey system with nonlinear harvesting,” East Asian Journal on Applied Mathematics, Vol. 10, No. 1, pp. 181--216, 2020.

* Z. Y. Qiu and Y. L. Jiang, “Piecewise polynomial model reduction method for nonlinear systems in time domain,” Asian Journal of Control, Vol. 22, No. 2, pp. 868--878, 2020.

* Z. Y. Qiu and Yao-Lin Jiang, “Epsilon-embedding model reduction method for time-delay differential algebra systems,” Circuits, Systems, and Signal Processing (Accepted), 2020.

* Y. Huang, Y. L. Jiang, and K. L. Xu, “Structure-preserving model reduction of port-Hamiltonian systems based on projection,” Asian Journal of Control (Accepted), 2020.

* Y. B. Yang and Y. L. Jiang, “Unconditional optimal error estimates of linearized backward Euler Galerkin FEMs for nonlinear Schrodinger-Helmholtz equations,” Numerical Algorithms (Accepted), 2020.

* Y. B. Yang, Y. L. Jiang, and Q. X. Kong, “Two-grid stabilized FEMs based on Newton type linearization for the steady-state natural convection problem,” Advances in Applied Mathematics and Mechanics (Accepted), 2020.

* B. Song and Y. L. Jiang, “Analysis of two new parareal algorithms based on the Dirichlet-Neumann/Neumann-Neumann waveform relaxation method for the heat equation,” Numerical Algorithms (Accepted), 2020.

* Z. Miao, Y. L. Jiang, and C. Y. Wang, “Some convergence results of waveform relaxation for a class of second-order quasilinear parabolic equations,” International Journal of Computer Mathematics (Accepted), 2020.

* Z. H. Wang, Y. L. Jiang, and K. L. Xu, “Time domain and frequency domain model order reduction for discrete time-delay systems,” International Journal of Systems Science (Accepted), 2020.

* L. L. Sun, K. L. Xu, and Y. L. Jiang, “Model order reduction based on discrete-time Laguerre functions for discrete linear periodic time-varying systems,” Transactions of the Institute of Measurement and Control (Accepted), 2020.

* J. M. Yang and Y. L. Jiang, “Two-sided model order reduction for two-directional difference system,” Applied Mathematics Letters, Vol. 98, pp. 467--473, 2019.

* Y. L. Jiang and W. G. Wang, “H2 optimal model order reduction of the discrete system on the product manifold,” Applied Mathematical Modelling, Vol. 69, pp. 593--603, 2019.

* Y. L. Jiang, Z. Z. Qi, and P. Yang, “Model order reduction of linear systems via the cross Gramian and SVD,” IEEE Transactions on Circuits and Systems II, Vol. 66, No. 3, pp. 422--426, 2019.

* Y. L. Jiang and K. L. Xu, “Model order reduction of port-Hamiltonian systems by Riemannian modified Fletcher-Reeves scheme,” IEEE Transactions on Circuits and Systems II, Vol. 66, No. 11, pp. 1825--1829, 2019.

* M. J. Gander, Y. L. Jiang, and B. Song, “A superlinear convergence estimate for the parareal Schwarz waveform relaxation algorithm,” SIAM Journal on Scientific Computing, Vol. 41, No. 2, pp. A1148--A1169, 2019.

* Y. L. Jiang and K. L. Xu, “Riemannian modified Polak-Ribiere-Polyak conjugate gradient order reduced model by tensor techniques,” SIAM Journal on Matrix Analysis and Applications, Vol. 41, No. 2, pp. 432--463, 2020.

重要国际会议论文（部分）

* Y. L. Jiang and O. Wing, “A necessary and sufficient condition for the convergence of iterative procedures for solving equations of nonlinear monotone resistive networks,” Proceedings of the 1997 IEEE International Symposium on Circuits and Systems, Vol. II, pp. II861--II864, Hong Kong, 1997.

* Y. L. Jiang and O. Wing, “Splitting techniques to speed up the convergence of waveform relaxation methods for tightly coupled circuit systems,” Proceedings of the 1997 European Conference on Circuit Theory and Design, pp. 1054--1058, Budapest, 1997.

* Y. L. Jiang and O. Wing, “Convergence conditions of waveform relaxation methods for circuit simulation,” Proceedings of the 1998 IEEE International Symposium on Circuits and Systems, Vol. VI, pp. VI232--VI235, Monterey, California, 1998.

* Y. L. Jiang and O. Wing, “Waveform relaxation of linear integral-differential equations for circuit simulation,” Proceedings of ASP-DAC’99 -- The Asia and South Pacific Design Automation Conference 1999, pp. 61--64, Hong Kong, 1999.

* Y. L. Jiang, R. M. M. Chen, and O. Wing, “A waveform bounding algorithm for simulation of RLC circuits,” Proceedings of the 2000 IEEE International Symposium on Circuits and Systems, Vol. V, pp. V461--V464, Geneva, 2000.

* Y. L. Jiang, R. M. M. Chen, and O. Wing, “A waveform relaxation approach to determining periodic responses of linear differential-algebraic equations,” Proceedings of the 2001 IEEE International Symposium on Circuits and Systems, Vol. V, pp. V443--V446, Sydney, 2001.

* Y. L. Jiang, R. M. M. Chen, and O. Wing, “Waveform relaxation operator and its spectra in circuit simulation under periodic excitation,” Proceedings of the 2002 IEEE International Symposium on Circuits and Systems, Vol. II, pp. II225--II228, Arizona, 2002.

* M. J. Gander, Y. L. Jiang, and R. J. Li, “Parareal Schwarz waveform relaxation methods,” Proceedings of the 20th Domain Decomposition Methods Conference, Lecture Notes in Computational Science and Engineering Series, Vol. 91, pp. 451--458, 2013.

* Y. L. Jiang and B. Song, “Coupling parareal and Dirichlet-Neumann/Neumann-Neumann waveform relaxation methods for the heat equation,” Proceedings of the 24th Domain Decomposition Methods Conference, Lecture Notes in Computational Science and Engineering Series, Vol. 125, pp. 405--413, 2018.

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