** Yao-Lin Jiang, Ph.D., Professor **

** Changjiang Scholar **** Distinguished Professor in China**

** School of Mathematics and Statistics**

** Xi'an, Shaanxi 710049, China**** **

** Phone: 0086-29-82665512**

** Fax: 0086-29-83237910**

** E-mail: yljiang@mail.xjtu.edu.cn **

** Home-page: http://yljiang.gr.xjtu.edu.cn**

Recent Research Interests

New Applied and Numerical Mathematics Methods; Numerical Solutions of Partial Differential Equations (or with Control Problems); Model-Order Reduction of Large Scale Systems; Waveform Relaxation and Parallel in Time for Differential Equations; Finite Element Methods; Riemann Optimization and Tensor Computations; Circuit Simulation; Building Simulation; Simulations in Machine Leaning and Artificial Intelligence; Parallel Processing for Engineering Problems.

Education Background

1996 – 1997:

Post-Doctoral Fellow of the Department of Information Engineering at the Chinese University of Hong Kong (CUHK). This fellowship is a special scheme at CUHK.

1992 – 1994:

Post-Doctoral Fellow of the Institute of Engineering Mechanics at the Xi’an Jiaotong University. This fellowship is a national scheme in China.

1990 – 1992:

Ph. D. Student of the Department of Mathematical Sciences at the Xi’an Jiaotong University.

1985 – 1987:

M. S. Student of the Department of Mathematical Sciences at the Xi’an Jiaotong University.

1981 – 1985:

B. S. Student of the Department of Mathematics at the Sichuan University.

Employment Background

1998 – Present:

Full Professor of the School of Mathematics and Statistics at the Xi’an Jiaotong University. Supervisor of Ph. D. Students in Applied Mathematics in China.

1994 – 1997:

Associate Professor of the Department of Mathematical Sciences at the Xi’an Jiaotong University.

1993 – 1994:

Associate Professor of the Institute of Engineering Mechanics at the Xi’an Jiaotong University.

1987 – 1990:

Assistant Lecturer of the Department of Mathematical Sciences at the Xi’an Jiaotong University.

Academic Visit Background (Long Term)

2004, 11 - 2005, 11:

Visit to the Department of Computer Science at the Katholieke Universiteit Leuven (KULeuven) as a Senior Research Fellow of the Research Council of the KULeuven (Belgium).

1999, 01 - 2000, 07:

Visit to the Department of Electronic Engineering and the School of Creative Media at the City University of Hong Kong (CityU) as a Research Fellow of the CityU (Hong Kong).

1996, 05 - 1997, 06:

Visit to the Department of Information Engineering at the Chinese University of Hong Kong (CUHK) as a Post-Doctoral Fellow of the CUHK (Hong Kong).

Academic Positions

* Chairman of Department of Mathematical Sciences (2004-2008).

* Chairman of the Shaanxi Society of Industry and Applied Mathematics (SSIAM) (2006-2021).

* Administrative Director of the China Society of Industry and Applied Mathematics (CSIAM) (2004-2016).

* Associate Editor of Chinese Journal of Engineering Mathematics (2007-).

* Deputy of Editor of Advances in Applied Mathematics (Hans) (2012-).

* Associate Editor of Journal of Numerical Methods and Computer Applications (2014-2017).

* Associate Editor of International Journal of Mathematical Physics (2018-).

Honours and Awards

* The Characteristics Inequalities in Banach Spaces and Their Applications: the first class award of sciences and technologies (96-107, 1996), the Education Department of the Shaanxi Province; and the second class award of natural sciences (2003-099, 2003), the State Education Ministry of China.

* The Returned Overseas Excellent Chinese Scholar of the Shaanxi Province in China (1998).

* The Excellent Young Teacher of the State Education Ministry of China (2001).

* The Kuashiji Excellent Researcher of the State Education Ministry of China (2002).

* Tengfei Distinguished Professor of the Xi’an Jiaotong University (2005).

* The Expert of Winning Special Allowance of the Government of China (2006).

* The Award of Wang Kuancheng (2007).

* Changjiang Scholar Distinguished Professor of the State Education Ministry of China (2011).

* Leading Scholar among the First at Xi'an Jiaotong University (2015).

Research Funding

* Theory and Application of a New Class of Space-time Parallel Methods for Time-dependent Partial Differential Equations (11871393): 2019--2022, a project of the Natural Science Foundation of China (NSFC), principal investigator.

* Research on Optimal Order Reduction Methods Based on Differential Manifolds for Control Systems (61663043): 2017--2020, a project of the Natural Science Foundation of China (NSFC), principal investigator.

* Mathematical Methods on Numerical Simulation for Very Large Scale Integrated Circuits (11371287): 2014--2017, a project of the Natural Science Foundation of China (NSFC), principal investigator.

* New Computational Methods of Large Time-dependant Differential Equations (11071192): 2011--2013, a project of the Natural Science Foundation of China (NSFC), principal investigator.

* Computational Theory and Parallel Implementation of Transient Simulation on Large Complex Systems (10771168): 2008--2010, a project of the Natural Science Foundation of China (NSFC), principal investigator.

* Theory and Method of Numerical Algorithms on Modern High-Speed Circuit Simulation (60472003): 2005--2007, a project of the Natural Science Foundation of China (NSFC), principal investigator.

* Computing Theory on Periodic Solutions of Large Dynamic Equations (10171080): 2002--2004, a project of the Natural Science Foundation of China (NSFC), principal investigator.

* The Waveform Relaxation (WR) Methods for Differential - Algebraic Equations (19801027): 1999--2001, a project of the Natural Science Foundation of China (NSFC), principal investigator.

* New Space-Time Parallel Domain Decomposition Algorithms of Large Scale Systems (2010DFA14700): 2011--2014, a project of the International Science and Technology (S&T) Cooperation Program of China, principal investigator.

* High Performance Scientific Computing -- Basic and Theoretic Research on Novel Numerical Algorithms (2005CB321701): 2005--2010, a subproject of the National Basic Research Program of China (973 Program, 2005CB321701), principal investigator.

* Research and Implementation of Parallel Algorithms (2001AA111042): 2001--2003, a project of the National High Technology Research and Development Program of China (863 Program), principal investigator.

* A New Class of Extensible Parallel Methods and Their Applications in Green Building Simulation (2019KWZ-08): 2019--2021, a key project of the International Science and Technology Cooperation Program of Shaanxi Research & Development Plan, principal investigator.

* The Kuashiji Excellent Researcher Funding (2002-48-646): 2003--2005, a special excellent program of the State Education Ministry of China, principal investigator.

* Theoretical Study of Transient Computation for Large Dynamic Systems (1887; Type: A): 2002--2004, an excellent young teachers program of the State Education Ministry of China, principal investigator.

* Numerical Simulation of VLSI Circuits (1998-679): 1999--2001, a project of the Scientific Research Foundation for the Returned Overseas Chinese Scholars by the State Education Ministry of China, principal investigator.

* Hybrid Modeling and Basic Algorithms for Seismic Data Inversion of Tight Oil and Gas Reservoirs (91330204)：2014--2017, a key plan project of the Natural Science Foundation of China (NSFC), main attendee.

* Control Theory and Technology in Space Flight Systems (19632001): 1997--2000, a key project of the Natural Science Foundation of China (NSFC), main attendee.

* Parallelizing a Class of CAD Software for Running on Ubiquitous Heterogeneous Network of Environment (9040268): 1998--2001, a key project of the Hong Kong Research Grants Council (RGC), main attendee.

Selected Publications (Books, Journal papers)

* Y. L. Jiang, Waveform Relaxation Methods, Science Press, Beijing, 2009. (In Chinese)

* Y. L. Jiang, Model Order Reduction Methods, Science Press, Beijing, 2010. (In Chinese))

* Y. L. Jiang, New Methods in Engineering Mathematics, Higher Education Press, Beijing, 2013. (In Chinese)

* Y. L. Jiang and C. Chen, Lie Group Methods of Differential Equations, Science Press, Beijing, 2021. (In Chinese)

* X. L. Lin and Y. L. Jiang, Modern Numerical Analysis, National Defense Industry Press, Beijing, 2004. (In Chinese)

* 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 Z. L. Huang, “A parallel approach for computing complex eigenvalue problems,” IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E83-A, No. 10, pp. 2000--2008, 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.

* 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.

* 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, Article 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, Article 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 accelerated 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, Article 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 the 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, Article 455005 (17 pages), 2014.

* B. Song and 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, Article 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.

* 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 parameterised 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 parameterized 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 optimization 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. 2, Article 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.

* 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. 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.

* 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.

* 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: Express Briefs, 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: Express Briefs, 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, Z. Y. Qiu, and P. Yang, “Structure preserving model reduction of second-order time-delay systems via approximate Gramians,” IET Circuits, Devices & Systems, Vol. 14, No. 2, pp. 130--136, 2020.

* K. L. Xu and Y. L. Jiang, “Structure-preserving interval-limited balanced truncation reduced models for port-Hamiltonian systems,” IET Control Theory & Applications, Vol. 14, No. 3, pp. 405--414, 2020.

* Y. B. Yang and Y. L. Jiang, “Error correction iterative method for the stationary incompressible MHD flow,” Mathematical Methods in the Applied Sciences, Vol. 43, No. 2, pp. 750--768, 2020.

* L. Xu, D. S. Wang, X. Y. Wen, and Y. L. Jiang, “Exotic localized vector waves in a two-component nonlinear wave system,” Journal of Nonlinear Science, Vol. 30, No. 2, pp. 527--564, 2020.

* 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, Vol. 28, No. 4, pp. 827--849, 2020.

* 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, Article 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 Y. L. Jiang, “Epsilon-embedding model reduction method for time-delay differential algebra systems,” Circuits, Systems, and Signal Processing, Vol. 39, No. 11, 5390--5405, 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, Vol. 12, No. 2, pp. 407--435, 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, Vol. 51, No. 12, pp. 2134--2149, 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, Vol. 42, No. 16, pp. 3281--3289, 2020.

* Z. Z. Qi, Y. L. Jiang, and Z. H. Xiao, “Dimension reduction for K-power bilinear systems using orthogonal polynomials and Arnoldi algorithm,” International Journal of Systems Science (Accepted), 2021.

* J. Li, Y. L. Jiang, and Z. Miao, “Analysis of the parareal approach based on discontinuous Galerkin method for time-dependent Stokes equations,” Numerical Methods for Partial Differential Equations (Accepted), 2021.

* Y. B. Yang and Y. L. Jiang, “Unconditional optimal error estimates of linearized second-order BDF Galerkin FEMs for the Landau-Lifshitz equation,” Applied Numerical Mathematics, Vol. 159, pp. 21--45, 2021.

* Y. L. Jiang, Z. Miao, and Y. Lu, “Waveform relaxation methods for Lie-group equations,” Journal of Computational Mathematics (Accepted), 2021.

* 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.

* Y. L. Jiang and K. L. Xu, “Frequency-limited reduced models for linear and bilinear systems on the Riemannian manifold,” IEEE Transactions on Automatic Control (Accepted), 2021.

* Y. L. Jiang and J. M. Yang, “Asymptotic waveform evaluation with higher order poles,” IEEE Transactions on Circuits and Systems I: Regular Papers (Accepted), 2021.