Publications:

Publications:

F. A. Howes and S. Shao, Asymptotic analysis of model problems for a coupled system, Nonlinear Analysis 13, No.9 (1989), 1013-1024.

W. A.  Harris, Jr. and S.  Shao, Refined approximations to the solutions for a coupled system with turning points,  Journal of Differential Equations, 9 (1991), 125-144.

S.  Shao and H. K.  Cheng, The Maxwell transfer equations: Modifications of Grad's system, I, Partial differential equations, Joseph Wiener and Jack K Hale, eds., Longman-Pitman Research Notes in Math 273, (1992), 216-220.

S.  Shao, Asymptotic analysis of an unsteady singularly perturbed system, BAIL V, Proceedings of Sixth International Conference on Boundary and Interior Layers--Computational and Asymptotic Methods, Colorado, (1992), 31-33.

S.  Shao, Asymptotic behavior of solutions of model problems for a coupled system.  Journal of Mathematical Analysis and Applications, 181, (1994), 150-170.

S.  Shao, Boundary and interior layer behavior in a time-dependent singularly perturbed system.  Nonlinear Analysis 22, No.9 (1994), 1105-1119.

S.  Shao, Asymptotic analysis of a differential-algebraic system with shock structure.  Trend and Developments in Ordinary Differential Equations, Yousef Alavi and Po-Fang Hsieh, eds, World Scientific, (1994), 305-314.

S. Shao and R. C. Y.  Chin, An asymptotic-numerical method for a time-dependent singularly perturbed system with turning points, Numerical Methods for Partial Differential Equations, 12 (1996), 441-460.

S. Shao and R. C. Y. Chin, An asymptotic-domain decomposition method for a time-dependent singularly perturbed system, Differential Equations and Applications, P.W. Bates, S.N. Chow, K. Lu and X. Pan eds., International Press, (1997), 269-276.

S. Shao and P. P. C. Yip, Rates of convergence of adaptive step-size for stochastic approximation algorithms, Journal of Mathematical Analysis and Applications, 244, (2000), 333-347.

S.  Shao and P. P. C. Yip, A novel adaptive algorithm with optimum rates of convergence, 3rd Forum on Numerics and Modeling for Partial Differential Equations, NUMPEDS 2000 proceedings, 1-20.

Pratibha Ghatage and Sally Shao, Linear transformation of the unit circle in R^2, The College Mathematics Journal, Vol. 32, No.3, May 2001, 203-205.
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Jiaqi Mo and S.  Shao, The singularly perturbed boundary value problems for higher-order semilinear elliptic equations.  Advances in Mathematics, 30 No.2, (2001) 142-148.

S.  Shao, Asymptotic solutions of unsteady diffusion models for risk reserves. International Journal of Mathematics and Mathematical Sciences, Vol. 35 (2003) 2221-2240.

S.  Shao and C.L. Chang, Asymptotic and numerical solutions for diffusion models for compounded risk reserves with dividend payments.  International Journal of Mathematics and Mathematical Sciences, Vol. 14 (2004) 721-739.

S.  Shao, Symbolic computation with Maple for eddy current response to variation in surface conductivity with depth.  MSW 2004, 1-21.

Leong Kwan Li and S.  Shao, A neural network approach for global optimization with applications to nonlinear least square problems.   Proceedings of Neural, Parallel and Scientific Computations, 3 (2006) 130-134.

Leong Kwan Li and S.  Shao,A study of the leaky-integrator recurrent neural dynamics and its applications.   Dynamics of Continuous, Discrete and Impulsive Systems, Ser. A, Math. Anal., (2006), suppl., 353-366.

S.  Shao, Asymptotic analysis and domain decomposition for singularly perturbed system with shock-interior layer interactions.   Nonlinear Analysis, Vol. 66, 2 (2007), 271-287.

Leong Kwan Li and S. Shao, Dynamic Properties of Recurrent Neural Networks and Its Applications. International Journal of Pure and Applied Mathematics, Vol. 39, 4 (2007), 545-562.

Leong Kwan Li, S. Shao and Teodora Zheleva, A State Space Search Algorithm and Its Application to Learning Short-Term Exchange Rates. Applied Mathematical Sciences, Vol. 2, 35, (2008), 1705-1728.

Leong Kwan Li and S. Shao, A Neural Network Approach for Global Optimization with Applications. Neural Network World, Vol. 18, 5 (2008),  365-379.  

Wankun Zhou, S. Shao and Zhiqiang Gao, A Stability Study of Active Disturbance Rejection Control Problem by a Singular Perturbation Approach.  Applied Mathematical Sciences, Vol. 3, no. 10, (2009), 491 - 508.

Leong-kwan Li , Sally Shao and K. F. Cedric Yiu, Nonlinear Dynamical System Modeling Via Recurrent Neural Networks and A Weighted State Space Search Algorithm. Journal of Industrial and Management Optimization, Volume 7, Number 2, May (2011), 385-400.

Leong Kwan Li and S. Shao, Discrete-Time Recurrent Neural Networks and Its Application to Compression of Infra-Red Spectrum. Neural Network World, Vol. 21, 5 (2011) 393-406.

Leong Kwan Li, Sally Shao and Ka - Fai. Cedric Yiu, A New Optimization Algorithm for Single Hidden Layer Feedforward Neural Networks, Applied Soft Computing, Vol. 13, Issue 5, May 2013, 2857-2862.

Leong Kwan Li and Sally Shao, Convergence Analysis of the Weighted State Space Search Algorithm for Recurrent Neural Networks. Numerical Algebra, Control, and Optimization, Vol. 4, no. 3, September, 2014, 193-207.

S. Shao and Z. Gao, On the Conditions of Exponential Stability in Active Disturbance Rejection Control Based on Singular Perturbation Analysis.  International J. of Control, (Online version is currently available:
DOI: 10.1080/00207179.2016.1236217), in press.