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S E L E C T E D    J O U R N A L
P U B L I C A T I O N S
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Dr Henry S Y CHAN
DPhil Oxford

Area of Specialism: Mechanics

H S Y Chan, K W Chung and Z Xu, "A Perturbation-Iterative Method for Determining Limit Cycles of Strongly Non-Linear Oscillators", Journal of Sound and Vibration 183 (1995), pp 707-717

Z Xu, H S Y Chan and K W Chung, "Separatrices and Limit Cycles of Strongly Nonlinear Oscillators by the Perturbation-Incremental Method", Nonlinear Dynamics 11(1996), pp 213-233

H S Y Chan, K W Chung and Z Xu, "Stability and Bifurcations of Limit Cycles by the Perturbation-Incremental Method", Journal of Sound and Vibration 206 (1997), pp 589-604

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Professor L K CHAN
PhD Western Ontario

Area of Specialism: Statistical Process Control

L K Chan and M L Wu, "Prioritizing the Technical Measures in Quality Function Deployment", Quality Engineering 10 (3), pp 467-479, 1998

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Professor T Y CHEUNG
PhD Wisconsin

Areas of Specialism: Database Management/Engineering

Cheung T Y and Zeng W, "Invariant-preserving Transformations for the Verification of Place/Transition Systems", IEEE Transactions on Systems, Man and Cybernetics Vol SMC (January 1998), pp 114-121

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Dr Felipe CUCKER PhD Rennes
Areas of Specialism: Complexity and Computation

D Grigoriev and F Cucker, "On the Power of Real Turing Machines over Binary Inputs", SIAM Journal on Computation 26 (1997), pp 243-254

F Cucker, "Real Computations with Fake Numbers", to appear in Journal of Complexity

F Cucker and D Grigoriev, "Complex Lower Bounds for Approximation Algebraic Computation Trees" to appear in Journal of Complexity

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Dr H H DAI
PhD Newcastle Upon Tyne

Areas of Specialism: Linear and Nonlinear Waves

Dai H-H and Cai Z, "Uniform asymptotic analysis for waves in an incompressible elastic rod II. disturbances superimposed on a pre-stressed state", IMA J. Appl. Math 62(1999), pp 1-29

Dai H-H and Cai Z, "Uniform asymptotic analysis for waves in a pre-stressed compressible hyperelastic rod", Acta Mech forthcoming

Bo R, Dai H-H and Wong R, "Uniform asymptotic expansions of an inverse-Laplace-transform integral with applications to problems of wave propagation", to appear in Quart. J. Mech. Appl. Math. (20 pages plus 3 figures).


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Dr X DENG
PhD Stanford University

Area of Specialism: Parallel and Distributed Computing

Deng X and Dymond P, "On Multiprocessor System Scheduling", Journal of Combinatorial Optimization, a special issue on "Scheduling on Parallel/Distributed Systems" Vol. 1, 1998, pp. 377-392

Deng X, Kameda T and Papadimitriou C, "How to Learn an Unknown Environment I: The Rectilinear Case", Journal of the ACM Vol. 45, No. 2, 1998 pp. 215-245

Deng X, Koutsoupias E and McKenzie P, "Competitive Implementation of Parallel Programs", Algorithmica Vol. 23 No. 1, 1999 pp. 14-40


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Dr Daniel W C HO
PhD Salford

Area of Specialism: Control Theory

D L Chu, H C Chan and D W C Ho, "A General Framework for State Feedback Pole Assignment of Singular Systems", International Journal of Control 67 (1997) pp. 135-152

D L Chu, H C Chan and DW C Ho, "Regularization of Singular Systems by Derivative and Proportional Output Feedback", SIAM J. Matrix Anal. Appl. 19 (1998) pp. 21-38

D L Chu and D W C Ho, "Necessary and Sufficient Conditions for the Output Feedback Regularization of Descriptor Systems", IEEE Transactions on Automatic Control forthcoming.

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Dr Benny Y C HON
PhD Southwestern Louisiana

Area of Specialism: Mathematical Modelling

C S Chen, M A Golberg and Y C Hon, "Numerical Justification of Fundamental Solutions and the Quasi-Monte Carlo Method for Poisson-Type Equations", Engineering Analysis with Boundary Elements 22 (1998) pp. 61-69

J Cheng, Y C Hon and M Yamamoto, "Stability in Line Unique Continuation of Harmonic Functions: General Dimensions", Journal of Inverse and Ill-Posed Problems 6 (1998) pp. 319-326

Y C Hon, K F Cheung, X Z Mao and Edward J Kansa, "Multiquadric Solution for Shallow Water Equations", Journal of Hydraulic Engineering forthcoming.

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Dr C W LI
PhD Maryland

Area of Specialism: Stochastic Differential Equations

C W Li, S C Wu and X Q Liu, "Discretization of Jump Stochastic Differential Equations in Terms of Multiple Stochastic Integrals", J. Comput. Math. 16 (1998) pp. 375-384

X Q Liu and C W Li, "Product Expansion for Stochastic Jump Diffusions and its Applications to Numerical Approximation", J. Comput. Applied Math. 107 (1999) forthcoming.

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Dr Y Y LU
PhD MIT

Area of Specialism: Scientific Computation

Lu Y Y, "A Complex Coefficient Rational Approximation of 1+X ", Applied Numerical Mathematics Vol. 27(2) (1998) pp. 141-154

Lu Y Y, "Computing the Logarithm of a Symmetric Positive Definite Matrix", Applied Numerical Mathematics 26(4) (1998) pp. 483-496

Lu Y Y, "One-way Large Range Step Methods for Helmholtz Waveguides", Journal of Computational Physics Vol. 151 (1999) pp. 1-20, .

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Dr W X MA
PhD Academia Sinica, Beijing

Area of Specialism: Integrable Systems

Zhou R G and Ma W X, "New classical and quantum integrable systems related to the MKdV integrable hierarchy", Journal of the Physical Society of Japan Vol.67 (1998) pp. 4045-4050

M Pavlov and Ma W X, "Extending Hamiltonian Operators to Get Bi-Hamiltonian Coupled KdV Systems", Physics Letters A 246 (1998) pp.511-522

Ma W X and Fuchssteiner B, "Algebraic structure of discrete zero curvature equations and master symmetries of discrete evolution equations" Journal of Mathematical Physics Vol.40 (1999) pp. 2400-2418

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Professor K K MEI
PhD Wisconsin

Area of specialism: Electromagnetic Theory

K K Mei, "Differential Formulation of On-Surface Measured Equation of Invariance for 2-D Conducting Scattering" IEEE Microwave and Guided Wave Letters Vol. 8, no. 2, Feb. 1998

Y Liu, K Lan, K K Mei and E N K Yung, "A Fast MEI Scheme for the Computation of Scattering by Very Large Cylinders" Applied Computational Electromagnetics Society Journal Vol. 13, no.2, pp. 213-225, July 1998

Y Liu, K K Mei and E N K Yung, "MEI-MoM Method for Solving Conducting Concave Scttering" Microwave and Optical Technology Letter, Vol. 18, no. 6, Aug.1998 pp.275-277

Y Liu, K K Mei and E K N Yung, "Application of Discrete Periodic Wavelets to Measured Equation of Invariance" IEEE Trans. On Antennas and Propagation, Vol. 46, no. 12, Dec.1998 pp.1842-1844

Y Liu, K Lan and K K Mei, "Time Domain MEI Method for Radiation of Line Sources" Electronics Letters, Vol.35, no. 4, Feb.1999 pp.284-285

K K Mei, "The Development, Evaluation and Future Direction of the Measured Equation of Invariance" Invited Paper, APMC 98, Dec. 1998, pp.721-725

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Professor S SMALE, Member of the National Academy of Sciences (USA)
PhD Michigan

Areas of Specialism: Complexity and Computation

M Shub and S Smale,"On the Intractability of Hilbert's Nullstellensatz and an Algebraic Version of 'NNP?'" Duke Mathematical Journal, 81(1995) pp.47-54

S Smale, "Complexity Theory and Numerical Analysis" Acta Numerica (1997) pp.523-551

F Cucker and S. Smale, "Complexity Estimates Depending on Condition and Round-Off Error" Journal of the Association of Computing Machinery forthcoming 1999

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Dr W W SUN
PhD Windsor

Area of Specialism: Numerical Analysis

Sun W, Chang Q and Jia E "Difference schemes for solving the generalized nonlinear Schrodinger equation" J. Comput Phy. 148, 1999, pp. 397-415

Sun W and Li J "Spectral method of decoupling the vorticity and stream function for the incompressible fluid flows" Comput. Math. Appl. 33, 1999, pp. 35-40

Sun W "The spectral analysis of Hermite cubic spline collocation systems" SIAM J. Numer. Anal. forthcoming

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Professor Roderick WONG
PhD Alberta, FRS (Canada)

Area of Specialism: Applied Analysis

X-S Jin and R Wong "Uniform Asymptotic Expansions for Meixner Polynomials" Constructive Approximation 14(1998), pp.113-150

X-H Jiang and R Wong "Justification of a Perturbation Approximation of the Klein-Gordon Equation" Studies in Applied Mathematics102(1999), pp. 375-417

C-K Qu and R Wong "Best Possible" Upper and Lower Bounds for the Zeros of the Bessel Function Jv(x)" Transactions of the Amer. Math. Soc. 351(1999), pp. 2833-2859

Dr T YANG
PhD UC Davis

Area of Specialism: Partial Differential Equations

Tai-Ping Liu and Tong Yang "L1 Stability for 2x2 systems of hyperbolic conservation laws" Journal of American Mathematics Societyforthcoming 1999

Tai-Ping Liu and Tong Yang "Well-posedness theory for hyperbolic conservation laws" Communications in Pure and Applied Mathematicsforthcoming 1999

Tai-Ping Liu and Tong Yang "A new entropy functional for scaler conservation laws" Communications in Pure and Applied Mathematics forthcoming 1999

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Professor Jason ZHANG
PhD Texas, Austin

Area of Specialism: Optimization

Zhang J and Zhu D "A Bilevel Programming Method for Pipe Network Optimization" SIAM J. Optimization, 6 (1996), pp. 838-857

Zhang J and Chen L "Nonmonotone Levenberg-Marquardt Algorithms and Their Convergence Analysis" Journal of Optimization Theory and Applications 92 (1997), pp. 393-418

Zhang J, Chen L and Deng N "Modified Partial-Update Newton-Type Algorithms for Unary Optimization" Journal of Optimization Theory and Applications 97 (1998), pp. 385-406

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Professor Qiang ZHANG
PhD New York

Areas of Specialism: Computational Fluid Dynamics Mathematical Finance

Q Zhang and S Sohn "Quantitative Theory of Richtmyer-Meshkov Instability in Three Dimensions" ZAMP 50, (1998) pp.1-46

Q Zhang and M J Graham "A Numerical Study of Richtmyer-Meshkov Instability in Cylindrical Geometry" Physics of Fluids 10,(1998) pp.974-992

Q Zhang "Analytical Solutions of Layzer-Type Approach to Unstable Interfacial Fluid Mixing" Physical Review Letters 81, (1998) pp.3391-3394

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Dr D X ZHOU
PhD Zhejiang

Area of Specialism: Wavelets Analysis

D X Zhou "Stability of Refinable Functions, multiresolution analaysis and Haar Bases" SIAM Journal on Anal. 27 (1996), pp 891-904

D X Zhou "Existence of multiple refinable distributions" Michigan Math. J. 44 (1997), pp 317-329

R Q Jia, S D Riemenschneider and D X Zhou "Vector subdivision schemes and multiple wavelets" Mathematics of Computation 67(1998), pp 1533-1563

Gilbert Strang and D X Zhou "Inhomogeneous refinement equations' J. Fourier Anal. Appl. 4(1998), pp 733-747

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