LIST OF PUBLICATIONS ON
INTERPOLATION, APPROXIMATION, AND COMPUTATION

           (as of 1 January 2006)

Books:  Approximate Solutions of Operator Equations (M.J.Chen/Z.Y.Chen/GC)

               Wavelets and Splines - Athens 2005 (GC/M.J.Lai)

Papers:

1. Refereed Journal Papers

[27] “Exact traveling wave solutions to the generalized Kuramoto-Sivashinsky equation,” (C.P.Li/GC/S.Zhao), Latin Amer. Applied Research, Vol. 34, pp. 65-68, Jan. 2004.
[26] “Oscillations of second-order nonlinear partial differential equations,” (S.T.Liu/GC), Rocky Mountain J. of Math.,
Vol. 34, pp. 699-711, July 2004.
[25] “Asymptotic behavior and oscillation of delay partial difference equations with positive and negative coefficients,” (S.T.Liu/B.G.Zhang/GC), Rocky Mountain J. of Math, Vol. 33, pp. 953-970, Oct. 2003.
[24] “Linearization, stability, and oscillation of the discrete delay logistic system,” (GC/S.T.Liu), IEEE Trans. on Circ. Sys.-I, Vol. 50, pp. 822-826, June 2003.
[23] “Linearization and stability of generalized one-dimensional delay discrete logistic systems,” (S.T.Liu/GC/F.Q.Deng), Control Theory and Applications, Vol.19. No.3, pp. 419-422, June 2002.

[22] “Numerical computation of a damped slewing beam with tip mass,”   (GC/Z.Y.Chen/Y.S.Xu), Comm. in Numer. Meth. in Engr., Vol. 15, pp. 249-261, 1999.
[21] “Intelligent control of a planning system for astronaut training,” (J.Ortiz/GC), IEEE Trans. on Aero. Elect. Sys., Vol. 35, 1999.
[20] “Model conversions of uncertain linear systems using interval multipoint Pade approximation,” (F.Feng/L.S.Shieh/GC), Appl. Math. Model., Vol. 21, pp. 233-244, 1997.
[19] “A parallel algorithm for evaluating general linear recurrence equations,” (M.Lu/X.Qiao/GC), Circ. Sys. Sign. Proc., Vol. 15, pp. 481-504, 1996.
[18] “Complexity analysis of wavelet signal decomposition and reconstruction,” (C.K.Koc/GC/C.K.Chui), IEEE Trans. on Aero. Elect. Sys., Vol. 30, pp. 910-918, 1994.
[17] “Computing matrix-valued Nevanlinna-Pick interpolation,” (GC/C.K.Koc), J. of Linear Algebra & Appl., Vol. 203/204, pp. 253-263, 1994.
[16] “A fast algorithm for scalar Nevanlinna-Pick interpolation,” (C.K.Koc/GC), Numerische Mathematik, Vol. 64, pp. 115-126, 1993.
[15] “Parallel computation of the modified extended Kalman filter,” (M.Lu/ X.Qiao/GC), Int. J. of Comput. Math., Vol. 45, pp. 69-87, 1993.
[14] “A unified approach to optimal image interpolation problems based on linear partial differential equation models,” (GC/R.J.P.de Figueiredo), IEEE Trans. on Imag. Proc., Vol. 2, pp. 41-49, 1993.
[13] “Computations of limit cycles via higher-order harmonic balance approximation,” (J.Moiola/GC), IEEE Trans. on Auto. Contr., Vol. 38, pp. 782-790, 1993.
[12] “Frequency domain approach to computation and analysis of bifurcations and limit cycles: a tutorial” (J.L.Moiola/GC), Int. J. of Bif. Chaos, Vol. 3, pp. 843-867, 1993.
[11] “Optimal interpolation of scattered data over a circular domain with boundary conditions,” (GC) Acta Comput. Math., Vol. 10, pp. 339-347, 1992.
[10] “A parallel square-root algorithm for the modified extended Kalman filter,” (M.Lu/X.Qiao/GC), IEEE Trans. on Aero. Elect. Sys., Vol. 28, pp. 153-163, 1992.
[9] “Convergence analysis for inexact mechanization of Kalman filters,” (GC), IEEE Trans. on Aero. Elec. Sys., Vol. 28, pp. 612-621, 1992.
[8] “Optimal Hankel-norm approximation approach to model reduction of large-scale Markov chain,” (GC/C.K.Chui/Y.Yu), Int. J. of Sys. Sci., Vol. 23, pp. 1289-1297, 1992.
[7] “Analytic closed-form solutions for suboptimal trajectory planning of single-link flexible-joint manipulators,” (GC), IEEE Trans. on Robot. Automa., Vol. 8, pp. 658-662, 1992.
[6] “Closed-form solutions of a general inequality-constrained LQ optimal control problem,” (GC), Appl. Anal.: Int. J., Vol. 41, pp. 257-279, 1991.
[5] “Parallel algorithms for Nevanlinna-Pick interpolation: the scalar case,” (C.K. Koc/GC), Int. J. of Comput. Math., Vol. 40, pp. 99-115, 1991.
[4] “PDLg splines defined by partial differential operators with initial and boundary value conditions,” (R.J.P. de Figueiredo/GC), SIAM J. of Numer. Anal., Vol. 27, pp. 519-528, 1990.
[3] “On the information-based complexity of optimal reconstruction for nonlinear systems,” (GC), Sys. Contr. Letts., Vol. 14, pp. 161-167, 1990.
[2] “Construction of spline quasi-interpolation schemes,” (GC/C.K.Chui/M.J.Lai) J. of Approx. Th. Appl., Vol. 4, pp. 61-75, 1988.
[1] “An efficient algorithm for reducing transfer functions to coprime forms,” (C.K.Chui/GC), IEEE Trans. on Auto. Contr., Vol. 32, pp. 521-523, 1987.

2. Invited Papers in Edited Books

[4] “Representation, Approximation and Identification,” (GC), book chapter, in CRC Handbook of Circuits and Filters, CRC Pub., Boston, pp. 973-1006, 1995.
[3] “A fast algorithm for matrix-valued Nevanlinna-Pick interpolation,” (GC/ C.K.Koc), in Approximation Theory: VIII, Vol. 1: Approximation and Interpolation, World Scientific  Pub., Singapore, pp. 129-143, 1995.
[2] “Optimal recovery of certain nonlinear analytic mappings,” (GC), in Optimal Recovery, ed. by B.Bojanov and H.Wozniakowski, Nova Sic. Pub., New York, pp. 141-144, 1992.
[1] “Optimal interpolation on a generalized Fock space of analytic functions,” (J.P.deFigueiredo/GC) in Approximation Theory: VI, ed. by C.K.Chui et al., Academic Press, New York, Vol. 1, pp. 247-250, 1989.

3. Refereed Conference Papers in Proceedings

[12] “A numerical algorithm for computing Neimark-Saker bifurcation parameters,” (T.Ueta/GC/T.Yoshinaga/H.Kawakami), Proc. of IEEE Int'l Symp. on Circ. Sys., Orlando, FL, May 30 -June 2 1998.
[11] “A new numerical algorithm for Neimark-Saker bifurcation,” (T.Ueta/ T.Kousaka/GC), Proc. of Shikoku-Section Joint Convention of Institute of Electrical and Related Engineers, p.4, Tokushima University, Japan, Oct. 16, 1998.
[10] “Recursive filtering for discrete-time nonlinear systems,” (H.Wu/J.Lu/GC), Proc. of the Engr & Arch. Symp., Prairie View, TX, Feb. 6-7, 1997, pp. 197-203.
[9] “Optimal trajectory planning for robotic manipulators: A spline-wavelet approach,” (L.Cheng/GC), Proc. of the Engr & Arch. Symp., Prairie View, TX, Feb. 5-6, 1996, pp. 241-246.
[8] “An effective algorithm for inequality-constrained optimal trajectory planning of robotic manipulators,” (Z.M.Chen/GC), Proc. of the Engr & Arch. Symp., Prairie View, TX, Feb. 5-6, 1996, pp. 235-240.
[7] “An efficient semi-analytic computational algorithm for optimal trajectory planning of robotic manipulators,” (Y.Li/GC/Z.Chen), Proc. of the 1994 SCS Simulation Multi-Conference, San Diego, CA, April 11-13, 1994, pp. 403-412.
[6] “Optimal image recovery from noisy data based on differential equation models,” (Y.Xiong/GC), Proc. of the 1994 SCS Simulation Multi-Conference, San Diego, CA, April 11-13, 1994, pp. 460-465.
[5] “On the calculation of limit cycles in nonlinear feedback systems,” (J.L.Moiola/GC), Proc. of the Int. Simulation Technology Conf., SimTec 92, Nov. 4-7, 1992, Clear Lake, Texas, pp. 201-206.
[4] “On Hankel-norm approximation of large-scale Markov chains,” (GC/C.K.Chui/Y.Yu), Proc. of the 1991 Amer. Contr. Conf., Boston, June 26-28, 1991, Vol. 2, pp. 1664-1665.
[3] “Parallel computation of the modified extended Kalman filter,” (M.Lu/X.Qiao/GC), Proc. of the 1991 Int. Conf. on Paral. Process., St. Charles, IL, Aug. 12-16, 1991, Vol. 3,   pp. 320-321.
[2] “A decoupling Kalman filtering technique for optimal estimation of Markov chains,” (GC/Y.Yu/R.J.P.de Figueiredo), Proc. of the 29th Contr. Decis. Conf., Honolulu, Hawaii,   Dec. 5-7, 1990, Vol. 5, pp. 2902-2903.
[1] “Optimal image reconstruction based on general PDE models,” (GC/R.J.P. de Figueiredo), Proc. of the 1989 IEEE Int. Conf. on ASSP., Glasgow, Scotland, UK, May 23-26, 1989, Vol. 3, pp. 1425-1428.

4. Invited Addresses Published in Conference Proceedings

[1] “Rational approximation theory and its applications in systems engineering,” (C.K.Chui/GC) Proc. of the 33rd Contr. Decis. Conf., Orlando, FL, Dec. 14-16, 1994, pp. 1487-1492.