Department of Mathematics

Research Output

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2006

Synchronization and asynchronization in a lattice of Coupled Lorenz-type Maps

Lin, W. W., Shieh, S. F. & Wang, Y. I. Q., 2006 Feb, In : International Journal of Bifurcation and Chaos. 16, 2, p. 269-280 12 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

The asymptotic behavior of solutions of the buffered bistable system

Guo, J. S. & Tsai, J. C., 2006 Jul 1, In : Journal of Mathematical Biology. 53, 1, p. 179-213 35 p.

Research output: Contribution to journalArticle

9 Citations (Scopus)

The behavior of the interphase heat-transfer for the fast-igniting catalytic converter

Chang, Y. H. & Jau, G. C., 2006 Mar, In : Taiwanese Journal of Mathematics. 10, 3, p. 807-827 21 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

The behavior of the solution for a mathematical model for analysis of the cell cycle

Chang, Y-H. & Jau, G. C., 2006 Dec 1, In : Communications on Pure and Applied Analysis. 5, 4, p. 779-792 14 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

The brain computer interface using flash visual evoked potential and independent component analysis

Lee, P. L., Hsieh, J. C., Wu, C. H., Shyu, K. K., Chen, S. S., Yeh, T. C. & Wu, Y. T., 2006 Oct 1, In : Annals of Biomedical Engineering. 34, 10, p. 1641-1654 14 p.

Research output: Contribution to journalArticle

38 Citations (Scopus)

The convex and monotone functions associated with second-order cone

Chen, J. S., 2006 Aug 1, In : Optimization. 55, 4, p. 363-385 23 p.

Research output: Contribution to journalArticle

31 Citations (Scopus)

The index of reducibility of parameter ideals and mostly zero finite local cohomologies

Liu, J. C. & Rogers, M. W., 2006 Nov 1, In : Communications in Algebra. 34, 11, p. 4083-4102 20 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)
38 Citations (Scopus)

Two classes of merit functions for the second-order cone complementarity problem

Chen, J-S., 2006 Dec 1, In : Mathematical Methods of Operations Research. 64, 3, p. 495-519 25 p.

Research output: Contribution to journalArticle

37 Citations (Scopus)

Wide-sense nonblocking for multi-logdN networks under various routing strategies

Chang, F. H., Guo, J-Y. & Hwang, F. K., 2006 Mar 7, In : Theoretical Computer Science. 352, 1-3, p. 232-239 8 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)
2005

A continuation BSOR-Lanczos-Galerkin method for positive bound states of a multi-component Bose-Einstein condensate

Chang, S. M., Kuo, Y. C., Lin, W. W. & Shieh, S-F., 2005 Dec 10, In : Journal of Computational Physics. 210, 2, p. 439-458 20 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)

A generalized structure-preserving doubling algorithm for generalized discrete-time algebraic Riccati equations

Hwang, T. M., Chu, E. K. W. & Lin, W. W., 2005 Sep 20, In : International Journal of Control. 78, 14, p. 1063-1075 13 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)

Algebraic identification for optimal nonorthogonality 4 × 4 complex space-time block codes using tensor product on quaternions

Chen, M. Y., Li, H. C. & Pei, S. C., 2005 Jan 1, In : IEEE Transactions on Information Theory. 51, 1, p. 324-330 7 p.

Research output: Contribution to journalArticle

12 Citations (Scopus)

An almost-linear time and linear space algorithm for the longest common subsequence problem

Guo, J. Y. & Hwang, F. K., 2005 May 16, In : Information Processing Letters. 94, 3, p. 131-135 5 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)

An unconstrained smooth minimization reformulation of the second-order cone complementarity problem

Chen, J. S. & Tseng, P., 2005 Nov 1, In : Mathematical Programming. 104, 2-3, p. 293-327 35 p.

Research output: Contribution to journalArticle

126 Citations (Scopus)

A simple proof of the Aztec diamond theorem

Eu, S. P. & Fu, T. S., 2005 Apr 20, In : Electronic Journal of Combinatorics. 12, 1 R

Research output: Contribution to journalArticle

Open Access
19 Citations (Scopus)

A structure-preserving doubling algorithm for continuous-time algebraic Riccati equations

Chu, E. K. W., Fan, H-Y. & Lin, W. W., 2005 Feb 1, In : Linear Algebra and Its Applications. 396, 1-3, p. 55-80 26 p.

Research output: Contribution to journalArticle

64 Citations (Scopus)

Bifurcation analysis of a two-component Bose-Einstein condensate

Kuo, Y. C., Lin, W. W. & Shieh, S-F., 2005 Nov 15, In : Physica D: Nonlinear Phenomena. 211, 3-4, p. 311-346 36 p.

Research output: Contribution to journalArticle

13 Citations (Scopus)

Canonical heights, transfinite diameters, and polynomial dynamics

Baker, M. H. & Hsia, L. C., 2005 Aug, In : Journal fur die Reine und Angewandte Mathematik. 585, p. 61-92 32 p.

Research output: Contribution to journalArticle

33 Citations (Scopus)
3 Citations (Scopus)

Energy states of vertically aligned quantum dot array with nonparabolic effective mass

Hwang, T. M. & Wang, W., 2005 Jan 1, In : Computers and Mathematics with Applications. 49, 1, p. 39-51 13 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

Gauss-Seidel-type methods for energy states of a multi-component Bose-Einstein condensate

Chang, S. M., Lin, W. W. & Shieh, S-F., 2005 Jan 1, In : Journal of Computational Physics. 202, 1, p. 367-390 24 p.

Research output: Contribution to journalArticle

36 Citations (Scopus)

Global and non-global solutions of a nonlinear parabolic equation

Guo, J. S., Guo, Y. J. L. & Wang, C. J., 2005 Jun, In : Taiwanese Journal of Mathematics. 9, 2, p. 187-200 14 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Integer points on elliptic curves

Chi, W. C., Lai, K. F. & Tan, K. I. S., 2005 Dec, In : Pacific Journal of Mathematics. 222, 2, p. 237-252 16 p.

Research output: Contribution to journalArticle

Jacobi-Davidson methods for cubic eigenvalue problems

Hwang, T. M., Lin, W. W., Liu, J. L. & Wang, W., 2005 Sep, In : Numerical Linear Algebra with Applications. 12, 7, p. 605-624 20 p.

Research output: Contribution to journalArticle

37 Citations (Scopus)

Normwise scaling of second order polynomial matrices

Fan, H. Y., Lin, W. W. & Van Dooren, P., 2005 Mar 14, In : SIAM Journal on Matrix Analysis and Applications. 26, 1, p. 252-256 5 p.

Research output: Contribution to journalArticle

37 Citations (Scopus)

On the enumeration of parking functions by leading terms

Eu, S. P., Fu, T. S. & Lai, C. J., 2005 Oct 1, In : Advances in Applied Mathematics. 35, 4, p. 392-406 15 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

On the geometric flow of kirchhoff elastic rods

Lin, C. C. & Schwetlick, H. R., 2005 Jun 13, In : SIAM Journal on Applied Mathematics. 65, 2, p. 720-736 17 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)

Pole assignment in descriptor periodic systems

Fan, H-Y., Lin, W. W. & Xu, S., 2005 Oct 1, In : Science in China, Series A: Mathematics. 48, 10, p. 1309-1332 24 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Prevalence of and attitude toward urinary incontinence in Taiwanese women

Hsieh, C. H., Su, T. H. & Chang, S. T., 2005 Feb, In : International Journal of Gynecology and Obstetrics. 88, 2, p. 152-153 2 p.

Research output: Contribution to journalArticle

10 Citations (Scopus)

Propagation of viscous shock waves away from the boundary

Lan, C. Y., Lin, H. E. R., Liu, T. P. & Yu, S. H., 2005 Mar 29, In : SIAM Journal on Mathematical Analysis. 36, 2, p. 580-617 38 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Refined Chung-Feller theorems for lattice paths

Eu, S. P., Fu, T. S. & Yeh, Y. N., 2005 Oct 1, In : Journal of Combinatorial Theory. Series A. 112, 1, p. 143-162 20 p.

Research output: Contribution to journalArticle

15 Citations (Scopus)

Split-plot microarray experiments: Issues of design, power and sample size

Tsai, P. W. & Lee, M. L. T., 2005 Jan 1, In : Applied Bioinformatics. 4, 3, p. 187-194 8 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

The structure of solutions for a third order differential equation in boundary layer theory

Guo, J. S. & Tsai, J. C., 2005 Oct, In : Japan Journal of Industrial and Applied Mathematics. 22, 3, p. 311-351 41 p.

Research output: Contribution to journalArticle

15 Citations (Scopus)

Wave patterns for shallow water equations

Lan, C. Y. & Lin, H. E., 2005 Jun, In : Quarterly of Applied Mathematics. 63, 2, p. 225-249 25 p.

Research output: Contribution to journalArticle

2004

Analysis of nonsmooth vector-valued functions associated with second-order cones

Chen, J. S., Chen, X. & Tseng, P., 2004 Sep 1, In : Mathematical Programming. 101, 1, p. 95-117 23 p.

Research output: Contribution to journalArticle

75 Citations (Scopus)

Analysis of paired comparison data using Mx

Tsai, R. C. & Wu, T. L., 2004 Jan 1, In : Structural Equation Modeling. 11, 1, p. 73-91 19 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Asymptotic behaviors in a transiently chaotic neural network

Chen, S. S. & Shih, C. W., 2004 Apr, In : Discrete and Continuous Dynamical Systems. 10, 3, p. 805-826 22 p.

Research output: Contribution to journalArticle

Open Access
8 Citations (Scopus)

Dynamics for discrete-time cellular neural networks

Chen, S. S. & Shih, C. W., 2004 Aug, In : International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 14, 8, p. 2667-2687 21 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)

Effects of small viscosity and far field boundary conditions for hyperbolic systems

Lin, H. E., Liu, J. G. & Xu, W. Q., 2004 Jun, In : Communications on Pure and Applied Analysis. 3, 2, p. 267-290 24 p.

Research output: Contribution to journalArticle

Open Access

Eigenvalue problems of a two-dimensional Schrödinger operator with nonparabolic effective mass

Lin, W. W. & Shieh, S. F., 2004 Feb 1, In : Journal of Mathematical Physics. 45, 2, p. 576-584 9 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Equivalence classes of Vogan diagrams

Chuah, M. K. & Hu, C-C., 2004 Sep 1, In : Journal of Algebra. 279, 1, p. 22-37 16 p.

Research output: Contribution to journalArticle

16 Citations (Scopus)

Fixed-point methods for a semiconductor quantum dot model

Hwang, T. M., Lin, W. W., Liu, J. L. & Wang, W., 2004 Sep 1, In : Mathematical and Computer Modelling. 40, 5-6, p. 519-533 15 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Improving the screening power of the cognitive abilities screening instrument, Chinese version

Tsai, R-C., Lin, K. N., Wu, K. Y. & Liu, H. C., 2004 Oct 27, In : Dementia and Geriatric Cognitive Disorders. 18, 3-4, p. 314-320 7 p.

Research output: Contribution to journalArticle

17 Citations (Scopus)

Integral points on elliptic curves over function fields

Chi, W. C., Lai, K. F. & Tan, K. S., 2004 Oct 1, In : Journal of the Australian Mathematical Society. 77, 2, p. 197-208 12 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Multiplicity of rotating spirals under curvature flows with normal tip motion

Fiedler, B., Guo, J. S. & Tsai, J. C., 2004 Oct 1, In : Journal of Differential Equations. 205, 1, p. 211-228 18 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

Numerical simulation of three dimensional pyramid quantum dot

Hwang, T-M., Lin, W. W., Wang, W. C. & Wang, W., 2004 May 1, In : Journal of Computational Physics. 196, 1, p. 208-232 25 p.

Research output: Contribution to journalArticle

69 Citations (Scopus)

Odd or even on plane trees

Eu, S. P., Liu, S. C. & Yeh, Y. N., 2004 Apr 28, In : Discrete Mathematics. 281, 1-3, p. 189-196 8 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)

On the spatial entropy of two-dimensional golden mean

Juang, J. & Shieh, S. F., 2004 Jan, In : International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 14, 1, p. 309-319 11 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)