Department of Mathematics

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2012

Weak Néron models for cubic polynomial maps over a non-Archimedean field

Briend, J. Y. & Hsia, L. C., 2012 May 21, In : Acta Arithmetica. 153, 4, p. 415-428 14 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

動態幾何系統的概念工具

左台益(Tai-Yih T, 2012, In : 中等教育. 63, 4, p. 6-15 10 p.

Research output: Contribution to journalArticle

小六學生不同代數表徵的解題表現、教師布題順序與代數教學信念之研究

劉家樟(Chia-Chang L, 楊凱琳(Kai-Lin Y & 許慧玉(Hui-Yu H, 2012, In : Contemporary Educational Research Quarterly. 20, 2, p. 93-133 41 p.

Research output: Contribution to journalArticle

從統計認知面向與圖表理解角度分析國中數學教科書的統計內容

李健恆(Kin-Hang L & 楊凱琳(Kai-Lin Y, 2012, In : 教科書研究. 5, 2, p. 31-72 42 p.

Research output: Contribution to journalArticle

數學建模評量規準之研究

楊凱琳(Kai-Lin Y, 林福來(Fou-Lai L & 蕭志如(Chih-Ru H, 2012, In : 科學教育學刊. 20, 4, p. 319-342 24 p.

Research output: Contribution to journalArticle

2011

A continuation approach for the capacitated multi-facility weber problem based on nonlinear SOCP reformulation

Chen, J. S., Pan, S. & Ko, C. H., 2011 Aug 1, In : Journal of Global Optimization. 50, 4, p. 713-728 16 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

A generalization of the primitive normal basis theorem

Hsu, C-N. & Nan, T. T., 2011 Jan 1, In : Journal of Number Theory. 131, 1, p. 146-157 12 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

A least-square semismooth Newton method for the second-order cone complementarity problem

Pan, S. & Chen, J. S., 2011 Feb, In : Optimization Methods and Software. 26, 1, p. 1-22 22 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

A merit function method for infinite-dimensional SOCCPs

Chiang, Y., Pan, S. & Chen, J. S., 2011 Nov 1, In : Journal of Mathematical Analysis and Applications. 383, 1, p. 159-178 20 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)
1 Citation (Scopus)

A new class of penalized NCP-functions and its properties

Chen, J. S., Huang, Z. H. & She, C. Y., 2011 Sep 1, In : Computational Optimization and Applications. 50, 1, p. 49-73 25 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)

An extension of michael's selection theorem

Chu, L-J. & Huang, C. H., 2011 Dec 1, In : Acta Mathematica Vietnamica. 36, 1, p. 105-112 8 p.

Research output: Contribution to journalArticle

A parallel polynomial Jacobi-Davidson approach for dissipative acoustic eigenvalue problems

Hwang, T-M., Hwang, F. N., Lai, S. H., Wang, W. & Wei, Z. H., 2011 Jun 1, In : Computers and Fluids. 45, 1, p. 207-214 8 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

A quantitative estimate for quasiintegral points in orbits

Hsia, L. C. & Silverman, J. H., 2011 Feb 15, In : Pacific Journal of Mathematics. 249, 2, p. 321-342 22 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Blow-up for parabolic equations and systems with nonnegative potential

Lin, Y-J. & Shimojo, M., 2011 Jun 1, In : Taiwanese Journal of Mathematics. 15, 3, p. 995-1005 11 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Chaotic simulated annealing by a neural network with a variable delay: Design and application

Chen, S. S., 2011 Oct 1, In : IEEE Transactions on Neural Networks. 22, 10, p. 1557-1565 9 p., 5979157.

Research output: Contribution to journalArticle

20 Citations (Scopus)
41 Citations (Scopus)

Constructions for cyclic sieving phenomena

Berget, A., Eu, S. P. & Reiner, V., 2011, In : SIAM Journal on Discrete Mathematics. 25, 3, p. 1297-1314 18 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Efficient Arnoldi-type algorithms for rational eigenvalue problems arising in fluid-solid systems

Chou, S. H., Huang, T. M., Huang, W. Q. & Lin, W. W., 2011 Mar 1, In : Journal of Computational Physics. 230, 5, p. 2189-2206 18 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Eigenvalue estimates using the Kolmogorov-Sinai Entropy

Shieh, S. F., 2011 Dec, In : Entropy. 13, 12, p. 2036-2048 13 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)
7 Citations (Scopus)

Exploring bistability in rotating BoseEinstein condensates by a quotient transformation invariant continuation method

Kuo, Y. C., Lin, W. W., Shieh, S-F. & Wang, W., 2011 Jan 1, In : Physica D: Nonlinear Phenomena. 240, 1, p. 78-88 11 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Exterior pairs and up step statistics on Dyck paths

Eu, S-P. & Fu, T. S., 2011 May 12, In : Electronic Journal of Combinatorics. 18, 1

Research output: Contribution to journalArticle

Generalized solution of the photon transport problem

Chang, Y. H. & Hong, C. H., 2011 Mar 1, In : Canadian Mathematical Bulletin. 54, 1, p. 28-38 11 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

General pedagogical knowledge of future middle school teachers: On the complex ecology of teacher education in the united states, Germany, and Taiwan

König, J., Blömeke, S., Paine, L., Schmidt, W. H. & Hsieh, F. J., 2011 Mar 1, In : Journal of Teacher Education. 62, 2, p. 188-201 14 p.

Research output: Contribution to journalArticle

82 Citations (Scopus)

Li-yau gradient estimate and entropy formulae for the cr heat equation in a closed pseudohermitian 3-manifold

Chang, S. C., Kuo, T. J. & Lai, S. H., 2011 Jan 1, In : Journal of Differential Geometry. 89, 2, p. 185-216 32 p.

Research output: Contribution to journalArticle

13 Citations (Scopus)

Long-term effect of hysterectomy on urinary incontinence in Taiwan

Hsieh, C. H., Chang, W. C., Lin, T. Y., Su, T. H., Li, Y. T., Kuo, T. C., Lee, M. C., Lee, M. S. & Chang, S-T., 2011 Sep 1, In : Taiwanese Journal of Obstetrics and Gynecology. 50, 3, p. 326-330 5 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)

Mathematics teacher education quality in TEDS-M: Globalizing the views of future teachers and teacher educators

Hsieh, F-J., Law, C. K., Shy, H. Y., Wang, T. Y., Hsieh, C. J. & Tang, S. J., 2011 Mar 1, In : Journal of Teacher Education. 62, 2, p. 172-187 16 p.

Research output: Contribution to journalArticle

19 Citations (Scopus)

Multistratum fractional factorial designs

Cheng, C. S. & Tsai, P. W., 2011 Jul 1, In : Statistica Sinica. 21, 3, p. 1001-1021 21 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)
2 Citations (Scopus)

Nonsingularity conditions for the fischer-burmeister system of nonlinear SDPs

Bi, S., Pan, S. & Chen, J-S., 2011 Dec 1, In : SIAM Journal on Optimization. 21, 4, p. 1392-1417 26 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

On the Lorentz cone complementarity problems in infinite-dimensional real Hilbert space

Miao, X. H. & Chen, J. S., 2011 May 1, In : Numerical Functional Analysis and Optimization. 32, 5, p. 507-523 17 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Palindromic quadratization and structure-preserving algorithm for palindromic matrix polynomials of even degree

Hwang, T-M., Lin, W. W. & Su, W. S., 2011 Aug 1, In : Numerische Mathematik. 118, 4, p. 713-735 23 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)

Recurrent neural networks for solving second-order cone programs

Ko, C. H., Chen, J. S. & Yang, C. Y., 2011 Oct 1, In : Neurocomputing. 74, 17, p. 3646-3653 8 p.

Research output: Contribution to journalArticle

23 Citations (Scopus)

Testing founder effect speciation: Divergence population genetics of the Spoonbills Platalea regia and Pl. minor (Threskiornithidae, Aves)

Yeung, C. K. L., Tsai, P-W., Chesser, R. T., Lin, R. C., Yao, C. T., Tian, X. H. & Li, S-H., 2011 Jan 1, In : Molecular Biology and Evolution. 28, 1, p. 473-482 10 p.

Research output: Contribution to journalArticle

17 Citations (Scopus)

The penalized Fischer-Burmeister SOC complementarity function

Pan, S., Chen, J. S., Kum, S. & Lim, Y., 2011 Jul 1, In : Computational Optimization and Applications. 49, 3, p. 457-491 35 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

The Rayleigh-Ritz method, refinement and Arnoldi process for periodic matrix pairs

Chu, E. K. W., Fan, H. Y., Jia, Z., Li, T. & Lin, W. W., 2011 Feb 15, In : Journal of Computational and Applied Mathematics. 235, 8, p. 2626-2639 14 p.

Research output: Contribution to journalArticle

The solution of 3D-photon transport problem in interstellar cloud

Chang, Y. H. & Hong, C. H., 2011 Oct, In : Taiwanese Journal of Mathematics. 15, 5, p. 1957-1968 12 p.

Research output: Contribution to journalArticle

Open Access

Traveling waves in the buffered fitzhugh-nagumomodel

Tsai, J. C. & Sneyd, J., 2011 Nov 14, In : SIAM Journal on Applied Mathematics. 71, 5, p. 1606-1636 31 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Unraveling in-service EFL teachers' technological pedagogical content knowledge

Tseng, J. J., Cheng, Y. S. & Lin, C. C., 2011 Jan 1, In : Journal of Asia TEFL. 8, 2, p. 45-72 28 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

以分段方式降低任務複雜度對專家與生手閱讀幾何證明的影響

左台益(Tai-Yih T, 呂鳳琳, 曾世綺(Shyh-Chii T, 吳慧敏(Huei-MinWu), 陳明璋 & 譚寧君(Ning-Chun T, 2011, In : Bulletin of Educational Psychology. 43, S, p. 291-314 24 p.

Research output: Contribution to journalArticle

2010

A general criterion for factorial designs under model uncertainty

Tsai, P. W. & Gilmour, S. G., 2010 May 1, In : Technometrics. 52, 2, p. 231-242 12 p.

Research output: Contribution to journalArticle

12 Citations (Scopus)

A hyperplane-constrained continuation method for near singularity in coupled nonlinear Schrödinger equations

Kuo, Y. C., Lin, W. W., Shieh, S. F. & Wang, W., 2010 May 1, In : Applied Numerical Mathematics. 60, 5, p. 513-526 14 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

A linearly convergent derivative-free descent method for the second-order cone complementarity problem

Pan, S. & Chen, J. S., 2010 Oct 29, In : Optimization. 59, 8, p. 1173-1197 25 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

An efficiency study of polynomial eigenvalue problem solvers for quantum dot simulations

Huang, T. M., Wang, W. & Lee, C. T., 2010 Jun, In : Taiwanese Journal of Mathematics. 14, 3 A, p. 999-1021 23 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)
5 Citations (Scopus)

A neural network based on the generalized Fischer-Burmeister function for nonlinear complementarity problems

Chen, J-S., Ko, C. H. & Pan, S., 2010 Mar 1, In : Information Sciences. 180, 5, p. 697-711 15 p.

Research output: Contribution to journalArticle

29 Citations (Scopus)

A nonlocal parabolic problem arising in linear friction welding

Guo, Y. J. L., 2010 Mar 1, In : Osaka Journal of Mathematics. 47, 1, p. 33-40 8 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

A one-parametric class of merit functions for the second-order cone complementarity problem

Chen, J. S. & Pan, S., 2010 Apr 1, In : Computational Optimization and Applications. 45, 3, p. 581-606 26 p.

Research output: Contribution to journalArticle

21 Citations (Scopus)

A parallel additive schwarz preconditioned jacobi-davidson algorithm for polynomial eigenvalue problems in quantum dot simulation

Hwang, F. N., Wei, Z. H., Hwang, T-M. & Wang, W., 2010 Apr 20, In : Journal of Computational Physics. 229, 8, p. 2932-2947 16 p.

Research output: Contribution to journalArticle

21 Citations (Scopus)