Department of Mathematics

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Article
2020

Arboreal Galois representation for a certain type of quadratic polynomials

Li, H. C., 2020 Mar 1, In : Archiv der Mathematik. 114, 3, p. 265-269 5 p.

Research output: Contribution to journalArticle

Cluster validity indices for mixture hazards regression models

Chang, Y. W., Lu, K. P. & Chang, S. T., 2020 Jan 1, In : Mathematical Biosciences and Engineering. 17, 2, p. 1616-1636 21 p.

Research output: Contribution to journalArticle

Open Access

Comparing German and Taiwanese secondary school students’ knowledge in solving mathematical modelling tasks requiring their assumptions

Chang, Y. P., Krawitz, J., Schukajlow, S. & Yang, K. L., 2020 Apr 1, In : ZDM - Mathematics Education. 52, 1, p. 59-72 14 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Equiangular lines and the Lemmens–Seidel conjecture

Lin, Y. C. R. & Yu, W. H., 2020 Feb, In : Discrete Mathematics. 343, 2, 111667.

Research output: Contribution to journalArticle

Krylov subspace methods for discrete-time algebraic Riccati equations

Zhang, L., Fan, H. Y. & Chu, E. K. W., 2020 Jun, In : Applied Numerical Mathematics. 152, p. 499-510 12 p.

Research output: Contribution to journalArticle

On construction of new NCP functions

Alcantara, J. H., Lee, C. H., Nguyen, C. T., Chang, Y. L. & Chen, J. S., 2020 Mar, In : Operations Research Letters. 48, 2, p. 115-121 7 p.

Research output: Contribution to journalArticle

Saturated configuration and new large construction of equiangular lines

Lin, Y. C. R. & Yu, W. H., 2020 Mar 1, In : Linear Algebra and Its Applications. 588, p. 272-281 10 p.

Research output: Contribution to journalArticle

Time-asymptotic dynamics of Hermitian Riccati Differential Equations

Kuo, Y. C., Lin, H. E. & Shieh, S. F., 2020 Feb, In : Taiwanese Journal of Mathematics. 24, 1, p. 131-158 28 p.

Research output: Contribution to journalArticle

Open Access
2019

A finite element based fast eigensolver for three dimensional anisotropic photonic crystals

Chou, S. H., Huang, T. M., Li, T., Lin, J. W. & Lin, W. W., 2019 Jun 1, In : Journal of Computational Physics. 386, p. 611-631 21 p.

Research output: Contribution to journalArticle

Counting permutations by simsun successions

Lin, Y. C. R., Ma, S. M. & Yeh, Y. N., 2019 Jun, In : Taiwanese Journal of Mathematics. 23, 3, p. 515-527 13 p.

Research output: Contribution to journalArticle

Open Access

CR Sub-Laplacian Comparison and Liouville-Type Theorem in a Complete Noncompact Sasakian Manifold

Chang, S. C., Kuo, T. J., Lin, C. & Tie, J., 2019 Apr 15, In : Journal of Geometric Analysis. 29, 2, p. 1676-1705 30 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Electromagnetic field behavior of 3D Maxwell's equations for chiral media

Huang, T. M., Li, T., Chern, R. L. & Lin, W. W., 2019 Feb 15, In : Journal of Computational Physics. 379, p. 118-131 14 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)
Open Access

Frequently hypercyclic properties of the age and maturity structured model of population

Hung, C. H. & Chang, Y-H., 2019 Jul 1, In : Japan Journal of Industrial and Applied Mathematics. 36, 2, p. 461-472 12 p.

Research output: Contribution to journalArticle

Fuzzy maximum likelihood change-point algorithms for identifying the time of shifts in process data

Lu, K. P. & Chang, S. T., 2019 Jul 1, In : Neural Computing and Applications. 31, 7, p. 2431-2446 16 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Highly efficient GPU eigensolver for three-dimensional photonic crystal band structures with any Bravais lattice

Huang, T. M., Lin, W. W., Tsai, H. & Wang, W., 2019 Dec, In : Computer Physics Communications. 245, 106841.

Research output: Contribution to journalArticle

Large-scale algebraic Riccati equations with high-rank constant terms

Yu, B., Fan, H. Y. & Chu, E. K. W., 2019 Dec 1, In : Journal of Computational and Applied Mathematics. 361, p. 130-143 14 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Neural Network for Solving SOCQP and SOCCVI Based on Two Discrete-Type Classes of SOC Complementarity Functions

Sun, J., Wu, X. R., Saheya, B., Chen, J. S. & Ko, C. H., 2019 Jan 1, In : Mathematical Problems in Engineering. 2019, 4545064.

Research output: Contribution to journalArticle

Open Access

Non-existence of solutions for a mean field equation on flat tori at critical parameter 16π

Chen, Z., Kuo, T. J. & Lin, C. S., 2019 Jan 1, In : Communications in Analysis and Geometry. 27, 8, p. 1737-1755 19 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

On an age structured population model with density-dependent dispersals between two patches

Cheng, C. Y., Chen, S. S. & Zou, X., 2019 Jan 1, In : Mathematical Biosciences and Engineering. 16, 5, p. 4976-4998 23 p.

Research output: Contribution to journalArticle

Open Access

On maximal elements with applications to abstract economies, fixed point theory and eigenvector problems

Chu, L. J. & Du, W. S., 2019 Jun 1, In : Symmetry. 11, 6, 789.

Research output: Contribution to journalArticle

Open Access

On unitary elements defined on Lorentz cone and their applications

Huang, C. H. & Chen, J. S., 2019 Mar 15, In : Linear Algebra and Its Applications. 565, p. 1-24 24 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Selective Serotonin Reuptake Inhibitor Use and Risk of Arrhythmia: A Nationwide, Population-Based Cohort Study

Lin, Y. T., Lu, T. S., Hansen, R. A. & Wang, C. C., 2019 Jun, In : Clinical Therapeutics. 41, 6, p. 1128-1138.e8

Research output: Contribution to journalArticle

Signed Mahonian polynomials for major and sorting indices

Chang, H., Eu, S. P., Fu, S., Lin, Z. & Lo, Y. H., 2019 Jan 1, (Accepted/In press) In : Journal of Algebraic Combinatorics.

Research output: Contribution to journalArticle

Simple zero property of some holomorphic functions on the moduli space of tori

Chen, Z., Kuo, T. J. & Lin, C. S., 2019 Nov 1, In : Science China Mathematics. 62, 11, p. 2089-2102 14 p.

Research output: Contribution to journalArticle

Open Access

The geometry of generalized Lamé equation, I

Chen, Z., Kuo, T. J. & Lin, C. S., 2019 Jul, In : Journal des Mathematiques Pures et Appliquees. 127, p. 89-120 32 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

The geometry of generalized Lamé equation, II: Existence of pre-modular forms and application

Chen, Z., Kuo, T. J. & Lin, C. S., 2019 Dec, In : Journal des Mathematiques Pures et Appliquees. 132, p. 251-272 22 p.

Research output: Contribution to journalArticle

The variational geometry, projection expression and decomposition associated with ellipsoidal cones

Lu, Y. & Chen, J. S., 2019 Jan 1, In : Journal of Nonlinear and Convex Analysis. 20, 4, p. 715-738 24 p.

Research output: Contribution to journalArticle

Towards a conceptual framework for understanding and developing mathematical competence: A multi-dual perspective

Yang, K. L., Tso, T. Y., Chen, C. S., Lin, Y. H., Liu, S. T., Lin, S. W. & Lei, K. H., 2019 Jan 1, (Accepted/In press) In : Innovations in Education and Teaching International.

Research output: Contribution to journalArticle

Unified smoothing functions for absolute value equation associated with second-order cone

Nguyen, C. T., Saheya, B., Chang, Y. L. & Chen, J. S., 2019 Jan 1, In : Applied Numerical Mathematics. 135, p. 206-227 22 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

福海測風塔高頻率光纖光柵結構監測系統可行性評估

Translated title of the contribution: Feasibility Assessment of High Frequency Optical FBG Structural Monitoring Technique on Fuhai Meteorological MastKuo, C. Y., Huang, H. H., Huang, A. B., Wu, K. W., Ning, H. Y., Lin, D. C., Tsai, P. W. & Chan, Y. H., 2019 Jun 1, In : Journal of the Chinese Institute of Civil and Hydraulic Engineering. 31, 4, p. 387-394 8 p.

Research output: Contribution to journalArticle

2018

A Framework for Assessing Reading Comprehension of Geometric Construction Texts

Yang, K. L. & Li, J. L., 2018 Jan 1, In : International Journal of Science and Mathematics Education. 16, 1, p. 109-124 16 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

A note on the almost-Schur lemma on smooth metric measure spaces

Chen, J. T., 2018 Jan 1, In : Journal of Inequalities and Applications. 2018, 194.

Research output: Contribution to journalArticle

Open Access
1 Citation (Scopus)

A Simple Transformation for Mahonian Statistics on Labelings of Rake Posets

Eu, S. P., Fu, T. S. & Hsu, H. C., 2018 Mar 1, In : Graphs and Combinatorics. 34, 2, p. 373-381 9 p.

Research output: Contribution to journalArticle

A variant of a theorem by Ailon-Rudnick for elliptic curves

Ghioca, D., Hsia, L. C. & Tucker, T. J., 2018 Jan 1, In : Pacific Journal of Mathematics. 295, 1, p. 1-15 15 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Computing the full spectrum of large sparse palindromic quadratic eigenvalue problems arising from surface Green's function calculations

Huang, T. M., Lin, W. W., Tian, H. & Chen, G. H., 2018 Mar 1, In : Journal of Computational Physics. 356, p. 340-355 16 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Discovery of new complementarity functions for NCP and SOCCP

Ma, P. F., Chen, J. S., Huang, C. H. & Ko, C. H., 2018 Nov 1, In : Computational and Applied Mathematics. 37, 5, p. 5727-5749 23 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

E(s2)- and UE(s2)-optimal supersaturated designs

Cheng, C. S., Das, A., Singh, R. & Tsai, P. W., 2018 Aug, In : Journal of Statistical Planning and Inference. 196, p. 105-114 10 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Enhancing understanding through the use of structured representations

Lee, C. Y., Lei, K. H., Chen, M. J., Tso, T. Y. & Chen, I. P., 2018 Jan 1, In : Eurasia Journal of Mathematics, Science and Technology Education. 14, 5, p. 1875-1886 12 p.

Research output: Contribution to journalArticle

Open Access

Exploring profiles of ideal high school mathematical teaching behaviours: perceptions of in-service and pre-service teachers in Taiwan

Hsieh, F. J., Wang, T. Y. & Chen, Q., 2018 Aug 8, In : Educational Studies. 44, 4, p. 468-487 20 p.

Research output: Contribution to journalArticle

Families of Subsets Without a Given Poset in Double Chains and Boolean Lattices

Guo, J. Y., Chang, F. H., Chen, H. B. & Li, W. T., 2018 Jul 1, In : Order. 35, 2, p. 349-362 14 p.

Research output: Contribution to journalArticle

Fixed points of the evacuation of maximal chains on fuss shapes

Eu, S. P., Fu, T. S., Hsu, H. C. & Huang, Y. P., 2018 Feb 16, In : Electronic Journal of Combinatorics. 25, 1

Research output: Contribution to journalArticle

Green function, Painlevé VI equation, and Eisenstein series of weight one

Chen, Z., Kuo, T. J., Lin, C. S. & Wang, C. L., 2018 Feb, In : Journal of Differential Geometry. 108, 2, p. 185-241 57 p.

Research output: Contribution to journalArticle

10 Citations (Scopus)

Mathematics teacher educator-researchers’ perspectives on the use of theory in facilitating teacher growth

Lin, F. L., Yang, K. L., Hsu, H. Y. & Chen, J. C., 2018 Jun 1, In : Educational Studies in Mathematics. 98, 2, p. 197-214 18 p.

Research output: Contribution to journalArticle

Neural networks for solving second-order cone programs based on complementarity functions

Chen, J. S., 2018 Jan 1, In : Journal of Nonlinear and Convex Analysis. 19, 10, p. 1621-1641 21 p.

Research output: Contribution to journalArticle

Numerical comparisons based on four smoothing functions for absolute value equation

Saheya, B., Yu, C. H. & Chen, J. S., 2018 Feb 1, In : Journal of Applied Mathematics and Computing. 56, 1-2, p. 131-149 19 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

On reducible monodromy representations of some generalized Lamé equation

Chen, Z., Kuo, T. J., Lin, C. S. & Takemura, K., 2018 Apr 1, In : Mathematische Zeitschrift. 288, 3-4, p. 679-688 10 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

On the Heights of elements in the Nottingham Group

Li, H. C., 2018 Nov 2, In : Communications in Algebra. 46, 11, p. 4777-4786 10 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)