Department of Mathematics

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2021
2020

A common maximal element of condensing mappings

Chu, L. J. & Huang, C. H., 2020, In : Fixed Point Theory. 21, 1, p. 125-132 8 p.

Research output: Contribution to journalArticle

Open Access

A novel generalization of the natural residual function and a neural network approach for the NCP

Alcantara, J. H. & Chen, J. S., 2020 Nov 6, In : Neurocomputing. 413, p. 368-382 15 p.

Research output: Contribution to journalArticle

Application Assessments of Using Scarp Boundary-Fitted, Volume Constrained, Smooth Minimal Surfaces as Failure Interfaces of Deep-Seated Landslides

Kuo, C. Y., Tsai, P. W., Tai, Y. C., Chan, Y. H., Chen, R. F. & Lin, C. W., 2020 Jul 14, In : Frontiers in Earth Science. 8, 211.

Research output: Contribution to journalArticle

Open Access

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

Blow up at infinity in the SU(3) Chern-Simons model, part I

Kuo, T. J., Lee, Y. & Lin, C. S., 2020 Oct 15, In : Journal of Functional Analysis. 279, 7, 108636.

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

Open Access

Signed Euler–Mahonian identities

Eu, S. P., Lin, Z. & Lo, Y. H., 2020, (Accepted/In press) In : European Journal of Combinatorics. 103209.

Research output: Contribution to journalArticle

Structure-Preserving Methods for Computing Complex Band Structures of Three Dimensional Photonic Crystals

Huang, T. M., Li, T., Lin, J. W., Lin, W. W. & Tian, H., 2020 May 1, In : Journal of Scientific Computing. 83, 2, 35.

Research output: Contribution to journalArticle

The decompositions with respect to two core non-symmetric cones

Lu, Y., Yang, C. Y., Chen, J. S. & Qi, H. D., 2020 Jan 1, In : Journal of Global Optimization. 76, 1, p. 155-188 34 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

A structure preserving flow for computing Hamiltonian matrix exponential

Kuo, Y. C., Lin, W. W. & Shieh, S. F., 2019 Nov 1, In : Numerische Mathematik. 143, 3, p. 555-582 28 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

5 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

1 Citation (Scopus)

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
1 Citation (Scopus)

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

2 Citations (Scopus)

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

Cheng, C. Y., Chen, S. S. & Zou, X., 2019, 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
1 Citation (Scopus)

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)

Within-Host Viral Dynamics in a Multi-compartmental Environment

Chen, S. S., Cheng, C. Y. & Rong, L., 2019 Oct 1, In : Bulletin of Mathematical Biology. 81, 10, p. 4271-4308 38 p.

Research output: Contribution to journalArticle

應用崩塌體積與最小平滑曲面法建構三維深層崩塌之近似破壞面

Translated title of the contribution: Constructing Approximated Three-Dimensional Fracture Surfaces of Deep- Seated Landslides by Using Volume Constraints and Smooth Minimal SurfacesKuo, C. Y., Chan, Y. H., Tsai, P. W., Chen, R. F., Tai, Y. C. & Lin, C. W., 2019 Dec 1, In : Journal of Chinese Soil and Water Conservation. 50, 4, p. 143-153 11 p.

Research output: Contribution to journalArticle

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)
Open Access
2 Citations (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)