Research Output

Homogenization of fractional kinetic equations with random initial data

Liu, G. R. & Shieh, N. R., 2011 Jan 1, In : Electronic Journal of Probability. 16, p. 962-980 19 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

High-order RKDG methods for computational electromagnetics

Chen, M-H., Cockburn, B. & Reitich, F., 2005 Jan 1, In : Journal of Scientific Computing. 22-23, p. 205-226 22 p.

Research output: Contribution to journalArticle

59 Citations (Scopus)

High-order RKDG methods for computational electromagnetics

Chen, M-H., Cockburn, B. & Reitich, F., 2005 Dec 1, 3rd M.I.T. Conference on Computational Fluid and Solid Mechanics. p. 1069-1071 3 p. (3rd M.I.T. Conference on Computational Fluid and Solid Mechanics).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

High-order discontinuous Galerkin method for solving Elliptic interface problems

Chen, M. H. & Wu, R. J., 2016 Jan 1, In : Taiwanese Journal of Mathematics. 20, 5, p. 1185-1202 18 p.

Research output: Contribution to journalArticle

High-order conservative asymptotic-preserving schemes for modeling rarefied gas dynamical flows with boltzmann-BGK equation

Diaz, M. A., Chen, M. H. & Yang, J. Y., 2015 Oct 15, In : Communications in Computational Physics. 18, 4, p. 1012-1049 38 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)
5 Citations (Scopus)

Harmonic Maps into the Moduli Spaces of Flat Connections

Hong, Y. J., 1999 Jan 1, In : Annals of Global Analysis and Geometry. 17, 5, p. 441-473 33 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Gross’ conjecture for extensions ramified over four points of ℙ1

Huang, P. Y., 2006 Jan 1, In : Journal de Theorie des Nombres de Bordeaux. 18, 1, p. 183-201 19 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Global optimization for a class of fractional programming problems

Fang, S. C., Gao, D. Y., Sheu, R. L. & Xing, W., 2009 Nov 1, In : Journal of Global Optimization. 45, 3, p. 337-353 17 p.

Research output: Contribution to journalArticle

23 Citations (Scopus)

Global in time estimates for the spatially homogeneous Landau equation with soft potentials

Wu, K-C., 2014 Mar 1, In : Journal of Functional Analysis. 266, 5, p. 3134-3155 22 p.

Research output: Contribution to journalArticle

16 Citations (Scopus)

Geometry, topology and dynamics of character varieties

Xia, E. Z., 2012, Abelian and non-abelian cohomology. Goldman, W., Series, C. & Tan, S. P. (eds.). Hackensack, NJ, USA: World Scientific Publishing Co., Vol. 23. p. 309-349 364 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access

Geometric properties for level sets of quadratic functions

Nguyen, H. Q. & Sheu, R. L., 2019 Feb 15, In : Journal of Global Optimization. 73, 2, p. 349-369 21 p.

Research output: Contribution to journalArticle

Generic algorithm for generalized fractional programming

Chen, H. J., Schaible, S. & Sheu, R. L., 2009 Apr 1, In : Journal of Optimization Theory and Applications. 141, 1, p. 93-105 13 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)

Generalized Shalika models of p-adic SO4n and functoriality

Jiang, D., Nien, C. & Qin, Y., 2013 Jan 1, In : Israel Journal of Mathematics. 195, 1, p. 135-169 35 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Gauge-fixing constant scalar curvature equations on ruled manifolds and the futaki invariants

Hong, Y. J., 2002 Jan 1, In : Journal of Differential Geometry. 60, 3, p. 389-453 65 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)

Gap estimates of Schrödinger operator

Chen, R., 1997 Apr, In : Pacific Journal of Mathematics. 178, 2, p. 225-240 16 p.

Research output: Contribution to journalArticle

Gamma factors and quadratic extension over finite fields

Nien, C., 2019 Jan 7, In : Manuscripta Mathematica. 158, 1-2, p. 31-54 24 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Free Molecular Flow with Boundary Effect

Kuo, H. W., Liu, T. P. & Tsai, L. C., 2013 Feb 11, In : Communications in Mathematical Physics. 318, 2, p. 375-409 35 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)

Fixed Ideals of Certain Cartier Algebras Over F-split Toric Algebras

Hsiao, J. C., 2016 Jun 2, In : Communications in Algebra. 44, 6, p. 2670-2684 15 p.

Research output: Contribution to journalArticle

Finite conformal modules over N=2,3,4 superconformal algebras

Cheng, S. J. & Lam, N., 2001 Feb, In : Journal of Mathematical Physics. 42, 2, p. 906-933 28 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)

Extensions of modules over supercurrent conformal algebras

Lam, N., 2001 Jan 1, In : Communications in Algebra. 29, 7, p. 3061-3068 8 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Extension of unitary virasoro vertex operator algebra by a simple module

Lam, C. H., Lam, N. & Yamauchi, H., 2003 Jan 1, In : International Mathematics Research Notices. 11, p. 577-611 35 p.

Research output: Contribution to journalArticle

17 Citations (Scopus)

Explicit structure of the Fokker-Planck equation with potential

Lin, Y. C., Wang, H. & Wu, K. C., 2019 Jan 1, In : Quarterly of Applied Mathematics. 77, 4, p. 727-766 40 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Explicit connections with SU(2)-monodromy

Xia, E. Z., 2009 Sep 1, In : Forum Mathematicum. 21, 5, p. 827-832 6 p.

Research output: Contribution to journalArticle

Existence of solutions of semilinear elliptic problems on unbounded domains

Lien, W-C., Tzeng, S. Y. & Wang, H. C., 1993 Jan 1, In : Differential and Integral Equations. 6, 6, p. 1281-1298 18 p.

Research output: Contribution to journalArticle

65 Citations (Scopus)

Existence and uniqueness for boussinesq type equations on a circle

Fang, Y. F. & Grillakis, M. G., 1996 Jan 1, In : Communications in Partial Differential Equations. 21, 7-8, p. 1253-1277 25 p.

Research output: Contribution to journalArticle

43 Citations (Scopus)

Existence and polynomial growth of periodic solutions to kdv-type equations

Fang, Y. F., 2005 Jan 1, In : Hokkaido Mathematical Journal. 34, 3, p. 629-654 26 p.

Research output: Contribution to journalArticle

Exceptional discrete mapping class group orbits in moduli spaces

Previte, J. P. & Xia, E. Z., 2003 Jan 1, In : Forum Mathematicum. 15, 6, p. 949-954 6 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Evolving a convex closed curve to another one via a length-preserving linear flow

Lin, Y. C. & Tsai, D. H., 2009 Nov 1, In : Journal of Differential Equations. 247, 9, p. 2620-2636 17 p.

Research output: Contribution to journalArticle

12 Citations (Scopus)

Estimation of selected parameters

Pan, J. C., Huang, Y. & Hwang, J. T. G., 2017 May 1, In : Computational Statistics and Data Analysis. 109, p. 45-63 19 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Erratum: Double well potential function and its optimization in the n-dimensional real space: Part II (Mathematics and Mechanics of Solids)

Xia, Y., Sheu, R. L., Fang, S. C. & Xing, W., 2016 Mar 1, In : Mathematics and Mechanics of Solids. 21, 3, p. NP83-NP103

Research output: Contribution to journalComment/debate

1 Citation (Scopus)

Erratum: Double well potential function and its optimization in the n-dimensional real space: Part I (Mathematics and Mechanics of Solids)

Fang, S. C., Gao, D. Y., Lin, G. X., Sheu, R. L. & Xing, W. X., 2016 Mar 1, In : Mathematics and Mechanics of Solids. 21, 3, p. NP66-NP80

Research output: Contribution to journalComment/debate

1 Citation (Scopus)

Ergodicity of mapping class group actions on SU(2)-character varieties

Goldman, W. M. & Xia, E. Z., 2011 Apr 30, Geometry, rigidity, and group actions: Chicago Lectures in Mathematics. Chicago, IL, USA: University of Chicago Press, p. 591-608 600 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Ergodicity of mapping class group actions on representation varieties, II. Surfaces with boundary

Pickrell, D. & Xia, E. Z., 2003 Dec, In : Transformation Groups. 8, 4, p. 397-402 6 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)

Ergodicity of mapping class group actions on representation varieties, I. Closed surfaces

Pickrell, D. & Xia, E. Z., 2002 Jan 1, In : Commentarii Mathematici Helvetici. 77, 2, p. 339-362 24 p.

Research output: Contribution to journalArticle

13 Citations (Scopus)

Equivariant cohomology of infinite-dimensional grassmannian and shifted schur functions

Liou, J. M. F. & Schwarz, A., 2012, In : Mathematical Research Letters. 19, 4, p. 775-784 10 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Equilibrating Effects of Boundary and Collision in Rarefied Gases

Kuo, H. W., Liu, T. P. & Tsai, L. C., 2014 Jun, In : Communications in Mathematical Physics. 328, 2, p. 421-480 60 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Equilibrating Effect of Maxwell-Type Boundary Condition in Highly Rarefied Gas

Kuo, H. W., 2015 Nov 1, In : Journal of Statistical Physics. 161, 3, p. 743-800 58 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Energy Bound for Kapustin–Witten Solutions on S3×R+

Leung, N. C. & Takahashi, R., 2018 Aug 20, In : International Mathematics Research Notices. rny198

Research output: Contribution to journalArticle

Electro-osmotic flow in a wavy microchannel: Coherence between the electric potential and the wall shape function

Shu, Y. C., Chang, C. C., Chen, Y. S. & Wang, C. Y., 2010 Aug, In : Physics of Fluids. 22, 8, 082001.

Research output: Contribution to journalArticle

12 Citations (Scopus)

Effects of Matrices and Additives on Multiple Charge Formation of Proteins in MALDI–MS Analysis

Choi, H., Lee, D., Kim, Y., Nguyen, H. Q., Han, S. & Kim, J., 2019 Jul 15, In : Journal of the American Society for Mass Spectrometry. 30, 7, p. 1174-1178 5 p.

Research output: Contribution to journalArticle

17 Citations (Scopus)

Effect of microwave irradiation time on microwave-assisted weak acid protein hydrolysis

Kim, D., Joo, M., Lee, D., Nguyen, H. Q. & Kim, J., 2019 Sep, In : Mass Spectrometry Letters. 10, 3, p. 79-83 5 p.

Research output: Contribution to journalArticle

Effect of abrupt change of the wall temperature in the kinetic theory

Kuo, H. W., 2019 Jan 1, In : Kinetic and Related Models. 12, 4, p. 765-789 25 p.

Research output: Contribution to journalArticle

Open Access

Early stopping in L2 Boosting

Ivan Chang, Y. C., Huang, Y. & Huang, Y. P., 2010 Oct 1, In : Computational Statistics and Data Analysis. 54, 10, p. 2203-2213 11 p.

Research output: Contribution to journalArticle

12 Citations (Scopus)

Dynamics of the mapping class group on the moduli of a punctured sphere with rational holonomy

Previte, J. P. & Xia, E. Z., 2005 Apr 1, In : Geometriae Dedicata. 112, 1, p. 65-72 8 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Dynamics of Abelian Vortices Without Common Zeros in the Adiabatic Limit

Liu, C. C., 2014 Jul, In : Communications in Mathematical Physics. 329, 1, p. 169-206 38 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)