數學系教師研究論文 2001
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以下是本系師生 2001 內所發表的學術論文。
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- Lan, Chiu-Ya; Lin, Chi-Kun. Renormalization of the KdV-Burgers and Kuramoto-Sivashinsky
equations.
Canad. Appl. Math. Quart. 9 (2001), no. 3, 249--272 (2002).
- Fong, Y.; Ke, W.-F.; Huang, F.-K.; Yeh, Y.-N. On semi-endomorphism of abelian groups.
Near-rings and near-fields (Stellenbosch, 1997),
72--78, Kluwer Acad. Publ., Dordrecht, 2001.
- Shieh, Bih-Sheue; Lea, Cheun-Der. The almost sure convergence of weighted generalized empirical df.
J. Statist. Res. 35 (2001), no. 2, 81--91.
- Lam, Ching Hung. Fusion rules for ternary and $\mathbb Z_2\times\mathbb Z_2$ code vertex
operator algebras.
Proceedings on Moonshine and related topics (Montr?al, QC,
1999),
85--98, CRM Proc. Lecture Notes, 30, Amer. Math. Soc., Providence, RI, 2001.
- Wu, Soon-Yi; Fang, Shu-Cherng; Lin, Chih-Jen. Solving general capacity problem by relaxed cutting plane
approach.
Optimization and numerical algebra (Nanjing, 1999).
Ann. Oper. Res. 103 (2001), 193--211.
- Jeng, Jyh-Chung; Huang, Young-Ye. Some best approximation theorems of Ky Fan type.
Indian J. Math. 43 (2001), no. 3, 359--366.
- Goberna, Miguel A.; L?pez, Marco A.; Wu, Soon-Yi. Separation by hyperplanes: a linear semi-infinite programming
approach.
Semi-infinite programming (Alicante, 1999),
255--269, Nonconvex Optim. Appl., 57, Kluwer Acad. Publ., Dordrecht, 2001.
- Lam, Ching Hung. The lattice vertex operator algebra $V_{\sqrt2D_l}$ and some
vertex operator algebras constructed from $\mathbb Z_8$-codes.
Representation theory of vertex operator algebras and related topics
(Japanese) (Kyoto, 2000).
S\=urikaisekikenky\=usho K\=oky\=uroku No. 1218 (2001), 93--108.
- Wu, S. Y.; Yang, X. Q.; Yao, J. C. Relaxed inexact algorithm for continuous complementarity problems on
measure spaces.
J. Optim. Theory Appl. 111 (2001), no. 3, 657--666.
- Wu, S. Y. A cutting plane approach to solving quadratic infinite programs on
measure spaces.
J. Global Optim. 21 (2001), no. 1, 67--87.
- Beidar, K. I.; Chebotar, M. A. On surjective Lie homomorphisms onto Lie ideals of prime rings.
Comm. Algebra 29 (2001), no. 10, 4775--4793.
- Beidar, K. I.; Kasch, F. Good conditions for the total.
International Symposium on Ring Theory (Kyongju, 1999),
43--65, Trends Math., Birkh?user Boston, Boston, MA, 2001.
- Chiu, Chuang-Hsiung; Lin, Wen-Wei; Wang, Chern-Shuh. Synchronization in lattices of coupled oscillators with various
boundary conditions.
Nonlinear Anal. 46 (2001), no. 2, Ser. A: Theory Methods, 213--229.
- Lam, Ngau. Extensions of modules over supercurrent conformal algebras.
Comm. Algebra 29 (2001), no. 7, 3061--3068.
- Pan, Shu-Yen. Splittings of the metaplectic covers of some reductive dual pairs.
Pacific J. Math. 199 (2001), no. 1, 163--226.
- Desjardins, Beno?t; Lin, Chi-Kun. On the semiclassical limit of the general modified NLS equation.
J. Math. Anal. Appl. 260 (2001), no. 2, 546--571.
- Shen, Shih-yu. A boundary element method for Laplace's equation without numerical
integrations.
Appl. Math. Comput. 123 (2001), no. 1, 1--25.
- Kitazume, Masaaki; Lam, Ching Hung; Yamada, Hiromichi. A class of vertex operator algebras constructed from $\mathbb Z_8$
codes.
J. Algebra 242 (2001), no. 1, 338--359.
- Lam, Ching Hung. Fusion rules for the Hamming code vertex operator algebra.
Comm. Algebra 29 (2001), no. 5, 2125--2145.
- Lee, Yuh-Jia; Shih, Chen-Yuh. A probabilistic approach to the representation of positive generalized
white noise functionals.
Stochastic Anal. Appl. 19 (2001), no. 2, 215--234.
- Beidar, K. I.; Bre\v sar, M.; Chebotar, M. A.; Martindale, W. S., III. On Herstein's Lie map conjectures. I.
Trans. Amer. Math. Soc. 353 (2001), no. 10, 4235--4260 (electronic).
- Ansari, Qamrul Hasan; Siddiqi, Abul Hasan; Wu, Soon Yi. Existence and duality of generalized vector equilibrium problems.
J. Math. Anal. Appl. 259 (2001), no. 1, 115--126.
- Beidar, K. I.; Torrecillas, B. On actions of Hopf algebras with cocommutative coradical.
J. Pure Appl. Algebra 161 (2001), no. 1-2, 13--30.
- Beidar, K. I.; Chebotar, M. A. On Lie derivations of Lie ideals of prime algebras.
Israel J. Math. 123 (2001), 131--148.
- Lin, Chi-Kun. Singular limit of the modified nonlinear Schr?dinger equation.
Nonlinear dynamics and renormalization group (Montreal, QC, 1999),
97--109, CRM Proc. Lecture Notes, 27, Amer. Math. Soc., Providence, RI, 2001.
- Beidar, K. I.; Bre\v sar, M.; Fong, Y. Extended Jacobson density theorem for Lie ideals of rings with
automorphisms.
Publ. Math. Debrecen 58 (2001), no. 3, 325--335.
- Jiang, Jiann-Sheng; Lin, Chi-Kun. Homogenization of the Dirac-like system.
Math. Models Methods Appl. Sci. 11 (2001), no. 3, 433--458.
- Chang, Tong-Huei; Huang, Young-Ye; Jeng, Jyh-Chung. Fixed-point theorems for multifunctions in S-KKM class.
Nonlinear Anal. 44 (2001), no. 8, Ser. A: Theory Methods, 1007--1017.
- Lam, Ching Hung. Induced modules for orbifold vertex operator algebras.
J. Math. Soc. Japan 53 (2001), no. 3, 541--557.
- Beidar, K. I.; Bre\v sar, Matej. Extended Jacobson density theorem for rings with derivations and
automorphisms.
Israel J. Math. 122 (2001), 317--346.
- Chen, Roger. A remark on the Harnack inequality for non-self-adjoint evolution
equations.
Proc. Amer. Math. Soc. 129 (2001), no. 7, 2163--2173 (electronic).
- Shen, Shih-yu; Wang, Andrew Minglong. On stop-loss strategies for stock investments.
Appl. Math. Comput. 119 (2001), no. 2-3, 317--337.
- Beidar, K. I.; Fong, Y.; Puczylowski, E. R. Polynomial rings over nil rings cannot be homomorphically mapped onto
rings with nonzero idempotents.
J. Algebra 238 (2001), no. 1, 389--399.
- Beidar, K. I.; Bre\v sar, M.; Chebotar, M. A.; Martindale, W. S., 3rd. On Herstein's Lie map conjectures. II.
J. Algebra 238 (2001), no. 1, 239--264.
- Ferng, William R.; Lin, Wen-Wei; Pierce, Daniel J.; Wang, Chern-Shuh. Nonequivalence transformation of $\lambda$-matrix eigenproblems and
model embedding approach to model tuning.
Numer. Linear Algebra Appl. 8 (2001), no. 1, 53--70.
- Cheng, Shun-Jen; Lam, Ngau. Finite conformal modules over $N=2,3,4$ superconformal algebras.
J. Math. Phys. 42 (2001), no. 2, 906--933.
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