Name |
Title |
Degree/ Institution |
Specialty |
Publication |
| Fang-Bo Yeh |
Professor |
Ph.D.
Univ. of Glasgow |
Robust control theory, Functional analysis, Numerical simulation, Financial engineering, Missile guidance |
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- Dissipator Placement Design for Truss Structures via Balancing Theory Journal of Guidance, Control, and Dynamics, Vol. 22, No. 4, 558-565, 1999
- Invariant Subspace Approach to Linear H-infinity Control Via Measurement Feedback, Annals of O. R. (2000), accepted. (with W. W. Lin and Q. F. Xu)
- Hankel-norm Computation for LTI systems with multiple feedthrough input delays. ,Proceedings of the 30th IEEE Control and Decision Conference (EI),, December 4-7, 2001.12 .
- On Computing Singular Values and Vectors for a Class of Noncompact Hankel Operators 2001 SIAM Annual Meeting and Fifth SIAM Conference on Control and Its Applications, 2001
- Realization of functions into the symmetrised bidisc , Operator Theory :Advances and Applications , Birkhauser , 2003.
|
| Yuan-Yuan Shen |
Professor |
Ph.D.
Univ. of Maryland at College Park |
Algebra, Number theory, Cryptography |
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- Shen, Y.-Y. and Lin, W.-Y. : An Elliptic Curve Version of ElGamal Digital Signature,
Tunghai Science, 8, (2006), 1-15.
- Shen, Y.-Y. and Liao, H.-Z. : On the Elliptic Curve Digital Signature Algorithm,
Tunghai Science, 8, (2006), 71-88.
- Shen, Y.-Y. and Lin, C.-H. : An Elliptic Curve Version of Dynamic Secret Sharing Scheme, Tunghai Science, 8, (2006), 137-156.
- Shen, Y.-Y. : A Journey to Classical Cryptography with Mathematica I, Mathmedia, Institute of Math., Academia Sinica, 30, Number 1 (2006), 61-80.
http://www.math.sinica.edu.tw/math_media/d301/30108.pdf
- Shen, Y.-Y. : A Journey to Classical Cryptography with Mathematica II, Mathmedia, Institute of Math., Academia Sinica, 30, Number 2 (2006), 55-76.
http://www.math.sinica.edu.tw/math_media/d302/30206.pdf
- Shen, Y.-Y. : A Relaxing Journey to Number Theory with Mathematica, Mathmedia, Institute of Math., Academia Sinica, 29, Number 4 (2005), 45-71.
http://www.math.sinica.edu.tw/math_media/d294/29408.pdf
- Shen, Y.-Y. : A Puzzle with In‾nitely Many Pieces, Mathmedia, Institute of Math., Academia Sinica, 28, Number 3 (2004), 12-26.
http://www.math.sinica.edu.tw/math_media/d283/28302.pdf
- Shen, Y.-Y. : A Prelude to Modern Cryptography with Mathematica, Mathmedia, Institute of Math., Academia Sinica, 27, Number 1 (2003), 68-74.
http://www.math.sinica.edu.tw/math_media/d271/27108.pdf
- Shen, Y.-Y. : Exploring the Sums of Negative Powers of Positive Integers with Mathematica, Tunghai Science, 5, (2003), 61-75.
http://www2.thu.edu.tw/~sci/journal/v5/000504.pdf
- Shen, Y.-Y. : A Note on the Sums of Powers of Consecutive Integers, Tunghai Science, 5, (2003), 101-1065. Cited in http://ii.uwb.edu.pl/akk/sem/sem_rota.htm
- Shen, Y.-Y. : Climbing to Mount Ali, by Train or by Helicopter? Mathmedia, Institute of Math., Academia Sinica, 25, Number 2 (2001), 78-87.
http://www.math.sinica.edu.tw/math_media/d252/25210.pdf
<Book>
- Elementary Differential Equations , Wu Nan Book CO., LTD (2008).
- A Brief Introduction to Cryptography with Mathematica, Chuan Hwa Book CO., LTD (2006), 360 pp. (in Chinese) This work received an award from Tunghai University for Creative Teaching Excellence in the year of 2005.
- Exploring Some Topics From Advanced Calculus with Mathematica, preprint (2002), 150 pp. (in Chinese) This work received an award from Tunghai University for Creative Teaching Excellence in the year of 2002.
|
| Huang-Nan Huang |
Professor |
Ph.D.
National Chung Hsing Univ. |
Control theory, Scientific Computation |
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- Albert C.-Y. Lin, H.-N. Huang, C.-Y. Su, C.-Y. Shiuand J.-L. Hwang (2008) "Implementation of fuzzy controller for measuring instantaneous arterial blood pressures via tissue control method,"; IET Control Theory and Applications, Vol. 2, No.1, pp. 40-50.(SCI&EI)
- D.V. Alexandrov, I. G. Nizovtseva, A.P. Malygin, H.-N. Huang, D. Lee (2008) "Unidirectional Solidification of Binary Melts from a Cooled Boundary Analytical Solutions of a Nonlinear Diffusion-limited Problem," Journal of Physics: Condensed Matter, Vol. 20, No. 11, pp. 4105-4111. (SCI)
- Albert C.-Y. Lin, H.-N. Huang, C.-Y. Su, C.-Y. Shi, Y.-H. Wang, H. Tung and J.-S. Lin (2007) "A new noninvasive assessment for measuring the instantaneous intra-arterial blood pressure via tissue control method," Journal of the Chinese Institute of Engineers, Vol. 31, No. 2, pp. 261- 270. (SCI)
- D.V. Alexandrov, D.L. Aseev, I.G. Nizovtseva, H.-N. Huang, D. Lee (2007) "Nonlinear dynamics of directional solidification with a mushy layer. Analytic solutions of the problem," International Journal of Mass and Heat Transfer, Vol. 50, No. 17-18, pp. 3616-3523. (SCI)
- Albert C.-Y. Lin, H.-N. Huang, C.-Y. Su, C.-Y. Shiu, Wang Y.-H., H.-C. Chiang, H. Tung, and J.-S. Lin (2007) "On measuring the instantaneous blood pressure in an artery via the tissue control method," Physiological Measurement, Vol. 28, No. 8, pp. 937-951. (SCI&EI)
- H.-N. Huang, S.A.M. Marcantognini, and N.J. Young (2006) "Chain Rules for Higher Derivatives," The Mathematical Intelligiencer., Vol. 28, No.2, pp. 1-9. (SCI)
- Huang-Nan Huang and Fang-Bo Yeh (2006) "Hankel Operator and Singular Values of Dynamical Systems with Single Control Input Delay," Journal of the Chinese Institute of Engineers, Vol. 29, No. 2, pp. 193-200. (SCI & EI)
- H.-N. Huang, S.A.M. Marcantognini, and N.J. Young (2005) "The spectral Caratheodory-Fejer problem," Integral Equations and Operator Theory. (Published in On-line First Form) (SCI)
- 黃皇男、顏佩君、王婕,"架構於MathML並支援LaTeX輸入之數學討論版設計," 東海科學,第七卷,81-92,94年7月。
- Albert Chin-Yuh Lin, Huang-Nan Huang, Tsung-Hung Chen, Hung Tung, and Yu-Wen Huang (2004) "The architectural design for dynamic arterial compliance-measuring instrument," Biomedical Engineering- Applications, Basis & Communications, Vol. 16, No. 5, pp. 251-254. (EI)
- Albert Chin-Yuh Lin, Huang-Nan Huang, Yi-Chang Su, Hung Tung, and Yu-Wen Huang (2004) "The design and fabrication of pressure detection head," Biomedical Engineering- Applications, Basis & Communications, Vol. 16, No. 5, pp. 255-258. (EI)
- Albert Chin-Yuh Lin, Yi-Chang Su, Huang-Nan Huang, Yu-Wen Huang, and Hao-Cheng Chiang (2004) "A Novel Sphygmus Detection Device for Measuring Adjacent Blood Pressures on Radial Artery," Proceedings of the 2004 IEEE Workshop on Biomedical Circuits and Systems [BioCAS2004], Singapore, December 1-3, Vol. S2.3, pp. 13-16. (EI)
- Albert Chin-Yuh Lin, Yi-Chang Su, Huang-Nan Huang, Yu-Wen Huang (2004), "Conceptual Design of a Multi-functional Sphygmus Detection System," Proceedings of the 26th Annual International Conference of the IEEE Engineering in Medicine and Biology Society 2004 (EMBS 2004), San Francisco, September 1-5, Vol.1, pp.53-56. (EI)
- Huang-Nan Huang, Fang-Bo Yeh, and Chiu-Chun Lin (2001), "Hankel-norm Computation for LTI Systems with Multiple Feedthrough Input Delays," 40th IEEE Conference on Decision and Control, Orlando, Forida, December 4-7, pp. 143-148.(EI)
- Chien-Chang Lin and Huang-Nan Huang (1999) "Vibration control of Beam-plates with Bonded Piezoelectric Sensors and Actuators," Computers & Structures, Vol. 73, No. 1-5, pp. 239-248. (SCI & EI)
- Chien-Chang Lin, Huang-Nan Huang, and Fang-Bo Yeh (1999) "Robust Dissipator Placement Design for Truss Structures via Balancing Theory," Journal of Guidance, Control and Dynamics, Vol. 22, No. 4, pp. 558-565. (SCI & EI)
- Fang-Bo Yeh, Chien-Chang Lin, and Huang-Nan Huang (1998) "Parametric Nevanlinna-Pick Interpolation Theory," Proceedings of the National Science Council, R.O.C., Part A: Physical Science and Engineering, Vol. 22, No. 6, pp. 723-733. (EI)
- 黃皇男 、孫義方、何肇寶, "森林林下光照度之數學模型建立," 東海學報,第三十九期,65-77,87年7月。
- Chien-Chang Lin, Chih-Yu Hsu, and Huang-Nan Huang (1997) "Finite Element Analysis on Deflection Control of Plates with Piezoelectric Actuators," Journal of Composite Structures, Vol. 35, pp.423-433. (SCI & EI)
- Chien-Chang Lin, Fang-Bo Yeh, and Huang-Nan Huang, (1997), "Balanced Linear-friction Dissipator Placement for Truss Structures," Proceedings of the 36th Control and Decision Conference, San Diego, December 10-16, pp. 1387-1388. (EI)
- 黃皇男,(1987) 『飛機飛行模擬系統軟體之簡介』,第二屆系統模擬學術研習會專集,民國76年2月16-18日,第67-94頁。
<Graduate Program Students>
- 鄭惟元,碩士論文─『頻譜Caratheodory-Fejer插值問題(Spectral Caratheodory-FejerProblems)』,96年7月。(目前為中興大學電機系 博士生)
- 蘇明財,碩士論文─『應用在NAND快閃記憶體的LFSR測試 (Testing of the NAND Flash Memory with Linear Feedback Shift Registers)』,96年7月。
- 陳佳伶,碩士論文─『二階導數頻譜Caratheodory-Fejer插值問 題: 2x2case (The spectral Caratheodory-Fejerproboemwith two derivatives: 2x2case)』,95年7月。
- 陳柏仁,碩士論文─『三點頻譜Nevalinna-Pick插值問題的Γ2- inner解: 2x2case (The Γ2-inner Solution of Three-point Spectral Nevanlinna-Pick Interpolation Problem: 2x2case)』,95年7月。
- 江正光,碩士論文─『2x2矩陣之單位數值半徑球(The Numerical Radius Unit Ball for 2 x 2 Matrices)』,94年7月。
- 林詩舫,碩士論文─『最佳控制觀點下之平反比定律(Inverse square law from optimal point of view)』,94年7月。(目前為嶺東高 中教師)
- 郭威志,碩士論文─『矩陣型的Lambert W-函數及其應用於時滯系統穩 定性分析(The application of matrix lambertW function to stability analysis of delay systems)』,93年7月。
- 陳碩聰,碩士論文─『HJB方程的數值解及其應用(Numerical Solutions of HJB Equations and Its Application)』,92年7月。(目前為暨南大學電機系 博士生)
- 江明理,碩士論文─『由頻譜插值理論解μ合成問題(μ-Synthesis via Spectral Interpolation Theory)』,91年6月。(目前為台灣大學電機系博士生)
- 郭建宏,碩士論文─『HJB方程的數值解及應用(The Numerical Approximation of HJB Equations and Its Application)』,90年7月。(與本系 盧性良老師共同指導,目前為溪湖國中教師)
- 林秋君,碩士論文─『多重輸入時滯系統之Hankel範數計算(Hankel Norm Computation for Linear Time-Invariant Systems with Multiple Input Delays)』,90年6月。(目前為沙鹿高工教師)
- 彭浩軒,碩士論文─『具隨機故障性之製造系統的動態庫存控制 (Dynamic Inventory Control in Failure Prone Manufacturing Systems)』,89年 7月。(為交通大學工業工程與管理研究所博士)
|
| Gin-Yih Tsaur |
Professor |
Ph.D.
National Taiwan Univ |
Partial differential equations, Quantum theory |
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- G. Tsaur and J. Wang, A canonical approach to the action-angle formalism in quantum mechanic, Chinese Journal of Physics 49, 555-570 (2011)
- G. Tsaur, N.-H. Kang, Z.-H. Xie, S.-H. Chen, and J. Wang, Relativistic birefringence induced by high-intensity laser field in plasma, Physical Review A 83, 033801(2011).
- J. Wang and G. Tsaur et al., generation of intense ultrashort midinfrared pulses by laser-plasma interaction in the bubble regime, Physical Review A 82, 063804 (2010).
- G. Tsaur and J. Wang, Relativistic optical rectification driven by a high-intensity pulsed Gaussian beam, Physical Review A 80, 023802 (2009).
- J. Wang and G. Tsaur et al., Applications of laser-fabricated plasma structures in laser-wakefield accelerators, x-ray lasers, and plasma nonlinear optics, Journal of the Korean Physical Society 53, 3719-3725 (2008).
- G. Tsaur and J. Wang, Three-dimensional analysis of collective relativistic electron motion and coherent harmonic generation driven by an intense pulsed Gaussian beam, Physical Review A 76, 063815 (2007).
- G. Tsaur , Solitary solutions of the Schroedinger-Poisson equations in one and two dimensions, Tunghai Science 9, 29 (2007).
- G. Tsaur and J. Wang, Invariance of the canonical quantization prescription under classical canonical transformations, Chinese Journal of Physics 45, 425 (2007).
- G. Tsaur and J. Wang, Transverse oscillation in laser cavities, Physical Review A 73, 033804 (2006).
- G. Tsaur and J. Wang, Constructing Green functions of the Schroedinger equation by elementary transformations, American Journal of Physics 74, 600 (2006).
- G. Tsaur and J. Wang, Integration of the Schroedinger equation by canonical transformations, Physical Review A 65, 012104 (2002).
- G. Tsaur and J. Wang, Population diffusion and equipartition in quantum systems of many degrees of freedom, Physical Review Letters 80, 3682 (1998).
- G. Tsaur and J. Wang, Energy diffusion due to nonlinear perturbation on linear Hamiltonians, Physical Review E 54, 4657 (1996).
- 數學模型講義
|
| Li Liu |
Assoc. Prof. |
Ph. D.
Univ. of Rochester |
Stochastic process, Functional analysis, Procedure control and design, System assesment |
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- 劉力和Mark Manno,太魯閣國家公園(詞曲),花蓮縣觀光資訊網,2011/5。
- 劉力和Mark Manno,菊島風情(澎湖觀光導覽歌曲),澎湖逍遙遊官網,2011/4。
- 劉力和 Mark Manno,東海大學五首歌的組曲,1991- 2007。
- 劉力,積體電路晶圓製造逆向思維之規劃與控制技術,東海科學第7卷,pp.15-30,2005。
- 劉力,作伴看春天(原創曲),55週年二二八紀念追思音樂會,陳麟、柴寶琳、陳榮貴、葛瑞森等音樂系教授演出,台北市二二八紀念廣場, 2002.2.28。
|
| Chao-Pao Ho |
Assoc. Prof. |
Ph.D.
Iowa State Univ. |
Dynamic systems, Mathematical biology |
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<Journal Paper>
- C-P HO and C-H Lin ;Stabilization for High Order Nonliner Critical System. Tunghai Science:Vol 13,pp 17-36,2011.
- F-C Hsu and C-P,Ho; Global Stability for the Lotka-Volterra Mutualistic System with Time- Delay.Tunghai Science: Vol 8,pp81-107, 2006.
- C-M Lin and C-P,Ho;Local and Global Stability for a Predator-Prey Model of Modified Leslie-Gower and Holling-Type II with Time- Delay.Tunghai Science: Vol 8,pp33-61, 2006.
- P-Y,Tu and C-P,Ho;Stability Analysis on Nonselective Harvesting of a Predator-Prey Fishery System with Time Delays. Tunghai Science: Vol 7,pp51-80, 2005.
- H-C,Tsai and C-P,Ho;Global Stability for the Lesilie-Gower Predator-Prey System with Time- Delay and Holling's. Type Functional Response. Tunghai Science: Vol 6,pp43-72, 2004.
- H-C,Chen and C-P,Ho;Persistence and Global Stability on Competition System with Time-Delay. Tunghai Science: Vol 5,pp71-99, 2003.
- C-P, Ho and Y-L, Ou; The Influence of Time Delay on Local Stability for a Predator-Prey System . Tunghai Science: Vol 4,pp47-62, 2002.
- C-P, Ho and K-S, Lin; Global Stability for a Class of Predator-Prey Systems with Ratio-dependence. Tunghai Science: Vol 3,pp113-133, 2001.
- C-P, Ho and S-T, Hung; Global Stability for a Predator-Prey System with Predator Self-limitation. Tunghai Science: Vol 3,pp9-27, 2001.
- H-N,Hung,I-F,Sun and C-P,Ho;Establishment of General Light Index Model. Tungha Journal: Vol 39,pp65-77, 1998.
- C-P,Ho and C-H,Lin;An Analysis of the Lotka – Volterra Competition Model. Tunghai Journal: Vol 38,pp37-54, 1997.
- C-P, Ho; A Lower Bounder of the Hilbert Number. Tunghai Journal: Vol 38,pp31-36, 1997
- C-P,Ho;Second Order Shadowing Approximations for Passage Through Resonance and Capture at Resonance. Tunghai Journal: Vol 35,pp 185-217, 1994.
- C-P, Ho; A Shadowing Approximation of a System with Finitely Many Saddle Points. Tunghai Journal: Vol. 34,pp. 713-728, 1993
- H-C, Lai and C-P, Ho; Duality Theorem of Nondifferentiable Convex Multiobjective Programming. J. of Optimization Theory and Applications:Vol50,pp.407-420, 1986
<Conference Paper>
- 林坤祥,何肇寶;具有比率相關之捕食模型的整體穩定性(高雄工學院應用數學研討會,1996年6月28日至6月29日 )
- 江志明,何肇寶;藉由保護政策控制捕食系統的整體穩定性(高雄工學院應用數學研討會,1996年6月28日至6月29日 )
- C-P, Ho; A Shadowing Approach to a Finite Number of Saddle Points.( Dynamical Systems and Nonlinear Analysis, University of Cape Town, South Africa,25 January - 5 February 1993)
<Book>
- 何肇寶;動態系統及應用;全華科技圖書股份有限公司,1997.9
- 何肇寶;高等微積分;滄海書局,2001.4
- 何肇寶;微積分;滄海書局,2002.8
- 何肇寶;數理生態;全華科技圖書股份有限公司 2004.1
|
| Wei-Hua Hsieh |
Assoc. Prof. |
Ph.D.
Iowa State Univ. |
Computational biology, bioinformatics |
|
| Shing-Liang Lu |
Assoc. Prof. |
Ph.D.
Univ. of Maryland at College Park |
Partial differential equations |
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- Asymptotic Expansion of the Solution of a Boundary Value Problem, Ann. Univ. Ferrara-Sez. VII-Sc. Mat., Vol. XLV,57-73, 1999
|
| Lee, Daniel T.Y. |
Assoc. Prof. |
Ph.D.
Univ. of Maryland at College Park |
Scientific computation |
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- Domain-based Parallel Flow Computation with Interface Preconditioner, Proc. Natl. Sci. Counc, ROC(A),Vol.25 No.3.pp.172-184,2001.
- Finite-Volume-Difference Method in Fluids Computation, Transactions of the Aeronautical and Astronautical Society of the Republic of China, Vol.33 No.3 pp171-179,2001
- On the Interface and Two-Level Preconditioners in Newton- Schwarz Method,12th International Conference on Domain Decomposition Methods, pp171-181,2001.
- Many things About Multigrid That You Want to Know. Mathematics Annual Conference, Taiwan, R.O.C. Dec. 2001 .
- On the Interface and Two-Level Preconditioners in Newton-Schwarz Method. Proceedings of the 12th International Conference on Domain Decomposition Methods, edited and published by ddm.org. Feb. 2001.
- On An Improved Finite-Volume-Difference Method in Fluids Computation, Transactions of the Aeronautical Society of the Republic of China, Vol.33, No.3,pp.171-179, 2001.
- Parallel Flow Computation with Domain Based SOR Type Interface Preconditioner, Proceedings of HPCAsia 2000, Beijing, China, May 14-17, 2000, Vol. II, pp. 1046-1051.
- A Study on Parallel Flow Computation By Newton-Schwarz Method, Proceedings of the Sixth National Conference in Computational Fluid Dynamics, Taiwan, R.O.C., August 27, 1999, pp.476-483.
- Parallel Computation of Enhanced Turbulent Heat Transfer in a Channel with Periodic Ribs, in Proceedings of the Parallel CFD'98 Conference, Development and Applications of Parallel Technology, C.A. Lin ed. Elsevier, North-Holland, 1999, pp. 277-284
- 非線性系統之平行計算-區域分割方法在流體力學計算上的應用;高速計算世界 19 期, 2000,pp. 26-40, ISSN 1026-0560.
- Parallel Iterative Methods - Pipelined Iterative Methods on Combustion Problem, in Proceedings of the Parallel CFD'98 Conference, Development and Applications of Parallel Technology, C.A. Lin ed. Elsevier, North-Holland, 1999, pp. 369-377.
- A New Approach to Finite Volume-Finite Difference Methods. Chinese Journal of Numerical Mathematics and Applications, Vol 21,No 2,pp.96-102,1999.
- Asteroid Perturbations and The Possible Determination of Asteroid Masses Through The ASTROD Space Mission, Planetary and Space Science 47, 1999. pp. 339-343.
- Parallel Processing of Finding Periodic Solutions in Dynamical Systems, SOOCHOW Journal of Mathematics, Vol. 26, No. 3, pp. 271-281, July 2000.
- A Study of Iterative Methods with Alternating Direction Preprocessing on the Simulation of Backward-Facing Step Flows Trends in Mathematics, Vol. 2, pp. 45-52, Dec. 1999.
- A Study on Finite Volume Methods, Iterative Methods in Scientific Computation IV, David R. Kincaid & Anne C. Elster (eds.), pp. 275-288. IMACS, 1999.
- Parallel Flow Computation by FV and DD Methods, Digest of NCHC Research Achievements,Vol. 1,pp.25-26,1999.
|
| Wen-Haw Chen |
Assoc. Prof. Chair |
Ph.D.
National Chung Cheng Univ |
Differential geometry, Algebraic topology |
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<Journal Paper>
- Chen Sheng-Gwo; Chen, Wen-Haw, Computation of Shortest Paths between Two Curves on Surfaces by Geodesic-Like Algorithm, submitted (2011).
- Chen Sheng-Gwo; Chen, Wen-Haw, Computations of Bezier geodesic-like curves on spheres, World Academy of Science, Engineering and Technology 65 (2010), 295-298.
- Chen, Wen-Haw; Chen Sheng-Gwo, The distance between a point and a Bezier curve on a Bezier surface, World Academy of Science, Engineering and Technology 65 (2010), 291-294.
- Chen, Wen-Haw,A Note on Discrete Morse theory and Its Applications, Int. J. Pure Appl. Math. 60 (2010), no. 1, 63--70.
- Chen, Wen-Haw, On Topological Obstructions of Positively Ricci Curved Manifolds, Differential geometry, 286--290, World Sci. Publ., Hackensack, NJ, 2009.
- Chen, Wen-Haw, Ricci Curvature, Hausdorff Distance and Almost Solvability of Fundamental Groups, Pure and applied differential geometry, 57--62, Ber. Math.Shaker Verlag, Aachen, 2007.
- Chen, Wen-Haw, Shortest Paths in Time Evolution of Curves, Proceeding of the 5th Hawaii International Conference on Statistics, Mathematics and Related fields, Honolulu, Hawaii, USA, pp. 347-353 (2006).
- Chen, Wen-Haw Long-time existence of feasible paths in time evolution of curves. Int. J. Pure Appl. Math. 36 (2007), no. 4, 453--460.
- Chen, Wen-Haw; Wu, Jyh-Yang Some new obstruction results for compact positively Ricci curved manifolds. Bull. Belg. Math. Soc. Simon Stevin 13 (2006), no. 3, 441--453.
- Chen, Wen-Haw; Wu, Jyh-Yang A rigidity theorem for discrete groups. Bull. Austral. Math. Soc. 73 (2006), no. 1, 1--8.
- Chen, Wen-Haw Curvature, discrete groups and Hausdorff distance. Int. J. Pure Appl. Math. 25 (2005), no. 1, 13--20.
- Chen, Wen-Haw; Wu, Jyh-Yang Index aspect in collapsing geometry. Arch. Math. (Basel) 82 (2004), no. 4, 371--376.
- Chen, Wen-Haw Rigidity and finiteness under Ricci curvature and volume controls. Arch. Math. (Basel) 79 (2002), no. 5, 396--400.
- Chen, Wen-Haw Finite group actions on compact negatively curved manifolds. Arch. Math. (Basel) 77 (2001), no. 5, 430--433.
<Conference Paper Abstract>
- Chen, Wen-Haw (Jul 6–10, 2009): Polyhedral manifolds with lower combinatorial curvature bounds, Proceedings of the first Pacific Rim Mathematical Association Congress (PRIMA2009) pp. 133, University of New SouthWales, Sydney, Australia.
- Chen, Wen-Haw (Sep 5–8, 2008): Polyhedral Manifolds, Combinatorial Curvature and Discrete Laplace Operators, 2008非線性分析及幾何分析研討會,會議議程及論文摘要,pp. 33,溪頭台灣大學實驗林,南投。
- Chen, Wen-Haw ( Jul 14 –18 2008): Curvature, Hausdorff Distance and Path Integrals, Proceeding of the 5th European Congress of Mathematics (5ECM 2008), Amsterdam RAI, The Netherlands.
- Chen, Wen-Haw (Dec 8 –10 2006), Curvature, Hausdorff Distance and Alexandrov Spaces, 2006年數學學術研討會暨中華民國數學年會,會議議程及論文摘要,pp. 68,國立師範大學,台北。
- Chen, Wen-Haw (Jul 20–23 2005), Curvature, Fundamental Groups and Gromov-Hausdorff Distance, Proceeding of The 4th Asian Mathematical Conference (AMC 2005) pp. 50,National University of Singapore,Singapore.
- Chen, Wen-Haw (Dec 19–21 2003), Close Geometric Structures Implies Close Group Structures, 2003年數學學術研討會暨中華民國數學年會,會議議程及論文摘要,pp. 28,國立中央大學,桃園。
- Chen, Wen-Haw (Dec 6–8, 2002), Index Aspect in Collapsing Geometry, 2002年數學學術研討會暨中華民國數學年會,會議議程及論文摘要,pp. 69,逢甲大學,台中。
- Chen, Wen-Haw (Nov 23–25, 2001), Ricci Curvature, Hausdorff Convergence and LGC( )-spaces, 2001年數學學術研討會暨中華民國數學年會,會議議程及論文摘要,pp. 26,國立中興大學,台中。
<Others>
- 吳志揚、陳文豪,幾何學發展史簡介,數學傳播季刊(中央研究院數學研究所),第二十八卷第一期(109),24-33, 民國93年3月。
- 吳志揚、陳文豪,十八歲的數學,數學新天地(龍騰文化),第四期,1-4,民國92年6月。
<Graduate Program Student>
- 陳彥碩,碩士論文─『Morse Theory and Discrete Morse Theory With Their Applications』,98年7月。
|
| Tzi-Sheng Yang |
Assoc. Prof. |
Ph.D.
National Chiao Tung Univ. |
Chaotic dynamical system, Functional differential equations |
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<Journal Paper>
- Hsu, Cheng-Hsiung and Yang, Tzi-Sheng, Periodic oscillations arising and death in a delay-coupled neural loops, accepted for publication in Int. J. Bifur. and Chaos (2006)
- Hsu, Cheng-Hsiung and Yang, Tzi-Sheng, stability of cellular neural networks with distributive time delays and noise perturbation, to appear in Int. J. Bifur. and Chaos, Vol. 17, No. 2
- Hsu, Cheng-Hsiung, Yang, Suh-Yuh, Yang, Ting-Hui and Yang, Tzi-Sheng, on periodic solutions of a two-neuron network system with sigmoidal activation functions, Int. J. Bifur. and Chaos,Vol. 16, No. 5 (2006).
- Lin, Song-Sun. and Yang, Tzi-Sheng (2002), on the spatial entropy and patterns of two-dimensional cellular neural network, Int. J. Bifur. and Chaos.,Vol. 12, No. 1, 115-128.
<Conference Paper>
- Cheng-Hsiung Hsu and Tzi-Sheng Yang, bifurcation analysis of a neural loop with distributed time delays, International Conference on Chaos and Dynamical Complexity (III) (2006), Taiwan.
- Cheng-Hsiung Hsu and Tzi-Sheng Yang, stability and bifurcation of a two-neuron network with distributed time delays, Japan-Taiwan Conference on Dynamical System (III) (2005), Taiwan.
- Yean-Shing Lu, Tzi-Sheng Yang, Wey-Tzuu Shyng, valuation of foreign currency options under stochastic interest rates and volatility, p.169-188 (2004), 台灣財務學術研討會.
<Conference Paper Abstract>
- Random attractors for a class of lattice dynamical systems with noise perturbations, 2007 CTS Workshop on Dynamical system(2007), Taiwan.
- Cheng-Hsiung Hsu and Tzi-Sheng Yang, bifurcations of a neural loop with distributed delay couplings, International Conference on Nonlinear and Stochastic Dynamics, 23 (2006), ChengDu, China.
- Cheng-Hsiung Hsu and Tzi-Sheng Yang, stability of cellular neural networks with distributive time delays and noise perturbation, TMS & AMS Joint International Conference, 27 (2005), Taiwan.
- Tzi-Sheng Yang, Stability and bifurcation in a system of two coupled neurons with distributive times delay, p43, 2004數學學術研討會暨中華民國數學年會, Taiwan.
<Others>
- 以共振穿隧二極體為基礎的細胞神經網路的數學模型之研究,行政院國家科學委員會專題研究計畫成果報告(2005).
- 細胞神經網路的學習法則之研究,行政院國家科學委員會專題研究計畫成果報告(2004).
- 細胞神經網路的數學模型之研究,行政院國家科學委員會專題研究計畫成果報告(2002).
|
| Tao-Ming Wang |
Assoc. Prof. |
Ph.D.
Northeastern Univ. |
Discrete mathematics, Graph theory, Bioinformatics |
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<Journal Paper>
- "On Weakly Clique Irreducibility of NEPS Products", to appear in Utilitas Mathematica, 2010 (SCI)
- "On Edge Graceful Spectrum of Bicyclic Graphs", to appear in Congressus Numerantium, 2010.
- "On Zero Magic Sums of Integer Magic Graphs", to appear in Ars Combinatoria, 2009 (SCI)
- "On Distance Two Labelling of Unit Interval Graphs", Taiwanese Journal of Mathematics, 13 2009), no. 4, 1167-1179 (SCI)
- "On Irreducibility and Helly Properties of Maximal Cliques", Advances and Applications in Mathematical Sciences, Vol. 1, 2009, Pages 133-146
- "On Antimagic Labeling for Graph Products", Discrete Mathematics, Vol. 308, Issue 16, (2008) pp. 3624-3633 (SCI)
- "A Note on Edge-Graceful Spectra of Square of Paths", Discrete Mathematics, Vol. 308, Issue 23, (2008) pp. 5878-5885 (SCI)
- "L(2, 1)-labellings of integer distance graphs", Lecture Notes in Computer Science, Accepted November, 2007 (SCI)
- "On line graphs which are weakly maximal clique irreducible", Ars Combinatoria, 76 (2005), pp. 233--238 (SCI)
- "Toroidal Grids Are Antimagic", Lecture Notes in Computer Science3595, pp. 671-679, (2005) (SCI)
- "On characterizing weakly maximal clique irreducible graphs", Congressus Numerantium163 (2003), pp 177-188
- "On uniquely intersectable graphs", Discrete Mathematics, 1999, Vol. 207, pp 149-159 (SCI)
- "A characterization of hereditary UIM graphs", Congressus Numerantium, 126 (1997), pp 183-191
<Conference Paper>
- "On Irreducibility of Maximal Cliques", Proceeding of the 19th International Workshop on Combinatorial Algorithms (IWOCA 2008), Nagoya, Japan
- "On Greedy Clique Decompositions and Set Representations of Graphs", the 25thWorkshop on Combinatorial Mathematics and Computational Theory, April
25-26, 2008, Chung-Hua Univ., Hsin-Chu, Taiwan (第二十五屆組合數學與計算理論研討會)
- "On Graphs with a Unique Set of Maximal Cliques Covering All the Edges", Proceeding of the Asian Symposium on Computer Mathematics (ASCM 2007), December15-17, 2007, Singapore
- "L(2, 1)-labellings of integer distance graphs", Proceeding of the Asian Symposium on Computer Mathematics (ASCM 2007), December15-17, 2007, Singapore
- "New Constructions of Anti-Magic Graph Labeling", the 24thWorkshop on Combinatorial Mathematics and Computational Theory, April 27-28, 2007, Chi-Nan Univ., Pu-Li, Taiwan (第二十四屆組合數學與計算理論研討會)
- "On Distance Two Labelling Characterization of Chordal Graphs", the Mathematical Meeting and Annual Meeting of Taiwanese Mathematical Society, Dec 8-10, 2006, Taipei, Taiwan (2006年數學學術研討會暨中華民國數學會年會)
- "On Anti-Magic Labeling of Product of Graphs", the SIAM Conference on Discrete Mathematics (DM06), June 25-28, 2006, Victoria, Canada
- "On Edge Graceful Spectra of Square Paths of Odd Vertices", the 23rd Workshop on Combinatorial Mathematics and Computational Theory, April 28-29, 2006, DYU, Chang-Hwa, Taiwan (第二十三屆組合數學與計算理論研討會)
- "Toroidal Grids Are Antimagic", The Eleventh International Computing and Combinatorics Conference(COCOON 2005), Kunming, Yunnan, China, August 16-19, 2005
- "On Edge Graceful Spectra of Graphs", the 36th southeastern international conference of combinatorics, graph theory and computing(SICCGC), March 7-11, 2005, Boca Raton, FL, USA
- "On Weakly Maximal Clique Irreducible Graphs", the 34th southeastern international conference of combinatorics, graph theory and computing (SICCGC), March 5-9, 2003, Boca Raton, FL, USA
- "Maximal cliques with uni-cliqual edges", the 33rd southeastern international conference of combinatorics, graph theory and computing (SICCGC), March 4-8, 2002, Boca Raton, FL, USA
- "Recognizing hereditary uniquely intersectable graphs is polynomial", Proceeding of 28th international conference of combinatorics, graph theory and computing (SICCGC), 1997, Boca Raton, FL, USA
- "A characterization of hereditary UIM graphs", ISMP 97 (International Symposium
on Mathematical Programming), Lausanne EPFL, Switzerland, August 24-29, 1997
<Book, Technical Report and Others>
- "On uniquely intersectable graphs", Ph.D. Dissertation, Northeastern University, Boston, MA, USA
- "Data Mining on ALS Trouble Management and Tracking System: A Machine Learning Approach Applied on CRM Models", Technical Report, 1999, AT&T
- "Data Mining on High Dimensional Data Using Graph Theoretical Approach", Technical Report, 1998, AT&T
<Graduate Program Students>
- 張立偉, 2008畢業, 碩士論文"On Generalized Super Edge Magic Deficiency of Graphs"
- 郭俊麟, 2008畢業, 碩士論文"On Edge Clique Partitions and Set Representations of Graphs"
- 蕭丞志, 2006畢業, 碩士論文"On Graph Labeling Problems of Anti-Magic Type"
- 林家銘, 2009, 論文"On Labeling Problems of Graphs"
|
| Hsin-Yun Hu |
Assoc. Prof |
Ph.D.
National Sun Yat-sen Univ |
Numerical Analysis, Scientific Computation, Computational Fluid Dynamics, Computational Solid Mechanics |
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<Journal Paper>
- L. Wang, J. S. Chen and H. Y. Hu (2009), Radial basis collocation method for dynamic analysis of axially moving beams, accepted for publication in Interaction and Multiscale Mechanics.
- H. Y. Hu, J. S. Chen and W. Hu (2009), Error analysis of collocation method based on reproducing kernel approximation, Numerical Methods for Partial Differential Equations, in press. (SCI)
- H. Y. Hu, C. K. Lai and J. S. Chen (2009), A study on convergence and complexity of reproducing kernel collocation method, Interaction and Multiscale Mechanics, Vol. 2, No. 3, pp. 295-319.
- J. S. Chen, L. Wang, H. Y. Hu and S.W. Chi (2009), Subdomain radial basis collocation method for heterogeneous media, International Journal for Numerical Methods in Engineering, Vol. 80, pp. 163-190.(SCI)
- J. S. Chen, W. Hu and H. Y. Hu, Reproducing kernel enhanced local radial basis collocation method, International Journal for Numerical Methods in Engineering, Vol. 75, pp. 600-627, 2008. (SCI)
- H. Y. Hu and J. S. Chen, Radial basis collocation method and quasi-Newton iteration for nonlinear elliptic problems, Numerical Methods for Partial Differential Equations, Vol. 24, pp. 991-1017, 2008. (SCI)
- Z. C. Li, Q. Fang, S. Wang, H. Y. Hu, Superconvergence of solution derivatives of the Shortley-Weller difference approximation to elliptic equations with singularities involving the mixed type of boundary conditions, Numerical Functional Analysis and Optimization, Vol. 29, No.1 &2, pp.161-196, 2008. (SCI)
- Z. C. Li, H. Y. Hu, S. Wang and Q. Fang, Superconvergence of solution derivatives of the Shortley-Weller difference approximation to Poisson's equation with singularities on polygonal domains, accepted for publication on Applied Numerical Mathematics, 2007. (SCI)
- H. Y. Hu, J. S. Chen and W. Hu, Weighted radial basis collocation method for boundary value problems, International Journal for Numerical Method in Engineering, Vol. 69, pp. 2736-2757, 2007. (SCI)
- H. Y. Hu and Z. C. Li, Combinations of collocation and finite element methods for Poisson's equations, Computers and Mathematics with Applications, Vol.51, pp.1831-1853, 2006. (SCI)
- H. Y. Hu and Z. C. Li, Collocation methods for Poisson's equation, Computer Methods in Applied Mechanics and Engineering, Vol. 195, pp. 4139-4160, 2006. (SCI)
- Z. C. Li, T. T. Lu, H. Y. Hu and A. H.-D. Cheng, Particular solutions of Laplace's equations on polygons and new models involving mild singularities, Engineering Analysis with Boundary Elements, Vol. 29, No. 1, pp. 59-75, 2005.
- H. Y. Hu and Z. C. Li, Verification of reduced convergence rates, Computing, Vol. 74, pp. 67-73, 2005.(SCI)
- H. Y. Hu, Z. C. Li and A. H.-D. Cheng, Radial basis collocation methods for elliptic boundary value problem, Computers and Mathematics with Applications, Vol. 50, pp. 289-320, 2005. (SCI)
- T. T. Lu, H. Y. Hu and Z. C. Li, Highly accurate solutions of Motz's problem and the cracked beam problem, Engineering Analysis with Boundary Elements, Vol. 28, No. 11, pp. 1387-1403, 2004.
- Z. C. Li, H. Y. Hu, C. H. Hsu and S. Wang, Particular solutions of singularly perturbed partial differential equations with constant coefficients in rectangular domains, Part I. Convergence analysis, Journal of Computational and Applied Mathematics, Vol. 166, No. 1, pp. 181-208, 2004.
- Z. C. Li, T. T. Lu and H. Y. Hu, Collocation Trefftz methods for biharmonic equations with crack singularities, Engineering Analysis with Boundary Elements, Vol. 28, No.1, pp. 79-96, 2004.
<Book>
- Z. C. Li, T. T Lu, H. Y. Hu and A. H.-D. Cheng (January 2008), Trefftz and Collocation Methods, WITpress, Southampton, UK. (ISBN 978-1-84564-153-5, 432pp)
|
| Chur-Jen Chen |
Asst. Prof. |
Ph.D.
Wuerzburg Univ. |
Multipliers analysis |
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- "Electrophoresis in a Carreau Fluid at Arbitrary Zeta Potentials", Langmuir ,2004.7
|
| Ching-Yueh Pan |
Asst. Prof |
Ph.D.
National Taiwan Univ |
Associative rings and algebras |
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- Left annihilators characterized by differential identities, Proc. Edinb. Math. Soc. (2) 47 (2004), no. 2, 411--419.
- Prime rings and differential identities, Ph. D. thesis in National Taiwan University. 2003 June.【獲九十二年度中華民國數學會優良論文獎】
- Derivations and co-radical extensions of rings, Publ. Math. Debrecen 61 (2002), no. 1-2, 75--85.
- Projections and power reduction property for generalized identities of symmetric elements, Comm. Algebra 27 (1999), no. 6, 2521--2545.
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