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副院長

黃杰森(Chieh-Sen Huang)教授  

   服 務 單 位:國立中山大學應用數學系

   研究室電話: 07-5252000-3830

   研 究 專 長: 數值分析、偏微分方程

                      Numerical Analysis, Partial Differential Equations

     E-mailhuangcs@math.nsysu.edu.tw

    個人網頁http://www.math.nsysu.edu.tw/~huangcs/index.html

   

最高學歷

 美國Purdue大學數學所(1998)

目前擔任職務

理學院副院長(2018.02.01起)

 跨領域及數據科研究中心/主任(2015.05-2016.07,2017.02-迄今)

 國立中山大學應數系/教授(2007.02-迄今)

經歷

● 主任 :國立中山大學跨領域及數據科學研究中心(2015.08-2016.07,2017.02-迄今)

 副處長 :國立中山大學圖資處(2013.11-2015.07)

 組長 :國立中山大學圖書館資訊系統組( 2006.08-2008.07)

 教授:國立中山大學(2007.02-迄今)

 副教授:國立中山大學(2001.08-2007.01) 

 助理教授:國立中山大學(1998.08-2001.07)

 助教:Purdue 大學(1993.08-1998.07)

 講師:元智大學(1992.09-1993.06)

 助教:國立清華大學(1990.09-1992.06)

研究方向

*特徵法(characteristic approximation methods)

*最佳化控制計算(optimal control computation)

*區域分割法(domain decomposition methods)

*交替方向法(Alternating Direction Methods)

*無網格法(Meshless Methods)

*金融數學(Mathematical Finance)

*大數據平行計算(big data parallel computing)

國際交流經歷
 
1.受邀訪問巴西國家計算實驗室美國Purdue 大學,德州大學,賓州州立大學,西澳大學及香港理工大學
 
2.Research Fellow : ICES, The University of Texas at Austin 2016.08-12 on leave from 中山大學

3.Research Fellow : ICES, The University of Texas at Austin 2012.01-05 on leave from 中山大學

4.Research Fellow : ICES, The University of Texas at Austin 2008.08-12 on leave from 中山大學

5.Research Fellow : ICES, The University of Texas at Austin 2003.08-12 on leave from 中山大學

 

獎勵與榮譽
 
◎ 國立中山大學理學院教學績優教師(2013,2014,2017)
 
◎ 國立中山大學研究績優獎勵(2012~2017)
 
◎ 國立中山大學教學績優教師(2017)
 
◎ 國立中山大學教學優良課程(2010, 2012, 2013, 2014)
 
◎ 國立中山大學優良導師(2006)
 
◎ 國立中山大學理學院優良導師(2006)
 
◎ 教育部基礎科學教育改進計畫優等獎(2004)
 
◎ 國立中山大學優良導師應數系代表(2002, 2006)
 
◎ 國科會科學與技術人員國外短期研究(2003, 2008, 2012)
 
◎ 國科會/科技部計畫主持人(1998-2018)
 
◎ 國科會甲種獎助(1998-2000)
 
 
代表著作
 

(A) 期刊論文

[1]      J. Douglas, Jr., and C.-S. Huang, “An accelerated domain decomposition procedure based on Robin transmission conditions”, BIT, 37 (1997) 678–686. [SCI, Purdue University] (1997 Impact Factor:0.474)

[2]      J. Douglas, Jr., and C.-S. Huang, “Accelerated domain decomposition iterative procedures for mixed methods based on Robin transmission conditions”.Calcolo, 35 (1998) 131–147. [SCI Expanded, NSYSU]

[3]      J. Douglas, Jr., C.-S. Huang, and F. Pereira, “The modified method of characteristics with adjusted advection”. Numer. Math., 83 (1999) , page 353–369. [NSYSU, SCI] (1999 Impact Factor:0.968)

[4]      C.-S. Huang*, S. Wang, and K.L. Teo, “Solving Hamilton-Jacobi-Bellman equations by a Modified Method of Characteristics.” Nonlinear Analysis, 40 (2000), 279-293. [NSYSU, SCI] (2000 Impact Factor:0.458)

[5]      C.-S. Huang, “Convergence analysis of a mass-conserving approximation of immiscible displacement by a modified method of characteristics with adjusted advection.” Computational Geosciences, 4 (2000), 165-184.[NSYSU, SCI] (2000 Impact Factor:0.344)

[6]      J. Douglas, Jr., and C.-S. Huang*, “A Locally Conservative Eulerian-Lagrangian Finite Difference Method for a Parabolic Equation.” BIT, 41 (2001), 480-489. [NSYSU, SCI] (2001 Impact Factor:0.835)

[7]      Jim Douglas, Jr, C.-S. Huang*, and Anna M. Spagnuolo, “Fractally Fractured Porous Media and Nuclear Contamination.” Computational and Applied Mathematics, 21 (2002) 409-428. [NSYSU] (2002 Impact Factor:0.564)

[8]  C.-S. Huang*, S. Wang, and K.L. Teo, “On application of an alternating direction method to Hamilton-Jacobin- Bellman equations.” Journal of Computational and Applied Mathematics 166 (1), (2004), 153-166. [NSYSU, SCI ] (2004 Impact Factor:0.486)

[9]  Z.-C. Li, C.-S. Huang, and Chen “Interior Boundary Conditions in the Schwarz Alternating method for the Trefftz Method.” Engineering Analysis with Boundary Elements 29 (2005) 477-493. [NSYSU, SCI] (2005 Impact Factor:0.894)

[10]  C.-S. Huang*,C.-H. Hung and S. Wang  “A fitted finite volume method for the valuation of options on assets with stochastic volatilities.” Computing Vol 77, No 3 (2006) 297-320. [NSYSU, SCI] (2006 Impact Factor:0.949)

                                                                                

[11]  C.-S. Huang*, S. Wang,  C.S. Chen, and Z.-C. Li  “A Radial Basis Collocation Method for Hamilton-Jacobi-Bellman Equations.”  Automatica 42 (2006) 2201-2207. [NSYSU, SCI] (2006 Impact Factor:1.693)

[12]  Todd Arbogast and C.-S. Huang*  “A fully mass and volume conserving implementation of a characteristic method for transport problems.” SIAM Journal on Scientific Computing, Vol 28, Issue 6 (2006) 2001-2022. [NSYSU, SCI] (2006 Impact Factor:1.509)

[13]  C.S. Chen, Sungwook Lee, and C.-S. Huang “Derivation of particular solutions using Chebyshev polynomial based functions.” International Journal of Computational methods, Vol. 4, No. 1, (2007) 15-32 [NSYSU, SCI]

[14] C.-S. Huang*, C.-F. Lee, and A.H.-D. Cheng “Error Estimate, Optimal Shape Factor, and High Precision Computation of Multiquadric Collocation Method.” Engineering Analysis with Boundary Elements, , Vol 31, Issue 7, (2007) 614-623. [NSYSU, SCI] (2007 Impact Factor:0.936)

[15]  Todd Arbogast,  C.-S. Huang* and S.-M. Yang  “ Improved Accuracy for Alternating-Direction  Methods for Parabolic Equations Based on Regular and Mixed Finite Elements” Mathematical Models and Methods in Applied Sciences. , Vol. 17, No. 8, (2007) 1–27 [NSYSU, SCI] (2007 Impact Factor:1.671)

[16]  S. Wang and C.S. Huang “A power penalty method for a nonlinear parabolic complementarity problem.” Nonlinear Analysis Series A: Theory, Methods & Applications, Vol 69 Issue 4 (2008) 1125—1137 [NSYSU, SCI](2008 Impact Factor:1.295)

[17]  C.-S. Huang, C.-H. Hung and S. Wang "On Convergence of a Fitted Finite Volume Method for the Valuation of Options on Assets with Stochastic Volatilities." (2010) IMA Journal of Numerical Analysis. 30, 1101–1120 [NSYSU, SCI](2008 Impact Factor: 1.405)

[18]  Todd Arbogast and C.-S. Huang* , “A fully conservative Eulerian-Lagrangian method for a convection-diffusion problem in a solenoidal field.” (2010) Journal of Computational Physics 229, pp. 3415-3427. [NSYSU, SCI](2010 Impact Factor: 2.346)

[19]  C.-S. Huang*, H.-D. Yen and A.H.-D. Cheng, “On the Increasingly Flat Radial Basis Function and Optimal Shape Parameter for the Solution of Elliptic PDEs. ” Engineering Analysis with Boundary Elements, , Vol 34, Issue 9, (2010) 802-809. [NSYSU, SCI] (2010 Impact Factor: 1.359)

[20]  Z.C. Li,  H.-T. Hung, C. -S. Hunag, T.-T. Lu and Q. Fang, “ Effective Condition Number of Finite Difference Method for Poisson's Equation Involving Boundary Singularities”, (2011) Numerical Functional Analysis and Optimization, Vol 32 Issue 6, 659-681. [NSYSU, SCI] (2011 Impact Factor: 0.711)

[21]  C.S. Huang, Y. C. Huang, and P. J. Lai. “Modified Genetic Algorithms for Solving Fuzzy Flow Shop Scheduling Problems and Their Implementation with CUDA”, (2012) Expert Systems With Applications, Vol 39, Issue 5, 4999-5005.

    (2011 Impact Factor: 2.203)

[22] C.S. Huang*, Todd Arbogast and J. Qui. “An Eulerian-Lagrangian WENO Finite Volume Scheme for Advection Problems”, (2012) Journal of Computational Physics, , 231, 4028-4052. [NSYSU, SCI] (2011 Impact Factor: 2.310)

[23]  Todd Arbogast , C.-S. Huang* and T.F. Russell, “A Locally Conservative Eulerian-Lagrangian Method for a Model Two-Phase Flow Problem in a One-Dimensional Porous Medium.”  (2012)SIAM Journal on Scientific Computing, Vol 34, Issue 4, A 1950-A1974 [NSYSU, SCI] (2011 Impact Factor: 1.569)

[24]  Todd Arbogast, C.S. Huang* and C.H. Hung, “A Fully Conservative Eulerian-Lagrangian Stream-Tube Method for Advection-Diffusion Problems.” (2012) SIAM Journal on Scientific Computing, Vol 34, Issue 4, B 447-B478 [NSYSU, SCI] (2011 Impact Factor: 1.569)

[25]  C.S. Chen, C.S. Huang* and K.H. Lin, “On the convergence of the MFS-MPS Scheme for 1D Poisson's Equation”, (2013) International Journal of Computational Methods, vol 10, No 2 1341007 [NSYSU, SCI] (2011 Impact Factor: 0.761)

[26]  C.-S. Huang*, T. Arbogast, and C.~Hung., “A re-averaged WENO reconstruction and a third order CWENO scheme for hyperbolic conservation laws”,  (2014) Journal of Computational Physics, 262C (2014), pp. 291-312. [NSYSU, SCI]

[27]  C.-S. Huang*, F. Xiao, and T. Arbogast, “Fifth order multi-moment WENO schemes for hyperbolic conservation laws”, (2015) Journal of Scientific Computing Volume 64, Issue 2, Page 477-507 DOI: 10.1007/s10915-014-9940-z [NSYSU, SCI]

[28]  C.-S. Huang, C.-H. Hung* and S. Wang. “Computing eigenmodes of elliptic operators using increasingly flat radial basis functions”, (2016) Engineering Analysis with Boundary Elements, Vol 66, 12--19.

[29]  C.-S. Huang*, T. Arbogast, and C.~Hung., “A semi-Lagrangian finite difference WENO scheme for scalar nonlinear conservation laws”,  (2016) Journal of Computational Physics, 322, pp. 559-585. [NSYSU, SCI]

[30]  C.-S. Huang*, T. Arbogast, “An Eulerian–Lagrangian Weighted Essentially Nonoscillatory scheme for nonlinear conservation laws”, (2016) Numerical Methods for Partial Differential Equations,  DOI: 10.1002/num.22091.[NSYSU, SCI]

 (*代表通訊作者)

(B) 專書論文

[1]      J. Douglas, Jr., C.-S. Huang, and F. Pereira, “The modified method of characteristics with adjusted advection for an immiscible displacement problem”. In “Advances in Computational Mathematics”, Lecture Notes in Pure and Applied Mathematics, vol. 202, pages 53–73, Marcel Dekker, Inc., New York, Basel, Hong Kong, 1999. Z. Chen, Y. Li, C. A. Micchelli, and Y. Xu, eds. [NSYSU]

[2]      C.-S. Huang*, and Anna M. Spagnuolo, “Implementation and Computation of the Locally Conservative Eulerian-Lagrangian Method Applied to Nuclear Contaminant Transport.” Lecture Notes in Physics, (2000), Vol. 552, 79-189. [NSYSU]

(C) 研討會論文

[1]  C.-S. Huang* and S. Wang, “Solving Hamilton-Jacobi-Bellman Equations by the Alternating Direction Methods.” Proceedings of conference on “An International Conference on Boundary –Computational & Asymbtotic Analysis and Interior Layers.” University of Western Australia Press, (2002), 146-152