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劉晉良 Jinn-Liang Liu

Jinn-Liang Liu Title Professor and Chairperson
Phone (07)591-9000 轉 7167
(07)591-9167
Fax (07)5919344
E-Mail jinnliu@nuk.edu.tw
Homepage Jinn-Liang Liu.htm
Office Room 414, College of Science
  Education 美國馬里蘭大學數學博士
美國馬里蘭大學計算機科學碩士
國立清華大學應用數學碩士
國立海洋學院河海工程學士 		top
Employment 工業技術研究院兼任顧問
國立交通大學應用數學系教授
美國德州農工大學數學系客座助理教授
國立交通大學應用數學系副教授
美國匹次堡大學數學系博後研究
美國海軍官校數學系客座助理教授 		top
Research fields

Computational Semiconductor Nanostructures
Numerical Methods for Partial Differential Equations

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Research introduction top
Journal papers
  1. Y.-C. Hsieh, J.-H. Chen, S.-C. Tseng, and J.-L. Liu, The effect of band nonparabolicity on modeling few-electron ground states of charge-tunable InAs/GaAs quantum dot, to appear in Physica E. (SCI: 1.084)
  2. R.-C. Chen and J.-L. Liu, An accelerated monotone iterative method for the quantum-corrected energy transport model, J. Comp. Phys., (2008) pp. 6266-6240. (SCI: 2.372)
  3. O. Voskobyonikov, J.-L. Liu, and J. H. Chen, Magnetically driven coupling of electronic states in quantum dot molecules, Physica Status Solidi (C) 3, pp. 3656–3659 (2006).
  4. C.M.J. Wijers, O. Voskoboynikov, and J.-L. Liu, A hybrid model for the magneto-optics of embedded nano-objects, to appear in Physica Status Solidi (C) 3, pp. 3782–3785 (2006).
  5. J.-L. Liu, J.-H. Chen, and O. Voskoboynikov, A model for semiconductor quantum dot molecule based on the current spin density functional theory, Comput. Phys. Commun. 175, pp. 575–582 (2006). (SCI: 1.515)
  6. C. M. J. Wijers, J.-H. Chu, J.-L. Liu, and O. Voskoboynikov, Optical response of layers of embedded semiconductor quantum dots, Phys. Rev. B 74 (2006), pp. 035323. (SCI: 3.075)
  7. O. Voskoboynikov, C. M. J. Wijers, J.-L. Liu, and C. P. Lee, Magneto-optics of layers of semiconductor quantum dots and nano-rings, Braz. J. Phys., 36 (2006), pp. 383-386.
  8. O. Voskoboynikov, C. M. J. Wijers, J.-L. Liu, and C. P. Lee, The magneto- optical response of layers of semiconductor quantum dots and nano-rings, Phys. Rev. B, 71 (2005), pp. 245-332. (SCI: 2.962)
  9. O. Voskoboynikov, C. M. J. Wijers, J.-L. Liu, and C. P. Lee, Interband magneto-optical transitions in a layer of semiconductor nano-rings, Europhys. Letter, 70 (2005), pp. 656-662. (SCI: 2.075)
  10. R.-C. Chen and J.-L. Liu*, A quantum corrected energy-transport model for nanoscale semiconductor devices, J. Comp. Phys., 204 (2005), pp. 131-156. (SCI: 1.762)
  11. T.-M. Hwang, W.-W. Lin, J.-L. Liu, and W. Wang, Jacobi-Davidson methods for cubic eigenvalue problems, to appear in Num. Lin. Alg. Appl,12 (2005),pp.605-624. (SCI:1.402)
  12. T.-M. Hwang, W.-W. Lin, J.-L. Liu, and W. Wang, Fixed point methods for a semiconductor quantum dot model, Math. and Comp. Modelling, 40 (2004), pp. 519-533. (SCIE:0.425)
  13. W. Wang, T.-M. Hwang, W.-W. Lin, and J.-L. Liu, Numerical methods for semiconductor hetrostructures with band nonparabolicity, J. Comp. Phys., 190 (2003), pp. 141-158. (SCI:1.762)
  14. R.-C. Chen and J.-L. Liu, An iterative method for adaptive finite element solutions of an energy transport model of semiconductor device, J. Comp. Phys., 189 (2003), pp. 579-606. (SCI:1.762)
  15. R.-C. Chen and J.-L. Liu, Monotone iterative methods for the adaptive finite element solution of semiconductor equations, J. Comp. and Applied Math., 159 (2003), pp. 341-364. (SCI:1.762)
  16. J. Jou and J.-L. Liu, A posteriori least-squares finite element error analysis for the Navier-Stokes equations, Numer. Funct. Anal. and Optimiz., 24 (2003) pp. 67-74. (SCIE:0.616)
  17. Y. Li, J.-L. Liu, O. Voskoboynikov, C. P. Lee, and S. M. Sze, Electron energy level calculations for cylindrical narrow gap semiconductor quantum dot, Comput. Phys. Commun., 140 (2001) pp. 399-404. (SCI:1.170)
  18. Y. Li, J.-L. Liu, S. M. Sze, and T.-S. Chao, A new parallel adaptive finite volume method for the numerical simulation of semiconductor devices, Comput. Phys. Commun., 142 (2001) pp. 285-298. (SCI:1.170)
  19. J. Jou and J.-L. Liu, An a posteriori finite element error analysis for the Stokes equations, J. Comput. Appl. Math., Vol. 114 (2000), pp. 333-343.(SCI:0.567)
  20. J.-L. Liu, Exact a posteriori error analysis of the least squares finite element method, Appl. Math. Comput., Vol. 116 (2000), pp. 297-305.
  21. J. Jou and J.-L. Liu, A posteriori finite element error analysis for symmetric positive differential equations, Numer. Funct. Anal. and Optimiz., Vol. 20 (1999), pp. 473-490.
  22. J. Jou and J.-L. Liu, A posteriori boundary element error estimation, J. Comput. Appl. Math., Vol. 106 (1999), pp. 1-19.
  23. J. Jou and J.-L. Liu, Anonconforming weak residual error estimator for elliptic partial differential equations, Taiwanese J. Math., Vol. 3 (1999), pp. 339-356.
  24. S.-Y. Yang and J.-L. Liu, A unified analysis of a weighted least squares method for first-order systems, Appl. Math. Comput., Vol. 92 (1998), pp. 9-27.
  25. J.-L. Liu, I.-J. Lin, and M.-C. Hsieh, An outline of adaptive computation: theory, implementation, and applications, J. Chinese Soci. Mech. Engrg., Vol. 19 (1998), pp. 149-157.
  26. S.-Y. Yang and J.-L. Liu, Analysis of least squares finite element methods for a parameter-dependent first-order system, Numer. Funct. Anal. and Optimiz., Vol. 19 (1998), pp. 191-213.
  27. S.-Y. Yang and J.-L. Liu, Least squares finite element methods for the elasticity problem, J. Comput. Appl. Math., Vol. 87 (1997), pp. 39-60.
  28. I.-J. Lin, D.-P. Chen, and J.-L. Liu, Adaptive least squares finite element methods for the Stokes problem, J. Chinese Soci. Mech. Engrg., Vol. 18 (1997), pp. 267-281.
  29. J.-L. Liu, On weak residual error estimation, SIAM J. on Scient. Comput., Vol. 17 (1996), pp. 1249-1268.
  30. J.-L. Liu and W. C. Rheinboldt, A posteriori finite element error estimators for parametrized nonlinear boundary value problems, Numer. Funct. Anal. and Optimiz., Vol. 17 (1996), pp. 605-637.
  31. J.-L. Liu, I.-J. Lin, M.-Z. Shih, R.-C. Chen, and M.-C. Hsieh, Object oriented programming of adaptive finite element and finite volume methods, Appl. Numer. Math., Vol. 21 (1996), pp. 439-467.
  32. J.-L. Liu, A finite difference method for symmetric positive differential equations, Math. Comp., 62 (1994), pp. 105-118.
  33. J.-L. Liu and W. C. Rheinboldt, A posteriori finite element error estimators for indefinite elliptic boundary value problems, Numer. Funct. Anal. and Optimiz., Vol. 15 (1994), pp. 335-356.
  34. J.-L. Liu, Weak residual error estimates for symmetric positive systems, Numer. Funct. Anal. and Optimiz., Vol. 14 (1993), pp. 607-619.
  35. W. C. Rheinboldt and J.-L. Liu, A posteriori error estimates for parametrized nonlinear equations, Nonlinear Computational Mechanics, P. Wriggers and W. Wagner, ed., Springer-Verlag, Berlin, (1991), pp. 31-46.
  36. A. K. Aziz and J.-L. Liu, A Galerkin method for the forward-backward heat equation, Math. Comp., Vol. 56 (1991), pp. 35-44.
  37. A. K. Aziz and J.-L. Liu, A weighted least squares method for the backward-forward heat equation, SIAM J. on Numer. Anal., Vol. 28 (1991), pp. 156-167.
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Conference papers
  1. A Model for Semiconductor Quantum Dot Molecule Based on the Current Spin Density Functional Theory. (7th World Congress on Computational Mechanics, Los Angeles, USA, 2006.7.16~22)
  2. C.M.J. Wijers, O. Voskoboynikov, and J.L. Liu, “A hybrid model for the magneto-optics of embedded nano-objects” The 4th International Conference on Semiconductor Quantum Dot (QD-2006) was held in Chamonix – Mont Blank, France, May 1-5, 2006.
  3. O. Voskobyonikov, J. L. Liu, and J. H. Chen, “Magnetically driven coupling of electronic states in quantum dot molecules”The 4th International Conference on Semiconductor Quantum Dot (QD-2006) was held in Chamonix – Mont Blank, France, May 1-5, 2006.
  4. A Model for Semiconductor Quantum Dot Molecule Based on the Current Spin Density Functional Theory.（2005中華民國數學年會，2005.12.14~18，東海大學）
  5. A Quantum Corrected Energy-Transport Model for Nanoscale Semiconductor Devices.（Scientific Computing Afternoon : A NCKU-NSYSU-NUK-Purdue Quadrilateral Seminar，高雄大學，2005.12.12）
  6. Y. Li, S-S. Lin, S-M. Yu, J-L. Liu, T-S. Chao and S.M. Sze, Parallel Dynamic Load Balancing for Semiconductor Device Simulations on a Linux Cluster, Proceeding of Modeling and Simulation of Microsystem, (2001), pp. 562-566.
  7. Y. Li, O. Voskoboynikov, J-L. Liu, C.P. Lee and S.M. Sze, Spin Dependent Boundary Conditions and Spin Splitting in Cylindrical Quantum Dots, Proceeding of Modeling and Simulation of Microsystem, (2001), pp.538-542.
  8. Y. Li, J.-L. Liu, T.-S. Chao, and S. M. Sze, Parallel Dynamic Partition and Adaptive Computation in Semiconductor Device Simulation, Proceeding of Tenth SIAM Conference on Parallel Processing for Scientific Computing, (2001), pp. 685-694.
  9. Y. Li, P. Chen, J.-L. Liu, S. M. Sze, and T.-S. Chao, Adaptive finite volume simulation of semiconductor devices on cluster architecture, Recent Advances in Applied and Theoretical Mathematics, WSES Press, (2000), pp. 107-113.
  10. J.-L. Liu, Y. Li, T.-S. Chao, and S. M. Sze, Internet and parallel computing in semiconductor device simulation, Signal Processing, Communications and Computer Science, N. E. Mastorakis, ed., World Scientific and Engineering Society Press, (2000), pp. 199-203.
  11. J.-L. Liu, Y. Li, and R.-C. Cheng, An energy transport model for semiconductor device, Proceedings of Mathematics Conference '99, Taipei, Taiwan, C.-T. Shieh et. al., Ed. (2000), pp. 474-481.
  12. Y. Li, S. S. Chung, and J.-L. Liu, A novel approach for the two-dimensional simulation of submicron MOSFET's using monotone iterative method, Proceedings of International Symposium on VLSI Technology, Systems, and Applications, (1999), pp. 27-30.
  13. M.-C. Hsieh, I.-J. Lin, and J.-L. Liu, An adaptive least squares finite element method for Navier-Stokes equations, Parallel Computational Fluid Dynamics: Development and Applications of Parallel Technology, C. A. Lin et al., Ed., Elsevier (1999), pp. 443-450.
  14. J.-L. Liu, A weak residual error estimator for variational inequalities, Proceedings of the Workshop on Nonlinear Partial Differential Equations, Nat'l Chung Cheng Univ., Taiwan, Jan. 14-16 (1993), pp. 223-232
  15. J.-L. Liu, Error estimators for finite element solutions of linear and nonlinear partial differential equations, Advances in Computer Methods for Partial Differential Equations - VII, R. Vichnevetsky, D. Knight and G. Richter, Ed. , IMACS, (1992), pp. 459-463.
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Monograph
 
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Other publications
半導體數學漫談  數學傳播季刊 第 24 卷 第 2 期
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Projects  
計畫名稱
執行期限
經費（元）
補助單位
半導體量子元件之數學模型與數值方法(2/3) 97.08.01-98.07.31 700,000 國家科學委員會
半導體量子元件之數學模型與數值方法(1/3) 96.08.01-97.07.31 709.000 國家科學委員會
南區高中學生數學科學研究人才培育計畫 96.08.01-97.07.31 1,500,000 國家科學委員會
以無網格法建構半導體量子元件之數學模型 96.07.01-97.02.28 47,000 國家科學委員會
南區高中數學科學研究人才培育計畫 95.08.01-96.07.31 1,500,000 教育部
奈米結構合成材料的磁光效應(2/3)(95-2112-M-009-015-) 2006/8/1 至 2007/7/31 1,087,000 國家科學委員會
計算半導體奈米結構(3/3)(95-2115-M-390-004-) 2006/8/1 至 2007/7/31 824,000 國家科學委員會
以適應性無網路法建構半導體奈米結構之數學模型 2006/07/01-2007/02/28 47,000 國家科學委員會
計算半導體奈米結構(2/3)(94-2115-M-390-007-) 2005.08.1-2006.7.31 797,000 國家科學委員會
奈米結構合成材料的磁光效應(1/3)(94-2112-M-009-037-) 2005.8.1-2006.7.31 1,214,000 國家科學委員會
計算半導體奈米結構(1/3)(93-2115-M-009-010- ) 2004.8.1-2005.7.31 940,600 國家科學委員會
半導體奈米結構之數值模擬(2/2)(92-2115-M-009-008- ) 2003.8.1-2004.7.31 1,094,100 國家科學委員會
半導體奈米結構之數值模擬(1/2)(91-2115-M-009-013- ) 2002.8.1-2003.7.31 1,109,200 國家科學委員會
有限單元有限體積與邊界單元之適應性計算(3/3)(90-2115-M-009-028- ) 2001.8.1-2002.7.31 1,239,800 國家科學委員會
有限單元有限體積與邊界單元之適應性計算(2/3)(89-2115-M-009-038- )
2000.8.1-2001.7.31
1,608,000
國家科學委員會
適應性計算之理論、實行與應用(II)
1998.8.1-1999.7.31
873,200
國家科學委員會
適應性計算之理論、實行與應用(I)
1997.8.1-1998.7.31
775,900
國家科學委員會
線性與非線性問題的期後誤差估計
1996.8.1-1997.7.31
562,000
國家科學委員會
適應性數值計算(III)
1995.8.1-1996.7.31
741,000
國家科學委員會
適應性數值計算(二)
1994.2.1-1995.7.31
1,201,000
國家科學委員會
適應性數值計算(I)
1993.2.1-1994.1.31
443,000
國家科學委員會
有限單元計算的誤差估計
1992.2.1-1993.1.31
430,500
國家科學委員會
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Talks
  1. 主持人，Mini-Workshop on Computational Mathematics and Physics.高雄大學，2006.2.24
  2. Numerical Modeling for Semiconductor Quantum Dot Molecule Based on the Current Spin Density Functional Theoy. （中山大學應用數學系邀請演講，2005.12.1）
  3. Numerical Methods and Mathematical Modeling for Quantum Mechanical Systems，應用數學系，國立高雄大學，2005/3
  4. Adaptive Finite Element and Finite Volume Simulations for Semiconductor Devices，國家理論中心，2001/6
  5. Numerical Methods for Semiconductor Equations，電子物理系，國立國立交通大學，2001/5
  6. Numerical Methods for Semiconductor Equations，物理所，國立交通大學，2001/5
  7. On Numerical Simulation of Semiconductor Quantum Dots，應用數學系，國立東華大學，2001/5
  8. 半導體方程之數值方法 Numerical Methods for Semiconductor Equations，國家理論中心，2000/1
  9. 數學在半導體工業應用之簡介，應數系，靜宜大學，1999/12
  10. An Energy Transport Model for Semiconductor Devices，1999數學年會，輔仁大學，1999/12
  11. 數學在半導體工業應用之簡介，電子工程系，國立交通大學，1999/9
  12. 數學在半導體工業應用之簡介 An Introduction to Mathematics in Semiconductor Industry，國家理論中心，1999/8
  13. An Overview of Semiconductor Device Modeling，應數系，國立中山大學，1999/3
  14. A Monotone Iterative Method for Semiconductor Device Simulation，大葉大學，1998/12
  15. An Overview of Semiconductor Device Modeling，第七屆微分方程研討會 ，蕙蓀農場，1998/12
  16. A Monotone Iterative Method for Semiconductor Device Simulation，數學系，東吳大學，1998/10
  17. Monotone Iterative Method for the Numerical Solution of Semiconductor Equations，計算數學研討會國家高速電腦中心，1998/5
  18. Adaptive Computation:Theory, Implementaion, and Applications，數學系，國立中央大學，1997/3
  19. Adaptive Computation:Theory, Implementaion, and Applications，國家高速電腦中心，1997/3
  20. Adaptive Computation on WWW，應數系，靜宜大學．1997/1
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PH.D. students  
入學年度 姓名 學校
2001
陳人豪
國立交通大學
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Master students  
博士班
畢業年度
姓名
 論文題目
2003
陳仁純
 單調迭代法應用於一個半導體元件能量傳播模型的適應性有限元素解Monotone Iterative Methods for the Adaptive Finite Element Solution of An Energy Transport Model of Semiconductor Devices
1999
周章
 期後誤差估計之通用架構A General Framework for A Posteriori Error Estimation
1998
林英哲
Adaptive Finite Element Package for Computational Mechanics
1997
楊肅煜
 Analysis of Least Squares Finite Element Methods for Boundary Value Problems of First-Order Systems
碩士班
2005
蔡維哲
 ㄧ個新密度泛函理論推導公式之三維有限元素解3D finite element solution of a new formulation in density functional theory
2004
林容羽
 一些數值方法在鐵氧磁體靜磁共鳴器Numerical methods for Ferrite Magnetostatic Resonators
2004
鄧印翔
 使用有限差分法來計算一些導體與電介質之可極化性A Finite Difference Method for Calculating Polarizability of Conductors and Dielectrics
2003
高誠志
 半導體量子井、線、點模型的異質介面近似方法與矩陣縮減方法Interface Approximation and Matrix Reduction for Semiconductor Quantum Well, Wire, and Dot Models
2002
王文楷
Grover量子演算法的繁雜度分析
2002
廖國光
 量子井，量子線及量子點的數值模擬 Numerical Simulations on Quantum Wells， Wires， and Dots
2001
林伯鴻
 量子撞球檯的數值方法 Numerical Methods for Quantum Billiards
2001
葉清河
 對多重標的物搜尋之 Grover 演算法的量子光學電路設計
2001
黎世傑
 量子運算上之多重目標搜尋演算法 A Quantum Algorithm for Multiobject Search
2000
陳泓曄
 有限差分法分析矽基底沉積製程的擴散現象A Numerical Study of Diffusion Phenomena in Semiconductor Process with Finite Difference Method
2000
陸孝年
薛丁格-卜松方程式的數值方法Numerical Methods for Schrodinger-Poisson Equations
2000
葉桂菱
 用有限元素法解波茲曼傳導方程式Finite Element Methods for the Boltzmann Transport Equation
1999
林憲環
 在Linux上半導體原件模擬的平行化Parallel Semiconductor Device Simulations on Linux
1999
王貞琪
 在超導體和半導體上的數值模擬On Numerical Simulation for Superconductivity and Semiconductivity
1998
廖本善
 以適應性有限元素法解金伯格藍道方程式Adaptive Finite Element Methods for Ginzburg-Landau Equations
1998
李義明
 單調迭代法半導體元件方程式數值解Monotone Iterative Method for the Numerical Solutions of Semiconductor Device Equations
1997
趙俊傑
 On Adaptive Boundary Element Methods
1997 賴偉昌 全球資訊網之適應性計算Adaptive Computation on the World Wide Web
1995
古素芳
 有限體積法的期後誤差估計A Posteriori Error Estimates for Finite Volume Methods
1994
劉品音
 橢圓方程系統的有限元素期後誤差估計A Posteriori Finite Element Error Estimators for Second Order Elliptic Systems
1994
游阿爽
 變分不等式的適應性有限元法逼近An Adaptive Finite Element Method for Variational Inequities Using Weak Residual Error Estimators
1994
施閔智
 適應性方法的物件導向程式設計Object Oriented Programming in Adaptive Methods: A Research Code AdaptC++
1993
林明輝
 適應性多重網格法On Adaptive Multigrid Method
1993
許弘松
 適應性有限體積單元法On Adaptive Finite Volume Method
1993
陳仁純
 Adaptive Finite Element Computations Based on Weak Residual Error Estimators
1992
黃思超
 正定對稱系統之期後誤差估計A Posteriori Error Estimates for Symmetric Positive Systems
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