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1

An iterative method for adaptive finite element solutions of an energy transport model of semiconductor devices

Ren-Chuen Chen, Jinn-Liang Liu

Journal:

Journal of Computational Physics

Year:

2003

Language:

english

File:

PDF, 874 KB

english, 2003

2

A Hamiltonian model and soliton phenomenon for a two- mode KdV equation

Lee, Chun-Te, Liu, Jinn-Liang

Journal:

Rocky Mountain Journal of Mathematics

Year:

2011

File:

PDF, 495 KB

2011

3

Electron energy level calculations for cylindrical narrow gap semiconductor quantum dot

Yiming Li, Jinn-Liang Liu, O. Voskoboynikov, C.P. Lee, S.M. Sze

Journal:

Computer Physics Communications

Year:

2001

Language:

english

File:

PDF, 77 KB

english, 2001

4

Object-oriented programming of adaptive finite element and finite volume methods

Jinn-Liang Liu, Ing-Jer Lin, Miin-Zhih Shih, Ren-Chuen Chen, Mao-Chung Hsieh

Journal:

Applied Numerical Mathematics

Year:

1996

Language:

english

File:

PDF, 1.39 MB

english, 1996

5

Mathematical modeling of semiconductor quantum dots based on the nonparabolic effective-mass approximation

Liu, Jinn-Liang

Journal:

Nanoscale Systems: Mathematical Modeling, Theory and Applications

Year:

2012

Language:

english

File:

PDF, 1.60 MB

english, 2012

6

Deep learning and control algorithms of direct perception for autonomous driving

Lee, Der-Hau, Chen, Kuan-Lin, Liou, Kuan-Han, Liu, Chang-Lun, Liu, Jinn-Liang

Journal:

Applied Intelligence

Year:

2020

File:

PDF, 1.76 MB

2020

7

Generalized Debye--HÃ¼ckel Equation From Poisson--Bikerman Theory

Li, Chin-Lung, Liu, Jinn-Liang

Journal:

SIAM Journal on Applied Mathematics

Year:

2020

File:

PDF, 524 KB

2020

8

Jacobi–Davidson methods for cubic eigenvalue problems

Tsung-Min Hwang, Wen-Wei Lin, Jinn-Liang Liu, Weichung Wang

Journal:

Numerical Linear Algebra with Applications

Year:

2005

Language:

english

File:

PDF, 194 KB

english, 2005

9

Nonstationary monotone iterative methods for nonlinear partial differential equations

Ren-Chuen Chen, Jinn-Liang Liu

Journal:

Journal of Computational and Applied Mathematics

Year:

2009

Language:

english

File:

PDF, 2.40 MB

english, 2009

10

A numerical method for exact diagonalization of semiconductor quantum dot model

Jen-Hao Chen, Jinn-Liang Liu

Journal:

Computer Physics Communications

Year:

2010

Language:

english

File:

PDF, 233 KB

english, 2010

11

A quantum corrected energy-transport model for nanoscale semiconductor devices

Ren-Chuen Chen, Jinn-Liang Liu

Journal:

Journal of Computational Physics

Year:

2005

Language:

english

File:

PDF, 2.58 MB

english, 2005

12

Fixed-point methods for asemiconductor quantum dot model

Tsung-Min Hwang, Wen-Wei Lin, Jinn-Liang Liu, Weichung Wang

Journal:

Mathematical and Computer Modelling

Year:

2004

Language:

english

File:

PDF, 985 KB

english, 2004

13

The effect of band nonparabolicity on modeling few-electron ground states of charge-tunable InAs/GaAs quantum dot

Yi-Chern Hsieh, Jen-Hao Chen, Shi-Chang Tseng, Jinn-Liang Liu

Journal:

Physica E: Low-dimensional Systems and Nanostructures

Year:

2009

Language:

english

File:

PDF, 429 KB

english, 2009

14

A new parallel adaptive finite volume method for the numerical simulation of semiconductor devices

Yiming Li, Jinn-Liang Liu, Tien-Sheng Chao, S.M. Sze

Journal:

Computer Physics Communications

Year:

2001

Language:

english

File:

PDF, 88 KB

english, 2001

15

Numerical methods for semiconductor heterostructures with band nonparabolicity

Weichung Wang, Tsung-Min Hwang, Wen-Wei Lin, Jinn-Liang Liu

Journal:

Journal of Computational Physics

Year:

2003

Language:

english

File:

PDF, 457 KB

english, 2003

16

A unified analysis of a weighted least squares method for first-order systems

Suh-Yuh Yang, Jinn-Liang Liu

Journal:

Applied Mathematics and Computation

Year:

1998

Language:

english

File:

PDF, 780 KB

english, 1998

17

Monotone iterative methods for the adaptive finite element solution of semiconductor equations

Ren-Chuen Chen, Jinn-Liang Liu

Journal:

Journal of Computational and Applied Mathematics

Year:

2003

Language:

english

File:

PDF, 523 KB

english, 2003

18

Least-squares finite element methods for the elasticity problem

Suh-Yuh Yang, Jinn-Liang Liu

Journal:

Journal of Computational and Applied Mathematics

Year:

1997

Language:

english

File:

PDF, 1.05 MB

english, 1997

19

A posteriori boundary element error estimation

Jang Jou, Jinn-Liang Liu

Journal:

Journal of Computational and Applied Mathematics

Year:

1999

Language:

english

File:

PDF, 180 KB

english, 1999

20

An a posteriori finite element error analysis for the stokes equations

Jang Jou, Jinn-Liang Liu

Journal:

Journal of Computational and Applied Mathematics

Year:

2000

Language:

english

File:

PDF, 96 KB

english, 2000

21

A model for semiconductor quantum dot molecule based on the current spin density functional theory

Jinn-Liang Liu, Jen-Hao Chen, O. Voskoboynikov

Journal:

Computer Physics Communications

Year:

2006

Language:

english

File:

PDF, 301 KB

english, 2006

22

An accelerated monotone iterative method for the quantum-corrected energy transport model

Ren-Chuen Chen, Jinn-Liang Liu

Journal:

Journal of Computational Physics

Year:

2008

Language:

english

File:

PDF, 608 KB

english, 2008

23

Exact a posteriori error analysis of the least squares finite element method

Journal:

Applied Mathematics and Computation

Year:

2000

Language:

english

File:

PDF, 113 KB

english, 2000

24

On Weak Residual Error Estimation

Liu, Jinn-Liang

Journal:

SIAM Journal on Scientific Computing

Year:

1996

Language:

english

File:

PDF, 2.25 MB

english, 1996

25

Correlated Ions in a Calcium Channel Model: A Poisson–Fermi Theory

Liu, Jinn-Liang, Eisenberg, Bob

Journal:

Journal of Physical Chemistry B

Year:

2013

Language:

english

File:

PDF, 707 KB

english, 2013

26

A Finite Difference Method for Symmetric Positive Differential Equations

Journal:

Mathematics of Computation

Year:

1994

Language:

english

File:

PDF, 1.29 MB

english, 1994

27

Numerical methods for the Poisson–Fermi equation in electrolytes

Liu, Jinn-Liang

Journal:

Journal of Computational Physics

Year:

2013

Language:

english

File:

PDF, 975 KB

english, 2013

28

Poisson-Fermi Model of a Calcium Channel: Correlations and Dielectric Coefficient are Computed Outputs

Eisenberg, Bob, Liu, Jinn-Liang

Journal:

Biophysical Journal

Year:

2014

Language:

english

File:

PDF, 117 KB

english, 2014

29

Weak residual error estimates for symmetric positive systems

Liu, Jinn-Liang

Journal:

Numerical Functional Analysis and Optimization

Year:

1993

Language:

english

File:

PDF, 1.32 MB

english, 1993

30

A Posteriori Least-Squares Finite Element Error Analysis for the Navier–Stokes Equations

Jou, Jang, Liu, Jinn-Liang

Journal:

Numerical Functional Analysis and Optimization

Year:

2003

Language:

english

File:

PDF, 183 KB

english, 2003

31

[IEEE International Symposium on VLSI Technology Systems and Applications - Taipei, Taiwan (8-10 June 1999)] 1999 International Symposium on VLSI Technology, Systems, and Applications. Proceedings of Technical Papers. (Cat. No.99TH8453) - A novel approach for the two-dimensional simulation of submicron MOSFETs using monotone iterative method

Yiming Li,, Chung, S.S., Jinn-Liang Liu,

Year:

1999

Language:

english

File:

PDF, 346 KB

english, 1999

32

A Posteriori Finite Element Error Analysis for Symmetric Positive Differential Equations

Jou, Jang, Liu, Jinn-Liang

Journal:

Numerical Functional Analysis and Optimization

Year:

1999

Language:

english

File:

PDF, 1.41 MB

english, 1999

33

Analytical models of calcium binding in a calcium channel

Liu, Jinn-Liang, Eisenberg, Bob

Journal:

The Journal of Chemical Physics

Year:

2014

Language:

english

File:

PDF, 1.36 MB

english, 2014

34

A posteriori finite element error estimators for indefinite elliptic boundary value problems ∗

Liu, Jinn-Liang, Rheinboldt, Werner C.

Journal:

Numerical Functional Analysis and Optimization

Year:

1994

Language:

english

File:

PDF, 1.60 MB

english, 1994

35

Analysis of least squares finite element methods for a parameter-dependent first-order system *

Yang, Suh-Yuh, Liu, Jinn-Liang

Journal:

Numerical Functional Analysis and Optimization

Year:

1998

Language:

english

File:

PDF, 1.83 MB

english, 1998

36

THE SECOND-ORDER KdV EQUATION AND ITS SOLITON-LIKE SOLUTION

LEE, CHUN-TE, LIU, JINN-LIANG, LEE, CHUN-CHE, KANG, YAW-HONG

Journal:

Modern Physics Letters B

Year:

2009

Language:

english

File:

PDF, 990 KB

english, 2009

37

Poisson-Nernst-Planck-Fermi theory for modeling biological ion channels

Liu, Jinn-Liang, Eisenberg, Bob

Journal:

The Journal of Chemical Physics

Year:

2014

Language:

english

File:

PDF, 1.69 MB

english, 2014

38

Poisson–Fermi model of single ion activities in aqueous solutions

Liu, Jinn-Liang, Eisenberg, Bob

Journal:

Chemical Physics Letters

Year:

2015

Language:

english

File:

PDF, 517 KB

english, 2015

39

Poisson-Fermi Modeling of the Ion Exchange Mechanism of the Sodium/Calcium Exchanger

Liu, Jinn-Liang, Hsieh, Hann-jeng, Eisenberg, Robert S.

Journal:

Journal of Physical Chemistry B

Year:

2016

Language:

english

File:

PDF, 1.49 MB

english, 2016

40

Binding Sites of the Ca/Na Exchanger NCX Analyzed with Poisson Fermi Theory

Liu, Jinn-Liang, Eisenberg, Robert S.

Journal:

Biophysical Journal

Year:

2016

Language:

english

File:

PDF, 44 KB

english, 2016

41

Numerical methods for a Poisson-Nernst-Planck-Fermi model of biological ion channels

Liu, Jinn-Liang, Eisenberg, Bob

Journal:

Physical Review E

Year:

2015

Language:

english

File:

PDF, 1.17 MB

english, 2015

42

Nonlocal Poisson-Fermi model for ionic solvent

Xie, Dexuan, Liu, Jinn-Liang, Eisenberg, Bob

Journal:

Physical Review E

Year:

2016

Language:

english

File:

PDF, 375 KB

english, 2016

43

A posteriori error control in numerical simulations of semiconductor nanodevices

Chen, Ren-Chuen, Li, Chun-Hsien, Liu, Jinn-Liang

Journal:

Computer Physics Communications

Year:

2016

Language:

english

File:

PDF, 1.00 MB

english, 2016

44

Poisson-Fermi modeling of ion activities in aqueous single and mixed electrolyte solutions at variable temperature

Liu, Jinn-Liang, Eisenberg, Bob

Journal:

The Journal of Chemical Physics

Year:

2018

Language:

english

File:

PDF, 626 KB

english, 2018

45

A GPU Poisson–Fermi solver for ion channel simulations

Chen, Jen-Hao, Chen, Ren-Chuen, Liu, Jinn-Liang

Journal:

Computer Physics Communications

Year:

2018

Language:

english

File:

PDF, 1023 KB

english, 2018

46

Magnetic quantum number dependence of hydrogen photoelectron under circularly polarized pulse in barrier suppression ionization regime

Jheng, Shih-Da, Jiang, Tsin-Fu, Chen, Jen Hao, Liu, Jinn-Liang

Journal:

Physica Scripta

Year:

2018

Language:

english

File:

PDF, 3.62 MB

english, 2018

47

A Quantum Corrected Poisson-Nernst-Planck Model for Biological Ion Channels

Liu, Jinn-Liang

Journal:

Computational and Mathematical Biophysics

Year:

2015

Language:

english

File:

PDF, 342 KB

english, 2015

48

Poisson-Fermi Formulation of Nonlocal Electrostatics in Electrolyte Solutions

Liu, Jinn-Liang, Xie, Dexuan, Eisenberg, Bob

Journal:

Computational and Mathematical Biophysics

Year:

2017

Language:

english

File:

PDF, 458 KB

english, 2017

49

A generalized Debye-Hückel theory of electrolyte solutions

Liu, Jinn-Liang, Li, Chin-Lung

Journal:

Year:

2019

Language:

english

File:

PDF, 1019 KB

english, 2019

50

Molecular Mean-Field Theory of Ionic Solutions: A Poisson-Nernst-Planck-Bikerman Model

Liu, Jinn-Liang, Eisenberg, Bob

Journal:

Year:

2020

File:

PDF, 1.20 MB

2020

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