Huang, Hung-Tsai: search on Z-Library

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1

Ill-conditioning of the truncated singular value decomposition, Tikhonov regularization and their applications to numerical partial differential equations

Zi-Cai Li, Hung-Tsai Huang, Yimin Wei

Journal:

Numerical Linear Algebra with Applications

Year:

2011

Language:

english

File:

PDF, 147 KB

english, 2011

2

The Method of Fundamental Solutions for the Helmholtz Equation

Li, Zi-Cai, Wei, Yimin, Chen, Yunkun, Huang, Hung-Tsai

Journal:

Applied Numerical Mathematics

Year:

2018

Language:

english

File:

PDF, 522 KB

english, 2018

3

Super-exponential growth rates of condition number in the boundary knot method for the Helmholtz equation

Zhang, Li-Ping, Li, Zi-Cai, Huang, Hung-Tsai, Chen, Zhen

Journal:

Applied Mathematics Letters

Year:

2020

Language:

english

File:

PDF, 714 KB

english, 2020

4

Neumann problems of 2D Laplace's equation by method of fundamental solutions

Li, Zi-Cai, Lee, Ming-Gong, Huang, Hung-Tsai, Chiang, John Y.

Journal:

Applied Numerical Mathematics

Year:

2017

Language:

english

File:

PDF, 477 KB

english, 2017

5

Study on effective condition number for collocation methods

Zi-Cai Li, Hung-Tsai Huang

Journal:

Engineering Analysis with Boundary Elements

Year:

2008

Language:

english

File:

PDF, 352 KB

english, 2008

6

Stability analysis of method of fundamental solutions for mixed boundary value problems of Laplace’s equation

Zi-Cai Li, Jin Huang, Hung-Tsai Huang

Journal:

Year:

2010

Language:

english

File:

PDF, 353 KB

english, 2010

7

Analysis of the method of fundamental solutions for the modified Helmholtz equation

Tian, Zhaolu, Li, Zi-Cai, Huang, Hung-Tsai, Chen, C.S.

Journal:

Applied Mathematics and Computation

Year:

2017

Language:

english

File:

PDF, 627 KB

english, 2017

8

Effective condition number for numerical partial differential equations

Zi-Cai Li, Hung-Tsai Huang

Journal:

Numerical Linear Algebra with Applications

Year:

2008

Language:

english

File:

PDF, 158 KB

english, 2008

9

Effective condition number for the finite element method using local mesh refinements

Zi-Cai Li, Hung-Tsai Huang

Journal:

Applied Numerical Mathematics

Year:

2009

Language:

english

File:

PDF, 331 KB

english, 2009

10

On solution uniqueness of elliptic boundary value problems

Zi-Cai Li, Qing Fang, Hung-Tsai Huang, Yimin Wei

Journal:

Journal of Computational and Applied Mathematics

Year:

2009

Language:

english

File:

PDF, 759 KB

english, 2009

11

Global superconvergence of Adini's elements coupled with the Trefftz method for singular problems

Hung-Tsai Huang, Zi-Cai Li

Journal:

Engineering Analysis with Boundary Elements

Year:

2003

Language:

english

File:

PDF, 226 KB

english, 2003

12

New Expansions of Numerical Eigenvalues for −△u=λpu by Nonconforming Elements

Qun Lin, Hung-Tsai Huang and Zi-Cai Li

Journal:

Mathematics of Computation

Year:

2008

Language:

english

File:

PDF, 1.30 MB

english, 2008

13

The interior field method for Laplace׳s equation in circular domains with circular holes

Li, Zi-Cai, Chiang, John Y., Huang, Hung-Tsai, Lee, Ming-Gong

Journal:

Engineering Analysis with Boundary Elements

Year:

2016

Language:

english

File:

PDF, 541 KB

english, 2016

14

Distribution of HLA-DQB1 alleles in patients with Kleine-Levin syndrome

Chi-Jung Huang, Hung-Tsai Liao, Geng-Chang Yeh, Kun-Long Hung

Journal:

Journal of Clinical Neuroscience

Year:

2012

Language:

english

File:

PDF, 139 KB

english, 2012

15

Blending curves for landing problems by numerical differential equations, III. Separation techniques

Hung-Tsai Huang, Zi-Cai Li

Journal:

Mathematical and Computer Modelling

Year:

2004

Language:

english

File:

PDF, 1.37 MB

english, 2004

16

Superconvergence and stability for boundary penalty techniques of finite difference methods

Zi-Cai Li, Hung-Tsai Huang, Jin Huang

Journal:

Numerical Methods for Partial Differential Equations

Year:

2008

Language:

english

File:

PDF, 204 KB

english, 2008

17

New expansions of numerical eigenvalues for $-\Delta u=\lambda \rho u$ by nonconforming elements

Lin, Qun, Huang, Hung-Tsai, Li, Zi-Cai

Journal:

Mathematics of Computation

Year:

2008

File:

PDF, 342 KB

2008

18

Effective condition number and its applications

Zi-Cai Li, Hung-Tsai Huang, Jeng-Tzong Chen, Yimin Wei

Journal:

Year:

2010

Language:

english

File:

PDF, 323 KB

english, 2010

19

The Laplace Equation in Three Dimensions by the Method of Fundamental Solutions and the Method of Particular Solutions

Zhang, Li-Ping, Li, Zi-Cai, Chen, Zhen, Huang, Hung-Tsai

Journal:

Applied Numerical Mathematics

Year:

2020

Language:

english

File:

PDF, 1.22 MB

english, 2020

20

Comparisons of fundamental solutions and particular solutions for Trefftz methods

Zi-Cai Li, Lih-Jier Young, Hung-Tsai Huang, Ya-Ping Liu, Alexander H.-D. Cheng

Journal:

Engineering Analysis with Boundary Elements

Year:

2010

Language:

english

File:

PDF, 1.07 MB

english, 2010

21

Effective Condition Number of Finite Difference Method for Poisson's Equation Involving Boundary Singularities

Li, Zi-Cai, Huang, Hung-Tsai, Huang, Chien-Sen, Lu, Tzon-Tzer, Fang, Qing

Journal:

Numerical Functional Analysis and Optimization

Year:

2011

Language:

english

File:

PDF, 235 KB

english, 2011

22

New expansions of numerical eigenvalues by Wilson’s element

Qun Lin, Hung-Tsai Huang, Zi-Cai Li

Journal:

Journal of Computational and Applied Mathematics

Year:

2009

Language:

english

File:

PDF, 751 KB

english, 2009

23

Stability analysis of Trefftz methods for the stick-slip problem

Tzon-Tzer Lu, Chia-Ming Chang, Hung-Tsai Huang, Zi-Cai Li

Journal:

Engineering Analysis with Boundary Elements

Year:

2009

Language:

english

File:

PDF, 325 KB

english, 2009

24

Stability analysis via condition number and effective condition number for the first kind boundary integral equations by advanced quadrature methods, a comparison

Jin Huang, Hung-Tsai Huang, Zi-Cai Li, Yimin Wei

Journal:

Engineering Analysis with Boundary Elements

Year:

2011

Language:

english

File:

PDF, 255 KB

english, 2011

25

Error analysis of the method of fundamental solutions for linear elastostatics

Li, Zi-Cai, Huang, Hung-Tsai, Lee, Ming-Gong, Chiang, John Y.

Journal:

Journal of Computational and Applied Mathematics

Year:

2013

Language:

english

File:

PDF, 584 KB

english, 2013

26

Effective condition number for simplified hybrid Trefftz methods

Zi-Cai Li, Hung-Tsai Huang

Journal:

Engineering Analysis with Boundary Elements

Year:

2008

Language:

english

File:

PDF, 281 KB

english, 2008

27

Trefftz, collocation, and other boundary methods—A comparison

Zi-Cai Li, Tzon-Tzer Lu, Hung-Tsai Huang, Alexander H.-D. Cheng

Journal:

Numerical Methods for Partial Differential Equations

Year:

2007

Language:

english

File:

PDF, 316 KB

english, 2007

28

Stability analysis for the penalty plus hybrid and the direct Trefftz methods for singularity problems

Zi-Cai Li, Hung-Tsai Huang, Jin Huang, Leevan Ling

Journal:

Engineering Analysis with Boundary Elements

Year:

2007

Language:

english

File:

PDF, 252 KB

english, 2007

29

Effective condition number of the Hermite finite element methods for biharmonic equations

Zi Cai Li, Hung-Tsai Huang, Jin Huang

Journal:

Applied Numerical Mathematics

Year:

2008

Language:

english

File:

PDF, 195 KB

english, 2008

30

Effective condition number for finite difference method

Zi-Cai Li, Cheng-Sheng Chien, Hung-Tsai Huang

Journal:

Journal of Computational and Applied Mathematics

Year:

2007

Language:

english

File:

PDF, 344 KB

english, 2007

31

Effective condition number for weighted linear least squares problems and applications to the Trefftz method

Yi-min Wei, Tzon-Tzer Lu, Hung-Tsai Huang, Zi-Cai Li

Journal:

Engineering Analysis with Boundary Elements

Year:

2012

Language:

english

File:

PDF, 251 KB

english, 2012

32

Conservative schemes and degenerate scale problems in the null-field method for Dirichlet problems of Laplace's equation in circular domains with circular holes

Lee, Ming-Gong, Li, Zi-Cai, Huang, Hung-Tsai, Chiang, John Y.

Journal:

Engineering Analysis with Boundary Elements

Year:

2013

Language:

english

File:

PDF, 324 KB

english, 2013

33

Algorithm singularity of the null-field method for Dirichlet problems of Laplace׳s equation in annular and circular domains

Lee, Ming-Gong, Li, Zi-Cai, Zhang, Liping, Huang, Hung-Tsai, Chiang, John Y.

Journal:

Engineering Analysis with Boundary Elements

Year:

2014

Language:

english

File:

PDF, 753 KB

english, 2014

34

New error estimates of Adini's elements for Poisson's equation

Hung-Tsai Huang, Zi-Cai Li, Ningning Yan

Journal:

Applied Numerical Mathematics

Year:

2004

Language:

english

File:

PDF, 531 KB

english, 2004

35

Stability analysis and superconvergence for the penalty Trefftz method coupled with FEM for singularity problems

Zi-Cai Li, Hung-Tsai Huang, Jin Huang

Journal:

Engineering Analysis with Boundary Elements

Year:

2007

Language:

english

File:

PDF, 291 KB

english, 2007

36

Blending curves for landing problems by numerical differential equations II. Numerical methods

Zi-Cai Li, Hung-Tsai Huang

Journal:

Computers & Mathematics with Applications

Year:

2000

Language:

english

File:

PDF, 1.07 MB

english, 2000

37

New expansions of numerical eigenvalues by finite elements

Hung-Tsai Huang, Zi-Cai Li, Qun Lin

Journal:

Journal of Computational and Applied Mathematics

Year:

2008

Language:

english

File:

PDF, 239 KB

english, 2008

38

The null-field method of Dirichlet problems of Laplace's equation on circular domains with circular holes

Zi-Cai Li, Hung-Tsai Huang, Cai-Pin Liaw, Ming-Gong Lee

Journal:

Engineering Analysis with Boundary Elements

Year:

2012

Language:

english

File:

PDF, 586 KB

english, 2012

39

Neumann problems of Laplace׳s equation in circular domains with circular holes by methods of field equations

Lee, Ming-Gong, Li, Zi-Cai, Huang, Hung-Tsai, Chiang, John Y.

Journal:

Engineering Analysis with Boundary Elements

Year:

2015

Language:

english

File:

PDF, 546 KB

english, 2015

40

New error estimates of biquadratic Lagrange elements for Poisson's equation

Hung-Tsai Huang, Zi-Cai Li, Aihui Zhou

Journal:

Applied Numerical Mathematics

Year:

2006

Language:

english

File:

PDF, 313 KB

english, 2006

41

Null Field and Interior Field Methods for Laplace’s Equation in Actually Punctured Disks

Huang, Hung-Tsai, Lee, Ming-Gong, Li, Zi-Cai, Chiang, John Y.

Journal:

Abstract and Applied Analysis

Year:

2013

Language:

english

File:

PDF, 410 KB

english, 2013

42

Effective condition number and superconvergence of the Trefftz method coupled with high order FEM for singularity problems

Hung-Tsai Huang, Zi-Cai Li

Journal:

Engineering Analysis with Boundary Elements

Year:

2006

Language:

english

File:

PDF, 236 KB

english, 2006

43

Rational management of simple depressed skull fractures in infants

Hung, Kun-Long, Liao, Hung-Tsai, Huang, Jing-Shan

Journal:

Journal of Neurosurgery Pediatrics

Year:

2005

Language:

english

File:

PDF, 166 KB

english, 2005

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