Zi-Cai Li

According to our database, Zi-Cai Li authored at least 54 papers between 1988 and 2023.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2023

Lower and upper bounds of condition number for Vandermonde-wise matrices and method of fundamental solutions using pseudo radial-lines.

Liping Zhang, Zi-Cai Li, Ming-Gong Lee, Hung-Tsai Huang

Numer. Linear Algebra Appl., March, 2023

2022

Spurious eigenvalue-free algorithms of the method of fundamental solutions for solving the Helmholtz equation in bounded multiply connected domains.

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

Numer. Algorithms, 2022

Stability analysis of the method of fundamental solutions with smooth closed pseudo-boundaries for Laplace's equation: better pseudo-boundaries.

Li-Ping Zhang, Zi-Cai Li, Ming-Gong Lee, Hung-Tsai Huang

Numer. Algorithms, 2022

2020

Source nodes on elliptic pseudo-boundaries in the method of fundamental solutions for Laplace's equation; selection of pseudo-boundaries.

Fang-Fang Dou, Liping Zhang, Zi-Cai Li, C. S. Chen

J. Comput. Appl. Math., 2020

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

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

Appl. Math. Lett., 2020

2018

Analysis on the method of fundamental solutions for biharmonic equations.

Fang-Fang Dou, Zi-Cai Li, C. S. Chen, Zhaolu Tian

Appl. Math. Comput., 2018

2017

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

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

Appl. Math. Comput., 2017

2013

Error analysis of the method of fundamental solutions for linear elastostatics.

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

J. Comput. Appl. Math., 2013

Efficient spectral collocation and continuation methods for symmetry-breaking solutions of rotating Bose-Einstein condensates.

S.-Y. Chen, Zi-Cai Li, Y.-S. Wang, Cheng-Sheng Chien

Int. J. Comput. Math., 2013

2012

Splitting extrapolation algorithm for first kind boundary integral equations with singularities by mechanical quadrature methods.

Jin Huang, Guang Zeng, Xiaoming He, Zi-Cai Li

Adv. Comput. Math., 2012

2011

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

Numer. Linear Algebra Appl., 2011

The Trefftz method using fundamental solutions for biharmonic equations.

Zi-Cai Li, Ming-Gong Lee, John Y. Chiang, Ya-Ping Liu

J. Comput. Appl. Math., 2011

New splitting algorithms for geometric transformations of digital images and their error analysis.

Zi-Cai Li, John Y. Chiang, Ching Y. Suen

Int. J. Imaging Syst. Technol., 2011

A spectral collocation method for a rotating Bose-Einstein condensation in optical lattices.

Zi-Cai Li, S.-Y. Chen, Cheng-Sheng Chien, Huei-Shuang Chen

Comput. Phys. Commun., 2011

New series expansions for fundamental solutions of linear elastostatics in 2D.

Zi-Cai Li, Ming-Gong Lee, Jeng-Tzong Chen

Computing, 2011

2010

Face Transformation With Harmonic Models by the Finite-Volume Method With Delaunay Triangulation.

Zi-Cai Li, John Y. Chiang, Ching Y. Suen

IEEE Trans. Syst. Man Cybern. Part B, 2010

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

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

Computing, 2010

Effective condition number and its applications.

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

Computing, 2010

2009

Effective condition number of Trefftz methods for biharmonic equations with crack singularities.

Zi-Cai Li, Tzon-Tzer Lu, Yimin Wei

Numer. Linear Algebra Appl., 2009

On solution uniqueness of elliptic boundary value problems.

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

J. Comput. Appl. Math., 2009

Superconvergence of bi-k-Lagrange elements for eigenvalue problems.

Zi-Cai Li, Cheng-Sheng Chien, H.-T. Huang, Bor-Wen Jeng

Comput. Phys. Commun., 2009

2008

Effective condition number for numerical partial differential equations.

Zi-Cai Li, Hung-Tsai Huang

Numer. Linear Algebra Appl., 2008

A time-independent approach for computing wave functions of the Schrödinger-Poisson system.

Cheng-Sheng Chien, Bor-Wen Jeng, Zi-Cai Li

Numer. Linear Algebra Appl., 2008

New expansions of numerical eigenvalues for -Δu = λρu by nonconforming elements.

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

Math. Comput., 2008

Superconvergence of Fems and Numerical Continuation for Parameter-Dependent Problems with Folds.

Cheng-Sheng Chien, H.-T. Huang, Bor-Wen Jeng, Zi-Cai Li

Int. J. Bifurc. Chaos, 2008

A finite difference continuation method for computing energy levels of Bose-Einstein condensates.

Shing-Lin Chang, Cheng-Sheng Chien, Zi-Cai Li

Comput. Phys. Commun., 2008

Accurate and approximate analytic solutions of singularly perturbed differential equations with two-dimensional boundary layers.

Zi-Cai Li, Heng-Shuing Tsai, Song Wang, John J. H. Miller

Comput. Math. Appl., 2008

2006

Special boundary approximation methods for laplace equation problems with boundary singularities - Applications to the motz problem.

Zi-Cai Li, Y. L. Chan, Georgios C. Georgiou, Christos Xenophontos

Comput. Math. Appl., 2006

Combinations of collocation and finite-element methods for Poisson's equation.

Hsin-Yun Hu, Zi-Cai Li

Comput. Math. Appl., 2006

A radial basis collocation method for Hamilton-Jacobi-Bellman equations.

Chieh-Sen Huang, Song Wang, C. S. Chen, Zi-Cai Li

Autom., 2006

2005

Verification of Reduced Convergence Rates.

Hsin-Yun Hu, Zi-Cai Li

Computing, 2005

The cracked-beam problem solved by the boundary approximation method.

Tzon-Tzer Lu, Zi-Cai Li

Appl. Math. Lett., 2005

2004

Numerical algorithms for image geometric transformations and applications.

Zi-Cai Li, Huaiqing Wang, Stephen S. Y. Liao

IEEE Trans. Syst. Man Cybern. Part B, 2004

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

Hung-Tsai Huang, Zi-Cai Li

Math. Comput. Model., 2004

2003

A nonconforming combination of the finite element and volume methods with an anisotropic mesh refinement for a singularly perturbed convection-diffusion equation.

Song Wang, Zi-Cai Li

Math. Comput., 2003

2002

New Algorithm for Geometric Transformations of Digital Images and Patterns.

Zi-Cai Li, J. Y. Lin, Ching Y. Suen, H. Wang

Proceedings of the 16th International Conference on Pattern Recognition, 2002

2000

Crucial combinations for the recognition of handwritten letters.

Zi-Cai Li, Ching Y. Suen

Pattern Recognit. Lett., 2000

The partition-combination method for recognition of handwritten characters.

Zi-Cai Li, Ching Y. Suen

Pattern Recognit. Lett., 2000

Global Superconvergence of Simplified Hybrid Combinations for Elliptic Equations with Singularities, I. Basic Theorem.

Zi-Cai Li

Computing, 2000

1996

Analysis of discrete techniques for image transformation.

Zi-Cai Li

Numer. Algorithms, 1996

1995

A regional decomposition method for recognizing handprinted characters.

Zi-Cai Li, Ching Y. Suen, J. Guo

IEEE Trans. Syst. Man Cybern., 1995

Splitting-integrating method for inverse transformation of<i>n</i>-dimensional digital images and patterns.

Zi-Cai Li

Numer. Algorithms, 1995

1994

Analysis and recognition of alphanumeric handprints by parts.

Ching Y. Suen, J. Guo, Zi-Cai Li

IEEE Trans. Syst. Man Cybern., 1994

The Schwarz Alternating Method for Singularity Problems.

Zi-Cai Li

SIAM J. Sci. Comput., 1994

1993

Hierarchical Model for Analysis and Recognition of Handwritten Characters.

Zi-Cai Li, Ching Y. Suen, J. Guo

Ann. Math. Artif. Intell., 1993

1992

Splitting-Integrating Method for Normalizing Images by Inverse Transformations.

Zi-Cai Li, Ching Y. Suen, Tien Dai Bui, Yuan Yan Tang, Quan Lin Gu

IEEE Trans. Pattern Anal. Mach. Intell., 1992

Harmonic models of shape transformations in digital images and patterns.

Zi-Cai Li, Ching Y. Suen, Tien D. Bui, Quan Lin Gu

CVGIP Graph. Model. Image Process., 1992

1990

A comparative study of nonlinear shape models for digital image processing and pattern recognition.

Zi-Cai Li, Quan Lin Gu, Ching Y. Suen, Tien D. Bui

IEEE Trans. Syst. Man Cybern., 1990

Discrete techniques for computer transformations of digital images and patterns.

Zi-Cai Li

Pattern Recognit., 1990

Splitting-Shooting Methods for Nonlinear Transformations of Digitized Patterns.

Zi-Cai Li, Tien Dai Bui, Ching Y. Suen, Yuan Yan Tang

IEEE Trans. Pattern Anal. Mach. Intell., 1990

Shape Transformation Models and their Applications in Pattern Recognition.

Zi-Cai Li, Yuan Yan Tang, Tien Dai Bui, Ching Y. Suen

Int. J. Pattern Recognit. Artif. Intell., 1990

Coupling strategy for matching different methods in solving singularity problems.

Zi-Cai Li, Tien Dai Bui

Computing, 1990

1989

Computer Transformation of Digital Images and Patterns

Zi-Cai Li, Tien D. Bui, Yuan Yan Tang, Ching Y. Suen

World Scientific Series in Computer Science 17, World Scientific, ISBN: 978-981-4522-11-3, 1989

1988

A new kind of combinations between the Ritz-Galerkin and finite element methods for singularity problems.

Zi-Cai Li, Tien Dai Bui

Computing, 1988