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2020 – today
- 2023
[j52]Liping Zhang
, Zi-Cai Li, Ming-Gong Lee, Hung-Tsai Huang:
Lower and upper bounds of condition number for Vandermonde-wise matrices and method of fundamental solutions using pseudo radial-lines. Numer. Linear Algebra Appl. 30(2) (2023)- 2022
- [j51]Li-Ping Zhang, Zi-Cai Li, Ming-Gong Lee, Hung-Tsai Huang:
Stability analysis of the method of fundamental solutions with smooth closed pseudo-boundaries for Laplace's equation: better pseudo-boundaries. Numer. Algorithms 89(3): 1183-1222 (2022) - [j50]Liping Zhang, Zi-Cai Li, Yimin Wei, Hung-Tsai Huang:
Spurious eigenvalue-free algorithms of the method of fundamental solutions for solving the Helmholtz equation in bounded multiply connected domains. Numer. Algorithms 91(2): 895-932 (2022) - 2020
- [j49]Liping Zhang, Zi-Cai Li, Hung-Tsai Huang, Zhen Chen:
Super-exponential growth rates of condition number in the boundary knot method for the Helmholtz equation. Appl. Math. Lett. 105: 106333 (2020) - [j48]Fang-Fang Dou, Liping Zhang, Zi-Cai Li, C. S. Chen:
Source nodes on elliptic pseudo-boundaries in the method of fundamental solutions for Laplace's equation; selection of pseudo-boundaries. J. Comput. Appl. Math. 377: 112861 (2020)
2010 – 2019
- 2018
- [j47]Fang-Fang Dou, Zi-Cai Li, C. S. Chen, Zhaolu Tian:
Analysis on the method of fundamental solutions for biharmonic equations. Appl. Math. Comput. 339: 346-366 (2018) - 2017
- [j46]Zhaolu Tian, Zi-Cai Li, Hung-Tsai Huang, C. S. Chen:
Analysis of the method of fundamental solutions for the modified Helmholtz equation. Appl. Math. Comput. 305: 262-281 (2017) - 2013
- [j45]S.-Y. Chen, Zi-Cai Li, Y.-S. Wang, Cheng-Sheng Chien:
Efficient spectral collocation and continuation methods for symmetry-breaking solutions of rotating Bose-Einstein condensates. Int. J. Comput. Math. 90(3): 651-670 (2013) - [j44]Zi-Cai Li, Hung-Tsai Huang, Ming-Gong Lee, John Y. Chiang:
Error analysis of the method of fundamental solutions for linear elastostatics. J. Comput. Appl. Math. 251: 133-153 (2013) - 2012
- [j43]Jin Huang, Guang Zeng, Xiaoming He, Zi-Cai Li:
Splitting extrapolation algorithm for first kind boundary integral equations with singularities by mechanical quadrature methods. Adv. Comput. Math. 36(1): 79-97 (2012) - 2011
- [j42]Zi-Cai Li, Ming-Gong Lee, Jeng-Tzong Chen:
New series expansions for fundamental solutions of linear elastostatics in 2D. Computing 92(3): 199-224 (2011) - [j41]Zi-Cai Li, S.-Y. Chen, Cheng-Sheng Chien, Huei-Shuang Chen:
A spectral collocation method for a rotating Bose-Einstein condensation in optical lattices. Comput. Phys. Commun. 182(6): 1215-1234 (2011) - [j40]Zi-Cai Li, John Y. Chiang, Ching Y. Suen:
New splitting algorithms for geometric transformations of digital images and their error analysis. Int. J. Imaging Syst. Technol. 21(4): 323-335 (2011) - [j39]Zi-Cai Li, Ming-Gong Lee, John Y. Chiang, Ya-Ping Liu:
The Trefftz method using fundamental solutions for biharmonic equations. J. Comput. Appl. Math. 235(15): 4350-4367 (2011) - [j38]Zi-Cai Li, Hung-Tsai Huang, Yimin Wei:
Ill-conditioning of the truncated singular value decomposition, Tikhonov regularization and their applications to numerical partial differential equations. Numer. Linear Algebra Appl. 18(2): 205-221 (2011) - 2010
- [j37]Zi-Cai Li, Jin Huang, Hung-Tsai Huang:
Stability analysis of method of fundamental solutions for mixed boundary value problems of Laplace's equation. Computing 88(1-2): 1-29 (2010) - [j36]Zi-Cai Li, Hung-Tsai Huang, Jeng-Tzong Chen, Yimin Wei:
Effective condition number and its applications. Computing 89(1-2): 87-112 (2010) - [j35]Zi-Cai Li, John Y. Chiang, Ching Y. Suen:
Face Transformation With Harmonic Models by the Finite-Volume Method With Delaunay Triangulation. IEEE Trans. Syst. Man Cybern. Part B 40(6): 1543-1554 (2010)
2000 – 2009
- 2009
- [j34]Zi-Cai Li, Cheng-Sheng Chien, H.-T. Huang, Bor-Wen Jeng:
Superconvergence of bi-k-Lagrange elements for eigenvalue problems. Comput. Phys. Commun. 180(11): 2268-2282 (2009) - [j33]Zi-Cai Li, Qing Fang, Hung-Tsai Huang, Yimin Wei:
On solution uniqueness of elliptic boundary value problems. J. Comput. Appl. Math. 233(2): 293-307 (2009) - [j32]Zi-Cai Li, Tzon-Tzer Lu, Yimin Wei:
Effective condition number of Trefftz methods for biharmonic equations with crack singularities. Numer. Linear Algebra Appl. 16(2): 145-171 (2009) - 2008
- [j31]Zi-Cai Li, Heng-Shuing Tsai, Song Wang, John J. H. Miller:
Accurate and approximate analytic solutions of singularly perturbed differential equations with two-dimensional boundary layers. Comput. Math. Appl. 55(11): 2602-2622 (2008) - [j30]Shing-Lin Chang, Cheng-Sheng Chien, Zi-Cai Li:
A finite difference continuation method for computing energy levels of Bose-Einstein condensates. Comput. Phys. Commun. 179(4): 208-226 (2008) - [j29]Cheng-Sheng Chien, H.-T. Huang, Bor-Wen Jeng, Zi-Cai Li:
Superconvergence of Fems and Numerical Continuation for Parameter-Dependent Problems with Folds. Int. J. Bifurc. Chaos 18(5): 1321-1336 (2008) - [j28]Qun Lin, Hung-Tsai Huang, Zi-Cai Li:
New expansions of numerical eigenvalues for -Δu = λρu by nonconforming elements. Math. Comput. 77(264): 2061-2084 (2008) - [j27]Cheng-Sheng Chien, Bor-Wen Jeng, Zi-Cai Li:
A time-independent approach for computing wave functions of the Schrödinger-Poisson system. Numer. Linear Algebra Appl. 15(1): 55-82 (2008) - [j26]Zi-Cai Li, Hung-Tsai Huang:
Effective condition number for numerical partial differential equations. Numer. Linear Algebra Appl. 15(7): 575-594 (2008) - 2006
- [j25]Chieh-Sen Huang, Song Wang, C. S. Chen, Zi-Cai Li:
A radial basis collocation method for Hamilton-Jacobi-Bellman equations. Autom. 42(12): 2201-2207 (2006) - [j24]Zi-Cai Li, Y. L. Chan, Georgios C. Georgiou, Christos Xenophontos:
Special boundary approximation methods for laplace equation problems with boundary singularities - Applications to the motz problem. Comput. Math. Appl. 51(1): 115-142 (2006) - [j23]Hsin-Yun Hu, Zi-Cai Li:
Combinations of collocation and finite-element methods for Poisson's equation. Comput. Math. Appl. 51(12): 1831-1853 (2006) - 2005
- [j22]Tzon-Tzer Lu, Zi-Cai Li:
The cracked-beam problem solved by the boundary approximation method. Appl. Math. Lett. 18(1): 11-16 (2005) - [j21]Hsin-Yun Hu, Zi-Cai Li:
Verification of Reduced Convergence Rates. Computing 74(1): 67-73 (2005) - 2004
- [j20]Hung-Tsai Huang, Zi-Cai Li:
Blending curves for landing problems by numerical differential equations, III. Separation techniques. Math. Comput. Model. 40(11-12): 1351-1374 (2004) - [j19]Zi-Cai Li, Huaiqing Wang, Stephen S. Y. Liao:
Numerical algorithms for image geometric transformations and applications. IEEE Trans. Syst. Man Cybern. Part B 34(1): 132-149 (2004) - 2003
- [j18]Song Wang, Zi-Cai Li:
A nonconforming combination of the finite element and volume methods with an anisotropic mesh refinement for a singularly perturbed convection-diffusion equation. Math. Comput. 72(244): 1689-1709 (2003) - 2002
- [c4]Zi-Cai Li, J. Y. Lin, Ching Y. Suen, H. Wang:
New Algorithm for Geometric Transformations of Digital Images and Patterns. ICPR (3) 2002: 315-318 - 2000
- [j17]Zi-Cai Li:
Global Superconvergence of Simplified Hybrid Combinations for Elliptic Equations with Singularities, I. Basic Theorem. Computing 65(1): 27-44 (2000) - [j16]Zi-Cai Li, Ching Y. Suen:
The partition-combination method for recognition of handwritten characters. Pattern Recognit. Lett. 21(8): 701-720 (2000) - [j15]Zi-Cai Li, Ching Y. Suen:
Crucial combinations for the recognition of handwritten letters. Pattern Recognit. Lett. 21(10): 873-898 (2000)
1990 – 1999
- 1997
- [c3]Ching Y. Suen, Zi-Cai Li:
Crucial Combinations for the Recognition of Handwritten Letters. BSDIA 1997: 19-39 - 1996
- [j14]Zi-Cai Li:
Analysis of discrete techniques for image transformation. Numer. Algorithms 13(2): 225-263 (1996) - 1995
- [j13]Zi-Cai Li:
Splitting-integrating method for inverse transformation ofn-dimensional digital images and patterns. Numer. Algorithms 9(2): 181-198 (1995) - [j12]Zi-Cai Li, Ching Y. Suen, J. Guo:
A regional decomposition method for recognizing handprinted characters. IEEE Trans. Syst. Man Cybern. 25(6): 998-1010 (1995) - 1994
- [j11]Zi-Cai Li:
The Schwarz Alternating Method for Singularity Problems. SIAM J. Sci. Comput. 15(5): 1064-1082 (1994) - [j10]Ching Y. Suen, J. Guo, Zi-Cai Li:
Analysis and recognition of alphanumeric handprints by parts. IEEE Trans. Syst. Man Cybern. 24(4): 614-631 (1994) - 1993
- [j9]Zi-Cai Li, Ching Y. Suen, J. Guo:
Hierarchical Model for Analysis and Recognition of Handwritten Characters. Ann. Math. Artif. Intell. 10(1-2): 149-174 (1993) - 1992
- [j8]Zi-Cai Li, Ching Y. Suen, Tien D. Bui, Quan Lin Gu:
Harmonic models of shape transformations in digital images and patterns. CVGIP Graph. Model. Image Process. 54(3): 198-209 (1992) - [j7]Zi-Cai Li, Ching Y. Suen, Tien Dai Bui, Yuan Yan Tang, Quan Lin Gu:
Splitting-Integrating Method for Normalizing Images by Inverse Transformations. IEEE Trans. Pattern Anal. Mach. Intell. 14(6): 678-686 (1992) - [c2]Ching Y. Suen, J. Guo, Zi-Cai Li:
Analysis and recognition of alphanumeric handprints by parts. ICPR (2) 1992: 338-341 - 1990
- [j6]Zi-Cai Li, Tien Dai Bui:
Coupling strategy for matching different methods in solving singularity problems. Computing 45(4): 311-319 (1990) - [j5]Zi-Cai Li, Yuan Yan Tang, Tien Dai Bui, Ching Y. Suen:
Shape Transformation Models and their Applications in Pattern Recognition. Int. J. Pattern Recognit. Artif. Intell. 4(1): 65-94 (1990) - [j4]Zi-Cai Li, Tien Dai Bui, Ching Y. Suen, Yuan Yan Tang:
Splitting-Shooting Methods for Nonlinear Transformations of Digitized Patterns. IEEE Trans. Pattern Anal. Mach. Intell. 12(7): 671-682 (1990) - [j3]Zi-Cai Li:
Discrete techniques for computer transformations of digital images and patterns. Pattern Recognit. 23(11): 1249-1273 (1990) - [j2]Zi-Cai Li, Quan Lin Gu, Ching Y. Suen, Tien D. Bui:
A comparative study of nonlinear shape models for digital image processing and pattern recognition. IEEE Trans. Syst. Man Cybern. 20(4): 858-871 (1990) - [c1]Zi-Cai Li, Ching Y. Suen, Tien Dai Bui, Quan Lin Gu:
Harmonic models of shape transformations in digital images and patterns. ICPR (2) 1990: 1-7
1980 – 1989
- 1989
- [b1]Zi-Cai Li, Tien D. Bui, Yuan Yan Tang, Ching Y. Suen:
Computer Transformation of Digital Images and Patterns. World Scientific Series in Computer Science 17, World Scientific 1989, ISBN 978-9971-5-0951-4, pp. 1-276 - 1988
- [j1]Zi-Cai Li, Tien Dai Bui:
A new kind of combinations between the Ritz-Galerkin and finite element methods for singularity problems. Computing 40(1): 29-50 (1988)
Coauthor Index
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