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Journal Articles
- 2021
[j34]Yu-Tuan Lin
, Yin-Tzer Shih, Cheng-Sheng Chien, Q. Sheng:
A note on stochastic polynomial chaos expansions for uncertain volatility and Asian option pricing. Appl. Math. Comput. 393: 125764 (2021)- 2019
- [j33]Sirilak Sriburadet, Yin-Tzer Shih, Cheng-Sheng Chien:
Stability analysis and continuation for the coupled Gross-Pitaevskii equations. Comput. Math. Appl. 78(3): 807-826 (2019) - 2018
- [j32]Sirilak Sriburadet, Bor-Wen Jeng, Cheng-Sheng Chien:
Efficient continuation methods for spin-1 Bose-Einstein condensates in a magnetic field. Int. J. Comput. Math. 95(5): 898-919 (2018) - [j31]Huei-Shuang Chen, Shing-Lin Chang, Bo-Wun Jeng, Cheng-Sheng Chien:
Continuation and stability analysis for Bloch waves of the Gross-Pitaevskii equation. Numer. Algorithms 77(3): 709-726 (2018) - 2015
- [j30]S.-Y. Chen, Y.-S. Wang, Bor-Wen Jeng, Cheng-Sheng Chien:
Multi-parameter continuation and collocation methods for rotating multi-component Bose-Einstein condensates. Int. J. Comput. Math. 92(4): 850-871 (2015) - 2014
- [j29]Y.-S. Wang, Cheng-Sheng Chien:
A two-parameter continuation method for computing numerical solutions of spin-1 Bose-Einstein condensates. J. Comput. Phys. 256: 198-213 (2014) - [j28]Bor-Wen Jeng, Cheng-Sheng Chien, I-Liang Chern:
Spectral collocation and a two-level continuation scheme for dipolar Bose-Einstein condensates. J. Comput. Phys. 256: 713-727 (2014) - 2013
- [j27]Bor-Wen Jeng, Y.-S. Wang, Cheng-Sheng Chien:
A two-parameter continuation algorithm for vortex pinning in rotating Bose-Einstein condensates. Comput. Phys. Commun. 184(3): 493-508 (2013) - [j26]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) - [j25]Shing-Lin Chang, Huei-Shuang Chen, Bor-Wen Jeng, Cheng-Sheng Chien:
A spectral-Galerkin continuation method for numerical solutions of the Gross-Pitaevskii equation. J. Comput. Appl. Math. 254: 2-16 (2013) - 2012
- [j24]Yin-Tzer Shih, Cheng-Sheng Chien, C.-Y. Chuang:
An adaptive parameterized block-based singular value decomposition for image de-noising and compression. Appl. Math. Comput. 218(21): 10370-10385 (2012) - [j23]Huei-Shuang Chen, Shing-Lin Chang, Cheng-Sheng Chien:
Spectral collocation methods using sine functions for a rotating Bose-Einstein condensation in optical lattices. J. Comput. Phys. 231(4): 1553-1569 (2012) - 2011
- [j22]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) - [j21]Y.-S. Wang, Cheng-Sheng Chien:
A spectral-Galerkin continuation method using Chebyshev polynomials for the numerical solutions of the Gross-Pitaevskii equation. J. Comput. Appl. Math. 235(8): 2740-2757 (2011) - 2010
- [j20]Cheng-Sheng Chien, Shing-Lin Chang, Biao Wu:
Two-stage continuation algorithms for Bloch waves of Bose-Einstein condensates in optical lattices. Comput. Phys. Commun. 181(10): 1727-1737 (2010) - 2009
- [j19]Cheng-Sheng Chien, Yin-Tzer Shih:
A cubic Hermite finite element-continuation method for numerical solutions of the von Kármán equations. Appl. Math. Comput. 209(2): 356-368 (2009) - [j18]Shing-Lin Chang, Cheng-Sheng Chien:
Computing multiple peak solutions for Bose-Einstein condensates in optical lattices. Comput. Phys. Commun. 180(6): 926-947 (2009) - [j17]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) - [j16]Shing-Lin Chang, Huei-Shuang Chen, Cheng-Sheng Chien, D. J. Han:
An adaptive multigrid scheme for Bose-Einstein condensates in a periodic potential. J. Comput. Appl. Math. 231(1): 268-287 (2009) - [j15]Huei-Shuang Chen, Cheng-Sheng Chien:
Multilevel Spectral-Galerkin and Continuation Methods for Nonlinear Schrödinger Equations. Multiscale Model. Simul. 8(2): 370-392 (2009) - 2008
- [j14]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) - [j13]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) - [j12]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) - 2007
- [j11]Shing-Lin Chang, Cheng-Sheng Chien:
Adaptive continuation algorithms for computing energy levels of rotating Bose-Einstein condensates. Comput. Phys. Commun. 177(9): 707-719 (2007) - [j10]Shing-Lin Chang, Cheng-Sheng Chien:
Numerical Continuation for Nonlinear SchrÖdinger Equations. Int. J. Bifurc. Chaos 17(2): 641-656 (2007) - [j9]Shing-Lin Chang, Cheng-Sheng Chien, Bor-Wen Jeng:
Computing wave functions of nonlinear Schrödinger equations: A time-independent approach. J. Comput. Phys. 226(1): 104-130 (2007) - [j8]Shing-Lin Chang, Cheng-Sheng Chien, Bor-Wen Jeng:
Liapunov-Schmidt Reduction and Continuation for Nonlinear Schrödinger Equations. SIAM J. Sci. Comput. 29(2): 729-755 (2007) - 2006
- [j7]Cheng-Sheng Chien, Bor-Wen Jeng:
A Two-Grid Discretization Scheme for Semilinear Elliptic Eigenvalue Problems. SIAM J. Sci. Comput. 27(4): 1287-1304 (2006) - 2005
- [j6]Cheng-Sheng Chien, Bor-Wen Jeng:
Symmetry Reductions and a Posteriori Finite Element Error estimators for bifurcation Problems. Int. J. Bifurc. Chaos 15(7): 2091-2107 (2005) - [j5]Shing-Lin Chang, Cheng-Sheng Chien, Bor-Wen Jeng:
Tracing the Solution Surface with Folds of a Two-Parameter System. Int. J. Bifurc. Chaos 15(8): 2689-2700 (2005) - 2004
- [j4]Shing-Lin Chang, Huei-Shuang Chen, Cheng-Sheng Chien:
Multigrid-Conjugate Gradient Type Methods for Reaction-diffusion Systems. Int. J. Bifurc. Chaos 14(10): 3587-3605 (2004) - 2003
- [j3]Shing-Lin Chang, Cheng-Sheng Chien:
A Multigrid-Lanczos Algorithm for the Numerical Solutions of Nonlinear Eigenvalue Problems. Int. J. Bifurc. Chaos 13(5): 1217-1228 (2003) - [j2]Cheng-Sheng Chien, Shing-Lin Chang:
Application of the Lanczos algorithm for solving the linear systems that occur in continuation problems. Numer. Linear Algebra Appl. 10(4): 335-355 (2003) - 1999
- [j1]Cheng-Sheng Chien, H.-S. Chou, Bor-Wen Jeng:
A continuation-domain decomposition algorithm for bifurcation problems. Numer. Algorithms 22(3-4): 367-383 (1999)
Conference and Workshop Papers
- 2014
- [c1]Cheng-Sheng Chien, Min-Te Sun, Yi-Chang Wang, Jen You Kuo:
A Visual-based Positioning System. ICS 2014: 1580-1590
Coauthor Index
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