C.-S. Chien

Publication Activity (10 Years)

Years Active: 1997-2021
Publications (10 Years): 5

Top Topics

Black Scholes Model

Numerical Solution

Singular Value Decomposition

Top Venues

Int. J. Comput. Math.

J. Comput. Phys.

Appl. Math. Comput.

Comput. Math. Appl.

Publications

Yu-Tuan Lin, Y.-T. Shih, C.-S. Chien, Q. Sheng
A note on stochastic polynomial chaos expansions for uncertain volatility and Asian option pricing. Appl. Math. Comput. 393 (2021)
Sirilak Sriburadet, Yin-Tzer Shih, C.-S. Chien
Stability analysis and continuation for the coupled Gross-Pitaevskii equations. Comput. Math. Appl. 78 (3) (2019)
H.-S. Chen, S.-L. Chang, B.-W. Jeng, C.-S. Chien
Continuation and stability analysis for Bloch waves of the Gross-Pitaevskii equation. Numer. Algorithms 77 (3) (2018)
Sirilak Sriburadet, B.-W. Jeng, C.-S. Chien
Efficient continuation methods for spin-1 Bose-Einstein condensates in a magnetic field. Int. J. Comput. Math. 95 (5) (2018)
S.-Y. Chen, Y.-S. Wang, B.-W. Jeng, C.-S. Chien
Multi-parameter continuation and collocation methods for rotating multi-component Bose-Einstein condensates. Int. J. Comput. Math. 92 (4) (2015)
Y.-S. Wang, C.-S. Chien
A two-parameter continuation method for computing numerical solutions of spin-1 Bose-Einstein condensates. J. Comput. Phys. 256 (2014)
B.-W. Jeng, C.-S. Chien, I-Liang Chern
Spectral collocation and a two-level continuation scheme for dipolar Bose-Einstein condensates. J. Comput. Phys. 256 (2014)
B.-W. Jeng, Y.-S. Wang, C.-S. Chien
A two-parameter continuation algorithm for vortex pinning in rotating Bose-Einstein condensates. Comput. Phys. Commun. 184 (3) (2013)
S.-Y. Chen, Z.-C. Li, Y.-S. Wang, C.-S. Chien
Efficient spectral collocation and continuation methods for symmetry-breaking solutions of rotating Bose-Einstein condensates. Int. J. Comput. Math. 90 (3) (2013)
S.-L. Chang, H.-S. Chen, B.-W. Jeng, C.-S. Chien
A spectral-Galerkin continuation method for numerical solutions of the Gross-Pitaevskii equation. J. Comput. Appl. Math. 254 (2013)
Y.-T. Shih, C.-S. Chien, C.-Y. Chuang
An adaptive parameterized block-based singular value decomposition for image de-noising and compression. Appl. Math. Comput. 218 (21) (2012)
Y.-S. Wang, C.-S. Chien
A spectral-Galerkin continuation method using Chebyshev polynomials for the numerical solutions of the Gross-Pitaevskii equation. J. Comput. Appl. Math. 235 (8) (2011)
Z.-C. Li, S.-Y. Chen, C.-S. Chien, H.-S. Chen
A spectral collocation method for a rotating Bose-Einstein condensation in optical lattices. Comput. Phys. Commun. 182 (6) (2011)
C.-S. Chien, S.-L. Chang, Biao Wu
Two-stage continuation algorithms for Bloch waves of Bose-Einstein condensates in optical lattices. Comput. Phys. Commun. 181 (10) (2010)
S.-L. Chang, C.-S. Chien
Computing multiple peak solutions for Bose-Einstein condensates in optical lattices. Comput. Phys. Commun. 180 (6) (2009)
Z.-C. Li, C.-S. Chien, H.-T. Huang, B.-W. Jeng
Superconvergence of bi-k-Lagrange elements for eigenvalue problems. Comput. Phys. Commun. 180 (11) (2009)
H.-S. Chen, C.-S. Chien
Multilevel Spectral-Galerkin and Continuation Methods for Nonlinear Schrödinger Equations. Multiscale Model. Simul. 8 (2) (2009)
C.-S. Chien, Y.-T. Shih
A cubic Hermite finite element-continuation method for numerical solutions of the von Kármán equations. Appl. Math. Comput. 209 (2) (2009)
S.-L. Chang, H.-S. Chen, C.-S. Chien, D. J. Han
An adaptive multigrid scheme for Bose-Einstein condensates in a periodic potential. J. Comput. Appl. Math. 231 (1) (2009)
C.-S. Chien, B.-W. Jeng, Z.-C. Li
A time-independent approach for computing wave functions of the Schrödinger-Poisson system. Numer. Linear Algebra Appl. 15 (1) (2008)
S.-L. Chang, C.-S. Chien, Z.-C. Li
A finite difference continuation method for computing energy levels of Bose-Einstein condensates. Comput. Phys. Commun. 179 (4) (2008)
C.-S. Chien, H.-T. Huang, B.-W. Jeng, Z.-C. Li
Superconvergence of Fems and Numerical Continuation for Parameter-Dependent Problems with Folds. Int. J. Bifurc. Chaos 18 (5) (2008)
S.-L. Chang, C.-S. Chien
Numerical Continuation for Nonlinear SchrÖdinger Equations. Int. J. Bifurc. Chaos 17 (2) (2007)
S.-L. Chang, C.-S. Chien, B.-W. Jeng
Computing wave functions of nonlinear Schrödinger equations: A time-independent approach. J. Comput. Phys. 226 (1) (2007)
S.-L. Chang, C.-S. Chien
Adaptive continuation algorithms for computing energy levels of rotating Bose-Einstein condensates. Comput. Phys. Commun. 177 (9) (2007)
S.-L. Chang, C.-S. Chien, B.-W. Jeng
Liapunov-Schmidt Reduction and Continuation for Nonlinear Schrödinger Equations. SIAM J. Sci. Comput. 29 (2) (2007)
C.-S. Chien, B.-W. Jeng
A Two-Grid Discretization Scheme for Semilinear Elliptic Eigenvalue Problems. SIAM J. Sci. Comput. 27 (4) (2006)
S.-L. Chang, C.-S. Chien, B.-W. Jeng
Tracing the Solution Surface with Folds of a Two-Parameter System. Int. J. Bifurc. Chaos 15 (8) (2005)
C.-S. Chien, B.-W. Jeng
Finite Element Error estimators for bifurcation Problems. Int. J. Bifurc. Chaos 15 (7) (2005)
S.-L. Chang, H.-S. Chen, C.-S. Chien
Multigrid-Conjugate Gradient Type Methods for Reaction-diffusion Systems. Int. J. Bifurc. Chaos 14 (10) (2004)
Y. Lee, C.-T. Yang, C.-S. Chien
A 3D ellipsoid-based model for packing of granular particles. Int. J. Comput. Appl. Technol. 17 (3) (2003)
C.-S. Chien, S.-L. Chang
Application of the Lanczos algorithm for solving the linear systems that occur in continuation problems. Numer. Linear Algebra Appl. 10 (4) (2003)
S.-L. Chang, C.-S. Chien
A Multigrid-Lanczos Algorithm for the Numerical Solutions of Nonlinear Eigenvalue Problems. Int. J. Bifurc. Chaos 13 (5) (2003)
C.-S. Chien, S. Y. Gong, Z. Mei
Mode Jumping In The Von Kármán Equations. SIAM J. Sci. Comput. 22 (4) (2000)
C.-S. Chien, H.-S. Chou, B.-W. Jeng
A continuation-domain decomposition algorithm for bifurcation problems. Numer. Algorithms 22 (3-4) (1999)
C.-S. Chien, Z.-L. Weng, C.-L. Shen
Lanczos-type Methods for Continuation Problems. Numer. Linear Algebra Appl. 4 (1) (1997)