A continuation-domain decomposition algorithm for bifurcation problems. - Cheng-Sheng Chien; H.-S. Chou; Bor-Wen Jeng (Numer. Algorithms, 1999)

A Multigrid-Lanczos Algorithm for the Numerical Solutions of Nonlinear Eigenvalue Problems. - Shing-Lin Chang; Cheng-Sheng Chien (Int. J. Bifurc. Chaos, 2003)

Application of the Lanczos algorithm for solving the linear systems that occur in continuation problems. - Cheng-Sheng Chien; Shing-Lin Chang (Numer. Linear Algebra Appl., 2003)

Multigrid-Conjugate Gradient Type Methods for Reaction-diffusion Systems. - Shing-Lin Chang; Huei-Shuang Chen; Cheng-Sheng Chien (Int. J. Bifurc. Chaos, 2004)

Tracing the Solution Surface with Folds of a Two-Parameter System. - Shing-Lin Chang; Cheng-Sheng Chien; Bor-Wen Jeng (Int. J. Bifurc. Chaos, 2005)

Symmetry Reductions and a Posteriori Finite Element Error estimators for bifurcation Problems. - Cheng-Sheng Chien; Bor-Wen Jeng (Int. J. Bifurc. Chaos, 2005)

A Two-Grid Discretization Scheme for Semilinear Elliptic Eigenvalue Problems. - Cheng-Sheng Chien; Bor-Wen Jeng (SIAM J. Sci. Comput., 2006)

Adaptive continuation algorithms for computing energy levels of rotating Bose-Einstein condensates. - Shing-Lin Chang; Cheng-Sheng Chien (Comput. Phys. Commun., 2007)

Numerical Continuation for Nonlinear SchrÖdinger Equations. - Shing-Lin Chang; Cheng-Sheng Chien (Int. J. Bifurc. Chaos, 2007)

Computing wave functions of nonlinear Schrödinger equations: A time-independent approach. - Shing-Lin Chang; Cheng-Sheng Chien; Bor-Wen Jeng (J. Comput. Phys., 2007)

Liapunov-Schmidt Reduction and Continuation for Nonlinear Schrödinger Equations. - Shing-Lin Chang; Cheng-Sheng Chien; Bor-Wen Jeng (SIAM J. Sci. Comput., 2007)

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)

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 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)

A cubic Hermite finite element-continuation method for numerical solutions of the von Kármán equations. - Cheng-Sheng Chien; Yin-Tzer Shih (Appl. Math. Comput., 2009)

Computing multiple peak solutions for Bose-Einstein condensates in optical lattices. - Shing-Lin Chang; Cheng-Sheng Chien (Comput. Phys. Commun., 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)

An adaptive multigrid scheme for Bose-Einstein condensates in a periodic potential. - Shing-Lin Chang; Huei-Shuang Chen; Cheng-Sheng Chien; D. J. Han (J. Comput. Appl. Math., 2009)

Multilevel Spectral-Galerkin and Continuation Methods for Nonlinear Schrödinger Equations. - Huei-Shuang Chen; Cheng-Sheng Chien (Multiscale Model. Simul., 2009)

Two-stage continuation algorithms for Bloch waves of Bose-Einstein condensates in optical lattices. - Cheng-Sheng Chien; Shing-Lin Chang; Biao Wu (Comput. Phys. Commun., 2010)

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)

A spectral-Galerkin continuation method using Chebyshev polynomials for the numerical solutions of the Gross-Pitaevskii equation. - Y.-S. Wang; Cheng-Sheng Chien (J. Comput. Appl. Math., 2011)

An adaptive parameterized block-based singular value decomposition for image de-noising and compression. - Yin-Tzer Shih; Cheng-Sheng Chien; C.-Y. Chuang (Appl. Math. Comput., 2012)

Spectral collocation methods using sine functions for a rotating Bose-Einstein condensation in optical lattices. - Huei-Shuang Chen; Shing-Lin Chang; Cheng-Sheng Chien (J. Comput. Phys., 2012)

A two-parameter continuation algorithm for vortex pinning in rotating Bose-Einstein condensates. - Bor-Wen Jeng; Y.-S. Wang; Cheng-Sheng Chien (Comput. Phys. Commun., 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)

A spectral-Galerkin continuation method for numerical solutions of the Gross-Pitaevskii equation. - Shing-Lin Chang; Huei-Shuang Chen; Bor-Wen Jeng; Cheng-Sheng Chien (J. Comput. Appl. Math., 2013)

A Visual-based Positioning System. - Cheng-Sheng Chien; Min-Te Sun; Yi-Chang Wang; Jen You Kuo (ICS, 2014)

Spectral collocation and a two-level continuation scheme for dipolar Bose-Einstein condensates. - Bor-Wen Jeng; Cheng-Sheng Chien; I-Liang Chern (J. Comput. Phys., 2014)

A two-parameter continuation method for computing numerical solutions of spin-1 Bose-Einstein condensates. - Y.-S. Wang; Cheng-Sheng Chien (J. Comput. Phys., 2014)

Multi-parameter continuation and collocation methods for rotating multi-component Bose-Einstein condensates. - S.-Y. Chen; Y.-S. Wang; Bor-Wen Jeng; Cheng-Sheng Chien (Int. J. Comput. Math., 2015)

Efficient continuation methods for spin-1 Bose-Einstein condensates in a magnetic field. - Sirilak Sriburadet; Bor-Wen Jeng; Cheng-Sheng Chien (Int. J. Comput. Math., 2018)

Continuation and stability analysis for Bloch waves of the Gross-Pitaevskii equation. - Huei-Shuang Chen; Shing-Lin Chang; Bo-Wun Jeng; Cheng-Sheng Chien (Numer. Algorithms, 2018)

Stability analysis and continuation for the coupled Gross-Pitaevskii equations. - Sirilak Sriburadet; Yin-Tzer Shih; Cheng-Sheng Chien (Comput. Math. Appl., 2019)

A note on stochastic polynomial chaos expansions for uncertain volatility and Asian option pricing. - Yu-Tuan Lin; Yin-Tzer Shih; Cheng-Sheng Chien; Q. Sheng (Appl. Math. Comput., 2021)