| Issue Date | Title | Author(s) | Source | scopus | WOS | Fulltext/Archive link |
| 2009 | A Scalar Homotopy Method for Solving an Over/Under-Determined System of Non-Linear Algebraic Equations | Wei-Chung Yeih ; Kuo, C. L.; Atluri, S. N.; Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 2010 | An Enhanced Fictitious Time Integration Method for Non-Linear Algebraic Equations With Multiple Solutions: Boundary Layer, Boundary Value and Eigenvalue Problems | Wei-Chung Yeih ; Atluri, S. N.; Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 2014 | Analysis of Elastic-Plastic Waves in a Thin-Walled Tube By a Novel Lie-Group Differential Algebraic Equations Method | Chein-Shan Liu ; Atluri, S. N. | Cmc-Computers Materials & Continua | | | |
| 2015 | Double Optimal Regularization Algorithms for Solving Ill-Posed Linear Problems under Large Noise | Chein-Shan Liu ; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 2008 | A Fictitious Time Integration Method (FTIM) for Solving Mixed Complementarity Problems with Applications to Non-Linear Optimization | Chein-Shan Liu ; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 2009 | A Fictitious Time Integration Method for the Numerical Solution of the Fredholm Integral Equation and for Numerical Differentiation of Noisy Data, and Its Relation to the Filter Theory | Chein-Shan Liu ; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 2011 | A Further Study on Using (x) over dot = lambda alpha R+beta P (P = F - R(F center dot R)/parallel to R parallel to(2)) and (x) over dot = lambda alpha F+beta P* (P* = R - F(F center dot R)/parallel to F parallel to(2)) in Iteratively Solving the Nonlinear System of Algebraic Equations F(x)=0 | Chein-Shan Liu ; Dai, H. H.; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 2013 | A GL(n, R) Differential Algebraic Equation Method for Numerical Differentiation of Noisy Signal | Chein-Shan Liu ; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 2012 | A Globally Optimal Iterative Algorithm Using the Best Descent Vector (x) over dot = lambda alpha F-c + (BF)-F-T , with the Critical Value alpha(c), for Solving a System of Nonlinear Algebraic Equations F(x)=0 | Chein-Shan Liu ; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 2009 | A Highly Accurate Technique for Interpolations Using Very High-Order Polynomials, and Its Applications to Some Ill-Posed Linear Problems | Chein-Shan Liu ; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 2011 | An Iterative Algorithm for Solving a System of Nonlinear Algebraic Equations, F(x)=0, Using the System of ODEs with an Optimum alpha in (x) over dot = lambda alpha F + (1-a)(BF)-F-T ; B-ij = partial derivative F-i/partial derivative x(j) | Chein-Shan Liu ; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 2010 | An Iterative and Adaptive Lie-Group Method for Solving the Calderon Inverse Problem | Chein-Shan Liu ; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 2011 | An Iterative Method Using an Optimal Descent Vector, for Solving an Ill-Conditioned System Bx = b, Better and Faster than the Conjugate Gradient Method | Chein-Shan Liu ; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 2011 | Iterative Solution of a System of Nonlinear Algebraic Equations F(x)=0, Using (x) over dot = lambda alpha R plus beta P or (x) over dot = lambda alpha F plus beta P* R is a Normal to a Hyper-Surface Function of F, P Normal to R, and P* Normal to F | Chein-Shan Liu ; Dai, H. H.; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 2012 | The Jordan Structure of Residual Dynamics Used to Solve Linear Inverse Problems | Chein-Shan Liu ; Zhang, S. Y.; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 2009 | A MODIFIED NEWTON METHOD FOR SOLVING NON-LINEAR ALGEBRAIC EQUATIONS | Atluri, S. N.; Chein-Shan Liu ; Kuo, C. L. | Journal of Marine Science and Technology-Taiwan | | | |
| 2010 | Novel Algorithms Based on the Conjugate Gradient Method for Inverting Ill-Conditioned Matrices, and a New Regularization Method to Solve Ill-Posed Linear Systems | Chein-Shan Liu ; Hong, H. K.; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 2008 | A Novel Fictitious Time Integration Method for Solving the Discretized Inverse Sturm-Liouville Problems, For Specified Eigenvalues | Chein-Shan Liu ; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 2008 | A novel time integration method for solving a large system of non-linear algebraic equations | Chein-Shan Liu ; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | | |
| 2013 | Numerical solution of the Laplacian Cauchy problem by using a better postconditioning collocation Trefftz method | Chein-Shan Liu ; Atluri, S. N. | Engineering Analysis with Boundary Elements | | | |
