Issue Date | Title | Author(s) | Source | WOS | Fulltext/Archive link |
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 | | |
2010 | On Solving the Direct/Inverse Cauchy Problems of Laplace Equation in a Multiply Connected Domain, Using the Generalized Multiple-Source-Point Boundary-Collocation Trefftz Method & Characteristic Lengths | Wei-Chung Yeih ; Kuo, C. L.; Atluri, S. N.; Chein-Shan Liu | Cmc-Computers Materials & Continua | | |
2009 | On Solving the Ill-Conditioned System Ax = b: General-Purpose Conditioners Obtained From the Boundary-Collocation Solution of the Laplace Equation, Using Trefftz Expansions With Multiple Length Scales | Wei-Chung Yeih ; Atluri, S. N.; Chein-Shan Liu | Cmes-Computer Modeling in Engineering & Sciences | | |
2011 | Simple "Residual-Norm" Based Algorithms, for the Solution of a Large System of Non-Linear Algebraic Equations, which Converge Faster than the Newton's Method | Chein-Shan Liu ; Atluri, S. N. | Cmes-Computer Modeling in Engineering & Sciences | | |