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臺灣學術機構典藏系統 (Taiwan Academic Institutional Repository, TAIR)
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Institution Date Title Author
國立臺灣大學 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 Liu, Chein-Shan; Atluri, Satya N.
國立臺灣大學 2011 A Further Study on Using dot x=l[aR+bP] (P=F-R(F R)/ R 2) and dotFx=l[aF+bP*] (P*=R-F(F R)/ F2) in Iteratively Solving the Nonlinear System of Algebraic Equations F(x)=0 Liu, Chein-Shan; Dai, Hong-Hua; Atluri, Satya N.
國立臺灣大學 2011 Iterative Solution of a System of Nonlinear Algebraic Equations F(x)=0, Using dot x=l[aR+bP] or dot x=l[aF+bP*] R is a Normal to a Hyper-Surface Function of F, P Normal to R, and P* Normal to F Liu, Chein-Shan; Dai, Hong-Hua; Atluri, Satya N.
國立臺灣大學 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 Liu, Chein-Shan; Atluri, Satya N.
國立臺灣大學 2011 An Iterative Algorithm for Solving a System of Nonlinear Algebraic Equations, F(x)=0, Using the System of ODEs with an Optimum a in dx=l[aF+(1-a) BTF]; Bij=dFi/dxj Liu, Chein-Shan; Atluri, Satya N.
國立臺灣大學 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 Liu, Chein-Shan; Atluri, Satya N.
國立臺灣大學 2010 An iterative and adaptive Lie-group method for solving the Calder n inverse problem Liu, Chein-Shan; Atluri, Satya N.
國立臺灣大學 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 Yeih, Weichung; Liu, Chein Shan; Kuo, Chung-Lun; Atluri, Satya N.
國立臺灣大學 2010 An Enhanced Fictitious Time Integration Method for Non-Linear Algebraic Equations With Multiple Solutions: Boundary Layer, Boundary Value and Eigenvalue Problems Liu, Chein-Shan; Yeih, Weichung; Atluri, Satya N.
國立臺灣大學 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 Liu, Chein-Shan; Atluri, Satya N.

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