| 臺大學術典藏 |
2021-07-21T23:20:45Z |
A splitting method to solve a single nonlinear equation with derivative-free iterative schemes
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Liu, Chein Shan; HONG-KI HONG; Lee, Tsung Lin |
| 國立成功大學 |
2016 |
Analytical solution of spray cooling characteristics on a hot surface using the Laplace transform
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Chen, Han-Taw; Lin, Jing-Hong; Xu, Xiao-Jie; Liu, Chein-Shan; Chang, Jiang-Ren |
| 國立臺灣大學 |
2012 |
An equilibrated method of fundamental solutions to choose the best source points for the Laplace equation
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Liu, Chein-Shan |
| 國立臺灣大學 |
2012 |
Optimally scaled vector regularization method to solve ill-posed linear problems
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Liu, Chein-Shan |
| 國立臺灣大學 |
2012 |
A Globally Optimal Iterative Algorithm to Solve an Ill-Posed Linear System
|
Liu, Chein-Shan |
| 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
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Liu, Chein-Shan; Atluri, Satya N. |
| 國立臺灣大學 |
2012 |
The Lie-group shooting method for solving nonlinear singularly perturbed boundary value problems
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Liu, Chein-Shan |
| 國立臺灣大學 |
2012 |
The concept of best vector used to solve ill-posed linear inverse problems
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Liu, Chein-Shan |
| 國立臺灣大學 |
2012 |
A Lie-group shooting method for reconstructing a past time-dependent heat source
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Liu, Chein-Shan |
| 國立臺灣大學 |
2012 |
The Lie-Group Shooting Method for Solving Multi-dimensional Nonlinear Boundary Value Problems
|
Liu, Chein-Shan |
| 國立臺灣大學 |
2012 |
A novel mixed group preserving scheme for the inverse Cauchy problem of elliptic equations in annular domains
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Liu, Chein-Shan; Chang, Chih-Wen |
| 國立臺灣大學 |
2012 |
Reconstruction of moving boundary for one-dimensional heat conduction equation by using the Lie-group shooting method
|
Liu, Chein-Shan |
| 國立臺灣大學 |
2012 |
Numerical simulation of the two-dimensional sloshing problem using a multi-scaling Trefftz method
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Chen, Yung-Wei; Yeih, Wei-Chung; Liu, Chein-Shan; Chang, Jiang-Ren |
| 國立臺灣大學 |
2011 |
An inverse problem for computing a leading coefficient in the Sturm–Liouville operator by using the boundary data
|
Liu, Chein-Shan |
| 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
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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
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Liu, Chein-Shan; Dai, Hong-Hua; Atluri, Satya N. |
| 國立臺灣大學 |
2011 |
The Lie-group shooting method for solving the Bratu equation
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Abbasbandy, S.; Hashemi, M.S.; Liu, Chein-Shan |
| 國立臺灣大學 |
2011 |
A revision of relaxed steepest descent method from the dynamics on an invariant manifold
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Liu, Chein-Shan |
| 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
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Liu, Chein-Shan; Atluri, Satya N. |
| 國立臺灣大學 |
2011 |
A Highly Accurate Multi-Scale Full/Half-Order Polynomial Interpolation
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Liu, Chein-Shan |
| 國立臺灣大學 |
2011 |
A Lie-Group Adaptive Method to Identify the Radiative Coefficients in Parabolic Partial Differential Equations
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Liu, Chein-Shan; Chang, Chih-Wen |
| 國立臺灣大學 |
2011 |
The Lie-group shooting method for boundary-layer problems with suction/injection/reverse flow conditions for power-law fluids
|
Liu, Chein-Shan |
| 國立臺灣大學 |
2011 |
The Spring-Damping Regularization Method and the Lie-Group Shooting Method for Inverse Cauchy Problems
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Liu, Chein-Shan; Kuo, Chung-Lun; Liu, Dongjie |
| 國立臺灣大學 |
2011 |
A Spring-Damping Regularization and a Novel Lie-Group Integration Method for Nonlinear Inverse Cauchy Problems
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Liu, Chein-Shan; Kuo, Chung-Lun |
| 國立臺灣大學 |
2011 |
Dynamical Newton-Like Methods for Solving Ill-Conditioned Systems of Nonlinear Equations with Applications to Boundary Value Problems
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Ku, Cheng-Yu; Yeih, Weichung; Liu, Chein-Shan |
| 國立臺灣大學 |
2011 |
A dynamical Tikhonov regularization method for solving nonlinear ill-posed problems
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Liu, Chein-Shan; Kuo, Chung-Lun |
| 國立臺灣大學 |
2011 |
Solving two typical inverse Stefan problems by using the Lie-group shooting method
|
Liu, Chein-Shan |
| 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
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Liu, Chein-Shan; Atluri, Satya N. |
| 國立臺灣大學 |
2011 |
A self-adaptive LGSM to recover initial condition or heat source of one-dimensional heat conduction equation by using only minimal boundary thermal data
|
Liu, Chein-Shan |
| 國立臺灣大學 |
2011 |
Using a Lie-group adaptive method for the identification of a nonhomogeneous conductivity function and unknown boundary data
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Liu, Chein-Shan |
| 國立臺灣大學 |
2011 |
A New Insight into the Differential Quadrature Method in Solving 2-D Elliptic PDEs
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Shen, Ying-Hsiu; Liu, Chein-Shan |
| 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
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Liu, Chein-Shan; Atluri, Satya N. |
| 國立臺灣大學 |
2011 |
The Method of Fundamental Solutions for Solving the Backward Heat Conduction Problem with Conditioning by a New Post-Conditioner
|
Liu, Chein-Shan |
| 國立臺灣大學 |
2011 |
A Lie-Group Adaptive Method to Identify Spatial-Dependence Heat Conductivity Coefficients
|
Liu, Chein-Shan |
| 國立臺灣大學 |
2010 |
A new algorithm for direct and backward problems of heat conduction equation
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Chang, Chih-Wen; Liu, Chein-Shan |
| 國立臺灣大學 |
2010 |
A two-stage Lie-group shooting method (TSLGSM) to identify time-dependent thermal diffusivity
|
Liu, Chein-Shan |
| 國立臺灣大學 |
2010 |
A Backward Group Preserving Scheme for Multi-Dimensional Backward Wave Problems
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Chang, Chih-Wen; Liu, Chein-Shan |
| 國立臺灣大學 |
2010 |
A highly accurate LGSM for severely ill-posed BHCP under a large noise on the final time data
|
Liu, Chein-Shan |
| 國立臺灣大學 |
2010 |
An iterative and adaptive Lie-group method for solving the Calder n inverse problem
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Liu, Chein-Shan; Atluri, Satya N. |
| 國立臺灣大學 |
2010 |
A Lie-Group Adaptive Method for Imaging a Space-Dependent Rigidity Coefficient in an Inverse Scattering Problem of Wave Propagation
|
Liu, Chein-Shan |
| 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
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Yeih, Weichung; Liu, Chein Shan; Kuo, Chung-Lun; Atluri, Satya N. |
| 國立臺灣大學 |
2010 |
Solving non-linear algebraic equations by a scalar Newton-homotopy continuation method
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Ku, Cheng-Yu; Yeih, Weichung; Liu, Chein-Shan |
| 國立臺灣大學 |
2010 |
A Quasi-Boundary Semi-Analytical Approach for Two-Dimensional Backward Advection-Dispersion Equation
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Chang, Chih-Wen; Liu, Chein-Shan |
| 國立臺灣大學 |
2010 |
A Backward Group Preserving Scheme for Multi-Dimensional Backward Heat Conduction Problems
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Chang, Chih-Wen; Liu, Chein-Shan |
| 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
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Liu, Chein-Shan; Yeih, Weichung; Atluri, Satya N. |
| 國立臺灣大學 |
2010 |
A quasi‐boundary semi‐analytical method for backward heat conduction problems
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Chang, Chih-Wen; Liu, Chein-Shan; Chang, Jiang-Ren |
| 國立臺灣大學 |
2010 |
The fictitious time integration method to solve the space-and time-fractional Burgers equations
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Liu, Chein-Shan |
| 國立臺灣大學 |
2010 |
Fictitious time integration method of fundamental solutions with Chebyshev polynomials for solving Poisson-type nonlinear PDEs
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Tsai, Chia-Cheng; Liu, Chein-Shan; Yeih, Wei-Chung |
| 國立臺灣大學 |
2010 |
A quasi-boundary semi-analytical approach for two-dimensional backward heat conduction problems
|
Chang, Chih-Wen; Liu, Chein-Shan; Chang, Jiang-Ren |
| 國立臺灣大學 |
2010 |
The Scalar Homotopy Method for Solving Non-Linear Obstacle Problem
|
Fan, Chia-Ming; Liu, Chein-Shan; Yeih, Weichung; Chan, Hsin-Fang |
