| 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 |
The Lie-group shooting method for solving the Bratu equation
|
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
|
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
|
Liu, Chein-Shan; Atluri, Satya N. |
| 國立臺灣大學 |
2011 |
A Highly Accurate Multi-Scale Full/Half-Order Polynomial Interpolation
|
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
|
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
|
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
|
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
|
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
|
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
|
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
|
Liu, Chein-Shan |
| 國立臺灣大學 |
2011 |
A New Insight into the Differential Quadrature Method in Solving 2-D Elliptic PDEs
|
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
|
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
|
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
|
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
|
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
|
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
|
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
|
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
|
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
|
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
|
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
|
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
|
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 |
| 國立臺灣大學 |
2010 |
The Lie-Group Shooting Method for Computing the Generalized Sturm-Liouville Problems
|
Liu, Chein-Shan |
| 臺大學術典藏 |
2010 |
The Scalar Homotopy Method for Solving Non-Linear Obstacle Problem
|
Fan, Chia-Ming;Liu, Chein-Shan;Yeih, Weichung;Chan, Hsin-Fang; Fan, Chia-Ming; Liu, Chein-Shan; Yeih, Weichung; Chan, Hsin-Fang |
| 國立臺灣大學 |
2009-09 |
A MATHEMATICAL REVISION OF THE LANDAU-LIFSHITZ EQUATION
|
Liu, Chein-Shan; Chen, Kuo-Ching; Yeh, Chau-Shioung |
| 國立臺灣大學 |
2009 |
A new shooting method for quasi-boundary regularization of multi-dimensional backward heat conduction problems
|
Chang, Chih-Wen; Liu, Chein-Shan; Chang, Jiang-Ren |
| 國立臺灣大學 |
2009 |
Solving the inverse problems of Laplace equation to determine the Robin coefficient/cracks’ position inside a disk
|
Liu, Chein-Shan |
| 國立臺灣大學 |
2009 |
A fictitious time integration method for solving m-point boundary value problems
|
Liu, Chein-Shan |
| 國立臺灣大學 |
2009 |
A novel method for solving the Cauchy problem of Laplace equation using the fictitious time integration method
|
Chi, Chih-Chang; Yeih, Weichung; Liu, Chein-Shan |
| 國立臺灣大學 |
2009 |
Applications of the modified Trefftz method for the Laplace equation
|
Chen, Yung-Wei; Liu, Chein-Shan; Chang, Jiang-Ren |
| 國立臺灣大學 |
2009 |
A quasi-boundary semi-analytical method for backward in time advection-dispersion equation
|
Liu, Chein-Shan; Chang, Chih-Wen; Chang, Jiang-Ren |
| 國立臺灣大學 |
2009 |
A fictitious time integration method for the Burgers equation, CMC
|
Liu, Chein-Shan |
| 國立臺灣大學 |
2009 |
A new method for Fredholm integral equations of 1D backward heat conduction problems
|
Liu, Chein-Shan |
| 國立臺灣大學 |
2009 |
A two-stage LGSM to identify time-dependent heat source through an internal measurement of temperature
|
Liu, Chein-Shan |
| 國立臺灣大學 |
2009 |
Novel methods for solving severely ill-posed linear equations system
|
Liu, Chein-Shan; Chang, Chih-Wen |
| 國立臺灣大學 |
2009 |
A fictitious time integration method for solving delay ordinary differential equations
|
Liu, Chein-Shan |
| 國立臺灣大學 |
2009 |
A mathematical revision of the Landau-Lifshitz equation
|
Liu, Chein-Shan; Chen, Kuo-Ching; Yeh, Chau-Shioung |
