Inverse Multiscale Discrete Radon Transform by Filtered Backprojection by José G. Marichal-Hernández, Ricardo Oliva-García, Óscar Gómez-Cárdenes, Iván Rodríguez-Méndez, José M. Rodríguez-Ramos

“…It is a well-conditioned inversion that exhibits a resistance against noise similar to that of iterative methods.…”
Get full text

Development of iOS app for power system by Yeo, Wei Xuan

“…The final year project aims to develop a mobile app that helps educate users on the Gauss- Seidel and Newton Raphson learning process and provide a final solution for the iteration method. The mobile app will be developed using Flutter as the framework and Dart as the programming language. …”
Get full text

Block preconditioners for the discrete incompressible Navier-Stokes equations by Elman, H, Silvester, D, Wathen, A

“…We examine the convergence characteristics of iterative methods based on a new preconditioning operator for solving the linear systems arising from discretization and linearization of the steady-state Navier-Stokes equations. …”

Preconditioning techniques for Newton's method for the incompressible Navier-Stokes equations by Elman, H, Loghin, D, Wathen, A

“…Newton's method for the incompressible Navier-Stokes equations gives rise to large sparse non-symmetric indefinite matrices with a so-called saddle-point structure for which Schur complement preconditioners have proven to be effective when coupled with iterative methods of Krylov type. In this work we investigate the performance of two preconditioning techniques introduced originally for the Picard method for which both proved significantly superior to other approaches such as the Uzawa method. …”

Complexity Reduction Approach for Solving Second Kind of Fredholm Integral Equations by Mohana Sundaram Muthuvalu, Elayaraja Aruchunan, Majid Khan Majahar Ali, Chew, Jackel Vui Lung, Andang Sunarto, Ramoshweu Lebelo, Jumat Sulaiman

“…Half- and quarter-sweep iterative methods are applied to solve dense linear systems generated from the discretization of the second kind of linear Fredholm integral equations using a repeated modified trapezoidal (RMT) scheme. …”
Get full text
Get full text

A Total Variation Regularization Based Super-Resolution Reconstruction Algorithm for Digital Video by Zhang Liangpei, Lam Edmund Y, Ng Michael K, Shen Huanfeng

“…We use the fixed-point iteration method and preconditioning techniques to efficiently solve the associated nonlinear Euler-Lagrange equations of the corresponding variational problem in SR. …”
Get full text

A note on the solution of general Falkner-Skan problem by two novel semi-analytical techniques by Ahmed Khidir

“…The aim of this paper is to give a presentation of two new iterative methods for solving non-linear differential equations, they are successive linearisation method and spectral homotopy perturbation method. …”
Get full text

New Modeling of Steady-State Modes of Complex Electrical Grids of Power Systems by Akhmetbayev Arman, Akhmetbayev Dauren, Zhumazhanov Serik, Zhakishev Bauyrzhan

“…Nonlinear equations are solved by iterative methods, which are connected by known difficulties. …”
Get full text

Artificial intelligence based hybridization for economic power dispatch by Kothuri Rama Krishna, Rajesh Kumar Samala

“…The fuel cost for both systems compared using conventional lambda-iteration method and PSO method. These calculations are done for without transmission loss as well as with transmission losses. …”
Get full text

Research on intrusion detection system based on two-level algorithm by 覃伯平, 周贤伟, 宋存义

“…With the joint of two-level algorithm and GMDH multi-stage iterate method, TAIDS would construct models simultaneously with data from different time range, which could enlarge the time range of the detected intrusive behavior. …”
Get full text

The Research on Thermal Load of Passenger Car Compartment in Idling Working Conditions by Li Kuining, Li Jin, Guo Junfeng, Liu Bin

“…Based on the thermal equilibrium equation of vehicle envelope considering the impact of external heat radiation, the Newton iteration method was used to calculate both the envelope temperature and the heat flux through the envelope in the idling working condition. …”
Get full text

Comparison of Approximate Analytical and Numerical Solutions of the Allen Cahn Equation by Safdar Hussain, Fazal Haq, Abdullah Shah, Dilsora Abduvalieva, Ali Shokri

“…Here, we used the variational iteration method (VIM) to find approximate analytical solution for AC equation. …”
Get full text

Generalized linear mixed quantile regression with panel data. by Xiaoming Lu, Zhaozhi Fan

“…The parameter estimation is based on the Newton-Raphson iteration method. Our proposed quantile mixed model gives consistent estimates that have asymptotic normal distributions. …”
Get full text

A Numerical Approach for the Analytical Solution of Multidimensional Wave Problems by Jinxing Liu, Jiahua Fang, Muhammad Nadeem, Yahya Alsayyad

“…Since the variational iteration method (VIM) has some assumptions and restrictions of variables during the construction of the recurrence relation, we present a Sawi integral transform for the construction of the recurrence to overcome this difficulty. …”
Get full text

Research on intrusion detection system based on two-level algorithm by 覃伯平, 周贤伟, 宋存义

“…With the joint of two-level algorithm and GMDH multi-stage iterate method, TAIDS would construct models simultaneously with data from different time range, which could enlarge the time range of the detected intrusive behavior. …”
Get full text

Regularizing Inverse Preconditioners for Symmetric Band Toeplitz Matrices by O. Menchi, G. Lotti, P. Favati

“…Among the many regularization methods used for treating the problem, iterative methods have been shown to be effective. In this paper, we consider the case of a blurring function defined by space invariant and band-limited PSF, modeled by a linear system that has a band block Toeplitz structure with band Toeplitz blocks. …”
Get full text

Tooth Profile Optimization Design of Cup Flexspline Harmonic Drive by Sun Yuqin

“…For the purpose of improving the engagement qualities of harmonic drive（ HD）,taking the HD with the drive ratio 100 as example,the basic conjugated tooth profile for involute tooth profile is calculated based on the modified kinematics method of HD and the elastic deformation of flexspline,the tooth profile optimization design model is established and calculated by using the iteration method of MATLAB,in order to verify the correctness of the aforementioned model,the engagement state of the tooth profile after optimized is studied.The results show that effective conjugate exist domain and effective conjugate tooth profile are found,in order to avoid the interference during the engagement process,the three-dimensional tooth profile must be applied as the conjugate tooth profile.Finally,the correctness of all of the aforementioned model are verified by the characteristics,such as non-interference during the assembly and movement process,more number of teeth participated in engagement and large transmission ratio.…”
Get full text

Spreadsheet Implementation of Numerical and Analytical Solutions to Some Classical Partial Differential Equations by Mark A Lau

“…The numerical solutions can be easily obtained once the differential equations are discretized via finite differences and then using cell formulas to implement the resulting recursive algorithms and other iterative methods such as the successive over-relaxation (SOR) method. …”
Get full text

System Matrix Analysis for Computed Tomography Imaging. by Liubov Flores, Vicent Vidal, Gumersindo Verdú

“…For this reason, iterative methods of image reconstruction have become a topic of increased research interest. …”
Get full text

Analysis of Fractional Kundu-Eckhaus and Massive Thirring Equations Using a Hybridization Scheme by Muhammad Nadeem, Hanan A. Wahash

“…Since the variational iteration method involves integration, the Laplace transform involves convolution theorem in recurrence relation to derive the series solution. …”
Get full text