Results 11 to 20 of about 27 (27)

Numerical‐Computational Model for Nonlinear Analysis of Frames with Semirigid Connection

Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020
A numerical‐computational model for static analysis of plane frames with semirigid connections and geometric nonlinear behavior is presented. The set of nonlinear equations governing the structural system is solved by the Potra–Pták method in an incremental procedure, with order of cubic convergence, combined with the linear arc‐length path‐following ...
Luiz Antonio Farani de Souza, Leandro Vanalli, Arthur Bueno de Luz, Giovanni Lancioni   +3 more
wiley   +1 more source

Optimal High‐Order Methods for Solving Nonlinear Equations

Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014
A class of optimal iterative methods for solving nonlinear equations is extended up to sixteenth‐order of convergence. We design them by using the weight function technique, with functions of three variables. Some numerical tests are made in order to confirm the theoretical results and to compare the new methods with other known ones.
S. Artidiello, A. Cordero, Juan R. Torregrosa, M. P. Vassileva, Ioannis K. Argyros   +4 more
wiley   +1 more source

Third‐Order Newton‐Type Methods Combined with Vector Extrapolation for Solving Nonlinear Systems

Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
We present a third‐order method for solving the systems of nonlinear equations. This method is a Newton‐type scheme with the vector extrapolation. We establish the local and semilocal convergence of this method. Numerical results show that the composite method is more robust and efficient than a number of Newton‐type methods with the other vector ...
Wen Zhou, Jisheng Kou, Vinay Kanwar
wiley   +1 more source

Potra‐Pták Iterative Method with Memory

International Scholarly Research Notices, Volume 2014, Issue 1, 2014., 2014
The problem is to extend the method proposed by Soleymani et al. (2012) to a method with memory. Following this aim, a free parameter is calculated using Newton’s interpolatory polynomial of the third degree. So the R‐order of convergence is increased from 4 to 6 without any new function evaluations.
Taher Lotfi, Stanford Shateyi, Sommayeh Hadadi, I. Straškraba, C. Zhu   +4 more
wiley   +1 more source

On Some Efficient Techniques for Solving Systems of Nonlinear Equations

Advances in Numerical Analysis, Volume 2013, Issue 1, 2013., 2013
We present iterative methods of convergence order three, five, and six for solving systems of nonlinear equations. Third‐order method is composed of two steps, namely, Newton iteration as the first step and weighted‐Newton iteration as the second step.
Janak Raj Sharma, Puneet Gupta, Zhangxing Chen   +2 more
wiley   +1 more source

Iterative Fixed‐Point Methods for Solving Nonlinear Problems: Dynamics and Applications

, 2014
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014.
Juan R. Torregrosa, Alicia Cordero, Vinay Kanwar, Jisheng Kou   +3 more
wiley   +1 more source

Sources of Method Bias in Social Science Research and Recommendations on How to Control It

Annual Review of Psychology, 2012
Scott B Mackenzie
exaly  

Analysis of Relative Gene Expression Data Using Real-Time Quantitative PCR and the 2−ΔΔCT Method

Methods, 2001
Thomas D Schmittgen
exaly  

Numerical renormalization group method for quantum impurity systems

Reviews of Modern Physics, 2008
Ralf Bulla, Theo A Costi
exaly  

iDISCO: A Simple, Rapid Method to Immunolabel Large Tissue Samples for Volume Imaging

Cell, 2014
Nicolas Renier, Zhuhao Wu, David J Simon
exaly