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The theory and applications of Iteration Methods is a very fast-developing field of numerical analysis and computer methods. The second edition is completely updated and continues to present the state-of-the-art contemporary theory of iteration methods with practical applications, exercises, case studies, and examples of where and how they can be used. The Theory and Applications of Iteration ...

In computational mathematics, an iterative method is a mathematical procedure that uses an initial value to generate a sequence of improving approximate ...

Applications of optimal perturbation iteration method for solving nonlinear differential equations. AIP Conference Proceedings 1798, 020046 (2017); ...

The Theory and Applications of Iteration Methods focuses on an abstract iteration scheme that consists of the recursive application of a ...

Mar 31, 2021 · Iterative processes are the tools used to generate sequences approximating solutions of equations describing real life problems. Intended for researchers in computational sciences and as a reference book for advanced computational method in nonlinear analysis, this book is a collection of the recent results on the convergence analysis of numerical algorithms in both finite-dimensional and ...

15.09.1993 · The Theory and Applications of Iteration Methods focuses on an abstract iteration scheme that consists of the recursive application of a point-to-set mapping. Each chapter presents new theoretical results and important applications in engineering, dynamic economic systems, and input-output systems.

01.06.2012 · This paper applies the variational iteration method to free vibration conservative oscillators. In Section 2, the mathematical model is developed. The VIM is briefly explained in Section 3. Section 4 deals with applying VIM to the problem of large amplitude free vibrations of conservative oscillators.

This article presents the fractional Laplace transform with the help of new iterative method (NIM) is extended for an estimated solution of ...

Applications Of Iterative Methods. Chapter. 1 Citations. 456 Downloads. Part of the Mathematics and Its Applications book series (MAIA, volume 577)

31.03.2021 · Iterative processes are the tools used to generate sequences approximating solutions of equations describing real life problems. Intended for researchers in computational sciences and as a reference book for advanced computational method in nonlinear analysis, this book is a collection of the recent results on the convergence analysis of numerical algorithms …

21.01.2022 · The Theory and Applications of Iteration Methods, Second Edition includes newly developed iteration methods taking advantage of the most recent technology (computers, robots, machines). It extends the applicability of well-established methods by increasing the convergence domain and offers sharper error tolerance.

Many problems in science and engineering are modeled in such a way that, for their solution, it is necessary to solve systems of nonlinear equations. Therefore, ...

The variational iteration method (VIM) is applied to the solution of general Riccati differential equations. The equations under consideration includes one with variable coefficient and one in ...

Oct 22, 2015 · 2. Design of the methods. In this section, we introduce three techniques for designing iterative methods for solving nonlinear systems of equations: pseudo-composition, weight function procedure, and a technique for extending scalar methods to the multidimensional case, in a non-trivial way.

22.10.2015 · In this chapter, we present an overview of some multipoint iterative methods for solving nonlinear systems obtained by using different techniques such as composition of known methods, weight function procedure, and pseudo-composition, etc. The dynamical study of these iterative schemes provides us valuable information about their stability and reliability.

Jun 01, 2012 · Among several analytical methods, the Variational Iteration Method (VIM) is one of the most accurate and efficient for studying nonlinear systems . The variational iteration method, which is developed by Ji-Huan He , , provides an effective and efficient tool for solving an extensive range of nonlinear equations , , .

Sep 15, 1993 · The Theory and Applications of Iteration Methods focuses on an abstract iteration scheme that consists of the recursive application of a point-to-set mapping. Each chapter presents new theoretical results and important applications in engineering, dynamic economic systems, and input-output systems.

The new iterative method is more superior than the other nonlinear methods, such as the perturbation methods where this method does not depend on small ...

In computational mathematics, an iterative method is a mathematical procedure that uses an initial value to generate a sequence of improving approximate solutions for a class of problems, in which the n-th approximation is derived from the previous ones. A specific implementation of an iterative method, including the termination criteria, is an algorithmof the iterative method. An iterative method is called convergent if the corresponding sequence converges for given initial a…

The iterative method for solving large sparse linear equations is not only the main content of numerical algebra theory, but also an important method to ...