Results 231 to 240 of about 6,816 (262)

Iterative Methods for Variational Inequalities

2019
Variational inequalities can be viewed as novel and significant extension of variational principles. A wide class of unrelated problems, which arise in various branches of pure and applied sciences are being investigated in the unified framework of variational inequalities.
Muhammad Aslam Noor, Khalida Inayat Noor, Themistocles M. Rassias   +2 more
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Convergence of an Iterative Method for Total Variation Denoising

SIAM Journal on Numerical Analysis, 1997
Consider the problem of reconstructing an unknown function \(u\), called the image, from data \(z\) satisfying \(z=u+\varepsilon \), where \(\varepsilon\) is error/noise in the data. Suppose \(u\in\Omega\subset\mathbb{R}^d\), \(d=1,2,\) or \(3\), which is bounded convex with Lipschitz continuous boundary \(\partial\Omega\). Suppose \(u\) is blocky, i.e.
Dobson, David C., Vogel, Curtis R.
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Iterative Methods of Variational Type

1989
In this chapter we look at two-level and three-level iterative methods of variational type. Implementing these methods requires no a priori information about the operators of the scheme. In Sections 8.1, 8.2 two-level gradient methods are studied, and in Sections 8.3, 8.4, the three-level conjugate-direction methods are presented.
Aleksandr A. Samarskii, Evgenii S. Nikolaev   +1 more
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SOLUTIONS OF HELMHOLTZ EQUATIONS BY VARIATIONAL ITERATION METHOD

Modern Physics Letters B, 2009
In this letter, we discuss an application of the variational iteration method on obtaining series solution and exact solution of Helmholtz equation with initial conditions. The suggested algorithms are quite efficient and are practically well-suited for use in this class of equation.
Chen, Ruyun, Xiang, Shuhuang
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An Iteration-Variation Method for Atomic Scattering Problems

Proceedings of the Physical Society, 1962
The paper is concerned with the solution of the integro-differential equations of atomic scattering theory. In previous work, approximate analytic solutions have been obtained using variational methods and numerical solutions have been obtained by iteration.
Saraph, H. E., Seaton, M. J.
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A Modified Variational Iteration Method for Nonlinear Oscillators

International Journal of Nonlinear Sciences and Numerical Simulation, 2012
Abstract A modified variational iteration method (MVIM) is proposed for nonlinear oscillators. Different from the existing VIM, the algebraic equation deduced at each iteration stage is always linear when the proposed approach is applied to conservative oscillators. Therefore, highly accurate approximations can be easily obtained.
Yang, Q. W., Chen, Y. M., Liu, J. K., Zhao, W.   +3 more
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Implicit Iterative Methods for Nonconvex Variational Inequalities

Journal of Optimization Theory and Applications, 2009
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An effective modification of He’s variational iteration method

Nonlinear Analysis: Real World Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ghorbani, Asghar, Saberi-Nadjafi, Jafar
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The use of He's variational iteration method for solving variational problems

International Journal of Computer Mathematics, 2010
In this paper, the variational iteration method is implemented to give approximate solution of the Euler-Lagrange, Euler-Poisson and Euler-Ostrogradsky equations as ordinary (or partial) differential equations which arise from the variational problems.
Sohrab Ali Yousefi, Mehdi Dehghan 0002
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He's Variational Iteration Method

2017
In this chapter, a variational iteration method (VIM) has been applied to nonlinear heat transfer equation. The concept of the variational iteration method is introduced briefly for applying this method for problem solving. The proposed iterative scheme finds the solution without any discretization, linearization, or restrictive assumptions.
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