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New applications of variational iteration method
Physica D: Nonlinear Phenomena, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdou, M. A., Soliman, A. A.
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Laplace transform: Making the variational iteration method easier
Applied Mathematics Letters, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Naveed Anjum, Ji-Huan He
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Iterative Methods for Total Variation Denoising
SIAM Journal on Scientific Computing, 1996The paper is concerned with computing the minimization of the total variation (TV)-penalized least squares functional. A fixed point algorithm is presented and compared with other minimization schemes. This is an alternative approach to minimizing the functional considered in the paper, called ``lagged diffusivity fixed point iteration'' and denoted by
Vogel, C. R., Oman, M. E.
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Direct iteration-variation method for scattering problems
Physical Review A, 1986We propose a direct iterative-variational scheme to solve the large sets of coupled integro-differential equations that arise in a variety of atomic and molecular scattering problems. The method, which is similar to direct configuration-interaction schemes of quantum chemistry, is applied within the linear algebraic (LA) prescription and involves the ...
, Schneider, , Collins
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Modified variational iteration method
Physics Letters A, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Variations of the GMRES iterative method
Applied Numerical Mathematics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kincaid, David R. +2 more
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Iterative Methods for Variational Inequalities
2019Variational 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 +2 more
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The Optimal Variational Iteration Method
2011The variational iteration method was proposed by J. H. He in 1999 [153–155]. The method introduces a reliable and efficient process for a wide variety of scientific and engineering applications, linear and nonlinear, homogeneous or inhomogeneous, equations and systems of equations as well.
Vasile Marinca, Nicolae Herisanu
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On the variational iteration method
Physics Letters A, 2007In this Letter, we will consider He's variational iteration method with considering Adomian's polynomials for finding approximate and exact solutions of some nonlinear equations. Two models of interest in mathematical physics are considered and solved by means of variational iteration method.
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Iterative Methods of Variational Type
1989In 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 +1 more
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