Comment on the asymptotic iteration method for polynomial potentials
Journal of Physics A: Mathematical and Theoretical, 2007It is shown that polynomial potentials can be treated by a method which cuts out most of the complications of the popular AIM approach. Several examples are given to show how expectation values and resonance energies can be calculated using the simplified approach.
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Application of asymptotic iteration method to a deformed well problem
Chinese Physics B, 2016The asymptotic iteration method (AIM) is used to obtain the quasi-exact solutions of the Schrodinger equation with a deformed well potential. For arbitrary potential parameters, a numerical aspect of AIM is also applied to obtain highly accurate energy eigenvalues.
Kisoglu, H. F., ÇİFTCİ, HAKAN
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Asymptotic Rate of Convergence of a Two-Layer Iterative Method of the Variational Type
Ukrainian Mathematical Journal, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhuk, P. F., Musina, A. A.
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Convergence of the modified Mann’s iteration method for asymptotically strict pseudo-contractions
Nonlinear Analysis: Theory, Methods & Applications, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim, Tae-Hwa, Xu, Hong-Kun
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Asymptotic Stability and the Method of Iterated Averages for Almost Periodic Systems
SIAM Journal on Mathematical Analysis, 1982New stability methods are developed for a class of nonperiodic systems that include a large general class of almost periodic systems. Estimates of global domains of stability and rates of decay on these domains are obtained. Examples of chaotic motion and strange attractors are treated.
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A New Hybrid Iteration Method forI-Asymptotically Nonexpansive Mappings
Numerical Functional Analysis and Optimization, 2016ABSTRACTIn this article, convergence theorems are established for a new hybrid iteration for a finite family of I-asymptotically nonexpansive mappings. Our results extend, generalize, and unify various known results in the existing literature.
Yolacan, Esra, KIZILTUNÇ, Hükmi
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Asymptotic iteration method applied to new confining potentials
Pramana, 2019This work intends to evaluate the energy spectrum of a particle influenced by the new type of confined interactions introduced in our previous work [Assi and Sous, Eur. Phys. J. Plus 133(5), 175 (2018); Assi et al, Mod. Phys. Lett. 33(32), 1850128 (2018)].
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Iterative Methods for Fixed Points of Asymptotically Weakly Contractive Maps
Applicable Analysis, 2003Suppose K is a closed convex nonexpansive retract of a real uniformly smooth Banach space E with P as the nonexpansive retraction. Suppose T : K → E is an asymptotically d-weakly contractive map with sequence {kn }, kn ≥ 1, lim kn = 1 and with F(T) n int (K) ≠ o F(T):= {x ∈ K: Tx = x}.
R.P. Gilbert +3 more
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Asymptotic Behavior of Scaled Iterates by Diagonalization Methods
2002Diagonalization methods for solving eigenvalue and singular value problems have been lately reconsidered for their accuracy properties. The usual measures of advancing of the processes and the corresponding stopping criteria have been replaced by ones which warrant that all output data are computed with possibly highest relative accuracy.
Hari, Vjeran, Matejaš, Josip
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The Klein-Gordon equation with ring-shaped potentials: Asymptotic iteration method
Journal of Mathematical Physics, 2012This study presents the solutions of three dimensional Klein-Gordon equation for the spherically and non-spherically harmonic oscillatory ring-shaped potentials within the framework of asymptotic iteration method. Using the method of variable separation, this study obtains the radial and angular equations.
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