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The Implicit Midpoint Procedures for Asymptotically Nonexpansive Mappings
The concept of asymptotically nonexpansive mappings is an important generalization of the class of nonexpansive mappings. Implicit midpoint procedures are extremely fundamental for solving equations involving nonlinear operators.
M. O. Aibinu, S. C. Thakur, S. Moyo
doaj +1 more source
The foremost aim of this paper is to suggest a local study for high order iterative procedures for solving nonlinear problems involving Banach space valued operators. We only deploy suppositions on the first-order derivative of the operator.
Ramandeep Behl +2 more
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Preconditioned fully implicit PDE solvers for monument conservation [PDF]
Mathematical models for the description, in a quantitative way, of the damages induced on the monuments by the action of specific pollutants are often systems of nonlinear, possibly degenerate, parabolic equations. Although some the asymptotic properties
Berger A. E. +3 more
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Poisson inverse problems [PDF]
In this paper we focus on nonparametric estimators in inverse problems for Poisson processes involving the use of wavelet decompositions. Adopting an adaptive wavelet Galerkin discretization, we find that our method combines the well-known theoretical ...
Antoniadis, Anestis, Bigot, Jéremie
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The Magnus expansion and some of its applications [PDF]
Approximate resolution of linear systems of differential equations with varying coefficients is a recurrent problem shared by a number of scientific and engineering areas, ranging from Quantum Mechanics to Control Theory.
Abramowitz +235 more
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2-D Prony-Huang Transform: A New Tool for 2-D Spectral Analysis [PDF]
This work proposes an extension of the 1-D Hilbert Huang transform for the analysis of images. The proposed method consists in (i) adaptively decomposing an image into oscillating parts called intrinsic mode functions (IMFs) using a mode decomposition ...
Borgnat, Pierre +4 more
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Neighborhood filters and the decreasing rearrangement [PDF]
Nonlocal filters are simple and powerful techniques for image denoising. In this paper, we give new insights into the analysis of one kind of them, the Neighborhood filter, by using a classical although not very common transformation: the decreasing ...
Galiano, Gonzalo, Velasco, Julián
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Analysis of Iterative Methods for the Steady and Unsteady Stokes Problem: Application to Spectral Element Discretizations [PDF]
A new and detailed analysis of the basic Uzawa algorithm for decoupling of the pressure and the velocity in the steady and unsteady Stokes operator is presented.
Maday, Yvon +3 more
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In [J. Math. Anal. Appl. 204, No. 3, 677-692 (1996; Zbl 0882.47030)] \textit{M. O. Osilike} established several stability results for certain Mann and Ishikawa iteration procedures for fixed points of Lipschitz strong pseudocontractions and solutions of nonlinear accretive operator equations in real \(q\)-uniformly smooth Banach spaces.
openaire +2 more sources
Dynamics with Infinitely Many Derivatives: The Initial Value Problem
Differential equations of infinite order are an increasingly important class of equations in theoretical physics. Such equations are ubiquitous in string field theory and have recently attracted considerable interest also from cosmologists.
A. Kilbas +50 more
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