Results 11 to 20 of about 1,452 (183)
Remarks on Picard-Lindelöf iteration
BIT, 1989 The paper discusses Picard-Lindelof iteration for systems of autonomous linear equations on finite intervals, as well as its numerical variants. Most of the discussion is under a model assumption which roughly says that the coupling terms are of moderate size compared with the slow time scales in the problem.
Ulla Miekkala, Olavi Nevanlinna
exaly +5 more sources
Mandelbrot Sets and Julia Sets in Picard-Mann Orbit
IEEE Access, 2020 The purpose of this paper is to introduce the Mandelbrot and Julia sets by using Picard-Mann iteration procedure. Escape criteria is established which plays an important role to generate Mandelbrot and Julia sets.
Cui Zou +4 more
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Fractal and FractionalFractals are a common characteristic of many artificial and natural networks having topological patterns of a self-similar nature. For example, the Mandelbrot set has been investigated and extended in several ways since it was first introduced, whereas ...
Rekha Srivastava +2 more
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Approximation of Fixed Points for Mean Nonexpansive Mappings in Banach Spaces
Journal of Function Spaces, 2021 In this paper, we establish weak and strong convergence theorems for mean nonexpansive maps in Banach spaces under the Picard–Mann hybrid iteration process.
Junaid Ahmad +3 more
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A PICARD THEOREM FOR ITERATIVE DIFFERENTIAL EQUATIONS [PDF]
Demonstratio Mathematica, 2009 AbstractA Picard type existence and uniqueness theorem is established for iterative differential equations of the ...
Li, Wenrong, Cheng, Sui Sun
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The Picard-HSS-SOR iteration method for absolute value equations
Journal of Inequalities and Applications, 2020 In this paper, we present the Picard-HSS-SOR iteration method for finding the solution of the absolute value equation (AVE), which is more efficient than the Picard-HSS iteration method for AVE.
Lin Zheng
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Iterative approximation of fixed points of contraction mappings in complex valued Banach spaces
Arab Journal of Mathematical Sciences, 2019 We approximate the fixed points of contraction mappings using the Picard–Krasnoselskii hybrid iterative process, which is known to converge faster than all of Picard, Mann and Ishikawa iterations in complex valued Banach spaces.
Godwin Amechi Okeke
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On numerical solution of nonlinear parabolic multicomponent diffusion-reaction problems
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 This work continues our previous analysis concerning the numerical solution of the multi-component mass transfer equations. The present test problems are two-dimensional, parabolic, non-linear, diffusion- reaction equations. An implicit finite difference
Juncu Gh., Popa C., Sarbu Gh.
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Remarks of Equivalence among Picard, Mann, and Ishikawa Iterations in Normed Spaces
Fixed Point Theory and Applications, 2007 We show that the convergence of Picard iteration is equivalent to the convergence of Mann iteration schemes for various Zamfirescu operators. Our result extends of Soltuz (2005).
Xue Zhiqun
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Assessing the benefits of approximately exact step sizes for Picard and Newton solver in simulating ice flow (FEniCS-full-Stokes v.1.3.2) [PDF]
Geoscientific Model DevelopmentSolving the momentum balance is the computationally expensive part of simulating the evolution of ice sheets. The momentum balance is described by the nonlinear full-Stokes equations, which are solved iteratively. We use the Picard iteration and Newton's
N. Schmidt +4 more
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