Results 1 to 10 of about 3,014 (152)
Picard Iterations for Diffusions on Symmetric Matrices [PDF]
Journal of Theoretical Probability, 2015 Matrix-valued stochastic processes have been of significant importance in areas such as physics, engineering and mathematical finance. One of the first models studied has been the so-called Wishart process, which is described as the solution of a stochastic differential equation in the space of matrices.
CARLOS G Pacheco
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Implicit Error Bounds for Picard Iterations on Hilbert Spaces
Vietnam Journal of Mathematics, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D Russell Luke +2 more
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On the numerical Picard iterations with collocations for the initial value problem
Journal of Numerical Analysis and Approximation Theory, 2019 Some variants of the numerical Picard iterations method are presented to solve an IVP for an ordinary differential system. The term "numerical" emphasizes that a numerical solution is computed.
Ernest Scheiber
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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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Fixed Point Theory and Applications, 2008 The purpose of this paper is to compare convergence speed of the Picard and Mann iterations on one hand, Krasnoselskij and Ishikawa iterations on the other hand, for the class of Zamfirescu operators. The results improve corresponding results of (Berinde
Zhiqun Xue
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CoRR, 2021 The Banach-Picard iteration is widely used to find fixed points of locally contractive (LC) maps. This paper extends the Banach-Picard iteration to distributed settings; specifically, we assume the map of which the fixed point is sought to be the average of individual (not necessarily LC) maps held by a set of agents linked by a communication network ...
Francisco L. Andrade +2 more
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A modification of the convergence conditions for Picard's iteration [PDF]
Computational & Applied Mathematics, 2004 To solve by successive approximation nonlinear equations of the form F(x)=0, where F:Ω⊆X→X, is an operator defined on an open convex domain of a Banach space X with values in X, one uses a fixed point theorem based method which requires the operator G(x)=x−F(x) to be a contraction. This has a very limited scope of applicability.
Ezquerro, J. A., Hernández, M. A.
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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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An Investigation of an Integral Equation Involving Convex–Concave Nonlinearities
Mathematics, 2021 We investigate the existence and uniqueness of positive solutions to an integral equation involving convex or concave nonlinearities. A numerical algorithm based on Picard iterations is provided to obtain an approximation of the unique solution. The main
Ravi P. Agarwal +2 more
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ANALYSIS OF MODIFIED PASSIVE SAFETY SYSTEM IN FAST RECTORS TRANSIENTS [PDF]
EPJ Web of Conferences, 2021 The Autonomous Reactivity Control (ARC) system is a passive safety system aiming to provide an additional negative reactivity feedback during reactor transient scenarios.
Oggioni Carlo +2 more
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