Results 21 to 30 of about 3,335 (249)

Convergence Rate of Some Two-Step Iterative Schemes in Banach Spaces

Journal of Mathematics, 2016
This article proves some theorems to approximate fixed point of Zamfirescu operators on normed spaces for some two-step iterative schemes, namely, Picard-Mann iteration, Ishikawa iteration, S-iteration, and Thianwan iteration, with their errors.
O. T. Wahab, R. O. Olawuyi, K. Rauf, I. F. Usamot   +3 more
doaj   +1 more source

On the Existence and Uniqueness of Solutions for Multidimensional Fractional Stochastic Differential Equations with Variable Order

Mathematics, 2021
Fractional stochastic differential equations are still in their infancy. Based on some existing results, the main difficulties here are how to deal with those equations if the fractional order is varying with time and how to confirm the existence of ...
Seyfeddine Moualkia, Yong Xu
doaj   +1 more source

Finite Element Simulation of Thermo-Mechanical Model with Phase Change

Computation, 2021
In this work, we consider a mathematical model and finite element implementation of heat transfer and mechanics of soils with phase change. We present the construction of the simplified mathematical model based on the definition of water and ice fraction
Maria Vasilyeva, Dmitry Ammosov, Vasily Vasil’ev   +2 more
doaj   +1 more source

Real-Time Hardware Identification of Complex Dynamical Plant by Artificial Neural Network Based on Experimentally Processed Data by Smart Technologies

Engineering Proceedings, 2023
Artificial neural networks with different structures are used for identification of complex dynamic plant with distributed parameters. The plant is a high-temperature plasma in the spherical Globus-M2 tokamak.
Valerii I. Kruzhkov, Yuri V. Mitrishkin, Eugenia A. Pavlova   +2 more
doaj   +1 more source

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
doaj   +2 more sources

Mean Square Finite-Approximate Controllability of Semilinear Stochastic Differential Equations with Non-Lipschitz Coefficients

Mathematics, 2023
In this paper, we present a study on mean square approximate controllability and finite-dimensional mean exact controllability for the system governed by linear/semilinear infinite-dimensional stochastic evolution equations.
Nazim I. Mahmudov
doaj   +1 more source

The Equivalence between T-Stabilities of The Krasnoselskij and The Mann Iterations

Fixed Point Theory and Applications, 2007
We prove the equivalence between the T-stabilities of the Krasnoselskij and the Mann iterations; a consequence is the equivalence with the T-stability of the Picard-Banach iteration.
Ştefan M. Şoltuz
doaj   +1 more source

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 Development
Solving 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, A. Humbert, A. Humbert, T. Slawig, T. Slawig   +4 more
doaj   +1 more source

A Picard-Mann hybrid iterative process [PDF]

Fixed Point Theory and Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

The equivalence between T-stabilities of Krasnoselskij and Ishikawa iterations

Journal of Numerical Analysis and Approximation Theory, 2008
We prove the equivalence between the \(T\)-stabilities of Krasnoselskij and Ishikawa iterations; a consequence is the equivalence with the \(T\)-stability of Picard-Banach iteration.
Ştefan M. Şoltuz
doaj   +2 more sources