Results 11 to 20 of about 1,976,299 (274)
A generalized iterative scheme with computational results concerning the systems of linear equations
AIMS Mathematics, 2023 In this article, a new generalized iterative technique is presented for finding the approximate solution of a system of linear equations Ax=b. The efficiency of iterative technique is analyzed by implementing it on some examples, and then comparing with ...
Kamsing Nonlaopon +3 more
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Extended domain for fifth convergence order schemes
Cubo, 2021 We provide a local as well as a semi-local analysis of a fifth convergence order scheme involving operators valued on Banach space for solving nonlinear equations.
Ioannis K. Argyros, Santhosh George
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Convergence Rate Analysis [PDF]
, 2009 After showing the convergence of the two numerical methods for Frobenius-Perron operators in the previous chapter, we further investigate the convergence rate problem for them. Keller’s stochastic stability result for a class of Markov operators will be studied first, which leads to his first proof of the L1-norm convergence rate O(ln n/n) for Ulam’s ...
Jiu Ding, Aihui Zhou
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Numerical Solution for Singular Boundary Value Problems Using a Pair of Hybrid Nyström Techniques
Axioms, 2021 This manuscript presents an efficient pair of hybrid Nyström techniques to solve second-order Lane–Emden singular boundary value problems directly. One of the proposed strategies uses three off-step points.
Mufutau Ajani Rufai, Higinio Ramos
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Discretization of Learned NETT Regularization for Solving Inverse Problems
Journal of Imaging, 2021 Deep learning based reconstruction methods deliver outstanding results for solving inverse problems and are therefore becoming increasingly important. A recently invented class of learning-based reconstruction methods is the so-called NETT (for Network ...
Stephan Antholzer, Markus Haltmeier
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Mathematics, 2022 The main aim of this paper is twofold. Our first objective is to study a new system of generalized multivalued variational-like inequalities in Banach spaces and to establish its equivalence with a system of fixed point problems utilizing the concept of ...
Javad Balooee +3 more
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Hermite Fitted Block Integrator for Solving Second-Order Anisotropic Elliptic Type PDEs
Fractal and Fractional, 2022 A Hermite fitted block integrator (HFBI) for numerically solving second-order anisotropic elliptic partial differential equations (PDEs) was developed, analyzed, and implemented in this study.
Emmanuel Oluseye Adeyefa +3 more
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Exponential convergence to equilibrium for subcritical solutions of the Becker-D\"oring equations [PDF]
, 2013 We prove that any subcritical solution to the Becker-D\"{o}ring equations converges exponentially fast to the unique steady state with same mass. Our convergence result is quantitative and we show that the rate of exponential decay is governed by the ...
Cañizo, José A., Lods, Bertrand
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Finite Neuron Method and Convergence Analysis [PDF]
Communications in Computational Physics, 2020 We study a family of $H^m$-conforming piecewise polynomials based on artificial neural network, named as the finite neuron method (FNM), for numerical solution of $2m$-th order partial differential equations in $\mathbb{R}^d$ for any $m,d \geq 1$ and then provide convergence analysis for this method.
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Convergence Analysis of Signed Nonlinear Networks [PDF]
IEEE Transactions on Control of Network Systems, 2020 This work analyzes the convergence properties of signed networks with nonlinear edge functions. We consider diffusively coupled networks comprised of maximal equilibrium-independent passive (MEIP) dynamics on the nodes, and a general class of nonlinear coupling functions on the edges.
Hao Chen +3 more
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