Results 11 to 20 of about 54,219 (283)
Random nonlinear equations and monotonic nonlinearities
AbstractThe question of existence of random solutions of nonlinear random operator equations involving a monotonic nonlinearity is discussed.
Kannan, R, Salehi, H
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Convergent finite difference methods for one-dimensional fully nonlinear second order partial differential equations [PDF]
This paper develops a new framework for designing and analyzing convergent finite difference methods for approximating both classical and viscosity solutions of second order fully nonlinear partial differential equations (PDEs) in 1-D.
Feng, Xiaobing +2 more
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Positive Decreasing Solutions of Higher-Order Nonlinear Difference Equations
It is shown that the decay rates of the positive, monotone decreasing solutions approaching the zero equilibrium of higher-order nonlinear difference equations are related to the positive characteristic values of the corresponding linearized equation. If
B. Krasznai, I. Győri, M. Pituk
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In this article, we propose a modified self-adaptive conjugate gradient algorithm for handling nonlinear monotone equations with the constraints being convex. Under some nice conditions, the global convergence of the method was established.
Auwal Bala Abubakar +3 more
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Existence of solution to an evolution equation and a justification of the DSM for equations with monotone operators [PDF]
An evolution equation, arising in the study of the Dynamical Systems Method (DSM) for solving equations with monotone operators, is studied in this paper.
Hoang, N. S., Ramm, A. G.
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One of the fastest growing and efficient methods for solving the unconstrained minimization problem is the conjugate gradient method (CG). Recently, considerable efforts have been made to extend the CG method for solving monotone nonlinear equations.
Auwal Bala Abubakar +4 more
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A number of practical problems in science and engineering can be converted into a system of nonlinear equations and therefore, it is imperative to develop efficient methods for solving such equations.
Aliyu Muhammed Awwal +4 more
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A new three-term conjugate gradient-based projection method is presented in this paper for solving large-scale nonlinear monotone equations. This method is derivative-free and it is suitable for solving large-scale nonlinear monotone equations due to its
Mompati Koorapetse, Professor Kaelo
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Controlling Mackey--Glass chaos [PDF]
The Mackey--Glass equation, which was proposed to illustrate nonlinear phenomena in physiological control systems, is a classical example of a simple looking time delay system with very complicated behavior. Here we use a novel approach for chaos control:
Kiss, Gábor, Röst, Gergely
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A method with inertial extrapolation step for convex constrained monotone equations
In recent times, various algorithms have been incorporated with the inertial extrapolation step to speed up the convergence of the sequence generated by these algorithms.
Abdulkarim Hassan Ibrahim +3 more
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