Results 21 to 30 of about 1,986,683 (337)
Iterated Numerical Homogenization for MultiScale Elliptic Equations with Monotone Nonlinearity [PDF]
Multiscale Modeling & Simulation, 2021 Nonlinear multi-scale problems are ubiquitous in materials science and biology. Complicated interactions between nonlinearities and (nonseparable) multiple scales pose a major challenge for analysis and simulation. In this paper, we study the numerical homogenization for multi-scale elliptic PDEs with monotone nonlinearity, in particular the Leray ...
Xinliang Liu +2 more
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Mathematics, 2019 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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Mathematics, 2019 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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Mathematical Modelling and Analysis, 2019 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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A method with inertial extrapolation step for convex constrained monotone equations
Journal of Inequalities and Applications, 2021 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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A New Conjugate Gradient Projection Method for Convex Constrained Nonlinear Equations
Complexity, 2020 The conjugate gradient projection method is one of the most effective methods for solving large-scale monotone nonlinear equations with convex constraints.
Pengjie Liu, Jinbao Jian, Xianzhen Jiang
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The approximate solution of a monotone nonlinear operator equations
Rocky Mountain Journal of Mathematics, 1986 This paper is concerned with nonlinear equations involving monotone operators and compact perturbations of monotone operators. Projection methods determine approximate solutions. Such equations are put into the more general framework of regular operator approximation theory, which yields the convergence of approximate solutions under minimal hypothesis.
Anselone, P.M., Jin-gan, Lei
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ASYMPTOTICALLY MONOTONE SOLUTIONS OF A NONLINEAR DIFFERENCE EQUATION
Tamkang Journal of Mathematics, 1993 Necessary conditions as well as sufficient conditions for the eventually positive solutions of a class of nonlinear difference equation to be monotone are derived.
Li, Horng Jaan, Cheng, Sui Sun
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Nonlinear equations with weighted potential type operators in Lebesgue spaces
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 By method of monotone operators, existence and uniqueness theorems are proved for some classes of nonlinear equations with weighted potential type operators in Lebesgue spaces.
S. N. Askhabov
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IEEE Access, 2020 In this article, we propose a modified conjugate descent (CD) projection algorithm for solving system of nonlinear monotone equations with convex constraints.
Sani Aji +4 more
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