On a splitting method for the Zakharov system
Sign Up to like & getrecommendations! Published in 2018 at "Numerische Mathematik"
DOI: 10.1007/s00211-017-0942-2
Abstract: An error analysis of a splitting method applied to the Zakharov system is given. The numerical method is a Lie–Trotter splitting in time that is combined with a Fourier collocation in space to a fully… read more here.
Keywords: splitting method; method zakharov; zakharov system; method ... See more keywords
Complexity of the relaxed Peaceman–Rachford splitting method for the sum of two maximal strongly monotone operators
Sign Up to like & getrecommendations! Published in 2018 at "Computational Optimization and Applications"
DOI: 10.1007/s10589-018-9996-z
Abstract: This paper considers the relaxed Peaceman–Rachford (PR) splitting method for finding an approximate solution of a monotone inclusion whose underlying operator consists of the sum of two maximal strongly monotone operators. Using general results obtained… read more here.
Keywords: splitting method; relaxed peaceman; peaceman rachford; monotone ... See more keywords
Strong convergence of a forward–backward splitting method with a new step size for solving monotone inclusions
Sign Up to like & getrecommendations! Published in 2019 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-019-0855-z
Abstract: In this paper, our interest is in investigating the monotone inclusion problems in the framework of real Hilbert spaces. To solve this problem, we propose a new modified forward–backward splitting method using the viscosity method… read more here.
Keywords: forward backward; backward splitting; strong convergence; splitting method ... See more keywords
Approximation of backward stochastic partial differential equations by a splitting-up method
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124518
Abstract: Abstract This paper develops a splitting-up method to solution of backward stochastic parabolic partial differential equations. Both splitting equations are simpler for the numerical computations. Two different approximation schemes are given, and their convergence results… read more here.
Keywords: splitting method; approximation backward; partial differential; equations splitting ... See more keywords
Strong convergence of the forward–backward splitting method with multiple parameters in Hilbert spaces
Sign Up to like & getrecommendations! Published in 2018 at "Optimization"
DOI: 10.1080/02331934.2017.1411485
Abstract: Abstract Many problems arising from machine learning, signal & image recovery, and compressed sensing can be casted into a monotone inclusion problem for finding a zero of the sum of two monotone operators. The forward–backward… read more here.
Keywords: splitting method; convergence; convergence forward; forward backward ... See more keywords
Strong convergence of a generalized forward–backward splitting method in reflexive Banach spaces
Sign Up to like & getrecommendations! Published in 2020 at "Optimization"
DOI: 10.1080/02331934.2020.1812607
Abstract: In this paper, we study the so-called generalized monotone quasi-inclusion problem which is a generalization and extension of well-known monotone quasi-inclusion problem. We propose a forward–backw... read more here.
Keywords: splitting method; generalized forward; forward backward; convergence generalized ... See more keywords
Dense-Frequency Signal-Detection Based on the Primal–Dual Splitting Method
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DOI: 10.3390/e24070991
Abstract: Aiming to solve the problem of dense-frequency signals in the power system caused by the growing proportion of new energy, this paper proposes a dense-frequency signal-detection method based on the primal–dual splitting method. After establishing… read more here.
Keywords: dual splitting; splitting method; primal dual; dense frequency ... See more keywords
A New Production-Splitting Method for the Multi-Well-Monitor System
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DOI: 10.3390/en13215677
Abstract: In order to reduce the cost of wellheads, the production rate of the gas wells in the Hechuan Gas Field are mostly measured in groups, which raises a stringent barrier for industries to determine the… read more here.
Keywords: splitting method; production; multi well; well monitor ... See more keywords
An Inertial Forward–Backward Splitting Method for Solving Modified Variational Inclusion Problems and Its Application
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DOI: 10.3390/math11092107
Abstract: In this paper, we propose an inertial forward–backward splitting method for solving the modified variational inclusion problem. The concept of the proposed method is based on Cholamjiak’s method. and Khuangsatung and Kangtunyakarn’s method. Cholamjiak’s inertial… read more here.
Keywords: splitting method; forward backward; backward splitting; inertial forward ... See more keywords
Douglas-Rachford Splitting Method with Linearization for the Split Feasibility Problem
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DOI: 10.3390/sym14030537
Abstract: The aim of this article is to introduce the Douglas–Rachford splitting method with linearization to solve the split feasibility problem (SFP). Our proposed method includes two existing methods in work of Tang et al. and… read more here.
Keywords: split feasibility; method linearization; feasibility problem; splitting method ... See more keywords