Convergence analysis for second‐order accurate schemes for the periodic nonlocal Allen‐Cahn and Cahn‐Hilliard equations
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4497
Abstract: In this paper, we provide a detailed convergence analysis for fully discrete second-order (in both time and space) numerical schemes for nonlocal Allen-Cahn and nonlocal Cahn-Hilliard equations. The unconditional unique solvability and energy stability ensures… read more here.
Keywords: nonlocal allen; allen cahn; convergence analysis; cahn ... See more keywords
Unified Convergence Analysis of Numerical Schemes for a Miscible Displacement Problem
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DOI: 10.1007/s10208-018-9387-y
Abstract: This article performs a unified convergence analysis of a variety of numerical methods for a model of the miscible displacement of one incompressible fluid by another through a porous medium. The unified analysis is enabled… read more here.
Keywords: analysis; unified convergence; convergence analysis; miscible displacement ... See more keywords
ADMM for monotone operators: convergence analysis and rates
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DOI: 10.1007/s10444-018-9619-3
Abstract: We propose in this paper a unifying scheme for several algorithms from the literature dedicated to the solving of monotone inclusion problems involving compositions with linear continuous operators in infinite dimensional Hilbert spaces. We show… read more here.
Keywords: admm monotone; monotone operators; monotone; convergence analysis ... See more keywords
New convergence analysis of a primal-dual algorithm with large stepsizes
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DOI: 10.1007/s10444-020-09840-9
Abstract: We consider a primal-dual algorithm for minimizing f ( x ) + h □ l ( A x ) $f({\mathbf {x}})+h\square l({\mathbf {A}}{\mathbf {x}})$ with Fréchet differentiable f and l ∗ . This primal-dual algorithm… read more here.
Keywords: dual algorithm; algorithm; convergence analysis; primal dual ... See more keywords
A convergence analysis of the method of codifferential descent
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DOI: 10.1007/s10589-018-0024-0
Abstract: This paper is devoted to a detailed convergence analysis of the method of codifferential descent (MCD) developed by professor V.F. Demyanov for solving a large class of nonsmooth nonconvex optimization problems. We propose a generalization… read more here.
Keywords: method; convergence analysis; mcd; convergence ... See more keywords
New improved convergence analysis for Newton-like methods with applications
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DOI: 10.1007/s10910-016-0727-3
Abstract: We present a new semilocal convergence analysis for Newton-like methods using restricted convergence domains in a Banach space setting. The main goal of this study is to expand the applicability of these methods in cases… read more here.
Keywords: like methods; newton like; convergence analysis; analysis newton ... See more keywords
Convergence Analysis of Difference-of-Convex Algorithm with Subanalytic Data
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DOI: 10.1007/s10957-018-1345-y
Abstract: Difference-of-Convex programming and related algorithms, which constitute the backbone of nonconvex programming and global optimization, were introduced in 1985 by Pham Dinh Tao and have been extensively developed by Le Thi Hoai An and Pham… read more here.
Keywords: convergence analysis; difference convex; difference; subanalytic data ... See more keywords
Convergence Analysis of Spatial-Sampling-Based Algorithms for Time-Optimal Smooth Velocity Planning
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DOI: 10.1007/s10957-019-01626-4
Abstract: For a vehicle on an assigned path, we consider the problem of finding the time-optimal speed law that satisfies kinematic and dynamic constraints, related to maximum speed and maximum tangential and transversal acceleration. We show… read more here.
Keywords: time optimal; time; convergence analysis; spatial sampling ... See more keywords
Convergence analysis of a new algorithm for strongly pseudomontone equilibrium problems
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DOI: 10.1007/s11075-017-0350-9
Abstract: The paper introduces and analyzes the convergence of a new iterative algorithm for approximating solutions of equilibrium problems involving strongly pseudomonotone and Lipschitz-type bifunctions in Hilbert spaces. The algorithm uses a stepsize sequence which is… read more here.
Keywords: algorithm; convergence analysis; new algorithm; equilibrium problems ... See more keywords
Wavelet and Fourier augmented convergence analysis of methane emissions in more than two centuries: implications for environmental management in OECD countries
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DOI: 10.1007/s11356-022-19222-x
Abstract: Addressing the challenges posed by pollutants is necessary to achieve Sustainable Development Goal 13, which involves climate change mitigation and enhancement of environmental quality. The convergence analysis of a pollutant provides information that can be… read more here.
Keywords: environmental management; convergence; convergence analysis; methane emissions ... See more keywords
Convergence analysis for single point Newton-type iterative schemes
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-019-01273-y
Abstract: The aim of this article is to present a convergence analysis for single point Newton-type schemes for solving equations with Banach space valued operators. The equations contain a non-differentiable part. Although the convergence conditions are… read more here.
Keywords: analysis single; convergence analysis; single point; point newton ... See more keywords