On the convergence rates for the three‐dimensional filtered Boussinesq equations
Sign Up to like & getrecommendations! Published in 2021 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201900157
Abstract: In this paper we consider a LES model for the approximation of large scales of the 3D Boussinesq equations. We analyze the convergence rate, in appropriate norms, of the unique regular weak solution of the… read more here.
Keywords: convergence; three dimensional; dimensional filtered; boussinesq equations ... See more keywords
An adaptive least-squares FEM for the Stokes equations with optimal convergence rates
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DOI: 10.1007/s00211-016-0806-1
Abstract: This paper introduces the first adaptive least-squares finite element method (LS-FEM) for the Stokes equations with optimal convergence rates based on the newest vertex bisection with lowest-order Raviart-Thomas and conforming $$P_1$$P1 discrete spaces for the… read more here.
Keywords: adaptive least; least squares; optimal convergence; stokes equations ... See more keywords
Convergence Rates of First- and Higher-Order Dynamics for Solving Linear Ill-Posed Problems
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DOI: 10.1007/s10208-021-09536-6
Abstract: Recently, there has been a great interest in analysing dynamical flows, where the stationary limit is the minimiser of a convex energy. Particular flows of great interest have been continuous limits of Nesterov’s algorithm and… read more here.
Keywords: ill posed; convergence rates; posed problems; linear ill ... See more keywords
Convergence rates analysis of a multiobjective proximal gradient method
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DOI: 10.1007/s11590-022-01877-7
Abstract: In 2019, Tanabe et al. proposed proximal gradient methods for multiobjective optimization. Under reasonable assumptions, they proved that the accumulation points of the sequences generated by these methods are Pareto stationary. However, the convergence rates… read more here.
Keywords: optimization; convergence rates; proximal gradient; multiobjective proximal ... See more keywords
Strong convergence rates in averaging principle for slow-fast McKean-Vlasov SPDEs
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2022.01.039
Abstract: In this paper, we aim to study the asymptotic behaviour for a class of McKean-Vlasov stochastic partial differential equations with slow and fast time-scales. Using the variational approach and classical Khasminskii time discretization, we show… read more here.
Keywords: vlasov; slow fast; mckean vlasov; convergence rates ... See more keywords
Linear convergence rates for extrapolated fixed point algorithms
Sign Up to like & getrecommendations! Published in 2018 at "Optimization"
DOI: 10.1080/02331934.2018.1512109
Abstract: ABSTRACT We establish linear convergence rates for a certain class of extrapolated fixed point algorithms which are based on dynamic string-averaging methods in a real Hilbert space. This applies, in particular, to the extrapolated simultaneous… read more here.
Keywords: extrapolated fixed; linear convergence; convergence rates; point algorithms ... See more keywords
Convergence rates in the law of large numbers for END linear processes with random coefficients
Sign Up to like & getrecommendations! Published in 2018 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2018.1530790
Abstract: Abstract In this paper, we consider convergence rates in the Marcinkiewicz–Zygmund law of the large numbers for the END linear processes with random coefficients. We extend some results of Baum and Katz (1965) to the… read more here.
Keywords: law large; large numbers; random coefficients; processes random ... See more keywords
Uniform convergence rates and automatic variable selection in nonparametric regression with functional and categorical covariates
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Nonparametric Statistics"
DOI: 10.1080/10485252.2023.2207673
Abstract: In Selk and Gertheiss (2022) a nonparametric prediction method for models with multiple functional and categorical covariates is introduced. The dependent variable can be categorical (binary or multi-class) or continuous, thus both classification and regression… read more here.
Keywords: regression; convergence rates; uniform convergence; categorical covariates ... See more keywords
Convergence rates for regularization functionals with polyconvex integrands
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DOI: 10.1088/1361-6420/aa7a1e
Abstract: Convergence rates results for variational regularization methods typically assume the regularization functional to be convex. While this assumption is natural for scalar-valued functions, it can be unnecessarily strong for vector-valued ones. In this paper we… read more here.
Keywords: functionals polyconvex; regularization functionals; rates regularization; polyconvex integrands ... See more keywords
On Convergence Rates for Homogeneous Markov Chains
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DOI: 10.1134/s1064562420010081
Abstract: Abstract New improved rates of convergence for ergodic homogeneous Markov chains are studied. Examples of comparison with classical rate bounds are provided. read more here.
Keywords: markov chains; convergence rates; homogeneous markov; rates homogeneous ... See more keywords
Verification of Convergence Rates of Numerical Solutions for Parabolic Equations
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DOI: 10.1155/2019/8152136
Abstract: In this paper, we propose a verification method for the convergence rates of the numerical solutions for parabolic equations. Specifically, we consider the numerical convergence rates of the heat equation, the Allen–Cahn equation, and the… read more here.
Keywords: order; numerical solutions; rates numerical; solutions parabolic ... See more keywords