Results 61 to 70 of about 17,865 (205)
In this note we show that a result previously obtained by us [An equivalence between the convergences of Ishikawa, Mann and Picard iterations, Math. Commun., 8, pp.~15--22, 2003], holds under weaker assumptions.
Ştefan M. Şoltuz
doaj +2 more sources
Mandelbrot and Julia Sets of Transcendental Functions Using Picard–Thakur Iteration
The majority of fractals’ dynamical behavior is determined by escape criteria, which utilize various iterative procedures. In the context of the Julia and Mandelbrot sets, the concept of “escape” is a fundamental principle used to determine whether a ...
Ashish Bhoria +2 more
doaj +1 more source
Strategies for online inference of model-based clustering in large and growing networks
In this paper we adapt online estimation strategies to perform model-based clustering on large networks. Our work focuses on two algorithms, the first based on the SAEM algorithm, and the second on variational methods.
Ambroise, Christophe +3 more
core +3 more sources
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
On Equivalence of Some Iterations Convergence for Quasi-Contraction Maps in Convex Metric Spaces
We show the equivalence of the convergence of Picard and Krasnoselskij, Mann, and Ishikawa iterations for the quasi-contraction mappings in convex metric spaces.
Rhoades BE, Xue Zhiqun, Lv Guiwen
doaj
Coupled Clustering in Hierarchical Matrices for the Oseen Problem
Fluid flow problems can be modelled by the Navier‐Stokes or, after linearization, by the Oseen equations. Their discretization results in linear systems in saddle point form which are typically very large and need to be solved iteratively. We propose a novel block structure for hierarchical matrices which is then used to build preconditioners for the ...
Jonas Grams, Sabine Le Borne
wiley +1 more source
This paper investigates linearization methods used in the development of an adaptive block hybrid method for solving first-order initial value problems.
Salma Ahmedai +3 more
doaj +1 more source
Numerical simulation of the heat conduction in composite materials
In this paper we develop and validate mathematical models and numerical algorithms for the heat transfer simulation in composite materials. The main features of the problem deal with the dependence of the heat source on the solution, discontinuous ...
Raimondas Čiegis +2 more
doaj +1 more source
ABSTRACT The ability of organisms to effectively respond to challenges is critical for survival. We investigated how an acute stressor affected corticosterone, mitochondrial function, and DNA oxidative damage in a wild population of Leach's storm‐petrels (Hydrobates leucorhous).
Kayla E. Lichtner +10 more
wiley +1 more source
Abstract Lung cancer is the leading cause of global cancer‐related morbidity and mortality, with tobacco smoking as its strongest risk factor. Nuclear factor erythroid 2‐related factor 2 (NRF2) is a redox‐regulated transcription factor frequently dysregulated in non‐small cell lung cancer (NSCLC), leading to aggressive disease and resistance to therapy.
Jouni Härkönen +14 more
wiley +1 more source

