Search results for "convergence"

Efficient High-Order Iterative Methods for Solving Nonlinear Systems and Their Application on Heat Conduction Problems

2017

[EN] For solving nonlinear systems of big size, such as those obtained by applying finite differences for approximating the solution of diffusion problem and heat conduction equations, three-step iterative methods with eighth-order local convergence are presented. The computational efficiency of the new methods is compared with those of some known ones, obtaining good conclusions, due to the particular structure of the iterative expression of the proposed methods. Numerical comparisons are made with the same existing methods, on standard nonlinear systems and a nonlinear one-dimensional heat conduction equation by transforming it in a nonlinear system by using finite differences. From these…

Patterns of successful media production

2016

While it has been acknowledged that convergence is a multidimensional phenomenon, the convergence of media production processes has received little attention from researchers so far. In this article, we address this research gap with a qualitative study of production processes in different types of media. Our starting point is that independent of the media type, common product characteristics can be identified, that promote success in the audience market. We ask whether the same is true for process characteristics; whether there are converged processes that promote audience success independent of the media type. The study is based on n = 39 interviews in the German-speaking markets. Our fi…

Poisson convergence on continuous time branching random walks and multistage carcinogenesis.

1982

A theorem for Poisson convergence on realizations of two-dimensional Branching Random Walks with an underlying continuous time Markov Branching Process is proved. This result can be used to gain an approximation for the number of cells having sustained a certain deficiency after a long time in multistage carcinogenesis.

Performance and convergence in municipal waste treatment in the European Union.

2019

This paper assesses performance and convergence in the treatment of municipal waste by the members of the European Union-27 (EU-27) during the period 1995-2016. First, a composite indicator of performance -including landfill, incineration, recycling, and composting and digestion as treatment operations- is computed with Data Envelopment Analysis and Multi-Criteria-Decision-Making techniques at country and year levels. Then, convergence is assessed using the techniques proposed by Phillips and Sul (2007, 2009) and, more recently, by Kong et al. (2017). The best performers are Central and Northern European countries such as Denmark, Austria and Germany, whereas the worst are some Eastern Euro…

EUROPEAN CONVERGENCE AND ITS IMPACT ON THE SOCIAL STRATEGY OF LATVIA

2014

The purpose of this study is to introduce evaluation of convergence policy activities in the European Union and to designate social development trends of Latvia in the context of reaching the goals of strategy “Europe 2020. The aim of the research has set the following tasks: to introduce the main EU social convergence theory investigations as the development challenges for improvement socio-economic well-being of the EU states; to evaluate current social situation and eventual social strategy of Latvia on 2014-2020; to estimate European convergence policy impact on the social development of Latvia. The strategic goals of EU policy are discussed as well as the development challenges for imp…

Robust adaptive algorithm with low computational cost

2006

An adaptive algorithm, which is robust to impulsive noise, is proposed. The cost function underlying this algorithm contains a parameter that controls the immunity to impulsive noise and can be easily adapted. Moreover, weight updating involves a nonlinear function, which recently has been shown to have an efficient hardware implementation. The proposed adaptive algorithm has been successfully tested in terms of accuracy and convergence on a system-identification simulation.

Distribution Dynamics and Nonlinear Growth

2003

Superconvergent Perturbation Theory, KAM Theorem (Introduction)

2001

Here we are dealing with an especially fast converging perturbation series, which is of particular importance for the proof of the KAM theorem (cf. below).

Numerical methods for nonlinear inverse problems

1996

AbstractInverse problems of distributed parameter systems with applications to optimal control and identification are considered. Numerical methods and their numerical analysis for solving this kind of inverse problems are presented, main emphasis being on the estimates of the rate of convergence for various schemes. Finally, based on the given error estimates, a two-grid method and related algorithms are introduced, which can be used to solve nonlinear inverse problems effectively.

A nonlinear Chaikin-based binary subdivision scheme

2019

Abstract In this work we introduce and analyze a new nonlinear subdivision scheme based on a nonlinear blending between Chaikin’s subdivision rules and the linear 3-cell subdivision scheme. Our scheme seeks to improve the lack of convergence in the uniform metric of the nonlinear scheme proposed in Amat et al. (2012), where the authors define a cell-average version of the PPH subdivision scheme (Amat et al., 2006). The properties of the new scheme are analyzed and its performance is illustrated through numerical examples.