Numerical precision of the solution to the running-coupling Balitsky-Kovchegov equation

We use the running coupling Balitsky-Kovchegov (rcBK) equation to study the rapidity dependence of saturation in inclusive HERA data and we discuss the behaviour of its numerical solution. The rcBK equation has been solved using Runge-Kutta methods. The influence of the parameters implicit in the nu...

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Main Authors: Matas Marek, Cepila Jan, Contreras Nuno Jesus Guillermo
Format: Article
Language:English
Published: EDP Sciences 2016-01-01
Series:EPJ Web of Conferences
Online Access:http://dx.doi.org/10.1051/epjconf/201611202008
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author Matas Marek
Cepila Jan
Contreras Nuno Jesus Guillermo
author_facet Matas Marek
Cepila Jan
Contreras Nuno Jesus Guillermo
author_sort Matas Marek
collection DOAJ
description We use the running coupling Balitsky-Kovchegov (rcBK) equation to study the rapidity dependence of saturation in inclusive HERA data and we discuss the behaviour of its numerical solution. The rcBK equation has been solved using Runge-Kutta methods. The influence of the parameters implicit in the numerical evolution has been studied. They include, among others, the order of the Runge-Kutta evolution, the size of the different grids and the step in the numerical evolution. Some suggestions on the minimum value of these parameters are put forward.
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spelling doaj.art-5f0867a50ae5463f9820da5cab6303452022-12-21T18:34:27ZengEDP SciencesEPJ Web of Conferences2100-014X2016-01-011120200810.1051/epjconf/201611202008epjconf_poetic2016_02008Numerical precision of the solution to the running-coupling Balitsky-Kovchegov equationMatas Marek0Cepila Jan1Contreras Nuno Jesus Guillermo2Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in PragueFaculty of Nuclear Sciences and Physical Engineering, Czech Technical University in PragueFaculty of Nuclear Sciences and Physical Engineering, Czech Technical University in PragueWe use the running coupling Balitsky-Kovchegov (rcBK) equation to study the rapidity dependence of saturation in inclusive HERA data and we discuss the behaviour of its numerical solution. The rcBK equation has been solved using Runge-Kutta methods. The influence of the parameters implicit in the numerical evolution has been studied. They include, among others, the order of the Runge-Kutta evolution, the size of the different grids and the step in the numerical evolution. Some suggestions on the minimum value of these parameters are put forward.http://dx.doi.org/10.1051/epjconf/201611202008
spellingShingle Matas Marek
Cepila Jan
Contreras Nuno Jesus Guillermo
Numerical precision of the solution to the running-coupling Balitsky-Kovchegov equation
EPJ Web of Conferences
title Numerical precision of the solution to the running-coupling Balitsky-Kovchegov equation
title_full Numerical precision of the solution to the running-coupling Balitsky-Kovchegov equation
title_fullStr Numerical precision of the solution to the running-coupling Balitsky-Kovchegov equation
title_full_unstemmed Numerical precision of the solution to the running-coupling Balitsky-Kovchegov equation
title_short Numerical precision of the solution to the running-coupling Balitsky-Kovchegov equation
title_sort numerical precision of the solution to the running coupling balitsky kovchegov equation
url http://dx.doi.org/10.1051/epjconf/201611202008
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AT contrerasnunojesusguillermo numericalprecisionofthesolutiontotherunningcouplingbalitskykovchegovequation