<resource xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://datacite.org/schema/kernel-4" xsi:schemaLocation="http://datacite.org/schema/kernel-4 http://schema.datacite.org/meta/kernel-4.1/metadata.xsd"><identifier identifierType="DOI">10.60507/FK2/GKCIJK</identifier><creators><creator><creatorName nameType="Personal">Demattè, Elena</creatorName><givenName>Elena</givenName><familyName>Demattè</familyName><nameIdentifier SchemeURI="https://orcid.org/" nameIdentifierScheme="ORCID">0000-0001-6054-1050</nameIdentifier><affiliation>University of Bonn</affiliation></creator><creator><creatorName nameType="Personal">Velázquez, Juan J. L.</creatorName><givenName>Juan J. L.</givenName><familyName>Velázquez</familyName><affiliation>University of Bonn</affiliation></creator></creators><titles><title>Numerical simulation for a one-dimensional radiative transfer equation</title></titles><publisher>bonndata</publisher><publicationYear>2025</publicationYear><subjects><subject>Mathematical Sciences</subject></subjects><contributors><contributor contributorType="ContactPerson"><contributorName nameType="Personal">Demattè, Elena</contributorName><givenName>Elena</givenName><familyName>Demattè</familyName><affiliation>University of Bonn</affiliation></contributor></contributors><dates><date dateType="Submitted">2025-07-31</date><date dateType="Updated">2025-07-31</date></dates><resourceType resourceTypeGeneral="Dataset"/><relatedIdentifiers/><sizes><size>1095</size><size>63751</size><size>213669</size><size>1925</size></sizes><formats><format>text/plain</format><format>image/png</format><format>application/pdf</format><format>text/x-python</format></formats><version>1.0</version><rightsList><rights rightsURI="info:eu-repo/semantics/openAccess"/><rights rightsURI="https://mit-license.org/">MIT</rights></rightsList><descriptions><description descriptionType="Abstract">This numerical simulation has been developed for the diffusion approximation of a one-dimensional stationary radiative transfer equation. Specifically, as the mean free path of the photons tends to zero this simulation depicts the formation of boundary layers and the fact that at the interior of the domain the radiation intensity becomes isotropic solving a Laplace equation. This numerical simulation supports the results obtained analyzing the radiative transfer equation via matched asymptotic expansions.</description></descriptions><geoLocations/><fundingReferences><fundingReference><funderName>DFG, German Research Foundation</funderName><awardNumber>211504053</awardNumber></fundingReference><fundingReference><funderName>DFG, German Research Foundation</funderName><awardNumber>390685813</awardNumber></fundingReference></fundingReferences></resource>