{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,1]],"date-time":"2025-11-01T01:23:31Z","timestamp":1761960211726,"version":"build-2065373602"},"reference-count":46,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T00:00:00Z","timestamp":1648771200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T00:00:00Z","timestamp":1648771200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2022,5,11]],"date-time":"2022-05-11T00:00:00Z","timestamp":1652227200000},"content-version":"vor","delay-in-days":40,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Astronomy and Computing"],"published-print":{"date-parts":[[2022,4]]},"DOI":"10.1016\/j.ascom.2022.100553","type":"journal-article","created":{"date-parts":[[2022,2,10]],"date-time":"2022-02-10T20:42:08Z","timestamp":1644525728000},"page":"100553","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Application of an Upwind integration method to plane parallel Hall-MHD"],"prefix":"10.1016","volume":"39","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2190-4303","authenticated-orcid":false,"given":"Georgios","family":"Chouliaras","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1659-1250","authenticated-orcid":false,"given":"K.N.","family":"Gourgouliatos","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/j.ascom.2022.100553_b1","doi-asserted-by":"crossref","first-page":"1025","DOI":"10.1093\/mnras\/204.4.1025","article-title":"Thermal origin of neutron star magnetic fields.","volume":"204","author":"Blandford","year":"1983","journal-title":"Mon. Not. Roy. Astron. Soc."},{"key":"10.1016\/j.ascom.2022.100553_b2","doi-asserted-by":"crossref","first-page":"57P","DOI":"10.1093\/mnras\/234.1.57P","article-title":"On the interpretation of pulsar braking indices.","volume":"234","author":"Blandford","year":"1988","journal-title":"Mon. Not. Roy. Astron. Soc."},{"issue":"1","key":"10.1016\/j.ascom.2022.100553_b3","doi-asserted-by":"crossref","first-page":"18","DOI":"10.3847\/1538-4357\/abad92","article-title":"Hall cascade with fractional magnetic helicity in neutron star crusts","volume":"901","author":"Brandenburg","year":"2020","journal-title":"Astrophys. J."},{"issue":"1","key":"10.1016\/j.ascom.2022.100553_b4","doi-asserted-by":"crossref","first-page":"236","DOI":"10.1088\/0004-637X\/701\/1\/236","article-title":"Simulations of electron magnetohydrodynamic turbulence","volume":"701","author":"Cho","year":"2009","journal-title":"Astrophys. J."},{"issue":"1","key":"10.1016\/j.ascom.2022.100553_b5","doi-asserted-by":"crossref","first-page":"961","DOI":"10.1093\/mnras\/stx2679","article-title":"Systematic study of magnetar outbursts","volume":"474","author":"Coti Zelati","year":"2018","journal-title":"Mon. Not. Roy. Astron. Soc."},{"issue":"3","key":"10.1016\/j.ascom.2022.100553_b6","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1002\/cpa.3160050303","article-title":"On the solution of nonlinear hyperbolic differential equations by finite differences","volume":"5","author":"Courant","year":"1952","journal-title":"Comm. Pure Appl. Math."},{"issue":"4","key":"10.1016\/j.ascom.2022.100553_b7","doi-asserted-by":"crossref","first-page":"1210","DOI":"10.1046\/j.1365-8711.2003.06908.x","article-title":"A numerical scheme for multifluid magnetohydrodynamics","volume":"344","author":"Falle","year":"2003","journal-title":"Mon. Not. Roy. Astron. Soc."},{"key":"10.1016\/j.ascom.2022.100553_b8","doi-asserted-by":"crossref","first-page":"250","DOI":"10.1086\/171646","article-title":"Magnetic field decay in isolated neutron stars","volume":"395","author":"Goldreich","year":"1992","journal-title":"Astrophys. J."},{"issue":"1\u20134","key":"10.1016\/j.ascom.2022.100553_b9","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1007\/s10509-007-9432-9","article-title":"Population statistics study of radio and gamma-ray pulsars in the galactic plane","volume":"309","author":"Gonthier","year":"2007","journal-title":"Astrophys. Space Sci."},{"issue":"17","key":"10.1016\/j.ascom.2022.100553_b10","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.112.171101","article-title":"Hall attractor in axially symmetric magnetic fields in neutron star crusts","volume":"112","author":"Gourgouliatos","year":"2014","journal-title":"Phys. Rev. Lett."},{"issue":"2","key":"10.1016\/j.ascom.2022.100553_b11","doi-asserted-by":"crossref","first-page":"1618","DOI":"10.1093\/mnras\/stt2300","article-title":"Hall effect in neutron star crusts: evolution, endpoint and dependence on initial conditions","volume":"438","author":"Gourgouliatos","year":"2014","journal-title":"Mon. Not. Roy. Astron. Soc."},{"issue":"1","key":"10.1016\/j.ascom.2022.100553_b12","doi-asserted-by":"crossref","first-page":"1121","DOI":"10.1093\/mnras\/stu2140","article-title":"Hall drift and the braking indices of young pulsars","volume":"446","author":"Gourgouliatos","year":"2015","journal-title":"Mon. Not. Roy. Astron. Soc."},{"issue":"3","key":"10.1016\/j.ascom.2022.100553_b13","doi-asserted-by":"crossref","first-page":"3381","DOI":"10.1093\/mnras\/stw2309","article-title":"Resistive tearing instability in electron MHD: application to neutron star crusts","volume":"463","author":"Gourgouliatos","year":"2016","journal-title":"Mon. Not. Roy. Astron. Soc."},{"issue":"1","key":"10.1016\/j.ascom.2022.100553_b14","doi-asserted-by":"crossref","first-page":"L93","DOI":"10.1093\/mnrasl\/slv106","article-title":"Magnetar activity via the density-shear instability in Hall-MHD","volume":"453","author":"Gourgouliatos","year":"2015","journal-title":"Mon. Not. Roy. Astron. Soc."},{"issue":"15","key":"10.1016\/j.ascom.2022.100553_b15","doi-asserted-by":"crossref","first-page":"3944","DOI":"10.1073\/pnas.1522363113","article-title":"Magnetic field evolution in magnetar crusts through three-dimensional simulations","volume":"113","author":"Gourgouliatos","year":"2016","journal-title":"Proc. Natl. Acad. Sci."},{"issue":"3","key":"10.1016\/j.ascom.2022.100553_b16","doi-asserted-by":"crossref","first-page":"1891","DOI":"10.1093\/mnras\/stu1253","article-title":"Population synthesis of isolated neutron stars with magneto-rotational evolution","volume":"443","author":"Gull\u00f3n","year":"2014","journal-title":"Mon. Not. Roy. Astron. Soc."},{"issue":"1","key":"10.1016\/j.ascom.2022.100553_b17","first-page":"133","article-title":"Ohmic decay of internal magnetic fields in neutron stars","volume":"229","author":"Haensel","year":"1990","journal-title":"Astron. Astrophys."},{"issue":"1","key":"10.1016\/j.ascom.2022.100553_b18","doi-asserted-by":"crossref","first-page":"216","DOI":"10.1046\/j.1365-8711.2002.05905.x","article-title":"The influence of Hall drift on the magnetic fields of neutron stars","volume":"337","author":"Hollerbach","year":"2002","journal-title":"Mon. Not. Roy. Astron. Soc."},{"issue":"4","key":"10.1016\/j.ascom.2022.100553_b19","doi-asserted-by":"crossref","first-page":"1273","DOI":"10.1111\/j.1365-2966.2004.07307.x","article-title":"Hall drift in the stratified crusts of neutron stars","volume":"347","author":"Hollerbach","year":"2004","journal-title":"Mon. Not. Roy. Astron. Soc."},{"issue":"8\u20139","key":"10.1016\/j.ascom.2022.100553_b20","doi-asserted-by":"crossref","first-page":"831","DOI":"10.1002\/asna.201512232","article-title":"Magnetic field decay in normal radio pulsars","volume":"336","author":"Igoshev","year":"2015","journal-title":"Astron. Nachr."},{"issue":"2","key":"10.1016\/j.ascom.2022.100553_b21","doi-asserted-by":"crossref","first-page":"2826","DOI":"10.1093\/mnras\/staa3070","article-title":"Braking indices of young radio pulsars: theoretical perspective","volume":"499","author":"Igoshev","year":"2020","journal-title":"Mon. Not. Roy. Astron. Soc."},{"issue":"3","key":"10.1016\/j.ascom.2022.100553_b22","doi-asserted-by":"crossref","first-page":"3493","DOI":"10.1093\/mnras\/stx377","article-title":"Pulsar braking and the P-dot{p} diagram","volume":"467","author":"Johnston","year":"2017","journal-title":"Mon. Not. Roy. Astron. Soc."},{"key":"10.1016\/j.ascom.2022.100553_b23","doi-asserted-by":"crossref","first-page":"875","DOI":"10.1093\/mnras\/233.4.875","article-title":"Neutron star magnetic field decay - hall drift and ohmic diffusion","volume":"233","author":"Jones","year":"1988","journal-title":"Mon. Not. Roy. Astron. Soc."},{"issue":"1","key":"10.1016\/j.ascom.2022.100553_b24","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1146\/annurev-astro-081915-023329","article-title":"Magnetars","volume":"55","author":"Kaspi","year":"2017","journal-title":"Ann. Rev. Astron. Astroph."},{"issue":"9","key":"10.1016\/j.ascom.2022.100553_b25","doi-asserted-by":"crossref","first-page":"624","DOI":"10.1134\/S1063773717090043","article-title":"Double Hall instability: A catalyzer of magnetic energy release","volume":"43","author":"Kitchatinov","year":"2017","journal-title":"Astron. Lett."},{"issue":"6","key":"10.1016\/j.ascom.2022.100553_b26","doi-asserted-by":"crossref","first-page":"475","DOI":"10.1002\/asna.201913644","article-title":"Stability of a force-free hall equilibrium and release of magnetic energy","volume":"340","author":"Kitchatinov","year":"2019","journal-title":"Astron. Nachr."},{"issue":"2","key":"10.1016\/j.ascom.2022.100553_b27","doi-asserted-by":"crossref","first-page":"L151","DOI":"10.1086\/312118","article-title":"Unusual burst emission from the new soft Gamma repeater SGR 1627-41","volume":"519","author":"Mazets","year":"1999","journal-title":"Astrophys. J. Lett."},{"year":"1980","series-title":"Numerical Heat Transfer and Fluid Flow","author":"Patankar","key":"10.1016\/j.ascom.2022.100553_b28"},{"issue":"1","key":"10.1016\/j.ascom.2022.100553_b29","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1051\/0004-6361:20077456","article-title":"Magnetic field dissipation in neutron star crusts: from magnetars to isolated neutron stars","volume":"470","author":"Pons","year":"2007","journal-title":"Astron. Astrophys."},{"issue":"7","key":"10.1016\/j.ascom.2022.100553_b30","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.98.071101","article-title":"Evidence for heating of neutron stars by magnetic-field decay","volume":"98","author":"Pons","year":"2007","journal-title":"Phys. Rev. Lett."},{"issue":"1","key":"10.1016\/j.ascom.2022.100553_b31","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1051\/0004-6361:200811229","article-title":"Magneto-thermal evolution of neutron stars","volume":"496","author":"Pons","year":"2009","journal-title":"Astron. Astrophys."},{"issue":"1","key":"10.1016\/j.ascom.2022.100553_b32","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/s41115-019-0006-7","article-title":"Magnetic, thermal and rotational evolution of isolated neutron stars","volume":"5","author":"Pons","year":"2019","journal-title":"Living Rev. Comput. Astrophys."},{"issue":"8\u20139","key":"10.1016\/j.ascom.2022.100553_b33","doi-asserted-by":"crossref","first-page":"861","DOI":"10.1002\/asna.201512238","article-title":"Magneto-rotational and thermal evolution of young neutron stars","volume":"336","author":"Popov","year":"2015","journal-title":"Astron. Nachr."},{"key":"10.1016\/j.ascom.2022.100553_b34","first-page":"685","article-title":"The hall effect and the decay of magnetic fields.","volume":"321","author":"Shalybkov","year":"1997","journal-title":"Astron. Astrophys."},{"issue":"11","key":"10.1016\/j.ascom.2022.100553_b35","doi-asserted-by":"crossref","DOI":"10.1088\/0034-4885\/78\/11\/116901","article-title":"Magnetars: the physics behind observations. a review","volume":"78","author":"Turolla","year":"2015","journal-title":"Rep. Prog. Phys."},{"issue":"4","key":"10.1016\/j.ascom.2022.100553_b36","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1080\/10556799408205380","article-title":"Magnetorotational evolution of isolated neutron stars","volume":"4","author":"Urpin","year":"1994","journal-title":"Astron. Astrophys. Trans."},{"issue":"1","key":"10.1016\/j.ascom.2022.100553_b37","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1093\/mnras\/292.1.167","article-title":"Magnetic and spin evolution of isolated neutron stars with the crustal magnetic field","volume":"292","author":"Urpin","year":"1997","journal-title":"Mon. Not. Roy. Astron. Soc."},{"issue":"4","key":"10.1016\/j.ascom.2022.100553_b38","doi-asserted-by":"crossref","first-page":"4422","DOI":"10.1103\/PhysRevE.61.4422","article-title":"Rapid dissipation of magnetic fields due to the hall current","volume":"61","author":"Vainshtein","year":"2000","journal-title":"Phys. Rev. E."},{"key":"10.1016\/j.ascom.2022.100553_b39","doi-asserted-by":"crossref","first-page":"168","DOI":"10.1016\/j.cpc.2018.11.022","article-title":"A simflowny-based high-performance 3D code for the generalized induction equation","volume":"237","author":"Vigan\u00f2","year":"2019","journal-title":"Comput. Phys. Comm."},{"issue":"10","key":"10.1016\/j.ascom.2022.100553_b40","doi-asserted-by":"crossref","first-page":"2042","DOI":"10.1016\/j.cpc.2012.04.029","article-title":"A new code for the Hall-driven magnetic evolution of neutron stars","volume":"183","author":"Vigan\u00f2","year":"2012","journal-title":"Comput. Phys. Comm."},{"issue":"1","key":"10.1016\/j.ascom.2022.100553_b41","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1093\/mnras\/stt1008","article-title":"Unifying the observational diversity of isolated neutron stars via magneto-thermal evolution models","volume":"434","author":"Vigan\u00f2","year":"2013","journal-title":"Mon. Not. Roy. Astron. Soc."},{"issue":"3","key":"10.1016\/j.ascom.2022.100553_b42","doi-asserted-by":"crossref","first-page":"L39","DOI":"10.1051\/0004-6361\/200913452","article-title":"Hall cascades versus instabilities in neutron star magnetic fields","volume":"508","author":"Wareing","year":"2009","journal-title":"Astron. Astrophys."},{"issue":"1","key":"10.1016\/j.ascom.2022.100553_b43","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1017\/S0022377809990158","article-title":"Cascades in decaying three-dimensional electron magnetohydrodynamic turbulence","volume":"76","author":"Wareing","year":"2010","journal-title":"J. Plasma Phys."},{"issue":"1","key":"10.1016\/j.ascom.2022.100553_b44","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1017\/S0022377809990158","article-title":"Cascades in decaying three-dimensional electron magnetohydrodynamic turbulence","volume":"76","author":"Wareing","year":"2010","journal-title":"J. Plasma Phys."},{"issue":"19","key":"10.1016\/j.ascom.2022.100553_b45","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.114.191101","article-title":"Three dimensional simulation of the magnetic stress in a neutron star crust","volume":"114","author":"Wood","year":"2015","journal-title":"Phys. Rev. Lett."},{"key":"10.1016\/j.ascom.2022.100553_b46","series-title":"Pulsar Astrophysics the Next Fifty Years","first-page":"326","article-title":"Systematic study of magnetar outbursts","volume":"337","author":"Zelati","year":"2018"}],"container-title":["Astronomy and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S2213133722000051?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S2213133722000051?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2025,11,1]],"date-time":"2025-11-01T01:21:11Z","timestamp":1761960071000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S2213133722000051"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,4]]},"references-count":46,"alternative-id":["S2213133722000051"],"URL":"https:\/\/doi.org\/10.1016\/j.ascom.2022.100553","relation":{},"ISSN":["2213-1337"],"issn-type":[{"type":"print","value":"2213-1337"}],"subject":[],"published":{"date-parts":[[2022,4]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Application of an Upwind integration method to plane parallel Hall-MHD","name":"articletitle","label":"Article Title"},{"value":"Astronomy and Computing","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.ascom.2022.100553","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2022 The Authors. Published by Elsevier B.V.","name":"copyright","label":"Copyright"}],"article-number":"100553"}}