{"id":"https://openalex.org/W7140208443","doi":"https://doi.org/10.1016/j.jcp.2026.114885","title":"Zeta expansion for long-range interactions under periodic boundary conditions with applications to micromagnetics","display_name":"Zeta expansion for long-range interactions under periodic boundary conditions with applications to micromagnetics","publication_year":2026,"publication_date":"2026-03-24","ids":{"openalex":"https://openalex.org/W7140208443","doi":"https://doi.org/10.1016/j.jcp.2026.114885"},"language":"en","primary_location":{"id":"doi:10.1016/j.jcp.2026.114885","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jcp.2026.114885","pdf_url":null,"source":{"id":"https://openalex.org/S148709879","display_name":"Journal of Computational Physics","issn_l":"0021-9991","issn":["0021-9991","1090-2716"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Physics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.jcp.2026.114885","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Andreas Alexander Buchheit","orcid":"https://orcid.org/0000-0003-4004-713X"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]},{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["CH","DE"],"is_corresponding":true,"raw_author_name":"Andreas Alexander Buchheit","raw_affiliation_strings":["Department of Mathematics, ETH Z\u00fcrich, R\u00e4mistrasse 101, Z\u00fcrich, 8092, Switzerland","Department of Mathematics, Saarland University, Campus E1.1, Saarbr\u00fccken, 66123, Saarland, Germany"],"raw_orcid":"https://orcid.org/0000-0003-4004-713X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, ETH Z\u00fcrich, R\u00e4mistrasse 101, Z\u00fcrich, 8092, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"Department of Mathematics, Saarland University, Campus E1.1, Saarbr\u00fccken, 66123, Saarland, Germany","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jonathan Kaspar Busse","orcid":"https://orcid.org/0009-0001-3323-3455"},"institutions":[{"id":"https://openalex.org/I2898391981","display_name":"Deutsches Zentrum f\u00fcr Luft- und Raumfahrt e. V. (DLR)","ror":"https://ror.org/04bwf3e34","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I2898391981"]},{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Jonathan Kaspar Busse","raw_affiliation_strings":["Department of Mathematics, Saarland University, Campus E1.1, Saarbr\u00fccken, 66123, Saarland, Germany","Institute of Software Technology, High-Performance Computing Department, German Aerospace Center (DLR), Linder H\u00f6he, Cologne, 51147, North Rhine-Westphalia, Germany"],"raw_orcid":"https://orcid.org/0009-0001-3323-3455","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Saarland University, Campus E1.1, Saarbr\u00fccken, 66123, Saarland, Germany","institution_ids":["https://openalex.org/I91712215"]},{"raw_affiliation_string":"Institute of Software Technology, High-Performance Computing Department, German Aerospace Center (DLR), Linder H\u00f6he, Cologne, 51147, North Rhine-Westphalia, Germany","institution_ids":["https://openalex.org/I2898391981"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Torsten Ke\u00dfler","orcid":"https://orcid.org/0000-0003-2530-6746"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Torsten Ke\u00dfler","raw_affiliation_strings":["Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, 5600 MB, Netherlands"],"raw_orcid":"https://orcid.org/0000-0003-2530-6746","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, 5600 MB, Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"last","author":{"id":null,"display_name":"Filipp N. Rybakov","orcid":"https://orcid.org/0000-0002-3577-7966"},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Filipp N. Rybakov","raw_affiliation_strings":["Department of Physics and Astronomy, Uppsala University, Uppsala, SE-751 20, Sweden"],"raw_orcid":"https://orcid.org/0000-0002-3577-7966","affiliations":[{"raw_affiliation_string":"Department of Physics and Astronomy, Uppsala University, Uppsala, SE-751 20, Sweden","institution_ids":["https://openalex.org/I123387679"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I123387679","https://openalex.org/I2898391981","https://openalex.org/I35440088","https://openalex.org/I83019370","https://openalex.org/I91712215"],"apc_list":{"value":3750,"currency":"USD","value_usd":3750},"apc_paid":{"value":3750,"currency":"USD","value_usd":3750},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.5464178,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"559","issue":null,"first_page":"114885","last_page":"114885"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11887","display_name":"Quasicrystal Structures and Properties","score":0.3433000147342682,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11887","display_name":"Quasicrystal Structures and Properties","score":0.3433000147342682,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10657","display_name":"Topological Materials and Phenomena","score":0.10649999976158142,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10049","display_name":"Magnetic properties of thin films","score":0.10520000010728836,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/micromagnetics","display_name":"Micromagnetics","score":0.6554999947547913},{"id":"https://openalex.org/keywords/bessel-function","display_name":"Bessel function","score":0.6180999875068665},{"id":"https://openalex.org/keywords/periodic-boundary-conditions","display_name":"Periodic boundary conditions","score":0.5717999935150146},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5597000122070312},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4099000096321106},{"id":"https://openalex.org/keywords/asymptotic-expansion","display_name":"Asymptotic expansion","score":0.38040000200271606},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.34470000863075256},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.3416000008583069},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.32190001010894775}],"concepts":[{"id":"https://openalex.org/C119835096","wikidata":"https://www.wikidata.org/wiki/Q6839648","display_name":"Micromagnetics","level":4,"score":0.6554999947547913},{"id":"https://openalex.org/C107706756","wikidata":"https://www.wikidata.org/wiki/Q219637","display_name":"Bessel function","level":2,"score":0.6180999875068665},{"id":"https://openalex.org/C112675119","wikidata":"https://www.wikidata.org/wiki/Q2992284","display_name":"Periodic boundary conditions","level":3,"score":0.5717999935150146},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5597000122070312},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5296000242233276},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5230000019073486},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4099000096321106},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40639999508857727},{"id":"https://openalex.org/C11683690","wikidata":"https://www.wikidata.org/wiki/Q752726","display_name":"Asymptotic expansion","level":2,"score":0.38040000200271606},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.36230000853538513},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.34869998693466187},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.34470000863075256},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.3416000008583069},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.32190001010894775},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.3190999925136566},{"id":"https://openalex.org/C28843909","wikidata":"https://www.wikidata.org/wiki/Q177625","display_name":"Electromagnetic field","level":2,"score":0.3158999979496002},{"id":"https://openalex.org/C32546565","wikidata":"https://www.wikidata.org/wiki/Q856711","display_name":"Magnetization","level":3,"score":0.3118000030517578},{"id":"https://openalex.org/C206844423","wikidata":"https://www.wikidata.org/wiki/Q5157313","display_name":"Computational electromagnetics","level":3,"score":0.3025999963283539},{"id":"https://openalex.org/C173523689","wikidata":"https://www.wikidata.org/wiki/Q215589","display_name":"Dipole","level":2,"score":0.3018999993801117},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.29260000586509705},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.28519999980926514},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.2831999957561493},{"id":"https://openalex.org/C203833618","wikidata":"https://www.wikidata.org/wiki/Q865788","display_name":"Bravais lattice","level":3,"score":0.28060001134872437},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.27790001034736633},{"id":"https://openalex.org/C186080144","wikidata":"https://www.wikidata.org/wiki/Q358733","display_name":"Series expansion","level":2,"score":0.2750999927520752},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.25290000438690186}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/j.jcp.2026.114885","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jcp.2026.114885","pdf_url":null,"source":{"id":"https://openalex.org/S148709879","display_name":"Journal of Computational Physics","issn_l":"0021-9991","issn":["0021-9991","1090-2716"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Physics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2509.26274","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2509.26274","pdf_url":"https://arxiv.org/pdf/2509.26274","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:doi:10.3929/ethz-c-000798976","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11850/798976","pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"},{"id":"pmh:oai:DiVA.org:uu-585274","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-585274","pdf_url":null,"source":{"id":"https://openalex.org/S4306402043","display_name":"Uppsala University Publications (Uppsala University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I123387679","host_organization_name":"Uppsala University","host_organization_lineage":["https://openalex.org/I123387679"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"doi:10.1016/j.jcp.2026.114885","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jcp.2026.114885","pdf_url":null,"source":{"id":"https://openalex.org/S148709879","display_name":"Journal of Computational Physics","issn_l":"0021-9991","issn":["0021-9991","1090-2716"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Physics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7958455085754395}],"awards":[],"funders":[{"id":"https://openalex.org/F4320324316","display_name":"Klaus Tschira Stiftung","ror":"https://ror.org/052jep661"},{"id":"https://openalex.org/F4320338438","display_name":"HORIZON EUROPE Marie Sklodowska-Curie Actions","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W1930431862","https://openalex.org/W1964266237","https://openalex.org/W1968376936","https://openalex.org/W1975325479","https://openalex.org/W1976986637","https://openalex.org/W1983893987","https://openalex.org/W2001446637","https://openalex.org/W2001676859","https://openalex.org/W2007491828","https://openalex.org/W2008135186","https://openalex.org/W2030303987","https://openalex.org/W2031472178","https://openalex.org/W2041849155","https://openalex.org/W2056499413","https://openalex.org/W2060046398","https://openalex.org/W2069883496","https://openalex.org/W2070143144","https://openalex.org/W2070635738","https://openalex.org/W2085339746","https://openalex.org/W2099765952","https://openalex.org/W2119855093","https://openalex.org/W2122939461","https://openalex.org/W2125918489","https://openalex.org/W2132820941","https://openalex.org/W2142805504","https://openalex.org/W2155153626","https://openalex.org/W2155305863","https://openalex.org/W2468319936","https://openalex.org/W2769328923","https://openalex.org/W2783169789","https://openalex.org/W2805008137","https://openalex.org/W2944133814","https://openalex.org/W3036667467","https://openalex.org/W3047257168","https://openalex.org/W4206779915","https://openalex.org/W4206809611","https://openalex.org/W4251238338","https://openalex.org/W4283204874","https://openalex.org/W4308264592","https://openalex.org/W4385256127","https://openalex.org/W4387808841","https://openalex.org/W4391134653","https://openalex.org/W4396882151","https://openalex.org/W4402197410","https://openalex.org/W4403128077","https://openalex.org/W4406015539","https://openalex.org/W4406213752","https://openalex.org/W4407020290","https://openalex.org/W4408789398","https://openalex.org/W4410497523","https://openalex.org/W4413909033","https://openalex.org/W4417210837"],"related_works":[],"abstract_inverted_index":{"We":[0,62,104,185],"address":[1],"the":[2,48,69,107,113,135,217,221],"efficient":[3],"computation":[4],"of":[5,9,20,57,100,127,220],"power-law-based":[6],"interaction":[7],"potentials":[8,81,201],"homogeneous":[10],"d":[11],"-dimensional":[12,18],"bodies":[13],"with":[14,34,202,246],"an":[15],"infinite":[16,50,71],"n":[17],"array":[19],"copies,":[21],"including":[22],"their":[23,147],"higher-order":[24],"derivatives.":[25],"This":[26],"problem":[27],"forms":[28],"a":[29,54,87,92,120,142,234],"serious":[30],"challenge":[31],"in":[32,112,174,249],"micromagnetics":[33],"periodic":[35],"boundary":[36],"conditions":[37],"and":[38,77,164,195,224],"related":[39,165],"fields.":[40],"Nowadays,":[41],"it":[42],"is":[43],"common":[44],"practice":[45],"to":[46,53,133,171,216],"truncate":[47],"associated":[49],"lattice":[51],"sum":[52,72,90],"finite":[55],"number":[56],"images,":[58],"introducing":[59],"uncontrolled":[60],"errors.":[61],"show":[63,105],"that,":[64],"for":[65,73,146,152,192,199,237],"general":[66],"interacting":[67],"geometries,":[68],"exact":[70],"both":[74],"dipolar":[75],"interactions":[76,194],"generalized":[78,101,136],"Riesz":[79,200],"power-law":[80],"can":[82,167,230],"be":[83,169,231],"obtained":[84],"by":[85,91],"complementing":[86],"small":[88],"direct":[89,197,247],"correction":[93],"term":[94],"that":[95,106,126,229],"involves":[96],"efficiently":[97],"computable":[98],"derivatives":[99],"zeta":[102,137],"functions.":[103,161],"resulting":[108],"representation":[109],"converges":[110],"exponentially":[111],"derivative":[114],"order,":[115],"reaching":[116],"machine":[117,172],"precision":[118,173],"at":[119],"computational":[121],"cost":[122],"no":[123],"greater":[124],"than":[125],"truncated":[128],"summation":[129,198],"schemes.":[130],"In":[131,210],"order":[132],"compute":[134],"functions":[138],"efficiently,":[139],"we":[140,212],"provide":[141],"superexponentially":[143],"convergent":[144],"algorithm":[145],"evaluation,":[148],"as":[149,151,158,233,253],"well":[150],"all":[153],"required":[154],"special":[155],"functions,":[156],"such":[157,252],"incomplete":[159],"Bessel":[160],"Magnetic":[162],"fields":[163],"quantities":[166],"thus":[168],"evaluated":[170],"arbitrary":[175],"cuboidal":[176],"domains":[177],"periodically":[178],"extended":[179],"along":[180],"one":[181],"or":[182],"two":[183],"dimensions.":[184],"benchmark":[186,227],"our":[187],"method":[188],"against":[189,196],"known":[190],"formulas":[191],"magnetic":[193],"sufficiently":[203],"large":[204],"exponents,":[205],"consistently":[206],"achieving":[207],"full":[208],"precision.":[209],"addition,":[211],"identify":[213],"new":[214],"corrections":[215],"asymptotic":[218],"limit":[219],"demagnetization":[222],"field":[223],"tabulate":[225],"high-precision":[226],"values":[228],"used":[232],"reliable":[235],"reference":[236],"micromagnetic":[238],"solvers.":[239],"The":[240],"techniques":[241],"developed":[242],"are":[243],"broadly":[244],"applicable,":[245],"impact":[248],"other":[250],"areas":[251],"molecular":[254],"dynamics.":[255]},"counts_by_year":[],"updated_date":"2026-05-08T15:41:06.802602","created_date":"2025-12-12T00:00:00"}
