{"id":"https://openalex.org/W7212066997","doi":"https://doi.org/10.48550/arxiv.2609.05939","title":"A structure-preserving implicit-explicit method for a hyperbolic approximation of fourth-order PDEs","display_name":"A structure-preserving implicit-explicit method for a hyperbolic approximation of fourth-order PDEs","publication_year":2026,"publication_date":"2026-09-05","ids":{"openalex":"https://openalex.org/W7212066997","doi":"https://doi.org/10.48550/arxiv.2609.05939"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.05939","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.05939","pdf_url":"https://arxiv.org/pdf/2609.05939","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.05939","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034647696","display_name":"Rahul Barthwal","orcid":"https://orcid.org/0000-0002-5245-072X","observed_orcids":["https://orcid.org/0000-0002-5245-072X"]},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Barthwal, Rahul","raw_affiliation_strings":["Institute of Applied Analysis and Numerical Simulation , University of Stuttgart , Pfaffenwaldring 57 , 70569 Stuttgart , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Applied Analysis and Numerical Simulation , University of Stuttgart , Pfaffenwaldring 57 , 70569 Stuttgart , Germany","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087347130","display_name":"Rahuldev Ghorai","orcid":"https://orcid.org/0000-0003-0549-3417","observed_orcids":["https://orcid.org/0000-0003-0549-3417"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210118362","display_name":"Institut de Recherche Math\u00e9matique Avanc\u00e9e","ror":"https://ror.org/02hwgty18","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210118362","https://openalex.org/I4210141950","https://openalex.org/I68947357"]},{"id":"https://openalex.org/I68947357","display_name":"Universit\u00e9 de Strasbourg","ror":"https://ror.org/00pg6eq24","country_code":"FR","type":"education","lineage":["https://openalex.org/I68947357"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ghorai, Rahuldev","raw_affiliation_strings":["Universit\u00e9 de Strasbourg , CNRS , Inria , IRMA , F-67000 , Strasbourg , France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Strasbourg , CNRS , Inria , IRMA , F-67000 , Strasbourg , France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210118362","https://openalex.org/I68947357"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical Solvers for Ordinary Differential Equations","score":0.6499000191688538,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical Solvers for Ordinary Differential Equations","score":0.6499000191688538,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.11020000278949738,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Singular Perturbation, Asymptotics and Difference Schemes","score":0.10580000281333923,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/structure-preserving-numerical-methods","display_name":"structure-preserving numerical methods","score":0.7570000290870667},{"id":"https://openalex.org/keywords/fourth-order-partial-differential-equations","display_name":"fourth-order partial differential equations","score":0.9319999814033508},{"id":"https://openalex.org/keywords/hyperbolic-approximation","display_name":"hyperbolic approximation","score":0.8949999809265137},{"id":"https://openalex.org/keywords/energy-conservation-physics","display_name":"energy conservation (physics)","score":0.7450000047683716},{"id":"https://openalex.org/keywords/positivity-preservation","display_name":"positivity preservation","score":0.984000027179718},{"id":"https://openalex.org/keywords/asymptotic-stability","display_name":"asymptotic stability","score":0.7919999957084656},{"id":"https://openalex.org/keywords/thin-film-equation","display_name":"thin film equation","score":0.7369999885559082}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7098000049591064},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.5724999904632568},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5533000230789185},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5299000144004822},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49889999628067017},{"id":"https://openalex.org/C2986878899","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical approximation","level":3,"score":0.48910000920295715},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4507000148296356},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.44780001044273376},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4147000014781952},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.40849998593330383},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.36570000648498535},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.2996000051498413},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.29280000925064087},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.2922999858856201},{"id":"https://openalex.org/C11683690","wikidata":"https://www.wikidata.org/wiki/Q752726","display_name":"Asymptotic expansion","level":2,"score":0.29089999198913574},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.25769999623298645},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.25679999589920044}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.05939","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.05939","pdf_url":"https://arxiv.org/pdf/2609.05939","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.05939","doi":"https://doi.org/10.48550/arxiv.2609.05939","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.05939","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.05939","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.05939","pdf_url":"https://arxiv.org/pdf/2609.05939","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7212066997.pdf","grobid_xml":"https://content.openalex.org/works/W7212066997.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2071415808","https://openalex.org/W3082843779","https://openalex.org/W4390415065","https://openalex.org/W2053710570","https://openalex.org/W2187561398","https://openalex.org/W7140147755","https://openalex.org/W2952108218","https://openalex.org/W3022326838","https://openalex.org/W2967731425","https://openalex.org/W2164182078"],"abstract_inverted_index":{"We":[0],"introduce":[1],"a":[2,8,47,63,77],"novel":[3],"structure-preserving":[4],"numerical":[5,80],"method":[6,55],"for":[7,82],"first-order":[9],"hyperbolic":[10],"approximation":[11],"system,":[12],"which":[13],"approximates":[14],"the":[15,30,39,54,71,88,94],"solutions":[16],"of":[17,70,79,93],"general":[18],"fourth-order":[19],"partial":[20],"differential":[21],"equations.":[22],"By":[23],"employing":[24],"an":[25],"implicit-explicit":[26],"(IMEX)":[27],"splitting":[28],"between":[29],"stiff":[31],"and":[32,44,91],"non-stiff":[33],"terms,":[34],"we":[35,51,75],"rigorously":[36],"prove":[37],"that":[38,53,66],"proposed":[40],"scheme":[41],"is":[42,67],"energy-consistent":[43],"positivity-preserving":[45],"under":[46],"CFL-type":[48],"condition.":[49],"Furthermore,":[50],"show":[52],"remains":[56],"robustly":[57],"stable":[58],"in":[59],"asymptotic":[60],"regimes,":[61],"with":[62],"time-step":[64],"restriction":[65],"entirely":[68],"independent":[69],"relaxation":[72],"parameters.":[73],"Finally,":[74],"present":[76],"series":[78],"examples":[81],"thin":[83],"film":[84],"equations":[85],"to":[86],"validate":[87],"theoretical":[89],"properties":[90],"efficacy":[92],"scheme.":[95]},"counts_by_year":[],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2026-09-10T00:00:00"}
