{"id":"https://openalex.org/W1662313334","doi":"https://doi.org/10.1023/a:1019165014068","title":"Inertial manifolds and linear multi-step methods","display_name":"Inertial manifolds and linear multi-step methods","publication_year":1997,"publication_date":"1997-04-01","ids":{"openalex":"https://openalex.org/W1662313334","doi":"https://doi.org/10.1023/a:1019165014068","mag":"1662313334"},"language":"en","primary_location":{"id":"doi:10.1023/a:1019165014068","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1019165014068","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://purehost.bath.ac.uk/ws/files/190627875/R3.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062734513","display_name":"Tony Shardlow","orcid":"https://orcid.org/0000-0003-1154-855X"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Tony Shardlow","raw_affiliation_strings":["Scientific Computing and Computational Mathematics, Stanford University, Gates 2B \u2013 MC 9025, Stanford, CA, 94305, USA","Scientific Computing and Computational Mathematics, Stanford University, Stanford, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Scientific Computing and Computational Mathematics, Stanford University, Gates 2B \u2013 MC 9025, Stanford, CA, 94305, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Scientific Computing and Computational Mathematics, Stanford University, Stanford, USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5062734513"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.4683,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.60365854,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"1-3","first_page":"189","last_page":"209"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9993000030517578,"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 methods for differential equations","score":0.9993000030517578,"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":0.9983999729156494,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.797378420829773},{"id":"https://openalex.org/keywords/inertial-frame-of-reference","display_name":"Inertial frame of reference","score":0.6816152334213257},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6065000295639038},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5828996300697327},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5214787721633911},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5162803530693054},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.48035916686058044},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3959254026412964},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.15781527757644653},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11896693706512451},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10007509589195251}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.797378420829773},{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.6816152334213257},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6065000295639038},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5828996300697327},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5214787721633911},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5162803530693054},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.48035916686058044},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3959254026412964},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.15781527757644653},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11896693706512451},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10007509589195251},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1023/a:1019165014068","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1019165014068","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:purehost.bath.ac.uk:publications/d3ecc299-f5f0-441c-a4aa-9104e552d6bc","is_oa":true,"landing_page_url":"https://researchportal.bath.ac.uk/en/publications/d3ecc299-f5f0-441c-a4aa-9104e552d6bc","pdf_url":"https://purehost.bath.ac.uk/ws/files/190627875/R3.pdf","source":{"id":"https://openalex.org/S4377196294","display_name":"Pure (University of Bath)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I51601045","host_organization_name":"University of Bath","host_organization_lineage":["https://openalex.org/I51601045"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Shardlow, T 1997, 'Inertial manifolds and linear multistep methods', Numerical Algorithms, vol. 14, no. 1-3, pp. 189-209. https://doi.org/10.1023/A:1019165014068","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:purehost.bath.ac.uk:publications/d3ecc299-f5f0-441c-a4aa-9104e552d6bc","is_oa":true,"landing_page_url":"https://researchportal.bath.ac.uk/en/publications/d3ecc299-f5f0-441c-a4aa-9104e552d6bc","pdf_url":"https://purehost.bath.ac.uk/ws/files/190627875/R3.pdf","source":{"id":"https://openalex.org/S4377196294","display_name":"Pure (University of Bath)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I51601045","host_organization_name":"University of Bath","host_organization_lineage":["https://openalex.org/I51601045"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Shardlow, T 1997, 'Inertial manifolds and linear multistep methods', Numerical Algorithms, vol. 14, no. 1-3, pp. 189-209. https://doi.org/10.1023/A:1019165014068","raw_type":"article"},"sustainable_development_goals":[{"score":0.49000000953674316,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1662313334.pdf","grobid_xml":"https://content.openalex.org/works/W1662313334.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1516587486","https://openalex.org/W1527296550","https://openalex.org/W1579475312","https://openalex.org/W1989094764","https://openalex.org/W1990755659","https://openalex.org/W1998544167","https://openalex.org/W2006494867","https://openalex.org/W2060452322","https://openalex.org/W2062928433","https://openalex.org/W2071701027","https://openalex.org/W2080099219","https://openalex.org/W2095377493","https://openalex.org/W4240014934","https://openalex.org/W4255560954","https://openalex.org/W4285719527","https://openalex.org/W4388292770"],"related_works":["https://openalex.org/W3125070615","https://openalex.org/W4389558692","https://openalex.org/W4250775169","https://openalex.org/W2883846442","https://openalex.org/W3016548847","https://openalex.org/W2064846591","https://openalex.org/W2039023896","https://openalex.org/W2154812892","https://openalex.org/W1979597783","https://openalex.org/W2028790718"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-29T09:16:38.111599","created_date":"2016-06-24T00:00:00"}