{"id":"https://openalex.org/W2215590268","doi":"https://doi.org/10.1007/s00211-017-0898-2","title":"Meshfree finite difference approximations for functions of the eigenvalues of the Hessian","display_name":"Meshfree finite difference approximations for functions of the eigenvalues of the Hessian","publication_year":2017,"publication_date":"2017-06-13","ids":{"openalex":"https://openalex.org/W2215590268","doi":"https://doi.org/10.1007/s00211-017-0898-2","mag":"2215590268"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-017-0898-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-017-0898-2","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1512.06287","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108264818","display_name":"Brittany D. Froese","orcid":null},"institutions":[{"id":"https://openalex.org/I4210140517","display_name":"University Heights Center","ror":"https://ror.org/04wngnd82","country_code":"US","type":"education","lineage":["https://openalex.org/I4210140517"]},{"id":"https://openalex.org/I118118575","display_name":"New Jersey Institute of Technology","ror":"https://ror.org/05e74xb87","country_code":"US","type":"education","lineage":["https://openalex.org/I118118575"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Brittany D. Froese","raw_affiliation_strings":["Department of Mathematical Sciences, New Jersey Institute of Technology, University Heights, Newark, NJ, 07102, USA","University Heights"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, New Jersey Institute of Technology, University Heights, Newark, NJ, 07102, USA","institution_ids":["https://openalex.org/I118118575"]},{"raw_affiliation_string":"University Heights","institution_ids":["https://openalex.org/I4210140517"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5108264818"],"corresponding_institution_ids":["https://openalex.org/I118118575","https://openalex.org/I4210140517"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.233,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.49285211,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"138","issue":"1","first_page":"75","last_page":"99"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9991000294685364,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9891999959945679,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hessian-matrix","display_name":"Hessian matrix","score":0.8587185144424438},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7654024362564087},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7052260637283325},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.698647141456604},{"id":"https://openalex.org/keywords/hessian-equation","display_name":"Hessian equation","score":0.6304229497909546},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.5277329683303833},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5235385894775391},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4956003427505493},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48156097531318665},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.4688241183757782},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4673372209072113},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.41862866282463074},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.10915514826774597},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08469966053962708},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07253530621528625}],"concepts":[{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.8587185144424438},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7654024362564087},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7052260637283325},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.698647141456604},{"id":"https://openalex.org/C73729460","wikidata":"https://www.wikidata.org/wiki/Q17023339","display_name":"Hessian equation","level":4,"score":0.6304229497909546},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.5277329683303833},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5235385894775391},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4956003427505493},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48156097531318665},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.4688241183757782},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4673372209072113},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.41862866282463074},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.10915514826774597},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08469966053962708},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07253530621528625},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C64057670","wikidata":"https://www.wikidata.org/wiki/Q4381442","display_name":"First-order partial differential equation","level":3,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00211-017-0898-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-017-0898-2","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1512.06287","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1512.06287","pdf_url":"https://arxiv.org/pdf/1512.06287","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"mag:2215590268","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1512.06287","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1512.06287","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1512.06287","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1512.06287","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1512.06287","pdf_url":"https://arxiv.org/pdf/1512.06287","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2215590268.pdf","grobid_xml":"https://content.openalex.org/works/W2215590268.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W8449164","https://openalex.org/W89307273","https://openalex.org/W935435023","https://openalex.org/W1566103846","https://openalex.org/W1570844572","https://openalex.org/W1604679511","https://openalex.org/W1684994732","https://openalex.org/W1964377184","https://openalex.org/W1968867254","https://openalex.org/W1980372935","https://openalex.org/W1980428722","https://openalex.org/W1997362019","https://openalex.org/W2000242689","https://openalex.org/W2002182424","https://openalex.org/W2008398007","https://openalex.org/W2010634241","https://openalex.org/W2011600769","https://openalex.org/W2012408182","https://openalex.org/W2015068148","https://openalex.org/W2019270511","https://openalex.org/W2032316144","https://openalex.org/W2041129188","https://openalex.org/W2048069593","https://openalex.org/W2054715051","https://openalex.org/W2076694827","https://openalex.org/W2077040879","https://openalex.org/W2084358734","https://openalex.org/W2095120409","https://openalex.org/W2116442609","https://openalex.org/W2142595675","https://openalex.org/W2165512200","https://openalex.org/W2177195156","https://openalex.org/W2187194588","https://openalex.org/W2313087217","https://openalex.org/W2324902717","https://openalex.org/W2335457376","https://openalex.org/W2603561109","https://openalex.org/W2770967592","https://openalex.org/W2962678797","https://openalex.org/W2963606666","https://openalex.org/W2964177917","https://openalex.org/W3099494581","https://openalex.org/W6610515285","https://openalex.org/W6777730689"],"related_works":["https://openalex.org/W3166921527","https://openalex.org/W1970045221","https://openalex.org/W2949294639","https://openalex.org/W2994420637"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-07T08:38:57.713557","created_date":"2025-10-10T00:00:00"}
