{"id":"https://openalex.org/W4403656998","doi":"https://doi.org/10.1007/s10915-024-02675-2","title":"Discontinuous Galerkin Methods for a First-Order Semi-Linear Hyperbolic Continuum Model of a Topological Resonator Dimer Array","display_name":"Discontinuous Galerkin Methods for a First-Order Semi-Linear Hyperbolic Continuum Model of a Topological Resonator Dimer Array","publication_year":2024,"publication_date":"2024-10-22","ids":{"openalex":"https://openalex.org/W4403656998","doi":"https://doi.org/10.1007/s10915-024-02675-2"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-024-02675-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-024-02675-2","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056115552","display_name":"Qiang Du","orcid":"https://orcid.org/0000-0002-1067-8937"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Qiang Du","raw_affiliation_strings":["Department of Applied Physics and Applied Mathematics, and Data Science Institute, Columbia University, NewYork, NY, 10027, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Physics and Applied Mathematics, and Data Science Institute, Columbia University, NewYork, NY, 10027, USA","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111476622","display_name":"Huaiyu Li","orcid":null},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Huaiyu Li","raw_affiliation_strings":["Department of Applied Physics and Applied Mathematics, and Data Science Institute, Columbia University, NewYork, NY, 10027, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Physics and Applied Mathematics, and Data Science Institute, Columbia University, NewYork, NY, 10027, USA","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074916646","display_name":"Michael I. Weinstein","orcid":"https://orcid.org/0000-0002-6266-6604"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Weinstein","raw_affiliation_strings":["Department of Applied Physics and Applied Mathematics, and Data Science Institute, Columbia University, NewYork, NY, 10027, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Physics and Applied Mathematics, and Data Science Institute, Columbia University, NewYork, NY, 10027, USA","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032078745","display_name":"Lu Zhang","orcid":"https://orcid.org/0000-0002-2940-6261"},"institutions":[{"id":"https://openalex.org/I4210094934","display_name":"Kennedy Center","ror":"https://ror.org/00kzzgw26","country_code":"DK","type":"healthcare","lineage":["https://openalex.org/I2802567020","https://openalex.org/I4210094934"]},{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["DK","US"],"is_corresponding":true,"raw_author_name":"Lu Zhang","raw_affiliation_strings":["Department of Computational Applied Mathematics and Operations Research, Rice University, Houston, TX, 77098, USA","Ken Kennedy Institute, Rice University, Houston, TX, 77005, USA"],"raw_orcid":"https://orcid.org/0000-0002-2940-6261","affiliations":[{"raw_affiliation_string":"Department of Computational Applied Mathematics and Operations Research, Rice University, Houston, TX, 77098, USA","institution_ids":["https://openalex.org/I74775410"]},{"raw_affiliation_string":"Ken Kennedy Institute, Rice University, Houston, TX, 77005, USA","institution_ids":["https://openalex.org/I74775410","https://openalex.org/I4210094934"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5032078745"],"corresponding_institution_ids":["https://openalex.org/I4210094934","https://openalex.org/I74775410"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3457,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.64561131,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"101","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9994000196456909,"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"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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":0.9984999895095825,"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":0.8352434635162354},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5846514701843262},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5328904390335083},{"id":"https://openalex.org/keywords/resonator","display_name":"Resonator","score":0.491345077753067},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.47911524772644043},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4469074606895447},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.424783855676651},{"id":"https://openalex.org/keywords/first-order","display_name":"First order","score":0.4240800440311432},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.34226685762405396},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.20750394463539124},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11090490221977234},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07875344157218933},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.06336086988449097}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8352434635162354},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5846514701843262},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5328904390335083},{"id":"https://openalex.org/C97126364","wikidata":"https://www.wikidata.org/wiki/Q349669","display_name":"Resonator","level":2,"score":0.491345077753067},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.47911524772644043},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4469074606895447},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.424783855676651},{"id":"https://openalex.org/C2987642246","wikidata":"https://www.wikidata.org/wiki/Q5452196","display_name":"First order","level":2,"score":0.4240800440311432},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.34226685762405396},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.20750394463539124},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11090490221977234},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07875344157218933},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.06336086988449097},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-024-02675-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-024-02675-2","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1783977315","display_name":null,"funder_award_id":"1908657","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2082958272","display_name":null,"funder_award_id":"1620418","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3959939786","display_name":null,"funder_award_id":"2012562","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5514588798","display_name":null,"funder_award_id":"1937254","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7546795808","display_name":null,"funder_award_id":"376319","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W21598786","https://openalex.org/W49087508","https://openalex.org/W187557541","https://openalex.org/W202835528","https://openalex.org/W1555627060","https://openalex.org/W1583515859","https://openalex.org/W1600997507","https://openalex.org/W1791091458","https://openalex.org/W1967633238","https://openalex.org/W1967716557","https://openalex.org/W1978762857","https://openalex.org/W1982465309","https://openalex.org/W1982883068","https://openalex.org/W1983017600","https://openalex.org/W1984257336","https://openalex.org/W1986784896","https://openalex.org/W1993923624","https://openalex.org/W2012071009","https://openalex.org/W2012938047","https://openalex.org/W2018360748","https://openalex.org/W2042832861","https://openalex.org/W2052372846","https://openalex.org/W2059799261","https://openalex.org/W2061000251","https://openalex.org/W2062089614","https://openalex.org/W2065908448","https://openalex.org/W2072703702","https://openalex.org/W2085961649","https://openalex.org/W2092436849","https://openalex.org/W2102074887","https://openalex.org/W2118341834","https://openalex.org/W2122177687","https://openalex.org/W2161828222","https://openalex.org/W2317341383","https://openalex.org/W2728910311","https://openalex.org/W2795835319","https://openalex.org/W3093900823","https://openalex.org/W4226117271","https://openalex.org/W4232434164","https://openalex.org/W4253402875"],"related_works":["https://openalex.org/W623557396","https://openalex.org/W2059751975","https://openalex.org/W2580504822","https://openalex.org/W2120874885","https://openalex.org/W2765328031","https://openalex.org/W2330370671","https://openalex.org/W4384834233","https://openalex.org/W2162026849","https://openalex.org/W2394687667","https://openalex.org/W2887215440"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
