{"id":"https://openalex.org/W2139094454","doi":"https://doi.org/10.1080/1065514021000012336","title":"A Comparison of Modern Hyperbolic Methods for Semiconductor Device Simulation: NTK Central Scheme Vs. CLAWPACK","display_name":"A Comparison of Modern Hyperbolic Methods for Semiconductor Device Simulation: NTK Central Scheme Vs. CLAWPACK","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2139094454","doi":"https://doi.org/10.1080/1065514021000012336","mag":"2139094454"},"language":"en","primary_location":{"id":"doi:10.1080/1065514021000012336","is_oa":true,"landing_page_url":"https://doi.org/10.1080/1065514021000012336","pdf_url":"https://downloads.hindawi.com/archive/2002/480368.pdf","source":{"id":"https://openalex.org/S81291924","display_name":"VLSI design","issn_l":"1026-7123","issn":["1026-7123","1065-514X","1563-5171"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"VLSI Design","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://downloads.hindawi.com/archive/2002/480368.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024841022","display_name":"Carl L. Gardner","orcid":"https://orcid.org/0000-0001-8967-3356"},"institutions":[{"id":"https://openalex.org/I4210152479","display_name":"Statistical Service","ror":"https://ror.org/05vydvf11","country_code":"CY","type":"government","lineage":["https://openalex.org/I4210152479"]},{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["CY","US"],"is_corresponding":false,"raw_author_name":"Carl L. Gardner","raw_affiliation_strings":["Department of Mathematics, Arizona State University","CLAS-NS: Mathematics and Statistical Sciences, School of (SMSS)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Arizona State University","institution_ids":["https://openalex.org/I55732556"]},{"raw_affiliation_string":"CLAS-NS: Mathematics and Statistical Sciences, School of (SMSS)","institution_ids":["https://openalex.org/I4210152479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052474931","display_name":"Anne Gelb","orcid":"https://orcid.org/0000-0002-9219-4572"},"institutions":[{"id":"https://openalex.org/I4210152479","display_name":"Statistical Service","ror":"https://ror.org/05vydvf11","country_code":"CY","type":"government","lineage":["https://openalex.org/I4210152479"]},{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["CY","US"],"is_corresponding":false,"raw_author_name":"Anne Gelb","raw_affiliation_strings":["Department of Mathematics, Arizona State University","CLAS-NS: Mathematics and Statistical Sciences, School of (SMSS)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Arizona State University","institution_ids":["https://openalex.org/I55732556"]},{"raw_affiliation_string":"CLAS-NS: Mathematics and Statistical Sciences, School of (SMSS)","institution_ids":["https://openalex.org/I4210152479"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046467459","display_name":"J.I. Hernandez","orcid":null},"institutions":[{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Justin Hernandez","raw_affiliation_strings":["Department of Mathematics, Arizona State University","Arizona State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Arizona State University","institution_ids":["https://openalex.org/I55732556"]},{"raw_affiliation_string":"Arizona State University","institution_ids":["https://openalex.org/I55732556"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4647,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.68136999,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"15","issue":"4","first_page":"721","last_page":"728"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9991999864578247,"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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10384","display_name":"Laser-Plasma Interactions and Diagnostics","score":0.9825000166893005,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"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/scheme","display_name":"Scheme (mathematics)","score":0.6604536771774292},{"id":"https://openalex.org/keywords/godunovs-scheme","display_name":"Godunov's scheme","score":0.5561215877532959},{"id":"https://openalex.org/keywords/software-package","display_name":"Software package","score":0.5303892493247986},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4522058963775635},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3713323175907135},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34404367208480835},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.3157174587249756},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23589429259300232},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.15374448895454407}],"concepts":[{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.6604536771774292},{"id":"https://openalex.org/C146705398","wikidata":"https://www.wikidata.org/wiki/Q4291826","display_name":"Godunov's scheme","level":3,"score":0.5561215877532959},{"id":"https://openalex.org/C3020440742","wikidata":"https://www.wikidata.org/wiki/Q1176855","display_name":"Software package","level":3,"score":0.5303892493247986},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4522058963775635},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3713323175907135},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34404367208480835},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.3157174587249756},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23589429259300232},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.15374448895454407},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1080/1065514021000012336","is_oa":true,"landing_page_url":"https://doi.org/10.1080/1065514021000012336","pdf_url":"https://downloads.hindawi.com/archive/2002/480368.pdf","source":{"id":"https://openalex.org/S81291924","display_name":"VLSI design","issn_l":"1026-7123","issn":["1026-7123","1065-514X","1563-5171"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"VLSI Design","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.22.5341","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.22.5341","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://math.la.asu.edu/~ag/semipaper1.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.718.2647","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.718.2647","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://math.la.asu.edu/%7Egardner/480368.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1080/1065514021000012336","is_oa":true,"landing_page_url":"https://doi.org/10.1080/1065514021000012336","pdf_url":"https://downloads.hindawi.com/archive/2002/480368.pdf","source":{"id":"https://openalex.org/S81291924","display_name":"VLSI design","issn_l":"1026-7123","issn":["1026-7123","1065-514X","1563-5171"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"VLSI Design","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4862466451","display_name":"High Resolution Finite Difference and Spectral Algorithms for Piecewise Smooth Data","funder_award_id":"0107428","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306151","display_name":"Alfred P. Sloan Foundation","ror":"https://ror.org/052csg198"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2139094454.pdf","grobid_xml":"https://content.openalex.org/works/W2139094454.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W64183279","https://openalex.org/W199430607","https://openalex.org/W1976246102","https://openalex.org/W2008076987","https://openalex.org/W2034976587","https://openalex.org/W2095389001","https://openalex.org/W2099163406","https://openalex.org/W2099400260","https://openalex.org/W2119577204","https://openalex.org/W2156669471","https://openalex.org/W2157862867","https://openalex.org/W2170281894","https://openalex.org/W4298209087"],"related_works":["https://openalex.org/W2520772736","https://openalex.org/W2027379071","https://openalex.org/W177459275","https://openalex.org/W2560382380","https://openalex.org/W2149263892","https://openalex.org/W2046863157","https://openalex.org/W4235496431","https://openalex.org/W2155302041","https://openalex.org/W1990412843","https://openalex.org/W3042945901"],"abstract_inverted_index":{"Two":[0],"modern":[1],"hyperbolic":[2],"methods\u2014a":[3],"second\u2010order":[4,14],"Godunov":[5],"method":[6],"in":[7,26,47,53,61],"the":[8,13,27,58,62,67,78],"software":[9],"package":[10],"CLAWPACK":[11,65],"and":[12],"Nessyahu\u2013Tadmor\u2013Kurganov":[15],"(NTK)":[16],"central":[17,36],"scheme\u2014are":[18],"compared":[19],"for":[20,31],"simulating":[21],"an":[22],"electron":[23],"shock":[24],"wave":[25],"classical":[28],"hydrodynamic":[29,63],"model":[30],"semiconductor":[32],"devices.":[33],"The":[34],"NTK":[35,79],"scheme,":[37],"which":[38],"does":[39],"not":[40],"employ":[41],"Riemann":[42],"problem":[43],"solutions,":[44],"is":[45,51,81],"described":[46],"detail.":[48],"Special":[49],"attention":[50],"paid":[52],"both":[54],"methods":[55],"to":[56],"handling":[57],"source":[59,68],"terms":[60,69],"model.":[64],"incorporates":[66],"by":[70],"a":[71],"splitting":[72],"method,":[73],"while":[74],"our":[75],"version":[76],"of":[77],"scheme":[80],"unsplit.":[82]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
