{"id":"https://openalex.org/W2747523436","doi":"https://doi.org/10.1515/cmam-2017-0031","title":"High-Order Semi-Discrete Central-Upwind Schemes with Lax\u2013Wendroff-Type Time Discretizations for Hamilton\u2013Jacobi Equations","display_name":"High-Order Semi-Discrete Central-Upwind Schemes with Lax\u2013Wendroff-Type Time Discretizations for Hamilton\u2013Jacobi Equations","publication_year":2017,"publication_date":"2017-08-26","ids":{"openalex":"https://openalex.org/W2747523436","doi":"https://doi.org/10.1515/cmam-2017-0031","mag":"2747523436"},"language":"en","primary_location":{"id":"doi:10.1515/cmam-2017-0031","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2017-0031","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","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/A5076879409","display_name":"Rooholah Abedian","orcid":"https://orcid.org/0000-0002-1739-5964"},"institutions":[{"id":"https://openalex.org/I23946033","display_name":"University of Tehran","ror":"https://ror.org/05vf56z40","country_code":"IR","type":"education","lineage":["https://openalex.org/I23946033"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Rooholah Abedian","raw_affiliation_strings":["Department of Engineering Science , College of Engineering , University of Tehran , Tehran , Iran"],"raw_orcid":"https://orcid.org/0000-0002-1739-5964","affiliations":[{"raw_affiliation_string":"Department of Engineering Science , College of Engineering , University of Tehran , Tehran , Iran","institution_ids":["https://openalex.org/I23946033"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5076879409"],"corresponding_institution_ids":["https://openalex.org/I23946033"],"apc_list":null,"apc_paid":null,"fwci":0.9877,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.74327043,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"18","issue":"4","first_page":"559","last_page":"580"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9995999932289124,"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":0.9995999932289124,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9990000128746033,"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/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.9986000061035156,"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/discretization","display_name":"Discretization","score":0.8704365491867065},{"id":"https://openalex.org/keywords/upwind-scheme","display_name":"Upwind scheme","score":0.8568607568740845},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.745985746383667},{"id":"https://openalex.org/keywords/total-variation-diminishing","display_name":"Total variation diminishing","score":0.7033684253692627},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.61507248878479},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4897446632385254},{"id":"https://openalex.org/keywords/time-derivative","display_name":"Time derivative","score":0.4877651333808899},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.431356817483902},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12063330411911011}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8704365491867065},{"id":"https://openalex.org/C94025248","wikidata":"https://www.wikidata.org/wiki/Q7899499","display_name":"Upwind scheme","level":3,"score":0.8568607568740845},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.745985746383667},{"id":"https://openalex.org/C152284280","wikidata":"https://www.wikidata.org/wiki/Q7828154","display_name":"Total variation diminishing","level":2,"score":0.7033684253692627},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.61507248878479},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4897446632385254},{"id":"https://openalex.org/C17685861","wikidata":"https://www.wikidata.org/wiki/Q6960532","display_name":"Time derivative","level":2,"score":0.4877651333808899},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.431356817483902},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12063330411911011}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/cmam-2017-0031","is_oa":false,"landing_page_url":"https://doi.org/10.1515/cmam-2017-0031","pdf_url":null,"source":{"id":"https://openalex.org/S2765013998","display_name":"Computational Methods in Applied Mathematics","issn_l":"1609-4840","issn":["1609-4840","1609-9389"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Methods in Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W153353184","https://openalex.org/W1513760541","https://openalex.org/W1575881461","https://openalex.org/W1585906732","https://openalex.org/W1965134668","https://openalex.org/W1971334156","https://openalex.org/W1983402014","https://openalex.org/W1986838484","https://openalex.org/W1991113069","https://openalex.org/W2005919860","https://openalex.org/W2006134838","https://openalex.org/W2006321195","https://openalex.org/W2008076987","https://openalex.org/W2015655726","https://openalex.org/W2020168202","https://openalex.org/W2025363506","https://openalex.org/W2027438381","https://openalex.org/W2030757776","https://openalex.org/W2039150507","https://openalex.org/W2042336927","https://openalex.org/W2045849310","https://openalex.org/W2047497215","https://openalex.org/W2047844727","https://openalex.org/W2048143037","https://openalex.org/W2048475936","https://openalex.org/W2053216189","https://openalex.org/W2054662916","https://openalex.org/W2057462050","https://openalex.org/W2070505479","https://openalex.org/W2079578802","https://openalex.org/W2089454298","https://openalex.org/W2093711514","https://openalex.org/W2109801076","https://openalex.org/W2112548197","https://openalex.org/W2116729868","https://openalex.org/W2124772009","https://openalex.org/W2125671914","https://openalex.org/W2142901407","https://openalex.org/W2156669471","https://openalex.org/W2157153211","https://openalex.org/W2479988433","https://openalex.org/W2749408143"],"related_works":["https://openalex.org/W2490260030","https://openalex.org/W1640904596","https://openalex.org/W2073022496","https://openalex.org/W2989780569","https://openalex.org/W4235996852","https://openalex.org/W2143576483","https://openalex.org/W3175610923","https://openalex.org/W2773424874","https://openalex.org/W109366419","https://openalex.org/W3033395744"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"new":[2,48,57,116,134,145],"fifth-order,":[3],"semi-discrete":[4],"central-upwind":[5],"scheme":[6,49,58,135],"with":[7,122],"a":[8,53,76,119],"Lax\u2013Wendroff":[9],"time":[10,26,36],"discretization":[11,27,72],"procedure":[12],"for":[13,25,126,140],"solving":[14],"Hamilton\u2013Jacobi":[15],"(HJ)":[16],"equations":[17],"is":[18,21,50,59,73,136],"presented.":[19],"This":[20],"an":[22],"alternative":[23],"method":[24,146],"to":[28,107],"the":[29,41,47,62,83,86,89,99,109,115,129,133,144,154,157],"popular":[30],"total":[31],"variation":[32],"diminishing":[33],"(TVD)":[34],"Runge\u2013Kutta":[35],"discretizations.":[37],"Unlike":[38],"most":[39],"of":[40,82,88,114,132,156],"commonly":[42],"used":[43],"high-order":[44],"upwind":[45],"schemes,":[46],"formulated":[51],"as":[52],"Godunov-type":[54],"method.":[55,117],"The":[56,70],"based":[60,74],"on":[61,75],"flux":[63],"Kurganov,":[64],"Noelle":[65],"and":[66,111],"Petrova":[67],"(KNP":[68],"flux).":[69],"spatial":[71],"symmetrical":[77],"weighted":[78],"essentially":[79],"non-oscillatory":[80,93],"reconstruction":[81],"derivative.":[84],"Following":[85],"methodology":[87],"classic":[90],"WENO":[91],"procedure,":[92],"weights":[94],"are":[95,105],"then":[96],"calculated":[97],"from":[98],"ideal":[100],"weights.":[101],"Various":[102],"numerical":[103],"experiments":[104],"performed":[106],"demonstrate":[108],"accuracy":[110],"stability":[112],"properties":[113],"As":[118],"result,":[120],"comparing":[121],"other":[123],"fifth-order":[124],"schemes":[125],"HJ":[127],"equations,":[128],"major":[130],"advantage":[131],"more":[137],"cost":[138],"effective":[139],"certain":[141],"problems":[142],"while":[143],"exhibits":[147],"smaller":[148],"errors":[149],"without":[150],"any":[151],"increase":[152],"in":[153],"complexity":[155],"computations.":[158]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
