{"id":"https://openalex.org/W2087667894","doi":"https://doi.org/10.1007/s10915-013-9796-7","title":"Optimal Strong-Stability-Preserving Runge\u2013Kutta Time Discretizations for Discontinuous Galerkin Methods","display_name":"Optimal Strong-Stability-Preserving Runge\u2013Kutta Time Discretizations for Discontinuous Galerkin Methods","publication_year":2013,"publication_date":"2013-10-28","ids":{"openalex":"https://openalex.org/W2087667894","doi":"https://doi.org/10.1007/s10915-013-9796-7","mag":"2087667894"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-013-9796-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-013-9796-7","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/A5055657922","display_name":"Ethan J. Kubatko","orcid":"https://orcid.org/0000-0002-5686-9990"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ethan J. Kubatko","raw_affiliation_strings":["Department of Civil, Environmental, and Geodetic Engineering, The Ohio State University, 2070 Neil Avenue, Columbus, OH, 43210, USA","Department of Civil, Environmental, and Geodetic Engineering, The Ohio State University, Columbus, USA 43210#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Civil, Environmental, and Geodetic Engineering, The Ohio State University, 2070 Neil Avenue, Columbus, OH, 43210, USA","institution_ids":["https://openalex.org/I52357470"]},{"raw_affiliation_string":"Department of Civil, Environmental, and Geodetic Engineering, The Ohio State University, Columbus, USA 43210#TAB#","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007895994","display_name":"Benjamin Yeager","orcid":"https://orcid.org/0000-0003-0534-0349"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Benjamin A. Yeager","raw_affiliation_strings":["Department of Civil, Environmental, and Geodetic Engineering, The Ohio State University, 2070 Neil Avenue, Columbus, OH, 43210, USA","Department of Civil, Environmental, and Geodetic Engineering, The Ohio State University, Columbus, USA 43210#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Civil, Environmental, and Geodetic Engineering, The Ohio State University, 2070 Neil Avenue, Columbus, OH, 43210, USA","institution_ids":["https://openalex.org/I52357470"]},{"raw_affiliation_string":"Department of Civil, Environmental, and Geodetic Engineering, The Ohio State University, Columbus, USA 43210#TAB#","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033821749","display_name":"David I. Ketcheson","orcid":"https://orcid.org/0000-0002-1212-126X"},"institutions":[{"id":"https://openalex.org/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"David I. Ketcheson","raw_affiliation_strings":["Division of Mathematical and Computer Sciences and Engineering, 4700 King Abdullah University of Science and Technology, Thuwal, 23955, Saudi Arabia","Division of Mathematical and Computer Sciences and Engineering, 4700 King Abdullah University of Science and Technology, Thuwal, Saudi Arabia 23955#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Mathematical and Computer Sciences and Engineering, 4700 King Abdullah University of Science and Technology, Thuwal, 23955, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]},{"raw_affiliation_string":"Division of Mathematical and Computer Sciences and Engineering, 4700 King Abdullah University of Science and Technology, Thuwal, Saudi Arabia 23955#TAB#","institution_ids":["https://openalex.org/I71920554"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5055657922"],"corresponding_institution_ids":["https://openalex.org/I52357470"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":2.5195,"has_fulltext":false,"cited_by_count":70,"citation_normalized_percentile":{"value":0.88462606,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"60","issue":"2","first_page":"313","last_page":"344"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9997000098228455,"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":0.9997000098228455,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9997000098228455,"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":0.9997000098228455,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.8623334765434265},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.8618679046630859},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8194097280502319},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6731477975845337},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.5571491718292236},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.546592116355896},{"id":"https://openalex.org/keywords/spacetime","display_name":"Spacetime","score":0.4900625944137573},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.46349287033081055},{"id":"https://openalex.org/keywords/courant\u2013friedrichs\u2013lewy-condition","display_name":"Courant\u2013Friedrichs\u2013Lewy condition","score":0.4292193055152893},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.38878345489501953},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.3612914979457855},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.3598668575286865},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.2595297396183014},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12134420871734619}],"concepts":[{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.8623334765434265},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.8618679046630859},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8194097280502319},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6731477975845337},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.5571491718292236},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.546592116355896},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.4900625944137573},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.46349287033081055},{"id":"https://openalex.org/C30295242","wikidata":"https://www.wikidata.org/wiki/Q1023483","display_name":"Courant\u2013Friedrichs\u2013Lewy condition","level":3,"score":0.4292193055152893},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38878345489501953},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.3612914979457855},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3598668575286865},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.2595297396183014},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12134420871734619},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","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},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10915-013-9796-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-013-9796-7","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"},{"id":"pmh:oai:repository.kaust.edu.sa:10754/333639","is_oa":false,"landing_page_url":"http://hdl.handle.net/10754/333639","pdf_url":null,"source":{"id":"https://openalex.org/S4306401596","display_name":"King Abdullah University of Science and Technology Repository (King Abdullah University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I71920554","host_organization_name":"King Abdullah University of Science and Technology","host_organization_lineage":["https://openalex.org/I71920554"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15","score":0.6200000047683716}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1486816047","https://openalex.org/W1507767947","https://openalex.org/W1543750907","https://openalex.org/W1658455564","https://openalex.org/W1965490868","https://openalex.org/W1969251581","https://openalex.org/W1969647398","https://openalex.org/W1973083629","https://openalex.org/W1974943103","https://openalex.org/W1977389418","https://openalex.org/W1982883068","https://openalex.org/W1986328299","https://openalex.org/W1989697469","https://openalex.org/W1990790313","https://openalex.org/W1991867815","https://openalex.org/W1998830482","https://openalex.org/W2005665126","https://openalex.org/W2006634395","https://openalex.org/W2019720983","https://openalex.org/W2022154414","https://openalex.org/W2065908448","https://openalex.org/W2067297470","https://openalex.org/W2078290517","https://openalex.org/W2095195558","https://openalex.org/W2098364742","https://openalex.org/W2108449012","https://openalex.org/W2112273172","https://openalex.org/W2113642685","https://openalex.org/W2116729868","https://openalex.org/W2121666033","https://openalex.org/W2127234110","https://openalex.org/W2162099936","https://openalex.org/W2170341408","https://openalex.org/W2494779131","https://openalex.org/W2536798859","https://openalex.org/W2963405032","https://openalex.org/W3106390416","https://openalex.org/W4252060206","https://openalex.org/W4285719527","https://openalex.org/W4300831640"],"related_works":["https://openalex.org/W2726528067","https://openalex.org/W2129573473","https://openalex.org/W2380255313","https://openalex.org/W2952149072","https://openalex.org/W2154700905","https://openalex.org/W2138882090","https://openalex.org/W4366777355","https://openalex.org/W1964985536","https://openalex.org/W2092808148","https://openalex.org/W2071331898"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
