{"id":"https://openalex.org/W3201437599","doi":"https://doi.org/10.1007/s10915-021-01635-4","title":"Time Step Restrictions for Strong-Stability-Preserving Multistep Runge\u2013Kutta Discontinuous Galerkin Methods","display_name":"Time Step Restrictions for Strong-Stability-Preserving Multistep Runge\u2013Kutta Discontinuous Galerkin Methods","publication_year":2021,"publication_date":"2021-09-17","ids":{"openalex":"https://openalex.org/W3201437599","doi":"https://doi.org/10.1007/s10915-021-01635-4","mag":"3201437599"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-021-01635-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-021-01635-4","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/A5007895994","display_name":"Benjamin Yeager","orcid":"https://orcid.org/0000-0003-0534-0349"},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Benjamin Yeager","raw_affiliation_strings":["New York University, New York, USA"],"affiliations":[{"raw_affiliation_string":"New York University, New York, USA","institution_ids":["https://openalex.org/I57206974"]}]},{"author_position":"middle","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":false,"raw_author_name":"Ethan Kubatko","raw_affiliation_strings":["The Ohio State University, Columbus, OH, USA"],"affiliations":[{"raw_affiliation_string":"The Ohio State University, Columbus, OH, USA","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084681068","display_name":"Dylan Wood","orcid":"https://orcid.org/0000-0002-7289-4539"},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dylan Wood","raw_affiliation_strings":["Notre Dame University, South Bend, IN, USA"],"affiliations":[{"raw_affiliation_string":"Notre Dame University, South Bend, IN, USA","institution_ids":["https://openalex.org/I107639228"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5007895994"],"corresponding_institution_ids":["https://openalex.org/I57206974"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3102,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.55365579,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"89","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9994999766349792,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9987999796867371,"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":0.8227251172065735},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.741077721118927},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.7258997559547424},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6239373683929443},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5943080186843872},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5681832432746887},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5386396050453186},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49074873328208923},{"id":"https://openalex.org/keywords/linear-stability","display_name":"Linear stability","score":0.46092626452445984},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.45813870429992676},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.4315556585788727},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.41431140899658203},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4033378064632416},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3619517385959625},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10517966747283936}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8227251172065735},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.741077721118927},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.7258997559547424},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6239373683929443},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5943080186843872},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5681832432746887},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5386396050453186},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49074873328208923},{"id":"https://openalex.org/C43466630","wikidata":"https://www.wikidata.org/wiki/Q17098945","display_name":"Linear stability","level":3,"score":0.46092626452445984},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.45813870429992676},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.4315556585788727},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.41431140899658203},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4033378064632416},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3619517385959625},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10517966747283936},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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":1,"locations":[{"id":"doi:10.1007/s10915-021-01635-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-021-01635-4","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":[{"display_name":"Climate action","score":0.5299999713897705,"id":"https://metadata.un.org/sdg/13"}],"awards":[{"id":"https://openalex.org/G1646472926","display_name":null,"funder_award_id":"EAR-1520870","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8154478156","display_name":null,"funder_award_id":"ICER-1855047","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1486816047","https://openalex.org/W1507767947","https://openalex.org/W1576783654","https://openalex.org/W1973083629","https://openalex.org/W1973481688","https://openalex.org/W1973813321","https://openalex.org/W1982465309","https://openalex.org/W1982883068","https://openalex.org/W1990790313","https://openalex.org/W1991867815","https://openalex.org/W1993923624","https://openalex.org/W1997721842","https://openalex.org/W2038107889","https://openalex.org/W2043223657","https://openalex.org/W2065908448","https://openalex.org/W2072531818","https://openalex.org/W2081211815","https://openalex.org/W2085961649","https://openalex.org/W2087667894","https://openalex.org/W2095195558","https://openalex.org/W2098364742","https://openalex.org/W2112273172","https://openalex.org/W2121666033","https://openalex.org/W2126549906","https://openalex.org/W2170341408","https://openalex.org/W2189516201","https://openalex.org/W2263019166","https://openalex.org/W2536798859","https://openalex.org/W2963548925","https://openalex.org/W3010292040","https://openalex.org/W4250038851","https://openalex.org/W4252060206","https://openalex.org/W4285719527","https://openalex.org/W4300831640"],"related_works":["https://openalex.org/W2120874885","https://openalex.org/W3178131028","https://openalex.org/W1964985536","https://openalex.org/W2162026849","https://openalex.org/W2394687667","https://openalex.org/W1578827532","https://openalex.org/W2243194968","https://openalex.org/W3016323796","https://openalex.org/W2011680735","https://openalex.org/W2440082619"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
