{"id":"https://openalex.org/W2617660179","doi":"https://doi.org/10.1007/s10915-017-0455-2","title":"High Order $$C^0$$ C 0 -Continuous Galerkin Schemes for High Order PDEs, Conservation of Quadratic Invariants and Application to the Korteweg-de Vries Model","display_name":"High Order $$C^0$$ C 0 -Continuous Galerkin Schemes for High Order PDEs, Conservation of Quadratic Invariants and Application to the Korteweg-de Vries Model","publication_year":2017,"publication_date":"2017-05-26","ids":{"openalex":"https://openalex.org/W2617660179","doi":"https://doi.org/10.1007/s10915-017-0455-2","mag":"2617660179"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-017-0455-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-017-0455-2","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":true,"oa_status":"green","oa_url":"https://hal.science/hal-01158007","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014213837","display_name":"S\u00e9bastian Minjeaud","orcid":"https://orcid.org/0000-0001-5976-4847"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]},{"id":"https://openalex.org/I4210112930","display_name":"Laboratoire Jean-Alexandre Dieudonn\u00e9","ror":"https://ror.org/0274zdr66","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I201841394","https://openalex.org/I4210112930","https://openalex.org/I4210141950"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Sebastian Minjeaud","raw_affiliation_strings":["Universit\u00e9 C\u00f4te d\u2019Azur, CNRS, Inria, LJAD, France","CASTOR - Control, Analysis and Simulations for TOkamak Research (2004 route des lucioles BP 93 06902 Sophia Antipolis Cedex - France)","LJAD - Laboratoire Jean Alexandre Dieudonn\u00e9 (Universit\u00e9 C\u00f4te d'Azur U.M.R. no 7351 du C.N.R.S. Parc Valrose 06108 Nice Cedex 02 France - France)"],"raw_orcid":"https://orcid.org/0000-0001-5976-4847","affiliations":[{"raw_affiliation_string":"Universit\u00e9 C\u00f4te d\u2019Azur, CNRS, Inria, LJAD, France","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CASTOR - Control, Analysis and Simulations for TOkamak Research (2004 route des lucioles BP 93 06902 Sophia Antipolis Cedex - France)","institution_ids":[]},{"raw_affiliation_string":"LJAD - Laboratoire Jean Alexandre Dieudonn\u00e9 (Universit\u00e9 C\u00f4te d'Azur U.M.R. no 7351 du C.N.R.S. Parc Valrose 06108 Nice Cedex 02 France - France)","institution_ids":["https://openalex.org/I4210112930","https://openalex.org/I201841394"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011873928","display_name":"Richard Pasquetti","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I201841394","display_name":"Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/019tgvf94","country_code":"FR","type":"education","lineage":["https://openalex.org/I201841394"]},{"id":"https://openalex.org/I4210112930","display_name":"Laboratoire Jean-Alexandre Dieudonn\u00e9","ror":"https://ror.org/0274zdr66","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I201841394","https://openalex.org/I4210112930","https://openalex.org/I4210141950"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Richard Pasquetti","raw_affiliation_strings":["Universit\u00e9 C\u00f4te d\u2019Azur, CNRS, Inria, LJAD, France","LJAD - Laboratoire Jean Alexandre Dieudonn\u00e9 (Universit\u00e9 C\u00f4te d'Azur U.M.R. no 7351 du C.N.R.S. Parc Valrose 06108 Nice Cedex 02 France - France)","CASTOR - Control, Analysis and Simulations for TOkamak Research (2004 route des lucioles BP 93 06902 Sophia Antipolis Cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 C\u00f4te d\u2019Azur, CNRS, Inria, LJAD, France","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LJAD - Laboratoire Jean Alexandre Dieudonn\u00e9 (Universit\u00e9 C\u00f4te d'Azur U.M.R. no 7351 du C.N.R.S. Parc Valrose 06108 Nice Cedex 02 France - France)","institution_ids":["https://openalex.org/I4210112930","https://openalex.org/I201841394"]},{"raw_affiliation_string":"CASTOR - Control, Analysis and Simulations for TOkamak Research (2004 route des lucioles BP 93 06902 Sophia Antipolis Cedex - France)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5014213837"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I201841394","https://openalex.org/I4210112930"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.4815,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.79922593,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"74","issue":"1","first_page":"491","last_page":"518"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998999834060669,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9995999932289124,"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/T10514","display_name":"Numerical methods in engineering","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/partial-differential-equation","display_name":"Partial differential equation","score":0.7443330883979797},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.651635468006134},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.6317054629325867},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.621256411075592},{"id":"https://openalex.org/keywords/korteweg\u2013de-vries-equation","display_name":"Korteweg\u2013de Vries equation","score":0.5861791372299194},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5855298638343811},{"id":"https://openalex.org/keywords/conformal-map","display_name":"Conformal map","score":0.5231686234474182},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5151380300521851},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.5037009119987488},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.45779284834861755},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.44898515939712524},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.41263994574546814},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.3347892761230469},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29029059410095215},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07676240801811218},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06681102514266968}],"concepts":[{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.7443330883979797},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.651635468006134},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.6317054629325867},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.621256411075592},{"id":"https://openalex.org/C146630112","wikidata":"https://www.wikidata.org/wiki/Q601796","display_name":"Korteweg\u2013de Vries equation","level":3,"score":0.5861791372299194},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5855298638343811},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.5231686234474182},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5151380300521851},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.5037009119987488},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.45779284834861755},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.44898515939712524},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.41263994574546814},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3347892761230469},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29029059410095215},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07676240801811218},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06681102514266968},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10915-017-0455-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-017-0455-2","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"},{"id":"pmh:oai:HAL:hal-01158007v2","is_oa":true,"landing_page_url":"https://hal.science/hal-01158007","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Scientific Computing, 2018, 74 (1), pp.491-518. ⟨10.1007/s10915-017-0455-2⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01158007v2","is_oa":true,"landing_page_url":"https://hal.science/hal-01158007","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Scientific Computing, 2018, 74 (1), pp.491-518. ⟨10.1007/s10915-017-0455-2⟩","raw_type":"Journal articles"},"sustainable_development_goals":[{"score":0.6399999856948853,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":76,"referenced_works":["https://openalex.org/W19936561","https://openalex.org/W68023263","https://openalex.org/W126643224","https://openalex.org/W193892979","https://openalex.org/W434478127","https://openalex.org/W777741172","https://openalex.org/W837422817","https://openalex.org/W1493181950","https://openalex.org/W1547265073","https://openalex.org/W1573927207","https://openalex.org/W1600383739","https://openalex.org/W1601187486","https://openalex.org/W1621885647","https://openalex.org/W1967633238","https://openalex.org/W1968345767","https://openalex.org/W1970276872","https://openalex.org/W1972119727","https://openalex.org/W1974838542","https://openalex.org/W1975034694","https://openalex.org/W1975036160","https://openalex.org/W1977849344","https://openalex.org/W1979677378","https://openalex.org/W1980123729","https://openalex.org/W1984329364","https://openalex.org/W1990378852","https://openalex.org/W2005632077","https://openalex.org/W2006042718","https://openalex.org/W2016002683","https://openalex.org/W2017130050","https://openalex.org/W2019767773","https://openalex.org/W2023105121","https://openalex.org/W2023558219","https://openalex.org/W2036810584","https://openalex.org/W2037887880","https://openalex.org/W2039078443","https://openalex.org/W2039221257","https://openalex.org/W2044891421","https://openalex.org/W2046134068","https://openalex.org/W2049835313","https://openalex.org/W2049888254","https://openalex.org/W2050639649","https://openalex.org/W2054420328","https://openalex.org/W2057145666","https://openalex.org/W2061186163","https://openalex.org/W2061890852","https://openalex.org/W2066109671","https://openalex.org/W2070668048","https://openalex.org/W2073533559","https://openalex.org/W2075496781","https://openalex.org/W2078045751","https://openalex.org/W2102076631","https://openalex.org/W2106127994","https://openalex.org/W2131473980","https://openalex.org/W2132133111","https://openalex.org/W2144007735","https://openalex.org/W2145229274","https://openalex.org/W2146188963","https://openalex.org/W2149374694","https://openalex.org/W2149616747","https://openalex.org/W2153635930","https://openalex.org/W2158738915","https://openalex.org/W2163247815","https://openalex.org/W2165886830","https://openalex.org/W2169090840","https://openalex.org/W2169437869","https://openalex.org/W2172257354","https://openalex.org/W2245932632","https://openalex.org/W2609037386","https://openalex.org/W2620258316","https://openalex.org/W2963691522","https://openalex.org/W2969262004","https://openalex.org/W3099153488","https://openalex.org/W4212789472","https://openalex.org/W4239114676","https://openalex.org/W4241085052","https://openalex.org/W4248626225"],"related_works":["https://openalex.org/W2027202866","https://openalex.org/W3149920197","https://openalex.org/W4293569346","https://openalex.org/W2397056152","https://openalex.org/W2494658963","https://openalex.org/W2949885877","https://openalex.org/W4252904065","https://openalex.org/W2734496778","https://openalex.org/W2129544565","https://openalex.org/W1984016728"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}