{"id":"https://openalex.org/W2265777347","doi":"https://doi.org/10.1090/mcom/3072","title":"Convergence of discontinuous Galerkin schemes for front propagation with obstacles","display_name":"Convergence of discontinuous Galerkin schemes for front propagation with obstacles","publication_year":2015,"publication_date":"2015-05-06","ids":{"openalex":"https://openalex.org/W2265777347","doi":"https://doi.org/10.1090/mcom/3072","mag":"2265777347"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/3072","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/3072","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1409.6692","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001917610","display_name":"Olivier Bokanowski","orcid":"https://orcid.org/0000-0001-7108-2005"},"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/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Olivier Bokanowski","raw_affiliation_strings":["Universit\u00c3\u00a9 Paris Diderot, Sorbonne Paris Cit\u00c3\u00a9, Laboratoire Jacques-Louis Lions, UMR 7598, UPMC, CNRS, F-75205 Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00c3\u00a9 Paris Diderot, Sorbonne Paris Cit\u00c3\u00a9, Laboratoire Jacques-Louis Lions, UMR 7598, UPMC, CNRS, F-75205 Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I204730241","https://openalex.org/I4210158291","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002089116","display_name":"Yingda Cheng","orcid":"https://orcid.org/0000-0003-3229-2979"},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yingda Cheng","raw_affiliation_strings":["Department of Mathematics, Michigan State University, East Lansing, Michigan 48824"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Michigan State University, East Lansing, Michigan 48824","institution_ids":["https://openalex.org/I87216513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047035333","display_name":"Chi\u2010Wang Shu","orcid":"https://orcid.org/0000-0001-7720-9564"},"institutions":[{"id":"https://openalex.org/I27804330","display_name":"Brown University","ror":"https://ror.org/05gq02987","country_code":"US","type":"education","lineage":["https://openalex.org/I27804330"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chi-Wang Shu","raw_affiliation_strings":["Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912","institution_ids":["https://openalex.org/I27804330"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0118,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.86355617,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"85","issue":"301","first_page":"2131","last_page":"2159"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9991999864578247,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9991999864578247,"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":0.9986000061035156,"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"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9979000091552734,"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":0.8742159605026245},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.8364332914352417},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.7126932740211487},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.599265992641449},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5731619000434875},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5480393171310425},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5184552073478699},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4645160734653473},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4566156268119812},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41148728132247925},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1957995593547821},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.15771466493606567}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8742159605026245},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.8364332914352417},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7126932740211487},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.599265992641449},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5731619000434875},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5480393171310425},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5184552073478699},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4645160734653473},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4566156268119812},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41148728132247925},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1957995593547821},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.15771466493606567},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1090/mcom/3072","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/3072","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1409.6692","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1409.6692","pdf_url":"https://arxiv.org/pdf/1409.6692","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:arXiv.org:1409.6692","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1409.6692","pdf_url":"https://arxiv.org/pdf/1409.6692","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.399.9648","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.399.9648","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hal.inria.fr/docs/00/83/43/42/PDF/main.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.741.3236","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.741.3236","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1409.6692.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00834342v3","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-00834342","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":"2014","raw_type":"Preprints, Working Papers, ..."},{"id":"doi:10.48550/arxiv.1409.6692","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1409.6692","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1409.6692","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1409.6692","pdf_url":"https://arxiv.org/pdf/1409.6692","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1056916763","display_name":null,"funder_award_id":"FP7-PEOPLE-2010-ITN","funder_id":"https://openalex.org/F4320338368","funder_display_name":"FP7 People: Marie-Curie Actions"},{"id":"https://openalex.org/G1646709308","display_name":null,"funder_award_id":"1318186","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G2061603017","display_name":null,"funder_award_id":"W911NF-11-1-0091","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2395329515","display_name":null,"funder_award_id":"1217563","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2472506649","display_name":null,"funder_award_id":"1318186","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4162402309","display_name":"Algorithm Design and Analysis for High Order Numerical Methods","funder_award_id":"1112700","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4673416553","display_name":null,"funder_award_id":"DMS-1418750","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G4885325495","display_name":null,"funder_award_id":"1418750","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6387110885","display_name":null,"funder_award_id":"DMS-1418750","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6737869112","display_name":null,"funder_award_id":"W911NF-11-1-0091","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G7452299184","display_name":null,"funder_award_id":"W911NF","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G7795430257","display_name":null,"funder_award_id":"DMS-1112700","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8321282146","display_name":null,"funder_award_id":"DMS-1217563","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8428196355","display_name":null,"funder_award_id":"1217563","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G862988727","display_name":null,"funder_award_id":"W911NF-11","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G8780616894","display_name":null,"funder_award_id":"DMS-1112700","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320310016","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993"},{"id":"https://openalex.org/F4320332431","display_name":"College of Engineering, Michigan State University","ror":"https://ror.org/05hs6h993"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"},{"id":"https://openalex.org/F4320338368","display_name":"FP7 People: Marie-Curie Actions","ror":"https://ror.org/00k4n6c32"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W153353184","https://openalex.org/W587977125","https://openalex.org/W1507767947","https://openalex.org/W1604311391","https://openalex.org/W1964345118","https://openalex.org/W1965222034","https://openalex.org/W1967021195","https://openalex.org/W1974099477","https://openalex.org/W1974854353","https://openalex.org/W1995720627","https://openalex.org/W2012205781","https://openalex.org/W2014405238","https://openalex.org/W2017827790","https://openalex.org/W2026836732","https://openalex.org/W2027438381","https://openalex.org/W2037141346","https://openalex.org/W2039802576","https://openalex.org/W2041523977","https://openalex.org/W2045474960","https://openalex.org/W2060242824","https://openalex.org/W2074966937","https://openalex.org/W2079578802","https://openalex.org/W2081377160","https://openalex.org/W2086161529","https://openalex.org/W2087446945","https://openalex.org/W2095148363","https://openalex.org/W2108193376","https://openalex.org/W2120290852","https://openalex.org/W2143454084","https://openalex.org/W2157195870"],"related_works":["https://openalex.org/W3185235544","https://openalex.org/W4297791327","https://openalex.org/W2897842840","https://openalex.org/W2911623553","https://openalex.org/W2397777611","https://openalex.org/W1502031429","https://openalex.org/W2318923278","https://openalex.org/W2162026849","https://openalex.org/W2394687667","https://openalex.org/W2887215440"],"abstract_inverted_index":{"We":[0],"study":[1],"semi-Lagrangian":[2],"discontinuous":[3,8],"Galerkin":[4,9],"(SLDG)":[5],"and":[6,112],"Runge-Kutta":[7],"(RKDG)":[10],"schemes":[11],"for":[12,117,129],"some":[13],"front":[14],"propagation":[15],"problems":[16],"in":[17,105],"the":[18,31,126,130,133,142],"presence":[19],"of":[20,30,132,144],"an":[21],"obstacle":[22],"term,":[23],"modeled":[24],"by":[25],"a":[26],"nonlinear":[27],"Hamilton-Jacobi":[28],"equation":[29],"form":[32],"<inline-formula":[33],"content-type=\"math/mathml\">":[34],"<mml:math":[35],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[36],"alttext=\"min":[37],"left-parenthesis":[38,53],"u":[39,45,50,98],"Subscript":[40,46],"t":[41],"Baseline":[42,48],"plus":[43],"c":[44,96],"x":[47,54],"comma":[49],"minus":[51],"g":[52],"right-parenthesis":[55,56],"equals":[57],"0\">":[58],"<mml:semantics>":[59],"<mml:mrow>":[60],"<mml:mo":[61,64,82,85,87],"movablelimits=\"true\"":[62],"form=\"prefix\">min</mml:mo>":[63],"stretchy=\"false\">(</mml:mo>":[65,83],"<mml:msub>":[66,72],"<mml:mi>u</mml:mi>":[67,73,77],"<mml:mi>t</mml:mi>":[68],"</mml:msub>":[69,75],"<mml:mo>+</mml:mo>":[70],"<mml:mi>c</mml:mi>":[71],"<mml:mi>x</mml:mi>":[74,84],"<mml:mo>,</mml:mo>":[76],"<mml:mo>":[78],"\u2212":[79],"</mml:mo>":[80],"<mml:mi>g</mml:mi>":[81],"stretchy=\"false\">)</mml:mo>":[86,88],"<mml:mo>=</mml:mo>":[89],"<mml:mn>0</mml:mn>":[90],"</mml:mrow>":[91],"<mml:annotation":[92],"encoding=\"application/x-tex\">\\min":[93],"(u_t":[94],"+":[95],"u_x,":[97],"-":[99],"g(x))=0</mml:annotation>":[100],"</mml:semantics>":[101],"</mml:math>":[102],"</inline-formula>":[103],",":[104],"one":[106],"space":[107],"dimension.":[108],"New":[109],"convergence":[110],"results":[111],"error":[113],"bounds":[114],"are":[115,125,138],"obtained":[116],"Lipschitz":[118],"regular":[119],"data.":[120],"These":[121],"\u201clow":[122],"regularity\u201d":[123],"assumptions":[124],"natural":[127],"ones":[128],"solutions":[131],"studied":[134],"equations.":[135],"Numerical":[136],"tests":[137],"given":[139],"to":[140],"illustrate":[141],"behavior":[143],"our":[145],"schemes.":[146]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2019-06-27T00:00:00"}