{"id":"https://openalex.org/W2922771091","doi":"https://doi.org/10.1137/18m1211969","title":"An Adaptive Moving Mesh Method for Forced Curve Shortening Flow","display_name":"An Adaptive Moving Mesh Method for Forced Curve Shortening Flow","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2922771091","doi":"https://doi.org/10.1137/18m1211969","mag":"2922771091","pmid":"https://pubmed.ncbi.nlm.nih.gov/31798297"},"language":"en","primary_location":{"id":"doi:10.1137/18m1211969","is_oa":true,"landing_page_url":"https://doi.org/10.1137/18m1211969","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/18M1211969","source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://epubs.siam.org/doi/pdf/10.1137/18M1211969","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045486287","display_name":"J.A. Mackenzie","orcid":"https://orcid.org/0000-0003-4412-7057"},"institutions":[{"id":"https://openalex.org/I181647926","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69","country_code":"GB","type":"education","lineage":["https://openalex.org/I181647926"]},{"id":"https://openalex.org/I4210143228","display_name":"Cancer Research UK Scotland Institute","ror":"https://ror.org/03pv69j64","country_code":"GB","type":"facility","lineage":["https://openalex.org/I2801316944","https://openalex.org/I4210143228"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"J. A. Mackenzie","raw_affiliation_strings":["Cancer Research UK Beatson Institute, Glasgow G61 1BD, UK","Department of Mathematics and Statistics, University of Strathclyde, Glasgow G1 1XH, UK","\\ddagger Department of Mathematics and Statistics, University of Strathclyde, Glasgow G1 1XH, UK","\\S Cancer Research UK Beatson Institute, Glasgow G61 1BD, UK"],"raw_orcid":"https://orcid.org/0000-0003-4412-7057","affiliations":[{"raw_affiliation_string":"Cancer Research UK Beatson Institute, Glasgow G61 1BD, UK","institution_ids":["https://openalex.org/I4210143228"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Strathclyde, Glasgow G1 1XH, UK","institution_ids":["https://openalex.org/I181647926"]},{"raw_affiliation_string":"\\ddagger Department of Mathematics and Statistics, University of Strathclyde, Glasgow G1 1XH, UK","institution_ids":["https://openalex.org/I181647926"]},{"raw_affiliation_string":"\\S Cancer Research UK Beatson Institute, Glasgow G61 1BD, UK","institution_ids":["https://openalex.org/I4210143228"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056518422","display_name":"M. Nolan","orcid":null},"institutions":[{"id":"https://openalex.org/I181647926","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69","country_code":"GB","type":"education","lineage":["https://openalex.org/I181647926"]},{"id":"https://openalex.org/I4210143228","display_name":"Cancer Research UK Scotland Institute","ror":"https://ror.org/03pv69j64","country_code":"GB","type":"facility","lineage":["https://openalex.org/I2801316944","https://openalex.org/I4210143228"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"M. Nolan","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Strathclyde, Glasgow G1 1XH, UK","\\ddagger Department of Mathematics and Statistics, University of Strathclyde, Glasgow G1 1XH, UK","\\S Cancer Research UK Beatson Institute, Glasgow G61 1BD, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Strathclyde, Glasgow G1 1XH, UK","institution_ids":["https://openalex.org/I181647926"]},{"raw_affiliation_string":"\\ddagger Department of Mathematics and Statistics, University of Strathclyde, Glasgow G1 1XH, UK","institution_ids":["https://openalex.org/I181647926"]},{"raw_affiliation_string":"\\S Cancer Research UK Beatson Institute, Glasgow G61 1BD, UK","institution_ids":["https://openalex.org/I4210143228"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032521598","display_name":"Christopher Rowlatt","orcid":"https://orcid.org/0000-0002-7642-1333"},"institutions":[{"id":"https://openalex.org/I181647926","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69","country_code":"GB","type":"education","lineage":["https://openalex.org/I181647926"]},{"id":"https://openalex.org/I4210143228","display_name":"Cancer Research UK Scotland Institute","ror":"https://ror.org/03pv69j64","country_code":"GB","type":"facility","lineage":["https://openalex.org/I2801316944","https://openalex.org/I4210143228"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"C. F. Rowlatt","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Strathclyde, Glasgow G1 1XH, UK","\\S Cancer Research UK Beatson Institute, Glasgow G61 1BD, UK","\\ddagger Department of Mathematics and Statistics, University of Strathclyde, Glasgow G1 1XH, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Strathclyde, Glasgow G1 1XH, UK","institution_ids":["https://openalex.org/I181647926"]},{"raw_affiliation_string":"\\S Cancer Research UK Beatson Institute, Glasgow G61 1BD, UK","institution_ids":["https://openalex.org/I4210143228"]},{"raw_affiliation_string":"\\ddagger Department of Mathematics and Statistics, University of Strathclyde, Glasgow G1 1XH, UK","institution_ids":["https://openalex.org/I181647926"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054741862","display_name":"Robert H. Insall","orcid":"https://orcid.org/0000-0003-4898-040X"},"institutions":[{"id":"https://openalex.org/I181647926","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69","country_code":"GB","type":"education","lineage":["https://openalex.org/I181647926"]},{"id":"https://openalex.org/I4210143228","display_name":"Cancer Research UK Scotland Institute","ror":"https://ror.org/03pv69j64","country_code":"GB","type":"facility","lineage":["https://openalex.org/I2801316944","https://openalex.org/I4210143228"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"R. H. Insall","raw_affiliation_strings":["Cancer Research UK Beatson Institute, Glasgow G61 1BD, UK","\\ddagger Department of Mathematics and Statistics, University of Strathclyde, Glasgow G1 1XH, UK","\\S Cancer Research UK Beatson Institute, Glasgow G61 1BD, UK","Department of Mathematics and Statistics, University of Strathclyde, Glasgow G1 1XH, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cancer Research UK Beatson Institute, Glasgow G61 1BD, UK","institution_ids":["https://openalex.org/I4210143228"]},{"raw_affiliation_string":"\\ddagger Department of Mathematics and Statistics, University of Strathclyde, Glasgow G1 1XH, UK","institution_ids":["https://openalex.org/I181647926"]},{"raw_affiliation_string":"\\S Cancer Research UK Beatson Institute, Glasgow G61 1BD, UK","institution_ids":["https://openalex.org/I4210143228"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Strathclyde, Glasgow G1 1XH, UK","institution_ids":["https://openalex.org/I181647926"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":{"value":2876,"currency":"EUR","value_usd":3101},"fwci":2.4281,"has_fulltext":true,"cited_by_count":22,"citation_normalized_percentile":{"value":0.88601602,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"41","issue":"2","first_page":"A1170","last_page":"A1200"},"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":0.996999979019165,"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":0.996999979019165,"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":0.9969000220298767,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/equidistributed-sequence","display_name":"Equidistributed sequence","score":0.8438924551010132},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7620097398757935},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.744282603263855},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6849846839904785},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.5231039524078369},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.447692334651947},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4379880726337433},{"id":"https://openalex.org/keywords/adaptive-mesh-refinement","display_name":"Adaptive mesh refinement","score":0.4169742465019226},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.393138587474823},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3409537076950073},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.27264463901519775},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14425665140151978}],"concepts":[{"id":"https://openalex.org/C50742451","wikidata":"https://www.wikidata.org/wiki/Q1530388","display_name":"Equidistributed sequence","level":2,"score":0.8438924551010132},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7620097398757935},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.744282603263855},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6849846839904785},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.5231039524078369},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.447692334651947},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4379880726337433},{"id":"https://openalex.org/C131053463","wikidata":"https://www.wikidata.org/wiki/Q4680751","display_name":"Adaptive mesh refinement","level":2,"score":0.4169742465019226},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.393138587474823},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3409537076950073},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.27264463901519775},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14425665140151978},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/18m1211969","is_oa":true,"landing_page_url":"https://doi.org/10.1137/18m1211969","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/18M1211969","source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmid:31798297","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/31798297","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM journal on scientific computing : a publication of the Society for Industrial and Applied Mathematics","raw_type":null},{"id":"pmh:oai:strathprints.strath.ac.uk:66528","is_oa":true,"landing_page_url":"https://strathprints.strath.ac.uk/view/author/22614.html>","pdf_url":"https://strathprints.strath.ac.uk/66528/8/Mackenzie_etal_SIAM_JOSC_2019_An_adaptive_moving_mesh_method_for_forced_curve.pdf","source":{"id":"https://openalex.org/S4306402226","display_name":"Strathprints: The University of Strathclyde institutional repository (University of Strathclyde)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I181647926","host_organization_name":"University of Strathclyde","host_organization_lineage":["https://openalex.org/I181647926"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:europepmc.org:5848656","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/6890488","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1137/18m1211969","is_oa":true,"landing_page_url":"https://doi.org/10.1137/18m1211969","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/18M1211969","source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1177927345","display_name":null,"funder_award_id":"C22713/A20017","funder_id":"https://openalex.org/F4320319985","funder_display_name":"Cancer Research UK"},{"id":"https://openalex.org/G3232442651","display_name":null,"funder_award_id":"EP/N014642/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3728093668","display_name":"Isaac Newton Institute for Mathematical Sciences","funder_award_id":"EP/K032208/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4146667322","display_name":null,"funder_award_id":"RF-2014-522","funder_id":"https://openalex.org/F4320319993","funder_display_name":"Leverhulme Trust"},{"id":"https://openalex.org/G4421442999","display_name":null,"funder_award_id":"EP/K032208","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5128091834","display_name":null,"funder_award_id":"EP/K032208/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5387832179","display_name":null,"funder_award_id":"20017","funder_id":"https://openalex.org/F4320319985","funder_display_name":"Cancer Research UK"},{"id":"https://openalex.org/G5572079770","display_name":"EPSRC Centre for Multiscale Soft Tissue Mechanics - with application to heart &amp; cancer","funder_award_id":"EP/N014642/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5578800588","display_name":null,"funder_award_id":"EP/K032208/1","funder_id":"https://openalex.org/F4320313284","funder_display_name":"Isaac Newton Institute for Mathematical Sciences"},{"id":"https://openalex.org/G5600702830","display_name":null,"funder_award_id":"A20017","funder_id":"https://openalex.org/F4320319985","funder_display_name":"Cancer Research UK"},{"id":"https://openalex.org/G6521047444","display_name":null,"funder_award_id":"A15672","funder_id":"https://openalex.org/F4320319985","funder_display_name":"Cancer Research UK"},{"id":"https://openalex.org/G8709846071","display_name":null,"funder_award_id":"15672","funder_id":"https://openalex.org/F4320319985","funder_display_name":"Cancer Research UK"}],"funders":[{"id":"https://openalex.org/F4320313284","display_name":"Isaac Newton Institute for Mathematical Sciences","ror":null},{"id":"https://openalex.org/F4320319985","display_name":"Cancer Research UK","ror":"https://ror.org/054225q67"},{"id":"https://openalex.org/F4320319993","display_name":"Leverhulme Trust","ror":"https://ror.org/012mzw131"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2922771091.pdf","grobid_xml":"https://content.openalex.org/works/W2922771091.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W118271839","https://openalex.org/W1566833591","https://openalex.org/W1891577001","https://openalex.org/W1966739072","https://openalex.org/W1974724568","https://openalex.org/W1978539725","https://openalex.org/W1994312655","https://openalex.org/W1996178570","https://openalex.org/W2008398287","https://openalex.org/W2015242782","https://openalex.org/W2020684473","https://openalex.org/W2021654296","https://openalex.org/W2023546610","https://openalex.org/W2027016266","https://openalex.org/W2038867093","https://openalex.org/W2041170998","https://openalex.org/W2043304250","https://openalex.org/W2044382551","https://openalex.org/W2052006012","https://openalex.org/W2056742501","https://openalex.org/W2062314820","https://openalex.org/W2066945800","https://openalex.org/W2074789838","https://openalex.org/W2074996425","https://openalex.org/W2104095591","https://openalex.org/W2115218270","https://openalex.org/W2122180808","https://openalex.org/W2157670588","https://openalex.org/W2189647597","https://openalex.org/W2214746587","https://openalex.org/W2513913736","https://openalex.org/W2963607619"],"related_works":["https://openalex.org/W2798307508","https://openalex.org/W1532114054","https://openalex.org/W3208709978","https://openalex.org/W2951010900","https://openalex.org/W2060762090","https://openalex.org/W2903362893","https://openalex.org/W3104758280","https://openalex.org/W3215979663","https://openalex.org/W2020043686","https://openalex.org/W2147278394"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,13,28,34,39,71],"novel":[3],"adaptive":[4],"moving":[5],"mesh":[6,23,30,35],"method":[7,103],"for":[8,66,77],"the":[9,22,50,62,67,78,85,101,110],"numerical":[10],"solution":[11,106],"of":[12,21,87,92,97,112],"forced":[14],"curve":[15],"shortening":[16],"geometric":[17],"evolution":[18,64],"equation.":[19],"Control":[20],"quality":[24],"is":[25,46,75],"obtained":[26],"using":[27],"tangential":[29],"velocity":[31],"derived":[32],"from":[33],"equidistribution":[36],"principle,":[37],"where":[38],"positive":[40],"adaptivity":[41],"measure":[42],"or":[43],"monitor":[44],"function":[45],"approximately":[47],"equidistributed":[48],"along":[49],"evolving":[51],"curve.":[52],"Central":[53],"finite":[54],"differences":[55],"are":[56,82,96],"used":[57,76],"to":[58,109],"discretize":[59],"in":[60],"space":[61],"governing":[63],"equation":[65],"position":[68],"vector,":[69],"and":[70,95],"second-order":[72,98],"implicit":[73],"scheme":[74],"temporal":[79],"integration.":[80],"Simulations":[81],"presented":[83],"indicating":[84],"generation":[86],"meshes":[88],"which":[89],"resolve":[90],"areas":[91],"high":[93],"curvature":[94],"accuracy.":[99],"Furthermore,":[100],"new":[102],"delivers":[104],"improved":[105],"accuracy":[107],"compared":[108],"use":[111],"uniform":[113],"arc-length":[114],"meshes.":[115]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2024,"cited_by_count":6},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
