{"id":"https://openalex.org/W2027772856","doi":"https://doi.org/10.1142/s0129053391000024","title":"THE PARALLEL PERFORMANCE OF STANDARD PARABOLIC MARCHING SCHEMES","display_name":"THE PARALLEL PERFORMANCE OF STANDARD PARABOLIC MARCHING SCHEMES","publication_year":1991,"publication_date":"1991-03-01","ids":{"openalex":"https://openalex.org/W2027772856","doi":"https://doi.org/10.1142/s0129053391000024","mag":"2027772856"},"language":"en","primary_location":{"id":"doi:10.1142/s0129053391000024","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129053391000024","pdf_url":null,"source":{"id":"https://openalex.org/S112418432","display_name":"International Journal of High Speed Computing","issn_l":"0129-0533","issn":["0129-0533"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of High Speed 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/A5062993526","display_name":"Stefan Vandewalle","orcid":"https://orcid.org/0000-0002-8988-2374"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"S. VANDEWALLE","raw_affiliation_strings":["Katholieke Universiteit Leuven, Departement Computerwetenschappen, Celestijnenlaan 200 A, B-3001 Leuven, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Katholieke Universiteit Leuven, Departement Computerwetenschappen, Celestijnenlaan 200 A, B-3001 Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109062025","display_name":"R. Van Driessche","orcid":null},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"R. VAN DRIESSCHE","raw_affiliation_strings":["Katholieke Universiteit Leuven, Departement Computerwetenschappen, Celestijnenlaan 200 A, B-3001 Leuven, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Katholieke Universiteit Leuven, Departement Computerwetenschappen, Celestijnenlaan 200 A, B-3001 Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070232245","display_name":"Robert Piessens","orcid":null},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"R. PIESSENS","raw_affiliation_strings":["Katholieke Universiteit Leuven, Departement Computerwetenschappen, Celestijnenlaan 200 A, B-3001 Leuven, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Katholieke Universiteit Leuven, Departement Computerwetenschappen, Celestijnenlaan 200 A, B-3001 Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I99464096"],"apc_list":null,"apc_paid":null,"fwci":3.1282,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.90708684,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"03","issue":"01","first_page":"1","last_page":"29"},"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":0.9968000054359436,"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":0.9968000054359436,"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":0.9889000058174133,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9810000061988831,"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/intel-ipsc","display_name":"Intel iPSC","score":0.7273175716400146},{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.7090926766395569},{"id":"https://openalex.org/keywords/backward-euler-method","display_name":"Backward Euler method","score":0.5481687784194946},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.547472357749939},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.5384037494659424},{"id":"https://openalex.org/keywords/crank","display_name":"Crank","score":0.5169548392295837},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46984022855758667},{"id":"https://openalex.org/keywords/alternating-direction-implicit-method","display_name":"Alternating direction implicit method","score":0.4649098813533783},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4494166970252991},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.44669342041015625},{"id":"https://openalex.org/keywords/parallelism","display_name":"Parallelism (grammar)","score":0.44461044669151306},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.391245573759079},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.3505381941795349},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.19005560874938965},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1492956280708313},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08738553524017334}],"concepts":[{"id":"https://openalex.org/C199115840","wikidata":"https://www.wikidata.org/wiki/Q108649754","display_name":"Intel iPSC","level":3,"score":0.7273175716400146},{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.7090926766395569},{"id":"https://openalex.org/C768646","wikidata":"https://www.wikidata.org/wiki/Q2736820","display_name":"Backward Euler method","level":3,"score":0.5481687784194946},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.547472357749939},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.5384037494659424},{"id":"https://openalex.org/C198994188","wikidata":"https://www.wikidata.org/wiki/Q857558","display_name":"Crank","level":3,"score":0.5169548392295837},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46984022855758667},{"id":"https://openalex.org/C142363948","wikidata":"https://www.wikidata.org/wiki/Q4736413","display_name":"Alternating direction implicit method","level":3,"score":0.4649098813533783},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4494166970252991},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.44669342041015625},{"id":"https://openalex.org/C2781172179","wikidata":"https://www.wikidata.org/wiki/Q853109","display_name":"Parallelism (grammar)","level":2,"score":0.44461044669151306},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.391245573759079},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.3505381941795349},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.19005560874938965},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1492956280708313},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08738553524017334},{"id":"https://openalex.org/C203311528","wikidata":"https://www.wikidata.org/wiki/Q34132","display_name":"Cylinder","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0129053391000024","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129053391000024","pdf_url":null,"source":{"id":"https://openalex.org/S112418432","display_name":"International Journal of High Speed Computing","issn_l":"0129-0533","issn":["0129-0533"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of High Speed Computing","raw_type":"journal-article"},{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/132930","is_oa":false,"landing_page_url":"https://lirias.kuleuven.be/bitstream/123456789/132930/1/IJHSCVdwVanDriesscheRP.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S7407055369","display_name":"Lirias","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of High Speed Computing, vol. 3 (1), Art.No. 1, (1-29)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4250003423","https://openalex.org/W2026686860","https://openalex.org/W2127111677","https://openalex.org/W1555339015","https://openalex.org/W2914457235","https://openalex.org/W2139778910","https://openalex.org/W2154509600","https://openalex.org/W2072900126","https://openalex.org/W1524302211","https://openalex.org/W2171122365"],"abstract_inverted_index":{"We":[0,28],"compare":[1],"standard":[2,40],"parallel":[3,26],"algorithms":[4],"for":[5],"solving":[6],"linear":[7],"parabolic":[8],"partial":[9],"differential":[10],"equations.":[11],"The":[12],"comparison":[13],"is":[14,70,90],"based":[15],"on":[16,62],"the":[17,30,39,47,52,77,80,83],"combined":[18],"effect":[19],"of":[20,55,79,85],"their":[21,25],"numerical":[22],"properties":[23],"and":[24,37,45,51,57],"performance.":[27],"discuss":[29],"classical":[31],"explicit":[32],"methods":[33,42,81],"(forward":[34],"Euler,":[35],"Heun":[36],"DuFort-Frankel),":[38],"implicit":[41],"(BDF1,":[43],"BDF2":[44],"Crank-Nicolson),":[46],"line":[48],"Hopscotch":[49],"technique":[50],"ADI":[53],"formula":[54],"McKee":[56],"Mitchell.":[58],"Timing":[59],"results":[60],"obtained":[61],"a":[63],"16-processor":[64],"Intel":[65],"hypercube":[66],"are":[67],"given.":[68],"It":[69],"shown":[71],"that":[72],"parallelism":[73],"does":[74],"not":[75],"alter":[76],"ranking":[78],"unless":[82],"number":[84],"grid":[86],"points":[87],"per":[88],"processor":[89],"very":[91],"small.":[92]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}