{"id":"https://openalex.org/W3194756493","doi":"https://doi.org/10.1007/s42514-021-00076-7","title":"Recent advance in machine learning for partial differential equation","display_name":"Recent advance in machine learning for partial differential equation","publication_year":2021,"publication_date":"2021-08-20","ids":{"openalex":"https://openalex.org/W3194756493","doi":"https://doi.org/10.1007/s42514-021-00076-7","mag":"3194756493"},"language":"en","primary_location":{"id":"doi:10.1007/s42514-021-00076-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s42514-021-00076-7","pdf_url":null,"source":{"id":"https://openalex.org/S4210190911","display_name":"CCF Transactions on High Performance Computing","issn_l":"2524-4922","issn":["2524-4922","2524-4930"],"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":"CCF Transactions on High Performance 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/A5084054549","display_name":"Ka Chun Cheung","orcid":"https://orcid.org/0000-0002-2939-4686"},"institutions":[{"id":"https://openalex.org/I1304085615","display_name":"Nvidia (United Kingdom)","ror":"https://ror.org/02kr42612","country_code":"GB","type":"company","lineage":["https://openalex.org/I1304085615","https://openalex.org/I4210127875"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Ka Chun Cheung","raw_affiliation_strings":["NVIDIA AI Technology Centre, NVIDIA Corp, Shatin N.T., Hong Kong"],"raw_orcid":"https://orcid.org/0000-0002-2939-4686","affiliations":[{"raw_affiliation_string":"NVIDIA AI Technology Centre, NVIDIA Corp, Shatin N.T., Hong Kong","institution_ids":["https://openalex.org/I1304085615"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077539496","display_name":"Simon See","orcid":"https://orcid.org/0000-0002-4958-9237"},"institutions":[{"id":"https://openalex.org/I1304085615","display_name":"Nvidia (United Kingdom)","ror":"https://ror.org/02kr42612","country_code":"GB","type":"company","lineage":["https://openalex.org/I1304085615","https://openalex.org/I4210127875"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Simon See","raw_affiliation_strings":["NVIDIA AI Technology Centre, NVIDIA Corp, Shatin N.T., Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NVIDIA AI Technology Centre, NVIDIA Corp, Shatin N.T., Hong Kong","institution_ids":["https://openalex.org/I1304085615"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5084054549"],"corresponding_institution_ids":["https://openalex.org/I1304085615"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2790},"apc_paid":null,"fwci":0.8117,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.70989175,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"3","issue":"3","first_page":"298","last_page":"310"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13650","display_name":"Computational Physics and Python Applications","score":0.970300018787384,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9337999820709229,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/computer-science","display_name":"Computer science","score":0.7074618935585022},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6758747100830078},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.6219950318336487},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.5272884964942932},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.5051971077919006},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.43409672379493713},{"id":"https://openalex.org/keywords/multi-task-learning","display_name":"Multi-task learning","score":0.4142928719520569},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19834211468696594}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7074618935585022},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6758747100830078},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6219950318336487},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.5272884964942932},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.5051971077919006},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.43409672379493713},{"id":"https://openalex.org/C28006648","wikidata":"https://www.wikidata.org/wiki/Q6934509","display_name":"Multi-task learning","level":3,"score":0.4142928719520569},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19834211468696594},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s42514-021-00076-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s42514-021-00076-7","pdf_url":null,"source":{"id":"https://openalex.org/S4210190911","display_name":"CCF Transactions on High Performance Computing","issn_l":"2524-4922","issn":["2524-4922","2524-4930"],"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":"CCF Transactions on High Performance Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":65,"referenced_works":["https://openalex.org/W1489608363","https://openalex.org/W1500158105","https://openalex.org/W1583837637","https://openalex.org/W1589634392","https://openalex.org/W1972005403","https://openalex.org/W1995341919","https://openalex.org/W2024712946","https://openalex.org/W2048239613","https://openalex.org/W2064675550","https://openalex.org/W2065106256","https://openalex.org/W2119821739","https://openalex.org/W2122538988","https://openalex.org/W2127218421","https://openalex.org/W2147800946","https://openalex.org/W2158985775","https://openalex.org/W2194775991","https://openalex.org/W2330820318","https://openalex.org/W2417863416","https://openalex.org/W2625995436","https://openalex.org/W2737303530","https://openalex.org/W2749028154","https://openalex.org/W2756433771","https://openalex.org/W2767434619","https://openalex.org/W2785887210","https://openalex.org/W2803629276","https://openalex.org/W2808746463","https://openalex.org/W2809700041","https://openalex.org/W2884489495","https://openalex.org/W2890291741","https://openalex.org/W2899283552","https://openalex.org/W2900929853","https://openalex.org/W2903660960","https://openalex.org/W2912649832","https://openalex.org/W2922701384","https://openalex.org/W2944808962","https://openalex.org/W2963021886","https://openalex.org/W2963112935","https://openalex.org/W2963302407","https://openalex.org/W2963359731","https://openalex.org/W2964121744","https://openalex.org/W2964328368","https://openalex.org/W2973805762","https://openalex.org/W2993551995","https://openalex.org/W3010839048","https://openalex.org/W3011147100","https://openalex.org/W3014009018","https://openalex.org/W3015647587","https://openalex.org/W3035395385","https://openalex.org/W3036234074","https://openalex.org/W3036843665","https://openalex.org/W3037671155","https://openalex.org/W3085162807","https://openalex.org/W3098011980","https://openalex.org/W3099661895","https://openalex.org/W3101260193","https://openalex.org/W3104114886","https://openalex.org/W3112264320","https://openalex.org/W3113208057","https://openalex.org/W3135296183","https://openalex.org/W3164669176","https://openalex.org/W3168386838","https://openalex.org/W3205073660","https://openalex.org/W6600175564","https://openalex.org/W6600286444","https://openalex.org/W6745514887"],"related_works":["https://openalex.org/W3021272668","https://openalex.org/W2961085424","https://openalex.org/W2803309984","https://openalex.org/W2963872552","https://openalex.org/W2237537322","https://openalex.org/W4224009465","https://openalex.org/W4306674287","https://openalex.org/W4286629047","https://openalex.org/W2951720331","https://openalex.org/W2029287765"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3}],"updated_date":"2026-07-17T09:13:05.818461","created_date":"2025-10-10T00:00:00"}