{"id":"https://openalex.org/W4409365350","doi":"https://doi.org/10.1007/s11227-025-07204-y","title":"Inference and training acceleration of deep learning partial differential equation solver","display_name":"Inference and training acceleration of deep learning partial differential equation solver","publication_year":2025,"publication_date":"2025-04-11","ids":{"openalex":"https://openalex.org/W4409365350","doi":"https://doi.org/10.1007/s11227-025-07204-y"},"language":"en","primary_location":{"id":"doi:10.1007/s11227-025-07204-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11227-025-07204-y","pdf_url":null,"source":{"id":"https://openalex.org/S32326811","display_name":"The Journal of Supercomputing","issn_l":"0920-8542","issn":["0920-8542","1573-0484"],"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":"The Journal of Supercomputing","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/A5100333845","display_name":"Xun Wang","orcid":"https://orcid.org/0000-0001-9143-2324"},"institutions":[{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xun Wang","raw_affiliation_strings":["Qingdao Institute of Software, College of Computer Science and Technology, China University of Petroleum (East China), West Changjiang Road, Qingdao, 266580, Shandong, China"],"affiliations":[{"raw_affiliation_string":"Qingdao Institute of Software, College of Computer Science and Technology, China University of Petroleum (East China), West Changjiang Road, Qingdao, 266580, Shandong, China","institution_ids":["https://openalex.org/I4210162190","https://openalex.org/I4210128818"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110267876","display_name":"Xuesong Zhu","orcid":"https://orcid.org/0009-0008-3136-7864"},"institutions":[{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xianxi Zhu","raw_affiliation_strings":["Qingdao Institute of Software, College of Computer Science and Technology, China University of Petroleum (East China), West Changjiang Road, Qingdao, 266580, Shandong, China"],"affiliations":[{"raw_affiliation_string":"Qingdao Institute of Software, College of Computer Science and Technology, China University of Petroleum (East China), West Changjiang Road, Qingdao, 266580, Shandong, China","institution_ids":["https://openalex.org/I4210162190","https://openalex.org/I4210128818"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102958618","display_name":"Xiangyu Meng","orcid":null},"institutions":[{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiangyu Meng","raw_affiliation_strings":["Qingdao Institute of Software, College of Computer Science and Technology, China University of Petroleum (East China), West Changjiang Road, Qingdao, 266580, Shandong, China"],"affiliations":[{"raw_affiliation_string":"Qingdao Institute of Software, College of Computer Science and Technology, China University of Petroleum (East China), West Changjiang Road, Qingdao, 266580, Shandong, China","institution_ids":["https://openalex.org/I4210162190","https://openalex.org/I4210128818"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062006761","display_name":"Zeyang Zhu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zeyang Zhu","raw_affiliation_strings":["Qingdao Institute of Software, College of Computer Science and Technology, China University of Petroleum (East China), West Changjiang Road, Qingdao, 266580, Shandong, China"],"affiliations":[{"raw_affiliation_string":"Qingdao Institute of Software, College of Computer Science and Technology, China University of Petroleum (East China), West Changjiang Road, Qingdao, 266580, Shandong, China","institution_ids":["https://openalex.org/I4210162190","https://openalex.org/I4210128818"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100347369","display_name":"Siyu Zhang","orcid":"https://orcid.org/0000-0001-5531-8655"},"institutions":[{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Siyu Zhang","raw_affiliation_strings":["Qingdao Institute of Software, College of Computer Science and Technology, China University of Petroleum (East China), West Changjiang Road, Qingdao, 266580, Shandong, China"],"affiliations":[{"raw_affiliation_string":"Qingdao Institute of Software, College of Computer Science and Technology, China University of Petroleum (East China), West Changjiang Road, Qingdao, 266580, Shandong, China","institution_ids":["https://openalex.org/I4210162190","https://openalex.org/I4210128818"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100459487","display_name":"Tao Song","orcid":"https://orcid.org/0000-0002-4995-3537"},"institutions":[{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tao Song","raw_affiliation_strings":["Qingdao Institute of Software, College of Computer Science and Technology, China University of Petroleum (East China), West Changjiang Road, Qingdao, 266580, Shandong, China"],"affiliations":[{"raw_affiliation_string":"Qingdao Institute of Software, College of Computer Science and Technology, China University of Petroleum (East China), West Changjiang Road, Qingdao, 266580, Shandong, China","institution_ids":["https://openalex.org/I4210162190","https://openalex.org/I4210128818"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5100459487"],"corresponding_institution_ids":["https://openalex.org/I4210128818","https://openalex.org/I4210162190"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.4198,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.80438925,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"81","issue":"5","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998000264167786,"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":0.9998000264167786,"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/T12560","display_name":"Nuclear Engineering Thermal-Hydraulics","score":0.9574000239372253,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9458000063896179,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.8818536996841431},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.7102475166320801},{"id":"https://openalex.org/keywords/acceleration","display_name":"Acceleration","score":0.6777971386909485},{"id":"https://openalex.org/keywords/training","display_name":"Training (meteorology)","score":0.6548621654510498},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.6095836162567139},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5820431113243103},{"id":"https://openalex.org/keywords/deep-learning","display_name":"Deep learning","score":0.5254256725311279},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4994187355041504},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3835269808769226},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33371102809906006},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08940845727920532},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0743769109249115},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.07361301779747009}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8818536996841431},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7102475166320801},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.6777971386909485},{"id":"https://openalex.org/C2777211547","wikidata":"https://www.wikidata.org/wiki/Q17141490","display_name":"Training (meteorology)","level":2,"score":0.6548621654510498},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.6095836162567139},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5820431113243103},{"id":"https://openalex.org/C108583219","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep learning","level":2,"score":0.5254256725311279},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4994187355041504},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3835269808769226},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33371102809906006},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08940845727920532},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0743769109249115},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.07361301779747009},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11227-025-07204-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11227-025-07204-y","pdf_url":null,"source":{"id":"https://openalex.org/S32326811","display_name":"The Journal of Supercomputing","issn_l":"0920-8542","issn":["0920-8542","1573-0484"],"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":"The Journal of Supercomputing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5881903318","display_name":null,"funder_award_id":"2021YFA1000103","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7403065677","display_name":null,"funder_award_id":"62372469","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7422609337","display_name":null,"funder_award_id":"ZR2022LZH009","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1922926746","https://openalex.org/W1970454553","https://openalex.org/W1978642402","https://openalex.org/W2139923370","https://openalex.org/W2883830791","https://openalex.org/W2899283552","https://openalex.org/W2900369848","https://openalex.org/W2962747323","https://openalex.org/W2969381807","https://openalex.org/W2969388332","https://openalex.org/W2979786244","https://openalex.org/W2994144272","https://openalex.org/W3011751313","https://openalex.org/W3014468003","https://openalex.org/W3022973855","https://openalex.org/W3041682155","https://openalex.org/W3101104221","https://openalex.org/W3129831491","https://openalex.org/W3148573243","https://openalex.org/W3153200540","https://openalex.org/W3175189837","https://openalex.org/W3197308578","https://openalex.org/W3200673624","https://openalex.org/W3201666041","https://openalex.org/W3204998121","https://openalex.org/W4210423197","https://openalex.org/W4307460303","https://openalex.org/W4387530909","https://openalex.org/W4387544258","https://openalex.org/W4391827186","https://openalex.org/W6600175564","https://openalex.org/W6600751047","https://openalex.org/W6604569975","https://openalex.org/W6610640258"],"related_works":["https://openalex.org/W2186864281","https://openalex.org/W4255427455","https://openalex.org/W4375867731","https://openalex.org/W1966025497","https://openalex.org/W2565094479","https://openalex.org/W68941528","https://openalex.org/W2390829436","https://openalex.org/W4206451355","https://openalex.org/W1989791859","https://openalex.org/W3011358647"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-02-22T13:39:03.778224","created_date":"2025-10-10T00:00:00"}
