{"id":"https://openalex.org/W7135400050","doi":"https://doi.org/10.1016/j.jcp.2026.114868","title":"Highly efficient semi-implicit structure-preserving algorithms for preserving the symmetry and quadratic invariants of complex-valued nonlinear partial differential equations","display_name":"Highly efficient semi-implicit structure-preserving algorithms for preserving the symmetry and quadratic invariants of complex-valued nonlinear partial differential equations","publication_year":2026,"publication_date":"2026-03-14","ids":{"openalex":"https://openalex.org/W7135400050","doi":"https://doi.org/10.1016/j.jcp.2026.114868"},"language":"en","primary_location":{"id":"doi:10.1016/j.jcp.2026.114868","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jcp.2026.114868","pdf_url":null,"source":{"id":"https://openalex.org/S148709879","display_name":"Journal of Computational Physics","issn_l":"0021-9991","issn":["0021-9991","1090-2716"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Physics","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/A5000102113","display_name":"Zhuangzhi Xu","orcid":"https://orcid.org/0000-0001-7760-0942"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Zhuangzhi Xu","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110927534","display_name":"Qi Hong Qi Hong","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Qi Hong","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5129169696","display_name":"Yushun Wang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yushun Wang","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5129250890","display_name":"Yuezheng Gong","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yuezheng Gong","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5000102113"],"corresponding_institution_ids":[],"apc_list":{"value":3750,"currency":"USD","value_usd":3750},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.79116578,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"558","issue":null,"first_page":"114868","last_page":"114868"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.5293999910354614,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.5293999910354614,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.1468999981880188,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.10750000178813934,"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/nonlinear-system","display_name":"Nonlinear system","score":0.6015999913215637},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5789999961853027},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5547999739646912},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.5206000208854675},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3668999969959259},{"id":"https://openalex.org/keywords/first-order-partial-differential-equation","display_name":"First-order partial differential equation","score":0.30880001187324524},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.28690001368522644}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6033999919891357},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6015999913215637},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5789999961853027},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5547999739646912},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.5206000208854675},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43160000443458557},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40119999647140503},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3889000117778778},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3668999969959259},{"id":"https://openalex.org/C64057670","wikidata":"https://www.wikidata.org/wiki/Q4381442","display_name":"First-order partial differential equation","level":3,"score":0.30880001187324524},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.28690001368522644},{"id":"https://openalex.org/C101487385","wikidata":"https://www.wikidata.org/wiki/Q7451766","display_name":"Separable partial differential equation","level":5,"score":0.27950000762939453},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2759000062942505},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.27149999141693115},{"id":"https://openalex.org/C84629840","wikidata":"https://www.wikidata.org/wiki/Q16979017","display_name":"Stochastic partial differential equation","level":3,"score":0.2574000060558319},{"id":"https://openalex.org/C53846429","wikidata":"https://www.wikidata.org/wiki/Q186475","display_name":"Partial derivative","level":2,"score":0.25619998574256897},{"id":"https://openalex.org/C97826883","wikidata":"https://www.wikidata.org/wiki/Q7069659","display_name":"Numerical partial differential equations","level":3,"score":0.2533000111579895},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.2531999945640564},{"id":"https://openalex.org/C3018263672","wikidata":"https://www.wikidata.org/wiki/Q1296251","display_name":"Efficient algorithm","level":2,"score":0.25099998712539673},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.2502000033855438}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.jcp.2026.114868","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jcp.2026.114868","pdf_url":null,"source":{"id":"https://openalex.org/S148709879","display_name":"Journal of Computational Physics","issn_l":"0021-9991","issn":["0021-9991","1090-2716"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Physics","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":49,"referenced_works":["https://openalex.org/W1495643052","https://openalex.org/W1561827849","https://openalex.org/W1600448051","https://openalex.org/W1725386086","https://openalex.org/W1965357780","https://openalex.org/W1972076780","https://openalex.org/W1973060549","https://openalex.org/W1983266776","https://openalex.org/W1992126849","https://openalex.org/W2001544532","https://openalex.org/W2003706036","https://openalex.org/W2006042718","https://openalex.org/W2019522628","https://openalex.org/W2020720168","https://openalex.org/W2023137937","https://openalex.org/W2038428654","https://openalex.org/W2048552716","https://openalex.org/W2055007784","https://openalex.org/W2056965879","https://openalex.org/W2075696551","https://openalex.org/W2080114591","https://openalex.org/W2085347462","https://openalex.org/W2100116001","https://openalex.org/W2117988589","https://openalex.org/W2121954553","https://openalex.org/W2137655760","https://openalex.org/W2141790616","https://openalex.org/W2533460754","https://openalex.org/W2562132457","https://openalex.org/W2752470478","https://openalex.org/W2766149883","https://openalex.org/W2889125065","https://openalex.org/W2963622516","https://openalex.org/W2981222369","https://openalex.org/W2991443752","https://openalex.org/W3001151904","https://openalex.org/W3015377707","https://openalex.org/W3029332433","https://openalex.org/W3033638228","https://openalex.org/W3087439622","https://openalex.org/W3171386003","https://openalex.org/W3191223093","https://openalex.org/W3194523916","https://openalex.org/W3210106060","https://openalex.org/W4319337523","https://openalex.org/W4320473675","https://openalex.org/W4366538636","https://openalex.org/W4401373370","https://openalex.org/W4412513467"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2026-03-15T00:00:00"}