{"id":"https://openalex.org/W3172267682","doi":"https://doi.org/10.1007/s11075-021-01139-0","title":"A mass- and energy-conserved DG method for the Schr\u00f6dinger-Poisson equation","display_name":"A mass- and energy-conserved DG method for the Schr\u00f6dinger-Poisson equation","publication_year":2021,"publication_date":"2021-06-08","ids":{"openalex":"https://openalex.org/W3172267682","doi":"https://doi.org/10.1007/s11075-021-01139-0","mag":"3172267682"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-021-01139-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-021-01139-0","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5020948241","display_name":"Nianyu Yi","orcid":"https://orcid.org/0000-0002-2106-8237"},"institutions":[{"id":"https://openalex.org/I4610292","display_name":"Xiangtan University","ror":"https://ror.org/00xsfaz62","country_code":"CN","type":"education","lineage":["https://openalex.org/I4610292"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Nianyu Yi","raw_affiliation_strings":["Hunan Key Laboratory for Computation and Simulation in Science and Engineering; School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, People\u2019s Republic of China","School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, People's Republic of China","Hunan Key Laboratory for Computation and Simulation in Science and Engineering"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hunan Key Laboratory for Computation and Simulation in Science and Engineering; School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4610292"]},{"raw_affiliation_string":"School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, People's Republic of China","institution_ids":["https://openalex.org/I4610292"]},{"raw_affiliation_string":"Hunan Key Laboratory for Computation and Simulation in Science and Engineering","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100713577","display_name":"Hailiang Liu","orcid":"https://orcid.org/0000-0003-3948-2150"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Hailiang Liu","raw_affiliation_strings":["Iowa State University, Mathematics Department, Ames, IA, 50011, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Iowa State University, Mathematics Department, Ames, IA, 50011, USA","institution_ids":["https://openalex.org/I173911158"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100713577"],"corresponding_institution_ids":["https://openalex.org/I173911158"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3561,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.53985537,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"89","issue":"2","first_page":"905","last_page":"930"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9998000264167786,"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9995999932289124,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.815509557723999},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7715498208999634},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7148463726043701},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.6098371148109436},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5748094916343689},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5487540364265442},{"id":"https://openalex.org/keywords/conservation-of-mass","display_name":"Conservation of mass","score":0.5225967168807983},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4954639673233032},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4218078851699829},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.42127513885498047},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.37172067165374756},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3455742299556732},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3052186369895935},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2370874285697937},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08023399114608765}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.815509557723999},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7715498208999634},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7148463726043701},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.6098371148109436},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5748094916343689},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5487540364265442},{"id":"https://openalex.org/C157206272","wikidata":"https://www.wikidata.org/wiki/Q483948","display_name":"Conservation of mass","level":2,"score":0.5225967168807983},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4954639673233032},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4218078851699829},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.42127513885498047},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.37172067165374756},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3455742299556732},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3052186369895935},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2370874285697937},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08023399114608765},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-021-01139-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-021-01139-0","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7699999809265137,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G4004975517","display_name":null,"funder_award_id":"11671341","funder_id":"https://openalex.org/F4320333688","funder_display_name":"National Outstanding Youth Science Fund Project of National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320333688","display_name":"National Outstanding Youth Science Fund Project of National Natural Science Foundation of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W348555340","https://openalex.org/W655106915","https://openalex.org/W1491869423","https://openalex.org/W1528562574","https://openalex.org/W1583515859","https://openalex.org/W1966031982","https://openalex.org/W1975036160","https://openalex.org/W1981764215","https://openalex.org/W1985640971","https://openalex.org/W1994936111","https://openalex.org/W1995080413","https://openalex.org/W1998657663","https://openalex.org/W2029725158","https://openalex.org/W2029830616","https://openalex.org/W2046134068","https://openalex.org/W2050338742","https://openalex.org/W2051952162","https://openalex.org/W2054766104","https://openalex.org/W2061420522","https://openalex.org/W2070781491","https://openalex.org/W2075446291","https://openalex.org/W2080637487","https://openalex.org/W2085919454","https://openalex.org/W2092400970","https://openalex.org/W2124249734","https://openalex.org/W2124612352","https://openalex.org/W2127031753","https://openalex.org/W2130350269","https://openalex.org/W2131774555","https://openalex.org/W2161675745","https://openalex.org/W2325849220","https://openalex.org/W2415471936","https://openalex.org/W2525864047","https://openalex.org/W2757289526","https://openalex.org/W2791420006","https://openalex.org/W2794609082","https://openalex.org/W2795575597","https://openalex.org/W2808330254","https://openalex.org/W2962472295","https://openalex.org/W2969496403","https://openalex.org/W2995128949","https://openalex.org/W3101835573","https://openalex.org/W3103467110","https://openalex.org/W3104136857","https://openalex.org/W4233665781","https://openalex.org/W4251197584"],"related_works":["https://openalex.org/W2726528067","https://openalex.org/W2129573473","https://openalex.org/W169136837","https://openalex.org/W2380255313","https://openalex.org/W2952149072","https://openalex.org/W2154700905","https://openalex.org/W1488888950","https://openalex.org/W10626200","https://openalex.org/W4254835514","https://openalex.org/W4240700198"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}
