{"id":"https://openalex.org/W3217512579","doi":"https://doi.org/10.1007/s10915-021-01703-9","title":"A Linear Finite Difference Scheme for the Two-Dimensional Nonlinear Schr\u00f6dinger Equation with Fractional Laplacian","display_name":"A Linear Finite Difference Scheme for the Two-Dimensional Nonlinear Schr\u00f6dinger Equation with Fractional Laplacian","publication_year":2021,"publication_date":"2021-11-26","ids":{"openalex":"https://openalex.org/W3217512579","doi":"https://doi.org/10.1007/s10915-021-01703-9","mag":"3217512579"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-021-01703-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-021-01703-9","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific 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/A5100388832","display_name":"Yanyan Wang","orcid":"https://orcid.org/0000-0003-3949-707X"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yanyan Wang","raw_affiliation_strings":["School of Mathematics, Southeast University, Nanjing, 210096, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing, 210096, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102996133","display_name":"Zhaopeng Hao","orcid":null},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhaopeng Hao","raw_affiliation_strings":["Department of Mathematics, Purdue University, West Lafayette, IN, 47907, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Purdue University, West Lafayette, IN, 47907, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000360043","display_name":"Rui Du","orcid":"https://orcid.org/0000-0002-3811-7488"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rui Du","raw_affiliation_strings":["School of Mathematics, Southeast University, Nanjing, 210096, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing, 210096, China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100388832"],"corresponding_institution_ids":["https://openalex.org/I76569877"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.7919,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.90168729,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"90","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9991999864578247,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9990000128746033,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/mathematics","display_name":"Mathematics","score":0.9126306772232056},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6146528720855713},{"id":"https://openalex.org/keywords/fractional-laplacian","display_name":"Fractional Laplacian","score":0.571967363357544},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5300022959709167},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5104595422744751},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5049241185188293},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4935201406478882},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.48989981412887573},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.450831800699234},{"id":"https://openalex.org/keywords/finite-difference-scheme","display_name":"Finite difference scheme","score":0.4379798471927643},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.42040789127349854},{"id":"https://openalex.org/keywords/schr\u00f6dinger-equation","display_name":"Schr\u00f6dinger equation","score":0.4193882942199707},{"id":"https://openalex.org/keywords/energy-method","display_name":"Energy method","score":0.41280752420425415},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40303969383239746},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09720531105995178},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06605347990989685}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9126306772232056},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6146528720855713},{"id":"https://openalex.org/C2775913539","wikidata":"https://www.wikidata.org/wiki/Q30694381","display_name":"Fractional Laplacian","level":2,"score":0.571967363357544},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5300022959709167},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5104595422744751},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5049241185188293},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4935201406478882},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.48989981412887573},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.450831800699234},{"id":"https://openalex.org/C2988766672","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference scheme","level":2,"score":0.4379798471927643},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.42040789127349854},{"id":"https://openalex.org/C63036615","wikidata":"https://www.wikidata.org/wiki/Q165498","display_name":"Schr\u00f6dinger equation","level":2,"score":0.4193882942199707},{"id":"https://openalex.org/C2989268449","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Energy method","level":2,"score":0.41280752420425415},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40303969383239746},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09720531105995178},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06605347990989685},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-021-01703-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-021-01703-9","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5310589145","display_name":null,"funder_award_id":"11602057","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1490780103","https://openalex.org/W1511883840","https://openalex.org/W1522699118","https://openalex.org/W1969929561","https://openalex.org/W1972610584","https://openalex.org/W1974670548","https://openalex.org/W1977390380","https://openalex.org/W1991925980","https://openalex.org/W1999740923","https://openalex.org/W2003202721","https://openalex.org/W2013049049","https://openalex.org/W2032578149","https://openalex.org/W2056316273","https://openalex.org/W2056601454","https://openalex.org/W2069737353","https://openalex.org/W2072536983","https://openalex.org/W2086031034","https://openalex.org/W2086574007","https://openalex.org/W2131774555","https://openalex.org/W2157599337","https://openalex.org/W2164401471","https://openalex.org/W2186626130","https://openalex.org/W2202419045","https://openalex.org/W2278928686","https://openalex.org/W2280221610","https://openalex.org/W2327218125","https://openalex.org/W2461570565","https://openalex.org/W2522468891","https://openalex.org/W2780168842","https://openalex.org/W2782480706","https://openalex.org/W2899878741","https://openalex.org/W2937908111","https://openalex.org/W2945321219","https://openalex.org/W2949569332","https://openalex.org/W2962902138","https://openalex.org/W2969234959","https://openalex.org/W2975464116","https://openalex.org/W2990398902","https://openalex.org/W3087541197","https://openalex.org/W3089652839","https://openalex.org/W3101658996","https://openalex.org/W3103004527","https://openalex.org/W3104514597","https://openalex.org/W3106538158","https://openalex.org/W3124607094","https://openalex.org/W3156688821"],"related_works":["https://openalex.org/W2495621375","https://openalex.org/W2085654163","https://openalex.org/W2983915667","https://openalex.org/W2391341148","https://openalex.org/W2372700288","https://openalex.org/W2392533133","https://openalex.org/W1520852618","https://openalex.org/W799252160","https://openalex.org/W4224293205","https://openalex.org/W2330640442"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
