{"id":"https://openalex.org/W2803000044","doi":"https://doi.org/10.1007/s10915-018-0708-8","title":"On the Conservation of Fractional Nonlinear Schr\u00f6dinger Equation\u2019s Invariants by the Local Discontinuous Galerkin Method","display_name":"On the Conservation of Fractional Nonlinear Schr\u00f6dinger Equation\u2019s Invariants by the Local Discontinuous Galerkin Method","publication_year":2018,"publication_date":"2018-04-17","ids":{"openalex":"https://openalex.org/W2803000044","doi":"https://doi.org/10.1007/s10915-018-0708-8","mag":"2803000044"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-018-0708-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-018-0708-8","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/A5064580355","display_name":"Paul Castillo","orcid":"https://orcid.org/0000-0001-7148-6333"},"institutions":[{"id":"https://openalex.org/I60388903","display_name":"University of Puerto Rico-Mayaguez","ror":"https://ror.org/00wek6x04","country_code":"PR","type":"education","lineage":["https://openalex.org/I200399037","https://openalex.org/I60388903"]}],"countries":["PR"],"is_corresponding":true,"raw_author_name":"P. Castillo","raw_affiliation_strings":["Department of Mathematical Sciences, University of Puerto Rico, Mayag\u00fcez, 00681, Puerto Rico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Puerto Rico, Mayag\u00fcez, 00681, Puerto Rico","institution_ids":["https://openalex.org/I60388903"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046924251","display_name":"Sergio G\u00f3mez","orcid":"https://orcid.org/0000-0001-9156-5135"},"institutions":[{"id":"https://openalex.org/I60388903","display_name":"University of Puerto Rico-Mayaguez","ror":"https://ror.org/00wek6x04","country_code":"PR","type":"education","lineage":["https://openalex.org/I200399037","https://openalex.org/I60388903"]}],"countries":["PR"],"is_corresponding":false,"raw_author_name":"S. G\u00f3mez","raw_affiliation_strings":["Department of Mathematical Sciences, University of Puerto Rico, Mayag\u00fcez, 00681, Puerto Rico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Puerto Rico, Mayag\u00fcez, 00681, Puerto Rico","institution_ids":["https://openalex.org/I60388903"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5064580355"],"corresponding_institution_ids":["https://openalex.org/I60388903"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":7.2786,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.98033484,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"77","issue":"3","first_page":"1444","last_page":"1467"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9998999834060669,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9998999834060669,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9995999932289124,"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/mathematics","display_name":"Mathematics","score":0.9032340049743652},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6103203296661377},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5432682037353516},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5163465738296509},{"id":"https://openalex.org/keywords/schr\u00f6dinger-equation","display_name":"Schr\u00f6dinger equation","score":0.5073520541191101},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.4617782533168793},{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.4479939341545105},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4475921094417572},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.4385179579257965},{"id":"https://openalex.org/keywords/midpoint","display_name":"Midpoint","score":0.4378671646118164},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4204687476158142},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.14457160234451294},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11393764615058899},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.10236358642578125},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06588450074195862}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9032340049743652},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6103203296661377},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5432682037353516},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5163465738296509},{"id":"https://openalex.org/C63036615","wikidata":"https://www.wikidata.org/wiki/Q165498","display_name":"Schr\u00f6dinger equation","level":2,"score":0.5073520541191101},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.4617782533168793},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.4479939341545105},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4475921094417572},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.4385179579257965},{"id":"https://openalex.org/C34130140","wikidata":"https://www.wikidata.org/wiki/Q1645406","display_name":"Midpoint","level":2,"score":0.4378671646118164},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4204687476158142},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.14457160234451294},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11393764615058899},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.10236358642578125},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06588450074195862},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10915-018-0708-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-018-0708-8","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"},{"id":"pmh:oai:boa.unimib.it:10281/442751","is_oa":false,"landing_page_url":"https://hdl.handle.net/10281/442751","pdf_url":null,"source":{"id":"https://openalex.org/S4306401259","display_name":"BOA (University of Milano-Bicocca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","score":0.5299999713897705,"id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W6303485","https://openalex.org/W1708785370","https://openalex.org/W1968106586","https://openalex.org/W1968430750","https://openalex.org/W1972140872","https://openalex.org/W1972610584","https://openalex.org/W1973279410","https://openalex.org/W1977390380","https://openalex.org/W1987826592","https://openalex.org/W1988322580","https://openalex.org/W1988507032","https://openalex.org/W1991925980","https://openalex.org/W1992147072","https://openalex.org/W2008456540","https://openalex.org/W2012938047","https://openalex.org/W2023647364","https://openalex.org/W2029725158","https://openalex.org/W2041458840","https://openalex.org/W2046134068","https://openalex.org/W2056316273","https://openalex.org/W2058992888","https://openalex.org/W2063721225","https://openalex.org/W2064342666","https://openalex.org/W2069036386","https://openalex.org/W2086031034","https://openalex.org/W2104736025","https://openalex.org/W2124303144","https://openalex.org/W2130350269","https://openalex.org/W2131774555","https://openalex.org/W2144367930","https://openalex.org/W2259227674","https://openalex.org/W2280221610","https://openalex.org/W2344917336","https://openalex.org/W2461570565","https://openalex.org/W2522468891","https://openalex.org/W2562874578","https://openalex.org/W2586302603","https://openalex.org/W2589438384","https://openalex.org/W2607305877","https://openalex.org/W2759330125","https://openalex.org/W2782480706","https://openalex.org/W6602276979"],"related_works":["https://openalex.org/W2368520543","https://openalex.org/W3091779247","https://openalex.org/W2726528067","https://openalex.org/W2129573473","https://openalex.org/W2380255313","https://openalex.org/W2952149072","https://openalex.org/W2154700905","https://openalex.org/W2162026849","https://openalex.org/W2394687667","https://openalex.org/W2887215440"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}