Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W4309930262', 'doi': 'https://doi.org/10.1016/j.cam.2022.114964', 'title': 'The tri-coloured free-tree theory for symplectic multi-frequency ERKN methods', 'display_name': 'The tri-coloured free-tree theory for symplectic multi-frequency ERKN methods', 'publication_year': 2022, 'publication_date': '2022-11-24', 'ids': {'openalex': 'https://openalex.org/W4309930262', 'doi': 'https://doi.org/10.1016/j.cam.2022.114964'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1016/j.cam.2022.114964', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S165473669', 'display_name': 'Journal of Computational and Applied Mathematics', 'issn_l': '0377-0427', 'issn': ['0377-0427', '1879-1778'], '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': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5101592336', 'display_name': 'Hongli Yang', 'orcid': 'https://orcid.org/0000-0003-2972-2317'}, 'institutions': [{'id': 'https://openalex.org/I2799736854', 'display_name': 'Nanjing Institute of Technology', 'ror': 'https://ror.org/00n6txq60', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I2799736854']}], 'countries': ['CN'], 'is_corresponding': True, 'raw_author_name': 'Hongli Yang', 'raw_affiliation_strings': ['School of Mathematics and Physics, Nanjing Institute of Technology, Nanjing, PR China'], 'affiliations': [{'raw_affiliation_string': 'School of Mathematics and Physics, Nanjing Institute of Technology, Nanjing, PR China', 'institution_ids': ['https://openalex.org/I2799736854']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5072679870', 'display_name': 'Xianyang Zeng', 'orcid': 'https://orcid.org/0000-0003-3948-173X'}, 'institutions': [{'id': 'https://openalex.org/I2799736854', 'display_name': 'Nanjing Institute of Technology', 'ror': 'https://ror.org/00n6txq60', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I2799736854']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Xianyang Zeng', 'raw_affiliation_strings': ['Industrial Center, Nanjing Institute of Technology, Nanjing, PR China'], 'affiliations': [{'raw_affiliation_string': 'Industrial Center, Nanjing Institute of Technology, Nanjing, PR China', 'institution_ids': ['https://openalex.org/I2799736854']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5101592336'], 'corresponding_institution_ids': ['https://openalex.org/I2799736854'], 'apc_list': {'value': 3040, 'currency': 'USD', 'value_usd': 3040, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 0.388, 'has_fulltext': False, 'cited_by_count': 1, 'citation_normalized_percentile': {'value': 0.466447, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 60, 'max': 70}, 'biblio': {'volume': '423', 'issue': None, 'first_page': '114964', 'last_page': '114964'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11416', 'display_name': 'Numerical methods for differential equations', 'score': 0.9999, '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': 0.9999, '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': 0.993, '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/T11206', 'display_name': 'Model Reduction and Neural Networks', 'score': 0.9927, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/symplectic-integrator', 'display_name': 'Symplectic integrator', 'score': 0.6979948}, {'id': 'https://openalex.org/keywords/symplectomorphism', 'display_name': 'Symplectomorphism', 'score': 0.6324462}, {'id': 'https://openalex.org/keywords/symplectic-vector-space', 'display_name': 'Symplectic vector space', 'score': 0.6240696}, {'id': 'https://openalex.org/keywords/symplectic-group', 'display_name': 'Symplectic group', 'score': 0.57872885}, {'id': 'https://openalex.org/keywords/hamiltonian', 'display_name': 'Hamiltonian (control theory)', 'score': 0.46987894}, {'id': 'https://openalex.org/keywords/symplectic-matrix', 'display_name': 'Symplectic matrix', 'score': 0.4681027}], 'concepts': [{'id': 'https://openalex.org/C168619227', 'wikidata': 'https://www.wikidata.org/wiki/Q2190991', 'display_name': 'Symplectic geometry', 'level': 2, 'score': 0.92249954}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.79147196}, {'id': 'https://openalex.org/C207646825', 'wikidata': 'https://www.wikidata.org/wiki/Q7661847', 'display_name': 'Symplectic integrator', 'level': 4, 'score': 0.6979948}, {'id': 'https://openalex.org/C104586451', 'wikidata': 'https://www.wikidata.org/wiki/Q771008', 'display_name': 'Symplectic representation', 'level': 4, 'score': 0.6744865}, {'id': 'https://openalex.org/C135661100', 'wikidata': 'https://www.wikidata.org/wiki/Q1049064', 'display_name': 'Symplectomorphism', 'level': 3, 'score': 0.6324462}, {'id': 'https://openalex.org/C125849494', 'wikidata': 'https://www.wikidata.org/wiki/Q766774', 'display_name': 'Symplectic vector space', 'level': 5, 'score': 0.6240696}, {'id': 'https://openalex.org/C175322374', 'wikidata': 'https://www.wikidata.org/wiki/Q936434', 'display_name': 'Symplectic group', 'level': 3, 'score': 0.57872885}, {'id': 'https://openalex.org/C121770821', 'wikidata': 'https://www.wikidata.org/wiki/Q2072471', 'display_name': 'Hamiltonian system', 'level': 2, 'score': 0.524187}, {'id': 'https://openalex.org/C130787639', 'wikidata': 'https://www.wikidata.org/wiki/Q5645293', 'display_name': 'Hamiltonian (control theory)', 'level': 2, 'score': 0.46987894}, {'id': 'https://openalex.org/C130190758', 'wikidata': 'https://www.wikidata.org/wiki/Q1064500', 'display_name': 'Symplectic manifold', 'level': 3, 'score': 0.4698203}, {'id': 'https://openalex.org/C185535465', 'wikidata': 'https://www.wikidata.org/wiki/Q2705070', 'display_name': 'Symplectic matrix', 'level': 5, 'score': 0.4681027}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.44087592}, {'id': 'https://openalex.org/C9376300', 'wikidata': 'https://www.wikidata.org/wiki/Q168817', 'display_name': 'Algebraic number', 'level': 2, 'score': 0.42654622}, {'id': 'https://openalex.org/C40265840', 'wikidata': 'https://www.wikidata.org/wiki/Q6897118', 'display_name': 'Moment map', 'level': 3, 'score': 0.42238876}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.41087633}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.4015031}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.34961665}, {'id': 'https://openalex.org/C126255220', 'wikidata': 'https://www.wikidata.org/wiki/Q141495', 'display_name': 'Mathematical optimization', 'level': 1, 'score': 0.16383463}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1016/j.cam.2022.114964', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S165473669', 'display_name': 'Journal of Computational and Applied Mathematics', 'issn_l': '0377-0427', 'issn': ['0377-0427', '1879-1778'], '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': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 43, 'referenced_works': ['https://openalex.org/W1544770838', 'https://openalex.org/W1966078277', 'https://openalex.org/W1967101997', 'https://openalex.org/W1971500193', 'https://openalex.org/W1981275553', 'https://openalex.org/W1986367849', 'https://openalex.org/W1989947528', 'https://openalex.org/W1998953164', 'https://openalex.org/W2000457254', 'https://openalex.org/W2002066913', 'https://openalex.org/W2005490610', 'https://openalex.org/W2007108217', 'https://openalex.org/W2024414698', 'https://openalex.org/W2032405498', 'https://openalex.org/W2034818758', 'https://openalex.org/W2040409729', 'https://openalex.org/W2041564428', 'https://openalex.org/W2049431512', 'https://openalex.org/W2058486250', 'https://openalex.org/W2060042054', 'https://openalex.org/W2062339335', 'https://openalex.org/W2062666738', 'https://openalex.org/W2062850938', 'https://openalex.org/W2065134448', 'https://openalex.org/W2070453593', 'https://openalex.org/W2071327703', 'https://openalex.org/W2073662751', 'https://openalex.org/W2074980493', 'https://openalex.org/W2081801878', 'https://openalex.org/W2082199698', 'https://openalex.org/W2085205285', 'https://openalex.org/W2090690453', 'https://openalex.org/W2094679876', 'https://openalex.org/W2116724366', 'https://openalex.org/W2164727697', 'https://openalex.org/W2170800503', 'https://openalex.org/W2313019243', 'https://openalex.org/W2482950330', 'https://openalex.org/W2549943168', 'https://openalex.org/W2588783000', 'https://openalex.org/W3204348208', 'https://openalex.org/W4244326641', 'https://openalex.org/W4300033234'], 'related_works': ['https://openalex.org/W4309930262', 'https://openalex.org/W4230855783', 'https://openalex.org/W2995158377', 'https://openalex.org/W2359381322', 'https://openalex.org/W2098447220', 'https://openalex.org/W2076925422', 'https://openalex.org/W2050141483', 'https://openalex.org/W1972672132', 'https://openalex.org/W17130399', 'https://openalex.org/W101992021'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W4309930262', 'counts_by_year': [{'year': 2023, 'cited_by_count': 1}], 'updated_date': '2024-12-14T00:51:53.043394', 'created_date': '2022-11-30'}