Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W1224802987', 'doi': 'https://doi.org/10.1007/bf01386093', 'title': 'A general formulation of alternating direction methods', 'display_name': 'A general formulation of alternating direction methods', 'publication_year': 1964, 'publication_date': '1964-12-01', 'ids': {'openalex': 'https://openalex.org/W1224802987', 'doi': 'https://doi.org/10.1007/bf01386093', 'mag': '1224802987'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/bf01386093', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210205683', 'display_name': 'Numerische Mathematik', 'issn_l': '0029-599X', 'issn': ['0029-599X', '0945-3245'], '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/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], '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/A5078525260', 'display_name': 'Jim Douglas', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I74775410', 'display_name': 'Rice University', 'ror': 'https://ror.org/008zs3103', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I74775410']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Jim Douglas', 'raw_affiliation_strings': ['Department of Mathematics, Rice University, Houston, Texas, (USA)'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, Rice University, Houston, Texas, (USA)', 'institution_ids': ['https://openalex.org/I74775410']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5056349090', 'display_name': 'James E. Gunn', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I74775410', 'display_name': 'Rice University', 'ror': 'https://ror.org/008zs3103', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I74775410']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'James E. Gunn', 'raw_affiliation_strings': ['Department of Mathematics, Rice University, Houston, Texas, (USA)'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, Rice University, Houston, Texas, (USA)', 'institution_ids': ['https://openalex.org/I74775410']}]}], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 2390, 'currency': 'EUR', 'value_usd': 2990, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 2.477, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 704, 'citation_normalized_percentile': {'value': 0.99154, 'is_in_top_1_percent': True, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 99, 'max': 100}, 'biblio': {'volume': '6', 'issue': '1', 'first_page': '428', 'last_page': '453'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11206', 'display_name': 'Physics-Informed Neural Networks for Scientific Computing', 'score': 0.9983, '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/T11206', 'display_name': 'Physics-Informed Neural Networks for Scientific Computing', 'score': 0.9983, '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/T10514', 'display_name': 'Fracture Mechanics Modeling and Simulation', 'score': 0.9982, 'subfield': {'id': 'https://openalex.org/subfields/2211', 'display_name': 'Mechanics of Materials'}, '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/T10822', 'display_name': 'Acoustic Metamaterials and Phononic Crystals', 'score': 0.9979, 'subfield': {'id': 'https://openalex.org/subfields/2204', 'display_name': 'Biomedical Engineering'}, '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/partial-differential-equations', 'display_name': 'Partial Differential Equations', 'score': 0.58135}, {'id': 'https://openalex.org/keywords/meshless-methods', 'display_name': 'Meshless Methods', 'score': 0.571335}, {'id': 'https://openalex.org/keywords/nonlinear-systems', 'display_name': 'Nonlinear Systems', 'score': 0.56112}, {'id': 'https://openalex.org/keywords/inverse-problems', 'display_name': 'Inverse Problems', 'score': 0.547795}, {'id': 'https://openalex.org/keywords/extended-finite-element-method', 'display_name': 'Extended Finite Element Method', 'score': 0.534449}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.80535996}, {'id': 'https://openalex.org/C48753275', 'wikidata': 'https://www.wikidata.org/wiki/Q11216', 'display_name': 'Numerical analysis', 'level': 2, 'score': 0.64542943}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.43395218}, {'id': 'https://openalex.org/C142363948', 'wikidata': 'https://www.wikidata.org/wiki/Q4736413', 'display_name': 'Alternating direction implicit method', 'level': 3, 'score': 0.41270882}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.37048203}, {'id': 'https://openalex.org/C205951836', 'wikidata': 'https://www.wikidata.org/wiki/Q1147751', 'display_name': 'Finite difference method', 'level': 2, 'score': 0.19758591}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/bf01386093', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210205683', 'display_name': 'Numerische Mathematik', 'issn_l': '0029-599X', 'issn': ['0029-599X', '0945-3245'], '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/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], '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': 18, 'referenced_works': ['https://openalex.org/W1496387687', 'https://openalex.org/W1967369048', 'https://openalex.org/W1977417051', 'https://openalex.org/W1978135458', 'https://openalex.org/W1983078963', 'https://openalex.org/W1984093749', 'https://openalex.org/W1995537275', 'https://openalex.org/W2003372231', 'https://openalex.org/W2006256206', 'https://openalex.org/W2043857934', 'https://openalex.org/W2054584012', 'https://openalex.org/W2065330829', 'https://openalex.org/W2067661626', 'https://openalex.org/W2095036901', 'https://openalex.org/W2169273791', 'https://openalex.org/W3081847346', 'https://openalex.org/W3174910057', 'https://openalex.org/W95289213'], 'related_works': ['https://openalex.org/W4285308861', 'https://openalex.org/W4245490552', 'https://openalex.org/W4225152035', 'https://openalex.org/W3193883710', 'https://openalex.org/W3002753104', 'https://openalex.org/W2061531152', 'https://openalex.org/W2054971886', 'https://openalex.org/W2007980826', 'https://openalex.org/W1984317560', 'https://openalex.org/W1979597421'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1224802987', 'counts_by_year': [{'year': 2024, 'cited_by_count': 9}, {'year': 2023, 'cited_by_count': 13}, {'year': 2022, 'cited_by_count': 17}, {'year': 2021, 'cited_by_count': 20}, {'year': 2020, 'cited_by_count': 16}, {'year': 2019, 'cited_by_count': 20}, {'year': 2018, 'cited_by_count': 17}, {'year': 2017, 'cited_by_count': 21}, {'year': 2016, 'cited_by_count': 23}, {'year': 2015, 'cited_by_count': 16}, {'year': 2014, 'cited_by_count': 19}, {'year': 2013, 'cited_by_count': 26}, {'year': 2012, 'cited_by_count': 20}], 'updated_date': '2024-08-31T12:35:17.940668', 'created_date': '2016-06-24'}