Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W13624992', 'doi': 'https://doi.org/10.1007/978-3-540-75712-2_2', 'title': 'On Approximations for Overdetermined Hyperbolic Equations', 'display_name': 'On Approximations for Overdetermined Hyperbolic Equations', 'publication_year': 2008, 'publication_date': '2008-01-01', 'ids': {'openalex': 'https://openalex.org/W13624992', 'doi': 'https://doi.org/10.1007/978-3-540-75712-2_2', 'mag': '13624992'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/978-3-540-75712-2_2', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306463937', 'display_name': 'Springer eBooks', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310319965', 'host_organization_name': 'Springer Nature', 'host_organization_lineage': ['https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Springer Nature'], 'type': 'ebook platform'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'book-chapter', 'type_crossref': 'book-chapter', '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/A5085488707', 'display_name': 'С. К. Годунов', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I4210127387', 'display_name': 'Siberian Branch of the Russian Academy of Sciences', 'ror': 'https://ror.org/02frkq021', 'country_code': 'RU', 'type': 'government', 'lineage': ['https://openalex.org/I1313323035', 'https://openalex.org/I4210127387']}, {'id': 'https://openalex.org/I4210096862', 'display_name': 'Sobolev Institute of Mathematics', 'ror': 'https://ror.org/00shc0s02', 'country_code': 'RU', 'type': 'facility', 'lineage': ['https://openalex.org/I1313323035', 'https://openalex.org/I4210096862', 'https://openalex.org/I4210124601', 'https://openalex.org/I4210127387']}], 'countries': ['RU'], 'is_corresponding': True, 'raw_author_name': 'S. K. Godunov', 'raw_affiliation_strings': ['Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Acad. Koptyug av., 4, Novosibisk, 630090, Russia'], 'affiliations': [{'raw_affiliation_string': 'Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Acad. Koptyug av., 4, Novosibisk, 630090, Russia', 'institution_ids': ['https://openalex.org/I4210127387', 'https://openalex.org/I4210096862']}]}], 'countries_distinct_count': 1, 'institutions_distinct_count': 2, 'corresponding_author_ids': ['https://openalex.org/A5085488707'], 'corresponding_institution_ids': ['https://openalex.org/I4210127387', 'https://openalex.org/I4210096862'], 'apc_list': None, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': False, 'cited_by_count': 4, 'citation_normalized_percentile': {'value': 0.811341, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 77, 'max': 78}, 'biblio': {'volume': None, 'issue': None, 'first_page': '19', 'last_page': '33'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12589', 'display_name': 'Nonlocal Partial Differential Equations and Boundary Value Problems', 'score': 0.9556, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, '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/T12589', 'display_name': 'Nonlocal Partial Differential Equations and Boundary Value Problems', 'score': 0.9556, 'subfield': {'id': 'https://openalex.org/subfields/2604', 'display_name': 'Applied Mathematics'}, '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/T12727', 'display_name': 'Numerical Methods for Singularly Perturbed Problems', 'score': 0.9308, '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/T13234', 'display_name': 'p-adic Models in Mathematical Physics', 'score': 0.927, 'subfield': {'id': 'https://openalex.org/subfields/2610', 'display_name': 'Mathematical Physics'}, '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/overdetermined-system', 'display_name': 'Overdetermined system', 'score': 0.9964341}, {'id': 'https://openalex.org/keywords/independent-equation', 'display_name': 'Independent equation', 'score': 0.66146624}, {'id': 'https://openalex.org/keywords/hyperbolic-equations', 'display_name': 'Hyperbolic Equations', 'score': 0.614845}, {'id': 'https://openalex.org/keywords/parabolic-equations', 'display_name': 'Parabolic Equations', 'score': 0.533428}, {'id': 'https://openalex.org/keywords/underdetermined-system', 'display_name': 'Underdetermined system', 'score': 0.5237025}], 'concepts': [{'id': 'https://openalex.org/C81901731', 'wikidata': 'https://www.wikidata.org/wiki/Q331348', 'display_name': 'Overdetermined system', 'level': 2, 'score': 0.9964341}, {'id': 'https://openalex.org/C170036204', 'wikidata': 'https://www.wikidata.org/wiki/Q735660', 'display_name': 'Simultaneous equations', 'level': 3, 'score': 0.69081193}, {'id': 'https://openalex.org/C200602138', 'wikidata': 'https://www.wikidata.org/wiki/Q16979193', 'display_name': 'Independent equation', 'level': 3, 'score': 0.66146624}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.6239503}, {'id': 'https://openalex.org/C38409319', 'wikidata': 'https://www.wikidata.org/wiki/Q375175', 'display_name': 'Euler equations', 'level': 2, 'score': 0.52679306}, {'id': 'https://openalex.org/C179690561', 'wikidata': 'https://www.wikidata.org/wiki/Q4316110', 'display_name': 'Underdetermined system', 'level': 2, 'score': 0.5237025}, {'id': 'https://openalex.org/C94523830', 'wikidata': 'https://www.wikidata.org/wiki/Q11203', 'display_name': 'System of linear equations', 'level': 2, 'score': 0.49969673}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.4493032}, {'id': 'https://openalex.org/C59282198', 'wikidata': 'https://www.wikidata.org/wiki/Q51501', 'display_name': "Maxwell's equations", 'level': 2, 'score': 0.44327492}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.4372147}, {'id': 'https://openalex.org/C93779851', 'wikidata': 'https://www.wikidata.org/wiki/Q271977', 'display_name': 'Partial differential equation', 'level': 2, 'score': 0.21043354}, {'id': 'https://openalex.org/C78045399', 'wikidata': 'https://www.wikidata.org/wiki/Q11214', 'display_name': 'Differential equation', 'level': 2, 'score': 0.19487932}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.06388989}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/978-3-540-75712-2_2', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306463937', 'display_name': 'Springer eBooks', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310319965', 'host_organization_name': 'Springer Nature', 'host_organization_lineage': ['https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Springer Nature'], 'type': 'ebook platform'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [{'id': 'https://metadata.un.org/sdg/10', 'display_name': 'Reduced inequalities', 'score': 0.51}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 6, 'referenced_works': ['https://openalex.org/W14518806', 'https://openalex.org/W1639168386', 'https://openalex.org/W188578424', 'https://openalex.org/W2011367792', 'https://openalex.org/W2046618992', 'https://openalex.org/W2083806913'], 'related_works': ['https://openalex.org/W69674019', 'https://openalex.org/W4382519919', 'https://openalex.org/W4382516418', 'https://openalex.org/W4293388868', 'https://openalex.org/W3164454687', 'https://openalex.org/W2624178518', 'https://openalex.org/W1853318468', 'https://openalex.org/W1665780361', 'https://openalex.org/W1606159504', 'https://openalex.org/W153415882'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W13624992', 'counts_by_year': [{'year': 2019, 'cited_by_count': 1}, {'year': 2015, 'cited_by_count': 2}, {'year': 2013, 'cited_by_count': 1}], 'updated_date': '2024-09-12T19:24:35.020815', 'created_date': '2016-06-24'}