Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W105040173', 'doi': 'https://doi.org/10.1007/978-1-4684-1423-3_6', 'title': 'Ordinary Differential and Difference Equations', 'display_name': 'Ordinary Differential and Difference Equations', 'publication_year': 1990, 'publication_date': '1990-01-01', 'ids': {'openalex': 'https://openalex.org/W105040173', 'doi': 'https://doi.org/10.1007/978-1-4684-1423-3_6', 'mag': '105040173'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/978-1-4684-1423-3_6', '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/A5065730565', 'display_name': 'Edward R. Benton', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I2802236040', 'display_name': 'University of Colorado System', 'ror': 'https://ror.org/00jc20583', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I2802236040']}], 'countries': ['US'], 'is_corresponding': True, 'raw_author_name': 'Edward R. Benton', 'raw_affiliation_strings': ['Univ. of Colorado'], 'affiliations': [{'raw_affiliation_string': 'Univ. of Colorado', 'institution_ids': ['https://openalex.org/I2802236040']}]}], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5065730565'], 'corresponding_institution_ids': ['https://openalex.org/I2802236040'], 'apc_list': None, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': False, 'cited_by_count': 5, 'citation_normalized_percentile': {'value': 0.738776, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 72, 'max': 74}, 'biblio': {'volume': None, 'issue': None, 'first_page': '271', 'last_page': '343'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11416', 'display_name': 'Numerical Integration Methods for Differential Equations', 'score': 0.4003, '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 Integration Methods for Differential Equations', 'score': 0.4003, '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/exponential-integrator', 'display_name': 'Exponential integrator', 'score': 0.6178324}, {'id': 'https://openalex.org/keywords/integrating-factor', 'display_name': 'Integrating factor', 'score': 0.5829307}, {'id': 'https://openalex.org/keywords/differential-equations', 'display_name': 'Differential Equations', 'score': 0.512613}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.6949623}, {'id': 'https://openalex.org/C97826883', 'wikidata': 'https://www.wikidata.org/wiki/Q7069659', 'display_name': 'Numerical partial differential equations', 'level': 3, 'score': 0.6650894}, {'id': 'https://openalex.org/C101487385', 'wikidata': 'https://www.wikidata.org/wiki/Q7451766', 'display_name': 'Separable partial differential equation', 'level': 5, 'score': 0.64055747}, {'id': 'https://openalex.org/C84629840', 'wikidata': 'https://www.wikidata.org/wiki/Q16979017', 'display_name': 'Stochastic partial differential equation', 'level': 3, 'score': 0.6189147}, {'id': 'https://openalex.org/C122700484', 'wikidata': 'https://www.wikidata.org/wiki/Q16148845', 'display_name': 'Exponential integrator', 'level': 5, 'score': 0.6178324}, {'id': 'https://openalex.org/C204854254', 'wikidata': 'https://www.wikidata.org/wiki/Q303072', 'display_name': 'Examples of differential equations', 'level': 5, 'score': 0.59512794}, {'id': 'https://openalex.org/C186219872', 'wikidata': 'https://www.wikidata.org/wiki/Q955889', 'display_name': 'Differential algebraic equation', 'level': 4, 'score': 0.58760226}, {'id': 'https://openalex.org/C163105828', 'wikidata': 'https://www.wikidata.org/wiki/Q2734005', 'display_name': 'Integrating factor', 'level': 5, 'score': 0.5829307}, {'id': 'https://openalex.org/C51544822', 'wikidata': 'https://www.wikidata.org/wiki/Q465274', 'display_name': 'Ordinary differential equation', 'level': 3, 'score': 0.5706178}, {'id': 'https://openalex.org/C2126413', 'wikidata': 'https://www.wikidata.org/wiki/Q1779479', 'display_name': 'Collocation method', 'level': 4, 'score': 0.5202347}, {'id': 'https://openalex.org/C78045399', 'wikidata': 'https://www.wikidata.org/wiki/Q11214', 'display_name': 'Differential equation', 'level': 2, 'score': 0.51774615}, {'id': 'https://openalex.org/C1164432', 'wikidata': 'https://www.wikidata.org/wiki/Q541182', 'display_name': 'Numerical methods for ordinary differential equations', 'level': 5, 'score': 0.4569481}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.4436673}, {'id': 'https://openalex.org/C93779851', 'wikidata': 'https://www.wikidata.org/wiki/Q271977', 'display_name': 'Partial differential equation', 'level': 2, 'score': 0.43019015}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/978-1-4684-1423-3_6', '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': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 30, 'referenced_works': ['https://openalex.org/W1489458348', 'https://openalex.org/W1547590019', 'https://openalex.org/W1985155727', 'https://openalex.org/W1995426250', 'https://openalex.org/W2022724749', 'https://openalex.org/W2029280682', 'https://openalex.org/W2039705559', 'https://openalex.org/W2061826427', 'https://openalex.org/W2067265108', 'https://openalex.org/W2070256701', 'https://openalex.org/W2128978199', 'https://openalex.org/W2143236448', 'https://openalex.org/W2168187826', 'https://openalex.org/W2312940325', 'https://openalex.org/W2317918038', 'https://openalex.org/W2326471877', 'https://openalex.org/W2330561109', 'https://openalex.org/W240029891', 'https://openalex.org/W2500211799', 'https://openalex.org/W2796296508', 'https://openalex.org/W2994685737', 'https://openalex.org/W3044479500', 'https://openalex.org/W3115050390', 'https://openalex.org/W3127727104', 'https://openalex.org/W3142069859', 'https://openalex.org/W3142915818', 'https://openalex.org/W42820032', 'https://openalex.org/W4299379232', 'https://openalex.org/W588274091', 'https://openalex.org/W651327257'], 'related_works': ['https://openalex.org/W647213893', 'https://openalex.org/W4320000798', 'https://openalex.org/W4297030426', 'https://openalex.org/W4292934066', 'https://openalex.org/W4253645589', 'https://openalex.org/W2332263717', 'https://openalex.org/W2240393724', 'https://openalex.org/W1498891866', 'https://openalex.org/W1193285027', 'https://openalex.org/W105040173'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W105040173', 'counts_by_year': [], 'updated_date': '2024-08-15T02:17:09.128390', 'created_date': '2016-06-24'}