Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2940743878', 'doi': 'https://doi.org/10.1007/s41478-019-00175-3', 'title': 'Legendre spectral projection methods for weakly singular Hammerstein integral equations of mixed type', 'display_name': 'Legendre spectral projection methods for weakly singular Hammerstein integral equations of mixed type', 'publication_year': 2019, 'publication_date': '2019-04-26', 'ids': {'openalex': 'https://openalex.org/W2940743878', 'doi': 'https://doi.org/10.1007/s41478-019-00175-3', 'mag': '2940743878'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s41478-019-00175-3', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210221126', 'display_name': 'The Journal of Analysis', 'issn_l': '0971-3611', 'issn': ['0971-3611'], '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/A5031023932', 'display_name': 'Subhashree Patel', 'orcid': 'https://orcid.org/0000-0001-5064-2923'}, 'institutions': [{'id': 'https://openalex.org/I112754052', 'display_name': 'Sambalpur University', 'ror': 'https://ror.org/04s222234', 'country_code': 'IN', 'type': 'education', 'lineage': ['https://openalex.org/I112754052']}], 'countries': ['IN'], 'is_corresponding': False, 'raw_author_name': 'Subhashree Patel', 'raw_affiliation_strings': ['Department of Mathematics, Sambalpur University, Odisha, 768019, India'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, Sambalpur University, Odisha, 768019, India', 'institution_ids': ['https://openalex.org/I112754052']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5009730057', 'display_name': 'Bijaya Laxmi Panigrahi', 'orcid': 'https://orcid.org/0000-0001-5512-3807'}, 'institutions': [{'id': 'https://openalex.org/I112754052', 'display_name': 'Sambalpur University', 'ror': 'https://ror.org/04s222234', 'country_code': 'IN', 'type': 'education', 'lineage': ['https://openalex.org/I112754052']}], 'countries': ['IN'], 'is_corresponding': False, 'raw_author_name': 'Bijaya Laxmi Panigrahi', 'raw_affiliation_strings': ['Department of Mathematics, Sambalpur University, Odisha, 768019, India'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, Sambalpur University, Odisha, 768019, India', 'institution_ids': ['https://openalex.org/I112754052']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 2790, 'currency': 'EUR', 'value_usd': 3590, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 0.233, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 2, 'citation_normalized_percentile': {'value': 0.476942, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 70, 'max': 75}, 'biblio': {'volume': '28', 'issue': '2', 'first_page': '387', 'last_page': '413'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10739', 'display_name': 'Electromagnetic Scattering with Integral Equations', 'score': 0.9951, 'subfield': {'id': 'https://openalex.org/subfields/3107', 'display_name': 'Atomic and Molecular Physics, and Optics'}, '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/T10739', 'display_name': 'Electromagnetic Scattering with Integral Equations', 'score': 0.9951, 'subfield': {'id': 'https://openalex.org/subfields/3107', 'display_name': 'Atomic and Molecular Physics, and Optics'}, '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/T10288', 'display_name': 'Anomalous Diffusion Modeling and Analysis', 'score': 0.9948, 'subfield': {'id': 'https://openalex.org/subfields/2611', 'display_name': 'Modeling and Simulation'}, '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/T11191', 'display_name': 'Orthogonal Polynomials', 'score': 0.9935, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/iterated-function', 'display_name': 'Iterated function', 'score': 0.5851123}, {'id': 'https://openalex.org/keywords/integral-equation-methods', 'display_name': 'Integral Equation Methods', 'score': 0.567618}, {'id': 'https://openalex.org/keywords/quadrature-methods', 'display_name': 'Quadrature Methods', 'score': 0.534988}, {'id': 'https://openalex.org/keywords/surface-integral-equations', 'display_name': 'Surface Integral Equations', 'score': 0.519976}, {'id': 'https://openalex.org/keywords/approximation', 'display_name': 'Approximation', 'score': 0.517966}, {'id': 'https://openalex.org/keywords/legendre-wavelet', 'display_name': 'Legendre wavelet', 'score': 0.5152612}, {'id': 'https://openalex.org/keywords/hypergeometric-functions', 'display_name': 'Hypergeometric Functions', 'score': 0.50141}, {'id': 'https://openalex.org/keywords/spectral-method', 'display_name': 'Spectral method', 'score': 0.464045}], 'concepts': [{'id': 'https://openalex.org/C111458787', 'wikidata': 'https://www.wikidata.org/wiki/Q215405', 'display_name': 'Legendre polynomials', 'level': 2, 'score': 0.89020675}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8132256}, {'id': 'https://openalex.org/C186899397', 'wikidata': 'https://www.wikidata.org/wiki/Q1491980', 'display_name': 'Galerkin method', 'level': 3, 'score': 0.7602097}, {'id': 'https://openalex.org/C140479938', 'wikidata': 'https://www.wikidata.org/wiki/Q5254619', 'display_name': 'Iterated function', 'level': 2, 'score': 0.5851123}, {'id': 'https://openalex.org/C92244383', 'wikidata': 'https://www.wikidata.org/wiki/Q428273', 'display_name': 'Discontinuous Galerkin method', 'level': 3, 'score': 0.5275236}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.5204999}, {'id': 'https://openalex.org/C123769847', 'wikidata': 'https://www.wikidata.org/wiki/Q6517888', 'display_name': 'Legendre wavelet', 'level': 5, 'score': 0.5152612}, {'id': 'https://openalex.org/C86287605', 'wikidata': 'https://www.wikidata.org/wiki/Q4454970', 'display_name': "Legendre's equation", 'level': 3, 'score': 0.4664008}, {'id': 'https://openalex.org/C23463724', 'wikidata': 'https://www.wikidata.org/wiki/Q2308831', 'display_name': 'Spectral method', 'level': 2, 'score': 0.464045}, {'id': 'https://openalex.org/C38961997', 'wikidata': 'https://www.wikidata.org/wiki/Q7575186', 'display_name': 'Spectral element method', 'level': 4, 'score': 0.463731}, {'id': 'https://openalex.org/C57493831', 'wikidata': 'https://www.wikidata.org/wiki/Q3134666', 'display_name': 'Projection (relational algebra)', 'level': 2, 'score': 0.4449185}, {'id': 'https://openalex.org/C191795146', 'wikidata': 'https://www.wikidata.org/wiki/Q3878446', 'display_name': 'Norm (philosophy)', 'level': 2, 'score': 0.44092155}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.42549264}, {'id': 'https://openalex.org/C135628077', 'wikidata': 'https://www.wikidata.org/wiki/Q220184', 'display_name': 'Finite element method', 'level': 2, 'score': 0.16830567}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.072472304}, {'id': 'https://openalex.org/C144468803', 'wikidata': 'https://www.wikidata.org/wiki/Q16965966', 'display_name': 'Mixed finite element method', 'level': 3, 'score': 0.06684181}, {'id': 'https://openalex.org/C11413529', 'wikidata': 'https://www.wikidata.org/wiki/Q8366', 'display_name': 'Algorithm', 'level': 1, 'score': 0.06045568}, {'id': 'https://openalex.org/C46286280', 'wikidata': 'https://www.wikidata.org/wiki/Q2414958', 'display_name': 'Discrete wavelet transform', 'level': 4, 'score': 0.0}, {'id': 'https://openalex.org/C196216189', 'wikidata': 'https://www.wikidata.org/wiki/Q2867', 'display_name': 'Wavelet transform', 'level': 3, 'score': 0.0}, {'id': 'https://openalex.org/C154945302', 'wikidata': 'https://www.wikidata.org/wiki/Q11660', 'display_name': 'Artificial intelligence', 'level': 1, 'score': 0.0}, {'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/C17744445', 'wikidata': 'https://www.wikidata.org/wiki/Q36442', 'display_name': 'Political science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C47432892', 'wikidata': 'https://www.wikidata.org/wiki/Q831390', 'display_name': 'Wavelet', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C199539241', 'wikidata': 'https://www.wikidata.org/wiki/Q7748', 'display_name': 'Law', '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}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s41478-019-00175-3', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210221126', 'display_name': 'The Journal of Analysis', 'issn_l': '0971-3611', 'issn': ['0971-3611'], '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': 20, 'referenced_works': ['https://openalex.org/W1982949943', 'https://openalex.org/W1990918279', 'https://openalex.org/W1996890002', 'https://openalex.org/W2001794693', 'https://openalex.org/W2002149056', 'https://openalex.org/W2009741968', 'https://openalex.org/W2014208709', 'https://openalex.org/W2014837168', 'https://openalex.org/W2025714698', 'https://openalex.org/W2031567600', 'https://openalex.org/W2059592520', 'https://openalex.org/W2067027858', 'https://openalex.org/W2290022788', 'https://openalex.org/W2567196668', 'https://openalex.org/W2759011690', 'https://openalex.org/W2790892534', 'https://openalex.org/W2888768349', 'https://openalex.org/W2900161647', 'https://openalex.org/W4247375400', 'https://openalex.org/W614581382'], 'related_works': ['https://openalex.org/W4296546724', 'https://openalex.org/W3200178185', 'https://openalex.org/W3005861762', 'https://openalex.org/W2953361964', 'https://openalex.org/W2788092364', 'https://openalex.org/W2563195118', 'https://openalex.org/W2545227774', 'https://openalex.org/W2348706538', 'https://openalex.org/W2288349649', 'https://openalex.org/W1607269076'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2940743878', 'counts_by_year': [{'year': 2021, 'cited_by_count': 1}, {'year': 2020, 'cited_by_count': 1}], 'updated_date': '2024-09-19T19:52:55.138391', 'created_date': '2019-05-03'}