An improved pointwise error estimate of the LDG method for 1-d singularly perturbed reaction-diffusion problem

Name: Work Video:
Duration: 3 min 30 s
Xuesong Wang; Yao Cheng
{'id': 'https://openalex.org/W4387514488', 'doi': 'https://doi.org/10.1016/j.apnum.2023.10.001', 'title': 'An improved pointwise error estimate of the LDG method for 1-d singularly perturbed reaction-diffusion problem', 'display_name': 'An improved pointwise error estimate of the LDG method for 1-d singularly perturbed reaction-diffusion problem', 'publication_year': 2023, 'publication_date': '2023-10-10', 'ids': {'openalex': 'https://openalex.org/W4387514488', 'doi': 'https://doi.org/10.1016/j.apnum.2023.10.001'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1016/j.apnum.2023.10.001', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S24251679', 'display_name': 'Applied Numerical Mathematics', 'issn_l': '0168-9274', 'issn': ['0168-9274', '1873-5460'], '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/A5108064895', 'display_name': 'Xuesong Wang', 'orcid': 'https://orcid.org/0000-0002-5327-1088'}, 'institutions': [{'id': 'https://openalex.org/I308837', 'display_name': 'Suzhou University of Science and Technology', 'ror': 'https://ror.org/04en8wb91', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I308837']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Xuesong Wang', 'raw_affiliation_strings': ['School of Mathematical Sciences, Suzhou University of Science and Technology, Suzhou, 215009, Jiangsu, China'], 'affiliations': [{'raw_affiliation_string': 'School of Mathematical Sciences, Suzhou University of Science and Technology, Suzhou, 215009, Jiangsu, China', 'institution_ids': ['https://openalex.org/I308837']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5057836481', 'display_name': 'Yao Cheng', 'orcid': 'https://orcid.org/0000-0001-9500-9398'}, 'institutions': [{'id': 'https://openalex.org/I308837', 'display_name': 'Suzhou University of Science and Technology', 'ror': 'https://ror.org/04en8wb91', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I308837']}], 'countries': ['CN'], 'is_corresponding': True, 'raw_author_name': 'Yao Cheng', 'raw_affiliation_strings': ['School of Mathematical Sciences, Suzhou University of Science and Technology, Suzhou, 215009, Jiangsu, China'], 'affiliations': [{'raw_affiliation_string': 'School of Mathematical Sciences, Suzhou University of Science and Technology, Suzhou, 215009, Jiangsu, China', 'institution_ids': ['https://openalex.org/I308837']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5057836481'], 'corresponding_institution_ids': ['https://openalex.org/I308837'], 'apc_list': {'value': 1300, 'currency': 'USD', 'value_usd': 1300, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 0.708, 'has_fulltext': False, 'cited_by_count': 1, 'citation_normalized_percentile': {'value': 0.610613, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 68, 'max': 79}, 'biblio': {'volume': '196', 'issue': None, 'first_page': '199', 'last_page': '217'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12727', 'display_name': 'Differential Equations and Numerical Methods', 'score': 1.0, '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/T12727', 'display_name': 'Differential Equations and Numerical Methods', 'score': 1.0, '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/T10339', 'display_name': 'Advanced Numerical Methods in Computational Mathematics', 'score': 0.9988, 'subfield': {'id': 'https://openalex.org/subfields/2206', 'display_name': 'Computational Mechanics'}, '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/T12100', 'display_name': 'Advanced Mathematical Modeling in Engineering', 'score': 0.9969, 'subfield': {'id': 'https://openalex.org/subfields/1703', 'display_name': 'Computational Theory and Mathematics'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/pointwise', 'display_name': 'Pointwise', 'score': 0.95893145}, {'id': 'https://openalex.org/keywords/pointwise-convergence', 'display_name': 'Pointwise convergence', 'score': 0.7842016}], 'concepts': [{'id': 'https://openalex.org/C2777984123', 'wikidata': 'https://www.wikidata.org/wiki/Q9248237', 'display_name': 'Pointwise', 'level': 2, 'score': 0.95893145}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8565697}, {'id': 'https://openalex.org/C27156116', 'wikidata': 'https://www.wikidata.org/wiki/Q1778098', 'display_name': 'Pointwise convergence', 'level': 3, 'score': 0.7842016}, {'id': 'https://openalex.org/C57869625', 'wikidata': 'https://www.wikidata.org/wiki/Q1783502', 'display_name': 'Rate of convergence', 'level': 3, 'score': 0.642429}, {'id': 'https://openalex.org/C186899397', 'wikidata': 'https://www.wikidata.org/wiki/Q1491980', 'display_name': 'Galerkin method', 'level': 3, 'score': 0.52668583}, {'id': 'https://openalex.org/C14036430', 'wikidata': 'https://www.wikidata.org/wiki/Q3736076', 'display_name': 'Function (biology)', 'level': 2, 'score': 0.4950451}, {'id': 'https://openalex.org/C69357855', 'wikidata': 'https://www.wikidata.org/wiki/Q163214', 'display_name': 'Diffusion', 'level': 2, 'score': 0.48905715}, {'id': 'https://openalex.org/C2777303404', 'wikidata': 'https://www.wikidata.org/wiki/Q759757', 'display_name': 'Convergence (economics)', 'level': 2, 'score': 0.48422003}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.47191504}, {'id': 'https://openalex.org/C122383733', 'wikidata': 'https://www.wikidata.org/wiki/Q865920', 'display_name': 'Approximation error', 'level': 2, 'score': 0.45607027}, {'id': 'https://openalex.org/C36503486', 'wikidata': 'https://www.wikidata.org/wiki/Q11235244', 'display_name': 'Domain (mathematical analysis)', 'level': 2, 'score': 0.44908378}, {'id': 'https://openalex.org/C2778572836', 'wikidata': 'https://www.wikidata.org/wiki/Q380933', 'display_name': 'Space (punctuation)', 'level': 2, 'score': 0.4459859}, {'id': 'https://openalex.org/C92244383', 'wikidata': 'https://www.wikidata.org/wiki/Q428273', 'display_name': 'Discontinuous Galerkin method', 'level': 3, 'score': 0.42415085}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.41659358}, {'id': 'https://openalex.org/C135628077', 'wikidata': 'https://www.wikidata.org/wiki/Q220184', 'display_name': 'Finite element method', 'level': 2, 'score': 0.39889044}, {'id': 'https://openalex.org/C2777894999', 'wikidata': 'https://www.wikidata.org/wiki/Q4781758', 'display_name': 'Approx', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C127162648', 'wikidata': 'https://www.wikidata.org/wiki/Q16858953', 'display_name': 'Channel (broadcasting)', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C41895202', 'wikidata': 'https://www.wikidata.org/wiki/Q8162', 'display_name': 'Linguistics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C78458016', 'wikidata': 'https://www.wikidata.org/wiki/Q840400', 'display_name': 'Evolutionary biology', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C50522688', 'wikidata': 'https://www.wikidata.org/wiki/Q189833', 'display_name': 'Economic growth', '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/C119599485', 'wikidata': 'https://www.wikidata.org/wiki/Q43035', 'display_name': 'Electrical engineering', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C162324750', 'wikidata': 'https://www.wikidata.org/wiki/Q8134', 'display_name': 'Economics', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C97355855', 'wikidata': 'https://www.wikidata.org/wiki/Q11473', 'display_name': 'Thermodynamics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C127413603', 'wikidata': 'https://www.wikidata.org/wiki/Q11023', 'display_name': 'Engineering', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C111919701', 'wikidata': 'https://www.wikidata.org/wiki/Q9135', 'display_name': 'Operating system', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1016/j.apnum.2023.10.001', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S24251679', 'display_name': 'Applied Numerical Mathematics', 'issn_l': '0168-9274', 'issn': ['0168-9274', '1873-5460'], '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': [{'display_name': 'Climate action', 'score': 0.56, 'id': 'https://metadata.un.org/sdg/13'}], 'grants': [{'funder': 'https://openalex.org/F4320321001', 'funder_display_name': 'National Natural Science Foundation of China', 'award_id': '11801396'}, {'funder': 'https://openalex.org/F4320322769', 'funder_display_name': 'Natural Science Foundation of Jiangsu Province', 'award_id': 'BK20170374'}, {'funder': 'https://openalex.org/F4320335769', 'funder_display_name': 'Graduate Research and Innovation Projects of Jiangsu Province', 'award_id': 'KYCX22_3254'}], 'datasets': [], 'versions': [], 'referenced_works_count': 22, 'referenced_works': ['https://openalex.org/W1596941773', 'https://openalex.org/W1985859449', 'https://openalex.org/W1987826592', 'https://openalex.org/W200136496', 'https://openalex.org/W2012938047', 'https://openalex.org/W2015795390', 'https://openalex.org/W2029214106', 'https://openalex.org/W2040952858', 'https://openalex.org/W2041458840', 'https://openalex.org/W2084169624', 'https://openalex.org/W2172276040', 'https://openalex.org/W2790754607', 'https://openalex.org/W3084151069', 'https://openalex.org/W3112121506', 'https://openalex.org/W3204708751', 'https://openalex.org/W4234587664', 'https://openalex.org/W4235931046', 'https://openalex.org/W4238363765', 'https://openalex.org/W4254735241', 'https://openalex.org/W4280561001', 'https://openalex.org/W4315928957', 'https://openalex.org/W4324355356'], 'related_works': ['https://openalex.org/W992007432', 'https://openalex.org/W4247762935', 'https://openalex.org/W2931079280', 'https://openalex.org/W2776640168', 'https://openalex.org/W2466242173', 'https://openalex.org/W2093422383', 'https://openalex.org/W2085510698', 'https://openalex.org/W2053583759', 'https://openalex.org/W2046496515', 'https://openalex.org/W1976342131'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W4387514488', 'counts_by_year': [{'year': 2024, 'cited_by_count': 1}], 'updated_date': '2024-12-15T16:31:23.389522', 'created_date': '2023-10-11'}
Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
