Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2055880686', 'doi': 'https://doi.org/10.1137/140965326', 'title': 'High Order Maximum-Principle-Preserving Discontinuous Galerkin Method for Convection-Diffusion Equations', 'display_name': 'High Order Maximum-Principle-Preserving Discontinuous Galerkin Method for Convection-Diffusion Equations', 'publication_year': 2015, 'publication_date': '2015-01-01', 'ids': {'openalex': 'https://openalex.org/W2055880686', 'doi': 'https://doi.org/10.1137/140965326', 'mag': '2055880686'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1137/140965326', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S165512578', 'display_name': 'SIAM Journal on Scientific Computing', 'issn_l': '1064-8275', 'issn': ['1064-8275', '1095-7197'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320508', 'host_organization_name': 'Society for Industrial and Applied Mathematics', 'host_organization_lineage': ['https://openalex.org/P4310320508'], 'host_organization_lineage_names': ['Society for Industrial and Applied Mathematics'], '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': True, 'oa_status': 'green', 'oa_url': 'https://arxiv.org/pdf/1404.4060', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5012141054', 'display_name': 'Tao Xiong', 'orcid': 'https://orcid.org/0000-0002-4912-6574'}, 'institutions': [{'id': 'https://openalex.org/I44461941', 'display_name': 'University of Houston', 'ror': 'https://ror.org/048sx0r50', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I44461941']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Tao Xiong', 'raw_affiliation_strings': ['[Univ. of Houston]'], 'affiliations': [{'raw_affiliation_string': '[Univ. of Houston]', 'institution_ids': ['https://openalex.org/I44461941']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5065678545', 'display_name': 'Jing‐Mei Qiu', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I44461941', 'display_name': 'University of Houston', 'ror': 'https://ror.org/048sx0r50', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I44461941']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Jing-Mei Qiu', 'raw_affiliation_strings': ['[Univ. of Houston]'], 'affiliations': [{'raw_affiliation_string': '[Univ. of Houston]', 'institution_ids': ['https://openalex.org/I44461941']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5101993671', 'display_name': 'Zhengfu Xu', 'orcid': 'https://orcid.org/0000-0003-1482-5727'}, 'institutions': [{'id': 'https://openalex.org/I11957088', 'display_name': 'Michigan Technological University', 'ror': 'https://ror.org/0036rpn28', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I11957088']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Zhengfu Xu', 'raw_affiliation_strings': [', Michigan Technological University'], 'affiliations': [{'raw_affiliation_string': ', Michigan Technological University', 'institution_ids': ['https://openalex.org/I11957088']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 2, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 2.844, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 41, 'citation_normalized_percentile': {'value': 0.914013, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 95, 'max': 96}, 'biblio': {'volume': '37', 'issue': '2', 'first_page': 'A583', 'last_page': 'A608'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10339', 'display_name': 'Advanced Numerical Methods in Computational Mathematics', 'score': 0.9999, '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'}}, 'topics': [{'id': 'https://openalex.org/T10339', 'display_name': 'Advanced Numerical Methods in Computational Mathematics', 'score': 0.9999, '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/T10173', 'display_name': 'Computational Fluid Dynamics and Aerodynamics', 'score': 0.9998, '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/T11416', 'display_name': 'Numerical methods for differential equations', 'score': 0.9988, '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/flux-limiter', 'display_name': 'Flux limiter', 'score': 0.7449275}, {'id': 'https://openalex.org/keywords/convection–diffusion-equation', 'display_name': 'Convection–diffusion equation', 'score': 0.5511149}, {'id': 'https://openalex.org/keywords/limiter', 'display_name': 'Limiter', 'score': 0.4939683}, {'id': 'https://openalex.org/keywords/robustness', 'display_name': 'Robustness', 'score': 0.43388122}], 'concepts': [{'id': 'https://openalex.org/C92244383', 'wikidata': 'https://www.wikidata.org/wiki/Q428273', 'display_name': 'Discontinuous Galerkin method', 'level': 3, 'score': 0.77944994}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.75773835}, {'id': 'https://openalex.org/C10819784', 'wikidata': 'https://www.wikidata.org/wiki/Q5463027', 'display_name': 'Flux limiter', 'level': 2, 'score': 0.7449275}, {'id': 'https://openalex.org/C17456955', 'wikidata': 'https://www.wikidata.org/wiki/Q343279', 'display_name': 'Convection–diffusion equation', 'level': 2, 'score': 0.5511149}, {'id': 'https://openalex.org/C57691317', 'wikidata': 'https://www.wikidata.org/wiki/Q1289248', 'display_name': 'Scalar (mathematics)', 'level': 2, 'score': 0.5502609}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.516192}, {'id': 'https://openalex.org/C45011657', 'wikidata': 'https://www.wikidata.org/wiki/Q1613840', 'display_name': 'Limiter', 'level': 2, 'score': 0.4939683}, {'id': 'https://openalex.org/C186899397', 'wikidata': 'https://www.wikidata.org/wiki/Q1491980', 'display_name': 'Galerkin method', 'level': 3, 'score': 0.45563713}, {'id': 'https://openalex.org/C63479239', 'wikidata': 'https://www.wikidata.org/wiki/Q7353546', 'display_name': 'Robustness (evolution)', 'level': 3, 'score': 0.43388122}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.4330545}, {'id': 'https://openalex.org/C135628077', 'wikidata': 'https://www.wikidata.org/wiki/Q220184', 'display_name': 'Finite element method', 'level': 2, 'score': 0.25314146}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.19259629}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.16115552}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.11172345}, {'id': 'https://openalex.org/C76155785', 'wikidata': 'https://www.wikidata.org/wiki/Q418', 'display_name': 'Telecommunications', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C55493867', 'wikidata': 'https://www.wikidata.org/wiki/Q7094', 'display_name': 'Biochemistry', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C185592680', 'wikidata': 'https://www.wikidata.org/wiki/Q2329', 'display_name': 'Chemistry', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C104317684', 'wikidata': 'https://www.wikidata.org/wiki/Q7187', 'display_name': 'Gene', 'level': 2, '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': 2, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1137/140965326', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S165512578', 'display_name': 'SIAM Journal on Scientific Computing', 'issn_l': '1064-8275', 'issn': ['1064-8275', '1095-7197'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320508', 'host_organization_name': 'Society for Industrial and Applied Mathematics', 'host_organization_lineage': ['https://openalex.org/P4310320508'], 'host_organization_lineage_names': ['Society for Industrial and Applied Mathematics'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1404.4060', 'pdf_url': 'https://arxiv.org/pdf/1404.4060', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1404.4060', 'pdf_url': 'https://arxiv.org/pdf/1404.4060', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I205783295', 'host_organization_name': 'Cornell University', 'host_organization_lineage': ['https://openalex.org/I205783295'], 'host_organization_lineage_names': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 36, 'referenced_works': ['https://openalex.org/W1507767947', 'https://openalex.org/W1555627060', 'https://openalex.org/W157107253', 'https://openalex.org/W1600997507', 'https://openalex.org/W1886421468', 'https://openalex.org/W1963487408', 'https://openalex.org/W1967467186', 'https://openalex.org/W1969395389', 'https://openalex.org/W1973481688', 'https://openalex.org/W1982465309', 'https://openalex.org/W1983195644', 'https://openalex.org/W1988507032', 'https://openalex.org/W1989692168', 'https://openalex.org/W1993923624', 'https://openalex.org/W2008956940', 'https://openalex.org/W2012541063', 'https://openalex.org/W2012938047', 'https://openalex.org/W2019713093', 'https://openalex.org/W2029957540', 'https://openalex.org/W2038007684', 'https://openalex.org/W2039150507', 'https://openalex.org/W2051370422', 'https://openalex.org/W2054597080', 'https://openalex.org/W2058765828', 'https://openalex.org/W2063214641', 'https://openalex.org/W2065908448', 'https://openalex.org/W2072099237', 'https://openalex.org/W2085961649', 'https://openalex.org/W2092584883', 'https://openalex.org/W2111377397', 'https://openalex.org/W2142212336', 'https://openalex.org/W2156669471', 'https://openalex.org/W2953260897', 'https://openalex.org/W4252060206', 'https://openalex.org/W4285719527', 'https://openalex.org/W70071832'], 'related_works': ['https://openalex.org/W4389166462', 'https://openalex.org/W4286962991', 'https://openalex.org/W3202315186', 'https://openalex.org/W3027009359', 'https://openalex.org/W2941134316', 'https://openalex.org/W2381269531', 'https://openalex.org/W2374241667', 'https://openalex.org/W2073662629', 'https://openalex.org/W1998416284', 'https://openalex.org/W1994462981'], 'abstract_inverted_index': {'In': [0], 'this': [1], 'paper,': [2], 'we': [3, 100], 'propose': [4], 'to': [5, 28, 142, 154, 170], 'apply': [6], 'the': [7, 29, 36, 43, 51, 57, 72, 77, 102, 116, 155, 173, 183, 204, 209, 213, 216], 'parametrized': [8, 135], 'maximum-principle-preserving': [9], '(MPP)': [10], 'flux': [11, 46, 68, 137, 176], 'limiter': [12, 138, 177], 'in': [13, 62, 75, 115], '[T.': [14], 'Xiong,': [15], 'J.-M.': [16], 'Qiu,': [17], 'and': [18, 90, 212], 'Z.': [19], 'Xu,': [20], 'J.': [21, 93], 'Comput.': [22, 94], 'Phys.,': [23, 95], '252': [24], '(2013),': [25], 'pp.': [26, 98], '310--331]': [27], 'discontinuous': [30], 'Galerkin': [31], '(DG)': [32], 'method': [33, 178], 'for': [34, 83, 121, 162, 199], 'solving': [35], 'convection-diffusion': [37, 84], 'equations.': [38], 'The': [39], 'feasibility': [40], 'of': [41, 56, 80, 104, 112, 118, 124, 145, 215], 'applying': [42], 'proposed': [44, 134, 174, 217], 'MPP': [45, 78, 136, 175, 210], 'limiters': [47], 'is': [48, 168], 'based': [49], 'on': [50], 'fact': [52], 'that': [53, 152, 172], 'cell': [54, 106], 'averages': [55, 107], 'DG': [58, 81, 122, 143], 'solutions': [59, 82], 'are': [60], 'updated': [61], 'a': [63, 109, 131], 'conservative': [64], 'fashion': [65], '(by': [66], 'using': [67], 'difference).': [69], 'Compared': [70], 'with': [71], 'earlier': [73], 'approach': [74], 'preserving': [76], 'property': [79], 'problems': [85], '[Y.': [86], 'Zhang,': [87, 89], 'X.': [88], 'C.-W.': [91], 'Shu,': [92], '234': [96], '(2012),': [97], '295--316],': [99], 'avoid': [101], 'difficulty': [103], 'rewriting': [105], 'as': [108], 'convex': [110], 'combination': [111], 'point': [113], 'values': [114], 'presence': [117], 'diffusion': [119], 'terms': [120], 'schemes': [123], 'higher': [125], 'than': [126], 'second': [127], 'order': [128, 157, 186, 206], 'accuracy.': [129], 'As': [130], 'result,': [132], 'our': [133], 'can': [139, 159], 'be': [140, 160], 'applied': [141], 'methods': [144], 'arbitrary': [146], 'high': [147, 185, 205], 'order.': [148], 'We': [149], 'theoretically': [150], 'prove': [151], 'up': [153], 'third': [156], 'accuracy': [158, 207], 'preserved': [161], 'scalar': [163], 'one-dimensional': [164], 'problems.': [165], 'Numerical': [166, 195], 'evidence': [167], 'presented': [169], 'show': [171], 'does': [179, 189], 'not': [180], 'adversely': [181], 'affect': [182], 'desired': [184], 'accuracy,': [187], 'nor': [188], 'it': [190], 'require': [191], 'restrictive': [192], 'time': [193], 'steps.': [194], 'experiments': [196], 'including': [197], 'those': [198], 'incompressible': [200], 'flow': [201], 'examples': [202], 'demonstrate': [203], 'preserving,': [208], 'performance,': [211], 'robustness': [214], 'method.': [218]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2055880686', 'counts_by_year': [{'year': 2024, 'cited_by_count': 5}, {'year': 2023, 'cited_by_count': 4}, {'year': 2022, 'cited_by_count': 7}, {'year': 2021, 'cited_by_count': 5}, {'year': 2020, 'cited_by_count': 1}, {'year': 2019, 'cited_by_count': 8}, {'year': 2018, 'cited_by_count': 5}, {'year': 2017, 'cited_by_count': 2}, {'year': 2016, 'cited_by_count': 4}], 'updated_date': '2024-12-24T14:57:43.239622', 'created_date': '2016-06-24'}