{"id":"https://openalex.org/W2087385306","doi":"https://doi.org/10.1007/s10915-010-9421-y","title":"A Prolate-Element Method for Nonlinear PDEs on\u00a0the\u00a0Sphere","display_name":"A Prolate-Element Method for Nonlinear PDEs on\u00a0the\u00a0Sphere","publication_year":2010,"publication_date":"2010-09-20","ids":{"openalex":"https://openalex.org/W2087385306","doi":"https://doi.org/10.1007/s10915-010-9421-y","mag":"2087385306"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-010-9421-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-010-9421-y","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101926592","display_name":"Jing Zhang","orcid":"https://orcid.org/0000-0001-9697-8684"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Jing Zhang","raw_affiliation_strings":["Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, 637371, Singapore","Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore , Singapore 637371#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, 637371, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore , Singapore 637371#TAB#","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112395743","display_name":"Li-Lian Wang","orcid":"https://orcid.org/0000-0002-2735-9019"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Li-Lian Wang","raw_affiliation_strings":["Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, 637371, Singapore","Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore , Singapore 637371#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, 637371, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore , Singapore 637371#TAB#","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003322404","display_name":"Zhijian Rong","orcid":null},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhijian Rong","raw_affiliation_strings":["School of Mathematical Sciences, Xiamen University, Xiamen, 361005, China","School of Mathematical Sciences, Xiamen University, Xiamen, China 361005"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Xiamen University, Xiamen, 361005, China","institution_ids":["https://openalex.org/I191208505"]},{"raw_affiliation_string":"School of Mathematical Sciences, Xiamen University, Xiamen, China 361005","institution_ids":["https://openalex.org/I191208505"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5112395743"],"corresponding_institution_ids":["https://openalex.org/I172675005"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.177,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.81525487,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"47","issue":"1","first_page":"73","last_page":"92"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9991999864578247,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7834485769271851},{"id":"https://openalex.org/keywords/prolate-spheroid","display_name":"Prolate spheroid","score":0.6474043130874634},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5911429524421692},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.5616219639778137},{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.5209925770759583},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.48031681776046753},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.4518711566925049},{"id":"https://openalex.org/keywords/cube","display_name":"Cube (algebra)","score":0.44953328371047974},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4478505551815033},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.4341140687465668},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.29713743925094604},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19477733969688416},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08940300345420837}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7834485769271851},{"id":"https://openalex.org/C197807790","wikidata":"https://www.wikidata.org/wiki/Q208395","display_name":"Prolate spheroid","level":2,"score":0.6474043130874634},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5911429524421692},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.5616219639778137},{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.5209925770759583},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.48031681776046753},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.4518711566925049},{"id":"https://openalex.org/C53051483","wikidata":"https://www.wikidata.org/wiki/Q861555","display_name":"Cube (algebra)","level":2,"score":0.44953328371047974},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4478505551815033},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.4341140687465668},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.29713743925094604},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19477733969688416},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08940300345420837},{"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-010-9421-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-010-9421-y","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.44999998807907104,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":64,"referenced_works":["https://openalex.org/W206313772","https://openalex.org/W278382252","https://openalex.org/W837422817","https://openalex.org/W1533551416","https://openalex.org/W1635622277","https://openalex.org/W1805381866","https://openalex.org/W1965755101","https://openalex.org/W1975302688","https://openalex.org/W1979677378","https://openalex.org/W1983310738","https://openalex.org/W1985072454","https://openalex.org/W1994623011","https://openalex.org/W1995816184","https://openalex.org/W1997994297","https://openalex.org/W1998659319","https://openalex.org/W1999952620","https://openalex.org/W2004682961","https://openalex.org/W2006025109","https://openalex.org/W2021953266","https://openalex.org/W2023583513","https://openalex.org/W2029870529","https://openalex.org/W2031070610","https://openalex.org/W2031567600","https://openalex.org/W2036423516","https://openalex.org/W2039093201","https://openalex.org/W2046528357","https://openalex.org/W2047352485","https://openalex.org/W2058245054","https://openalex.org/W2061890852","https://openalex.org/W2067111814","https://openalex.org/W2067265108","https://openalex.org/W2074518966","https://openalex.org/W2076247888","https://openalex.org/W2078768478","https://openalex.org/W2079255608","https://openalex.org/W2084980626","https://openalex.org/W2086823102","https://openalex.org/W2088801740","https://openalex.org/W2092070210","https://openalex.org/W2103604791","https://openalex.org/W2111377429","https://openalex.org/W2113834765","https://openalex.org/W2118725377","https://openalex.org/W2124284683","https://openalex.org/W2127538310","https://openalex.org/W2147163796","https://openalex.org/W2155674109","https://openalex.org/W2157285426","https://openalex.org/W2159144555","https://openalex.org/W2162703509","https://openalex.org/W2170339701","https://openalex.org/W2177339763","https://openalex.org/W2410611469","https://openalex.org/W2475997554","https://openalex.org/W2477829615","https://openalex.org/W2582972221","https://openalex.org/W2969262004","https://openalex.org/W2991126964","https://openalex.org/W2998752808","https://openalex.org/W3112961938","https://openalex.org/W4237994936","https://openalex.org/W4239114676","https://openalex.org/W4239200701","https://openalex.org/W4247375400"],"related_works":["https://openalex.org/W2143647943","https://openalex.org/W2736737644","https://openalex.org/W2004393087","https://openalex.org/W4213210739","https://openalex.org/W4212938774","https://openalex.org/W1984935923","https://openalex.org/W3021654523","https://openalex.org/W2385225694","https://openalex.org/W2605213956","https://openalex.org/W2039165471"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
