{"id":"https://openalex.org/W2944516342","doi":"https://doi.org/10.1007/s42102-019-00026-6","title":"Efficient Solutions for Nonlocal Diffusion Problems Via Boundary-Adapted Spectral Methods","display_name":"Efficient Solutions for Nonlocal Diffusion Problems Via Boundary-Adapted Spectral Methods","publication_year":2020,"publication_date":"2020-01-17","ids":{"openalex":"https://openalex.org/W2944516342","doi":"https://doi.org/10.1007/s42102-019-00026-6","mag":"2944516342"},"language":"en","primary_location":{"id":"doi:10.1007/s42102-019-00026-6","doi":"https://doi.org/10.1007/s42102-019-00026-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s42102-019-00026-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210206529","display_name":"Journal of Peridynamics and Nonlocal Modeling","issn_l":"2522-896X","issn":["2522-896X","2522-8978"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","norway-1","poland-20","russia-white-list-4"],"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 Peridynamics and Nonlocal Modeling","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1905.03875","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069153702","display_name":"Siavash Jafarzadeh","orcid":"https://orcid.org/0000-0003-2875-0260","observed_orcids":["https://orcid.org/0000-0003-2875-0260"]},"institutions":[{"id":"https://openalex.org/I114395901","display_name":"University of Nebraska\u2013Lincoln","ror":"https://ror.org/043mer456","country_code":"US","type":"education","lineage":["https://openalex.org/I114395901"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Siavash Jafarzadeh","raw_affiliation_strings":["Department of Mechanical and Materials Engineering, University of Nebraska-Lincoln, Lincoln, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Materials Engineering, University of Nebraska-Lincoln, Lincoln, USA","institution_ids":["https://openalex.org/I114395901"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067799906","display_name":"Adam Larios","orcid":"https://orcid.org/0000-0001-8066-1439","observed_orcids":["https://orcid.org/0000-0001-8066-1439"]},"institutions":[{"id":"https://openalex.org/I114395901","display_name":"University of Nebraska\u2013Lincoln","ror":"https://ror.org/043mer456","country_code":"US","type":"education","lineage":["https://openalex.org/I114395901"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Adam Larios","raw_affiliation_strings":["Department of Mathematics, University of Nebraska-Lincoln, Lincoln, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Nebraska-Lincoln, Lincoln, USA","institution_ids":["https://openalex.org/I114395901"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033842463","display_name":"Florin Bobaru","orcid":"https://orcid.org/0000-0002-9954-6489","observed_orcids":["https://orcid.org/0000-0002-9954-6489"]},"institutions":[{"id":"https://openalex.org/I114395901","display_name":"University of Nebraska\u2013Lincoln","ror":"https://ror.org/043mer456","country_code":"US","type":"education","lineage":["https://openalex.org/I114395901"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Florin Bobaru","raw_affiliation_strings":["Department of Mechanical and Materials Engineering, University of Nebraska-Lincoln, Lincoln, USA"],"raw_orcid":"https://orcid.org/0000-0002-9954-6489","affiliations":[{"raw_affiliation_string":"Department of Mechanical and Materials Engineering, University of Nebraska-Lincoln, Lincoln, USA","institution_ids":["https://openalex.org/I114395901"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5033842463","https://openalex.org/A5067799906"],"corresponding_institution_ids":["https://openalex.org/I114395901"],"apc_list":{"value":1990,"currency":"USD","value_usd":1990},"apc_paid":null,"fwci":3.9137,"has_fulltext":true,"cited_by_count":55,"citation_normalized_percentile":{"value":0.95123578,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"2","issue":"1","first_page":"85","last_page":"110"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9868000149726868,"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"}},"topics":[{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9868000149726868,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.003800000064074993,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.0008999999845400453,"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/peridynamics","display_name":"peridynamics","score":0.9570000171661377},{"id":"https://openalex.org/keywords/nonlocal-diffusion","display_name":"nonlocal diffusion","score":0.9769999980926514},{"id":"https://openalex.org/keywords/transient-diffusion","display_name":"transient diffusion","score":0.6779999732971191},{"id":"https://openalex.org/keywords/volume-penalization-method","display_name":"volume penalization method","score":0.7829999923706055},{"id":"https://openalex.org/keywords/arbitrary-boundary-conditions","display_name":"arbitrary boundary conditions","score":0.8830000162124634},{"id":"https://openalex.org/keywords/nonlocal-boundary-conditions","display_name":"nonlocal boundary conditions","score":0.6449999809265137},{"id":"https://openalex.org/keywords/convolution-integral","display_name":"convolution integral","score":0.5070000290870667},{"id":"https://openalex.org/keywords/fourier-space","display_name":"Fourier space","score":0.4090000092983246},{"id":"https://openalex.org/keywords/dirichlet-boundary-conditions","display_name":"Dirichlet boundary conditions","score":0.8650000095367432},{"id":"https://openalex.org/keywords/neumann-boundary-conditions","display_name":"Neumann boundary conditions","score":0.9649999737739563},{"id":"https://openalex.org/keywords/convergence-analysis","display_name":"convergence analysis","score":0.4189999997615814}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6934000253677368},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6794000267982483},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.619700014591217},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.567799985408783},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5412999987602234},{"id":"https://openalex.org/C23463724","wikidata":"https://www.wikidata.org/wiki/Q2308831","display_name":"Spectral method","level":2,"score":0.5259000062942505},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4997999966144562},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.47839999198913574},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.47780001163482666},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.44279998540878296},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43939998745918274},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.42879998683929443},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4178999960422516},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4171000123023987},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.413100004196167},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.3935999870300293},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.3781000077724457},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.3555000126361847},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.35370001196861267},{"id":"https://openalex.org/C110167270","wikidata":"https://www.wikidata.org/wiki/Q1193699","display_name":"Dirichlet boundary condition","level":3,"score":0.33000001311302185},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.31119999289512634},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.29280000925064087},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.2912999987602234},{"id":"https://openalex.org/C177937620","wikidata":"https://www.wikidata.org/wiki/Q7254447","display_name":"Pseudo-spectral method","level":4,"score":0.28299999237060547},{"id":"https://openalex.org/C103302479","wikidata":"https://www.wikidata.org/wiki/Q1227685","display_name":"Dirichlet conditions","level":5,"score":0.2806999981403351},{"id":"https://openalex.org/C20556612","wikidata":"https://www.wikidata.org/wiki/Q4469374","display_name":"Volume (thermodynamics)","level":2,"score":0.2619999945163727},{"id":"https://openalex.org/C79587385","wikidata":"https://www.wikidata.org/wiki/Q2638931","display_name":"Convolution theorem","level":5,"score":0.26010000705718994},{"id":"https://openalex.org/C2779560616","wikidata":"https://www.wikidata.org/wiki/Q1192869","display_name":"Dirichlet problem","level":3,"score":0.25619998574256897},{"id":"https://openalex.org/C135115559","wikidata":"https://www.wikidata.org/wiki/Q5437040","display_name":"Fast multipole method","level":3,"score":0.25600001215934753}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s42102-019-00026-6","doi":"https://doi.org/10.1007/s42102-019-00026-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s42102-019-00026-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210206529","display_name":"Journal of Peridynamics and Nonlocal Modeling","issn_l":"2522-896X","issn":["2522-896X","2522-8978"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","norway-1","poland-20","russia-white-list-4"],"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 Peridynamics and Nonlocal Modeling","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1905.03875","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1905.03875","pdf_url":"https://arxiv.org/pdf/1905.03875","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.1905.03875","doi":"https://doi.org/10.48550/arxiv.1905.03875","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1905.03875","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1905.03875","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1905.03875","pdf_url":"https://arxiv.org/pdf/1905.03875","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G356513399","display_name":"Linear and Nonlinear Data Assimilation in Turbulent Systems","funder_award_id":"1716801","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7142813775","display_name":null,"funder_award_id":"-15-1-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G8039499059","display_name":null,"funder_award_id":"N00014-15-1-2034","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G8876996369","display_name":null,"funder_award_id":"N00014","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320333591","display_name":"Multidisciplinary University Research Initiative","ror":null},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2944516342.pdf","grobid_xml":"https://content.openalex.org/works/W2944516342.grobid-xml"},"referenced_works_count":85,"referenced_works":["https://openalex.org/W51526084","https://openalex.org/W639417558","https://openalex.org/W1114335897","https://openalex.org/W1569512514","https://openalex.org/W1971180546","https://openalex.org/W1972824981","https://openalex.org/W1974007280","https://openalex.org/W1987568444","https://openalex.org/W1990654557","https://openalex.org/W1993215954","https://openalex.org/W1993929736","https://openalex.org/W1996218244","https://openalex.org/W1997666083","https://openalex.org/W1999040016","https://openalex.org/W2001730319","https://openalex.org/W2010945250","https://openalex.org/W2012828992","https://openalex.org/W2019307921","https://openalex.org/W2020141429","https://openalex.org/W2029410933","https://openalex.org/W2029529153","https://openalex.org/W2031513512","https://openalex.org/W2036662074","https://openalex.org/W2039343706","https://openalex.org/W2047456609","https://openalex.org/W2061171222","https://openalex.org/W2071636135","https://openalex.org/W2090818568","https://openalex.org/W2095539128","https://openalex.org/W2102182691","https://openalex.org/W2103714988","https://openalex.org/W2107153780","https://openalex.org/W2115176036","https://openalex.org/W2124797616","https://openalex.org/W2131778920","https://openalex.org/W2141419602","https://openalex.org/W2142537728","https://openalex.org/W2155385278","https://openalex.org/W2170725848","https://openalex.org/W2220386622","https://openalex.org/W2257170468","https://openalex.org/W2304465082","https://openalex.org/W2335720984","https://openalex.org/W2336094439","https://openalex.org/W2373908088","https://openalex.org/W2461457772","https://openalex.org/W2473259021","https://openalex.org/W2519130544","https://openalex.org/W2560058501","https://openalex.org/W2577673691","https://openalex.org/W2592221312","https://openalex.org/W2632788749","https://openalex.org/W2753683498","https://openalex.org/W2767307714","https://openalex.org/W2769644318","https://openalex.org/W2770836232","https://openalex.org/W2775617088","https://openalex.org/W2780201018","https://openalex.org/W2793554575","https://openalex.org/W2799056246","https://openalex.org/W2801063316","https://openalex.org/W2810745773","https://openalex.org/W2885957720","https://openalex.org/W2887780585","https://openalex.org/W2888962048","https://openalex.org/W2890639007","https://openalex.org/W2899848010","https://openalex.org/W2907248670","https://openalex.org/W2912880100","https://openalex.org/W2943622482","https://openalex.org/W2950563896","https://openalex.org/W2962878537","https://openalex.org/W2963482772","https://openalex.org/W2965999222","https://openalex.org/W2968042371","https://openalex.org/W2970003580","https://openalex.org/W2977127122","https://openalex.org/W3101961862","https://openalex.org/W4230318868","https://openalex.org/W4234029389","https://openalex.org/W4240867252","https://openalex.org/W4244011834","https://openalex.org/W4246944914","https://openalex.org/W4247375400","https://openalex.org/W4298060601"],"related_works":["https://openalex.org/W3120508029","https://openalex.org/W4283159722","https://openalex.org/W3130271354","https://openalex.org/W4311970728","https://openalex.org/W2885957720","https://openalex.org/W2941640801","https://openalex.org/W4405418442","https://openalex.org/W2995676679","https://openalex.org/W1990654557","https://openalex.org/W4390959498"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":2}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2019-05-16T00:00:00"}
