{"id":"https://openalex.org/W1995270405","doi":"https://doi.org/10.1137/s106482759528555x","title":"Multilevel Evaluation of Integral Transforms with Asymptotically Smooth Kernels","display_name":"Multilevel Evaluation of Integral Transforms with Asymptotically Smooth Kernels","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W1995270405","doi":"https://doi.org/10.1137/s106482759528555x","mag":"1995270405"},"language":"en","primary_location":{"id":"doi:10.1137/s106482759528555x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s106482759528555x","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.utwente.nl/files/168412133/s106482759528555x.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002716963","display_name":"Achi Brandt","orcid":"https://orcid.org/0000-0001-5957-8550"},"institutions":[{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"A. Brandt","raw_affiliation_strings":["Weizmann Institute of Science"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Weizmann Institute of Science","institution_ids":["https://openalex.org/I53964585"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042786095","display_name":"Cornelis H. Venner","orcid":"https://orcid.org/0000-0002-0647-9249"},"institutions":[{"id":"https://openalex.org/I94624287","display_name":"University of Twente","ror":"https://ror.org/006hf6230","country_code":"NL","type":"education","lineage":["https://openalex.org/I94624287"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"C. H. Venner","raw_affiliation_strings":["University of Twente, Faculty of Mechanical Engineering, P.O. Box 217, 7500 AE Enschede, the Netherlands,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Twente, Faculty of Mechanical Engineering, P.O. Box 217, 7500 AE Enschede, the Netherlands,","institution_ids":["https://openalex.org/I94624287"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6024,"has_fulltext":true,"cited_by_count":40,"citation_normalized_percentile":{"value":0.80763023,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"19","issue":"2","first_page":"468","last_page":"492"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9998999834060669,"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 and Analysis","score":0.9998999834060669,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9994999766349792,"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":0.9988999962806702,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.8151755928993225},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7327277660369873},{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.7129316329956055},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.6180465221405029},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.5708601474761963},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5441173315048218},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5205808281898499},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.503562867641449},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.5035297274589539},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.44754400849342346},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.357481449842453},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3432310223579407},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.2916688323020935},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21710661053657532},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.19096216559410095}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8151755928993225},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7327277660369873},{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.7129316329956055},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6180465221405029},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.5708601474761963},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5441173315048218},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5205808281898499},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.503562867641449},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.5035297274589539},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.44754400849342346},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.357481449842453},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3432310223579407},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.2916688323020935},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21710661053657532},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.19096216559410095}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s106482759528555x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s106482759528555x","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:ris.utwente.nl:openaire/90c7b283-5a49-4499-a560-7d3d7ecdb3b3","is_oa":true,"landing_page_url":"https://research.utwente.nl/en/publications/90c7b283-5a49-4499-a560-7d3d7ecdb3b3","pdf_url":"https://research.utwente.nl/files/168412133/s106482759528555x.pdf","source":{"id":"https://openalex.org/S4406922991","display_name":"University of Twente Research Information","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Brandt, A & Venner, C H 1998, 'Multilevel evaluation of integral transforms with asymptotically smooth kernels', SIAM journal on scientific computing, vol. 19, no. 2, pp. 468-492. https://doi.org/10.1137/S106482759528555X","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.35.556","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.35.556","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.wisdom.weizmann.ac.il/~achi/gmc-2.ps","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:ris.utwente.nl:openaire/90c7b283-5a49-4499-a560-7d3d7ecdb3b3","is_oa":true,"landing_page_url":"https://research.utwente.nl/en/publications/90c7b283-5a49-4499-a560-7d3d7ecdb3b3","pdf_url":"https://research.utwente.nl/files/168412133/s106482759528555x.pdf","source":{"id":"https://openalex.org/S4406922991","display_name":"University of Twente Research Information","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Brandt, A & Venner, C H 1998, 'Multilevel evaluation of integral transforms with asymptotically smooth kernels', SIAM journal on scientific computing, vol. 19, no. 2, pp. 468-492. https://doi.org/10.1137/S106482759528555X","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320934","display_name":"Koninklijke Nederlandse Akademie van Wetenschappen","ror":"https://ror.org/043c0p156"},{"id":"https://openalex.org/F4320320946","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306"},{"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/W1995270405.pdf","grobid_xml":"https://content.openalex.org/works/W1995270405.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1977553864","https://openalex.org/W1982115588","https://openalex.org/W2011842427","https://openalex.org/W2047586811","https://openalex.org/W2062998491","https://openalex.org/W2068306188","https://openalex.org/W2073517977","https://openalex.org/W2077852080","https://openalex.org/W2080803508","https://openalex.org/W2083206954","https://openalex.org/W2094585768","https://openalex.org/W2135594087","https://openalex.org/W2151317657"],"related_works":["https://openalex.org/W2077078424","https://openalex.org/W2182328658","https://openalex.org/W1519938374","https://openalex.org/W84272617","https://openalex.org/W613282331","https://openalex.org/W2092341060","https://openalex.org/W2625595466","https://openalex.org/W2349420447","https://openalex.org/W2058418735","https://openalex.org/W2101742712"],"abstract_inverted_index":{"Multilevel":[0],"algorithms":[1],"developed":[2],"for":[3,150],"the":[4,11,14,25,93,101,121,124,130,136,144,167,219],"fast":[5],"evaluation":[6],"of":[7,13,24,84,100,123,129,138,169],"integral":[8,16],"transforms":[9],"and":[10,17,29,37,49,63,190,197,206],"solution":[12,94],"corresponding":[15],"integrodifferential":[18],"equations":[19],"rely":[20],"on":[21,31,120],"smoothness":[22,122],"properties":[23],"discrete":[26],"kernel":[27,126],"(matrix)":[28],"thereby":[30],"grid":[32,131],"uniformity":[33],"(see":[34],"[A.":[35,204],"Brandt":[36,205],"A.A.":[38,50,207],"Lubrecht,":[39,51,208],"J.":[40,209],"Comput.":[41,210],"Phys.,":[42,211],"90":[43,212],"(1990),":[44,213],"pp.":[45,214],"348--370],":[46,215],"[C.H.":[47],"Venner":[48],"Multigrid":[52,58],"Methods":[53],"IV:":[54],"Proc.":[55],"4th":[56],"European":[57],"Conference,":[59],"Amsterdam1993,":[60],"P.":[61,64],"Hemker":[62],"Wesseling,":[65],"eds.,":[66],"Birkh\u00e4user,":[67],"Basel,":[68],"1994]).":[69],"However,":[70],"in":[71,75,78,97,203],"actual":[72],"applications,":[73],"e.g.,":[74],"contact":[76],"mechanics,":[77],"many":[79],"cases":[80],"a":[81,113,151,176,188,191],"substantial":[82],"increase":[83],"efficiency":[85],"can":[86],"be":[87,148],"obtained":[88],"using":[89,175,186],"nonuniform":[90],"grids,":[91],"since":[92],"is":[95,116,166,173],"smooth":[96],"large":[98,104],"parts":[99],"domain":[102,221],"with":[103,180,200],"gradients":[105],"that":[106],"occur":[107],"only":[108,154],"locally.":[109],"In":[110],"this":[111],"paper":[112],"new":[114],"algorithm":[115,172],"presented":[117,185,202],"which":[118],"relies":[119],"continuum":[125],"only,":[127],"independent":[128],"configuration.":[132],"This":[133],"will":[134,146],"facilitate":[135],"introduction":[137],"local":[139],"refinements,":[140],"wherever":[141],"needed.":[142],"Also,":[143],"evaluations":[145],"generally":[147],"faster;":[149],"d-dimensional":[152],"problem":[153,179],"O(sd":[155],"+":[156],"1":[157],")":[158],"operations":[159],"per":[160],"gridpoint":[161],"are":[162,184],"needed":[163],"if":[164],"s":[165],"order":[168],"discretization.":[170,193],"The":[171],"tested":[174],"one-dimensional":[177],"model":[178],"logarithmic":[181],"kernel.":[182],"Results":[183],"both":[187],"second-":[189],"fourth-order":[192],"For":[194],"testing":[195],"purposes":[196],"to":[198],"compare":[199],"results":[201],"uniform":[216],"grids":[217],"covering":[218],"entire":[220],"were":[222],"considered":[223],"first.":[224]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2025-10-10T00:00:00"}
