{"id":"https://openalex.org/W1964183339","doi":"https://doi.org/10.1080/00207160410001661348","title":"New wavelet preconditioner for solving boundary integral equations over nonsmooth boundaries","display_name":"New wavelet preconditioner for solving boundary integral equations over nonsmooth boundaries","publication_year":2004,"publication_date":"2004-03-01","ids":{"openalex":"https://openalex.org/W1964183339","doi":"https://doi.org/10.1080/00207160410001661348","mag":"1964183339"},"language":"en","primary_location":{"id":"doi:10.1080/00207160410001661348","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160410001661348","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5036973107","display_name":"Stuart C. Hawkins","orcid":"https://orcid.org/0000-0003-1642-613X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Stuart C. Hawkins*","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5100452006","display_name":"Ke Chen","orcid":"https://orcid.org/0000-0002-6093-6623"},"institutions":[{"id":"https://openalex.org/I4210161658","display_name":"Russian State Agrarian Correspondence University","ror":"https://ror.org/0548hz093","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210161658"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Ke Chen","raw_affiliation_strings":["Correspondencek.chen@liverpool.ac.uk"],"affiliations":[{"raw_affiliation_string":"Correspondencek.chen@liverpool.ac.uk","institution_ids":["https://openalex.org/I4210161658"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100452006"],"corresponding_institution_ids":["https://openalex.org/I4210161658"],"apc_list":null,"apc_paid":null,"fwci":0.6943,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.6660609,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"81","issue":"3","first_page":"353","last_page":"360"},"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/T10514","display_name":"Numerical methods in engineering","score":0.9998000264167786,"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":0.7909289598464966},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6998925805091858},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.6442233324050903},{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.6178072094917297},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.5879786610603333},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5047734975814819},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4887561798095703},{"id":"https://openalex.org/keywords/singular-integral","display_name":"Singular integral","score":0.4671688973903656},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.4449816346168518},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4328119456768036},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.4323507845401764},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.4312330484390259},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40138667821884155},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1657848060131073},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.1510426104068756},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12590011954307556}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7909289598464966},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6998925805091858},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.6442233324050903},{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.6178072094917297},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.5879786610603333},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5047734975814819},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4887561798095703},{"id":"https://openalex.org/C92571104","wikidata":"https://www.wikidata.org/wiki/Q888122","display_name":"Singular integral","level":3,"score":0.4671688973903656},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.4449816346168518},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4328119456768036},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.4323507845401764},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.4312330484390259},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40138667821884155},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1657848060131073},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.1510426104068756},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12590011954307556},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160410001661348","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160410001661348","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.5699999928474426,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W177410257","https://openalex.org/W435641179","https://openalex.org/W1506342804","https://openalex.org/W1508571890","https://openalex.org/W1595449796","https://openalex.org/W1982115588","https://openalex.org/W2004018572","https://openalex.org/W2014208709","https://openalex.org/W2029197611","https://openalex.org/W2033686842","https://openalex.org/W2048038333","https://openalex.org/W2054364143","https://openalex.org/W2060819023","https://openalex.org/W2073228757","https://openalex.org/W2083206954","https://openalex.org/W2094585768","https://openalex.org/W2107766747","https://openalex.org/W2135594087","https://openalex.org/W2140153041","https://openalex.org/W2974116768","https://openalex.org/W4285719527","https://openalex.org/W4292361795"],"related_works":["https://openalex.org/W2357336958","https://openalex.org/W4281839678","https://openalex.org/W152950973","https://openalex.org/W2535797495","https://openalex.org/W2300963337","https://openalex.org/W2283235658","https://openalex.org/W3162287216","https://openalex.org/W2108077990","https://openalex.org/W3168586318","https://openalex.org/W3128284001"],"abstract_inverted_index":{"Abstract":[0],"Matrices":[1],"obtained":[2,27],"by":[3,28],"wavelet":[4,116],"discretisation":[5],"of":[6,64,81,105,125],"partial":[7],"differential":[8],"equations":[9,13],"or":[10],"boundary":[11,67],"integral":[12,118],"(BIEs)":[14],"are":[15,34,45],"typically":[16],"sparse":[17],"with":[18,91],"a":[19,69,74,106,126],"finger-like":[20],"sparsity":[21],"pattern,":[22],"in":[23],"contrast":[24],"to":[25],"matrices":[26],"traditional":[29],"single":[30],"scale":[31],"discretisation,":[32],"which":[33],"dense.":[35],"In":[36],"some":[37],"cases":[38],"diagonal":[39],"preconditioning":[40,76],"is":[41,54,87,111,131],"sufficient,":[42],"but":[43],"there":[44],"effective":[46],"preconditioners":[47],"that":[48],"can":[49],"be":[50],"used":[51],"when":[52],"this":[53],"not":[55],"the":[56,61,82,95],"case.":[57],"Here,":[58],"we":[59],"consider":[60],"particular":[62],"case":[63],"BIEs":[65],"whose":[66],"has":[68],"geometrical":[70],"singularity,":[71],"and":[72,89],"propose":[73],"new":[75],"strategy":[77],"based":[78],"on":[79],"permutations":[80],"unknowns.":[83],"The":[84],"strategy's":[85],"performance":[86],"analysed":[88],"compared":[90],"related":[92],"techniques":[93],"for":[94,99],"double":[96],"layer":[97],"equation":[98],"Laplace's":[100],"equation.":[101],"*E-mail:":[102,122],"stuarth@liverpool.ac.uk.":[103,123],"Support":[104,124],"UK":[107,127],"EPSRC":[108,128],"grant":[109,129],"(GR/R22315)":[110,130],"gratefully":[112,132],"acknowledged.":[113,133],"Keywords:":[114],"PreconditioningContinuous":[115],"discretisationBoundary":[117],"equationPermutationGeometric":[119],"singularity":[120],"Notes":[121]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}