{"id":"https://openalex.org/W2005898639","doi":"https://doi.org/10.1016/s0893-9659(02)00030-7","title":"The Cauchy problem for the wave equation using the decomposition method","display_name":"The Cauchy problem for the wave equation using the decomposition method","publication_year":2002,"publication_date":"2002-08-01","ids":{"openalex":"https://openalex.org/W2005898639","doi":"https://doi.org/10.1016/s0893-9659(02)00030-7","mag":"2005898639"},"language":"en","primary_location":{"id":"doi:10.1016/s0893-9659(02)00030-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0893-9659(02)00030-7","pdf_url":null,"source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics Letters","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/A5113989777","display_name":"D. Lesnic","orcid":"https://orcid.org/0000-0003-3025-2770"},"institutions":[{"id":"https://openalex.org/I130828816","display_name":"University of Leeds","ror":"https://ror.org/024mrxd33","country_code":"GB","type":"education","lineage":["https://openalex.org/I130828816"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"D. Lesnic","raw_affiliation_strings":["Department of Applied Mathematics University of Leeds, Leeds LS2 9JT, U.K.#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics University of Leeds, Leeds LS2 9JT, U.K.#TAB#","institution_ids":["https://openalex.org/I130828816"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5113989777"],"corresponding_institution_ids":["https://openalex.org/I130828816"],"apc_list":{"value":3540,"currency":"USD","value_usd":3540},"apc_paid":null,"fwci":0.6407,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.70004222,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"15","issue":"6","first_page":"697","last_page":"701"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9108999967575073,"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":0.9108999967575073,"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/mathematics","display_name":"Mathematics","score":0.9173038005828857},{"id":"https://openalex.org/keywords/adomian-decomposition-method","display_name":"Adomian decomposition method","score":0.849877655506134},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.61202073097229},{"id":"https://openalex.org/keywords/cauchy-problem","display_name":"Cauchy problem","score":0.6014362573623657},{"id":"https://openalex.org/keywords/cauchy-boundary-condition","display_name":"Cauchy boundary condition","score":0.5731565356254578},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5145963430404663},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5113489031791687},{"id":"https://openalex.org/keywords/dalemberts-formula","display_name":"d'Alembert's formula","score":0.5104112029075623},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.5025224685668945},{"id":"https://openalex.org/keywords/poissons-equation","display_name":"Poisson's equation","score":0.4932698607444763},{"id":"https://openalex.org/keywords/decomposition-method","display_name":"Decomposition method (queueing theory)","score":0.4869626462459564},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.4854326844215393},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.48101717233657837},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4741893708705902},{"id":"https://openalex.org/keywords/cauchys-convergence-test","display_name":"Cauchy's convergence test","score":0.4255527853965759},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4032023847103119},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.30060261487960815},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.21041104197502136},{"id":"https://openalex.org/keywords/free-boundary-problem","display_name":"Free boundary problem","score":0.19353005290031433},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.05387100577354431}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9173038005828857},{"id":"https://openalex.org/C120317633","wikidata":"https://www.wikidata.org/wiki/Q3042796","display_name":"Adomian decomposition method","level":3,"score":0.849877655506134},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.61202073097229},{"id":"https://openalex.org/C153635880","wikidata":"https://www.wikidata.org/wiki/Q1412436","display_name":"Cauchy problem","level":3,"score":0.6014362573623657},{"id":"https://openalex.org/C106947605","wikidata":"https://www.wikidata.org/wiki/Q3278575","display_name":"Cauchy boundary condition","level":4,"score":0.5731565356254578},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5145963430404663},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5113489031791687},{"id":"https://openalex.org/C144838653","wikidata":"https://www.wikidata.org/wiki/Q2388753","display_name":"d'Alembert's formula","level":5,"score":0.5104112029075623},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.5025224685668945},{"id":"https://openalex.org/C96716743","wikidata":"https://www.wikidata.org/wiki/Q827688","display_name":"Poisson's equation","level":2,"score":0.4932698607444763},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.4869626462459564},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.4854326844215393},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.48101717233657837},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4741893708705902},{"id":"https://openalex.org/C76835800","wikidata":"https://www.wikidata.org/wiki/Q859102","display_name":"Cauchy's convergence test","level":5,"score":0.4255527853965759},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4032023847103119},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.30060261487960815},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.21041104197502136},{"id":"https://openalex.org/C154416045","wikidata":"https://www.wikidata.org/wiki/Q5500196","display_name":"Free boundary problem","level":3,"score":0.19353005290031433},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.05387100577354431},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0893-9659(02)00030-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0893-9659(02)00030-7","pdf_url":null,"source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W638618906","https://openalex.org/W1560556759","https://openalex.org/W1983599525","https://openalex.org/W1989501302","https://openalex.org/W2011083087","https://openalex.org/W2030313779","https://openalex.org/W2035566828","https://openalex.org/W2061136998","https://openalex.org/W2090651245","https://openalex.org/W3021722416"],"related_works":["https://openalex.org/W2089904505","https://openalex.org/W2184238946","https://openalex.org/W1838417290","https://openalex.org/W2080236590","https://openalex.org/W1977939012","https://openalex.org/W811173482","https://openalex.org/W2028789925","https://openalex.org/W2004728433","https://openalex.org/W2171849053","https://openalex.org/W1534622144"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
