{"id":"https://openalex.org/W4297095259","doi":"https://doi.org/10.1109/taslp.2022.3209934","title":"Non-Iterative Simulation Methods for Virtual Analog Modelling","display_name":"Non-Iterative Simulation Methods for Virtual Analog Modelling","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4297095259","doi":"https://doi.org/10.1109/taslp.2022.3209934"},"language":"en","primary_location":{"id":"doi:10.1109/taslp.2022.3209934","is_oa":true,"landing_page_url":"https://doi.org/10.1109/taslp.2022.3209934","pdf_url":"https://ieeexplore.ieee.org/ielx7/6570655/6633080/09903631.pdf","source":{"id":"https://openalex.org/S4210169297","display_name":"IEEE/ACM Transactions on Audio Speech and Language Processing","issn_l":"2329-9290","issn":["2329-9290","2329-9304"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE/ACM Transactions on Audio, Speech, and Language Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://ieeexplore.ieee.org/ielx7/6570655/6633080/09903631.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020505937","display_name":"Michele Ducceschi","orcid":"https://orcid.org/0000-0003-4806-5295"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Michele Ducceschi","raw_affiliation_strings":["Department of Industrial Engineering, University of Bologna, Bologna, Italy"],"raw_orcid":"https://orcid.org/0000-0003-4806-5295","affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, University of Bologna, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023116667","display_name":"Stefan Bilbao","orcid":"https://orcid.org/0000-0001-5332-9887"},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Stefan Bilbao","raw_affiliation_strings":["Acoustics and Audio Group, University of Edinburgh, Edinburgh, U.K"],"raw_orcid":"https://orcid.org/0000-0001-5332-9887","affiliations":[{"raw_affiliation_string":"Acoustics and Audio Group, University of Edinburgh, Edinburgh, U.K","institution_ids":["https://openalex.org/I98677209"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3367,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.52964169,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"30","issue":null,"first_page":"3189","last_page":"3198"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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":0.9968000054359436,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6727941632270813},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6109164357185364},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.5886593461036682},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.5812085866928101},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5455590486526489},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.5240262150764465},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.477723091840744},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4706555902957916},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.45634305477142334},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4244574308395386},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42355746030807495},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.42188090085983276},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3554724454879761},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3482078015804291},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29710155725479126},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14682134985923767},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.13482585549354553}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6727941632270813},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6109164357185364},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.5886593461036682},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.5812085866928101},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5455590486526489},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.5240262150764465},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.477723091840744},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4706555902957916},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.45634305477142334},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4244574308395386},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42355746030807495},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.42188090085983276},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3554724454879761},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3482078015804291},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29710155725479126},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14682134985923767},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.13482585549354553},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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":4,"locations":[{"id":"doi:10.1109/taslp.2022.3209934","is_oa":true,"landing_page_url":"https://doi.org/10.1109/taslp.2022.3209934","pdf_url":"https://ieeexplore.ieee.org/ielx7/6570655/6633080/09903631.pdf","source":{"id":"https://openalex.org/S4210169297","display_name":"IEEE/ACM Transactions on Audio Speech and Language Processing","issn_l":"2329-9290","issn":["2329-9290","2329-9304"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE/ACM Transactions on Audio, Speech, and Language Processing","raw_type":"journal-article"},{"id":"pmh:oai:pure.ed.ac.uk:openaire/4b0a82b5-2a42-477d-ab4b-6fabff586758","is_oa":true,"landing_page_url":"https://www.research.ed.ac.uk/en/publications/4b0a82b5-2a42-477d-ab4b-6fabff586758","pdf_url":null,"source":{"id":"https://openalex.org/S4306400321","display_name":"Edinburgh Research Explorer (University of Edinburgh)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I98677209","host_organization_name":"University of Edinburgh","host_organization_lineage":["https://openalex.org/I98677209"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Ducceschi, M & Bilbao, S 2022, 'Non-iterative simulation methods for virtual analog modelling', IEEE Transactions on Audio, Speech and Language Processing, vol. 30, pp. 3189-3198. https://doi.org/10.1109/TASLP.2022.3209934","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:cris.unibo.it:11585/901519","is_oa":true,"landing_page_url":"https://hdl.handle.net/11585/901519","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pure.ed.ac.uk:publications/4b0a82b5-2a42-477d-ab4b-6fabff586758","is_oa":false,"landing_page_url":"https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=10376","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"doi:10.1109/taslp.2022.3209934","is_oa":true,"landing_page_url":"https://doi.org/10.1109/taslp.2022.3209934","pdf_url":"https://ieeexplore.ieee.org/ielx7/6570655/6633080/09903631.pdf","source":{"id":"https://openalex.org/S4210169297","display_name":"IEEE/ACM Transactions on Audio Speech and Language Processing","issn_l":"2329-9290","issn":["2329-9290","2329-9304"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE/ACM Transactions on Audio, Speech, and Language Processing","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4099999964237213,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G2383610387","display_name":null,"funder_award_id":"950084-NEMUS","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"}],"funders":[{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4297095259.pdf","grobid_xml":"https://content.openalex.org/works/W4297095259.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W280536263","https://openalex.org/W1547850816","https://openalex.org/W1972580129","https://openalex.org/W1979969756","https://openalex.org/W1986490616","https://openalex.org/W2009253901","https://openalex.org/W2026061145","https://openalex.org/W2027876210","https://openalex.org/W2078394884","https://openalex.org/W2130509407","https://openalex.org/W2142789340","https://openalex.org/W2142852645","https://openalex.org/W2144751081","https://openalex.org/W2152859647","https://openalex.org/W2217066164","https://openalex.org/W2484971506","https://openalex.org/W2526408861","https://openalex.org/W2735078050","https://openalex.org/W2776539204","https://openalex.org/W2797424010","https://openalex.org/W2924259312","https://openalex.org/W2954349310","https://openalex.org/W2964388437","https://openalex.org/W2979148576","https://openalex.org/W3165271590","https://openalex.org/W3170685640","https://openalex.org/W3188700076","https://openalex.org/W3194139522","https://openalex.org/W6607597719","https://openalex.org/W6679143332","https://openalex.org/W6687425124","https://openalex.org/W6688334366","https://openalex.org/W6713437328","https://openalex.org/W6737689262","https://openalex.org/W7064024297"],"related_works":["https://openalex.org/W3082668976","https://openalex.org/W2517973022","https://openalex.org/W1543121148","https://openalex.org/W1580703421","https://openalex.org/W2618518959","https://openalex.org/W2231364979","https://openalex.org/W4295745414","https://openalex.org/W4382202915","https://openalex.org/W2489516236","https://openalex.org/W4297273858"],"abstract_inverted_index":{"The":[0],"simulation":[1],"of":[2,34,37,39,69,86,94,139,149,156,171,185,189,196,204,227,245],"nonlinear":[3,29,40,71],"components":[4],"is":[5,142,176],"central":[6],"to":[7,119,209],"virtual":[8,265],"analog":[9,266],"simulation.":[10],"In":[11,224],"audio":[12,124,221],"effects,":[13],"circuit":[14],"elements":[15],"often":[16],"include":[17],"devices":[18],"such":[19,48,109],"as":[20,49,58,89,91,110,254,256],"diodes":[21],"and":[22,45,52,65,84,194],"transistors,":[23],"mostly":[24],"operating":[25],"in":[26,134,178,264],"the":[27,35,50,67,82,87,92,98,103,147,154,165,169,174,183,192,197,205,213,225,243,246],"strongly":[28],"regime.":[30],"Mathematical":[31],"models":[32],"are":[33,62,117,199,252],"form":[36,148],"systems":[38],"ordinary":[41],"differential":[42],"equations":[43,262],"(ODEs),":[44],"traditional":[46],"integrators,":[47],"trapezoid":[51],"midpoint":[53],"methods,":[54,116],"can":[55,237],"be":[56,238],"employed":[57],"solvers.":[59],"These":[60,144],"methods":[61,108,167],"fully":[63],"implicit,":[64],"require":[66],"solution":[68,184],"a":[70,137,150,179,186,228],"algebraic":[72],"system":[73,188],"at":[74,122,128,219],"each":[75],"time":[76],"step,":[77],"introducing":[78],"further":[79],"complications":[80],"regarding":[81],"existence":[83,193],"uniqueness":[85,195],"solution,":[88],"well":[90,255],"choice":[93,244],"halting":[95],"conditions":[96,233],"for":[97,234,259],"iterative":[99],"root":[100],"finder.":[101],"On":[102],"other":[104],"hand,":[105],"fast":[106],"explicit":[107,114,211],"Forward":[111],"Euler,":[112],"or":[113],"Runge-Kutta":[115],"prone":[118],"unstable":[120],"behaviour":[121,218],"standard":[123,220],"sample":[125,222],"rates,":[126],"even":[127],"moderate":[129],"amplitudes.":[130],"For":[131],"these":[132],"reasons,":[133],"this":[135],"work":[136],"family":[138],"linearly-implicit":[140],"schemes":[141,145,158,215],"presented.":[143],"take":[146],"perturbation":[151],"expansion,":[152],"making":[153],"construction":[155],"higher-order":[157],"possible.":[159],"Compared":[160,208],"with":[161],"classic":[162,210],"implicit":[163],"designs,":[164,212],"proposed":[166,214],"have":[168],"advantage":[170],"efficiency,":[172],"since":[173],"update":[175,198,206],"computed":[177],"single":[180,229],"iteration,":[181],"through":[182],"linear":[187],"equations.":[190],"Furthermore,":[191],"proven":[200],"by":[201],"simple":[202],"inspection":[203],"matrix.":[207],"display":[216],"stable":[217],"rates.":[223],"case":[226],"scalar":[230],"ODE,":[231],"sufficient":[232],"numerical":[235,257],"stability":[236],"derived,":[239],"imposing":[240],"constraints":[241],"on":[242],"sampling":[247],"rate.":[248],"Several":[249],"theoretical":[250],"results":[251],"provided,":[253],"examples":[258],"typical":[260],"stiff":[261],"used":[263],"modelling.":[267]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-08-12T21:12:35.861297","created_date":"2025-10-10T00:00:00"}