Publication:
Numerical analysis of multidomain systems: Coupled nonlinear PDEs and DAEs with noise

dc.contributor.coauthorHanay, M. Selim
dc.contributor.departmentDepartment of Electrical and Electronics Engineering
dc.contributor.kuauthorDemir, Alper
dc.contributor.kuprofileFaculty Member
dc.contributor.yokid3756
dc.date.accessioned2024-11-10T00:05:49Z
dc.date.issued2018
dc.description.abstractWe present a numerical modeling and simulation paradigm for multidomain, multiphysics systems with components modeled both in a lumped and distributed manner. The lumped components are modeled with a system of differential-algebraic equations (DAEs), whereas the possibly nonlinear distributed components that may belong to different physical domains are modeled using partial differential equations (PDEs) with associated boundary conditions. We address a comprehensive suite of problems for nonlinear coupled DAE-PDE systems including 1) transient simulation; 2) periodic steady-state (PSS) analysis formulated as a mixed boundary value problem that is solved with a hierarchical spectral collocation technique based on a joint Fourier-Chebyshev representation, for both forced and autonomous systems; 3) Floquet theory and analysis for coupled linear periodically time-varying DAE-PDE systems; 4) phase noise analysis for multidomain oscillators; and 5) efficient parameter sweeps for PSS and noise analyses based on first-order and pseudo-arclength continuation schemes. All of these techniques, implemented in a prototype simulator, are applied to a substantial case study: a multidomain feedback oscillator composed of distributed and lumped components in two physical domains, namely, a nano-mechanical beam resonator operating in the nonlinear regime, an electrical delay line, an electronic amplifier and a sensor-actuator for the transduction between the two physical domains.
dc.description.indexedbyWoS
dc.description.indexedbyScopus
dc.description.issue7
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.volume37
dc.identifier.doi10.1109/TCAD.2017.2753699
dc.identifier.eissn1937-4151
dc.identifier.issn0278-0070
dc.identifier.scopus2-s2.0-85030624947
dc.identifier.urihttp://dx.doi.org/10.1109/TCAD.2017.2753699
dc.identifier.urihttps://hdl.handle.net/20.500.14288/16502
dc.identifier.wos435558600011
dc.keywordsChebyshev
dc.keywordsFourier representations
dc.keywordsCollocation
dc.keywordsDifferential-algebraic equations (DAEs)
dc.keywordsMixed boundary value problems
dc.keywordsMultidomain systems
dc.keywordsMultiphysics simulation
dc.keywordsNano electro-mechanical systems (NEMS)
dc.keywordsNoise
dc.keywordsOscillators
dc.keywordsPartial differential equations (PDEs)
dc.keywordsPhase noise
dc.keywordsSpectral methods phase noise
dc.keywordsOscillators
dc.keywordsCHEBFUN
dc.keywordsExtension
dc.keywordsBEAM
dc.languageEnglish
dc.publisherIEEE-Inst Electrical Electronics Engineers Inc
dc.sourceIEEE Transactions On Computer-Aided Design of Integrated Circuits and Systems
dc.subjectComputer science
dc.subjectHardware
dc.subjectArchitecture
dc.subjectComputer science
dc.subjectInterdisciplinary applications
dc.subjectEngineering
dc.subjectElectrical
dc.subjectElectronic
dc.titleNumerical analysis of multidomain systems: Coupled nonlinear PDEs and DAEs with noise
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.authorid0000-0002-1927-3960
local.contributor.kuauthorDemir, Alper
local.publication.orgunit1College of Engineering
local.publication.orgunit2Department of Electrical and Electronics Engineering
relation.isOrgUnitOfPublication21598063-a7c5-420d-91ba-0cc9b2db0ea0
relation.isOrgUnitOfPublication.latestForDiscovery21598063-a7c5-420d-91ba-0cc9b2db0ea0

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