A predictor-corrector scheme for solving the Volterra integral equation

Handle URI:
http://hdl.handle.net/10754/564413
Title:
A predictor-corrector scheme for solving the Volterra integral equation
Authors:
Al Jarro, Ahmed; Bagci, Hakan ( 0000-0003-3867-5786 )
Abstract:
The occurrence of late time instabilities is a common problem of almost all time marching methods developed for solving time domain integral equations. Implicit marching algorithms are now considered stable with various efforts that have been developed for removing low and high frequency instabilities. On the other hand, literature on stabilizing explicit schemes, which might be considered more efficient since they do not require a matrix inversion at each time step, is practically non-existent. In this work, a stable but still explicit predictor-corrector scheme is proposed for solving the Volterra integral equation and its efficacy is verified numerically. © 2011 IEEE.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Electrical Engineering Program; Computational Electromagnetics Laboratory
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
2011 XXXth URSI General Assembly and Scientific Symposium
Conference/Event name:
2011 30th URSI General Assembly and Scientific Symposium, URSIGASS 2011
Issue Date:
Aug-2011
DOI:
10.1109/URSIGASS.2011.6050427
Type:
Conference Paper
ISBN:
9781424451173
Appears in Collections:
Conference Papers; Physical Sciences and Engineering (PSE) Division; Electrical Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorAl Jarro, Ahmeden
dc.contributor.authorBagci, Hakanen
dc.date.accessioned2015-08-04T06:26:47Zen
dc.date.available2015-08-04T06:26:47Zen
dc.date.issued2011-08en
dc.identifier.isbn9781424451173en
dc.identifier.doi10.1109/URSIGASS.2011.6050427en
dc.identifier.urihttp://hdl.handle.net/10754/564413en
dc.description.abstractThe occurrence of late time instabilities is a common problem of almost all time marching methods developed for solving time domain integral equations. Implicit marching algorithms are now considered stable with various efforts that have been developed for removing low and high frequency instabilities. On the other hand, literature on stabilizing explicit schemes, which might be considered more efficient since they do not require a matrix inversion at each time step, is practically non-existent. In this work, a stable but still explicit predictor-corrector scheme is proposed for solving the Volterra integral equation and its efficacy is verified numerically. © 2011 IEEE.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.titleA predictor-corrector scheme for solving the Volterra integral equationen
dc.typeConference Paperen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentElectrical Engineering Programen
dc.contributor.departmentComputational Electromagnetics Laboratoryen
dc.identifier.journal2011 XXXth URSI General Assembly and Scientific Symposiumen
dc.conference.date13 August 2011 through 20 August 2011en
dc.conference.name2011 30th URSI General Assembly and Scientific Symposium, URSIGASS 2011en
dc.conference.locationIstanbulen
kaust.authorAl Jarro, Ahmeden
kaust.authorBagci, Hakanen
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