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    A predictor-corrector scheme for solving the Volterra integral equation

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    Type
    Conference Paper
    Authors
    Al Jarro, Ahmed
    Bagci, Hakan cc
    KAUST Department
    Computational Electromagnetics Laboratory
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Electrical Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2011-08
    Permanent link to this record
    http://hdl.handle.net/10754/564413
    
    Metadata
    Show full item record
    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.
    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
    ISBN
    9781424451173
    DOI
    10.1109/URSIGASS.2011.6050427
    ae974a485f413a2113503eed53cd6c53
    10.1109/URSIGASS.2011.6050427
    Scopus Count
    Collections
    Conference Papers; Physical Science and Engineering (PSE) Division; Electrical Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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