TY - GEN
T1 - A predictor-corrector scheme for solving the Volterra integral equation
AU - Al Jarro, Ahmed
AU - Bagci, Hakan
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2011/8
Y1 - 2011/8
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/564413
UR - http://ieeexplore.ieee.org/document/6050427/
UR - http://www.scopus.com/inward/record.url?scp=81255190945&partnerID=8YFLogxK
U2 - 10.1109/URSIGASS.2011.6050427
DO - 10.1109/URSIGASS.2011.6050427
M3 - Conference contribution
SN - 9781424451173
BT - 2011 XXXth URSI General Assembly and Scientific Symposium
PB - Institute of Electrical and Electronics Engineers (IEEE)
ER -