Instabilities in time marching methods for scattering: Cause and rectification

P. D. Smith*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

94 Citations (Scopus)


The occurrence of exponentially increasing instabilities is a common feature of time-marching methods for solving an integral equation arising in a transient scattering problem. The cause of this instability is shown to be related to the interior resonances of the scatterer at which the corresponding frequency domain integral equation fails to have a unique solution. This type of instability is eliminated by an averaging process. The necessary modifications to any existing computer programs are trivial and increase computational cost by about 10%.

Original languageEnglish
Pages (from-to)439-451
Number of pages13
Issue number4
Publication statusPublished - 1990
Externally publishedYes


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