Multistep Methods for Solving Linear Volterra Integral Equations of the First Kind

P. A. W. Holyhead, Sherry A. McKee, Peter J. Taylor · SIAM Journal on Numerical Analysis · 1975

This paper is concerned with deriving sufficient conditions for multistep methods to be convergent. The conditions require that the eigenvalues of a product of companion matrices lie inside the unit circle. A specific high order convergent method is determined and numerical results are presented.

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