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On Optimal Integration Methods for Volterra Integral Equations of the First Kind
1982
Mathematics of Computation
Preserved Fulltext
Families of methods depending on free parameters are constructed for the solution of nonsingular Volterra integral equations of the first kind in [5] . These parameters are restricted to certain regions in order that a certain polynomial satisfies both a stability and a consistency condition. In this note an optimal choice of the free parameters is outlined in order that the /2-norm of the roots of the polynomial is minimized.
doi:10.2307/2007328
fatcat:b2ons42lfjgubcko2cgqvtuznq