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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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On optimal integration methods for Volterra integral equations of the first kind
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by C. J. Gladwin PDF
Math. Comp. 39 (1982), 511-518 Request permission


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 ${l_2}$-norm of the roots of the polynomial is minimized.
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Math. Comp. 39 (1982), 511-518
  • MSC: Primary 65R20; Secondary 45D05, 45L10
  • DOI:
  • MathSciNet review: 669643