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Mathematics of Computation

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ISSN 1088-6842 (online) ISSN 0025-5718 (print)

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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

Abstract:

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: https://doi.org/10.1090/S0025-5718-1982-0669643-1
  • MathSciNet review: 669643