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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

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Stability results for one-step discretized collocation methods in the numerical treatment of Volterra integral equations
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by M. R. Crisci, E. Russo and A. Vecchio PDF
Math. Comp. 58 (1992), 119-134 Request permission

Abstract:

This paper is concerned with the stability analysis of the discretized collocation method for the second-kind Volterra integral equation with degenerate kernel. A fixed-order recurrence relation with variable coefficients is derived, and local stability conditions are given independent of the discretization. Local stability and stability with respect to an isolated perturbation of some methods are proved. The reliability of the derived stability conditions is shown by numerical experiments.
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Math. Comp. 58 (1992), 119-134
  • MSC: Primary 65R20; Secondary 45D05, 45L05
  • DOI: https://doi.org/10.1090/S0025-5718-1992-1106963-7
  • MathSciNet review: 1106963