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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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Convergence of a block-by-block method for nonlinear Volterra integro-differential equations
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by Athena Makroglou PDF
Math. Comp. 35 (1980), 783-796 Request permission

Abstract:

The theory of a block-by-block method for solving Volterra integral equations is extended to nonsingular Volterra integro-differential equations. Convergence is proved and a rate of convergence is found. The convergence results obtained are analogous to those obtained by Weiss [12] for Volterra integral equations. Several numerical examples are included.
References
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Math. Comp. 35 (1980), 783-796
  • MSC: Primary 65R20
  • DOI: https://doi.org/10.1090/S0025-5718-1980-0572856-9
  • MathSciNet review: 572856