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An algorithm for the construction of optimal methods for the numerical solution of Volterra integral equations of the first kind


Author: C. J. Gladwin
Journal: Math. Comp. 48 (1987), 625-632
MSC: Primary 65R20; Secondary 45D05
DOI: https://doi.org/10.1090/S0025-5718-1987-0878695-X
MathSciNet review: 878695
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Abstract: Optimal methods for the numerical solution of Volterra integral equations of the first kind are outlined in [3] and [4]. An explicit algorithm for the construction of such methods as well as tables of coefficients for methods with order less than or equal to eight are displayed here.


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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1987-0878695-X
Keywords: Quadrature rule methods, Volterra integral equations of the first kind, numerical stability
Article copyright: © Copyright 1987 American Mathematical Society