11 citations · 39 across the 17 of their papers we have counts for
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Theoretical analysis of a Sinc-Nyström method for Volterra integro-differential equations and its improvement
Tomoaki Okayama
A Sinc-Nyström method for Volterra integro-differential equations was developed by Zarebnia in 2010. The method is quite efficient in the sense that exponential convergence can be…
Explicit error bound for modified numerical iterated integration by means of Sinc methods
Tomoaki Okayama
This paper reinforces numerical iterated integration developed by Muhammad--Mori in the following two points: 1) the approximation formula is modified so that it can achieve a bett…
Theoretical analysis of Sinc-collocation methods and Sinc-Nyström methods for initial value problems
Tomoaki Okayama
A Sinc-collocation method has been proposed by Stenger, and he also gave theoretical analysis of the method in the case of a `scalar' equation. This paper extends the theoretical r…
Error Estimates with Explicit Constants for Sinc Quadrature and Sinc Indefinite Integration over Infinite Intervals
Tomoaki Okayama
The Sinc quadrature and the Sinc indefinite integration are approximation formulas for definite integration and indefinite integration, respectively, which can be applied on any in…