Tomoaki Okayama
Orcid: 0000-0001-9942-1670
According to our database1,
Tomoaki Okayama
authored at least 31 papers
between 2010 and 2023.
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Bibliography
2023
Error analysis of approximation of derivatives by means of the Sinc approximation for double-exponentially decaying functions.
JSIAM Lett., 2023
Optimal selection formulas of mesh size and truncation numbers for the double-exponential formula.
JSIAM Lett., 2023
Error analyses of Sinc-collocation methods for exponential decay initial value problems.
CoRR, 2023
Improvement of selection formulas of mesh size and truncation numbers for the DE-Sinc approximation and its theoretical error bound.
CoRR, 2023
Sinc-collocation methods with consistent collocation points for Fredholm integral equations of the second kind.
CoRR, 2023
2022
Theoretical comparison of two conformal maps combined with the trapezoidal formula for the semi-infinite integral of exponentially decaying functions.
JSIAM Lett., 2022
Double-exponential formula for infinite integrals of unilateral rapidly decreasing functions.
JSIAM Lett., 2022
2021
A modified Stenger's quadrature formula for infinite integrals of unilateral rapidly decreasing functions and its theoretical error bound.
Math. Comput. Simul., 2021
Improvement of the conformal map combined with the Sinc approximation for unilateral rapidly decreasing functions.
JSIAM Lett., 2021
New conformal map for the trapezoidal formula for infinite integrals of unilateral rapidly decreasing functions.
J. Comput. Appl. Math., 2021
2020
Improvement of selection formulas of mesh size and truncation numbers for the double-exponential formula.
JSIAM Lett., 2020
New conformal map for the Sinc approximation for exponentially decaying functions over the semi-infinite interval.
J. Comput. Appl. Math., 2020
2019
Modified SE-Sinc approximation with boundary treatment over the semi-infinite interval and its error bound.
JSIAM Lett., 2019
2018
J. Approx. Theory, 2018
Theoretical analysis of a Sinc-Nyström method for Volterra integro-differential equations and its improvement.
Appl. Math. Comput., 2018
Error estimates with explicit constants for the Sinc approximation over infinite intervals.
Appl. Math. Comput., 2018
2017
Error estimate with explicit constants for the trapezoidal formula combined with Muhammad-Mori's SE transformation for the semi-infinite interval.
JSIAM Lett., 2017
2015
Math. Comput., 2015
Verified Error Bounds for the Real Gamma Function Using Double Exponential Formula over Semi-infinite Interval.
Proceedings of the Mathematical Aspects of Computer and Information Sciences, 2015
Explicit Error Bound for Modified Numerical Iterated Integration by Means of Sinc Methods.
Proceedings of the Mathematical Aspects of Computer and Information Sciences, 2015
2014
Explicit error bound for the tanh rule and the DE formula for integrals with logarithmic singularity.
JSIAM Lett., 2014
2013
Error Estimates with Explicit Constants for Sinc Quadrature and Sinc Indefinite Integration over Infinite Intervals.
Reliab. Comput., 2013
DE-Sinc methods have almost the same convergence property as SE-Sinc methods even for a family of functions fitting the SE-Sinc methods.
Numerische Mathematik, 2013
Error estimates with explicit constants for Sinc approximation, Sinc quadrature and Sinc indefinite integration.
Numerische Mathematik, 2013
Theoretical analysis of Sinc-collocation methods and Sinc-Nyström methods for initial value problems
CoRR, 2013
2012
Proceedings of the Computer Mathematics, 2012
2011
On boundedness of the condition number of the coefficient matrices appearing in Sinc-Nyström methods for Fredholm integral equations of the second kind.
JSIAM Lett., 2011
2010
Error estimates with explicit constants for the tanh rule and the DE formula for indefinite integrals.
JSIAM Lett., 2010
Sinc-collocation methods for weakly singular Fredholm integral equations of the second kind.
J. Comput. Appl. Math., 2010