Tomoaki Okayama

Publication Activity (10 Years)

Years Active: 2010-2023
Publications (10 Years): 21

Top Topics

Theoretical Analysis

Double Exponential

Linear Interpolation

Top Venues

J. Comput. Appl. Math.

Publications

Tomoaki Okayama, Ryota Hara, Shun'ichi Goto
Error analyses of Sinc-collocation methods for exponential decay initial value problems. CoRR (2023)
Tomoaki Okayama, Yuta Kawai
Optimal selection formulas of mesh size and truncation numbers for the double-exponential formula. JSIAM Lett. 15 (2023)
Tomoaki Okayama, Ken'ichiro Tanaka
Error analysis of approximation of derivatives by means of the Sinc approximation for double-exponentially decaying functions. JSIAM Lett. 15 (2023)
Tomoaki Okayama
Sinc-collocation methods with consistent collocation points for Fredholm integral equations of the second kind. CoRR (2023)
Tomoaki Okayama, Shota Ogawa
Improvement of selection formulas of mesh size and truncation numbers for the DE-Sinc approximation and its theoretical error bound. CoRR (2023)
Tomoaki Okayama, Katsuya Hirohata
Theoretical comparison of two conformal maps combined with the trapezoidal formula for the semi-infinite integral of exponentially decaying functions. JSIAM Lett. 14 (2022)
Tomoaki Okayama
Double-exponential formula for infinite integrals of unilateral rapidly decreasing functions. JSIAM Lett. 14 (2022)
Tomoaki Okayama, Ken'ichiro Tanaka
Yet another DE-Sinc indefinite integration formula. CoRR (2022)
Tomoaki Okayama, Tomoya Shiraishi
Improvement of the conformal map combined with the Sinc approximation for unilateral rapidly decreasing functions. JSIAM Lett. 13 (2021)
Tomoaki Okayama, Shu Hanada
A modified Stenger's quadrature formula for infinite integrals of unilateral rapidly decreasing functions and its theoretical error bound. Math. Comput. Simul. 186 (2021)
Tomoaki Okayama, Tomoki Nomura, Saki Tsuruta
New conformal map for the trapezoidal formula for infinite integrals of unilateral rapidly decreasing functions. J. Comput. Appl. Math. 389 (2021)
Tomoaki Okayama, Tomoki Nomura, Saki Tsuruta
New conformal map for the trapezoidal formula for infinite integrals of unilateral rapidly decreasing functions. CoRR (2020)
Tomoaki Okayama, Chisei Kurogi
Improvement of selection formulas of mesh size and truncation numbers for the double-exponential formula. JSIAM Lett. 12 (2020)
Tomoaki Okayama, Yuya Shintaku, Eisuke Katsuura
New conformal map for the Sinc approximation for exponentially decaying functions over the semi-infinite interval. J. Comput. Appl. Math. 373 (2020)
Tomoaki Okayama, Ryota Hamada
Modified SE-Sinc approximation with boundary treatment over the semi-infinite interval and its error bound. JSIAM Lett. 11 (2019)
Ken'ichiro Tanaka, Tomoaki Okayama, Masaaki Sugihara
An optimal approximation formula for functions with singularities. J. Approx. Theory 234 (2018)
Tomoaki Okayama, Yuya Shintaku, Eisuke Katsuura
New conformal map for the Sinc approximation for exponentially decaying functions over the semi-infinite interval. CoRR (2018)
Tomoaki Okayama
Error estimates with explicit constants for the Sinc approximation over infinite intervals. Appl. Math. Comput. 319 (2018)
Tomoaki Okayama
Theoretical analysis of a Sinc-Nyström method for Volterra integro-differential equations and its improvement. Appl. Math. Comput. 324 (2018)
Tomoaki Okayama, Koichi Machida
Error estimate with explicit constants for the trapezoidal formula combined with Muhammad-Mori's SE transformation for the semi-infinite interval. JSIAM Lett. 9 (2017)
Tomoaki Okayama
Error estimates with explicit constants for the Sinc approximation over infinite intervals. CoRR (2016)
Naoya Yamanaka, Tomoaki Okayama, Shin'ichi Oishi
Verified Error Bounds for the Real Gamma Function Using Double Exponential Formula over Semi-infinite Interval. MACIS (2015)
Tomoaki Okayama, Takayasu Matsuo, Masaaki Sugihara
Theoretical analysis of Sinc-Nyström methods for Volterra integral equations. Math. Comput. 84 (293) (2015)
Tomoaki Okayama
Explicit Error Bound for Modified Numerical Iterated Integration by Means of Sinc Methods. MACIS (2015)
Tomoaki Okayama
Explicit error bound for the tanh rule and the DE formula for integrals with logarithmic singularity. JSIAM Lett. 6 (2014)
Tomoaki Okayama, Takayasu Matsuo, Masaaki Sugihara
Error estimates with explicit constants for Sinc approximation, Sinc quadrature and Sinc indefinite integration. Numerische Mathematik 124 (2) (2013)
Ken'ichiro Tanaka, Tomoaki Okayama, Takayasu Matsuo, Masaaki Sugihara
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 125 (3) (2013)
Tomoaki Okayama
Error Estimates with Explicit Constants for Sinc Quadrature and Sinc Indefinite Integration over Infinite Intervals CoRR (2013)
Tomoaki Okayama
A note on the Sinc approximationwith boundary treatment. JSIAM Lett. 5 (2013)
Tomoaki Okayama
Theoretical analysis of Sinc-collocation methods and Sinc-Nyström methods for initial value problems CoRR (2013)
Tomoaki Okayama
Error Estimates with Explicit Constants for Sinc Quadrature and Sinc Indefinite Integration over Infinite Intervals. Reliab. Comput. 19 (1) (2013)
Tomoaki Okayama, Ken'ichiro Tanaka, Takayasu Matsuo, Masaaki Sugihara
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 125 (3) (2013)
Tomoaki Okayama
Theoretical analysis of a Sinc-Nyström method for Volterra integro-differential equations and its improvement. CoRR (2013)
Tomoaki Okayama
Explicit error bound for modified numerical iterated integration by means of Sinc methods. CoRR (2013)
Xuefeng Liu, Tomoaki Okayama, Shin'ichi Oishi
High-Precision Eigenvalue Bound for the Laplacian with Singularities. ASCM (2012)
Tomoaki Okayama, Takayasu Matsuo, Masaaki Sugihara
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. 3 (2011)
Tomoaki Okayama, Takayasu Matsuo, Masaaki Sugihara
Error estimates with explicit constants for the tanh rule and the DE formula for indefinite integrals. JSIAM Lett. 2 (2010)
Tomoaki Okayama, Takayasu Matsuo, Masaaki Sugihara
Sinc-collocation methods for weakly singular Fredholm integral equations of the second kind. J. Comput. Appl. Math. 234 (4) (2010)