Sinc-collocation methods for weakly singular Fredholm integral equations of the second kind. - Tomoaki Okayama; Takayasu Matsuo; Masaaki Sugihara (J. Comput. Appl. Math., 2010)

Error estimates with explicit constants for the tanh rule and the DE formula for indefinite integrals. - Tomoaki Okayama; Takayasu Matsuo; Masaaki Sugihara (JSIAM Lett., 2010)

On boundedness of the condition number of the coefficient matrices appearing in Sinc-Nyström methods for Fredholm integral equations of the second kind. - Tomoaki Okayama; Takayasu Matsuo; Masaaki Sugihara (JSIAM Lett., 2011)

High-Precision Eigenvalue Bound for the Laplacian with Singularities. - Xuefeng Liu; Tomoaki Okayama; Shin'ichi Oishi (ASCM, 2012)

Theoretical analysis of Sinc-collocation methods and Sinc-Nyström methods for initial value problems - Tomoaki Okayama (CoRR, 2013)

A note on the Sinc approximationwith boundary treatment. - Tomoaki Okayama (JSIAM Lett., 2013)

Error estimates with explicit constants for Sinc approximation, Sinc quadrature and Sinc indefinite integration. - Tomoaki Okayama; Takayasu Matsuo; Masaaki Sugihara (Numerische Mathematik, 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. - Tomoaki Okayama; Ken'ichiro Tanaka; Takayasu Matsuo; Masaaki Sugihara (Numerische Mathematik, 2013)

Error Estimates with Explicit Constants for Sinc Quadrature and Sinc Indefinite Integration over Infinite Intervals. - Tomoaki Okayama (Reliab. Comput., 2013)

Explicit error bound for the tanh rule and the DE formula for integrals with logarithmic singularity. - Tomoaki Okayama (JSIAM Lett., 2014)

Explicit Error Bound for Modified Numerical Iterated Integration by Means of Sinc Methods. - Tomoaki Okayama (MACIS, 2015)

Verified Error Bounds for the Real Gamma Function Using Double Exponential Formula over Semi-infinite Interval. - Naoya Yamanaka; Tomoaki Okayama; Shin'ichi Oishi (MACIS, 2015)

Theoretical analysis of Sinc-Nyström methods for Volterra integral equations. - Tomoaki Okayama; Takayasu Matsuo; Masaaki Sugihara (Math. Comput., 2015)

Error estimate with explicit constants for the trapezoidal formula combined with Muhammad-Mori's SE transformation for the semi-infinite interval. - Tomoaki Okayama; Koichi Machida (JSIAM Lett., 2017)

Error estimates with explicit constants for the Sinc approximation over infinite intervals. - Tomoaki Okayama (Appl. Math. Comput., 2018)

Theoretical analysis of a Sinc-Nyström method for Volterra integro-differential equations and its improvement. - Tomoaki Okayama (Appl. Math. Comput., 2018)

An optimal approximation formula for functions with singularities. - Ken'ichiro Tanaka; Tomoaki Okayama; Masaaki Sugihara (J. Approx. Theory, 2018)

Modified SE-Sinc approximation with boundary treatment over the semi-infinite interval and its error bound. - Tomoaki Okayama; Ryota Hamada (JSIAM Lett., 2019)

New conformal map for the Sinc approximation for exponentially decaying functions over the semi-infinite interval. - Tomoaki Okayama; Yuya Shintaku; Eisuke Katsuura (J. Comput. Appl. Math., 2020)

Improvement of selection formulas of mesh size and truncation numbers for the double-exponential formula. - Tomoaki Okayama; Chisei Kurogi (JSIAM Lett., 2020)

New conformal map for the trapezoidal formula for infinite integrals of unilateral rapidly decreasing functions. - Tomoaki Okayama; Tomoki Nomura; Saki Tsuruta (J. Comput. Appl. Math., 2021)

Improvement of the conformal map combined with the Sinc approximation for unilateral rapidly decreasing functions. - Tomoaki Okayama; Tomoya Shiraishi (JSIAM Lett., 2021)

A modified Stenger's quadrature formula for infinite integrals of unilateral rapidly decreasing functions and its theoretical error bound. - Tomoaki Okayama; Shu Hanada (Math. Comput. Simul., 2021)

Yet another DE-Sinc indefinite integration formula. - Tomoaki Okayama; Ken'ichiro Tanaka (CoRR, 2022)

Double-exponential formula for infinite integrals of unilateral rapidly decreasing functions. - Tomoaki Okayama (JSIAM Lett., 2022)

Theoretical comparison of two conformal maps combined with the trapezoidal formula for the semi-infinite integral of exponentially decaying functions. - Tomoaki Okayama; Katsuya Hirohata (JSIAM Lett., 2022)

Sinc-collocation methods with consistent collocation points for Fredholm integral equations of the second kind. - Tomoaki Okayama (CoRR, 2023)

Improvement of selection formulas of mesh size and truncation numbers for the DE-Sinc approximation and its theoretical error bound. - Tomoaki Okayama; Shota Ogawa (CoRR, 2023)

Error analyses of Sinc-collocation methods for exponential decay initial value problems. - Tomoaki Okayama; Ryota Hara; Shun'ichi Goto (CoRR, 2023)

Optimal selection formulas of mesh size and truncation numbers for the double-exponential formula. - Tomoaki Okayama; Yuta Kawai (JSIAM Lett., 2023)

Error analysis of approximation of derivatives by means of the Sinc approximation for double-exponentially decaying functions. - Tomoaki Okayama; Ken'ichiro Tanaka (JSIAM Lett., 2023)

Explicit error bounds of the SE and DE formulas for integrals with logarithmic and algebraic singularity. - Tomoaki Okayama; Kosei Arakawa; Ryo Kamigaki; Eita Yabumoto (CoRR, 2024)

Approximation of derivatives over the finite interval via the Sinc approximation combined with the DE transformation and its theoretical error analysis. - Tomoaki Okayama; Tadatoshi Kosaka (JSIAM Lett., 2024)

On the relationship between two Sinc-collocation methods for Volterra integral equations of the second kind and their further improvement. - Tomoaki Okayama (CoRR, 2025)

Improvement of Sinc-collocation methods for Volterra-Fredholm integral equations of the second kind and their theoretical analysis. - Tomoaki Okayama (CoRR, 2025)

Improvement of conformal maps combined with the Sinc approximation for derivatives over infinite intervals. - Tomoaki Okayama; Yuito Kuwashita; Ao Kondo (CoRR, 2025)

Refinement of the theory and convergence of the Sinc convolution. - Tomoaki Okayama (CoRR, 2025)