Tomoaki Okayama

47 papers Journal 44Unranked 3

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Improvement of Sinc-collocation methods for Volterra-Fredholm integral equations of the second kind and their theoretical analysis. J. Comput. Appl. Math. Tomoaki Okayama
2026	J	`jnl`	Improvement of conformal maps combined with the Sinc approximation for derivatives over infinite intervals. J. Comput. Appl. Math. Tomoaki Okayama, Yuito Kuwashita, Ao Kondo
2025	J	`jnl`	DE-Sinc approximation for unilateral rapidly decreasing functions and its computational error bound. CoRR Tomoaki Okayama
2025	J	`jnl`	Improvement of Sinc-collocation methods for Volterra-Fredholm integral equations of the second kind and their theoretical analysis. CoRR Tomoaki Okayama
2025	J	`jnl`	Improvement of conformal maps combined with the Sinc approximation for derivatives over infinite intervals. CoRR Tomoaki Okayama, Yuito Kuwashita, Ao Kondo
2025	J	`jnl`	On the relationship between two Sinc-collocation methods for Volterra integral equations of the second kind and their further improvement. CoRR Tomoaki Okayama
2025	J	`jnl`	Refinement of the theory and convergence of the Sinc convolution. CoRR Tomoaki Okayama
2024	J	`jnl`	Approximation of derivatives over the finite interval via the Sinc approximation combined with the DE transformation and its theoretical error analysis. JSIAM Lett. Tomoaki Okayama, Tadatoshi Kosaka
2024	J	`jnl`	Explicit error bounds of the SE and DE formulas for integrals with logarithmic and algebraic singularity. CoRR Tomoaki Okayama, Kosei Arakawa, Ryo Kamigaki, Eita Yabumoto
2023	J	`jnl`	Error analyses of Sinc-collocation methods for exponential decay initial value problems. CoRR Tomoaki Okayama, Ryota Hara, Shun'ichi Goto
2023	J	`jnl`	Error analysis of approximation of derivatives by means of the Sinc approximation for double-exponentially decaying functions. JSIAM Lett. Tomoaki Okayama, Ken'ichiro Tanaka
2023	J	`jnl`	Improvement of selection formulas of mesh size and truncation numbers for the DE-Sinc approximation and its theoretical error bound. CoRR Tomoaki Okayama, Shota Ogawa
2023	J	`jnl`	Optimal selection formulas of mesh size and truncation numbers for the double-exponential formula. JSIAM Lett. Tomoaki Okayama, Yuta Kawai
2023	J	`jnl`	Sinc-collocation methods with consistent collocation points for Fredholm integral equations of the second kind. CoRR Tomoaki Okayama
2022	J	`jnl`	Double-exponential formula for infinite integrals of unilateral rapidly decreasing functions. JSIAM Lett. Tomoaki Okayama
2022	J	`jnl`	Theoretical comparison of two conformal maps combined with the trapezoidal formula for the semi-infinite integral of exponentially decaying functions. JSIAM Lett. Tomoaki Okayama, Katsuya Hirohata
2022	J	`jnl`	Yet another DE-Sinc indefinite integration formula. CoRR Tomoaki Okayama, Ken'ichiro Tanaka
2021	J	`jnl`	A modified Stenger's quadrature formula for infinite integrals of unilateral rapidly decreasing functions and its theoretical error bound. Math. Comput. Simul. Tomoaki Okayama, Shu Hanada
2021	J	`jnl`	Improvement of the conformal map combined with the Sinc approximation for unilateral rapidly decreasing functions. JSIAM Lett. Tomoaki Okayama, Tomoya Shiraishi
2021	J	`jnl`	New conformal map for the trapezoidal formula for infinite integrals of unilateral rapidly decreasing functions. J. Comput. Appl. Math. Tomoaki Okayama, Tomoki Nomura, Saki Tsuruta
2020	J	`jnl`	Improvement of selection formulas of mesh size and truncation numbers for the double-exponential formula. JSIAM Lett. Tomoaki Okayama, Chisei Kurogi
2020	J	`jnl`	New conformal map for the Sinc approximation for exponentially decaying functions over the semi-infinite interval. J. Comput. Appl. Math. Tomoaki Okayama, Yuya Shintaku, Eisuke Katsuura
2020	J	`jnl`	New conformal map for the trapezoidal formula for infinite integrals of unilateral rapidly decreasing functions. CoRR Tomoaki Okayama, Tomoki Nomura, Saki Tsuruta
2019	J	`jnl`	Modified SE-Sinc approximation with boundary treatment over the semi-infinite interval and its error bound. JSIAM Lett. Tomoaki Okayama, Ryota Hamada
2018	J	`jnl`	An optimal approximation formula for functions with singularities. J. Approx. Theory Ken'ichiro Tanaka, Tomoaki Okayama, Masaaki Sugihara
2018	J	`jnl`	Error estimates with explicit constants for the Sinc approximation over infinite intervals. Appl. Math. Comput. Tomoaki Okayama
2018	J	`jnl`	New conformal map for the Sinc approximation for exponentially decaying functions over the semi-infinite interval. CoRR Tomoaki Okayama, Yuya Shintaku, Eisuke Katsuura
2018	J	`jnl`	Theoretical analysis of a Sinc-Nyström method for Volterra integro-differential equations and its improvement. Appl. Math. Comput. Tomoaki Okayama
2017	J	`jnl`	Error estimate with explicit constants for the trapezoidal formula combined with Muhammad-Mori's SE transformation for the semi-infinite interval. JSIAM Lett. Tomoaki Okayama, Koichi Machida
2016	J	`jnl`	Error estimates with explicit constants for the Sinc approximation over infinite intervals. CoRR Tomoaki Okayama
2015	—	`conf`	Explicit Error Bound for Modified Numerical Iterated Integration by Means of Sinc Methods. MACIS Tomoaki Okayama
2015	J	`jnl`	Theoretical analysis of Sinc-Nyström methods for Volterra integral equations. Math. Comput. Tomoaki Okayama, Takayasu Matsuo, Masaaki Sugihara
2015	—	`conf`	Verified Error Bounds for the Real Gamma Function Using Double Exponential Formula over Semi-infinite Interval. MACIS Naoya Yamanaka, Tomoaki Okayama, Shin'ichi Oishi
2014	J	`jnl`	Explicit error bound for the tanh rule and the DE formula for integrals with logarithmic singularity. JSIAM Lett. Tomoaki Okayama
2013	J	`jnl`	A note on the Sinc approximationwith boundary treatment. JSIAM Lett. Tomoaki Okayama
2013	J	`jnl`	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 Tomoaki Okayama, Ken'ichiro Tanaka, Takayasu Matsuo, Masaaki Sugihara
2013	J	`jnl`	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 Ken'ichiro Tanaka, Tomoaki Okayama, Takayasu Matsuo, Masaaki Sugihara
2013	J	`jnl`	Error Estimates with Explicit Constants for Sinc Quadrature and Sinc Indefinite Integration over Infinite Intervals CoRR Tomoaki Okayama
2013	J	`jnl`	Error Estimates with Explicit Constants for Sinc Quadrature and Sinc Indefinite Integration over Infinite Intervals. Reliab. Comput. Tomoaki Okayama
2013	J	`jnl`	Error estimates with explicit constants for Sinc approximation, Sinc quadrature and Sinc indefinite integration. Numerische Mathematik Tomoaki Okayama, Takayasu Matsuo, Masaaki Sugihara
2013	J	`jnl`	Explicit error bound for modified numerical iterated integration by means of Sinc methods. CoRR Tomoaki Okayama
2013	J	`jnl`	Theoretical analysis of Sinc-collocation methods and Sinc-Nyström methods for initial value problems CoRR Tomoaki Okayama
2013	J	`jnl`	Theoretical analysis of a Sinc-Nyström method for Volterra integro-differential equations and its improvement. CoRR Tomoaki Okayama
2012	—	`conf`	High-Precision Eigenvalue Bound for the Laplacian with Singularities. ASCM Xuefeng Liu, Tomoaki Okayama, Shin'ichi Oishi
2011	J	`jnl`	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. Tomoaki Okayama, Takayasu Matsuo, Masaaki Sugihara
2010	J	`jnl`	Error estimates with explicit constants for the tanh rule and the DE formula for indefinite integrals. JSIAM Lett. Tomoaki Okayama, Takayasu Matsuo, Masaaki Sugihara
2010	J	`jnl`	Sinc-collocation methods for weakly singular Fredholm integral equations of the second kind. J. Comput. Appl. Math. Tomoaki Okayama, Takayasu Matsuo, Masaaki Sugihara