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Tomoaki Okayama
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2020 – today
- 2023
- [j24]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: 5-8 (2023) - [j23]Tomoaki Okayama
Optimal selection formulas of mesh size and truncation numbers for the double-exponential formula. JSIAM Lett. 15: 81-84 (2023) - [i11]Tomoaki Okayama:
Sinc-collocation methods with consistent collocation points for Fredholm integral equations of the second kind. CoRR abs/2301.12692 (2023) - [i10]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 abs/2303.08334 (2023) - [i9]Tomoaki Okayama, Ryota Hara, Shun'ichi Goto:
Error analyses of Sinc-collocation methods for exponential decay initial value problems. CoRR abs/2306.15175 (2023) - 2022
- [j22]Tomoaki Okayama:
Double-exponential formula for infinite integrals of unilateral rapidly decreasing functions. JSIAM Lett. 14: 17-20 (2022) - [j21]Tomoaki Okayama
Theoretical comparison of two conformal maps combined with the trapezoidal formula for the semi-infinite integral of exponentially decaying functions. JSIAM Lett. 14: 77-79 (2022) - [i8]Tomoaki Okayama, Ken'ichiro Tanaka:
Yet another DE-Sinc indefinite integration formula. CoRR abs/2203.03898 (2022) - 2021
- [j20]Tomoaki Okayama
New conformal map for the trapezoidal formula for infinite integrals of unilateral rapidly decreasing functions. J. Comput. Appl. Math. 389: 113354 (2021) - [j19]Tomoaki Okayama, Tomoya Shiraishi:
Improvement of the conformal map combined with the Sinc approximation for unilateral rapidly decreasing functions. JSIAM Lett. 13: 37-39 (2021) - [j18]Tomoaki Okayama
A modified Stenger's quadrature formula for infinite integrals of unilateral rapidly decreasing functions and its theoretical error bound. Math. Comput. Simul. 186: 3-18 (2021) - 2020
- [j17]Tomoaki Okayama
New conformal map for the Sinc approximation for exponentially decaying functions over the semi-infinite interval. J. Comput. Appl. Math. 373: 112358 (2020) - [j16]Tomoaki Okayama, Chisei Kurogi:
Improvement of selection formulas of mesh size and truncation numbers for the double-exponential formula. JSIAM Lett. 12: 13-16 (2020) - [i7]Tomoaki Okayama, Tomoki Nomura, Saki Tsuruta:
New conformal map for the trapezoidal formula for infinite integrals of unilateral rapidly decreasing functions. CoRR abs/2005.04577 (2020)
2010 – 2019
- 2019
- [j15]Tomoaki Okayama
Modified SE-Sinc approximation with boundary treatment over the semi-infinite interval and its error bound. JSIAM Lett. 11: 5-7 (2019) - 2018
- [j14]Tomoaki Okayama
Error estimates with explicit constants for the Sinc approximation over infinite intervals. Appl. Math. Comput. 319: 125-137 (2018) - [j13]Tomoaki Okayama
Theoretical analysis of a Sinc-Nyström method for Volterra integro-differential equations and its improvement. Appl. Math. Comput. 324: 1-15 (2018) - [j12]Ken'ichiro Tanaka
An optimal approximation formula for functions with singularities. J. Approx. Theory 234: 82-107 (2018) - [i6]Tomoaki Okayama, Yuya Shintaku, Eisuke Katsuura:
New conformal map for the Sinc approximation for exponentially decaying functions over the semi-infinite interval. CoRR abs/1812.11546 (2018) - 2017
- [j11]Tomoaki Okayama
Error estimate with explicit constants for the trapezoidal formula combined with Muhammad-Mori's SE transformation for the semi-infinite interval. JSIAM Lett. 9: 45-47 (2017) - 2016
- [i5]Tomoaki Okayama:
Error estimates with explicit constants for the Sinc approximation over infinite intervals. CoRR abs/1610.06685 (2016) - 2015
- [j10]Tomoaki Okayama
Theoretical analysis of Sinc-Nyström methods for Volterra integral equations. Math. Comput. 84(293): 1189-1215 (2015) - [c3]Tomoaki Okayama
Explicit Error Bound for Modified Numerical Iterated Integration by Means of Sinc Methods. MACIS 2015: 202-217 - [c2]Naoya Yamanaka, Tomoaki Okayama
Verified Error Bounds for the Real Gamma Function Using Double Exponential Formula over Semi-infinite Interval. MACIS 2015: 224-228 - 2014
- [j9]Tomoaki Okayama
Explicit error bound for the tanh rule and the DE formula for integrals with logarithmic singularity. JSIAM Lett. 6: 9-11 (2014) - 2013
- [j8]Tomoaki Okayama
A note on the Sinc approximationwith boundary treatment. JSIAM Lett. 5: 1-4 (2013) - [j7]Tomoaki Okayama
Error estimates with explicit constants for Sinc approximation, Sinc quadrature and Sinc indefinite integration. Numerische Mathematik 124(2): 361-394 (2013) - [j6]Tomoaki Okayama
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): 511-543 (2013) - [j5]Ken'ichiro Tanaka
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): 545-568 (2013) - [j4]Tomoaki Okayama:
Error Estimates with Explicit Constants for Sinc Quadrature and Sinc Indefinite Integration over Infinite Intervals. Reliab. Comput. 19(1): 45-65 (2013) - [i4]Tomoaki Okayama:
Error Estimates with Explicit Constants for Sinc Quadrature and Sinc Indefinite Integration over Infinite Intervals. CoRR abs/1302.1314 (2013) - [i3]Tomoaki Okayama:
Theoretical analysis of Sinc-collocation methods and Sinc-Nyström methods for initial value problems. CoRR abs/1304.6508 (2013) - [i2]Tomoaki Okayama:
Explicit error bound for modified numerical iterated integration by means of Sinc methods. CoRR abs/1306.6615 (2013) - [i1]Tomoaki Okayama:
Theoretical analysis of a Sinc-Nyström method for Volterra integro-differential equations and its improvement. CoRR abs/1310.7708 (2013) - 2012
- [c1]Xuefeng Liu, Tomoaki Okayama
High-Precision Eigenvalue Bound for the Laplacian with Singularities. ASCM 2012: 311-323 - 2011
- [j3]Tomoaki Okayama
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: 81-84 (2011) - 2010
- [j2]Tomoaki Okayama
Sinc-collocation methods for weakly singular Fredholm integral equations of the second kind. J. Comput. Appl. Math. 234(4): 1211-1227 (2010) - [j1]Tomoaki Okayama
Error estimates with explicit constants for the tanh rule and the DE formula for indefinite integrals. JSIAM Lett. 2: 13-16 (2010)
Coauthor Index
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