Sinc-collocation methods for weakly singular Fredholm integral equations of the second kind T Okayama, T Matsuo, M Sugihara Journal of Computational and Applied Mathematics 234 (4), 1211-1227, 2010 | 89 | 2010 |
Error estimates with explicit constants for Sinc approximation, Sinc quadrature and Sinc indefinite integration T Okayama, T Matsuo, M Sugihara Numerische Mathematik 124, 361-394, 2013 | 77 | 2013 |
Improvement of a Sinc-collocation method for Fredholm integral equations of the second kind T Okayama, T Matsuo, M Sugihara BIT Numerical Mathematics 51, 339-366, 2011 | 28 | 2011 |
Approximate formulae for fractional derivatives by means of sinc methods T Okayama, T Matsuo, M Sugihara J. Concr. Appl. Math 8 (3), 470-488, 2010 | 17 | 2010 |
DE-Sinc methods have almost the same convergence property as SE-Sinc methods even for a family of functions fitting the SE-Sinc methods: Part I: definite integration and … T Okayama, K Tanaka, T Matsuo, M Sugihara Numerische Mathematik 125, 511-543, 2013 | 15 | 2013 |
Theoretical analysis of Sinc-Nyström methods for Volterra integral equations T Okayama, T Matsuo, M Sugihara Mathematics of Computation 84 (293), 1189-1215, 2015 | 14 | 2015 |
Error estimates with explicit constants for Sinc quadrature and Sinc indefinite integration over infinite intervals T Okayama arXiv preprint arXiv:1302.1314, 2013 | 13 | 2013 |
Theoretical analysis of Sinc-collocation methods and Sinc-Nyström methods for systems of initial value problems T Okayama BIT Numerical Mathematics 58 (1), 199-220, 2018 | 12 | 2018 |
High-precision eigenvalue bound for the Laplacian with singularities X Liu, T Okayama, S Oishi Computer Mathematics: 9th Asian Symposium (ASCM2009), Fukuoka, December 2009 …, 2014 | 10 | 2014 |
DE-Sinc methods have almost the same convergence property as SE-Sinc methods even for a family of functions fitting the SE-Sinc methods: Part II: indefinite integration K Tanaka, T Okayama, T Matsuo, M Sugihara Numerische Mathematik 125, 545-568, 2013 | 9 | 2013 |
Theoretical analysis of a Sinc-Nyström method for Volterra integro-differential equations and its improvement T Okayama Applied Mathematics and Computation 324, 1-15, 2018 | 8 | 2018 |
A Fast Verified Automatic Integration Algorithm using Double Exponential Formula (Numerical Analysis: Theory, Methods and Applications) N Yamanaka, T Okayama, S Oishi, T Ogita 数理解析研究所講究録 1638, 146-158, 2009 | 8 | 2009 |
New conformal map for the Sinc approximation for exponentially decaying functions over the semi-infinite interval T Okayama, Y Shintaku, E Katsuura Journal of Computational and Applied Mathematics 373, 112358, 2020 | 7 | 2020 |
Potential theoretic approach to design of accurate formulas for function approximation in symmetric weighted Hardy spaces K Tanaka, T Okayama, M Sugihara IMA Journal of Numerical Analysis 37 (2), 861-904, 2017 | 7 | 2017 |
Error estimate with explicit constants for the trapezoidal formula combined with Muhammad-Mori's SE transformation for the semi-infinite interval T Okayama, K Machida JSIAM Letters 9, 45-47, 2017 | 7 | 2017 |
Error estimates with explicit constants for the Sinc approximation over infinite intervals T Okayama Applied Mathematics and Computation 319, 125-137, 2018 | 6 | 2018 |
Explicit error bound for Muhammad–Mori’s SE-Sinc indefinite integration formula over the semi-infinite interval R Hara, T Okayama Proceedings of the 2017 International Symposium on Nonlinear Theory and its …, 2017 | 6 | 2017 |
A note on the Sinc approximationwith boundary treatment T Okayama JSIAM Letters 5, 1-4, 2013 | 6 | 2013 |
Error analyses of Sinc-Nyström methods for initial value problems R Hara, T Okayama Nonlinear Theory and Its Applications, IEICE 10 (4), 465-484, 2019 | 5 | 2019 |
Potential theoretic approach to design of accurate numerical integration formulas in weighted Hardy spaces K Tanaka, T Okayama, M Sugihara Approximation Theory XV: San Antonio 2016 15, 335-360, 2017 | 5 | 2017 |