Book and thesis
Books
Numerical Methods with Variable Transformations (Co-authored) 2023/05/17
Books
Differential equation for students in the science and engineering majors,pp.51-75, 141-162 (Co-authored) 2021/12/20
Books
Calculus for students in the science and engineering majors,pp.104-128 (Co-authored) 2017/02/28
Books
Handbook of Applied Mathematics,pp.384-387 (Co-authored) 2013/11/15
Papers
Approximation of derivatives over the finite interval via the Sinc approximation combined with the DE transformation and its theoretical error analysis JSIAM Letters 16,pp.77-80 (Co-authored) 2024/09/13
Papers
Error analyses of Sinc-collocation methods for exponential decay initial value problems (Co-authored) 2024/07/01
Papers
Improvement of selection formulas of mesh size and truncation numbers for the DE-Sinc approximation and its theoretical error bound Japan Journal of Industrial and Applied Mathematics 41,pp.821-836 (Co-authored) 2024/05
Papers
Sinc collocation method for initial value problems for ordinary differential equations Bulletin of the Japan Society for Industrial and Applied Mathematics,pp.213-221 (Co-authored) 2023/12/25
Papers
Numerical indefinite integration formulas derived from the Sinc approximation Bulletin of the Japan Society for Industrial and Applied Mathematics,pp.152-163 (Co-authored) 2023/09/21
Papers
Optimal selection formulas of mesh size and truncation numbers for the double-exponential formula JSIAM Letters,pp.81-84 (Co-authored) 2023/08/25
Papers
Sinc-collocation methods with consistent collocation points for Fredholm integral equations of the second kind Dolomites Research Notes on Approximation,pp.63-74 (Sole-authored) 2023/07
Papers
Proof of theoretical error analyses of the Sinc approximation over a finite interval Bulletin of the Japan Society for Industrial and Applied Mathematics,pp.94-102 (Co-authored) 2023/06/23
Papers
Introduction to Sinc numerical methods Bulletin of the Japan Society for Industrial and Applied Mathematics,pp.40-47 (Co-authored) 2023/03/24
Papers
Error analysis of approximation of derivatives by means of the Sinc approximation for double-exponentially decaying functions JSIAM Letters,pp.5-8 (Co-authored) 2023/01/18
Papers
Corrected error bound for the real gamma function using the DE formula Proceedings of the 2022 International Symposium on Nonlinear Theory and its Applications,pp.593-596 (Co-authored) 2022/12/12
Papers
Yet another DE-Sinc indefinite integration formula Dolomites Research Notes on Approximation,pp.105-116 (Co-authored) 2022/10
Papers
Theoretical comparison of two conformal maps combined with the trapezoidal formula for the semi-infinite integral of exponentially decaying functions JSIAM Letters,pp.77-79 (Co-authored) 2022/06/15
Papers
Double-exponential formula for infinite integrals of unilateral rapidly decreasing functions JSIAM Letters,pp.17-20 (Sole-authored) 2022/02/27
Papers
A modified Stenger's quadrature formula for infinite integrals of unilateral rapidly decreasing functions and its theoretical error bound Mathematics and Computers in Simulation,pp.3-18 (Co-authored) 2021/08
Papers
Improvement of the conformal map combined with the Sinc approximation for unilateral rapidly decreasing functions JSIAM Letters,pp.37-39 (Co-authored) 2021/07/17
Papers
New conformal map for the trapezoidal formula for infinite integrals of unilateral rapidly decreasing functions Journal of Computational and Applied Mathematics,pp.113354 (Co-authored) 2021/06
Papers
Sinc-collocation methods for exponential decay initial value problems Proceedings of the 2020 International Symposium on Nonlinear Theory and its Applications,pp.509-512 (Co-authored) 2020/11
Papers
New conformal map for the Sinc approximation for exponentially decaying functions over the semi-infinite interval Journal of Computational and Applied Mathematics (Co-authored) 2020/08/01
Papers
Improvement of selection formulas of mesh size and truncation numbers for the double-exponential formula JSIAM Letters,pp.13-16 (Co-authored) 2020/03/25
Papers
Error analyses of Sinc-Nyström methods for initial value problems Nonlinear Theory and Its Applications, IEICE,pp.465-484 (Co-authored) 2019/10/01
Papers
Modified SE-Sinc approximation with boundary treatment over the semi-infinite interval and its error bound JSIAM Letters,pp.5-7 (Co-authored) 2019/02/27
Papers
An optimal approximation formula for functions with singularities Journal of Approximation Theory,pp.82-107 (Co-authored) 2018/10
Papers
Improvement of Sinc-Nyström methods for initial value problems Proceedings of the 2018 International Symposium on Nonlinear Theory and its Applications,pp.651-654 (Co-authored) 2018/09
Papers
Numerical algorithm for sine integral with verification Proceedings of The 37th JSST Annual International Conference on Simulation Technology,pp.129-131 (Co-authored) 2018/09
Papers
Theoretical analysis of a Sinc-Nyström method for Volterra integro-differential equations and its improvement Applied Mathematics and Computation,pp.1-15 (Sole-authored) 2018/05/01
Papers
Theoretical analysis of Sinc-collocation methods and Sinc-Nyström methods for systems of initial value problems BIT Numerical Mathematics,pp.199-220 (Sole-authored) 2018/03
Papers
Error estimates with explicit constants for the Sinc approximation over infinite intervals Applied Mathematics and Computation,pp.125-137 (Sole-authored) 2018/02/15
Papers
Explicit error bound for Muhammad-Mori's SE-Sinc indefinite integration formula over the semi-infinite interval Proceedings of the 2017 International Symposium on Nonlinear Theory and its Applications,pp.677-680 (Co-authored) 2017/12
Papers
Verified algorithm for gamma function using double exponential formula and its applications Proceedings of The 36th JSST Annual International Conference on Simulation Technology,pp.222-225 (Co-authored) 2017/10
Papers
Potential theoretic approach to design of accurate numerical integration formulas in weighted Hardy spaces Approximation Theory XV: San Antonio 2016,pp.335-360 (Co-authored) 2017/07/22
Papers
Error estimate with explicit constants for the trapezoidal formula combined with Muhammad-Mori's SE transformation for the semi-infinite interval JSIAM Letters,pp.45-47 (Co-authored) 2017/05/26
Papers
Potential theoretic approach to design of accurate formulas for function approximation in symmetric weighted Hardy spaces IMA Journal of Numerical Analysis,pp.861-904 (Co-authored) 2017/04
Papers
A function approximation formula using the Ganelius sampling points Transactions of the Japan Society for Industrial and Applied Mathematics,pp.1-20 (Co-authored) 2017/03/25
Papers
Explicit error bound for modified numerical iterated integration by means of Sinc methods Lecture Notes in Computer Science,pp.202-217 (Sole-authored) 2016/04/16
Papers
Verified error bounds for the real gamma function using double exponential formula over semi-infinite interval Lecture Notes in Computer Science,pp.224-228 (Co-authored) 2016/04/16
Papers
Theoretical analysis of Sinc-Nyström methods for Volterra integral equations Mathematics of Computation,pp.1189-1215 (Co-authored) 2015/05
Papers
Improvement of a Sinc-collocation method for Fredholm integro-differential equations AIP Conference Proceedings,pp.1-4 (Sole-authored) 2015/03/10
Papers
High-precision eigenvalue bound for the Laplacian with singularities Computer Mathematics (eds. Ruyong Feng, Wen-shin Lee and Yosuke Sato),pp.311-323 (Co-authored) 2014/10/01
Papers
Modified Sinc-collocation methods for integral equations of the second kind and their theoretical analysis Bulletin of the Japan Society for Industrial and Applied Mathematics,pp.14-18 (Sole-authored) 2014/09/25
Papers
Explicit error bound for the tanh rule and the DE formula for integrals with logarithmic singularity JSIAM Letters,pp.9-11 (Sole-authored) 2014/04/17
Papers
Error estimates with explicit constants for Sinc quadrature and Sinc indefinite integration over infinite intervals Reliable Computing,pp.45-65 (Sole-authored) 2013/12
Papers
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 function approximation Numerische Mathematik,pp.511-543 (Co-authored) 2013/11/01
Papers
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 Numerische Mathematik,pp.545-568 (Co-authored) 2013/11/01
Papers
Error estimates with explicit constants for Sinc approximation, Sinc quadrature and Sinc indefinite integration Numerische Mathematik,pp.361-394 (Co-authored) 2013/06/01
Papers
A note on the Sinc approximation with boundary treatment JSIAM Letters,pp.1-4 (Sole-authored) 2013/02/07
Papers
Theoretical analysis of Sinc methods for integral equations of the second kind from a practical viewpoint Transactions of the Japan Society for Industrial and Applied Mathematics,pp.181-212 (Sole-authored) 2012/09/25
Papers
On boundedness of the condition number of the coefficient matrices appearing in Sinc-Nyström methods for Fredholm integral equations of the second kind JSIAM Letters,pp.81-84 (Co-authored) 2011/11/30
Papers
Improvement of a Sinc-collocation method for Fredholm integral equations of the second kind BIT Numerical Mathematics,pp.339-366 (Co-authored) 2011/06/01
Papers
A fast verified automatic integration algorithm using double exponential formula Nonlinear Theory and Its Applications, IEICE,pp.119-132 (Co-authored) 2010/10/01
Papers
Approximate formulae for fractional derivatives by means of Sinc methods Journal of Concrete and Applicable Mathematics,pp.470-488 (Co-authored) 2010/07
Papers
Modified Sinc-collocation methods for integral equations of the second kind and their theoretical analysis Transactions of the Japan Society for Industrial and Applied Mathematics,pp.71-113 (Co-authored) 2010/06/25
Papers
Sinc-collocation methods for weakly singular Fredholm integral equations of the second kind Journal of Computational and Applied Mathematics,pp.1211-1227 (Co-authored) 2010/06/15
Papers
Error estimates with explicit constants for the tanh rule and the DE formula for indefinite integrals JSIAM Letters,pp.13-16 (Co-authored) 2010/03/12
Papers
A fast automatic integration algorithm using double exponential formula based on verification theory Proceedings of the 24th International Technical Conference on Circuits/Systems, Computers and Communications,pp.161-164 (Co-authored) 2009/07
Papers
A fast verified automatic integration algorithm using double exponential formula RIMS Kôkyûroku,pp.146-158 (Co-authored) 2009/04
Papers
Sinc methods for integral equations of the second kind and their theoretical analysis RIMS Kôkyûroku,pp.38-55 (Co-authored) 2009/04
Papers
Numerical calculation of fractional derivatives using automatic differentiation and double exponential formula Transactions of the Japan Society for Industrial and Applied Mathematics,pp.51-65 (Co-authored) 2006/03/25