教員総覧 - 岡山　友昭 | 広島市立大学

オカヤマ　トモアキ Okayama Tomoaki
岡山　友昭

所属広島市立大学大学院情報科学研究科システム工学専攻

広島市立大学情報科学部システム工学科

職種准教授

著書・論文歴
著書	変数変換型数値計算法 (共著) 2023/05/17
著書	理工系学生のための微分方程式,51-75, 141-162 (共著) 2021/12/20
著書	理工系学生のための微分積分,104-128頁 (共著) 2017/02/28
著書	応用数理ハンドブック,384-387頁 (共著) 2013/11/15
論文	Approximation of derivatives over the finite interval via the Sinc approximation combined with the DE transformation and its theoretical error analysis JSIAM Letters 16,77-80頁 (共著) 2024/09/13
論文	Error analyses of Sinc-collocation methods for exponential decay initial value problems (共著) 2024/07/01
論文	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 41,821-836頁 (共著) 2024/05
論文	常微分方程式の初期値問題に対するSinc選点法応用数理 33 (4),213-221頁 (共著) 2023/12/25
論文	Sinc関数近似から導かれる数値不定積分公式応用数理 33 (3),152-163頁 (共著) 2023/09/21
論文	Optimal selection formulas of mesh size and truncation numbers for the double-exponential formula JSIAM Letters 15,81-84頁 (共著) 2023/08/25
論文	Sinc-collocation methods with consistent collocation points for Fredholm integral equations of the second kind Dolomites Research Notes on Approximation 16 (3),63-74頁 (単著) 2023/07
論文	有限区間におけるSinc関数近似の理論誤差評価の証明応用数理 33 (2),94-102頁 (共著) 2023/06/23
論文	Sinc数値計算法序論応用数理 33 (1),40-47頁 (共著) 2023/03/24
論文	Error analysis of approximation of derivatives by means of the Sinc approximation for double-exponentially decaying functions JSIAM Letters 15,5-8頁 (共著) 2023/01/18
論文	Corrected error bound for the real gamma function using the DE formula Proceedings of the 2022 International Symposium on Nonlinear Theory and its Applications,593-596頁 (共著) 2022/12/12
論文	Yet another DE-Sinc indefinite integration formula Dolomites Research Notes on Approximation 15 (3),105-116頁 (共著) 2022/10
論文	Theoretical comparison of two conformal maps combined with the trapezoidal formula for the semi-infinite integral of exponentially decaying functions JSIAM Letters 14,77-79頁 (共著) 2022/06/15
論文	Double-exponential formula for infinite integrals of unilateral rapidly decreasing functions JSIAM Letters 14,17-20頁 (単著) 2022/02/27
論文	A modified Stenger's quadrature formula for infinite integrals of unilateral rapidly decreasing functions and its theoretical error bound Mathematics and Computers in Simulation 186,3-18頁 (共著) 2021/08
論文	Improvement of the conformal map combined with the Sinc approximation for unilateral rapidly decreasing functions JSIAM Letters 13,37-39頁 (共著) 2021/07/17
論文	New conformal map for the trapezoidal formula for infinite integrals of unilateral rapidly decreasing functions Journal of Computational and Applied Mathematics 389,113354 (共著) 2021/06
論文	Sinc-collocation methods for exponential decay initial value problems Proceedings of the 2020 International Symposium on Nonlinear Theory and its Applications,509-512頁 (共著) 2020/11
論文	New conformal map for the Sinc approximation for exponentially decaying functions over the semi-infinite interval Journal of Computational and Applied Mathematics 373 (112358) (共著) 2020/08/01
論文	Improvement of selection formulas of mesh size and truncation numbers for the double-exponential formula JSIAM Letters 12,13-16頁 (共著) 2020/03/25
論文	Error analyses of Sinc-Nyström methods for initial value problems Nonlinear Theory and Its Applications, IEICE 10 (4),465-484頁 (共著) 2019/10/01
論文	教員養成系学部をもたない大学での数学科教育法の授業の実践例について 2019年度数学教育学会秋季例会予稿集,99-101頁 (共著) 2019/09/17
論文	Modified SE-Sinc approximation with boundary treatment over the semi-infinite interval and its error bound JSIAM Letters 11,5-7頁 (共著) 2019/02/27
論文	An optimal approximation formula for functions with singularities Journal of Approximation Theory 234,82-107頁 (共著) 2018/10
論文	Improvement of Sinc-Nyström methods for initial value problems Proceedings of the 2018 International Symposium on Nonlinear Theory and its Applications,651-654頁 (共著) 2018/09
論文	Numerical algorithm for sine integral with verification Proceedings of The 37th JSST Annual International Conference on Simulation Technology,129-131頁 (共著) 2018/09
論文	Theoretical analysis of a Sinc-Nyström method for Volterra integro-differential equations and its improvement Applied Mathematics and Computation 324,1-15頁 (単著) 2018/05/01
論文	Theoretical analysis of Sinc-collocation methods and Sinc-Nyström methods for systems of initial value problems BIT Numerical Mathematics 58 (1),199-220頁 (単著) 2018/03
論文	Error estimates with explicit constants for the Sinc approximation over infinite intervals Applied Mathematics and Computation 319,125-137頁 (単著) 2018/02/15
論文	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,677-680頁 (共著) 2017/12
論文	Verified algorithm for gamma function using double exponential formula and its applications Proceedings of The 36th JSST Annual International Conference on Simulation Technology,222-225頁 (共著) 2017/10
論文	Potential theoretic approach to design of accurate numerical integration formulas in weighted Hardy spaces Approximation Theory XV: San Antonio 2016,335-360頁 (共著) 2017/07/22
論文	Error estimate with explicit constants for the trapezoidal formula combined with Muhammad-Mori's SE transformation for the semi-infinite interval JSIAM Letters 9,45-47頁 (共著) 2017/05/26
論文	Potential theoretic approach to design of accurate formulas for function approximation in symmetric weighted Hardy spaces IMA Journal of Numerical Analysis 37 (2),861-904頁 (共著) 2017/04
論文	Ganelius標本点を用いた関数近似公式日本応用数理学会論文誌 27 (1),1-20頁 (共著) 2017/03/25
論文	高等学校の確率分野における基本的な用語の定義の差異について 2017年度数学教育学会春季年会予稿集,146-148頁 (共著) 2017/03/25
論文	高等学校の統計分野における基本的な用語の定義の差異について 2017年度数学教育学会春季年会予稿集,224-226頁 (共著) 2017/03/25
論文	Explicit error bound for modified numerical iterated integration by means of Sinc methods Lecture Notes in Computer Science 9582,202-217頁 (単著) 2016/04/16
論文	Verified error bounds for the real gamma function using double exponential formula over semi-infinite interval Lecture Notes in Computer Science 9582,224-228頁 (共著) 2016/04/16
論文	Theoretical analysis of Sinc-Nyström methods for Volterra integral equations Mathematics of Computation 84 (293),1189-1215頁 (共著) 2015/05
論文	内積の誤用に対する指導について 2015年度数学教育学会春季年会発表論文集,196-198頁 (共著) 2015/03/23
論文	非存在定理を大学初年次の数学教育において活用することのすすめ 2015年度数学教育学会春季年会発表論文集,199-201頁 (共著) 2015/03/23
論文	Improvement of a Sinc-collocation method for Fredholm integro-differential equations AIP Conference Proceedings 1648 (390008),1-4頁 (単著) 2015/03/10
論文	High-precision eigenvalue bound for the Laplacian with singularities Computer Mathematics (eds. Ruyong Feng, Wen-shin Lee and Yosuke Sato),311-323頁 (共著) 2014/10/01
論文	√(a^2)=\|a\|の大学数学教育における影響 2014年度数学教育学会秋季例会発表論文集,89-91頁 (共著) 2014/09/26
論文	第二種積分方程式に対する Sinc 選点法の改良とその理論解析応用数理 24 (3),14-18頁 (単著) 2014/09/25
論文	Explicit error bound for the tanh rule and the DE formula for integrals with logarithmic singularity JSIAM Letters 6,9-11頁 (単著) 2014/04/17
論文	Error estimates with explicit constants for Sinc quadrature and Sinc indefinite integration over infinite intervals Reliable Computing 19 (1),45-65頁 (単著) 2013/12
論文	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 125 (3),511-543頁 (共著) 2013/11/01
論文	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 125 (3),545-568頁 (共著) 2013/11/01
論文	Error estimates with explicit constants for Sinc approximation, Sinc quadrature and Sinc indefinite integration Numerische Mathematik 124 (2),361-394頁 (共著) 2013/06/01
論文	A note on the Sinc approximation with boundary treatment JSIAM Letters 5,1-4頁 (単著) 2013/02/07
論文	第二種積分方程式に対するSinc法の実用的視点からの理論解析日本応用数理学会論文誌 22 (3),181-212頁 (単著) 2012/09/25
論文	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 3,81-84頁 (共著) 2011/11/30
論文	Improvement of a Sinc-collocation method for Fredholm integral equations of the second kind BIT Numerical Mathematics 51 (2),339-366頁 (共著) 2011/06/01
論文	A fast verified automatic integration algorithm using double exponential formula Nonlinear Theory and Its Applications, IEICE 1 (1),119-132頁 (共著) 2010/10/01
論文	Approximate formulae for fractional derivatives by means of Sinc methods Journal of Concrete and Applicable Mathematics 8 (3),470-488頁 (共著) 2010/07
論文	第二種積分方程式に対するSinc選点法の改良とその理論解析日本応用数理学会論文誌 20 (2),71-113頁 (共著) 2010/06/25
論文	Sinc-collocation methods for weakly singular Fredholm integral equations of the second kind Journal of Computational and Applied Mathematics 234 (4),1211-1227頁 (共著) 2010/06/15
論文	Error estimates with explicit constants for the tanh rule and the DE formula for indefinite integrals JSIAM Letters 2,13-16頁 (共著) 2010/03/12
論文	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,161-164頁 (共著) 2009/07
論文	A fast verified automatic integration algorithm using double exponential formula 数理解析研究所講究録 1638,146-158頁 (共著) 2009/04
論文	第二種積分方程式に対するSinc法とその理論解析数理解析研究所講究録 1638,38-55頁 (共著) 2009/04
論文	自動微分とDE公式を用いた非整数階微分の数値計算日本応用数理学会論文誌 16 (1),51-65頁 (共著) 2006/03/25