OKAYAMA Tomoaki 岡山友昭

Researcher Number	80587866
Other IDs	https://orcid.org/0000-0001-9942-1670
Affiliation (Current)	2026: 広島市立大学, 情報科学研究科, 准教授
Affiliation (based on the past Project Information) *help	2021 – 2024: 広島市立大学, 情報科学研究科, 准教授 2014 – 2020: 広島市立大学, 情報科学研究科, 講師 2012 – 2013: 一橋大学, 大学院経済学研究科, 特任講師 2010 – 2011: 一橋大学, 大学院・経済学研究科, 特任講師
Review Section/Research Field	Principal Investigator Engineering fundamentals / Basic Section 12040:Applied mathematics and statistics-related / Computational science
Keywords	Principal Investigator 数値解析 / 理論解析 / 収束証明 / チューニング / Sinc数値計算法

Further improvement of performance and reliability of the DE-Sinc methodsPrincipal Investigator
- Principal Investigator
  
  岡山友昭
- Project Period (FY)
  2023 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
- Research Institution
  Hiroshima City University
Reformulation and expanding application of the Sinc methodsPrincipal Investigator
- Principal Investigator
  
  Okayama Tomoaki
- Project Period (FY)
  2017 – 2023
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Computational science
- Research Institution
  Hiroshima City University
Development of super high-efficient methods for equations with singularity and their theoretical supportsPrincipal Investigator
- Principal Investigator
  
  Okayama Tomoaki
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Engineering fundamentals
- Research Institution
  Hiroshima City University
  Hitotsubashi University
Research toward the practical use of Sinc numerical methods based on theoretical analysisPrincipal Investigator
- Principal Investigator
  
  OKAYAMA Tomoaki
- Project Period (FY)
  2010 – 2011
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Research Field
  
  Engineering fundamentals
- Research Institution
  Hitotsubashi University

[Book] 変数変換型数値計算法2023
- Author(s)
  田中健一郎、岡山友昭
- Total Pages
  280
- Publisher
  岩波書店
- ISBN
  4000298607
- Data Source
  KAKENHI-PROJECT-17K14147
[Journal Article] Approximation of derivatives over the finite interval via the Sinc approximation combined with the DE transformation and its theoretical error analysis2024
- Author(s)
  Tomoaki Okayama and Tadatoshi Kosaka
- Journal Title
  
  JSIAM Letters
  
  Volume: 16 Issue: 0 Pages: 77-80
- DOI
  10.14495/jsiaml.16.77
- ISSN
  1883-0609, 1883-0617
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-23K03218
[Journal Article] Improvement of selection formulas of mesh size and truncation numbers for the DE-Sinc approximation and its theoretical error bound2024
- Author(s)
  Tomoaki Okayama and Shota Ogawa
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics
  
  Volume: 41 Issue: 2 Pages: 821-836
- DOI
  10.1007/s13160-023-00634-2
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K03218
[Journal Article] Error analyses of Sinc-collocation methods for exponential decay initial value problems2024
- Author(s)
  Tomoaki Okayama, Ryota Hara, Shun'ichi Goto
- Journal Title
  
  NOLTA
  
  Volume: 15 Issue: 3 Pages: 630-650
- DOI
  10.1587/nolta.15.630
- ISSN
  2185-4106
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-23K03218
[Journal Article] Proof of Theoretical Error Analyses of the Sinc Approximation over a Finite Interval2023
- Author(s)
  田中健一郎、岡山友昭
- Journal Title
  
  Bulletin of the Japan Society for Industrial and Applied Mathematics
  
  Volume: 33 Issue: 2 Pages: 94-102
- DOI
  10.11540/bjsiam.33.2_94
- ISSN
  2432-1982
- Year and Date
  2023-06-23
- Language
  Japanese
- Open Access
- Data Source
  KAKENHI-PROJECT-17K14147
[Journal Article] Sinc-collocation methods with consistent collocation points for Fredholm integral equations of the second kind2023
- Author(s)
  Tomoaki Okayama
- Journal Title
  
  Dolomites Research Notes on Approximation
  
  Volume: 16 Pages: 63-74
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K14147
[Journal Article] Optimal selection formulas of mesh size and truncation numbers for the double-exponential formula2023
- Author(s)
  Tomoaki Okayama and Yuta Kawai
- Journal Title
  
  JSIAM Letters
  
  Volume: 15 Issue: 0 Pages: 81-84
- DOI
  10.14495/jsiaml.15.81
- ISSN
  1883-0609, 1883-0617
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K14147
[Journal Article] Sinc Collocation Method for Initial Value Problems for Ordinary Differential Equations2023
- Author(s)
  田中健一郎、岡山友昭
- Journal Title
  
  Bulletin of the Japan Society for Industrial and Applied Mathematics
  
  Volume: 33 Issue: 4 Pages: 213-221
- DOI
  10.11540/bjsiam.33.4_213
- ISSN
  2432-1982
- Year and Date
  2023-12-25
- Language
  Japanese
- Open Access
- Data Source
  KAKENHI-PROJECT-23K03218
[Journal Article] Numerical Indefinite Integration Formulas Derived from the Sinc Approximation2023
- Author(s)
  田中健一郎、岡山友昭
- Journal Title
  
  Bulletin of the Japan Society for Industrial and Applied Mathematics
  
  Volume: 33 Issue: 3 Pages: 152-163
- DOI
  10.11540/bjsiam.33.3_152
- ISSN
  2432-1982
- Year and Date
  2023-09-25
- Language
  Japanese
- Open Access
- Data Source
  KAKENHI-PROJECT-17K14147
[Journal Article] Sinc数値計算法序論2023
- Author(s)
  田中健一郎, 岡山友昭
- Journal Title
  
  応用数理
  
  Volume: 33 Pages: 40-47
- Open Access
- Data Source
  KAKENHI-PROJECT-17K14147
[Journal Article] Error analysis of approximation of derivatives by means of the Sinc approximation for double-exponentially decaying functions2023
- Author(s)
  Tomoaki Okayama, Ken'ichiro Tanaka
- Journal Title
  
  JSIAM Letters
  
  Volume: 15 Issue: 0 Pages: 5-8
- DOI
  10.14495/jsiaml.15.5
- ISSN
  1883-0609, 1883-0617
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K14147, KAKENHI-PROJECT-20H01822
[Journal Article] Theoretical comparison of two conformal maps combined with the trapezoidal formula for the semi-infinite integral of exponentially decaying functions2022
- Author(s)
  Tomoaki Okayama, Katsuya Hirohata
- Journal Title
  
  JSIAM Letters
  
  Volume: 14 Issue: 0 Pages: 77-79
- DOI
  10.14495/jsiaml.14.77
- ISSN
  1883-0609, 1883-0617
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K14147
[Journal Article] Yet another DE-Sinc indefinite integration formula2022
- Author(s)
  Tomoaki Okayama, Ken'ichiro Tanaka
- Journal Title
  
  Dolomites Research Notes on Approximation
  
  Volume: 15 Pages: 105-116
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K14147
[Journal Article] Corrected Error Bound for the Real Gamma Function Using the De Formula2022
- Author(s)
  Tomoaki Okayama
- Journal Title
  
  IEICE Proceeding Series
  
  Volume: 71 Pages: 593-596
- DOI
  10.34385/proc.71.C5L-E-04
- ISSN
  2188-5079
- Year and Date
  2022-12-12
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K14147
[Journal Article] Double-exponential formula for infinite integrals of unilateral rapidly decreasing functions2022
- Author(s)
  Tomoaki Okayama
- Journal Title
  
  JSIAM Letters
  
  Volume: 14 Issue: 0 Pages: 17-20
- DOI
  10.14495/jsiaml.14.17
- NAID
  130008164677
- ISSN
  1883-0609, 1883-0617
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K14147
[Journal Article] Improvement of the conformal map combined with the Sinc approximation for unilateral rapidly decreasing functions2021
- Author(s)
  Tomoaki Okayama, Tomoya Shiraishi
- Journal Title
  
  JSIAM Letters
  
  Volume: 13 Issue: 0 Pages: 37-39
- DOI
  10.14495/jsiaml.13.37
- NAID
  130008065805
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K14147
[Journal Article] New conformal map for the trapezoidal formula for infinite integrals of unilateral rapidly decreasing functions2021
- Author(s)
  Tomoaki Okayama, Tomoki Nomura, Saki Tsuruta
- Journal Title
  
  Journal of Computational and Applied Mathematics
  
  Volume: 389 Pages: 113354-113354
- DOI
  10.1016/j.cam.2020.113354
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14147
[Journal Article] A modified Stenger’s quadrature formula for infinite integrals of unilateral rapidly decreasing functions and its theoretical error bound2021
- Author(s)
  Tomoaki Okayama and Shu Hanada
- Journal Title
  
  Mathematics and Computers in Simulation
  
  Volume: 186 Pages: 3-18
- DOI
  10.1016/j.matcom.2020.03.006
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14147
[Journal Article] New conformal map for the Sinc approximation for exponentially decaying functions over the semi-infinite interval2020
- Author(s)
  Tomoaki Okayama, Yuya Shintaku and Eisuke Katsuura
- Journal Title
  
  Journal of Computational and Applied Mathematics
  
  Volume: 373 Pages: 112358-112358
- DOI
  10.1016/j.cam.2019.112358
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14147
[Journal Article] Sinc-collocation methods for exponential decay initial value problems2020
- Author(s)
  Tomoaki Okayama and Ryota Hara
- Journal Title
  
  Proceedings of the 2020 International Symposium on Nonlinear Theory and its Applications
  
  Volume: － Pages: 509-512
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K14147
[Journal Article] Improvement of selection formulas of mesh size and truncation numbers for the double-exponential formula2020
- Author(s)
  Tomoaki Okayama and Chisei Kurogi
- Journal Title
  
  JSIAM Letters
  
  Volume: 12 Issue: 0 Pages: 13-16
- DOI
  10.14495/jsiaml.12.13
- NAID
  130007815742
- ISSN
  1883-0609, 1883-0617
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K14147
[Journal Article] Modified SE-Sinc approximation with boundary treatment over the semi-infinite interval and its error bound2019
- Author(s)
  Tomoaki Okayama and Ryota Hamada
- Journal Title
  
  JSIAM Letters
  
  Volume: 11 Issue: 0 Pages: 5-7
- DOI
  10.14495/jsiaml.11.5
- NAID
  130007605249
- ISSN
  1883-0609, 1883-0617
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K14147
[Journal Article] Error analyses of Sinc-Nyström methods for initial value problems2019
- Author(s)
  Ryota Hara and Tomoaki Okayama
- Journal Title
  
  NOLTA
  
  Volume: 10 Issue: 4 Pages: 465-484
- DOI
  10.1587/nolta.10.465
- NAID
  130007722626
- ISSN
  2185-4106
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K14147
[Journal Article] Theoretical analysis of a Sinc-Nystroem method for Volterra integro-differential equations and its improvement2018
- Author(s)
  Tomoaki Okayama
- Journal Title
  
  Applied Mathematics and Computation
  
  Volume: 324 Pages: 1-15
- DOI
  10.1016/j.amc.2017.11.062
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14147
[Journal Article] Improvement of Sinc-Nystroem methods for initial value problems2018
- Author(s)
  Ryota Hara and Tomoaki Okayama
- Journal Title
  
  Proceedings of the 2018 International Symposium on Nonlinear Theory and its Applications
  
  Volume: - Pages: 651-654
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K14147
[Journal Article] An optimal approximation formula for functions with singularities2018
- Author(s)
  Ken’ichiro Tanaka, Tomoaki Okayama and Masaaki Sugihara
- Journal Title
  
  Journal of Approximation Theory
  
  Volume: 234 Pages: 82-107
- DOI
  10.1016/j.jat.2018.06.004
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14147, KAKENHI-PROJECT-17K14241
[Journal Article] Theoretical analysis of Sinc-collocation methods and Sinc-Nystroem methods for systems of initial value problems2017
- Author(s)
  Tomoaki Okayama
- Journal Title
  
  BIT Numerical Mathematics
  
  Volume: 58 Issue: 1 Pages: 199-220
- DOI
  10.1007/s10543-017-0663-z
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14147
[Journal Article] A Function Approximation Formula Using the Ganelius Sampling Points2017
- Author(s)
  鵜島崇, 田中健一郎, 岡山友昭, 杉原正顯
- Journal Title
  
  Transactions of the Japan Society for Industrial and Applied Mathematics
  
  Volume: 27 Issue: 1 Pages: 1-20
- DOI
  10.11540/jsiamt.27.1_1
- NAID
  130007043633
- ISSN
  2424-0982
- Language
  Japanese
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24760060
[Journal Article] Error estimate with explicit constants for the trapezoidal formula combined with Muhammad-Mori's SE transformation for the semi-infinite interval2017
- Author(s)
  Tomoaki Okayama and Koichi Machida
- Journal Title
  
  JSIAM Letters
  
  Volume: 印刷中
- NAID
  130005681235
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24760060
[Journal Article] Error estimates with explicit constants for the Sinc approximation over infinite intervals2017
- Author(s)
  Tomoaki Okayama
- Journal Title
  
  Applied Mathematics and Computation
  
  Volume: 印刷中 Pages: 125-137
- DOI
  10.1016/j.amc.2017.02.022
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24760060
[Journal Article] Potential theoretic approach to design of accurate formulas for function approximation in symmetric weighted Hardy spaces2017
- Author(s)
  Ken'ichiro Tanaka, Tomoaki Okayama and Masaaki Sugihara
- Journal Title
  
  IMA Journal of Numerical Analysis
  
  Volume: 37 Pages: 861-904
- DOI
  10.1093/imanum/drw022
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24760060
[Journal Article] Explicit error bound for Muhammad-Mori's SE-Sinc indefinite integration formula over the semi-infinite interval2017
- Author(s)
  Ryota Hara and Tomoaki Okayama
- Journal Title
  
  Proceedings of the 2017 International Symposium on Nonlinear Theory and its Applications
  
  Volume: － Pages: 677-680
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K14147
[Journal Article] Potential theoretic approach to design of accurate numerical integration formulas in weighted Hardy spaces2017
- Author(s)
  Ken'ichiro Tanaka, Tomoaki Okayama and Masaaki Sugihara
- Journal Title
  
  Approximation Theory XV: San Antonio 2016
  
  Volume: -
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24760060
[Journal Article] Explicit error bound for modified numerical iterated integration by means of Sinc methods2016
- Author(s)
  Tomoaki Okayama
- Journal Title
  
  Lecture Notes in Computer Science
  
  Volume: 9582 Pages: 202-217
- DOI
  10.1007/978-3-319-32859-1_17
- ISBN
  9783319328584, 9783319328591
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24760060
[Journal Article] Verified Error Bounds for the Real Gamma Function using Double Exponential Formula over Semi-Infinite Interval2016
- Author(s)
  Naoya Yamanaka, Tomoaki Okayama, Shin'ichi Oishi
- Journal Title
  
  Mathematical Aspects of Computer and Information Sciences
  
  Volume: 9582 Pages: 224-228
- DOI
  10.1007/978-3-319-32859-1_19
- ISBN
  9783319328584, 9783319328591
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24700015, KAKENHI-PROJECT-24760060
[Journal Article] Improvement of a Sinc-collocation method for Fredholm integro-differential equations2015
- Author(s)
  Tomoaki Okayama
- Journal Title
  
  AIP Conference Proceedings
  
  Volume: 1648 Pages: 390008-390008
- DOI
  10.1063/1.4912618
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24760060
[Journal Article] Theoretical analysis of Sinc-Nystroem methods for Volterra integral equations2015
- Author(s)
  Tomoaki Okayama, Takayasu Matsuo and Masaaki Sugihara
- Journal Title
  
  Mathematics of Computation
  
  Volume: 84 Issue: 293 Pages: 1189-1215
- DOI
  10.1090/s0025-5718-2014-02929-3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24760060
[Journal Article] Explicit error bound for the tanh rule and the DE formula for integrals with logarithmic singularity2014
- Author(s)
  Tomoaki Okayama
- Journal Title
  
  JSIAM Letters
  
  Volume: 6 Issue: 0 Pages: 9-11
- DOI
  10.14495/jsiaml.6.9
- NAID
  130003394982
- ISSN
  1883-0609, 1883-0617
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24760060
[Journal Article] 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2014
- Author(s)
  岡山友昭
- Journal Title
  
  応用数理
  
  Volume: 24 Pages: 14-18
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24760060
[Journal Article] High-precision eigenvalue bound for the Laplacian with singularities2014
- Author(s)
  Xuefeng Liu, Tomoaki Okayama and Shin'ichi Oishi
- Journal Title
  
  Computer Mathematics
  
  Volume: Part III Pages: 311-323
- DOI
  10.1007/978-3-662-43799-5_23
- ISBN
  9783662437988, 9783662437995
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24760060
[Journal Article] Error estimates with explicit constants for Sinc quadrature and Sinc indefinite integration over infinite intervals2013
- Author(s)
  Tomoaki Okayama
- Journal Title
  
  Reliable Computing
  
  Volume: 19
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24760060
[Journal Article] A note on the Sinc approximation with boundary treatment2013
- Author(s)
  Tomoaki Okayama
- Journal Title
  
  JSIAM Letters
  
  Volume: 5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24760060
[Journal Article] Error estimates with explicit constants for Sinc approximation, Sinc quadrature and Sinc indefinite integration2013
- Author(s)
  Tomoaki Okayama
- Journal Title
  
  Numerische Mathematik
  
  Volume: in press Issue: 2 Pages: 361-394
- DOI
  10.1007/s00211-013-0515-y
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24760060
[Journal Article] 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 approximation2013
- Author(s)
  Tomoaki Okayama
- Journal Title
  
  Numerische Mathematik
  
  Volume: in press Issue: 3 Pages: 511-543
- DOI
  10.1007/s00211-013-0540-x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24760060, KAKENHI-PROJECT-24760064
[Journal Article] 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2012
- Author(s)
  岡山友昭
- Journal Title
  
  日本応用数理学会論文誌
  
  Volume: 22
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24760060
[Journal Article] Theoretical Analysis of Sinc-Nystrom Methods for Volterra Integral Equations2011
- Author(s)
  T.Okayama, T.Matsuo, M.Sugihara
- Journal Title
  
  Mathematical Engineering Technical Reports, University of Tokyo
  
  Volume: 2011-42 Pages: 26-26
- Data Source
  KAKENHI-PROJECT-22860026
[Journal Article] On boundedness of the condition number of the coefficient matrices appearing in Sinc-Nystrom methods for Fredholm integral equations of the second kind2011
- Author(s)
  T. Okayama, T. Matsuo and M. Sugihara
- Journal Title
  
  JSIAM Letters
  
  Volume: Vol.3 Pages: 81-84
- URL
  https://www.jstage.jst.go.jp/article/jsiaml/3/0/3_0_81/_pdf
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22860026
[Journal Article] The Double-Exponential Transformation Is Not Always Better Than the Tanh Transformation-Theoretical Convergence Analysis2011
- Author(s)
  T.Okayama, K.Tanaka, T.Matsuo, M.Sugihara
- Journal Title
  
  Mathematical Engineering Technical Reports, University of Tokyo
  
  Volume: 2011-43 Pages: 37-37
- Data Source
  KAKENHI-PROJECT-22860026
[Journal Article] Improvement of a Sinc-collocation method for Fredholm integral equations of the second kind2011
- Author(s)
  T. Okayama, T. Matsuo and M. Sugihara
- Journal Title
  
  BIT Numerical Mathematics
  
  Volume: Vol.51 Issue: 2 Pages: 339-366
- DOI
  10.1007/s10543-010-0289-x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22860026
[Journal Article] Theoretical analysis of Sinc-Nystrom methods for Volterra integral equations2011
- Author(s)
  T. Okayama, T. Matsuo and M. Sugihara
- Journal Title
  
  Mathematical Engineering Technical Reports 2011-42
  
  Pages: 26-26
- URL
  http://www.keisu.t.u-tokyo.ac.jp/research/techrep/data/2011/METR11-42.pdf
- Data Source
  KAKENHI-PROJECT-22860026
[Journal Article] Improvement of a Sinc-collocation method for Fredholm integral equations of the second kind2011
- Author(s)
  T.OKAYAMA, T.MATSUO, M.SUGIHARA
- Journal Title
  
  BIT Numerical Mathematics
  
  Volume: in press
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22860026
[Journal Article] The double-exponential transformation is not always better than the tanh transformation. theoretical convergence analysis2011
- Author(s)
  T. Okayama, T. Matsuo and M. Sugihara
- Journal Title
  
  Mathematical Engineering Technical Reports 2011-43, The University of Tokyo
  
  Pages: 37-37
- URL
  http://www.keisu.t.u-tokyo.ac.jp/research/techrep/data/2011/METR11-43.pdf
- Data Source
  KAKENHI-PROJECT-22860026
[Journal Article] On boundedness of the condition number of the coefficient matrices appearing in Sinc-Nystrom methods for Fredholm integral equations of the second kind2011
- Author(s)
  T.Okayama, T.Matsuo, M.Sugihara
- Journal Title
  
  JSIAM Letters
  
  Volume: 3 Pages: 81-84
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22860026
[Journal Article] A fast verified automatic integration algorithm using double exponentialformula2010
- Author(s)
  N.YAMANAKA, T.OKAYAMA, S.OISHI , T.OGITA
- Journal Title
  
  Nonlinear Theory and Its Applications, IEICE
  
  Volume: Vol.1 Pages: 119-132
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22860026
[Journal Article] 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2010
- Author(s)
  岡山友昭, 松尾宇泰, 杉原正顯
- Journal Title
  
  日本応用数理学会論文誌
  
  Volume: Vol.20 Pages: 71-113
- URL
  http://ci.nii.ac.jp/naid/110007658199/ja/
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22860026
[Journal Article] A fast verified automatic integration algorithm using double exponential formula2010
- Author(s)
  N. Yamanaka, T. Okayama, S. Oishi and T. Ogita
- Journal Title
  
  Nonlinear Theory and Its Applications
  
  Volume: Vol.1 Pages: 119-132
- NAID
  130000908377
- URL
  https://www.jstage.jst.go.jp/article/nolta/1/1/1_1_119/_pdf
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22860026
[Presentation] 片側急減衰関数に対するSinc関数近似に基づく導関数の近似法における変数変換の改善とその理論誤差評価2025
- Author(s)
  近藤碧、岡山友昭
- Organizer
  日本応用数理学会2025年研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-23K03218
[Presentation] 片側急減衰関数の全無限積分に対する複合台形則と組み合わせるシンプルな変数変換の提案2025
- Author(s)
  門田陸、岡山友昭
- Organizer
  日本応用数理学会2025年研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-23K03218
[Presentation] 半無限区間の指数的減衰関数に対するSinc関数近似に基づく導関数の近似法における変数変換の改善とその理論誤差評価2025
- Author(s)
  桑下侑士、岡山友昭
- Organizer
  日本応用数理学会2025年研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-23K03218
[Presentation] 対数的特異性をもつ指数的減衰関数の半無限積分に対するSE公式・DE公式の理論誤差評価2024
- Author(s)
  籔本英大、岡山友昭
- Organizer
  日本応用数理学会2024年研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-23K03218
[Presentation] 対数的特異性をもつ多項式的減衰関数の半無限積分に対するSE公式・DE公式の理論誤差評価2024
- Author(s)
  神垣諒、岡山友昭
- Organizer
  日本応用数理学会2024年研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-23K03218
[Presentation] Theoretical analysis of Sinc-collocation methods for Volterra-Fredholm integral equations2024
- Author(s)
  Tomoaki Okayama
- Organizer
  Numerical Analysis & Modelling in Applied Sciences 2024
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03218
[Presentation] 対数的特異性をもつ有限区間積分に対するSE公式・DE公式の理論誤差評価の改善2024
- Author(s)
  荒川巧晟、岡山友昭
- Organizer
  日本応用数理学会2024年研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-23K03218
[Presentation] Error analyses of Sinc-collocation methods for exponential decay initial value problems2023
- Author(s)
  Tomoaki OKAYAMA, Ryota HARA and Shun'ichi GOTO
- Organizer
  Second International Conference on Mathematical And Computational Modelling, Approximation and Simulation (MACMAS 2023)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] Approximate formula for indefinite convolutions by the DE-Sinc method2023
- Author(s)
  Tomoaki Okayama
- Organizer
  10th International Congress on Industrial and Applied Mathematics (ICIAM 2023)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03218
[Presentation] 二重指数関数型減衰関数に対するSinc関数近似に基づく微分近似の誤差評価2022
- Author(s)
  岡山友昭, 田中健一郎
- Organizer
  日本応用数理学会2022年度年会
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] Sinc-collocation methods with consistent collocation points for Fredholm integral equations of the second kind2022
- Author(s)
  Tomoaki Okayama
- Organizer
  International Conference on Functional Analysis, Approximation Theory and Numerical Analysis (FAATNA20>22)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] DE変換と組み合わせたSinc関数近似に基づく有限区間における導関数の近似法とその理論誤差評価2022
- Author(s)
  幸阪忠俊, 岡山友昭
- Organizer
  日本応用数理学会2023年研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] DE公式に対する刻み幅と打ち切り数の決定式の改善と理論誤差評価2022
- Author(s)
  川井祐太, 岡山友昭
- Organizer
  日本応用数理学会2022年研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] Corrected error bound for the real gamma function using the DE formula2022
- Author(s)
  Tomoaki Okayama
- Organizer
  The 2022 International Symposium on Nonlinear Theory and Its Applications
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] DE変換と組み合わせたSinc関数近似に基づく半無限区間における導関数の近似法とその理論誤差評価2022
- Author(s)
  土山紗矢, 岡山友昭
- Organizer
  日本応用数理学会2023年研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] Improvement of selection formulas of mesh size and truncation number for the DE-Sinc approximation and its theoretical error bound2021
- Author(s)
  Tomoaki Okayama and Shota Ogawa
- Organizer
  The 19th International Symposium on Scientific Computing, Computer Arithmetic, and Verified Numerical Computations
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] 指数的減衰関数の半無限積分に対し複合台形則と組み合わせる二つの変数変換の優劣の理論解析2021
- Author(s)
  廣畑克哉, 岡山友昭
- Organizer
  日本応用数理学会2021年研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] DE-Sinc関数近似の刻み幅と打ち切り数の決定式の改善と理論誤差評価2021
- Author(s)
  小川翔大, 岡山友昭
- Organizer
  日本応用数理学会2021年研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] Yet another Sinc indefinite integration formula2021
- Author(s)
  Tomoaki Okayama
- Organizer
  5th Dolomites Workshop on Constructive Approximation and Applications
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] 片側急減衰関数の全無限積分に対する二重指数関数型数値積分公式2020
- Author(s)
  岡山友昭
- Organizer
  日本応用数理学会2020年度年会
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] 片側急減衰関数に対するSE-Sinc関数近似の改善と理論誤差評価2020
- Author(s)
  白石朋也, 岡山友昭
- Organizer
  日本応用数理学会2020年研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] Sinc-collocation methods for exponential decay initial value problems2020
- Author(s)
  Tomoaki Okayama and Ryota Hara
- Organizer
  The 2020 International Symposium on Nonlinear Theory and its Applications
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] 片側急減衰関数の全無限積分に対する鶴田らのSE公式の理論誤差評価の改善2020
- Author(s)
  野村友暉, 岡山友昭
- Organizer
  日本応用数理学会2020年研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] 変数変換型数値計算法の発展について2019
- Author(s)
  岡山友昭
- Organizer
  数値解析談話会2019
- Invited
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] 二重指数関数型数値積分公式の理論誤差評価の改善2019
- Author(s)
  岡山友昭, 黒木治世
- Organizer
  日本応用数理学会2019年度年会
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] A modified Stenger's quadrature formula for infinite integrals of unilateral rapidly decreasing functions and its theoretical error bound2019
- Author(s)
  Tomoaki Okayama and Shu Hanada
- Organizer
  Mathematical and Computational Modelling, Approximation and Simulation 2019
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] New conformal map for the Sinc approximation for exponentially-decaying functions over the semi-infinite interval2018
- Author(s)
  Tomoaki Okayama, Yuya Shintaku and Eisuke Katsuura
- Organizer
  Numerical Analysis and Scientific Computation with Applications 2018
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] Verified algorithm for the sine integral2018
- Author(s)
  Naoya Yamanaka, Tomoaki Okayama and Shin'ichi Oishi
- Organizer
  The 18th International Symposium on Scientific Computing, Computer Arithmetic, and Verified Numerical Computations
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] 微分方程式の初期値問題に対するSinc-Nystroem法の誤差解析2018
- Author(s)
  原涼太, 岡山友昭
- Organizer
  第47回数値解析シンポジウム
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] 微分方程式の初期値問題に対するDE-Sinc-Nystroem法の改善2018
- Author(s)
  原涼太, 岡山友昭
- Organizer
  日本応用数理学会2018年研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] Improvement of Sinc-Nystroem methods for initial value problems2018
- Author(s)
  Ryota Hara and Tomoaki Okayama
- Organizer
  The 2018 International Symposium on Nonlinear Theory and its Applications
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] A note on computing the pth root of Sinc matrices2018
- Author(s)
  Fuminori Tatsuoka, Tomoaki Okayama, Shao-Liang Zhang and Masaaki Sugihara
- Organizer
  16th International Conference of Numerical Analysis and Applied Mathematics
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] 片側急減衰関数の無限積分に対するSE公式の改善と理論誤差評価2018
- Author(s)
  鶴田早紀, 花田脩, 岡山友昭
- Organizer
  日本応用数理学会2018年研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] 微分方程式の初期値問題に対するSE-Sinc-Nystroem法の改善2017
- Author(s)
  原涼太, 岡山友昭
- Organizer
  日本応用数理学会2017年度年会
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] Verified error bounds for the gamma function using double exponential formula2017
- Author(s)
  Naoya Yamanaka, Tomoaki Okayama and Shin'ichi Oishi
- Organizer
  International Workshop on Industrial Mathematics / ICIAM Board Meeting 2017
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] Verified algorithm for the gamma function using double exponential formula and its applications2017
- Author(s)
  Naoya Yamanaka, Tomoaki Okayama and Shin'ichi Oishi
- Organizer
  The 36th JSST Annual International Conference on Simulation Technology
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] Muhammad-MoriのSE-Sinc不定積分公式に対する定数を明示的に表した誤差評価2017
- Author(s)
  原涼太, 岡山友昭
- Organizer
  日本応用数理学会2017年研究部会連合発表会
- Place of Presentation
  電気通信大学（東京都調布市）
- Year and Date
  2017-03-07
- Data Source
  KAKENHI-PROJECT-24760060
[Presentation] Sinc関数近似に用いる半無限区間用SE変換の改善と理論誤差評価2017
- Author(s)
  新宅勇也, 桂浦英佑, 岡山友昭
- Organizer
  日本応用数理学会2017年研究部会連合発表会
- Place of Presentation
  電気通信大学（東京都調布市）
- Year and Date
  2017-03-07
- Data Source
  KAKENHI-PROJECT-24760060
[Presentation] Recent development of variable transformations combined with the trapezoidal formula2017
- Author(s)
  Tomoaki Okayama
- Organizer
  International Workshop on Numerical Verification and its Applications 2017
- Place of Presentation
  Hotel Breeze Bay Marina (Miyakojima, Okinawa)
- Year and Date
  2017-03-18
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24760060
[Presentation] Verified error bounds for the modified Bessel function of the second kind using double exponential formula over semi-infinite interval2017
- Author(s)
  Naoya Yamanaka, Tomoaki Okayama and Shin'ichi Oishi
- Organizer
  International Workshop on Numerical Verification and its Applications 2017
- Place of Presentation
  Hotel Breeze Bay Marina (Miyakojima, Okinawa)
- Year and Date
  2017-03-18
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24760060
[Presentation] Explicit error bound for Muhammad-Mori's SE-Sinc indefinite integration formula over the semi-infinite interval2017
- Author(s)
  Ryota Hara and Tomoaki Okayama
- Organizer
  The 2017 International Symposium on Nonlinear Theory and its Applications
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] 半無限区間における境界を考慮したSE-Sinc関数近似の改善と誤差評価2017
- Author(s)
  岡山友昭, 濵田亮太
- Organizer
  日本応用数理学会2017年度年会
- Data Source
  KAKENHI-PROJECT-17K14147
[Presentation] eye-shaped領域上の重み付きハーディ空間における2つの最適な関数近似公式の比較2016
- Author(s)
  杉田幸亮, 杉原正顯, 田中健一郎, 岡山友昭
- Organizer
  日本応用数理学会2016年度年会
- Place of Presentation
  北九州国際会議場（福岡県北九州市）
- Year and Date
  2016-09-12
- Data Source
  KAKENHI-PROJECT-24760060
[Presentation] Verified algorithm for the modified Bessel function of the second kind2016
- Author(s)
  Naoya Yamanaka, Tomoaki Okayama, Shin'ichi Oishi and Yukari Maki
- Organizer
  5th European Seminar on Computing
- Place of Presentation
  Pilsner Urquell Brewery (Czech Republic)
- Year and Date
  2016-06-09
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24760060
[Presentation] DE公式を用いた変形Bessel関数の精度保証付き数値計算2016
- Author(s)
  山中脩也, 岡山友昭, 大石進一, 槙友佳里
- Organizer
  日本応用数理学会2016年研究部会連合発表会
- Place of Presentation
  神戸学院大学ポートアイランドキャンパス
- Year and Date
  2016-03-05
- Data Source
  KAKENHI-PROJECT-24760060
[Presentation] Error estimates with explicit constants for the Sinc approximation over infinite intervals2016
- Author(s)
  Tomoaki Okayama
- Organizer
  5th European Seminar on Computing
- Place of Presentation
  Pilsner Urquell Brewery (Czech Republic)
- Year and Date
  2016-06-09
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24760060
[Presentation] Potential theoretic approach to approximation in weighted Hardy spaces2016
- Author(s)
  Ken'ichiro Tanaka, Tomoaki Okayama and Masaaki Sugihara
- Organizer
  The 11th East Asia SIAM Conference
- Place of Presentation
  University of Macau (China)
- Year and Date
  2016-06-21
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24760060
[Presentation] 重み付きハーディ空間における高精度数値積分公式の設計2016
- Author(s)
  田中健一郎, 岡山友昭, 杉原正顯
- Organizer
  日本応用数理学会2016年度年会
- Place of Presentation
  北九州国際会議場（福岡県北九州市）
- Year and Date
  2016-09-12
- Data Source
  KAKENHI-PROJECT-24760060
[Presentation] Potential theoretic approach to design an optimal formula for function approximation in a weighted Hardy space2015
- Author(s)
  Ken'ichiro Tanaka, Tomoaki Okayama, Masaaki Sugihara
- Organizer
  New Directions in Numerical Computation
- Place of Presentation
  Oxford University
- Year and Date
  2015-08-25
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24760060
[Presentation] 無限区間二次元積分に対する極座標変換とDE変換を用いた複合台形則の適用への注意2015
- Author(s)
  岡山友昭, 小城雄輝
- Organizer
  日本応用数理学会2015年度年会
- Place of Presentation
  金沢大学角間キャンパス
- Year and Date
  2015-09-11
- Data Source
  KAKENHI-PROJECT-24760060
[Presentation] Verified error bounds for the real gamma function using double exponential formula over semi-infinite interval2015
- Author(s)
  Naoya Yamanaka, Tomoaki Okayama, and Shin'ichi Oishi
- Organizer
  6th International Conference on Mathematical Aspects of Computer and Information Sciences
- Place of Presentation
  Zuse Institute Berlin
- Year and Date
  2015-11-12
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24760060
[Presentation] ポテンシャル論による重み付きハーディ空間上の最適関数近似公式の設計2015
- Author(s)
  田中健一郎, 岡山友昭, 杉原正顯
- Organizer
  第44回数値解析シンポジウム
- Place of Presentation
  山梨県甲州市
- Year and Date
  2015-06-08
- Data Source
  KAKENHI-PROJECT-24760060
[Presentation] Explicit error bound for modified numerical iterated integration by means of Sinc methods2015
- Author(s)
  Tomoaki Okayama
- Organizer
  6th International Conference on Mathematical Aspects of Computer and Information Sciences
- Place of Presentation
  Zuse Institute Berlin
- Year and Date
  2015-11-12
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24760060
[Presentation] Muhammad-MoriのSE公式に対する定数を明示的に表した誤差評価2015
- Author(s)
  岡山友昭, 町田洸一
- Organizer
  日本応用数理学会2015年研究部会連合発表会
- Place of Presentation
  明治大学中野キャンパス
- Year and Date
  2015-03-07
- Data Source
  KAKENHI-PROJECT-24760060
[Presentation] Improvement of a Sinc-collocation method for Fredholm integro-differential equations2014
- Author(s)
  Tomoaki Okayama
- Organizer
  12th International Conference of Numerical Analysis and Applied Mathematics
- Place of Presentation
  Rodos Palace Hotel
- Year and Date
  2014-09-24
- Data Source
  KAKENHI-PROJECT-24760060
[Presentation] Volterra微積分方程式に対するSinc選点法と理論解析2012
- Author(s)
  岡山友昭
- Organizer
  日本応用数理学会2012年研究部会連合発表会
- Place of Presentation
  九州大学伊都キャンパス
- Year and Date
  2012-03-09
- Data Source
  KAKENHI-PROJECT-22860026
[Presentation] Fredholm微積分方程式に対するSinc選点法の改良と理論解析2011
- Author(s)
  岡山友昭
- Organizer
  第40回数値解析シンポジウム
- Place of Presentation
  鳥羽シーサイドホテル,三重
- Year and Date
  2011-06-20
- Data Source
  KAKENHI-PROJECT-22860026
[Presentation] 変数変換型数値積分公式およびその発展2011
- Author(s)
  岡山友昭
- Organizer
  第4回「数理科学セミナー」
- Place of Presentation
  一橋大学国立キャンパス(招待講演)
- Year and Date
  2011-11-16
- Data Source
  KAKENHI-PROJECT-22860026
[Presentation] 一般化されたGanelius定理に基づく最適関数近似公式2011
- Author(s)
  鵜島崇,岡山友昭,杉原正顯
- Organizer
  RIMS研究集会「科学技術計算における理論と応用の新展開」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2011-10-26
- Data Source
  KAKENHI-PROJECT-22860026
[Presentation] 第二種積分方程式に対するSinc-Nystrom法のチューニングパラメータについて2011
- Author(s)
  岡山友昭
- Organizer
  Kunitachi One-Day Symposium on Numerical Analysis and Related Topics
- Place of Presentation
  一橋大学国立キャンパス
- Year and Date
  2011-01-29
- Data Source
  KAKENHI-PROJECT-22860026
[Presentation] 第二種積分方程式に対するSinc-Nystrom法の係数行列の条件数の有界性について2011
- Author(s)
  岡山友昭
- Organizer
  日本応用数理学会2011年研究部会連合発表会
- Place of Presentation
  電気通信大学
- Year and Date
  2011-03-08
- Data Source
  KAKENHI-PROJECT-22860026
[Presentation] Volterra微積分方程式に対するSinc-Nystrom法の改良と理論解析2011
- Author(s)
  岡山友昭
- Organizer
  応用数学合同研究集会
- Place of Presentation
  龍谷大学瀬田キャンパス
- Year and Date
  2011-12-17
- Data Source
  KAKENHI-PROJECT-22860026
[Presentation] 第二種積分方程式に対するSinc-Nystriim法のチューニングパラメータについて2011
- Author(s)
  岡山友昭
- Organizer
  Kunitachi One-Day Symposium on Numerical Analysis and Related Topics)
- Place of Presentation
  一橋大学国立キャンパス(招待講演
- Year and Date
  2011-01-29
- Data Source
  KAKENHI-PROJECT-22860026
[Presentation] 一般化されたGanelius定理に基づく最適関数近似公式2011
- Author(s)
  鵜島崇, 岡山友昭, 杉原正顯
- Organizer
  RIMS研究集会「科学技術計算における理論と応用の新展開」
- Place of Presentation
  京都大学数理解析研究所(招待講演)
- Year and Date
  2011-10-26
- Data Source
  KAKENHI-PROJECT-22860026
[Presentation] Fredholm微積分方程式に対するSinc選点法の改良と理論解析2011
- Author(s)
  岡山友昭
- Organizer
  第40回数値解析シンポジウム
- Place of Presentation
  鳥羽シーサイドホテル、三重
- Year and Date
  2011-06-20
- Data Source
  KAKENHI-PROJECT-22860026
[Presentation] Theoretical analysis of Sinc-collocation methods for weakly singular Volterra integral equations of the second kind2011
- Author(s)
  T. Okayama
- Organizer
  24th Biennial Conference on Numerical Analysis
- Place of Presentation
  University of Strathclyde, UK
- Year and Date
  2011-06-29
- Data Source
  KAKENHI-PROJECT-22860026
[Presentation] 変数変換型数値積分公式およびその発展2011
- Author(s)
  岡山友昭
- Organizer
  第4回「数理科学セミナー」
- Place of Presentation
  一橋大学国立キャンパス
- Year and Date
  2011-11-16
- Data Source
  KAKENHI-PROJECT-22860026
[Presentation] 第二種積分方程式に対するSinc-NystrSm法の係数行列の条件数の有界性について2011
- Author(s)
  岡山友昭
- Organizer
  日本応用数理学会2011年研究部会連合発表会
- Place of Presentation
  電気通信大学
- Year and Date
  2011-03-08
- Data Source
  KAKENHI-PROJECT-22860026
[Presentation] 無限区間の定積分に対するSE公式・DE公式の定数を明示的に表した誤差評価2010
- Author(s)
  岡山友昭
- Organizer
  日本応用数理学会2010年度年会
- Place of Presentation
  明治大学駿河台キャンパス
- Year and Date
  2010-09-06
- Data Source
  KAKENHI-PROJECT-22860026
[Presentation] 第二種積分方程式に対するSincスキームの理論解析2010
- Author(s)
  岡山友昭
- Organizer
  東京大学数値解析セミナー
- Place of Presentation
  東京大学駒場キャンパス(招待講演)
- Year and Date
  2010-10-26
- Data Source
  KAKENHI-PROJECT-22860026
[Presentation] 第二種積分方程式に対するSincスキームの理論解析2010
- Author(s)
  岡山友昭
- Organizer
  東京大学数値解析セミナー
- Place of Presentation
  東京大学駒場キャンパス
- Year and Date
  2010-10-26
- Data Source
  KAKENHI-PROJECT-22860026
[Presentation] A posteriori error estimates of Sinc-Nystrom methods for Fredholm integral equations of the second kind2010
- Author(s)
  T. Okayama
- Organizer
  The 14th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics(SCAN 2010)
- Place of Presentation
  ENS Lyon, France
- Year and Date
  2010-09-27
- Data Source
  KAKENHI-PROJECT-22860026
[Presentation] Theoretical analysis of Sinc-Nystrom methods for Volterra integral equations of the second kind2010
- Author(s)
  T.OKAYAMA
- Organizer
  The 4th International Conference ComputationalMethods in Applied Mathematics (CMAM-4)
- Place of Presentation
  Stefan Banach Center, Poland
- Year and Date
  2010-06-22
- Data Source
  KAKENHI-PROJECT-22860026
[Presentation] A posteriori error estimates of Sinc-Nystrom methods for Fredholm integral equations of the second kind2010
- Author(s)
  T.OKAYAMA
- Organizer
  The 14th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmeticand Validated Numerics (SCAN 2010)
- Place of Presentation
  ENS Lyon, France
- Year and Date
  2010-09-27
- Data Source
  KAKENHI-PROJECT-22860026
[Presentation] 無限区間の定積分に対するSE公式・DE公式の定数を明示的に表した誤差評価2010
- Author(s)
  岡山友昭
- Organizer
  日本応用数理学会2010年度年会
- Place of Presentation
  明治大学甚駿河台キャンパス
- Year and Date
  2010-09-06
- Data Source
  KAKENHI-PROJECT-22860026
[Presentation] tanh則が有効な関数族に対するDE式の誤差評価2010
- Author(s)
  岡山友昭
- Organizer
  第39回数値解析シンポジウム
- Place of Presentation
  鳥羽シーサイドホテル,三重
- Year and Date
  2010-05-26
- Data Source
  KAKENHI-PROJECT-22860026
[Presentation] tanh則が有効な関数族に対するDE公式の誤差評価2010
- Author(s)
  岡山友昭
- Organizer
  第39回数値解析シンポジウム
- Place of Presentation
  鳥羽シーサイドホテル, 三重
- Year and Date
  2010-05-26
- Data Source
  KAKENHI-PROJECT-22860026
[Presentation] Theoretical analysis of Sinc-Nystrom methods for Volterra integral equations of the second kind2010
- Author(s)
  T. Okayama
- Organizer
  The 4th International Conference Computational Methods in Applied Mathematics(CMAM-4)
- Place of Presentation
  Stefan Banach Center, Poland
- Year and Date
  2010-06-22
- Data Source
  KAKENHI-PROJECT-22860026
[Presentation] 常微分方程式の初期値問題に対する様々なSincスキームの比較2010
- Author(s)
  岡山友昭
- Organizer
  応用数学合同研究集会
- Place of Presentation
  龍谷大学瀬田キャンパス
- Year and Date
  2010-12-16
- Data Source
  KAKENHI-PROJECT-22860026
[Presentation] 対数的特異性をもつ積分に対するtanh則・DE公式の定数を明示的に表した誤差評価
- Author(s)
  岡山友昭
- Organizer
  日本応用数理学会2013年研究部会連合発表会
- Place of Presentation
  東洋大学白山キャンパス（東京都文京区）
- Data Source
  KAKENHI-PROJECT-24760060
[Presentation] 第二種Fredholm積分方程式に対するSinc選点法の事後誤差評価
- Author(s)
  岡山友昭
- Organizer
  応用数学合同研究集会
- Place of Presentation
  龍谷大学瀬田キャンパス（滋賀県大津市）
- Data Source
  KAKENHI-PROJECT-24760060
[Presentation] Error estimates with explicit constants for Sinc quadrature and Sinc indefinite integration over infinite intervals
- Author(s)
  Tomoaki Okayama
- Organizer
  The 15th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics
- Place of Presentation
  Akademgorodok, Novosibirsk, Russia
- Data Source
  KAKENHI-PROJECT-24760060
[Presentation] 二重指数関数型数値積分公式の誤差の見積もりについて
- Author(s)
  岡山友昭
- Organizer
  日本応用数理学会三部会連携「応用数理セミナー」
- Place of Presentation
  東京大学本郷キャンパス（東京都文京区）
- Invited
- Data Source
  KAKENHI-PROJECT-24760060
[Presentation] Sinc-collocation method for initial value problems by means of the DE transformation
- Author(s)
  Tomoaki Okayama
- Organizer
  The 16th International Congress on Computational and Applied Mathematics
- Place of Presentation
  Ghent University (Ghent, East Flanders, Belgium)
- Data Source
  KAKENHI-PROJECT-24760060
[Presentation] Fredholm微積分方程式に対するSinc-Nystroem法とその理論解析
- Author(s)
  岡山友昭
- Organizer
  第42回数値解析シンポジウム
- Place of Presentation
  四国道後舘（愛媛県松山市）
- Data Source
  KAKENHI-PROJECT-24760060
[Presentation] Theoretical analysis of a Sinc-Nystroem method for Volterra integro-differential equations and its improvement
- Author(s)
  Tomoaki Okayama
- Organizer
  18th International Conference Mathematical Modelling and Analysis (MMA2013) and Fourth International Conference Approximation Methods and Orthogonal Expansions (AMOE2013)
- Place of Presentation
  Dorpat Conference Centre (Tartu, Tartu County, Estonia)
- Data Source
  KAKENHI-PROJECT-24760060
[Presentation] Sinc-collocation methods for Volterra integro-differential equations
- Author(s)
  Tomoaki Okayama
- Organizer
  International Conference on Scientific Computation and Differential Equations 2013 (SciCADE 2013)
- Place of Presentation
  University of Valladolid (Valladolid, Castile and Leon, Spain)
- Data Source
  KAKENHI-PROJECT-24760060
[Presentation] Sinc積分とSinc不定積分による累次積分近似に対する定数を明示的に表した誤差評価
- Author(s)
  岡山友昭
- Organizer
  応用数学合同研究集会
- Place of Presentation
  龍谷大学瀬田キャンパス（滋賀県大津市）
- Data Source
  KAKENHI-PROJECT-24760060
[Presentation] SE-Sinc法が有効な関数族に対するDE-Sinc法の収束性について
- Author(s)
  岡山友昭
- Organizer
  日本応用数理学会2012年度年会
- Place of Presentation
  アクロス福岡（福岡県福岡市）
- Invited
- Data Source
  KAKENHI-PROJECT-24760060
[Presentation] 無限区間のSinc関数近似に対する定数を明示的に表した誤差評価
- Author(s)
  岡山友昭
- Organizer
  日本応用数理学会2012年度年会
- Place of Presentation
  北海道稚内市
- Data Source
  KAKENHI-PROJECT-24760060
[Presentation] 非整数階微分方程式の初期値問題に対するSinc選点法
- Author(s)
  岡山友昭
- Organizer
  第41回数値解析シンポジウム
- Place of Presentation
  群馬県渋川市
- Data Source
  KAKENHI-PROJECT-24760060

1. 山中脩也

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

OKAYAMA Tomoaki 岡山 友昭

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Further improvement of performance and reliability of the DE-Sinc methodsPrincipal Investigator

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Reformulation and expanding application of the Sinc methodsPrincipal Investigator

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Development of super high-efficient methods for equations with singularity and their theoretical supportsPrincipal Investigator

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Research toward the practical use of Sinc numerical methods based on theoretical analysisPrincipal Investigator

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[Book] 変数変換型数値計算法2023

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[Journal Article] Approximation of derivatives over the finite interval via the Sinc approximation combined with the DE transformation and its theoretical error analysis2024

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[Journal Article] Improvement of selection formulas of mesh size and truncation numbers for the DE-Sinc approximation and its theoretical error bound2024

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[Journal Article] Error analyses of Sinc-collocation methods for exponential decay initial value problems2024

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[Journal Article] Proof of Theoretical Error Analyses of the Sinc Approximation over a Finite Interval2023

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[Journal Article] Sinc-collocation methods with consistent collocation points for Fredholm integral equations of the second kind2023

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[Journal Article] Optimal selection formulas of mesh size and truncation numbers for the double-exponential formula2023

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[Journal Article] Sinc Collocation Method for Initial Value Problems for Ordinary Differential Equations2023

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OKAYAMA Tomoaki 岡山友昭