Fujiwara Hiroshi

フジワラヒロシ | Fujiwara Hiroshi

Affiliation and department：

Research field (2)： Applied mathematics and statistics , Basic mathematics

Research keywords (2)：輻射輸送方程式の数値解析と数値計算 , 多倍長数値計算による逆問題の解の再構成と数値解析

Research theme for competitive and other funds (27)：

2022 - 2025 楕円型方程式の初期値問題を例とした逆問題の数値的手法の見直し
2021 - 2025 Effective use of multi-precision arithmetic on floating number system of digital computers aiming at numerical computations of differential equations with singulari or ill-posedness
2021 - 2024 Study of Mathematical Modeling and Analysis for Antidune in Rivers
2020 - 2024 多重散乱情報をもちいる次世代イメージング手法の数理解析
2019 - 2024 渦運動による流体方程式の特異性と乱流の統計性の解明

2018 - 2021 Application of high-precision denoising technique with deep learning to neuroimaging research

2018 - 2021 Basic research on quality assurance of numerical simulations by visualizing the regularity of solutions of differential equations

2016 - 2021 Mathematical Sciences aiming at medical application of light propagation in biomedical tissues and related topics

2018 - 2020 Mathematical Reliability of Parallel Computations with Indefinite-order Operations

2016 - 2019 Mathematical modeling for glucose concentration in blood based on inverse problem analysis of fractional differential equations

2015 - 2018 Improvement of MRI-based brain connectome with high-speed and high-precision denoising techniques

2014 - 2018 Understanding of turbulent phenomena through dissipative weak solutions to fluid equations

2014 - 2018 New High-Accurate Numerical Methods for Inverse Problems by the Direct Computations of Integral Equations of the First Kind

2013 - 2016 Fundamental study for high-resolution diffused optical tomography based on numerical analysis and applied analysis

2013 - 2015 Proposal of a new governing equation of crack propagation caused by change of temperature and its analysis

2011 - 2013 High-accurate Numerical Methods for Inverse Problems on Next-generation Computing Environments

2011 - 2012 Estimation of modeling errors and their regularization in applied inverse problems

2010 - 2012 Breakthrough in numerical analysis and numerical computation related with infinitely-precision arithmetic

2009 - 2010 高解像光トモグラフィの実現に向けての数学的基礎研究

2008 - 2010 Development of Magnetic Resonance Elastography System to Observe Deep Inside of the Body

2008 - 2010 Numerical Analysis of Inverse Problems using High-Accurate Regularization and Next-Generation Computing Environments

2007 - 2009 Foundation of high accuracy computational methods on the multiple-precision computer environment and its applications to analysi of inverse problems

2006 - 2007 MRE法による生体内部の仮想的触診に不可欠な数理解析法の確立に向けて

2005 - 2007 蛍光CTの基礎となる輸送方程式の逆問題の解の数値的再構成

2005 - 2007 逆問題の解の再構成のための数値解析理論の構成と次世代数値計算環境の設計と実装

2004 - 2006 Establishment of New Numerical Methods for Applied Inverse and Ill-Posed Problems

2003 - 2004 多倍長数値計算環境下での逆問題・非適切問題の数値解析手法の確立

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Papers (64)：

I-Kun Chen, Hiroshi Fujiwara, Daisuke Kawagoe. Tomography from Scattered Signals Obeying the Stationary Radiative Transport Equation. Practical Inverse Problems and Their Prospects. 2023. 27-46
Hiroshi Fujiwara, Kamran Sadiq, Alexandru Tamasan. The Algebraic Range of the Planar X-Ray Transform of Symmetric Tensors and Applications to Noise Reduction. Practical Inverse Problems and Their Prospects. 2023. 47-68
Hiroshi Fujiwara, Kamran Sadiq, Alexandru Tamasan. Numerical Reconstruction of Radiative Sources from Partial Boundary Measurements. SIAM Journal on Imaging Sciences. 2023. 16. 2. 948-968
Cauchy型積分による部分観測のもとでのX線計算機断層撮影法. JASCOME Reviews. 2022. 2022. 2. 33-48
Hiroshi Fujiwara, Kamran Sadiq, Alexandru Tamasan. Partial inversion of the 2D attenuated $ X $-ray transform with data on an arc. Inverse Problems & Imaging. 2022. 16. 1. 215-215

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MISC (28)：

藤原宏志. 光散乱積分の局所化による生体内の光伝播の数理モデルの高速直接計算法. 第19回ヒト脳機能マッピング学会. 2017
藤原宏志, 東森信就. 2次元定常輻射輸送方程式の上流有限体積法による数値解析. 日本数学会2016年度秋季総合分科会応用数学分科会. 2016
Fujiwara Hiroshi, Iso Yuusuke. Rotationally Invariant Cubature Formula on the Sphere and Its Application to Fast Computation of the 3D Radiative Transport Equation. The Computational Mechanics Conference. 2015. 2015. 28. "209-1"-"209-2"
藤原宏志, 大石直也. On Determination of Optical Properties Using the Radiative Transport Equation. RIMS研究集会「微分方程式の逆問題とその周辺」. 2015
藤原宏志, 大石直也. ヒト頭部データをもちいる輻射輸送方程式のPCとGPUでの高速計算. 第17回日本光脳機能イメージング学会. 2014

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Lectures and oral presentations (63)：

FreeFEM での境界要素法の数値計算と PDF 出力機能拡張
(第44回計算数理工学フォーラム 2023)
Numerical reconstruction of sources in transport equations and their application s
(The 5 th workshop on recent development of mathematical fluid dynamics and hyperbolic conservation laws 2023)
Numerical challenges to optical tomography by the stationary radiative transport equation
(ICIAM2023, Minisymposium on Recent Developments in Applied Inverse Problems 2023)
Some remarks on BemTool and treatment of PDF files in FreeFEM
(Variational problem in engineering and numerical tools 2023)
解の不連続性を利用する3次元散乱信号からのトモグラフィの数値的試み
(第28回計算工学講演会 2023)

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Education (2)：

- 2003 Kyoto University
- 1998 Kyoto University Faculty of Science

Professional career (2)：

京都大学博士(情報学) (京都大学)
修士(情報学) (京都大学)

Work history (3)：

2015/09 - 現在京都大学大学院情報学研究科准教授
2007/04 - 2015/09 京都大学大学院情報学研究科助教
2003/04 - 2007/03 京都大学大学院情報学研究科助手

Committee career (8)：

2021/05 - 現在日本工学会理論応用力学コンソーシアム委員
2020/10 - 現在日本計算数理工学会校閲委員
2020/04 - 現在日本応用数理学会論文誌編集委員
2017/07 - 現在 Journal of Computational Mathematics Associate Editor
2016/04 - 現在日本計算数理工学会理事

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Awards (5)：

2022/09 - 日本計算数理工学会 2021年度日本計算数理工学会論文賞
2015 - 藤原洋数理科学賞奨励賞
2014 - 応用数理学会研究部会連合発表会優秀講演賞
2010 - 計算工学講演会ベストペーパーアワード
2008 - 船井情報科学奨励賞

Association Membership(s) (6)：

日本数学会 , Society for Industrial and Applied Mathematics , 日本ヒト脳機能マッピング学会 , 日本計算工学会 , 日本計算数理工学会 , 日本応用数理学会

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