Basic Information

Faculty

• 理学部 理学部

Professional Memberships

• 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

Academic Degree

• 修士（情報学）(京都大学)
• 博士（情報学）(京都大学)

Research History

• From Apr. 2007, To Sep. 2015

  京都大学大学院, 情報学研究科, 助教
• From Sep. 2015, To Present

  京都大学大学院, 情報学研究科, 准教授
• From Apr. 2003, To Mar. 2007

  京都大学大学院, 情報学研究科, 助手

ID,URL

• J-Global ID

  200901047150163077

researchmap URL

• https://researchmap.jp/read0113652

Research

Research Topics, Overview of the research

• Research Topics

  numerical analysis, high performance computing, inverse problems, numerical instability, multiple-precision arithmetic, visco-elastic equation, optical imaging, radiative transport equation

Research Interests

• 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 Areas

• Natural sciences, Applied mathematics and statistics, 数値解析，応用数学一般
• Natural sciences, Basic mathematics, 数値解析，応用数学一般

Papers

• Inversion of the attenuated momenta ray transform of planar symmetric tensors

  Hiroshi Fujiwara; David Omogbhe; Kamran Sadiq; Alexandru Tamasan

  Inverse Problems, 28 May 2024, Peer-reviewed

  
• Heat convections in the horizontal layer with non-uniform heat supply

  Hiroshi Fujiwara; Takaaki Nishida

  Japan Journal of Industrial and Applied Mathematics, 20 Apr. 2024, Peer-reviewed, Corresponding author

  
• FreeFEM での境界要素法の数値計算と PDF 出力機能拡張

  藤原宏志

  計算数理工学会レビュー, Nov. 2023, Invited

  
• Tomography from Scattered Signals Obeying the Stationary Radiative Transport Equation

  I-Kun Chen; Hiroshi Fujiwara; Daisuke Kawagoe

  Practical Inverse Problems and Their Prospects, 10 Sep. 2023, Peer-reviewed, Corresponding author

  
• The Algebraic Range of the Planar X-Ray Transform of Symmetric Tensors and Applications to Noise Reduction

  Hiroshi Fujiwara; Kamran Sadiq; Alexandru Tamasan

  Practical Inverse Problems and Their Prospects, 10 Sep. 2023, Peer-reviewed

  
• Numerical Reconstruction of Radiative Sources from Partial Boundary Measurements

  Hiroshi Fujiwara; Kamran Sadiq; Alexandru Tamasan

  SIAM Journal on Imaging Sciences, 07 Jun. 2023, Lead author, Corresponding author

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• 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

  藤原宏志; 大石直也; SADIQ Kamran; TAMASAN Alexandru

  JASCOME Reviews, Sep. 2022, Invited, Lead author, Corresponding author

  
• Application of Multiple-Precision Arithmetic to Inverse and Ill-posed Problems(Lectures in JSIAM Summer Seminar on "Inverse Problems")

  Fujiwara Hiroshi

  Bulletin of the Japan Society for Industrial and Applied Mathematics, 2006

  
• New Multiple-Precision Arithmetic Environment and Its Application to Numerical Computations(Scientific Computation and Numerical Analysis; Basics and Applications of Multiprecision Scientific Computation, Joint Symposium of JSIAM Activity Groups 2005)

  FUJIWARA Hiroshi; ISO Yuusuke

  Transactions of the Japan Society for Industrial and Applied Mathematics, 2005

  
• 4th JSIAM-SIMAI Seminar on Industrial and Applied Mathematics (2)

  Fujiwara Hiroshi

  Bulletin of the Japan Society for Industrial and Applied Mathematics, 2005

  
• Partial inversion of the 2D attenuated $ X $-ray transform with data on an arc

  Hiroshi Fujiwara; Kamran Sadiq; Alexandru Tamasan

  Inverse Problems & Imaging, 2022

  
• Web-based Visualization Framework on FreeFEM

  LEE, Yu-Hsun; 藤原 宏志

  計算数理工学論文集, Dec. 2021, Peer-reviewed

  
• Numerical Computation of X-ray Computerized Tomography from Partial Measurement

  藤原 宏志; 大石 直也; K. Sadiq; A. Tamasan

  計算数理工学論文集, Dec. 2021, Peer-reviewed, Lead author, Corresponding author

  
• A source reconstruction method in two dimensional radiative transport using boundary data measured on an arc

  Hiroshi Fujiwara; Kamran Sadiq; Alexandru Tamasan

  Inverse Problems, 06 Oct. 2021, Peer-reviewed

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• Numerical Realization of X-ray Computerized Tomograpphy by Cauchy-type Boundary Integration

  Hiroshi Fujiwara, Kamran Sadiq, Alexandru Tamasan

  数理解析研究所講究録, Feb. 2021, Lead author

  
• Numerical regularity map for simple one-dimensional fractional differential equations with Hölder continuous solutions

  Mana Kato; Hiroshi Fujiwara; Hitoshi Imai

  Adv. Math. Sci. Appl., 2021, Peer-reviewed

  
• Multiple-Precision Arithmetic of Biot-Savart Integrals for Reconnections of Vortex Filaments

  Yu-Hsun Lee; Hiroshi Fujiwara

  Computational Science and Its Applications – ICCSA 2021, 2021, Peer-reviewed

  
• Regularization of x-ray computerized tomography by the Cauchy-type boundary integral formula

  Hiroshi Fujiwara; Naoya Oishi

  Transactions of the Japan Society for Computational Methods in Engineering, Dec. 2020, Peer-reviewed, Lead author, Last author, Corresponding author

  
• Numerical reconstruction of radiative sources in an absorbing and non-diffusing scattering medium in two dimensions

  H.Fujiwara; K. Sadiq; A. Tamasan

  SIAM Journal on Imaging Sciences, Mar. 2020, Peer-reviewed, Lead author, Corresponding author

  
• A Fourier approach to the inverse source problem in an absorbing and anisotropic scattering medium

  H. Fujiwara; K. Sadiq; A. Tamasan

  Inverse Problems, 2020, Peer-reviewed

  
• Piecewise Constant Upwind Approximations to the Stationary Radiative Transport Equation

  Hiroshi Fujiwara

  Mathematics for Industry, 2020, Peer-reviewed, Lead author, Last author, Corresponding author

  
• Cauchy 型積分によるメッシュレス X 線計算機断層撮影法

  FUJIWARA Hiroshi; TAMASAN Alexandru

  計算数理工学論文集, Dec. 2019, Peer-reviewed

  
• Multiple-Precision Arithmetic Environment in MATLAB for Reliable Numerical Computations

  FUJIWARA Hiroshi

  JJIAM, Sep. 2019, Peer-reviewed

  
• Numerical Realization of a New Generation Tomography Algorithm Based on the Cauchy-type Integral Formula

  FUJIWARA Hiroshi; TAMASAN Alexandru

  Advances in Mathematical Sciences and Applications, 2019, Peer-reviewed

  
• Multiple-Precision Arithmetic Environment in MATLAB and Its Application to Reliable Computation of Fractional Order Derivatives

  FUJIWARA Hiroshi

  マス・フォア・インダストリ研究, Feb. 2018

  
• 連立一次方程式に対する定常反復解法の並列計算に関する一考察

  藤原 宏志

  数理解析研究所講究録, 2018

  
• Numerical experiments on analyticity of solutions to fractional differential equations

  H.Fujiwara; N.Higashimori; H.Imai

  Advances in Mathematical Sciences and Applications, 2018, Peer-reviewed

  
• Semi-discrete finite difference schemes for the nonlinear Cauchy problems of the normal form

  Nobuyuki Higashimori; Hiroshi Fujiwara

  PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, Nov. 2017, Peer-reviewed

  
• 生体内の光伝播の数値計算のための定常輻射輸送方程式の上流差分スキームの数値解析

  FUJIWARA Hiroshi

  JASCOME Reviews, 2017, Invited

  
• Convergence of finite difference schemes applied to the cauchy problems of quasi-linear partial differential equations of the normal form

  Nobuyuki Higashimori; Hiroshi Fujiwara; Yuusuke Iso

  Springer Proceedings in Mathematics and Statistics, 2017, Peer-reviewed

  
• Direct Numerical Computation of the Stationary Radiative Transport Equation on Modern Parallel Architectures

  H. Fujiwara; N. Oishi

  Proceedings of the 2017 16th International Symposium on Distributed Computing and Applications to Business, Engineering and Science, 2017, Peer-reviewed

  
• Development of Local Integral Type Reconstruction Formula for Magnetic Resonance Elastography

  Urume R; Suga M; Maekawa S; Fujiwara H

  Proceedings of the International Forum on Medical Imaging in Asia 2017, 2017, Peer-reviewed

  
• PIECEWISE CONSTANT APPROXIMATION WITH RESPECT TO VELOCITY OF THE STATIONARY RADIATIVE TRANSPORT EQUATION

  藤原 宏志

  計算数理工学論文集, Dec. 2016, Peer-reviewed

  
• The general sampling theory by using reproducing kernels

  Hiroshi Fujiwara; Saburou Saitoh

  Contributions in Mathematics and Engineering: In Honor of Constantin Caratheodory, 01 Jan. 2016, Peer-reviewed, Invited

  
• A study on large scale parallel computation of the radiative transport equation with memory access analysis

  FUJIWARA Hiroshi

  Transactions of the Japan Society for Computational Methods in Engineering, Dec. 2015, Peer-reviewed

  
• 高精度積分則とGPU による3次元輻射輸送方程式の大規模計算の高速化 (新時代の科学技術を牽引する数値解析学)

  藤原宏志; 大石直也

  数理解析研究所講究録, 2015, Peer-reviewed

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• Stability of the CIP Scheme Applied to Linear Advection Equations(Theory)

  Tanaka Daiki; Fujiwara Hiroshi; Nishida Takaaki; Iso Yuusuke

  Transactions of the Japan Society for Industrial and Applied Mathematics, 2015, Peer-reviewed

  
• A Remark on the Courant-Friedrichs-Lewy Condition in Finite Difference Approach to PDE's

  Kosuke Abe; Nobuyuki Higashimori; Masayoshi Kubo; Hiroshi Fujiwara; Yuusuke Iso

  ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, Oct. 2014, Peer-reviewed

  
• Numerical Real Inversion of the Laplace Transform by Using Multiple-Precision Arithmetic

  FUJIWARA Hiroshi; HIGASHIMORI Nobuyuki

  Lib. Math. (N.S.), 2014, Peer-reviewed

  
• A New Discretization Principle

  H. Fujiwara; M. M. Rodriguess; S. Saitoh; V. K. Tuan

  International Journal of Mathematics and Computation, 2014, Peer-reviewed

  
• Remarks on the Courant-Friedrichs-Lewy Condition

  K. Abe; N. Higashimori; M. Kubo; H. Fujiwara; Y. Iso

  Transactions of the Japan Society for Industrial and Applied Mathematics, 2014, Peer-reviewed

  
• A Fast Algorithm for the Three-dimensional Stationary Radiative Transport Equation by Approximating the Scattering Phase Function

  Hiroshi Fujiwara

  Transactions of the Japan Society for Computational Methods in Engineering, Nov. 2013, Peer-reviewed

  
• NUMERICAL CHALLENGES TO THE THREE DIMENSIONAL STATIONARY RADIATIVE TRANSPORT EQUATION

  藤原宏志

  計算数理工学論文集, Dec. 2012, Peer-reviewed

  
• 輸送方程式の初期・境界値問題に対する差分法と台形公式による数値解析

  東森 信就; 藤原 宏志

  数理解析研究所講究録, Apr. 2012

  
• A new discretization method by means of reproducing kernels

  L. P. Castro; H. Fujiwara; M. M. Rodriguess; S. Saitoh

  Interactions between real and complex analysis, Sci. and Tech. Publication House, 2012, Peer-reviewed

  
• Fundamental Error Estimate Inequalities for the Tikhonov Regularization Using Reproducing Kernels

  L.P.Castro; H.Fujiwara; S.Saitoh; Y.Sawano; A.Yamada; Y.Yamada

  International Series of Numerical Mathematics (Inequalities and Applications 2010), 2012, Peer-reviewed

  
• High-accurate Computation with Multiple-precision Arithmetic

  Fujiwara Hiroshi

  Bulletin of the Japan Society for Industrial and Applied Mathematics, 22 Dec. 2011

  
• ACCELERATION OF NUMERICAL COMPUTATION OF THE COMPLEX INVERSE LAPLACE TRANSFORM USING A MULTIPLE PRECISION SYSTEM ON GPU

  眞鍋秀悟; 藤原宏志

  計算数理工学論文集, 16 Dec. 2011, Peer-reviewed

  
• Fast Numerical Computation for the Stationary Radiative Transport Equation using Multigrid

  藤原宏志

  計算数理工学論文集, Dec. 2011, Peer-reviewed

  
• APPROXIMATE STEADY STATE MODELS FOR MAGNETIC RESONANCE ELASTOGRAPHY

  Yu Jiang; Hiroshi Fujiwara; Gen Nakamura

  SIAM JOURNAL ON APPLIED MATHEMATICS, 2011, Peer-reviewed

  
• Remarks on numerical computations of the complex inverse Laplace transform

  藤原 宏志

  Transactions of the Japan Society for Computational Methods in Engineering, Dec. 2010, Peer-reviewed

  
• Numerical Real Inversion of the Laplace Transform by Reproducing Kernel and Multiple-Precision Arithmetic

  H.Fujiwara

  Progress in Analysis and Its Applications - Proceedings of the 7th International ISAAC Congress, Aug. 2010, Peer-reviewed

  
• Finite difference approximation of Ill-posed cauchy problems

  K. Nishida; H. Fujiwara; Y. Iso

  Theoretical and Applied Mechanics Japan, 2009, Peer-reviewed

  
• Numerical real inversion of the Laplace transform by using a high-accuracy numerical method

  H.Fujiwara; T.Matsuura; S.Saitoh; Y.Sawano

  Future Progress in Analysis - Proceedings of the 6th International ISAAC Congress, Jan. 2009, Peer-reviewed

  
• 数値的に不安定な線型問題のための多倍長精度・並列直接解法ライブラリの開発

  藤原宏志

  計算数理工学論文集, Nov. 2008, Peer-reviewed

  
• Real Inversion Formulas of the Laplace Transform on Weighted Function Spaces

  Yosihiro Sawano; Hiroshi Fujiwara; Saburou Saitoh

  COMPLEX ANALYSIS AND OPERATOR THEORY, Aug. 2008, Peer-reviewed

  
• Real inversion of the Laplace transform in numerical singular value decomposition

  H. Fujiwara; T. Matsuura; S. Saitoh; Y. Sawano

  J. Anal. Appl., Mar. 2008, Peer-reviewed

  
• Numerical real inversion formulas of the Laplace transform by using the sinc functions

  T. Matsuura; A. Al-Shuaibi; H. Fujiwara; S. Saitoh; M. Sugihara

  Far East Journal of Mathematical Science, Oct. 2007, Peer-reviewed

  
• Application of multiple-precision arithmetic to direct numerical computation of inverse acoustic scattering

  Hiroshi Fujiwara; Yuusuke Iso

  Journal of Physics: Conference Series, 01 Jun. 2007, Peer-reviewed

  
• Design of a Multiple-precision Arithmetic Environment for Scientific Numerical Computations and Direct Computations of Numerically Unstable Schemes

  FUJIWARA HIROSHI

  情報処理学会論文誌, 15 May 2007, Peer-reviewed

  
• Numerical real inversion formulas of the Laplace transform by using a Fredholm integral equation of the second kind

  Matsuura, T; Al-Shuaibi; Abdulaziz; Fujiwara H; Saitoh, S

  J. Anal. Appl., 2007, Peer-reviewed

  
• Numerical treatment of analytic continuation with multiple-precision arithmetic

  Hiroshi Fujiwara; Hitoshi Imai; Toshiki Takeuchi; Yuusuke Iso

  Hokkaido Mathematical Journal, 2007, Peer-reviewed

  
• 第一種積分方程式の高精度数値計算について

  藤原 宏志; 今井 仁司; 竹内 敏己; 磯 祐介

  日本応用数理学会論文誌, 2005, Peer-reviewed

  
• High-accurate numerical method for integral equations of the first kind under multiple-precision arithmetic

  H. Fujiwara

  Theoretical and Applied Mechanics Japan, 2003, Peer-reviewed

  
• Some remarks on the choice of regularization parameters under multiple-precision arithmetic

  H. Fujiwara; Y. Iso

  Theoretical and Applied Mechanics Japan, 2002, Peer-reviewed

  
• Numerical computations for ill-conditioned problems by multiple-precision systems

  Y Iso; H Fujiwara; K Saito

  MATHEMATICAL MODELING AND NUMERICAL SIMULATION IN CONTINUUM MECHANICS, 2002, Peer-reviewed

  
• Numerical challenge to ill-posed problems by Fast Multiple-precision System

  H. Fujiwara; Y. Iso

  Theoretical and Applied Mechanics Japan, 2001, Peer-reviewed

  

Misc.

• On Eigenproblems and Its Application to Inverse Problems by Multiple-precision Arithmetic

  FUJIWARA Hiroshi

  IPSJ SIG Notes, 02 Aug. 2007

  
• NUMERICAL REAL INVERSION FORMULAS OF THE LAPLACE TRANSFORM BY USING THE SINC FUNCTIONS(Solution methods by computers in analysis)

  MATSUURA T.; AL-SHUAIBI A.; FUJIWARA H.

  RIMS Kokyuroku, Jul. 2007

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• Numerical Real Inversion Formulas of the Laplace Transform by using a Fredholm integral equation of the second kind(Solution methods by computers in analysis)

  Matsuura T.; Al-Shuaibi Abdulaziz; Fujiwara H.

  RIMS Kokyuroku, Jul. 2007

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• Numerical Real Inversions of the Laplace Transform by Multiple-Precision Arithmetic(Solution methods by computers in analysis)

  藤原 宏志

  RIMS Kokyuroku, Jul. 2007

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• Numerical Real Inversions of the Laplace Transform and their Applications (Applications of Reproducing Kernels)

  Fujiwara Hiroshi

  RIMS Kokyuroku, Dec. 2008

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• ラプラス変換の実逆変換への再生核空間の応用 (II) (再生核の応用についての研究)

  梶野 直孝; 澤野 嘉宏; 藤原 宏志

  数理解析研究所講究録, Dec. 2008

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• ラプラス変換の実逆変換への再生核空間の応用 (再生核の応用についての研究)

  澤野 嘉宏; 藤原 宏志; 齋藤 三郎

  数理解析研究所講究録, Dec. 2008

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• 逆問題の非適切性--数値計算から見える非適切性 (フォーラム:現代数学のひろがり 逆問題の広がり)

  藤原 宏志; 磯 祐介

  数学のたのしみ : have fun with mathematics, 2007

  
• Chapter(5) : Appendix (1) : Plant Opal Analysis in extensive area of the University Library

  Fujiwara Hiroshi

  Archaeological researches and studies at Yamaguchi University, 1985

  
• Design of a Multiple-precision Arithmetic Package for a 64-bit Computing Environment and Its Application to Numerical Computation of Ill-posed Problems

  FUJIWARA HIROSHI; ISO YUUSUKE

  IPSJ journal, 15 Mar. 2003

  
• Scientific Computing and Multiple-Precision Arithmetic for Inverse Problems

  FUJIWARA Hiroshi

  Systems, control and information, 15 May 2006

  
• Introduction

  FUJIWARA Hiroshi

  システム農学, 10 Apr. 2002

  
• Fast Multiple-Precision Arithmetic Environment for Scientific Computation

  FUJIWARA Hiroshi

  計測と制御 = Journal of the Society of Instrument and Control Engineers, 10 May 2010

  
• Real Inversion Formulas of the Laplace Transform by Using the Theory of Reproducing Kernels

  Matsuura Tsuomu; Fujiwara Hiroshi; Saitoh Sabrou

  日本機械学会関東支部ブロック合同講演会講演論文集, 2008

  
• Rotationally Invariant Cubature Formula on the Sphere and Its Application to Fast Computation of the 3D Radiative Transport Equation

  Fujiwara Hiroshi; Iso Yuusuke

  The Computational Mechanics Conference, 10 Oct. 2015

  
• 再生核Hilbert空間上のTikhonov正則化法とLaplace実逆変換の数値計算への応用 (数値解析における理論・手法・応用)

  藤原 宏志; 東森 信就

  数理解析研究所講究録, Apr. 2009

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• 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

  藤原 宏志

  第19回ヒト脳機能マッピング学会, Mar. 2017

  
• 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

  藤原宏志; 東森信就

  日本数学会2016年度秋季総合分科会 応用数学分科会, Sep. 2016

  
• On Determination of Optical Properties Using the Radiative Transport Equation

  藤原宏志; 大石直也

  RIMS研究集会「微分方程式の逆問題とその周辺」, Jan. 2015, Peer-reviewed

  
• 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

  藤原 宏志; 大石直也

  第17回 日本光脳機能イメージング学会, Jul. 2014

  
• 生体内での光拡散現象に対する数値的手法の比較

  藤原 宏志

  第10回応用数理学会研究部会連合発表会, Mar. 2014

  
• 散乱位相函数の退化核近似をもちいる3次元定常輻射輸送方程式の高速計算と信頼性

  藤原 宏志

  第16回日本ヒト脳機能マッピング学会, Mar. 2014

  
• 3次元MRI画像をもちいる定常輻射輸送方程式の数値計算

  藤原宏志; 大石直也

  第15回日本ヒト脳機能マッピング学会，東京大学伊藤国際学術研究センター, 06 Jul. 2013

  
• 生体光学パラメータを利用した輻射輸送方程式の数値計算

  藤原宏志; 大石直也

  第62回理論応用力学講演会, Mar. 2013, Peer-reviewed

  
• 生体の光学特性値測定のための３次元輻射輸送方程式の数値計算法の開発と応用

  藤原宏志; 東森信就

  日本ヒト脳機能マッピング学会プログラム・抄録集, 2012

  
• 光トモグラフィーの基礎 － 次代を拓くためのアプローチ (教育講演)

  藤原宏志

  日本ヒト脳機能マッピング学会, 国立京都国際会館, 2011, Invited

  
• Inversion Algorithm by Integral Type Reconstruction Formula for Magnetic Resonance Elastography

  M. Suga; H. Miura; H. Fujiwara; T. Yamamoto; T. Tanaka; Q. YU; K. Arai; J. P. Gong; G. Nakamura; H. Ikehira; T. Obata

  Proceedings of International Society for Magnetic Resonance in Medicine, 2009, Peer-reviewed

  
• Methods for an Integral Equation of the First Kind

  今井 仁司; 竹内 敏己; 磯 祐介; 藤原 宏志

  第51回理論応用力学講演会講演論文集, 2002

  

Presentations

• 輻射輸送方程式の数値解析と数値計算

  藤原宏志

  応用数学と数値解析の最近の進展, 15 Jun. 2024

  
• DRMを用いた非圧縮性粘性流れの境界要素法の開発

  山田義博; 登坂宣好; 藤原宏志

  第29回計算工学講演会, 11 Jun. 2024

  
• MRエラストグラフィの実現に向けたデジタル粘弾性ファントムの開発

  藤原宏志; 図師田建; 菅幹生

  第29回計算工学講演会, 10 Jun. 2024

  
• Numerical feasibility of optical tomography by the stationary radiative transport equation

  Hiroshi Fujiwara

  2024 Japan-Taiwan Joint Workshop on Numerical Analysis and Inverse Problems, 09 Mar. 2024, Invited

  
• Numerical reconstruction of sources in transport equations and their application s

  Hiroshi Fujiwara

  The 5 th workshop on recent development of mathematical fluid dynamics and hyperbolic conservation laws, 31 Aug. 2023, Invited

  
• Numerical challenges to optical tomography by the stationary radiative transport equation

  I-Kun Chen; Hiroshi Fujiwara; Daisuke Kawagoe

  ICIAM2023, Minisymposium on Recent Developments in Applied Inverse Problems, 23 Aug. 2023

  
• Some remarks on BemTool and treatment of PDF files in FreeFEM

  Hiroshi Fujiwara

  Variational problem in engineering and numerical tools, 18 Aug. 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

  藤原宏志; 川越大輔; 大石直也

  第28回計算工学講演会, 31 May 2023

  
• On a Cauchy-type singular integral equation for x-ray computerized tomography with partial measurement

  藤原宏志; Kamran Sadiq; Alexandru Tamasan

  日本数学会 2023年度年会 応用数学分科会, 17 Mar. 2023

  
• A direct algorithm for X-ray computerized tomography from partial boundary measurement

  Hiroshi Fujiwara

  Analysis Seminar, Academia Sinica, 17 Nov. 2022

  
• Cauchy型境界積分によるエックス線断層撮影法の安定化パラメータの選択

  藤原宏志

  第14回最適化シンポジウム, 13 Nov. 2022

  
• FreeFEMにおける2次元数値計算結果のPDFファイル出力の機能拡張

  藤原宏志

  日本応用数理学会2022年度年会, 09 Sep. 2022

  
• 不連続性に基く散乱信号からのトモグラフィの数値的実現

  藤原宏志; 川越大輔; Chen, I-Kun

  第27回計算工学講演会 OS10 逆問題の数理と実用化への展開, 08 May 2022

  
• 特異積分方程式による部分観測でのＸ線計算機トモグラフィ

  藤原宏志; K.Sadiq; A.Tamasan

  日本応用数理学会第18回研究部会連合発表会, 08 Mar. 2022

  
• On feasibility of numerical reconstruction of the attenuation coefficient in the stationary radiative transport equation

  H. Fujiwara

  Practical Inverse Problems and Their Prospects, 02 Mar. 2022, Invited

  
• An Efficient Numerical Scheme for Near-Infrared Light Propagation in Turbid Media

  Hiroshi Fujiwara

  IUTAM symposium computational methods for large-scale and complex wave problems, 25 Jun. 2021, Invited

  
• 輸送方程式のソース項同定逆問題による X 線計算機断層撮影の数値的実現

  藤原宏志

  第26回計算工学講演会, 23 Jun. 2021

  
• ソース項同定逆問題としての X 線 CT の正則化法

  藤原宏志

  日本数学会2021年度年会 応用数学分科会, 17 Mar. 2021

  
• PDF output extensions of 2D Computations in FreeFEM

  Hiroshi Fujiwara

  FreeFEM Days 2020, 10 Dec. 2020

  
• Numerical challenge to x-ray computerized tomography by boundary integrals

  Hiroshi Fujiwara

  Computational and Applied Mathematics Seminar, University of Wyoming, 25 Sep. 2020

  
• Theoretical numerical analysis and computation of light propagation in biomedical tissue

  Hiroshi Fujiwara

  公開シンポジウム「第6回理論応用力学シンポジウム」, 03 Sep. 2020, Invited

  
• A Novel X-ray Computerized Tomography by Boundary Integration

  Hiroshi Fujiwara

  Intensive Seminar on Inverse Modelling and Computation, 03 Aug. 2020

  
• A Numerical Study of X-ray Computerized Tomography by a Cauchy-type Integral Formula

  Hiroshi Fujiwara

  NCTS PDE & Analysis Seminar, 24 Jun. 2020

  
• Numerical realizations of X-ray computerized tomography by Cauchy-type boundary integration

  Hiroshi Fujiwara; Tamasan Alexandru

  RIMS 共同研究 (公開型)「偏微分方程式による逆問題解析とその周辺」, 10 Jan. 2020

  
• Multiple-Precision Arithmetic and Its Implementation for Matlab

  FUJIWARA Hiroshi

  Computational and Applied Mathematics Seminar, University of Wyoming, 19 Sep. 2019

  
• Efficient Numerical Methods for Photon Propagation in Tissue by Graded and Non-conformal Meshes

  FUJIWARA Hiroshi

  Computational and Applied Mathematics Seminar, University of Wyoming, 17 May 2019

  
• Rounding Errors and Multiple-Precision Arithmetic for Advanced Numerical Simulations

  FUJIWARA Hiroshi

  Mathematical Colloquium Series, University of Central Florida, 05 Apr. 2019

  
• Numerical Computation of the 2D Stationary Radiative Transport Equation on Graded Meshes

  藤原 宏志

  Japan-Taiwan Joint Workshop on Scientific Computing and Related Topics, 25 Nov. 2018, Invited

  
• 多角形メッシュによる生体内の近赤外伝播の効率的な数値計算法

  藤原 宏志

  第25回医用近赤外分光光研究会, 14 Sep. 2018

  
• Advantageous of the Finite Volume Method in Numerical Computation for Light Propagation in Biological Tissue

  藤原 宏志

  ICME2018, 06 Sep. 2018

  
• 多倍長計算環境exflibの最新計算環境への対応と普及

  藤原 宏志

  日本応用数理学会年会2018年度年会, 04 Sep. 2018, Invited

  
• Development of Dynamic Loading Module in FreeFem++ for Obtaining a System of Linear Equations

  H.Fujiwara; F.Hecht

  日本応用数理学会年会2018年度年会, 03 Sep. 2018

  
• Multiple-Precision Arithmetic on MATLAB and Related Software for Reliable Computations

  藤原 宏志

  CJK Conference 2018, 21 Aug. 2018, Invited

  
• 多角形をもちいる不連続Galerkin法の収束性の検証

  藤原 宏志

  ODE-JP 2018, 10 Jul. 2018

  
• Numerical Computation of the Radiative Transport Equation on Nonconformal Meshes

  藤原 宏志

  EASIAM2018, 25 Jun. 2018

  
• Finite Volume Method for Photon Propagation in Biomedical Tissue

  藤原 宏志

  CoMFoS18, 18 Jun. 2018, Invited

  
• Numerical challenges to the radiative transport equation for near-infrared light propagation in tissue

  FUJIWARA Hiroshi

  Numerical Analysis: Applications to Biomedical Problems and Foundations, 21 Feb. 2018

  
• Quantitative simulation of light emitting by optical fibers in the radiative transport equation

  FUJIWARA Hiroshi

  A3 Workshop on Applied Inverse Problems and Related Topics, 28 Nov. 2017

  
• 連立線型方程式に対する定常反復解法の並列計算に関する一考察

  藤原 宏志

  RIMS共同研究 (公開型)「数値解析学の最前線 ---理論・方法・応用---」, 10 Nov. 2017, Invited

  
• Multiple-Precision Arithmetic on MATLAB for reliable computation of numerically unstable problems

  FUJIWARA Hiroshi

  IMI Research Meeting "Collaboration among mathematics, engineering and industry on various problems in infrastructure and environment", 25 Oct. 2017

  
• Discretization of a conservation law of the stationary radiative transport equation

  FUJIWARA Hiroshi

  Numerical Methods and Analysis for Structures and Sigularites in Fulids II, 31 Jan. 2017

  
• Direct computation of the radiative transfer equation for near-infrared light propagation in biological tissue

  FUJIWARA Hiroshi

  The 11th AIMS Conference, 05 Jul. 2016

  
• Numerical Computation of the 2D Radiative Transport Equation by Upwind Finite Volume Method

  FUJIWARA Hiroshi

  SIAM: East Asian Section Conference 2016, 20 Jun. 2016

  
• MATLAB 上の多倍長計算環境の開発と数値 Laplace 実逆変換への応用

  藤原 宏志

  RIMS 研究集会「偏微分方程式の逆問題とその応用の新展開」, 28 Jan. 2016

  
• 球面上の回転対称な高精度積分則と3次元輸送方程式の高速計算への応用

  藤原 宏志; 磯祐介

  第28回 計算力学講演会 (CMD2015), 11 Oct. 2015

  
• On Determination of Optical Properties Using the Radiative Transport Equation

  藤原 宏志; 大石直也

  RIMS研究集会「微分方程式の逆問題とその周辺」, 26 Jan. 2015

  
• Numerical Analysis of the Radiative Transfer Equation for Medical Imaging

  FUJIWARA Hiroshi

  A3 Foresight Program Conference on Modeling and Computation of Applied Inverse Problems, 07 Nov. 2014

  
• 高精度積分則と GPU による 3 次元輻射輸送方程式の大規模計算の高速化

  藤原 宏志; 大石直也

  RIMS 研究集会「新時代の科学技術を牽引する数値解析学」, 09 Oct. 2014

  
• 球面上の高精度数値積分則の 3 次元輻射輸送方程式への応用

  藤原 宏志

  連続体力学の数理 CoMFoS14, Oct. 2014

  
• 球面上の高精度数値積分則と3次元定常輻射輸送方程式への応用

  藤原 宏志

  第3回岐阜数理科学研究会, 08 Sep. 2014

  
• 球面上の高精度積分則とある非適切問題への応用

  藤原 宏志

  第63回理論応用力学講演会, Sep. 2014

  
• An Accurate Quadrature Rule on the Sphere for the Fast Computation of the Radiative Transport Equation

  FUJIWARA Hiroshi

  EASIAM 2014, 23 Jun. 2014

  
• Fast and Reliable Algorithms for the Three Dimensional Radiative Transport Equation

  FUJIWARA Hiroshi

  2014 Japan-Taiwan Joint Workshop on Numerical Analysis and Scientific Computation, 04 Apr. 2014

  
• Numerical Computations of the Stationary Radiative Transport Equation with Optical Properties of Human Brains

  H. Fujiwara; N. Oishi

  The 9th East Asia SIAM Conference (EASIAM-CIAM 2013), Bandung, Jun. 2013

  
• 生体工学パラメータを利用した輻射輸送方程式の数値計算

  藤原宏志; 大石直也

  第62回理論応用力学講演会，東京工業大学大岡山キャンパス, Mar. 2013

  
• 数値計算の信頼性 － 数値解析学と多倍長計算の視点から

  第14回情報学シンポジウム 数値シミュレーションと情報学, 19 Feb. 2013, 京都大学情報学研究科

  
• High-Accurate Numerical Evaluation of One-Loop Integra

  H. Fujiwara

  Intensive Seminar on Applied Analysis in Arima, 17 Feb. 2013

  
• 降水リトリーバルと逆問題

  藤原宏志

  「地球気象気候現象のデータ解析とモデルの精密化」ワークショップ, 北海道大学, 26 Dec. 2012

  
• 高精度光伝播シミュレーションのための輻射輸送方程式の数値解析と数値計算

  藤原宏志

  第2回 画像逆問題の数理解析研究会, 国立情報学研究所, 21 Dec. 2012

  
• Multiple-precision arithmetic for scientific computation

  H. Fujiwara

  Workshop on GPGPU/High-Accurate Computation in Arima 2012, 02 Sep. 2012

  
• 光伝播モデルとしての3次元輻射輸送方程式と拡散近似の比較

  藤原宏志; 東森信就

  第15回光脳機能イメージング研究会, 28 Jul. 2012

  
• Numerical Analysis and Computations for the Radiative Transport Equation

  H Fujiwara

  The 8th East Asia SIAM Conference (EASIAM 2012), National Taiwan University, Taipei, 2012

  
• High-Accurate Computation of One-Loop Integrals by Several Hundred Digits Multiple-Precision Arithmetic

  H Fujiwara

  3rd Computational Particle Physics Workshop, PoS(CPP2010)013, 2011, Invited

  
• Remarks on Numerical Instability of Complex Inverse Laplace Transforms using Multiple-Precision Arithmetic

  H Fujiwara

  The 7th East Asia SIAM Conference (EASIAM2011), Waseda University Kitakyushu Campus, 2011

  
• Direct treatment of numerical instability of inverse Laplace transforms using multiple-precision arithmetic

  H Fujiwara

  Laplace Transform Methods and Thier Applications, National Institute for Mathematical Science, Daejeon, 2011, Invited

  
• 多倍長計算・高精度計算による数値計算の拡がり

  藤原宏志

  第6 回「計算機を用いた数学研究GCOE セミナー（2010 年7 月23 日～24 日）, 2010

  

Awards

• 16 Sep. 2022

  日本計算数理工学会論文賞
• 2008

  船井情報科学振興財団, 第7回 船井情報科学奨励賞
• 2010

  日本計算工学会, 第15回 計算工学講演会ベストペーパーアワード
• 2014

  The Japan Society for Industrial and Applied Mathematics, 第1回 応用数理学会 研究部会連合発表会優秀講演賞
• 03 Oct. 2015

  藤原洋数理科学賞実行委員会, 第4回藤原洋数理科学賞奨励賞

External funds: Kakenhi

• Study of Mathematical Modeling and Analysis for Antidune in Rivers

  Grant-in-Aid for Challenging Research (Exploratory)

  Medium-sized Section 12:Analysis, applied mathematics, and related fields

  Kyoto University

  磯 祐介

  From 09 Jul. 2021, To 31 Mar. 2024, Granted

  数理モデル化;数値解析;安定性解析;反砂堆(antidune);数理モデルの数値シミュレーション

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21K18586/
• 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

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12040:Applied mathematics and statistics-related

  Kyoto University

  磯 祐介

  From 01 Apr. 2021, To 31 Mar. 2025, Granted

  数値解析学;多倍長数値計算;逆問題・非適切問題解析;ひかりトモグラフィ;流体・弾性体方程式の解の特異性

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21H00999/
• 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

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12040:Applied mathematics and statistics-related

  Kyoto University

  藤原 宏志

  From 01 Apr. 2020, To 31 Mar. 2024, Granted

  逆問題;トモグラフィ;輻射輸送方程式;数値解析;数値計算;部分観測;イメージング;エックス線トモグラフィ;陽電子断層撮影;再構成

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20H01821/
• Study of singularity of the equations of fluids and stochasticity of turbulence from the view point of vortex motion

  Grant-in-Aid for Scientific Research (A)

  Medium-sized Section 12:Analysis, applied mathematics, and related fields

  Nagoya University

  木村 芳文

  From 01 Apr. 2019, To 31 Mar. 2024, Granted

  渦運動;流体方程式の特異性;乱流;渦リコネクション;流体方程式の正則化;量子乱流;流体方程式の解の特異性;オイラー方程式の正則化;完全流体方程式の正則化

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19H00641/
• Mathematical Reliability of Parallel Computations with Indefinite-order Operations

  Grant-in-Aid for Challenging Research (Exploratory)

  Medium-sized Section 12:Analysis, applied mathematics, and related fields

  Kyoto University

  Hiroshi Fujiwara

  From 29 Jun. 2018, To 31 Mar. 2020, Project Closed

  数値解析学;並列計算;信頼性;科学・技術数値計算;数値解析;ハイパフォーマンスコンピューティング

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18K18719/
• Application of high-precision denoising technique with deep learning to neuroimaging research

  Grant-in-Aid for Scientific Research (C)

  Basic Section 52040:Radiological sciences-related

  Kyoto University

  Naoya Oishi

  From 01 Apr. 2018, To 31 Mar. 2021, Project Closed

  深層学習;MRI;脳;精神神経疾患;ノイズ除去;GPGPU;医用画像工学

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18K07712/
• Basic research on quality assurance of numerical simulations by visualizing the regularity of solutions of differential equations

  Grant-in-Aid for Scientific Research (C)

  Basic Section 12040:Applied mathematics and statistics-related

  Doshisha University

  Hitoshi Imai

  From 01 Apr. 2018, To 31 Mar. 2021, Project Closed

  品質;正則性;地図;数値計算;微分方程式;滑らかさ;可視化;爆発;非整数階微分;ヘルダー連続;振動現象;特異点;正則;数値解析

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18K03436/
• Mathematical modeling for glucose concentration in blood based on inverse problem analysis of fractional differential equations

  Grant-in-Aid for Challenging Exploratory Research

  Kyoto University

  Yuusuke ISO

  From 01 Apr. 2016, To 31 Mar. 2019, Project Closed

  数値解析;分数階微分方程式;函数方程式;数理モデル;逆問題解析;数値計算;数理モデル化;逆問題

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16K13774/
• Mathematical Sciences aiming at medical application of light propagation in biomedical tissues and related topics

  Grant-in-Aid for Scientific Research (A)

  Kyoto University

  Yuusuke Iso

  From 01 Apr. 2016, To 31 Mar. 2021, Project Closed

  応用数学;数値解析;応用解析;医用ひかりトモグラフィー;大規模数値計算;逆問題解析;光超音波;逆問題・非適切問題解析;非適切問題解析;逆問題;ひかりトモグラフィ;数値計算;輸送方程式;生体医用工学

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16H02155/
• Improvement of MRI-based brain connectome with high-speed and high-precision denoising techniques

  Grant-in-Aid for Scientific Research (C)

  Kyoto University

  Naoya Oishi

  From 01 Apr. 2015, To 31 Mar. 2018, Project Closed

  GPGPU;ノイズ除去;コネクトーム;MRI;脳;non-local means;深層学習

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15K09920/
• New High-Accurate Numerical Methods for Inverse Problems by the Direct Computations of Integral Equations of the First Kind

  Grant-in-Aid for Scientific Research (C)

  Kyoto University

  Hiroshi Fujiwara

  From 01 Apr. 2014, To 31 Mar. 2018, Project Closed

  高精度数値計算;数値的不安定性;逆問題;非適切問題;第一種積分方程式;多倍長計算;数値解析;高精度計算

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26400198/
• Understanding of turbulent phenomena through dissipative weak solutions to fluid equations

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Takashi Sakajo

  From 01 Apr. 2014, To 31 Mar. 2018, Project Closed

  応用数学;流体力学;関数方程式論;数理物理;統計力学;乱流理論;渦力学;流体

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26287023/
• Proposal of a new governing equation of crack propagation caused by change of temperature and its analysis

  Grant-in-Aid for Challenging Exploratory Research

  Kyoto University

  Yuusuke ISO

  From 01 Apr. 2013, To 31 Mar. 2015, Project Closed

  応用数学;数理モデリング;破壊力学;数値解析;微分方程式;シミュレーション工学;シュミレーション工学

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25610031/
• Fundamental study for high-resolution diffused optical tomography based on numerical analysis and applied analysis

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Yuusuke Iso

  From 01 Apr. 2013, To 31 Mar. 2016, Project Closed

  応用数学;数理モデル;数値数学;光トモグラフィ;大規模数値計算;微分方程式;逆問題解析;数理モデリング;多倍長数値計算;DOT;数値解析

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25287028/
• High-accurate Numerical Methods for Inverse Problems on Next-generation Computing Environments

  Grant-in-Aid for Young Scientists (B)

  Kyoto University

  Hiroshi FUJIWARA

  From 01 Apr. 2011, To 31 Mar. 2014, Project Closed

  多倍長計算;正則化法;数値的不安定性;非適切問題;高精度シュミレーション;多倍長数値計算;高精度シミュレーション

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23740075/
• Estimation of modeling errors and their regularization in applied inverse problems

  Grant-in-Aid for Challenging Exploratory Research

  Kyoto University

  Yuusuke ISO

  From 01 Apr. 2011, To 31 Mar. 2013, Project Closed

  数学一般;応用数学;数値数学;数理モデル;応用解析;数値解析;逆問題解析;光トモグラフィ;逆問題;モデル化誤差;多倍長数値計算;正則化法

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23654034/
• Breakthrough in numerical analysis and numerical computation related with infinitely-precision arithmetic

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Yuusuke ISO

  From 01 Apr. 2010, To 31 Mar. 2013, Project Closed

  数学一般;応用数学;数値数学;数理モデル;応用解析;数値解析;多倍長数値計算;非適切問題解析;数値計算法;exflib;GPGPU;輸送方程式;Tricomi方程式

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22340018/
• 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

  Grant-in-Aid for Challenging Exploratory Research

  Kyoto University

  磯 祐介

  From 01 Apr. 2009, To 31 Mar. 2011, Project Closed

  数値数学;数値解析;多倍長数値計算;トモグラフィ;輸送方程式;逆問題;光トモグラフィ

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21654016/
• Numerical Analysis of Inverse Problems using High-Accurate Regularization and Next-Generation Computing Environments

  Grant-in-Aid for Young Scientists (B)

  Kyoto University

  Hiroshi FUJIWARA

  From 01 Apr. 2008, To 31 Mar. 2011, Project Closed

  多倍長計算;高精度数値計算;数値的不安定性;非適切問題;正則化法;Laplace逆変換;逆問題;Laplace実逆変換;数値解析;再生Hilbert空間;再生核Hilbert空間

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20740057/
• Development of Magnetic Resonance Elastography System to Observe Deep Inside of the Body

  Grant-in-Aid for Scientific Research (B)

  Chiba University

  Mikio SUGA

  From 01 Apr. 2008, To 31 Mar. 2011, Project Closed

  医用・生体画像;生体粘弾性率分布測定;レオメータ;MRI;MR Elastography;粘弾性率分布;磁気共鳴画像装置;elastography;MRE;加振装置;粘弾性

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20300151/
• Foundation of high accuracy computational methods on the multiple-precision computer environment and its applications to analysi of inverse problems

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Yuusuke ISO

  From 01 Apr. 2007, To 31 Mar. 2010, Project Closed

  応用数学;数値解析;多倍長数値計算;応用解析学;逆問題解析;非適切問題解析;高精度シミュレーション;逆Laplace変換;数値計算

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19340022/
• 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

  Grant-in-Aid for Exploratory Research

  Hokkaido University

  中村 玄

  From 01 Apr. 2006, To 31 Mar. 2008, Project Closed

  MRE;逆向題;弾性係数;粘性係数;乳ガン;MRE法;数値微分法;粘弾性体

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18654015/
• 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

  Grant-in-Aid for Young Scientists (B)

  Kyoto University

  藤原 宏志

  From 01 Apr. 2005, To 31 Mar. 2008, Project Closed

  逆問題;非適切問題;数値的不安定性;多倍長計算;高精度数値計算;スペクトル法;実Laplace逆変換;数値解析;シミュレーション工学;浮動小数点演算

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17740057/
• 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

  Grant-in-Aid for Exploratory Research

  Kyoto University

  磯 祐介

  From 01 Apr. 2005, To 31 Mar. 2008, Project Closed

  応用解析学;逆問題;数値解析;応用数学;光CT;多倍長数値計算;応用解数学;輸送方程式;非適切問題;スペクトル法;断層撮影法;医用CT

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17654023/
• Establishment of New Numerical Methods for Applied Inverse and Ill-Posed Problems

  Grant-in-Aid for Scientific Research (B)

  KYOTO UNIVERSITY

  Yuusuke ISO

  From 01 Apr. 2004, To 31 Mar. 2007, Project Closed

  応用数学;逆問題;非適切問題;数値解析;多倍長数値計算;高精度数値計算;スペクトル法;数値計算;多倍長計算;偏微分方程式;任意精度計算, Applied Mathematics;Inverse Problems;III-posed Problems;Numerical Analysis

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16340024/
• 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

  Grant-in-Aid for Exploratory Research

  Kyoto University

  磯 祐介

  From 01 Apr. 2003, To 31 Mar. 2005, Project Closed

  多倍長数値計算;数値解析;数値計算;逆問題;非適切問題;第一種積分方程式;正則化法;ill-posed;Tikhonov正則化法;積分方程式法;境界要素法;スペクトル法

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15654017/
• 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

  Grant-in-Aid for Challenging Research (Exploratory)

  Medium-sized Section 12:Analysis, applied mathematics, and related fields

  Kyoto University

  藤原 宏志

  From 30 Jun. 2022, To 31 Mar. 2025, Granted

  逆問題;非適切問題;楕円型方程式のCauchy問題;不安定性;スペクトル解析;特異積分方程式;連立一次方程式の条件数;非適切性;数値解析;楕円型方程式の初期値問題

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22K18674/
• Toward a global analysis on solutions of nonlinear partial differential equations

  Grant-in-Aid for Scientific Research (C)

  Basic Section 12020:Mathematical analysis-related

  Kyoto University

  西田 孝明

  From 01 Apr. 2023, To 31 Mar. 2026, Granted

  非線形偏微分方程式系;熱対流問題;圧縮性粘性熱伝導性流体方程式;Kolmogorov 流;Fermi-Pasta-Ulam 問題

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23K03165/
• 輸送方程式を軸としたトモグラフィの数理解析の新展開

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12040:Applied mathematics and statistics-related

  Kyoto University

  藤原 宏志

  From 01 Apr. 2024, To 31 Mar. 2028, Granted

  逆問題;トモグラフィ;輸送方程式;数値計算

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24K00539/
• 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

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12040:Applied mathematics and statistics-related

  Kyoto University

  磯 祐介

  From 01 Apr. 2021, To 31 Mar. 2025, Granted

  数値解析学;多倍長数値計算;逆問題・非適切問題解析;ひかりトモグラフィー;流体・弾性体方程式の解の特異性;ひかりトモグラフィ

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23K20811/

Education

Teaching subject(s)

• From 01 Apr. 2024, To 31 Mar. 2025

  Computational Science, Introduction

  8020, Year-long, Graduate School of Informatics, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Topics in Inverse Analysis B

  3335, Fall, Graduate School of Informatics, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Foundations of Numerical Computation

  N117, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Nonlinear Mathematics

  N103, Fall, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Nonlinear Mathematics

  N102, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Advanced Calculus II - Differential Equations

  N125, Fall, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Computational Science, Introduction

  M320, Year-long, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Topics in Applied Analysis I

  3361, Fall, Graduate School of Informatics, 1
• From 01 Apr. 2024, To 31 Mar. 2025

  Special study course (Mathematical Science)

  5140, Year-long, Faculty of Science, 12
• From 01 Apr. 2024, To 31 Mar. 2025

  Numerical Analysis

  8109, Fall, Faculty of Science, 2
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Applied Analysis 2

  3304, Year-long, Graduate School of Informatics, 4
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Applied Analysis 1

  3303, Year-long, Graduate School of Informatics, 4
• From 01 Apr. 2023, To 31 Mar. 2024

  Topics in Inverse Analysis A

  3334, Fall, Graduate School of Informatics, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Computational Science, Introduction

  8020, Spring, Graduate School of Informatics, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Advanced Calculus II - Differential Equations

  N125, Fall, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Foundations of Numerical Computation

  N117, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Nonlinear Mathematics

  N102, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Computational Science, Introduction

  M320, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Topics in Applied Analysis I

  3361, Fall, Graduate School of Informatics, 1
• From 01 Apr. 2023, To 31 Mar. 2024

  Numerical Analysis

  8109, Fall, Faculty of Science, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Applied Analysis 2

  3304, Year-long, Graduate School of Informatics, 4
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Applied Analysis 1

  3303, Year-long, Graduate School of Informatics, 4
• From 01 Apr. 2022, To 31 Mar. 2023

  Forefront of Mathematics and Mathematical Science I

  4138, Spring, Faculty of Science, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Topics in Inverse Analysis B

  3335, Fall, Graduate School of Informatics, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Applied Analysis 2

  3304, Year-long, Graduate School of Informatics, 4
• From 01 Apr. 2022, To 31 Mar. 2023

  Special study course (Mathematical Science)

  5140, Year-long, Faculty of Science, 12
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Applied Analysis 1

  3303, Year-long, Graduate School of Informatics, 4
• From 01 Apr. 2022, To 31 Mar. 2023

  Computational Science, Introduction

  8020, Spring, Graduate School of Informatics, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Foundations of Numerical Computation

  N117, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Topics in Inverse Analysis A

  3334, Fall, Graduate School of Informatics, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Computational Science, Introduction

  M320, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Nonlinear Mathematics

  N102, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Advanced Calculus II - Differential Equations

  N125, Fall, Institute for Liberal Arts and Sciences, 2
• From Apr. 2011, To Mar. 2012

  応用解析学セミナーⅡ

  Year-long, 情報学研究科
• From Apr. 2011, To Mar. 2012

  複雑系科学特殊研究Ⅱ

  Year-long, 情報学研究科
• From Apr. 2011, To Mar. 2012

  Calculus A

  Spring, 全学共通科目
• From Apr. 2011, To Mar. 2012

  Calculus B

  Fall, 全学共通科目
• From Apr. 2011, To Mar. 2012

  応用解析学セミナーⅠ

  Year-long, 情報学研究科
• From Apr. 2011, To Mar. 2012

  複雑系科学特殊研究Ｉ

  Year-long, 情報学研究科
• From Apr. 2011, To Mar. 2012

  微分方程式特論A

  Fall, 情報学研究科
• From Apr. 2011, To Mar. 2012

  数値解析特論

  Fall, 理学部
• From Apr. 2011, To Mar. 2012

  Foundations of Numerical Computation

  Spring, 全学共通科目
• From Apr. 2011, To Mar. 2012

  計算科学入門

  Spring, 情報学研究科
• From Apr. 2012, To Mar. 2013

  Topics in Inverse Analysis A

  Fall, 情報学研究科
• From Apr. 2012, To Mar. 2013

  Calculus A

  Spring, 全学共通科目
• From Apr. 2012, To Mar. 2013

  Calculus B

  Fall, 全学共通科目
• From Apr. 2012, To Mar. 2013

  Seminar on Applied Analysis 2

  Year-long, 情報学研究科
• From Apr. 2012, To Mar. 2013

  Seminar on Applied Analysis 1

  Year-long, 情報学研究科
• From Apr. 2012, To Mar. 2013

  Foundations of Numerical Computation

  Spring, 全学共通科目
• From Apr. 2012, To Mar. 2013

  Advanced Study in Applied Analysis and Complex Dynamical Systems1

  Year-long, 情報学研究科
• From Apr. 2012, To Mar. 2013

  Advanced Study in Applied Analysis and Complex Dynamical Systems2

  Year-long, 情報学研究科
• From Apr. 2012, To Mar. 2013

  Computational Science, Introduction

  Spring, 情報学研究科
• From Apr. 2013, To Mar. 2014

  Seminar on Applied Analysis 1

  Year-long, 情報学研究科
• From Apr. 2013, To Mar. 2014

  Topics in Inverse Analysis A

  Fall, 情報学研究科
• From Apr. 2013, To Mar. 2014

  Advanced Study in Applied Analysis and Complex Dynamical Systems1

  Year-long, 情報学研究科
• From Apr. 2013, To Mar. 2014

  Advanced Study in Applied Analysis and Complex Dynamical Systems2

  Year-long, 情報学研究科
• From Apr. 2013, To Mar. 2014

  Computational Science, Introduction

  Spring, 情報学研究科
• From Apr. 2013, To Mar. 2014

  Foundations of Numerical Computation

  Spring, 全学共通科目
• From Apr. 2013, To Mar. 2014

  Calculus A

  Spring, 全学共通科目
• From Apr. 2013, To Mar. 2014

  Calculus B

  Fall, 全学共通科目
• From Apr. 2014, To Mar. 2015

  Seminar on Applied Analysis 1

  Year-long, 情報学研究科
• From Apr. 2014, To Mar. 2015

  Applied Analysis B

  Spring, 情報学研究科
• From Apr. 2014, To Mar. 2015

  Advanced Study in Applied Analysis and Complex Dynamical Systems1

  Year-long, 情報学研究科
• From Apr. 2014, To Mar. 2015

  Advanced Study in Applied Analysis and Complex Dynamical Systems2

  Year-long, 情報学研究科
• From Apr. 2014, To Mar. 2015

  Computational Science, Introduction

  Spring, 情報学研究科
• From Apr. 2014, To Mar. 2015

  Foundations of Numerical Computation

  Spring, 全学共通科目
• From Apr. 2014, To Mar. 2015

  Basic Mathematics IA

  Spring, 全学共通科目
• From Apr. 2014, To Mar. 2015

  Basic Mathematics IB

  Fall, 全学共通科目
• From Apr. 2015, To Mar. 2016

  Seminar on Applied Analysis 1

  Year-long, 情報学研究科
• From Apr. 2015, To Mar. 2016

  Applied Analysis A

  Spring, 情報学研究科
• From Apr. 2015, To Mar. 2016

  Numerical Analysis

  Fall, 理学部
• From Apr. 2015, To Mar. 2016

  Foundations of Numerical Computation

  Spring, 全学共通科目
• From Apr. 2015, To Mar. 2016

  Basic Mathematics IA

  Spring, 全学共通科目
• From Apr. 2015, To Mar. 2016

  Basic Mathematics IB

  Fall, 全学共通科目
• From Apr. 2015, To Mar. 2016

  Advanced Study in Applied Analysis and Complex Dynamical Systems1

  Year-long, 情報学研究科
• From Apr. 2015, To Mar. 2016

  Advanced Study in Applied Analysis and Complex Dynamical Systems2

  Year-long, 情報学研究科
• From Apr. 2015, To Mar. 2016

  Computational Science, Introduction

  Spring, 情報学研究科
• From Apr. 2016, To Mar. 2017

  Advanced Calculus II - Differential Equations

  Fall, 全学共通科目
• From Apr. 2016, To Mar. 2017

  Advanced Calculus I - Vector Calculus

  Spring, 全学共通科目
• From Apr. 2016, To Mar. 2017

  Seminar on Applied Analysis 1

  Year-long, 情報学研究科
• From Apr. 2016, To Mar. 2017

  Foundations of Numerical Computation

  Spring, 全学共通科目
• From Apr. 2016, To Mar. 2017

  Topics in Mathematical Sciences

  Fall, 理学研究科
• From Apr. 2016, To Mar. 2017

  Topics in Mathematical Sciences

  Fall, 理学部
• From Apr. 2016, To Mar. 2017

  Advanced Study in Applied Analysis and Complex Dynamical Systems1

  Year-long, 情報学研究科
• From Apr. 2016, To Mar. 2017

  Advanced Study in Applied Analysis and Complex Dynamical Systems2

  Year-long, 情報学研究科
• From Apr. 2016, To Mar. 2017

  Computational Science, Introduction

  Spring, 情報学研究科
• From Apr. 2016, To Mar. 2017

  Topics in Nonlinear Analysis B

  Fall, 情報学研究科
• From Apr. 2017, To Mar. 2018

  Advanced Calculus II - Differential Equations

  Fall, 全学共通科目
• From Apr. 2017, To Mar. 2018

  Advanced Calculus I - Vector Calculus

  Spring, 全学共通科目
• From Apr. 2017, To Mar. 2018

  Seminar on Applied Analysis 1

  Year-long, 情報学研究科
• From Apr. 2017, To Mar. 2018

  Numerical Analysis

  Fall, 理学部
• From Apr. 2017, To Mar. 2018

  Foundations of Numerical Computation

  Spring, 全学共通科目
• From Apr. 2017, To Mar. 2018

  Advanced Study in Mathematical Sciences II

  Year-long, 情報学研究科
• From Apr. 2017, To Mar. 2018

  Advanced Study in Mathematical Sciences I

  Year-long, 情報学研究科
• From Apr. 2017, To Mar. 2018

  Computational Science, Introduction

  Spring, 情報学研究科
• From Apr. 2018, To Mar. 2019

  Topics in Inverse Analysis B

  Fall, 情報学研究科
• From Apr. 2018, To Mar. 2019

  Advanced Calculus II - Differential Equations

  Fall, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Seminar on Applied Analysis 2

  Year-long, 情報学研究科
• From Apr. 2018, To Mar. 2019

  Seminar on Applied Analysis 1

  Year-long, 情報学研究科
• From Apr. 2018, To Mar. 2019

  Numerical Analysis

  Fall, 理学部
• From Apr. 2018, To Mar. 2019

  Foundations of Numerical Computation

  Spring, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Computational Science, Introduction

  Spring, 全学共通科目
• From Apr. 2018, To Mar. 2019

  Computational Science, Introduction

  Spring, 情報学研究科
• From Apr. 2018, To Mar. 2019

  Nonlinear Mathematics

  Spring, 全学共通科目
• From Apr. 2019, To Mar. 2020

  Topics in Inverse Analysis A

  Fall, 情報学研究科
• From Apr. 2019, To Mar. 2020

  Advanced Calculus II - Differential Equations

  Fall, 全学共通科目
• From Apr. 2019, To Mar. 2020

  Applied Mathematical Sciences A

  Spring, 情報学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Applied Analysis 2

  Year-long, 情報学研究科
• From Apr. 2019, To Mar. 2020

  Seminar on Applied Analysis 1

  Year-long, 情報学研究科
• From Apr. 2019, To Mar. 2020

  Numerical Analysis

  Fall, 理学部
• From Apr. 2019, To Mar. 2020

  Foundations of Numerical Computation

  Spring, 全学共通科目
• From Apr. 2019, To Mar. 2020

  Computational Science, Introduction

  Spring, 全学共通科目
• From Apr. 2019, To Mar. 2020

  Computational Science, Introduction

  Spring, 情報学研究科
• From Apr. 2019, To Mar. 2020

  Nonlinear Mathematics

  Spring, 全学共通科目
• From Apr. 2020, To Mar. 2021

  Topics in Inverse Analysis B

  Fall, 情報学研究科
• From Apr. 2020, To Mar. 2021

  Advanced Calculus II - Differential Equations

  Fall, 全学共通科目
• From Apr. 2020, To Mar. 2021

  Seminar on Applied Analysis 1

  Year-long, 情報学研究科
• From Apr. 2020, To Mar. 2021

  Seminar on Applied Analysis 2

  Year-long, 情報学研究科
• From Apr. 2020, To Mar. 2021

  Numerical Analysis

  Fall, 理学部
• From Apr. 2020, To Mar. 2021

  Foundations of Numerical Computation

  Spring, 全学共通科目
• From Apr. 2020, To Mar. 2021

  Computational Science, Introduction

  Spring, 全学共通科目
• From Apr. 2020, To Mar. 2021

  Computational Science, Introduction

  Spring, 情報学研究科
• From Apr. 2020, To Mar. 2021

  Nonlinear Mathematics

  Spring, 全学共通科目
• From Apr. 2021, To Mar. 2022

  Topics in Inverse Analysis A

  Fall, 情報学研究科
• From Apr. 2021, To Mar. 2022

  Advanced Calculus II - Differential Equations

  Fall, 全学共通科目
• From Apr. 2021, To Mar. 2022

  Seminar on Applied Analysis 1

  Year-long, 情報学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Applied Analysis 2

  Year-long, 情報学研究科
• From Apr. 2021, To Mar. 2022

  Numerical Analysis

  Fall, 理学部
• From Apr. 2021, To Mar. 2022

  Foundations of Numerical Computation

  Spring, 全学共通科目
• From Apr. 2021, To Mar. 2022

  Forefront of Mathematics and Mathematical Science I

  Spring, 理学部
• From Apr. 2021, To Mar. 2022

  Graduate Lecture in Mathematical Sciences

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Topics in Mathematical Sciences

  Fall, 理学部
• From Apr. 2021, To Mar. 2022

  Computational Science, Introduction

  Spring, 全学共通科目
• From Apr. 2021, To Mar. 2022

  Computational Science, Introduction

  Spring, 情報学研究科
• From Apr. 2021, To Mar. 2022

  Nonlinear Mathematics

  Spring, 全学共通科目

Participation in PhD Defense

• Study on acceleration of the method of moments for electromagnetic wave scattering problems with the characteristic basis function method and Calderon preconditioning

  TANAKA TAI, Graduate School of Informatics, Sub-chief Examiner

  23 Mar. 2023
• GPU Computing Aiming at Vortex Filament Evolution

  LEE, YU-HSUN, Graduate School of Informatics, Chief Examiner

  24 Sep. 2021

Administration

Faculty management (title, position)

• From 01 Apr. 2023, To 31 Mar. 2025

  評価・広報委員会委員
• From 01 Apr. 2022, To 31 Mar. 2024

  学術情報メディアセンター　スーパーコンピュータシステム共同研究企画委員会　委員
• From 01 Apr. 2016, To 31 Mar. 2017

  広報ＷＧ委員
• From 01 Apr. 2017, To 31 Mar. 2018

  情報セキュリティ作業委員会委員
• From 01 Apr. 2017, To 31 Mar. 2018

  計算機小委員会
• From 01 Apr. 2018, To 31 Mar. 2019

  情報セキュリティ作業委員会委員
• From 01 Apr. 2018, To 31 Mar. 2019

  計算機小委員会委員
• From 01 Apr. 2020, To 31 Mar. 2023

  評価・広報委員会委員
• From 01 Apr. 2020, To 31 Mar. 2021

  広報WG 委員長

Academic, Social Contribution

Committee Memberships

• From May 2021, To Present

  委員, 日本工学会 理論応用力学コンソーシアム
• From Oct. 2020, To Present

  校閲委員, 日本計算数理工学会
• From Apr. 2020, To Present

  編集委員, 日本応用数理学会論文誌
• From Jul. 2017, To Present

  Associate Editor, Journal of Computational Mathematics
• From Apr. 2016, To Present

  理事, 日本計算数理工学会
• From Nov. 2016, To Mar. 2022

  生体ひかりイメージング技術と応用第185委員会委員, 日本学術振興会 産学協力研究委員会
• From Jan. 2019, To Dec. 2020

  Secretary, East Asia Secion of SIAM
• From Oct. 2017, To Sep. 2019

  応用数学分科会委員, 日本数学会