FUJIWARA, Hiroshi

Associate Professor,  Graduate School of Informatics,  Kyoto University

E-mail:  fujiwara (at mark) acs.i.kyoto-u.ac.jp

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Papers in refereed journals

63.     H.Fujiwara, D.Omogbhe, K.Sadiq, and A.Tamasan
Inversion of the attenuated momenta ray transform of planar symmetric tensors
Inverse Problems Vol.40, no. 7 (2024) 075004 (33pp). DOI: 10.1088/1361-6420/ad49cc(ISSN 1361-6420(online), 0266-5611(print))

62.     H.Fujiwara and T.Nishida
Heat convection in the horizontal layer with non-uniform heat supply
Jpn. J. Ind. Appl. Math., vol 41 (3) (September, 2024) pp.1373--1387. DOI: 10.1007/s13160-024-00655-5 (ISSN 0916-7005, Electronic ISSN 1868-937X)

61.     H.Fujiwara, K.Sadiq, and A.Tamasan
The algebraic range of the planar X-ray transform of symmetric tensors and applications to noise reduction
Practical inverse problems and their prospects, Mathematics for Industry vol 37 (2023) pp.47--68. DOI: 10.1007/978-981-99-2408-0_4 (ISBN 978-981-99-2407-3, Series ISSN 2198-350X)

60.     I.-K.Chen, H.Fujiwara, and D.Kawagoe
Tomography from scattered signals obeying the stationary radiative transport equation
Practical inverse problems and their prospects, Mathematics for Industry vol 37 (2023) pp.27--46. DOI: 10.1007/978-981-99-2408-0_3 (ISBN 978-981-99-2407-3, Series ISSN 2198-350X)

59.     H. Fujiwara, K. Sadiq, and A. Tamasan,
Numerical reconstruction of radiative sources from partial boundary measurements
SIAM J. Imaging Sci. vol 16 (2) (2023) pp.948--968. DOI: 10.1137/22M1507449(ISSN 1936-4954)

58.     H.Fujiwara, K.Sadiq, and A.Tamasan
Partial inversion of the 2D attenuated x-ray transform with data on an arc
Inverse Probl. Imaging Vol.16 (1) (2022) pp.215--228. DOI: 10.3934/ipi.2021047(ISSN 1930-8337) article

57.     LEE, Yu-Hsun, H. Fujiwara
Web-based Visualization Framework on FreeFEM,
Trans. Japan Society for Computational Methods in Engineering Vol.21 (2021) pp.57--62.

56.     H. Fujiwara, N. Oishi, K. Sadiq, and A. Tamasan
Numerical Computation of X-ray Computerized Tomography for Partial Measurement (in Japanese),
Trans. Japan Society for Computational Methods in Engineering Vol.21 (2021) pp.37--43.

55.     Mana Kato, H. Fujiwara and Hitoshi Imai
Numerical regularity map for simple one-dimensional fractional differential equations with Hölder continuous solutions,
Adv. Math. Sci. Appl. vol 30 (No 2) (2021) pp.499--506. (ISSN 1343-4373)

54.     H.Fujiwara, K.Sadiq, and A.Tamasan
A source reconstruction method in two dimensional radiative transport using boundary data measured on an arc
Inverse Problems Vol.37, no. 11 (2021) 115005 (19pp). DOI: 10.1088/1361-6420/ac2d75(ISSN 1361-6420(online), 0266-5611(print))

53.     Tasuku Takeda, H. Fujiwara, and Mikio Suga
Development of three-dimensional integral type reconstruction formula for magnetic resonance elastography
International Journal of Computer Assisted Radiology and Surgery (IJCARS) Vol.16 (2021 Oct.25th) pp.1947--1956. DOI: 10.1007/s11548-021-02517-8(ISSN 1861-6429)

52.     Y.-H.Lee and H.Fujiwara
Multiple-precision arithmetic of Biot-Savart integral for reconnections of vortex filaments
Gervasi O. et al. (eds) Computational Science and Its Applications -- ICCSA 2021, LNCS 12953 (Lecture Notes on Computational Sciences) (2021) pp.191--201. DOI: 10.1007/978-3-030-86976-2_13, paper

51.     H. Fujiwara,N. Oishi
Regularization of X-ray Computerized Tomography by the Cauchy-type Boundary Integral Formula (in Japanese),
Trans. Japan Society for Computational Methods in Engineering Vol.20 (2020) pp.75--79.

50.     H. Fujiwara
Piecewise Constant Upwind Approximations to the Stationary Radiative Transport Equation,
Mathematical Analysis of Continuum Mechanics and Industrial Applications III (Proceedings of the International Conference CoMFoS18, Eds: Hiromichi Itou, Shiro Hirano, Masato Kimura, Victor A. Kovtunenko, Alexandr M. Khludnev) (2020) pp.35--45. (ISBN Hardcover:978-981-15-6061-3, eBook:978-981-15-6062-0), DOI: 10.1007/978-981-15-6062-0_3, Part of the Mathematics for Industry book series (MFI, volume 34)

49.     H.Fujiwara, K.Sadiq, and A.Tamasan
Numerical reconstruction of radiative sources in an absorbing and non-diffusing scattering medium in two dimensions,
SIAM J. Imaging Sci. vol 13 (1) (2020) pp.535--555. DOI: 10.1137/19M1282921(ISSN 1936-4954)

48.     H. Fujiwara, K. Sadiq, and A. Tamasan,
A Fourier Approach to the Inverse Source Problem in an Absorbing and Anisotropic Scattering Medium,
Inverse Problems vol. 36, No. 1 (2020) 015005 (33pp). DOI: 10.1088/1361-6420/ab4d98 (ISSN: 1361-6420 (online), 0266-5611 (print)).

47.     H. Fujiwara and Alexandru Tamasan,
Numerical Realization of a New Generation Tomography Algorithm Based on the Cauchy-type Integral Formula,
Adv. Math. Sci. Appl. vol 28 (2) (2019) pp.413--424. (ISSN 1343-4373)

46.     H. Fujiwara,A. Tamasan,
Meshless X-ray Computerized Tomography by the Cauchy-type Integral Formula (in Japanese),
Trans. Japan Society for Computational Methods in Engineering Vol.19 (2019) pp.1--6.

45.     H. Fujiwara
Design and Implementation of Multiple-Precision Arithmetic Environment in MATLAB for Reliable Numerical Computations,
Jpn. J. Ind. Appl. Math. vol 36(3) (September, 2019) pp.1089--1100. ISSN 0916-7005 (Print) 1868-937X (Online), DOI: 10.1007/s13160-019-00385-z.

44.     H. Fujiwara, N. Higashimori, and H. Imai,
Numerical experiments on analyticity of solutions to fractional differential equations,
Adv. Math. Sci. Appl. 27(1) (2018) pp.169--180. (ISSN 1343-4373)

43.     N. Higashimori and H. Fujiwara, and Y. Iso,
Convergence of finite difference schemes applied to the Cauchy problems of quasi-linear partial differential equations of the normal form,
Advances in Difference Equations and Discrete Dynamical Systems, (Eds. Elaydi, S., Hamaya, Y., Matsunaga, H., Peotzsche, C.), Springer Proceedings in Mathematics & Statistics, 2017, pp.113--124. DOI 10.1007/978-981-10-6409-8_6  article  pdf

42.     H. Fujiwara and N. Oishi,
Direct Numerical Computation of the Stationary Radiative Transport Equation on Modern Parallel Architectures, Proceedings of the 2017 16th International Symposium on Distributed Computing and Applications to Business, Engineering and Science (DCABES 2017), pp.29--32. DOI 10.1109/DCABES.2017.62

41.     N. Higashimori and H. Fujiwara,
Semi-discrete finite difference schemes for the nonlinear Cauchy problems of the normal form, Proc. Japan Acad., 93(9) Ser. A, (2017 Nov.), pp.99--104. DOI 10.3792/pjaa.93.99   article  pdf

40.     Urume R, Suga M, Maekawa S, Fujiwara H,
Development of Local Integral Type Reconstruction Formula for Magnetic Resonance Elastography, Proceedings of the International Forum on Medical Imaging in Asia (2017), pp.60--62 (2017.1@Tenbusu Naha, Okinawa, Japan)

39.     H. Fujiwara,
Piecewise constant approximation with respect to velocity of the stationary radiative transport equation (in Japanese),
Trans. Japan Society for Computational Methods in Engineering Vol.16 (2016) pp.91--96.

38.     H. Fujiwara and S. Saitoh,
The general sampling theory by using reproducing kernels,
Contributions in Mathematics and Engineering - In Honor of Constantin Caratheodory, (Eds. Pardalos, Panos M., Rassias, Themistocles M), Springer, 2016, 185--204. article

37.     H. Fujiwara,
A Study on large scale parallel computation of the radiative transport equation with memory access analysis (in Japanese),
Trans. Japan Society for Computational Methods in Engineering Vol.15 (2015) pp.61--66. article

36.     D.~Tanaka, H.~Fujiwara, T.~Nishida and Y.~Iso,
Stability of the CIP scheme applied to linear advection equations (in Japanese),
Transactions of the Japan Society for Industrial and Applied Mathematics, Vol.25 No.2 (2015) pp.91--104.

35.     H. Fujiwara and N. Higashimori,
Numerical Real Inversion of the Laplace Transform by Using Multiple-Precision Arithmetic,
Lib. Math. (N.S.) Vol.34 No.2 (2014) pp.5--21. abstract doi: 10.14510%2Flm-ns.v34i2.1296

34.     L. P. Castro, H. Fujiwara, M. M. Rodrigues, S. Saitoh and V. K. Tuan,
Aveiro Discretization Method in Mathematics: A New Discretization Principle,
Mathematics Without Boundaries; Surveys in Pure Mathematics, (Eds. Pardalos, Panos M., Rassias, Themistocles M), Springer, 2014, pp.37--92.

33.     L. P. Castro, H. Fujiwara, T.Qian, and S.Saitoh,
How to catch smoothing properties and analyticity of functions by computers?
Mathematics Without Boundaries; Surveys in Interdisciplinary Research, (Eds. Pardalos, Panos M., Rassias, Themistocles M), Springer, 2014, pp.101--116.

32.     K.~Abe, N.~Higashimori, M.~Kubo, H.~Fujiwara and Y.~Iso,
A remark on the Courant-Friedrichs-Lewy condition,
Transaction of the Japan Socity for Industrial and Applied Mathematics, Vol.24 No.1 (2014) pp.15--26.

31.     K. Abe, N. Higashimori, M. Kubo, H. Fujiwara and Y. Iso,
A Remark on the Courant-Friedrichs-Lewy Condition in Finite Difference Approach to PDE's
Adv Appl. Math. Mech. Vol.6 (2014) pp.693-698 abstract doi: 10.4208/aamm.2014.5.s6  Cambridge Core

30.     H. Fujiwara, M. M. Rodriguess, S. Saitoh, and V. K. Tuan,
A New Discretization Principle
International Journal of Mathematics and Computation 22 Issue Number 1 (2014) pp.75-88 article

29.     H. Fujiwara,
A fast algorithm for the three-dimensional stationary radiative transport equation by approximating the scattering phase function (in Japanese),
Trans. Japan Society for Computational Methods in Engineering Vol.13 (2013) pp.13-18

28.     L. P. Castro, H. Fujiwara, M. M. Rodriguess, and S. Saitoh,
A new discretization method by means of reproducing kernels
Interactions between real and complex analysis (Edited by Le Hung Son and Wolgang Tutscheke) Sci. and Tech. Publication House (2012) pp.185-223.

27.     H. Fujiwara,
Numerical challenges to the three dimensional stationary radiative transport equation (in Japanese),
Trans. Japan Society for Computational Methods in Engineering Vol.12 (2012) pp.43-48

26.     Luis P. Castro,H. Fujiwara,Saburou Saitoh,Yoshihiro Sawano, Akira Yamada, and Masato Yamada,
Fundamental Error Estimate Inequalities for the Tikhonov Regularization Using Reproducing Kernels
International Series of Numerical Mathematics, (Inequalities and Applications 2010) 161 (2012) pp.87-101 article article

25.     H. Fujiwara,
High-accurate computation with multiple-precision arithmetic (in Japanese),
Trans. Japan Society for Computational Methods in Engineering Vol.11 (2011) pp.13-18

24.     S.~Manabe and H.~Fujiwara,
Acceleration of numerical computation of the complex inverse Laplace transform using a multiple precision system on GPU,
Trans. Japan Society for Computational Methods in Engineering Vol.11 (2011) pp.31-34

23.     Yu Jiang, H. Fujiwara, and Gen Nakamura,
Approximate Steady State Models for Magnetic Resonance Elastography,
SIAM J. on Applied Mathematics, Vol.71 (2011) pp.1965-1989. article

22.     H. Fujiwara,
Remarks on numerical computations of the complex inverse Laplace transform (in Japanese),
Trans. Japan Society for Computational Methods in Engineering Vol.10 (2010) pp.7-10.

21.     H.Fujiwara,
Numerical Real Inversion of the Laplace Transform by Reproducing Kernel and Multiple-Precision Arithmetic,
PROGRESS IN ANALYSIS AND ITS APPLICATIONS --- Proceedings of the 7th International ISAAC Congress (2010, Aug) pp.289-295. (ISBN 978-981-4313-16-2) doi:10.1142/9789814313179_0038

20.     H.Fujiwara, T.Matsuura, S.Saitoh, and Y.Sawano,
Numerical real inversion of the Laplace transform by using a high-accuracy numerical method,
FURTHER PROGRESS IN ANALYSIS --- Proceedings of the 6th International ISAAC Congress (2009, Jan) pp.574-583. (ISBN 978-981-283-732-5)

19.     Kotoba NISHIDA, Hiroshi FUJIWARA, Yuusuke ISO,
Finite Difference Approximation of Ill-Posed Cauchy Problems,
Theoretical and Applied Mechanics Japan 57 (2009) pp.405-410.

18.     M. Suga, H. Miura, H. Fujiwara, T. Yamamoto, T. Tanaka, Q. YU, K. Arai, J. P. Gong, G. Nakamura, H. Ikehira, and T. Obata,
Inversion Algorithm by Integral Type Reconstruction Formula for Magnetic Resonance Elastography,
Proceedings of International Society for Magnetic Resonance in Medicine (2009) p.2506. 論文

17.     H. Fujiwara,
Multiple-precision parallel direct solvers for unstable linear problems (in Japanese),
Trans. Japan Society for Computational Methods in Engineering Vol.8 (2008) pp.49-52.

16.     Y. Sawano, H. Fujiwara and S. Saitoh,
Real inversion formulas of the Laplace transform on weighted function spaces,
Complex Anal. Oper. Theory Vol.2, Number 3 (April, 2008) pp.511-521. (ISSN: 1661-8254 (Print) 1661-8262 (Online))

15.     H. Fujiwara, T. Matsuura, S. Saitoh and Y. Sawano,
Real inversion of the Laplace transform in numerical singular value decomposition,
J. Anal. Appl. Volume 6, Number 1 (March, 2008) pp.55-68. (ISSN: 0972-5954)

14.     H. Fujiwara, Hitoshi Imai, Toshiki Takeuchi, and Yuusuke Iso
Numerical treatment of analytic continuation on multiple-precision arithmetic,
Hokkaido Math. J., Vol.36, No.4 (November, 2007) pp.837-847.

13.     T. Matsuura, A. Al-Shuaibi, H. Fujiwara, S. Saitoh and M. Sugihara
Numerical real inversion formulas of the Laplace transform by using the sinc functions,
Far East Journal of Mathematical Science, Vol.27, Issue 1 (Oct. 2007) pp.1-14. article.

12.     H. Fujiwara and Yuusuke Iso,
Application of multiple-precision arithmetic to direct numerical computation of inverse acoustic scattering,
Journal of Physics, Conference Series, Volume 73 (2007) Online Version, Article No.012007

11.     Matsuura, T, Al-Shuaibi, Abdulaziz, Fujiwara H, Saitoh, S.,
Numerical real inversion formulas of the Laplace transform by using a Fredholm integral equation of the second kind,
J. Anal. Appl. Vol.5 (2007), no.2, 123-136. MathSciNet

10.     H. Fujiwara,
Design of a multiple-precision arithmetic environment for scientific numerical computation and direct computations of numerically unstable schemes (in Japanese),
Trans.\ Inform.\ Process.\ Soc.\ Japan : Computing System Vol.48 No.SIG 8(ACS18) (2007), pp.22-30

9.       H.~Fujiwara and Y.~Iso,
New multiple-precision arithmetic environment and its application to numerical computations (in Japanese),
Transactions of the Japan Society for Industrial and Applied Mathematics,
Vol.15, No.3 (2005) pp.403-417.

8.       H.~Fujiwara, H.~Imai, T.~Takeuchi and Y.~Iso,
High-precision numerical computation of integral equations of the first kind (in Japanese),
Transactions of the Japan Society for Industrial and Applied Mathematics Vol.15, No.3 (2005) pp.419-434.

7.       H.~Fujiwara and Y.~Iso,
Design of a multiple-precision arithmetic package for a 64-bit computing environment and its application to numerical computation of ill-posed problems (in Japanese),
Trans.\ Inform.\ Process.\ Soc.\ Japan,
44(3) (2003) pp.925-931. MathSciNet

6.       Hiroshi FUJIWARA,
Numerical method for integral equation of the first kind under multiple-precision arithmetic,
Theoretical and Applied Mechanics Japan 52 (2003) pp.193-203. J-STAGE

5.       H.~Fujiwara and Y.~Iso,
Implementation of multiple-precision arithmetic on 64bit computing (in Japanese),
Trans. Japan Society for Computational Methods in Engineering, 2 (2002), pp.31-34. article

4.       Y.~Iso and H.~Fujiwara,
Numerical analysis for ill-posed problems by multiple-precision arithmetic (in Japanese),
Trans. Japan Society for Computational Methods in Engineering, 2 (2002), pp.35-38. article

3.       Hiroshi FUJIWARA, Yuusuke ISO,
Some remarks on the choice of regularization parameters under multiple-precision arithmetic,
Theoretical and Applied Mechanics Japan 51 (2002) pp.387-393.
(ISBN 4-89483-014-0, ISSN 0285-6042) J-STAGE

2.       Yuusuke Iso, H. Fujiwara and Kimihiro Saito,
Numerical computations for ill-conditioned problems by multiple-precision systems,
Mathematical Modeling and Numerical Simulation in Continuum Mechanics, Springer, Berlin, 2002 pp.185-194.
(ISSN 1439-7358, ISBN 3-540-42399-0) MathSciNet

1.       FUJIWARA Hiroshi, ISO Yuusuke,
Numerical challenge to ill-posed problems by fast multiple-precision system,
Theoretical and Applied Mechanics Japan 50 (2001) pp.419-424.
(ISBN 4-89483-009-4, ISSN 0285-6042) J-STAGE


Invited Talk (International Conferences/Workshops)

14.       H. Fujiwara
Numerical feasibility of optical tomography by the stationary radiative transport equation
2024 Japan-Taiwan Joint Workshop on Numerical Analysis and Inverse Problems
Date : March 9 (Sat.), 2024
Venue : Kyoto University

13.       H. Fujiwara
On numerical analysis of x-ray computerized tomography with partial measurement
NCTS-Kyoto Mathematics Symposium
Date : December 9 (Sat.), 2023
Venue : Cosmology Bldg., National Center for Theoretical Sciences, National Taiwan University

12.       H. Fujiwara
On feasibility of numerical reconstruction of the attenuation coefficient in the stationary radiative transport equation
Practical Inverse Problems and Their Prospects (Japanese)
日時 : 2022, March 2
Venue : Online

11.       H.Fujiwara
An Efficient Numerical Scheme for Near-Infrared Light Propagation in Turbid Media
IUTAM symposium computational methods for large-scale and complex wave problems
Date : June 25(Fri), 2021
Venue : Online (hosted by Tokyo Institute of Technology)

10.       H.Fujiwara
Numerical Computation of the 2D Stationary Radiative Transport Equation on Graded Meshes
Japan-Taiwan Joint Workshop on Scientific Computing and Related Topics
Date : 2018, 25th Nov. (Sun)
Venue : Lecture Room 202, Astro-Math Building, National Taiwan University

9.       H. Fujiwara
Multiple-Precision Arithmetic on MATLAB and Related Software for Reliable Computations
CJK Conference 2018
Date : August 21, 2018
Venue : Shiinoki Cultural Complex

8.       H. Fujiwara
Finite Volume Method for Photon Propagation in Biomedical Tissue
CoMFoS18
Date : June 15, 2018
Venue : Kyoto University

7.       FUJIWARA,Hiroshi
Direct treatment of numerical instability of inverse Laplace transforms using multiple-precision arithmetic,
Laplace Transform Methods and Their Applications
Date : 2011, Nov. 4
Venue: National Institute for Mathematical Science, Daejeon, Korea

6.       FUJIWARA, Hiroshi,
High-Accurate Computation of One-Loop Integrals by Several Hundred Digits Multiple-Precision Arithmetic,
3rd Computational Particle Physics Workshop
Date: Sep 23-25, 2010
Venue: KEK (High-Energy Accelerator Research Organization), Tsukuba

5.       FUJIWARA, Hiroshi,
Numerical Real Inversion of the Laplace Transform by Reproducing Kernel and Multiple-Precision Arithmetic (Distinguished session talk)
7th ISAAC Congress
Date: July 13-18, 2009
Venue: Imperial College London

4.       FUJIWARA, Hiroshi,
Multiple-Precision Arithmetic and its Application to Numerically Unstable Problems with Regularization Methods,
The International Conference on Inverse Problems and its Applications, Dedicate to Prof. V. Isakov and Prof. G. Nakamura’s 60th birthday
Date: Oct 9-12, 2008, Venue: Fudan University, Shanghai, China

3.       FUJIWARA, Hiroshi,
High-Accurate Numerical Computation with Multiple-precision Arithmetic and Spectral Method,
The First China-Japan-Korea Joint Conference on Numerical Mathematics,
Date: Aug. 3 - Aug. 6, 2006, Venue: Sapporo Convention Center

2.       FUJIWARA, Hiroshi,
Numerical Computation of Ill-Posed Problems by Spectral Element Method,
The 3rd International Conference on Inverse Problems,
Date: July 3 (Mon.) - July 7 (Fri.), 2006, Venue: Conference Hall, Hokkaido University

1.       FUJIWARA, Hiroshi,
Multiple-Precision Arithmetic for the ill-posed problems,
International Conference on Inverse Problems - Recent Development in Theories and Numerics -
Date: , January 9-12, 2002, Venue: City University of Hong Kong