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