Tokushima University / Educator and Researcher Directory --- Sakaguchi, Hideo

Field of Study

○	Applied Mathematics

Subject of Study

○	パターン形成に関する解析, 数値計算手法の研究 (パターン形成, 数理モデル, 反応拡散方程式系, 並列計算, 数値解析)

Book / Paper

Academic Paper (Judged Full Paper):

1.	DATTA Chandra Krishna, Hitoshi Imai and Hideo Sakaguchi : On numerical challenge for the distinction between smooth functions and analytic functions, Theoretical and Applied Mechanics Japan, Vol.62, 107-117, 2013. (Summary) In the paper, we present numerical experiments for investigation of a property of functions.Especially, we focus on the smoothness.Two kinds of methods are used in numerical experiments.One is the interpolation and the other is the Cauchy problem for the Laplace operator.Numerical experiments are performed by using the spectral collocation method and a multiple-precision arithmetic.Numerical results show the possibility of the numerical computation for the distinction between smooth functions and analytic functions. (Link to Publication Site) ● Publication site (DOI): 10.11345/nctam.62.107 (Link to Search Site for Scientific Articles) ● CiNii @ National Institute of Informatics (CRID): 1390001205210094336 ● Summary page in Scopus @ Elsevier: 2-s2.0-84902168117 (DOI: 10.11345/nctam.62.107, CiNii: 1390001205210094336, Elsevier: Scopus)
2.	Azjargal Enkhbayar, Hitoshi Imai and Hideo Sakaguchi : ON NUMERICAL COMPUTATION OF RANK DEFICIT OF MATRICES IN MULTIPLE PRECISION, Advances in Mathematical Sciences and Applications, Vol.23, No.2, 477-486, 2013.
3.	Hitoshi Imai and Hideo Sakaguchi : Numerical Simulation on Local Solutions Partial Differential Equations, Theoretical and Applied Mechanics Japan, Vol.61, 185-193, 2012. (Summary) We present a simple numerical simulation on local solutions of partial differential equations. It is enabled by using IPNS(Infinite-Precision Numerical Simulation). The equation solved here is the Laplace equation. The behaviors of numerical solutions are different corresponding to the existence or nonexistence of the solution. The numerical method used here is not restricted to the Laplace equation. So, our results may be useful for the theoretical proof on the existence or nonexistence of the solution of partial differential equations. (Link to Publication Site) ● Publication site (DOI): 10.11345/nctam.61.185 (Link to Search Site for Scientific Articles) ● CiNii @ National Institute of Informatics (CRID): 1390001205211673344 ● Summary page in Scopus @ Elsevier: 2-s2.0-84878324005 (DOI: 10.11345/nctam.61.185, CiNii: 1390001205211673344, Elsevier: Scopus)
4.	Hitoshi Imai, Hideo Sakaguchi and Yusuke Iso : NUMERICAL SIMULATION ON NON-EXISTENCE AND NON-UNIQUENESS OF SOLUTIONS FOR THE TRICOMI EQUATION, GAKUTO International Series, Mathematical Sciences and Applications, Vol.34, 39-58, 2011.
5.	Hitoshi Imai, Hideo Sakaguchi and Yuusuke Iso : Simple Numerical Judgement on the Singularity of the Matrix by Using the Multiple-Precision Arithmetic, Theoretical and Applied Mechanics Japan, Vol.60, 343-351, 2011. (Link to Publication Site) ● Publication site (DOI): 10.11345/nctam.60.343 (Link to Search Site for Scientific Articles) ● Summary page in Scopus @ Elsevier: 2-s2.0-84863460781 (DOI: 10.11345/nctam.60.343, Elsevier: Scopus)
6.	Hitoshi Imai, Hideo Sakaguchi and 磯祐介 : On Numerical Computation of the Toricomi Equation, Theoretical and Applied Mechanics Japan, Vol.59, 359-372, 2010. (Summary) The Tricomi equation is solved numerically. Boundary value problems (BVPs) and ill-posed Cauchy problems (CPs) are considered. Problems are discretized by using the finite difference method (FDM) or the spectral collocation method (SCM). The numerical computation is carried out in the multiple-precision arithmetic. For BVPs both FDM and SCM work well. When the exact solution is a part of a global and analytic function accuracy of numerical results are expectable. They show that the maximum principle does not hold here. Some other BVPs are solved and numerical results are satisfactory. For CPs SCM works well but FDM does not. When the exact solution is a part of a global and analytic function accuracy of numerical results by SCM is expectable. Some other CPs are solved by SCM. Numerical results suggest that there exist some delicate problems as nonexsistence of the solution. They also show the effectiveness of SCM with the multiple-precision arithmetic in the numerical simulation for delicate problems. (Link to Publication Site) ● Publication site (DOI): 10.11345/nctam.59.359 (Link to Search Site for Scientific Articles) ● CiNii @ National Institute of Informatics (CRID): 1390282680186072064 ● Summary page in Scopus @ Elsevier: 2-s2.0-80054754780 (DOI: 10.11345/nctam.59.359, CiNii: 1390282680186072064, Elsevier: Scopus)
7.	Hitoshi Imai, Hideo Sakaguchi and Toshiki Takeuchi : Numerical Computation of Continuation Problems in the Annular Domain, Theoretical and Applied Mechanics Japan, Vol.58, 153-164, 2009. (Link to Publication Site) ● Publication site (DOI): 10.11345/nctam.58.153 (Link to Search Site for Scientific Articles) ● Summary page in Scopus @ Elsevier: 2-s2.0-77956740853 (DOI: 10.11345/nctam.58.153, Elsevier: Scopus)
8.	Hideo Sakaguchi, Hitoshi Imai and Toshiki Takeuchi : PARALLEL COMPUTING OF INTERVAL ARITHMETIC IN MULTIPLE PRECISION FOR SIMULTANEOUS LINEAR EQUATIONS, GAKUTO International Series, Mathematical Sciences and Applications, Vol.28, 165-172, 2008. (Summary) 本論文は，離散化手法であるスペクトル選点法の先端的な応用例をいくつか紹介した．その中でも，特に，直接的な数値計算ができない例として辞典などでとりあげられているFredholm型の積分方程式に対して，スペクトル選点法用いた直接的数値計算法を提案した．実際の数値計算では，多倍長演算を併用して，直接的な数値計算が確かにできていることを示した．スペクトル選点法は任意次数の離散化手法であり，これと多倍長演算を併用する手法は，我々が番号42の論文で名付けた「無限精度数値シミュレーション」そのものである．すなわち，無限精度数値シミュレーションによって，いままで不可能と思われてきたFredholm型の積分方程式の直接数値計算を可能にした．
9.	Hitoshi Imai and Hideo Sakaguchi : Numerical Computation on Continuation of the Solution for the One-Dimensional Heat Equation, 日本応用数理学会論文誌, Vol.17, No.4, 481-493, 2007. (Summary) We consider a problem governed by the simple one-dimensional heat equation. In our problem two parameters are introduced. One is for the determination of the initial boundary value problem, the continuation problem or the initial value problem. Another one is for analiticity. Numerical simulations are carried out by using two different numerical methods(FDM&oplus;EE and IPNS). Numerical results are interesting as follows: Both methods give similar results converging to the smooth solution for the initial value problem which has non-uniqueness of the solution. Moreover, both methods give different results for the continuation problem. (Link to Search Site for Scientific Articles) ● CiNii @ National Institute of Informatics (CRID): 1390282680744519808 (CiNii: 1390282680744519808)
10.	Zhenyu JIN, Hideo Sakaguchi, Naoyuki Ishimura and Hitoshi Imai : Global in Space Simulation for the Black-Scholes Equation Incorporating Transaction Costs, Theoretical and Applied Mechanics Japan, Vol.56, 445-450, 2007. (Link to Publication Site) ● Publication site (DOI): 10.11345/nctam.56.445 (Link to Search Site for Scientific Articles) ● Search Scopus @ Elsevier (DOI): 10.11345/nctam.56.445 (DOI: 10.11345/nctam.56.445)
11.	Hitoshi Imai and Hideo Sakaguchi : Numerical Computation on Analyticity of the Solution of a Cauchy Problem for the Backward Heat Equation, Theoretical and Applied Mechanics Japan, Vol.56, 291-300, 2007. (Link to Publication Site) ● Publication site (DOI): 10.11345/nctam.56.291 (Link to Search Site for Scientific Articles) ● Search Scopus @ Elsevier (DOI): 10.11345/nctam.56.291 (DOI: 10.11345/nctam.56.291)
12.	Toshiki Takeuchi, Hitoshi Imai and Hideo Sakaguchi : Global Simulation of a Backward Heat Conduction Problem with a Variable Transform on Time, Theoretical and Applied Mechanics Japan, Vol.54, 319-326, 2005. (Link to Publication Site) ● Publication site (DOI): 10.11345/nctam.54.319 (Link to Search Site for Scientific Articles) ● Summary page in Scopus @ Elsevier: 2-s2.0-33646672916 (DOI: 10.11345/nctam.54.319, Elsevier: Scopus)
13.	Toshiki Takeuchi, Hideo Sakaguchi, Cheng-Hai Jin and Hitoshi Imai : On numerical methods for solving linear systems appearing in infinite precision numerical simulation, RIMS Kokyuroku, Vol.1198, 154-160, 2001.
14.	Masayasu Mimura, Hideo Sakaguchi and Mitsugu Matsushita : Reaction-diffusion modelling of bacterial colony patterns, Physica A: Statistical Mechanics and its Applications, Vol.282, No.1-2, 283-303, 2000.
15.	Mitsugu Matsushita, Jun-ichi Wakita, Hiroto Itoh, Kazuhiko Watanabe, Taichi Arai, Tohey Matsuyama, Hideo Sakaguchi and Masayasu Mimura : Formation of colony patterns by a bacterial cell population, Physica A: Statistical Mechanics and its Applications, Vol.274, 190-199, 1999.
16.	Mitsugu Matsushita, Jun-ichi Wakita, Hiroto Itoh, Rafols Ismael, Tohey Matsuyama, Hideo Sakaguchi and Masayasu Mimura : Interface growth and pattern formation in bacterial colonies, Physica A: Statistical Mechanics and its Applications, Vol.249, 517-524, 1998.
17.	Ali Zulfikar, Yoshitane Shinohara, Hitoshi Imai, Hideo Sakaguchi and Kuniya Okamoto : Existence and Uniqueness of Quasiperiodic Solutions to Perturbed Nonlinear Oscillators, Japan Journal of Industrial and Applied Mathematics, Vol.15, No.2, 279-293, 1998. (Summary) 本論文では摂動項を伴う非線形常微分方程式の準周期解の一意存在性定理を，概周期関数の概念を用いずに確立することを試みた．準周期解の一意性定理が成立するための摂動のパラメータの範囲を正確に示し，また一意性が保証されうる近似解の近傍をも定量的に正確に与えた．得られた結果を摂動項をもつ Duffing 型方程式と Van der Pol 型方程式に適用し，厳密解に対する一意存在性の証明に応用した． (Link to Publication Site) ● Publication site (DOI): 10.1007/BF03167405 (Link to Search Site for Scientific Articles) ● Summary page in Scopus @ Elsevier: 2-s2.0-0000780456 (DOI: 10.1007/BF03167405, Elsevier: Scopus)
18.	Mami Suzuki, Takao Ohta, Masayasu Mimura and Hideo Sakaguchi : Breathing and wiggling motions in three-species laterally inhibitory systems, Physical Review E, Statistical, Nonlinear, and Soft Matter Physics, Vol.52, No.4, 3645-3655, 1995.

Academic Paper (Unrefereed Paper):

1.	Hitoshi Imai and Hideo Sakaguchi : 熱伝導逆問題の初期値問題に関連する数値計算, RIMS Kokyuroku, Vol.1566, 170-180, 2007. (Link to Search Site for Scientific Articles) ● CiNii @ National Institute of Informatics (CRID): 1520853834961008640 (CiNii: 1520853834961008640)
2.	Hideo Sakaguchi, 渡部善隆 and Hitoshi Imai : 多倍長計算を適用した精度保証数値計算, RIMS Kokyuroku, Vol.1441, 165-172, 2005. (Link to Search Site for Scientific Articles) ● CiNii @ National Institute of Informatics (CRID): 1050282676912831488 (CiNii: 1050282676912831488)
3.	Hitoshi Imai, Toshiki Takeuchi and Hideo Sakaguchi : On Super Numerical Simulation, RIMS Kokyuroku, Vol.1265, 9-17, 2002.
4.	Toshiki Takeuchi, Hideo Sakaguchi, Cheng-Hai Jin and Hitoshi Imai : On numerical methods for solving linear systems appearing in Infinite Precision Numerical Simulation, RIMS Kokyuroku, Vol.1198, 154-160, 2001. (Link to Search Site for Scientific Articles) ● CiNii @ National Institute of Informatics (CRID): 1050845760498246912 (CiNii: 1050845760498246912)
5.	Hitoshi Imai, Toshiki Takeuchi and Hideo Sakaguchi : Infinite Precision Numerical Simulation for PDE Systems and Its Applications, RIMS Kokyuroku, Vol.1147, 42-50, 2000.
6.	Hitoshi Imai, Toshiki Takeuchi, Hideo Sakaguchi, 篠原能材 and (名) Tarmizi : 偏微分方程式の任意精度数値シミュレーションについて, RIMS Kokyuroku, Vol.1040, 92-99, 1998.
7.	Hitoshi Imai, Toshiki Takeuchi, Hideo Sakaguchi, 篠原能材 and (名) Tarmizi : 滑らかな解を持つ偏微分方程式の任意精度数値シミュレーション, Cooperative Research Report,The Institute of Statistical Mathematics, Vol.110, 158-167, 1998.

Proceeding of International Conference:

1.	Azjargal Enkhbayar, Wada Naoki, Hitoshi Imai and Hideo Sakaguchi : Numerical Computation for Smoothness of the Solution of a One-Dimensional Hyperbolic Equation, Proceedings of the Sixth International Conference on Science and Mathematics Education in Developing Countries, 78-87, Mandalay, Nov. 2013.
2.	Hitoshi Imai, Hideo Sakaguchi and 磯祐介 : Numerical computation of boundary value problems and Cauchy problems for the Tricomi equation, 台湾, Nov. 2010.
3.	Hitoshi Imai and Hideo Sakaguchi : NUMERICAL CONTINUATION FOR THE LAPLACE EQUATION WITH HIGHER ORDER REGULARIZATION, GAKUTO International Series, Mathematical Sciences and Applications, Vol.32, 131-144, Tokyo, 2010.
4.	Hideo Sakaguchi, Yoshitaka Watanabe and Hitoshi Imai : Numerical verification with multiple precision computation, Fukuoka, Oct. 2004.
5.	Hideo Sakaguchi and Hitoshi Imai : A numerical method for tracking the level set in one-dimensional problems, GAKUTO International Series, Mathematical Sciences and Applications, Vol.20, 277-288, Hong Kong, 2004.
6.	Hitoshi Imai, Hideo Sakaguchi, Tetsuya Hishinuma and Toshiki Takeuchi : Parallel Computing in Infinite Precision Numerical Simulation for PDE Systems, Proceedings of Fifth China-Japan Seminar on Numerical Mathematics, Science Press, 141-146, Beijing, Feb. 2002.

Proceeding of Domestic Conference:

1.	Hitoshi Imai and Hideo Sakaguchi : 爆発時刻を越える数値シミュレーションの可能性について, 応用数学合同研究集会報告集, 188-189, Dec. 2007.
2.	Hitoshi Imai and Hideo Sakaguchi : 熱伝導方程式の解の存在に関する数値計算, 日本応用数理学会2007年度年会講演予稿集, 334-335, Sep. 2007.
3.	Hitoshi Imai and Hideo Sakaguchi : 熱伝導方程式の初期値問題の解の解析性とその数値計算, 応用数学合同研究集会報告集, 149-150, Dec. 2006.
4.	Hitoshi Imai and Hideo Sakaguchi : 境界条件が充足していない熱伝導方程式のスペクトル選点法による数値計算, 第19回計算力学講演会講演論文集, 741-742, Nov. 2006.
5.	Hitoshi Imai and Hideo Sakaguchi : 熱伝導方程式の解の接続の数値計算について, 日本数学会応用数学分科会講演アブストラクト, 69-70, Sep. 2006.
6.	Hideo Sakaguchi, 渡部善隆 and Hitoshi Imai : 多倍長計算を適用した区間演算と精度保証数値計算, 応用数学合同研究集会報告集, 161-162, Dec. 2004.
7.	Hideo Sakaguchi, 渡部善隆 and Hitoshi Imai : 多倍長計算を適用した精度保証数値計算, Dec. 2004.
8.	Hitoshi Imai, Toshiki Takeuchi and Hideo Sakaguchi : カスプ解をもつ常微分方程式の数値計算法について, 日本数学会応用数学分科会講演アブストラクト, 121-122, Sep. 2004.
9.	Toshiki Takeuchi, Hitoshi Imai and Hideo Sakaguchi : 熱伝導逆問題における数値安定性について, 日本応用数理学会2004年度年会講演予稿集, 58-59, Sep. 2004.
10.	Hitoshi Imai, Toshiki Takeuchi and Hideo Sakaguchi : 無限精度数値シミュレーションと特異性, 日本応用数理学会2004年度年会講演予稿集, 24-25, Sep. 2004.
11.	Hideo Sakaguchi and Hitoshi Imai : 無限精度数値計算法を用いた等高点追跡手法について, 応用数学合同研究集会報告集, 163-164, Dec. 2003.
12.	Hideo Sakaguchi and Hitoshi Imai : 無限精度数値計算法を用いた等高点追跡手法について, 応用数学合同研究集会報告集, 163-164, Dec. 2003.
13.	Hideo Sakaguchi and Hitoshi Imai : 等高点追跡の無限精度数値計算, 日本応用数理学会2003年度年会講演予稿集, 298-299, Sep. 2003.
14.	Hitoshi Imai and Hideo Sakaguchi : 発展方程式の解の等高点追跡手法, 第32回数値解析シンポジウム講演予稿集, 21-22, May 2003.
15.	Toshiki Takeuchi, Hitoshi Imai and Hideo Sakaguchi : ラプラス作用素のCauchy問題に対する数値計算, 第27回発展方程式研究集会報告集, Dec. 2002.
16.	Hitoshi Imai, Toshiki Takeuchi, Hideo Sakaguchi, Hiroshi Fujiwara and Yusuke Iso : 逆問題の直接数値シミュレーションについて, 逆問題解析の諸相予稿集, Oct. 2002.
17.	Hideo Sakaguchi, Toshiki Takeuchi and Hitoshi Imai : 無限精度数値シミュレーションにおける並列計算に関するある注意点, 日本応用数理学会2002年度年会要旨集, 103, Sep. 2002.
18.	菱沼哲也, Hideo Sakaguchi, Toshiki Takeuchi and Hitoshi Imai : 摂動系の解の可視化における任意拡大, 日本応用数理学会2002年度年会要旨集, 121, Sep. 2002.
19.	Toshiki Takeuchi, Hideo Sakaguchi, Cheng-Hai Jin and Hitoshi Imai : DDMをIPNSに適用したときに現れる連立一次方程式と反復法について, 日本応用数理学会2002年度年会要旨集, 64, Sep. 2002.
20.	Hideo Sakaguchi, Hitoshi Imai and 三村昌泰 : あるパターンを区別する指標について, 応用数学合同研究集会報告集, 155-156, Dec. 2001.
21.	菱沼哲也, Hideo Sakaguchi, Hitoshi Imai, Toshiki Takeuchi and Cheng-Hai Jin : 可視化における任意拡大, 日本応用数理学会2001年度年会講演予稿集, 28-29, Oct. 2001.
22.	Hitoshi Imai, Toshiki Takeuchi, Hideo Sakaguchi and 磯祐介 : ある逆問題の無限精度数値計算, 応用数学合同研究集会報告集, 133-134, Dec. 2000.
23.	Hitoshi Imai, Toshiki Takeuchi, Hideo Sakaguchi and Cheng-Hai Jin : 熱伝導方程式に関する逆問題の無限精度計算, 第26回発展方程式研究集会報告集, 81-82, Dec. 2000.
24.	Toshiki Takeuchi, 菱沼哲也, Cheng-Hai Jin, Hitoshi Imai and Hideo Sakaguchi : 無限精度計算に現れる連立一次方程式の反復解法について, 日本応用数理学会2000年度年会講演予稿集, 66-67, Oct. 2000.
25.	Hideo Sakaguchi, Hitoshi Imai, Toshiki Takeuchi and Cheng-Hai Jin : 無限精度数値シミュレーションの並列計算について, 応用数学合同研究集会報告集, 243-246, Dec. 1999.
26.	竹内慎太郎, 三村昌泰 and Hideo Sakaguchi : バクテリアコロニーモデルの数値計算について, 応用数学合同研究集会報告集, 287-290, Dec. 1998.
27.	Hitoshi Imai, Toshiki Takeuchi, Hideo Sakaguchi and 篠原能材 : 熱伝導方程式に関する逆問題の数値計算について, 応用数学分科会講演アブストラクト, 86-89, Oct. 1998.
28.	Hitoshi Imai, Toshiki Takeuchi, Hideo Sakaguchi, (名) TARMIZI and 篠原能材 : 無限精度数値シミュレーションについて, 第4回阿波ワークショップ'97，講演論文集, 195-200, Sep. 1998.
29.	Toshiki Takeuchi, Hitoshi Imai, (名) TARMIZI, 篠原能材, Hideo Sakaguchi and 都田艶子 : 偏微分方程式の任意精度数値シミュレーション, 第27回数値解析シンポジウム，予稿集, 123-126, Jun. 1998.
30.	Hitoshi Imai, Toshiki Takeuchi, Hideo Sakaguchi, 篠原能材 and (名) TARMIZI : 偏微分方程式の無限精度数値シミュレーションについて, 第47回応用力学連合講演会，講演予稿集, 435-436, Jan. 1998.
31.	Hideo Sakaguchi and 三村昌泰 : バクテリアの数理モデルに現れる進行波解について, 応用数学合同研究集会報告集, 275-276, Dec. 1997.
32.	Toshiki Takeuchi, Hitoshi Imai, Hideo Sakaguchi, 篠原能材 and (名) TARMIZI : 楕円型偏微分方程式の任意精度数値シミュレーションについて, 応用数学合同研究集会報告集, 363-364, Dec. 1997.
33.	Hideo Sakaguchi and 三村昌泰 : バクテリアのコロニーパターン形成の数理モデルとその解析, 応用数学合同研究集会報告集, 333-334, Dec. 1996.

Et cetera, Workshop:

1.	Chandra Krishna DATTA, Hitoshi Imai and Hideo Sakaguchi : 無限階微分可能関数と解析関数の区別に関する数値計算について, 第62回理論応用力学講演会講演論文集, OS05-06-p.2, Mar. 2013.
2.	Hitoshi Imai and Hideo Sakaguchi : Numerical simulation on local solutions of partial differential equations, 第61回理論応用力学講演会講演論文集, OS08-03-p.2, Mar. 2012.
3.	Hitoshi Imai and Hideo Sakaguchi : 偏微分方程式の局所解の数値計算と応用, Dec. 2011.
4.	Hideo Sakaguchi, Hitoshi Imai and 磯祐介 : Numerical judgement on the singularity of the discretized equation by using the multiple precision arithmetic, 第60回理論応用力学講演会講演論文集, OS10-03-p.2, Mar. 2011.
5.	Hitoshi Imai, Hideo Sakaguchi and 磯祐介 : NUMERICAL SIMULATION ON NON-EXISTENCE AND NON-UNIQUENESS OF SOLUTIONS FOR THE TRICOMI EQUATION, Feb. 2011.
6.	Hitoshi Imai, Hideo Sakaguchi and 磯祐介 : On numerical computation of the Tricomi equationd, 第59回理論応用力学講演会講演論文集, 357-358, Jun. 2010.
7.	Hitoshi Imai, Hideo Sakaguchi and Toshiki Takeuchi : Numerical computation of continuation problems in the annular domain, 第58回理論応用力学講演会講演論文集, 481-482, Jun. 2009.
8.	Hitoshi Imai and Hideo Sakaguchi : Solution design for inverse problems by using Tikhonov regularization, 第58回理論応用力学講演会講演論文集, 479-480, Jun. 2009.
9.	Hitoshi Imai and Hideo Sakaguchi : 複素ニュートン法の熱伝導逆問題への応用, 第57回理論応用力学講演会講演論文集, 523-524, Jun. 2008.
10.	金珍玉, Hideo Sakaguchi, 石村直之 and Hitoshi Imai : 取引費用を考慮したBlack-Scholes方程式の空間大域的数値シミュレーション, 第56回理論応用力学講演会講演論文集, 569-570, Mar. 2007.
11.	金珍玉, Toshiki Takeuchi, Hitoshi Imai and Hideo Sakaguchi : 円環領域におけるCauchy問題の無限精度数値計算, 第56回理論応用力学講演会講演論文集, 541-542, Mar. 2007.
12.	Hitoshi Imai and Hideo Sakaguchi : 熱伝導逆問題の初期値問題の解の解析性に関する数値計算, 第56回理論応用力学講演会講演論文集, 539-540, Mar. 2007.
13.	Toshiki Takeuchi, Hitoshi Imai and Hideo Sakaguchi : 時間に関する変数変換を用いた熱伝導逆問題に対する数値計算, 第54回理論応用力学講演会講演論文集, 543-544, Jan. 2005.
14.	Hideo Sakaguchi and Hitoshi Imai : 等高点追跡の無限精度数値計算法の提案とその並列計算, 第53回理論応用力学講演会講演論文集, 405-406, Jan. 2004.
15.	Toshiki Takeuchi, Hitoshi Imai and Hideo Sakaguchi : Laplace作用素のCauchy問題における数値誤差の影響について, 第53回理論応用力学講演会講演論文集, 311-312, Jan. 2004.
16.	Hitoshi Imai, Toshiki Takeuchi and Hideo Sakaguchi : 楕円型作用素のコーシー問題に対する無限精度数値シミュレーション, 第52回理論応用力学講演会講演論文集, 195-196, Jan. 2003.
17.	Hitoshi Imai, Toshiki Takeuchi and Hideo Sakaguchi : Infinite Precision Numerical Simulation for PDE systems and Its Applications, RIMS Kokyuroku, Vol.1147, 42-50, Apr. 2000.
18.	Ali Zulfikar, 篠原能材, Hitoshi Imai, Hideo Sakaguchi and Kuniya Okamoto : 摂動項を伴う非線形振動の準周期解の存在と一意性について, IEICE Technical Report, Vol.97, No.53, 9-16, Jan. 1996. (Summary) 摂動項を伴う非線形常微分方程式の準周期解の一意存在性定理を確立し，この定理を非線形振動における慨周期現象の数理の解明に応用した．特に，非線形振動論において基本的な Duffing 型と Van der Pol 型方程式の準周期解の存在性に関して，摂動パラメータの限界を評価する不等式を導出することに成功した．

Grants-in-Aid for Scientific Research (KAKEN Grants Database @ NII.ac.jp)

爆発・成長現象のダイナミクスを明らかにする数値計算手法の開発と応用 (Project/Area Number: 18654023 )
解が存在しない微分方程式の数値シミュレーション (Project/Area Number: 14654023 )
Domain Decomposition Method for fee Boundary Problems and Its Applications (Project/Area Number: 13640119 )
Numerical analysis of the chaotic bahavior of the free boundary (Project/Area Number: 09440080 )
場の量子論における超対称性の数学的研究 (Project/Area Number: 07640220 )
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Assistant Professor : Sakaguchi, Hideo

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Grants-in-Aid for Scientific Research (KAKEN Grants Database @ NII.ac.jp)