業績リスト(森正武先生が生前にご自身で選ばれたものです)
学術論文[1] Masatake Mori and Michikazu Kumagai, Gel formation in polyvinyl alcoholﬁlm by heat treatment after exposure to ultra-violet light, Japanese J. Appl.
Phys. 3 (1964), 11–15.
[2] Masatake Mori and Kenji Doi, Crystallite size distribution of γ-ray irradiatedpolyethylenes as revealed by Fourier transformation of line proﬁles, Japanese
J. Appl. Phys. 3 (1964), 112–116.
[3] Masatake Mori, Tsutomu Watanabe and Kanji Katsuura, Collisional excitationtransfer between atoms in the resonant process, J. Phys. Soc. Japan 19 (1964),
380–386.
[4] Masatake Mori and Hiroshi Fujita, On the transition probability in ionizationof atoms by collision, J. Phys. Soc. Japan 20 (1965), 432–437.
[5] Masatake Mori, On the transition probability in ionization of atoms by collision
II. Ionization of atoms by collision with excited helium, J. Phys. Soc. Japan
21 (1966), 979–986.
[6] Masatake Mori, Exponential approximation for transition probability, J. Phys.
Soc. Japan 23 (1967), 1086–1093.
[7] Masatake Mori, Ionization cross-section of an atom by de-excitation of anothermetastable atom through collision, J. Phys. Soc. Japan 26 (1969), 773-776.
[8] Hitoshi Fujii, Hiroki Nakamura and Masatake Mori, Ionization of hydrogenatoms in slow collisions with metastable helium atoms He∗ (21 S,23 S), J. Phys.
Soc. Japan 29 (1970), 1030–1040.
[9] Hidetosi Takahasi and Masatake Mori, Error estimation in the numerical integration of analytic functions, Report of the Computer Centre, Univ. of Tokyo
3 (1970), 41–108.
[10] Hidetosi Takahasi and Masatake Mori, Estimation of errors in the numericalquadrature of analytic functions, Applicable Analysis 1 (1971), 201–229.
[11] Masatake Mori and Makoto Natori, Error estimation in the linear approximation of analytic functions, Report of the Computer Centre, Univ. of Tokyo 4(1971/72), 1–17.
[12] Hidetosi Takahasi and Masatake Mori, Quadrature formulas obtained by variable transformation, Numer. Math. 21 (1973), 206–219.
[13] Masatake Mori, On the superiority of the trapezoidal rule for the integration of
periodic analytic functions, Memoirs of Numerical Mathematics, No.1 (1974),
11–19.
1[14] Hidetosi Takahasi and Masatake Mori, Double exponential formulas for numerical integration, Publ. RIMS. Kyoto Univ. 9 (1974), 721–741.
[15] Masatake Mori, Approximation of exponential function of a matrix by continued fraction expansion, Publ. RIMS. Kyoto Univ. 10 (1974), 257–269.
[16] Masatake Mori, Numerical solution of the Stefan problem by the ﬁnite element
method, Memoirs of Numerical Mathematics, No.2 (1975), 35–44.
[17] Masatake Mori, Stability and convergence of a ﬁnite element method for solving
the Stefan problem, Publ. RIMS. Kyoto Univ. 12 (1976), 539–563.
[18] Masatake Mori, A ﬁnite element method for solving the two phase Stefan problem in one space dimension, Publ. RIMS. Kyoto Univ. 13 (1977), 723–753.
[19] Masatake Mori, An IMT-type double exponential formula for numerical integration, Publ. RIMS. Kyoto Univ. 14 (1978), 713–729.
[20] Masatake Mori, Analytic representations suitable for numerical computation ofsome special functions, Numer. Math. 35 (1980), 163–174.
[21] Masatake Mori, A method for evaluation of the error function of real and complex variable with high relative accuracy, Publ. RIMS. Kyoto Univ. 19 (1983),
1081–1094.
[22] Hidetosi Takahasi and Masatake Mori, Analytic continuation of some special
functions by variable transformation, Japan J. Appl. Math. 1 (1984), 337–346.
[23] Masatake Mori, Quadrature formulas obtained by variable transformation andthe DE-rule, J. Comput. Appl. Math. 12 & 13 (1985), 119–130.
[24] Masataka Watanabe, Hiroyuki Nakajima and Masatake Mori, A ﬁnite element
solution of a tidal current problem in the Seto Inland Sea by using the ICCG
method, Internat. J. Numer. Methods Engrg. 21 (1985), 1427–1445.
[25] 須賀伸介，南知行，森正武，ステファン問題の有限要素解析に現れる非対称行列に対するＰＣＲ法，情報処理学会論文誌 26 (1985), 1041–1048.
[26] Masatake Mori, An error analysis of quadrature formulas obtained by variabletransformatiom, Algebraic Analysis, Vol.1, ed. M. Kashiwara and T. Kawai,
1988, 423–437, Academic Press.
[27] Masatake Mori, Makoto Natori and Zhang Guo-feng, A ﬁnite element analysis
of a free surface drainage problem of two immiscible ﬂuids, Intern. J. Numer.
Methods in Fluids 9 (1989), 569–582.
[28] 杉原正顕，小柳義夫，森正武，藤野清次，ベクトル計算機におけるＳＯＲ的方法の効率について，情報処理学会論文誌 31 (1990), 930–938.
[29] 藤野清次，杉原正顕，小柳義夫，森正武，ＳＯＲ法のベクトル計算機向き書換えによる効率の低下，情報処理学会論文誌 32 (1991), 373–382.

2

[30] Masatake Mori, Developments in the double exponential formulas for numerical integration, Proceedings of the International Congress of Mathematicians
Kyoto 1990, 1585–1594, 1991, Springer-Verlag.
[31] Masaaki Sugihara, Yoshio Oyanagi, Masatake Mori and Seiji Fujino, On theeﬃciency of an SOR-like method suited to vector processor, J. Comput. Appl.
Math. 35 (1991), 33–51.
[32] Seiji Fujino, Masatake Mori and Toshiki Takeuchi, Performance of hyperplaneordering on vector computers, J. Comput. Appl. Math. 38 (1991), 125–136.
[33] Takuya Ooura and Masatake Mori, The double exponential formula for oscillatory functions over the hals inﬁnite interval, J. Comput. Appl. Math. 38(1991), 353–360.
[34] Masatake Mori and Takuya Ooura, Double exponential formulas for Fourier
type integrals with a divergent integrand, Contributions in Numerical Mathematics, ed. R.P.Agarwal, World Scientiﬁc Series in Applicable Analysis Vol.2(1993), 301–308.
[35] 降旗大介，恩田智彦，森正武，Cahn-Hilliard 方程式の差分法による数値解析，
日本応用数理学会論文誌 3 (1993), 217–228.
[36] 緒方秀教，杉原正顕，森正武，Cauchy の主値及び Hadamard の有限部分に対する DE 公式，日本応用数理学会論文誌 3 (1993), 309–322.
[37] Daisuke Furihata and Masatake Mori, A stable ﬁnite diﬀerence schemes for the
Cahn-Hilliard equation based on a Lypunov functional, Z. angew. Math. Mech.
76 S1 (1996), 405–406.
[38] 松尾宇泰，杉原正顕，森正武，行列の条件数の推定方法の数値的評価，日本応用数理学会論文誌 7 (1997), 307–319.
[39] 降旗大介，森正武，偏微分方程式に対する差分スキームの離散的変分による統一的導出，日本応用数理学会論文誌 8 (1998), 317–340.
[40] 松尾宇泰，杉原正顕，森正武，非線形 Schrödinger 方程式に対する差分スキー
ムの離散的変分による導出，日本応用数理学会論文誌 8 (1998), 405–426.
[41] Takuya Ooura and Masatake Mori, A robust double exponential formula for
Fourier-type integrals, J. Comput. Appl. Math. 112 (1999), 229–241.
[42] Masatake Mori and Masaaki Sugihara, The double exponential transformationin numerical analysis, J. Comput. Appl. Math. 127 (2001), 287–296.
[43] Saburou Saitoh and Masatake Mori, Representations of analytic functions interms of local values by means of the Riemann mapping function, Complex
Variables, 45 (2001), 387–393.
[44] Takayasu Matsuo, Masaaki Sugihara, Daisuke Furihata and Masatake Mori,
Spatially accurate dissipative or conservative schemes derived by the discretevariational mathod, Japan J. Industr. Appl. Math., 19 (2002), 311–330.
3

[45] 森正武，マイヌル メメット, 二重指数関数型変換による不定積分の計算法, 日本応用数理学会論文誌, Vol.13, No.3, 2003, 361–366.
[46] Mayinur Muhammad, Masatake Mori, Double exponential formulas for numerical indeﬁnite integration, J. Comput. Appl. Math., 161, (2003), 431–448.
[47] 森正武，マイヌル メメット, 二重指数関数型変換による累次積分の計算, 日本応用数理学会論文誌, Vol.13, No.4, 2003, 485–493.
[48] Mayinur Muhammad, Ahniyaz Nurmuhammad, Masatake Mori, Masaaki Sugihara, Numnerical solution of integral equations by means of the Sinc collocation method based on the double exponential transformation, J. Comput.
Appl. Math., 177 (2005) 269–286.
[49] Mayinur Muhammad, Masatake Mori, Numerical iterated integration basedon the double exponential transformation, Japan J. Indust. Appl. Math., 22(2005), 77–86.
[50] Ahniyaz Nurmuhammad, Mayinur Muhammad, Masatake Mori, Masaaki Sugihara, Double exponential tranformation in the Sinc-collocation method for aboundary value problem with fourth-order ordinary diﬀerential equation, J.
Comput. Appl. Math., 182 (2005), 32–50.
[51] Ahniyaz Nurmuhammad, Mayinur Muhammad, Masatake Mori, Numerical solution of initial value problems based on the double exponential transformation,
Publ. RIMS Kyoto Univ., 41 (2005), 937–948.
[52] Masatake Mori, Discovery of the Double Exponential Transformation and Its
Developments, Publ. RIMS Kyoto Univ., 41 (2005), 897–935.
[53] Masatake Mori, Toshihiko Echigo, Numerical Green’s method based on the DEtransformation, Japan J. Indust. Appl. Math., 23 (2006), 193–205.
[54] Ahniyaz Nurmuhammad, Mayinur Muhammad, Masatake Mori, Sinc-Galerkinmethod based on the DE transformation for the boundary value problem offourth-order ODE, J. Comput. Appl. Math., 206 (2007), 17–26.
[55] Masatake Mori, Ahniyaz Nurmuhammad, Takefumi Murai, Numerical solutionof Volterra integral equations with weakly singular kernel based on the DE-Sinc
method, Japan J. Indust. Appl. Math., 25 (2008), 165–183.
[56] Masatake Mori, Ahniyaz Nurmuhammad, Mayinur Muhammad, DE-Sinc Method
for Second Order Singularly Perturbed Boundary Value Problems, Japan J. Indust. Appl. Math., 26 (2009), 193–205.

4

国際会議論文[57] Tsutomu Watanabe, Masatake Mori, Hiroki Nakamura and Hitoshi Fujii, Ionization of atoms by collision with excited atoms, Recent Developments in Mass
Spectroscopy, Proceedings of the International Conference on Mass Spectroscopy,
Kyoto, 1970, 963–967, University of Tokyo Press.
[58] Masatake Mori, A ﬁnite element method for solving moving boundary problems,
Preprints of IFIP Working Conference on Modelling of Environment Systems,
Tokyo, ed. Tosiyasu L. Kunii and Yoichi Kaya, 1976, 167–171.
[59] Masatake Mori, Stability of a ﬁnite element method for solving the Stefan
problem in one space dimension, Functional Analysis and Numerical Analysis,
Japan-France Seminar, Tokyo and Kyoto 1976, ed. Hiroshi Fujita, 1978, 317–
336, Japan Society for the Promotion of Science.
[60] Masatake Mori and Makoto Natori, FEM and BEM applied to a free boundary
problem for ﬂows in a blast furnace, Proceedings of the Seventh International
Symposium on Computing Methods in Applied Science and Engineering VII,
ed. R.Glowinski and J.-L.Lions, 1986, 275–286, North-Holland.
[61] Masatake Mori, The double exponential formulas for numerical integration overthe half inﬁnite interval, Numerical Mathematics Singapore 1988, Proceedingsof International Conference on Numerical Mathematics, Singapore, 1988, 367–
379, Birkhauser.
[62] Masatake Mori, Visualization of the residual polynomials of the CG and the
PCG methods, Proceedings of the International Symposium on Numerical
Analysis, Ankara, 1987, ed. O. Celebi and B. Karasozen, 257–271, 1989, Middle
East Technical University, Ankara.
[63] Daisuke Furihata, Tomohiro Onda and Masatake Mori, A numerical analysis
of some phase separation problem, Proceedings of the First China-Japan Seminar on Numerical Analysis, Beijing, August 1992, World Scientiﬁc, Series on
Applied Mathematics, ed. Zhong-Ci Shi and T. Ushijima, 1993, 29–44.
[64] Daisuke Furihata, Tomohiro Onda and Masatake Mori, A ﬁnite diﬀerence
scheme for the Cahn-Hilliard equation based on a Lyapunov functional, Proceedings of the International Conference on Nonlinear Mathematical Problems
in Industry, ed. H.Kawarada, N.Kenmochi, N.Yanagihara, Gakuto International Series, Mathematical Sciences and Applications, Vol.2, 347–358, 1993,
Gakkotosho.
[65] Daisuke Furihata and Masatake Mori, A general derivation method of ﬁnite
diﬀerence schemes by means of a discrete variation, Proceedings of Third ChinaJapan Seminar on Numerical Mathematics, Science Press, ed. Zhong-Ci Shi and
M. Mori, 1998, 44–56.

5

[66] Masatake Mori, The DE transformation in numerical integration, Proceedingsof the 1st COE Workshop on Human Adaptive Mechatronics (HAM), 2004,
75–78.
[67] Ahniyaz Nurmuhammad, Mayinur Muhammad, Masatake Mori, Numerical solution of the boundary value problem based on the DE transformation, Proceedings of the 1st COE Workshop on Human Adaptive Mechatronics (HAM),
2004, 153-156.
[68] Mayinur Muhammad, Masatake Mori, Numerical indeﬁnite integration basedon the DE transformation, Proceedings of the 1st COE Workshop on Human
Adaptive Mechatronics (HAM), 2004, 157-160.
[69] Masatake Mori, Mayinur Muhammad, Ahniyaz Nurmuhammad, Numerical solution of the integral equations based on the double exponential transformation, Proceedings of the 2nd COE Workshop on Human Adaptive Mechatronics(HAM), 2005, 35–39.
[70] Ahniyaz Nurmuhammad, Mayinur Muhammad, Masatake Mori, Numerical solution of initial value problem based on the double exponential transformation, Proceedings of the 2nd COE Workshop on Human Adaptive Mechatronics(HAM), 2005, 157–161.
[71] Mayinur Muhammad, Masatake Mori, Double exponential formula for iterated
integral , Proceedings of the 2nd COE Workshop on Human Adaptive Mechatronics (HAM), 2005, 167–171.
[72] Masatake Mori, Ahniyaz Nurmuhammad, Mayinur Muhammad, The double
exponential transformation for indeﬁnite integrals and its applications, Proceedings of the Seventh China-Japan Seminar on Numerical Mathematics, ed.
Zhong-Ci Shi and H. Okamoto, 2006, 99–106.
[73] Masatake Mori, Ahniyaz Nurmuhammad, Mayinur Muhammad, Numerical solution of diﬀerential-algebraic equations based on the DE-Sinc method, Proceedings of the 3rd COE Workshop on Human Adaptive Mechatronics (HAM),
2006, 117–122.
[74] Mayinur Muhammad, Masatake Mori, Sinc-Galerkin method based on the DEtransformation for the boundary value problem of fourth-order ODE, Proceedings of the 3rd COE Workshop on Human Adaptive Mechatronics (HAM),
2006, 231–236.

6

国際会議招待講演[75] Quadrature formulas obtained by variable transformation and the DE-rule,International Conference on Computational and Applied Mathematics, Leuven,
Belgium, July 1984.
[76] FEM and BEM applied to a free boundary problem for ﬂows in a blast furnace,
The Seventh International Symposium on Computing Methods in Applied Sciences and Engineering, Versailles, France, December 1985.
[77] The double exponential formulas for numerical integration over the half inﬁnite
interval, International Conference on Numerical Mathematics, Singapore, July
1988.
[78] Developments in the double exponential formulas for numerical integration,
International Congress of Mathematicians, Kyoto, Japan, August 1990.
[79] The double exponential formula for oscillatory functions over the half inﬁnite interval, International Symposium on Computational Mathematics, Matsuyama,
Japan, Septermber 1990.
[80] Education of engineering mathematics in Japanese universities, International
Symposium on Engineering Mathematics and Applications, Shenzhen, China,
May 29, 1992.
[81] A numerical analysis of some phase separation problem, The First China-Japan
Joint Seminar on Numerical Mathematics, Beijing, China, August 1992.
[82] A variable transformation technique for numerical integration of Fourier type
integrals, International Conference on Numerical Approximation and Applications, Dalian, China, August 1995.
[83] A family of quadrature formulas for Fourier type integrals obtained by variabletransformation, International Conference on Pure and Applied Mathematics,
Bahrain, November 1995.
[84] A general derivation method of ﬁnete diﬀernce schemes by means of discretevariation, The Third China-Japan Joint Seminar on Numerical Mathematics,
Dalian, China, August 1996.
[85] The double exponential transformation and its developments, The International
Congress of Chinese Mathematicians 2001, Taiwan, December 18, 2001.
[86] Mathematics education in engineering departments in Japanese universities inthis information-oriented society, The Third International Conference on Mathematics Education and Cultural History of Mathematics in this InformationOriented Society, Kyoto, Japan, July 26, 2002.
[87] The double exponential transformation for indeﬁnite integrals and its applications, The 7th China-Japan Joint Seminar for Computational Mathematics
and Scientiﬁc Computing, Zhang Jiajie, August 2004.
7

[88] Discovery of the double exponential transformation and its developments, International Workshop on Thirty Years of Double Exponential Transforms, Kyoto,
Japan, September 2004.

8

著書[89] 数値解析とＦＯＲＴＲＡＮ, 1969，1983，丸善（共著）．
[90] ＬＩＳＰとその応用例, 1972，産業図書（共著）．
[91] 数値解析, 1973，共立出版（単著）．
[92] 曲線と曲面, 1974，教育出版（単著）．
[93] 数値解析と複素関数論, 1975，筑摩書房（単著）．
[94] 数値計算 （岩波講座 情報科学 18）, 1982，岩波書店（共著筆頭）．
[95] 有限要素法とその応用 （応用数学叢書）, 1983，岩波書店（単著）．
[96] 数値解析法 （朝倉現代物理学講座７）, 1984，朝倉書店（単著）．
[97] The Finite Element Method and Its Applications, 1986，Macmillan（単著）．
[98] ＦＯＲＴＲＡＮ７７ 数値計算プログラミング, 1986，岩波書店（単著）．
[99] ＦＯＲＴＲＡＮ７７ 図形処理プログラミング, 1991，岩波書店（単著）．
[100] 数値計算の基礎 （岩波講座「応用数学」方法１）, 1993，岩波書店（共著）．
[101] 複素関数論Ｉ （岩波講座「応用数学」基礎３）, 1993，岩波書店（共著）．
[102] 線形計算, （岩波講座「応用数学」方法２）, 1994，岩波書店（共著）．
[103] 複素関数論 II, （岩波講座「応用数学」基礎３）, 1994，岩波書店（共著）．

翻訳書[104] システム理論 II 線形・非線形システム, 1978，共立出版，共訳（L. A. Zadeh
and E. Polak, System Theory, 1969, McGraw-Hill）．
[105] 計算機のための数値計算法, 1978，日本コンピュータ協会，単訳（G. E. Forsythe,
M. A. Malcolm and C. B. Moler, Computer Methods for Mathematical Computations, 1977, Prentice-Hall）．
[106] 偏微分方程式の有限要素法, 1978，日本コンピュータ協会，単訳（A. R. Mitchel
and R. Wait, The Finite Element Method in Partial Diﬀerential Equations,
1977, John Wiley & Sons）．
[107] 計算機による数値積分法, 1981，日本コンピュータ協会，単訳（P. J. Davis and
P. Rabinowitz, Methods in Numerical Integration, 1975, Academic Press）．
[108] 計算機による数値計算法, 1982，日本コンピュータ協会，共訳（B. Carnahan,
H. A. Luther and J. O. Wilkes, Applied Numerical Methods, 1969, John Wiley& Sons）．

9京都大学数理解析研究所講究録[109] 高橋秀俊，森正武，解析関数の数値積分の誤差の新しい評価法，No.91 (1970)
119–141.
[110] 高橋秀俊，森正武，解析関数の数値積分の誤差評価，No.115 (1971) 222–269.
[111] 森正武，数値解析と超関数論，No.145 (1972) 1-11.
[112] 高橋秀俊，森正武，変数変換によって得られる積分公式，No.149 (1972) 93–110.
[113] 高橋秀俊，森正武，数値積分による特殊関数の計算，No.149 (1972) 130–145.
[114] 森正武，解析関数の多項式近似とその誤差解析，No.153 (1972) 1–29.
[115] 高橋秀俊，森正武，変数変換による Taylor 級数の収束の加速，No.172 (1973)
78–87.
[116] 高橋秀俊，森正武，変数変換によって得られる積分公式 (2)，No.172 (1973)
88–104.
[117] 森正武，線形常微分方程式のチェビシェフ級数解と変換 z = 12 (w + w1 ), No.190(1973) 118–128.
[118] 森正武，非線形方程式 ut = uxx + 1/(1 − u) に対する初期値-境界値問題の数
値解，No.190 (1973) 148–155.


[119] 森正武， 0∞ f (x)xα e−x dx で定義される特殊関数の数値計算，No.190 (1973)
166–172.
[120] 森正武，Approximation of Exponential Function of a Matrix by Continued
Fraction Expansion, No.199 (1974) 98–114.
[121] 森正武，高橋知子，発展方程式の数値解法の能率の比較，No.215 (1974) 1–11.
[122] 森正武，指数関数の連分数展開の有限要素法への応用，No.241 (1975) 170-177.
[123] 森正武，二重指数関数型数値積分公式（1 次元），No.241 (1975) 178-181.
[124] 森正武，ステファン問題の有限要素法による解法の安定性と収束，No.264 (1976)
53–84.
[125] 森正武，ステファン問題の有限要素近似解，No.269 (1976) 98–114.
[126] 森正武，IMT 型の二重指数関数型数値積分公式について，No.310 (1977) 32–47.
[127] 森正武，漸近級数の収束級数への変換，No.373 (1979) 91–113.
[128] 高橋秀俊，森正武，変数変換を用いた特殊関数の新しい計算法，No.382 (1980)
39–53.
[129] 森正武，今井敬子，長大桁・長大指数演算パッケージ MULPAC とその応用，
No.382 (1981) 103–111.
[130] 森正武，一様な相対誤差をもつ誤差関数の計算法，No.453 (1982) 226–239.
10[131] 森正武，並列数値計算のシミュレーション，No.463 (1982) 72–89.
[132] 中島裕之，森正武，渡辺正孝，潮汐流の有限要素解析に現れる連立一次方程式に対する ICCG 法，No.483 (1983) 63–85．
[133] 須賀伸介，南知行，森 正武，ステファン問題の有限要素解析に現れる非対称行列に対する PCR 法，No.548 (1985) 71–89．
[134] 森 正武，解決すべき数値計算基本問題—問題提起と討論—，No.553 (1985)
166–170．
[135] 森 正武，ICCG 法と残差多項式，No.585 (1986) 113–129．
[136] 鳥居達生，森 正武，浜田穂積，大野直哉，パネル討論 数値計算需要の拡大とソフトウェア構築における問題点—マイクロコンピュータも意識して—，No.648(1988) 262–272．
[137] 藤野清次，田村哲郎，森 正武，一般曲線座標系における反復解法（SOR 法）の高速化について，No.717 (1990) 58–67．
[138] 大浦拓哉，森 正武，振動型半無限積分に対する変数変換型公式，No.717 (1990)
68–75．
[139] 杉原正顕，森 正武，楕円 Modular 関数を用いた関数の解析接続について，No.717(1990) 76–89．
[140] 藤野清次，森 正武，竹内敏己，超平面法のベクトル計算機上の性能，No.746(1991) 11–21．
[141] 緒方秀教，杉原正顕，森 正武，Hadamard 有限部分積分に対する DE 公式，
No.791 (1992) 206–219．
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[143] 藤野清次，張紹良，森 正武，Bi-CGSTAB 法の収束過程の可視化，No.791 (1992)
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[144] 降旗大介，恩田智彦，森 正武，Cahn-Hilliard 方程式の差分法による数値的解法，No.812 (1992) 67–93．
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