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Waseda Research Institute for Science and Engineering Institute for Mathematical Science Kickoff Meeting 早稲田大学 理工学術院総合研究所 重点研究領域「数理科学研究所」開設研究集会 Sponsors: JST CREST Grant Number JPMJCR14D4, Japan (S. Oishi) JSPS Grant No. 15H02061 (M. Taniguchi) JSPS Grant No. 16H06339 (H. Kozono) Computational Mathematics ՜ 2 () Statistical Mathematics ≔ arg max () = −1 ( −1 ) ′( −1 ) Session 2: Keynote Talks (11:40-15:40) 11:40 – 12:10 Nicholas J. Higham Society for Industrial and Applied Mathematics 12:10 – 12:40 Marc Hallin Université Libre de Bruxelles 14:30 – 15:00 Siegfried M. Rump Technische Universität Hamburg 15:10 – 15:40 Shuichi Kawashima Kyushu University = + = + ( + ) Date: Tue., March 6, 2018 Venue: Waseda University, Nishi-Waseda Campus Conference Rooms 4 & 5, 2nd floor, 63 Bldg. Nonlinear Analysis sup = (1) − Δ + ⋅ + = div = 0 =0 = + ⋅=− 1 + Session 3: Banquet 16:00 – 17:30 Organizers: Hideo Kozono Yoshihiro Shibata Shin’ichi Oishi Masanobu Taniguchi Tel: 03-5286-2749 (Sachiko Aziz) Email: kozono[at]waseda.jp (Hideo Kozono) http://www.ims.sci.waseda.ac.jp Session 1: Opening Ceremony (10:30-11:30) Shuji Hashimoto Waseda University Hiromi Nakai Waseda University Yutaka Ohta Waseda University Shigefumi Mori Kyoto University Hideo Kozono Waseda University

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Page 1: Nonlinear Analysis Computational Mathematics …Waseda Research Institute for Science and Engineering Institute for Mathematical Science Kickoff Meeting 早稲田大学 理工学術院総合研究所

Waseda Research Institute for Science and EngineeringInstitute for Mathematical Science

Kickoff Meeting

早稲田大学 理工学術院総合研究所重点研究領域「数理科学研究所」開設研究集会

Sponsors:JST CREST Grant Number JPMJCR14D4, Japan

(S. Oishi)JSPS Grant No. 15H02061 (M. Taniguchi)JSPS Grant No. 16H06339 (H. Kozono)

ComputationalMathematics

𝑇𝑛՜𝑑𝜒𝑝2(𝜇)

Statistical Mathematics𝜃𝑛 ≔ argmax

𝜃𝐿𝑛(𝜃)

𝑥𝑘 = 𝑥𝑘−1 −𝑓(𝑥𝑘−1)

𝑓′(𝑥𝑘−1)Session 2: Keynote Talks (11:40-15:40)

11:40 – 12:10

Nicholas J. HighamSociety for Industrial and Applied Mathematics

12:10 – 12:40

Marc HallinUniversité Libre de Bruxelles

14:30 – 15:00

Siegfried M. RumpTechnische Universität Hamburg

15:10 – 15:40

Shuichi KawashimaKyushu University

ቊ𝑢ℎ = 𝑃ℎ𝐹 𝑢ℎ + 𝑢⊥𝑢⊥ = 𝐹 𝑢ℎ + 𝑢⊥ − 𝑃ℎ𝐹(𝑢ℎ + 𝑢⊥)

Date: Tue., March 6, 2018Venue: Waseda University, Nishi-Waseda CampusConference Rooms 4 & 5, 2nd floor, 63 Bldg.

Nonlinear Analysis

sup𝜃

𝑄𝑛 𝜃 − 𝑄 𝜃 = 𝑜𝑝(1)

𝜕𝑢

𝜕𝑡− 𝑣Δ𝑢 + 𝑢 ⋅ 𝛻𝑢 + 𝛻𝑝 = 𝑓

div𝑢 = 0

𝑢│𝑡=0 = 𝑎

𝜕𝑣

𝜕𝑡+ 𝑣 ⋅ 𝛻 𝑣 = −

1

𝑝𝛻𝑝 + 𝑓

Session 3: Banquet16:00 – 17:30

Organizers: Hideo KozonoYoshihiro ShibataShin’ichi OishiMasanobu Taniguchi

Tel: 03-5286-2749 (Sachiko Aziz) Email: kozono[at]waseda.jp (Hideo Kozono)http://www.ims.sci.waseda.ac.jp

Session 1: Opening Ceremony (10:30-11:30)

Shuji Hashimoto Waseda University

Hiromi Nakai Waseda University

Yutaka Ohta Waseda University

Shigefumi Mori Kyoto University

Hideo Kozono Waseda University