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20120217 の履歴(No.6)


組合せ数学・数値解析学合同ワークショップ*1

~ Combinatorics and Numerical Analysis Joint Workshop ~

Organizers

Yoshihiro Mizoguchi (Kyushu University),
Tetsuji Taniguchi (Matsue College of Technology),
Tsuyoshi Miezaki (Oita National College of Technology)

  • Advisary: 坂内 英一(上海交通大学/九州大学)

Eiichi Bannai (Shanhai Jiao Tong University / Kyushu University)

Date

  • 2012年 2月17日(金) 10:00-18:00
    (February 17, 2012. 10:00-18:00)

Location

Programs

Abstract

Yaokun Wu(上海交通大学)

  Yaokun Wu (Shanhai Jiao Tong University)

  • Title: TBA

小関 健太(国立情報学研究所)

  Kenta Ozeki (National Institute of Informatics)

  • Title: TBA

陳 小君(香港理工大学)

  Xiaojun Chen (The Hong Kong University of Science and Technology)

  • Title: TBA

木村 拓馬(佐世保工業高等専門学校),木下 武彦(京都大学数理解析研究所),中尾 充宏(佐世保工業高等専門学校)

  Takuma Kimura (Sasebo National College of Technology), Takehiko Kinoshita (RIMS, Kyoto University) and Mitsuhiro T. Nakao (Sasebo National College of Technology)

  • Title: A numerical method to prove the existence of solutions for nonlinear parabolic problems
  • Abstract:
    We present numerical verification methods for parabolic problems. Our main result is a constructive a posteriori estimates of inverse operators for initial-boundary value problems in linear parabolic PDEs on a bounded domain.

The proposed a posteriori estimates is based on error analysis of the Galerkin approximation for boundary value problems in space direction and the piecewise linear interpolation for initial value problems in time. Applying the result, we can numerically prove the existence of solutions for nonlinear parabolic initial-boundary value problems. Some numerical results will be shown in the talk.

田中 守(東北大学大学院 理学研究科)

  Mamoru Tanaka (Tohoku University)

  • Title: TBA

平坂 貢(釜山国立大学)

  Mitsugu Hirasaka (Pusan National University)

  • Title: TBA