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力学系・精度保証付き数値計算(松江 要)
Showing the original Japanese · View translation
微分方程式の特異な振る舞いを力学系と数値計算で探る研究室。

AboutAbout the lab
変に見える物も、見方を変えれば素直。
松江研究室は、
研究は、
微分方
松江教授は、
Key terms
- 力学系
- 時間とともに
状態が 変わる 仕組みを、 微分方 程式などで 表して 調べる 数学の 分野 - 有限時間
特異性 - 微分方
程式の 解が、 有限の 時間で 爆発、 絶滅、 急冷、 衝突と いった 特異な 振る 舞いを する こと - 精度保証付き数値計算
- 誤差を
見積もりながら 計算し、 解の 存在などを 数学的に 保証する 数値計算の 方法
NewsLab news
松江教授が、
最新の プレプリントを arXivに 公開し国際誌へ 投稿 松江教授の
論文が、 日本応用数理学会誌 「応用数理」に 掲載決定 松江教授らの
論文が、 Japan Journal of Industrial and Applied Mathematics に 掲載 松江教授らの
論文が、 SIAM Journal on Applied Mathematics に 掲載 博士課程の
学生が、 日本数学会九州支部会で 九州若手数 学者発表賞を 受賞
ResearchResearch themes
松江教授の
*Illustrative image有限時間特異性と力学系
微分方
*Illustrative image力学系での精度保証付き数値計算
有限時間で
*Illustrative image炎の動きの原理(燃焼科学)
炎と
MembersFaculty
- Professor松江 要
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数値解析・数値流体力学The information on this page is compiled by the LabLog team from the lab's public information and interviews. For corrections or removal requests, please contact LabLog, not the lab.
Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Flow and orbit of vector field (dynamical system)” Yapparina / CC0 (cropped)
- 有限時間
特異性と 力学系: “The swan and the feather” Bvsydow / CC BY-SA 4.0 (cropped) - 力学系での
精度保証付き数値計算: “Jaguar Supercomputer ( )” Oak Ridge National Laboratory / CC BY 2.0 (cropped) - 炎の
動きの 原理 (燃焼科学) : “FIRE 01” MarcusObal / CC BY-SA 3.0 (cropped) - Related lab (〈力学系・精度保証付き数値計算〉): “FitzHugh-Nagumo Model” Cosmia Nebula / CC BY-SA 4.0 (cropped)
- Related lab (〈数値解析・数値流体力学〉): “Biomechanics-Femur-Fracture-Nail-Internal Fixation-CAD-FEM” Fry72 Karel Frydrýšek, Tomáš Halo, Daniel Čepica / CC BY-SA 4.0 (cropped)
- Related lab (数値解析・数値流体力学
(田上 大助) ): “AbsoluteErrorNumericalDifferentiationExample” Berland / Public domain (cropped)
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