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〈力学系・精度保証付き数値計算〉
Showing the original Japanese · View translation
力学系と精度保証付き数値計算で、微分方程式の特異な振る舞いを解き明かす研究室。
AboutAbout the lab
変に見える物も、見方を変えれば素直。
松江 要 教授の
微分方
応用数学を
Key terms
- 力学系
- 微分方
程式が 生み出す、 時間とともに 状態が 移り 変わる 仕組み - 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 急激な 振る 舞いを 示す こと - 精度保証付き数値計算
- 計算機を
使いながら、 解の 存在や 爆発時刻などを 数学的に 厳密に 保証する 数値計算 - 無限遠ダイナミクス
- 相
空間を 無限遠も 含む形に 直し、 無限遠での 解の 振る 舞いを 調べる 考え方
NewsLab news
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 共著論文が
Japan Journal of Industrial and Applied Mathematics に 掲載 共著論文が
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 論文が
Discrete and Continuous Dynamical Systems に 掲載
ResearchResearch themes
この
*Illustrative image有限時間特異性と力学系
微分方
*Illustrative image力学系の精度保証付き数値計算
急激な
*Illustrative image燃焼科学・工学
応用数学を
MembersFaculty
- Professor松江 要
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Write a lab reviewAnonymous · Your draft is saved if you stopRelatedLabs similar to 〈力学系・精度保証付き数値計算〉
力学系・精度保証付き数値計算
〈数値解析・数値流体力学〉マス・フォア・インダストリ研究所 リエゾン戦略部門数値解析・数値流体力学・数値電磁気学。
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: “FitzHugh-Nagumo Model” Cosmia Nebula / CC BY-SA 4.0 (cropped)
- 有限時間
特異性と 力学系: “Airplane vortex edit” NASA Langley Research Center (NASA-LaRC), Edited by Fir0002 / Public domain (cropped) - 力学系の
精度保証付き数値計算: “Interval multiplication” 作者不詳 / Public domain (cropped) - 燃焼科学・工学: “Close-up of a Fire” Thomas Kirchel / CC BY 4.0 (cropped)
- Related lab (力学系・精度保証付き数値計算
（松江 要） ): “Flow and orbit of vector field (dynamical system)” Yapparina / CC0 (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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