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J-GLOBAL ID：200901049358442703
Update date: Oct. 31, 2024
XUEFENG LIU
リユウ シユウフオン | XUEFENG LIU
Affiliation and department：
Job title：
Professor
Homepage URL (1)：
https://www.xfliu.org
Research field (2)：
Applied mathematics and statistics
, Basic mathematics
Research keywords (3)：
Computer-assisted proof
, Finite Element Method
, Numerical Analysis
Research theme for competitive and other funds (17)：
- 2015 - 現在 半導体ウェハー平坦度測定の補正計算方法の開発
- 2015 - 現在 半導体ウェハー平坦度測定の補正計算方法の開発
- 2024 - 2028 補間誤差解析を超えて切り拓く有限要素法と精度保証付き数値計算の新たなる地平
- 2022 - 2026 Locally Structured Unitary Networks and Tangent Space Learning for Dynamic Systems Modeling
- 2021 - 2025 Computer-assisted solution verification for 3D flows with large Reynolds numbers
- 2021 - 2025 Set Optimization for sets with inferior-to-superior relationship and its applications to numerical analysis
- 2020 - 2024 新たな段階に入った有限要素法基盤の精度保証付き数値計算の進展
- 2021 - 2023 Computer-assisted solution verification for the Navier-Stokes equation with large Reynolds numbers
- 2018 - 2022 Computer-assisted proof for stationary solution existence of Navier-Stokes equation on 3D domain
- 2017 - 2021 Action Research of the Disseminated Business Process Management Model Suitable for Small and Medium-sized Enterprises
- 2016 - 2020 Advanced research on the Numerical verification Method based on the Finite Element Method
- 2014 - 2019 High-precision eigenvalue estimation for the Biharmonic differential operator
- 2014 - 2017 Study on Set-Valued Inequalities based on Set-Valued Analysis and Convex Analysis and its Applications to Optimization Problems
- 2013 - 2014 ウエハ平坦度測定の高速、高精度化の基礎的部分の考察、検証に関する委託
- 2011 - 2014 楕円型作用素の精 度保証つき固有値評価と非線形問題への応用
- 2011 - 2013 Verified eigenvalue estimation for elliptic differential operators and its application in non-linear problems
- 2008 - 2009 A Cloud Computing-based Information Sharing System for Mobiles
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Papers (30)：
-
Taiga Nakano, Qin Li, Meiling Yue, Xuefeng Liu. Guaranteed Lower Eigenvalue Bounds for Steklov Operators Using Conforming Finite Element Methods. Computational Methods in Applied Mathematics. 2024
-
Ryoki Endo, Xuefeng Liu. Shape optimization for the Laplacian eigenvalue over triangles and its application to interpolation error analysis. Journal of Differential Equations. 2023. 376. 750-772
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Xuefeng Liu, Tomáš Vejchodský. Projection-based guaranteed L2 error bounds for finite element approximations of Laplace eigenfunctions. Journal of Computational and Applied Mathematics. 2023. 429
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Taiga Nakano, Xuefeng Liu. Guaranteed local error estimation for finite element solutions of boundary value problems. Journal of Computational and Applied Mathematics. 2023. 425
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Xuefeng Liu, Tomáš Vejchodský. Fully computable a posteriori error bounds for eigenfunctions. Numerische Mathematik. 2022. 152. 1. 183-221
ｍore...
Books (3)：
-
Guaranteed computational methods for self-adjoint differential eigenvalue problems
Springer 2024 ISBN:9789819735761
-
精度保証付き数値計算の基礎
コロナ社 2018 ISBN:9784339028874
-
Analysis of error constants for linear conforming and nonconforming funite elements = 適合および非適合1次有限要素の誤差定数の解析
東京大学数理科学研究科 2009
Education (2)：
- 2004 - 2009 The University of Tokyo Graduate School, Division of Mathematical Sciences Mathematical Science
- 1998 - 2003 The University of Science & Technology of China Department of Mathematics
Professional career (3)：
- Bachelor (University of Science and Technology of China)
- Master (Mathematical science) (The University of Tokyo)
- Doctor (Mathematical science) (The University of Tokyo)
Work history (3)：
- 2023/09 - 現在 Tokyo Woman's Christian University Professor
- 2014/10 - 2023/08 Niigata University Mathematical Science, Fundamental Sciences, Graduate School of Science and Technology Associate Professor
- 2009/08/01 - 2014/09/30 Waseda University Research Institute for Science and Engineering Visiting Researcher, Assistant Professor
Committee career (1)：
- 2015/04 - 2019/03 日本応用数理学会 日本応用数理学会論文誌 論文編集委員
Association Membership(s) (2)：
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