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Name: Xuefeng LIU （劉雪峰/刘雪峰）
Affiliation: Associate Professor, Graduate School of Science and Technology, Niigata University
Address: 8050 Ikarashi 2-no-cho, Nishi-ku, Niigata City, Niigata 950-2181 Japan
Email: pj.ca.u-atagiin.cs.htam@uilfx

Online projects and services

• Ganjin online computing platform GO
• Cloud Education System (CES) クラウド教育システム GO

International events

• Activities of Sakura Science Exchange Program: 2015, 2016, 2017, 2018, 2019, 2020(Online).

News

• The paper "Error-constant estimation under the maximum norm for linear Lagrange interpolation" is published at J. of Ineq. & Appl. LINK, August, 2022.
• The paper "Fully computable a posteriori error bounds for eigenfunctions" is published at NM. LINK, arXiv:LINK, July, 2022.
• The paper "Robust Algebraic Curve Intersections with Tolerance Control" is published at CAD. LINK, June, 2022.
• The paper "Computer-assisted proof for the stationary solution existence of the Navier-Stokes equation over 3D domains" is published at CNSNS. LINK, プレスリリース：LINK, Feb., 2022.
• The paper "Explicit a posteriori and a priori error estimation for the finite element solution of Stokes equations" is published at JJIAM. LINK, 2021/1/5.
• The RIMS workshop Numerical methods for spectral problems: theory and applications will be held on Sep 2-4, 2019, at RIMS, Kyoto University. LINK
• The preprint "Explicit a posteriori local error estimation for FEM solutions(Hypercircle法による有限要素解の局所事後誤差評価について)" is submitted to arXiv. Link at arxiv.org, 2019/05/23. Published on 12/15/2019 [LINK]
• The preprint "Explicit eigenvalue bounds of differential operators defined by symmetric positive semi-definite bilinear forms" is submitted to arXiv. Link at arxiv.org, 2019/04/24. Published on 12/14/2019 [LINK]
• The preprint "Rigorous and fully computable a posteriori error bounds for eigenfunctions" is submitted to arXiv. Link at arxiv.org, 2019/04/16.
• The paper "Guaranteed Eigenvalue Bounds for the Steklov Eigenvalue Problem" is accepted by SIAM Journal on Numerical Analysis (SINUM). Link at arxiv.org. 2019/04/12. [Link at SINUM ]
• The paper "Optimal estimation for the Fujino–Morley interpolation error constants" is accepted by Japan Journal of Industrial and Applied Mathematics. Link at arxiv.org. Published version: Go. 2019/04/06.
• The paper "Explicit Finite Element Error Estimates for Nonhomogeneous Neumann problems" is accepted by Applications of Mathematics. Link at arxiv.org. Published version: Go. 2018/06/05.
• The paper "Explicit Estimation of Error Constants Appearing in Non-conforming Linear Triangular Finite Element" is uploaded to arxiv.org. Published version: Go. 2018/05/27.
• The paper "Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements" is published in Japan Journal of Industrial and Applied Mathematics (link pdf), 2017/03/01.
• The paper " Explicit Bound for Quadratic Lagrange Interpolation Constant on Triangular Finite Elements" is published in Applied Mathematics and Computation (link), 2017/10/14.
• The paper "A framework of verified eigenvalue bounds for self-adjoint differential operators" is published in Applied Mathematics and Computation (link, PDF), 2015/04/05.
• Associate Professor at Graduate School of Science and Technology, Niigata University, Oct. 1st, 2014.
• The paper "Remark on computable a priori error estimation for higher degree finite element solution of elliptic problem" is accepted by NOLTA IEICE., Oct, 2013.
• The paper "Guaranteed high-precision estimation for P0 interpolation constants on triangular finite elements" has just been published and is available by SpringerLink. Sep 24, 2013
• The paper "Verified eigenvalue evaluation for Laplacian over polygonal domain of arbitrary shape" is accepted by SIAM on Numerical Analysis, April 9th, 2013
• Update the page for "Linear Algebra 2013" 2013/04/10.
• Update the page for "Linear Algebra 2012" 2012/04/08.
• Add page for course "Linear Algebra" 2011/05/08.
• Homepage opened. 2011/03/10.