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Shinya UCHIUMI

(Dr.)
WASEDA University Researcher Database
Affiliation
Research Associate,
Department of Applied Mathematics, School of Fundamental Science and Engineering,
Waseda University
Address
Room 63-419, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan
Phone
+81-3-5286-3330
e-mail
メールアドレスの画像 Both addresses are available.

Research Interests

Numerical analysis, the convection-diffusion equation, the Navier-Stokes equations, the finite element methods and the Lagrange-Galerkin methods.

Education

April 2014--March 2017
Ph.D. Waseda University
April 2012--March 2014
M.S. Waseda University
April 2008--March 2012
B.S. Waseda University

Refereed Papers

  1. M. Tabata and S. Uchiumi.
    Numerical computation of triangular cavity flows by a Lagrange-Galerkin scheme with a locally linearized velocity.
    Journal of Advanced Simulation in Science and Engineering (JASSE).
    Accepted for publication.
  2. M. Tabata and S. Uchiumi.
    An exactly computable Lagrange-Galerkin scheme for the Navier-Stokes equations and its error estimates.
    Mathematics of Computation,
    doi:10.1090/mcom/3222, published electronically.
  3. M. Tabata and S. Uchiumi.
    A genuinely stable Lagrange-Galerkin scheme for convection-diffusion problems.
    Japan Journal of Industrial and Applied Mathematics, Vol. 33, No. 1, pp. 121--143, 2016.
    doi:10.1007/s13160-015-0196-2
  4. S. Uchiumi.
    Conditional stability of the Lagrange-Galerkin scheme with numerical quadrature.
    JSIAM Letters, Vol. 7, pp. 61--64, 2015.
    doi:10.14495/jsiaml.7.61

Thesis for doctoral degree