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Shinya UCHIUMI

WASEDA University Researcher Database
Affiliation
Department of Applied Mathematics, School of Fundamental Science and Engineering,
Waseda University
Title
Assistant Professor
Degree
Doctor of Science
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.

Preprint

  1. S. Uchiumi.
    A viscosity-independent error estimate of a pressure-stabilized Lagrange-Galerkin scheme for the Oseen problem.
    arXiv:1712.04150 [math.NA]

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, Vol. 4, No. 1, pp. 1--13, 2018.
    doi:10.15748/jasse.4.1
  2. M. Tabata and S. Uchiumi.
    An exactly computable Lagrange-Galerkin scheme for the Navier-Stokes equations and its error estimates.
    Mathematics of Computation, Vol. 87, pp. 39--67, 2018.
    doi:10.1090/mcom/3222
  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

Academic Background

Supervisor
Professor Masahisa Tabata
(Professor Emeritus of Kyushu University)
March 2017
DSc Waseda University
March 2014
MSc Waseda University
March 2012
BSc Waseda University