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Shinya UCHIUMI

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Address
Department of Mathematics, Faculty of Science, Gakushuin University,
1-5-1 Mejiro, Toshima-ku, Tokyo 171-8588 Japan
e-mail
Mail address
Affiliation
Department of Mathematics, Faculty of Science, Gakushuin University
Title
Assistant Professor
Degree
Doctor of Science

Research Interests

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

Refereed Papers

  1. S. Uchiumi.
    A Viscosity-Independent Error Estimate of a Pressure-Stabilized Lagrange-Galerkin Scheme for the Oseen Problem.
    Journal of Scientific Computing, 80(2), pp. 834--858, 2019.
    doi:10.1007/s10915-019-00958-7.
  2. 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
  3. 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
  4. 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
  5. 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
Doctor of Science, Waseda University
March 2014
Master of Science, Waseda University
March 2012
Bachelor of Science, Waseda University