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Shinya UCHIUMI

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

Research Interests

Discipline
applied mathematics, numerical analysis for PDEs
Equations
convection-diffusion equation, Navier-Stokes equations
Methods
finite element method, method of characteristics, Lagrange-Galerkin method, pressure-stabilized method, projection method

Preprint

  1. S. Uchiumi.
    A pressure-stabilized projection Lagrange--Galerkin scheme for the transient Oseen problem.
    arXiv:2111.04018 [math.NA]

Refereed Papers

  1. M. Tabata and S. Uchiumi.
    Behavior of Lagrange-Galerkin solutions to the Navier-Stokes problem for small time increment.
    Accepted for publication in Numerical Methods for Partial Differential Equations.
  2. 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.
  3. 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
  4. 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
  5. 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
  6. 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

Education

Supervisor
Professor Masahisa Tabata
(Professor Emeritus of Kyushu University)
Doctor of Science
Waseda University, March 2017
Master of Science
Waseda University, March 2014
Bachelor of Science
Waseda University, March 2012